N alm/SBi '•'■''i iff.,'.',' '■>'/', -"'J :'.; ii PN1V.0F &ROHTO 'BRMtt i-v' .;,'.-:. ito:y^'-t'(v^ I '.V i . !'('•'< THE RAY SOCIETY. INSTITUTED MDCCCXL1V. L O N 1) O N MDCCCLXII. r ZW 7? ON THE GERMINATION, DEVELOPMENT, ANT) FRUCTIFICATION or THE HIGHER CRYPTOGAMIA, AND ON THE FEUCTIFICATION OF THE CONIFERS. BY Dr. WILHELM IIOFMEISTER. TRANSLATED BY FREDERICK CURREY, M.A., F.R.S., Sec. L.S. LONDON: PUBLISHED FOR THE RAY SOCIETY, BY ROBERT HAEDWICKE, 192, PICCADILLY. MDCCCLXII. . This papilla is soon separated by a transverse septum from the rest of the cell-cavity. The new semi-oval cell, after previous longitudinal expansion, is divided by a transverse septum (PI. XV, fig. V). The lower one of the cells thus produced is the stalk, the other the mother- cell of the gemma. The latter increases considerably in breadth, and by means of transverse division, which is always repeated twice in the terminal cell, it becomes transformed into a row of four short, wide, and low cells. Each of them divides by a longitudinal septum (PI. XV, fig. 2). The three lower pairs of cells thus formed are divided by septa parallel to the last-mentioned septum ; the lower pair once, the two higher pairs twice. The repetitions of the division occur, as is usual in similar cases, always in the outer cells. Each of the two apical cells of the bud, on the other hand, divide by septa having a strong lateral inclination, into an inner and an outer cell, the former having a trapezoidal, and the latter a triangular basal, outline. The former is 106 HOFMEISTElt, ON soon divided by a septum at right angles to the longitu- dinal line of the bud. The latter cell, after previous trans- verse expansion, divides by a septum parallel to the chord of the arc represented by that portion of the margin of the bud to which the cell in question belongs. The outer ones of the newly formed cells then divide by septa at right angles with the last-formed septum (PI. XV, figs. 3 — 5 ; and compare Nageli's excellent account of this pro- cess, 'Zeitschr. f. Bot.,' Hft. 2, S. 150). The further in- crease in the cells of the bud is caused by the growth of septa in the cells of its fore edge alternately at right angles or parallel to its margin, and by the formation of septa parallel to the margin in the cells of the edge of its lower part. The increase in breadth of the apex exceeds, at an early period, that of the base (PI. XV, figs. 3, 4). The longitudinal growth of the bud is limited, as is the case with all the shoots of the Marchantiese. When it is finished a very considerable increase in the breadth of the lower part of the bud commences. Here the marginal cells divide repeatedly by septa parallel to the margin, alternating with radial septa. The marginal cells also of the upper part, with the exception of those of the apex, multiply in like manner, although less actively ; they are soon overtaken by those of the lower part. The cells, however, of those two places on the lateral margins at which, at an earlier period, the upper, wider half of the bud separated itself from the lowTer, narrower portion, take no part whatever in this multiplication (PL XV, fig. 7), and as little also in the important expansion in length and breadth which occurs shortly afterwards in the remaining cells of the buds. In this way two very deep, lateral in- dentations are produced in the middle of the buds, the inner- most space of which indentations is occupied by a group of small cells, with a trapezoidal basal outline (PI. XV, figs. 7, 8). At the time when as many as ten cells can be counted in the longitudinal line of the bud, this group appears as a single layer of cells. Then, for the first time, it begins to grow in thickness ; in the first place, by the division of the cells of the middle region by horizontal septa (PI. XV, fig. 1*). For a still longer period the Ion- THE HIGHER CRYPTOGAM I A. 107 gitudinal growth of the bud is produced exclusively by di- vision of the apical eells, by means of septa at right angles to the surfaces of the bud; the transverse septa which appear in the apical cells are strictly vertical ; the fore edge of the bud is a simple cellular layer. Afterwards, for the first time, when the middle region has become more and more thickened by the repeated formation of septa parallel to the surface, and when this thickening has ad- vanced close to the fore edge, the transverse septa appear in the apical cells, inclined alternately upwards and downwards, and parallel to the circumference of the bud. Thus the form of longitudinal growth of the bud passes into that which occurs in the shoots of older plants. The arrangement of the buds of Lunularia and of Marchantia, with respect to the longitudinal axis of the shoot upon which they originate, is a very constant one ; their surfaces are always at right angles to that axis (PL XV, figs. V, 19). Until their longitudinal growth is almost completed, the buds are surrounded by a trans- parent gelatinous mucilage. When the growth of the bud in length and breadth is ended, the cell which supports it dies and withers, and the bud becomes free. A. moist sub- stratum outside the receptacle is all that is now necessary for its further development. Under such circumstances some of the cells of its under side first grow out into rootlets. Then new shoots begin to be developed from the bottom of the lateral indentations of the bud. The middle cell of the group which has been so long arrested in its growth, and which is somewhat larger than its neighbours, becomes the mother-cell of the first new shoot (PI. XV, fig. 8). It divides by a transverse septum, and the front one of the new cells by a longitudinal septum. The division of the latter by laterally inclined septa causes the further growth of the shoot, which pro- ceeds precisely in the same manner as that in which the new shoots of Pellia epiphyUa develope themselves, with this difference only, that the transverse divisions of the apical cells are always produced by means of septa inclined to the horizon in alternate directions. The lateral margins of the young shoots thus formed amalgamate 108 HOFMEISTER, ON for a considerable extent with those of the indentation of the bud. The cells which have amalgamated expand con- siderably in length, and to some extent in breadth. When a shoot is formed in each of the two lateral indenta- tions the bud becomes developed into a wide band, on one side of which may be seen the spot at which the bud was attached to the cell which bore it, and which spot is con- spicuous from its brown colour, and by the arrangement of the cells by which it is surrounded. This is the case in Marchantia pohjmorplia (PL XV, fig. 9). In Lunularia vulgaris, on the other hand, it is a rule almost without ex- ception that a shoot is developed only on one side of the bud, the shoot on the other side becoming abortive. Here the bud in its further growth, assumes the form of a disc drawn out in breadth, and having an indentation on one side. On the other side it sends out a long band, constricted at the fore edge, and on a third side the primary place of attachment is still visible (PL XV, fig. 20). On both sides of the new shoot, and in the angles which it forms with the prominent portions of the lateral margin of the bud, two new cellular masses are formed which are capable of development — in the first place a median, and then two lateral shoots. The shoot com- posed of the three amalgamated shoots unites by its lateral margins with those portions of the next oldest shoot which adjoin it on the right hand and on the left, and it soon makes its appearance out of the indentation, in the form of a flat mass of cellular tissue, having two notches at the fore edge, and becoming wider in front. A second form of growth, in which the shoots make their appearance in irregular positions, occurs occasionally in Lunularia and Marchantia, and more frequently in Targionia, Rebouillia, and Fegatella. A process of cell- multiplication commences in individual cells (usually near the median line) of the under side of perfect shoots, by means of which slender, delicate shoots are produced, which soon throw out rootlets, and which, by the decay of their posterior parts, separate from the mother-plant and be- come independent individuals. They exhibit exactly the THE HIGHER CRYPTOGAMIA. 109 same arrangement of the cells as the vigorous normal shoots of the mother-plant ; this may be observed most clearly in Fegatella conica. The mode of ramification of this second form of bud agrees with that of germ-plants ; the fore edge widens considerably, the lateral portions grow more vigorously than the median point, and from the latter a new shoot protrudes, at whose sides the shoots of a new order originate. This process differs materially from the development of the bulbils. There is here the same difference as exists between the development of the germ-plants and the buds of Riccia. The leaves of the Marehantiese are delicate lamellae of cellu- lar tissue, closely pressed to the under side of the flat stem. In an advanced state they sometimes exhibit at the base a double layer of cells containing a small quantity of chloro- phyll, the remainder consisting of a single layer of hyaline cells. They develope themselves in a backward direction, towards the place where three shoots unite to form one shoot, and are situated on the under side of the shoot, in two rows parallel to its longitudinal axis, arranged according to the fraction J. The first rudiments of the leaf are formed as follows : — one of the cells of the under side of the stem protrudes outwardly, and the protuberance becomes divided from the original cell-cavity by a transverse septum (PL XVI, fig. 15). At this time the stem is but little developed in breadth, and is almost semicircular in a transverse section. The rudiment of the leaf increases in length by repeated transverse division of its apical cell. The cells of the second degree are divided by longitudinal septa (PI. XVI, figs. 15, 16). In Fegatella conica this division, even in the youngest stage of the leaf, extends as far as the apical cell ; the leaf, when only four cells in height, appears to consist of a short, double row of flat cells (PI. XVI, fig. 11). The three pairs of interstitial cells divide by septa parallel to the margin, and the two apical cells by septa inclined somewhat laterally. The two inner ones of the four cells which at this period constitute the fore edge of the young leaf are now divided by transverse septa, and the four cells thus formed by longitudinal septa (PI. XVI, fig. 12). The outline of the leaf then becomes 110 HOFMEISTER, ON rounded by a process of cell-formation which appears very similar to that by which the cells of the very young gemmae of Marchantia increase in breadth (PL XVI, fig. 13). The cell-multiplication on the side of the leaf furthest from the median line of the shoot soon exceeds that of the other side, causing the one-sided appearance which is usual in the leaves of Marchantia. The cell-multiplication is arrested at the apex, whilst it continues at the base. Many of the marginal cells grow into crooked, short, bi- cellular, clavate hairs, similar to those which are found close under the fore edge of rapidly growing shoots of Pellia, as well as in the young parts of many other Jungermanniae. Individual cells, arranged at definite distances on the margin, multiply for a longer period than their neighbours, by which means the leaf soon becomes angular. The development of the leaves of Targionia, Rebouillia, Lunularia, and Marchantia, appears not to differ essentially from the above. In Marchantia polj/morpha even the leaves exhibit the tendency, common in these plants, of sending out from the margins of their vegetative organs dentate, chaffy processes, a tendency which is seen on the marginal scales on the edges of the bud-receptacles on the perichaete and perigone. By these processes the leaves are beautifully fringed. The well known characteristic structure of the flat stem of the Marchantieae is marked by the separation of the tissue of the stem into — first, an inferior layer of large, very elongated cells, without intercellular spaces; — secondly, a layer superimposed upon the latter layer, and con- sisting of moniliform rows of cells, separated by wide air-cavities and rich in chlorophyll, which layer is di- vided into partitions by rhomboidal, cellular walls, each consisting of a single stratum ; — and, lastly, an epider- mis with transparent cell-contents, covering the latter layer, which is in close connexion only with the cellu- lar walls just mentioned, and is pierced by a stomate of peculiar structure at the middle point of each of the partitions of the underlying layer. The foundation of this peculiar structure is laid at a very early period. At a little distance behind the punctum vegetationis of THE HIGHER CRYPTOGAMIA. Ill the very young shoot, long before the completion of its growth in thickness, air-cavities are formed just under the upper surface, separated from it only by a single layer of cells (PI. XV, fig. 21; PL XVI, fig. 3). The portions of tissue between the air-cavities form a network of single rows of cells. As these cells continue to divide by septa parallel to the surface of the stem, the lid of the air-cavities is carried upwards. The base of the cavities is quite flat. Lastly, after repeated pre- vious bipartition of the cells of the base, by means of vertical septa placed crosswise, the latter cells protrude upwards (PI. XV, fig. 21), and by repeated transverse division are quickly transformed into the monihform chains of cells which, when the shoot is perfected, are pressed closely to one another and fill up the air-cavi- ties. The epidermal cell which is situated over the middle of each air-cavity separates by repeated bipartition into four (Marchantia), six (Fegatella, PI. XVI, fig. 4), or more (Rebouillia) three-sided cells arranged in a circle. In the centre of the circle the cells part from one another; a polyhedral opening is formed, the circumfer- ence of which, owing to the expansion in a tangential direction of the surrounding cells, is often considerable, and through which the air-cavities, in which air is secreted at an early period, comes into contact with the atmo- sphere. The first development of the stomata of the Mar- chantieae is only distinguished from that of higher plants by the fact that more than one bipartition of the mother- cell precedes the opening of the commissure of the cells which form the boundary of the opening. The cells, from four to eight in number, which sur- round the stomata of the Marchantieae divide, during the expansion of the stem to which they belong, by means of septa parallel to the small side walls ; this often occurs repeatedly, so that a hollow arch, with a perforated apex, is formed over the middle point of the air-cavity. The outer walls of the circular, wart-like protuberance of the epidermis divide also by radial septa. The inflorescence of a Marchantia owes its origin to the 112 H0FME1STER, ON preponderating development in thickness and length, and the proportionally small development in breadth, of the median component of the last vegetative shoot. In its earliest youth it exhibits a hemispherical, and at a some- what later period a cylindrical, mass of fleshy, cellular tissue, with a bluntly rounded apex (PI. XVI, fig. 5 ; PI. XI, fig. 10). Its longitudinal growth results, as is the case in vegetative shoots, from repeated division of the apical cell by means of alternately inclined septa, except that at the first commencement of the formation of the in- florescence no more than one apical cell is present (PI. XVI, fig. 5). During the further development there is formed on its under side a deep channel, which is (PI. XVI, fig. 7) destined to receive the rootlets which are produced at a later period by the upper pileate portion, into which the apex of the young rudiment of the head of the fruit is transformed by means of active growth in the direction of its breadth. The under side of the stem of some species {Marchantia polymorpha, PL XVI, fig. 17, for instance) exhibits two such channels. In both cases the channels appear to originate in an active multiplication of the cells of the inverted sides of the stem of the receptacle. The root- lets first appear from the lower end of the channel, and pene- trate into the ground. The shoot which produces the inflorescence bears nu- merous narrow, scattered leaves, in which the apex always consists of one cell and the base of (at the most) a few cells. The leaves are not produced on the apical portion, which eventually forms the fruit. It may often be observed that the cells of the base in these leaves multiply for a much longer period than those of the apex. i The lateral portions of the undermost oldest parts of the common stem of Bebotnllia hemispherica extend consider- ably forwards ; they close together so as to form a very narrow, linear fissure in front of the transversely oval chan- nel, and they amalgamate with the prominent lateral por- tions of the fore edge of the shoot upon which the fruit- stem is situated. The outer surface bears connivent leaves above the apex of the rudiment of the inflorescence. The longitudinal channel of the under side of the fruit- stem does THE HIGHER CRYPTOGAMIA. 113 not reach quite to its base ; it projects in the form of a blunt knob into the indentation of the fore edge of the last vegetative shoot (PI. XII, fig. 17). The differentiation of the tissue of the leafy, expanded, vegetative shoots is not continued into the stem of the fruc- tifying shoot. At the point where it is attached to the next older shoot the upper side of the stem decreases by a steep inclination to the extent of the height of the layer which bears the air-cavities (PL XV, fig. 12 ; PI. XVI, fig. 17). The archegonia spring from the lateral margins of the receptacle in the form of cylinders of cellular tissue directed obliquely upwards (PL XV, fig. C). The essential features of their development and structure correspond with those of the J linger manniee and the mosses. Very soon after the appearance of the archegonia the portion of the receptacle above them begins to grow considerably in breadth, and also downwards. The archegonia, in consequence, appear shortly afterwards to be situated on the under side of the expanded receptacle (PL XV, fig. 11; PL XVI, fig. 7). The receptacle of Rebouilla hemispherica usually produces onlv four archegonia ; sometimes one more, frequently less. The cells of the upper surface of the ventral portion of the archegonium divide at an early period by septa parallel to the axis ; even before the bursting of the apex the central cell is surrounded by a double layer of cells (PL XVI, fig. 17). The neck is considerably bent upwards. The ex- pansion of the receptacle above the archegonia takes place at a late period compared with the other Marchantieae, i. e. not till after the opening of the apices of the arche- gonia. The growth of the margin of the receptacle down- wards is at first more vigorous between the archegonia than above them. In the neighbourhood of impregnated archegonia these circumstances are altered. The tissue of the receptacle above them increases in mass not less actively than in their neighbourhood. Afleshysheath is formed, encircling the fore part and sides of the swollen ventral portion of the arche- gonium. Behind the young calyptra also the margins of the sheath approximate to one another, so as to form a narrow fissure ; the bent neck onlv of the archegonium projects out 8 114 IIOFMEISTER, ON of the narrow covering which is closely attached to the calyptra (PL XVI, fig. 20). Viewed from the outside, these processes of the receptacle appear like fleshy appendages of its margin. The number of them is the same as that of the impregnated archegonia, viz., from one to five. (See Bischoffs figures, ' N. A. A. C. L.,' vol. xvii, part 2, pi. 49, figs. 1 — 4.) The tendency of the ventral portion of the archegonium of Rebouillia to develope itself largely is especially remark- able in archegonia just impregnated. Here the multipli- cation of the cells near the central cell is so rapid that the latter becomes a wide, flask-shaped cavity, even before the occurrence of the first division of the germinal vesicle con- tained in its interior. This elongated, ellipsoidal cell lies free in the cavity, entirely imbedded in transparent muci- lage (PI. XVII, fig. IS). The fruit-rudiment in Reboivillia, like that of Riccia, Targionia, Marchantia, and Fegatella, exhibits the remark- able species of growth which occurs in the fruit of mosses, although, in other respects, the plants just mentioned are nearer to the Jungermannise than to the mosses. This growth consists in the division of the mother-cell by a strongly inclined septum, and a continually repeated di- vision of the apical cell of the fruit-rudiment by means of septa inclined alternately in two directions. The form of the young fruit-rudiment is very slender (PI. XVI, fig. 19); it is only a double row of elongated cells. The longitudinal growth, however, soon ends ; a considerable multiplica- tion of the cells commences in a diametrical direction, a multiplication which is more active at the apex (the future capsule) and at the base (the growing knobby enlargement) than in the middle (the future fruit-stalk). The increase in the size of the fruit is so considerable at the approach of maturity that it usually entirely destroys the upper part of the calyptra ; it then lies naked in the fleshy sheath formed by the growth of the margin of the receptacle. Fegatella conica developes from six to eight archegonia on the lateral margins of its receptacle (PL XVI, fig. 6). These archegonia are, at an early period, surrounded by the receptacle, which is growing rapidly in breadth. The mass THE HIGHER CRYPTOGAMIA. 1 L5 of the receptacle increases very considerably round the base of each archegonium, so that these soon have the ap- pearance of deep, almost cylindrical, cavities, sunk in the under side of the receptacle (PL XVII, figs. 7, 8). The fructification consists, as it were, of as many amalgamated cornet-shaped masses of cellular tissue as there are archegonia. The very considerable expansion of the cells of these masses causes their margins, in half-developed receptacles, to extend close to the point of origin of the common fruit-stalk. The archegonia of Fegatella resemble those of Rebouillia in the early and extensive development of their ventral portion. Like the great number of liverworts whose archegonia have to live through the winter, they exhibit the early duplication of the cellular layer surrounding the central cell of the ventral portion, and the extensive growth in thickness of the wall of the young calyptra after the occur- rence of impregnation (PI. XVI, fig. S). The neck is pro- portionately long. The rudimentary fruit, when consisting only of a few cells, may be very easily detached (PI. XVI, fig. 9). The ladder-like arrangement of its cells, caused by the repeated division of an apical cell by means of alternately inclined septa, is uncommonly sharply defined. The growth of the uppermost part of the young fruit in thickness, *. e. the foundation of the capsule, commences at a very early period (PI. XVI, fig. 10). The lower portion of the fruit-stem is very slightly developed ; the formation of a knotty enlarge- ment of its base is entirely suppressed. As observed by Schmidel (' Icones plant.,' p. 121) and Bischoff, the stem detaches itself spontaneously when the fruit is ripe from the tissue in which it is inserted. The first archegonia of Mar 'chantia polymorphs appear in like manner at the margin of the young receptacle, usually eight in number, placed at regular distances. Those at the hinder part of the recep- tacle {i. e. turned away from the fore edge of the plant) are developed, as in Rebouillia and Fegatella, much earlier than those on the opposite part (PI. XV, figs. 11, 12). Very soon after the appearance of the first archegonia new ones are formed on the under side of the pileate receptacle, 116 HOFMEISTER, ON and nearer to its centre, arranged in radial double rows (PL XV, fig. 11). A phenomenon, of which traces are seen in Rebouillia, is very strongly marked in Marchantia : the underside of the margin of the receptacle is developed at a very early period between each two archegonia into a process extending downwards for a considerable distance, whose form gradually passes from that of a hemispherical wart to that of a long, cylindrical prolongation, curved slightly inwards, with deep, longitudinal furrows on the under side, in which rootlets lie concealed. The archegonia of Marchantia polymorpka are large-celled, the ventral portion being remarkably swollen at an early period. A single layer of flat, tabular cells surrounds the proportionably large central cell of the ventral portion, which is attached almost immediately to the under side of the receptacle. The neck of the archegonium, which in its earliest youth is curved strongly upwards (PL XV, fig. 12), is pointed directly downwards at the time when the apex opens (PL XV, figs. 13, 14). After the parting asunder of the cells of the apex, the central cell of the ventral portion of the impregnated arche- gonium enlarges very considerably. A free, oval cell entirely fills its inner cavity. Its large central nucleus is very plainly distinguishable as a clear vesicle in the thick granular mucilage (PL XV, figs. 13, 14). The transforma- tion of this cell into the rudimentary fruit is introduced by the appearance of a much inclined longitudinal septum PI. XV, fig. 15). The septa, which are formed at a later period in the apical cell, diverge only very slightly from the longitudinal axis of the fruit. T have but seldom and only imperfectly succeeded in detaching the young rudimentary fruit. It remains for some time spherical ; its cells soon become very small by repeated cell- divisions. After the first divisions of the primary cell of the rudi- mentary fruit, the cells of the young calyptra double them- selves by the formation of septa parallel to the outer surface. A special covering has at an earlier period been formed close round each impregnated archegonium. The ring of bells of the under side of the receptacle which surrounds the case of the archegonium protrudes outwards ; the protru- THE HIGHER CRYPTOGAMTA. 117 ding portions are separated from the original cell-cavity by transverse septa (PL XV, fig. 13). By repeated transverse divisions of the apical cells of the membranous sheath, pro- duced by septa parallel to the free margin, the young covering grows in length (PI. XV, fig. 14). Its fur- ther development, viz., the transformation of the cylin- drical shape into that of a distended pitcher (PI. XV, fig. 15), corresponds to that of the covering of Frullania dilatata. Close under the arched upper surface of the receptacle of Marchantia, including the outer surfaces of the upward-growing shoots of the lateral margin, numerous air- cavities are formed, even before the first appearance of the archegonia. They are formed in the same manner as the air-cavities of the stem. At the first appearance of the air-cavity one epidermal cell only detaches itself from the underlying tissue of the receptacle (PI. XVI, fig. 17, un- derneath, to the right). By repeated transverse division of the mural rows of cells lying between the air-cavities, the lid of the cavity is carried rapidly upwards. This epidermal cell, which closes the air-cavity, forms itself into a stomate. It divides by a septum perpendicular to the outer surface, as is the case in the first stage of the stomata of the upper side of vegetative shoots ; both daughter-cells then divide by a septum at right angles to the one last formed (PI. XVI, fig. 17, in the middle). The four cells part asunder at their edges of contact, and the air-cavities come into connexion with the outward air. The four cells of which the young stomate now consists divide repeatedly by transverse septa. The first partitions thus formed are parallel to the upper side of the receptacle ; the later ones, which are produced in the upper and under of the newly formed cells, are strongly inclined either towards or away from the passage which traverses the axis of the stomate. The apex of the organ protrudes above the upper side of the receptacle in the form of a conical wart, open at the apex ; the base lies deep clown in the air-cavity (PL XVI, fig. 7). The middle part of the canal, which traverses the stomate, is strongly distended. In the mean time the apical cells of the cellular walls, which separated 118 HOFMEISTER, ON the individual air-cavities from one another, have also multiplied considerably. A remarkable transverse ex- pansion has preceded the repeated bipartitions (PI. XVI, fig. 17, at the bottom, on the left side); the sides of the cells are at an early period forced above the air-cavity, to which they are contiguous. The process of the production of those cells of the epidermis of the receptacle, which are in connexion with the cellular layers separating the air- cavities, consequently soon helps to form the lid of those cavities, which at an earlier stage was represented only by the young stomate or its mother-cell. The base of the side walls of the air-cavities of Mar- chantia soon produce moniliform chains of cells filled with chlorophyll. In Rebouillia most of the cells of those walls do not usually do more than project considerably, but individual cells grow out into short, cellular rows. The wralls of the air-cavities of the receptacle of Fegatella remain for a very long time smooth and even. The median component part of the fructifying shoot of Targionia hypojphylla does not become changed into a specially formed receptacle, but developes the archegonia at once, the latter being from one to five in number (PI. XV, fig. 21). The lower half of the archegonia is pressed into the exceedingly narrow fissure, within which the lateral wings of the fore edge of the fertile shoot confine the rudi- mentary median part. The necks of the archegonia, which are bent upwards, project from the fissure into space. A considerable increase of the parts of the tissue adjoining the archegonia in front commences even during the longi- tudinal growth of the latter. At the junction of the median shoot with the lateral wings of the fore edge, above the point of attachment of the archegonia, the cellu- lar layers expand and multiply vigorously in a longitu- dinal direction ; their thickness is proportionate to the development of the layer of air-cavities. Before the apices of the archegonia open, a flat covering is formed, which exceeds the archegonia in height, and which unites the approximated lateral portions of the fore edge into one surface. The separation of the upper side of the stem into the layer of air-cavities and the epidermal layer takes THE HIGHER CRYPTOGAMIA. 119 place within this covering (PI. XV, fig. 21). At the same time broad, fleshy, cellular masses, concave above and within, rise out of the angles between the median shoot (which bears the archegonia) and the lateral wings. They amalgamate with one another, and by their upper margin they unite with the above-mentioned covering. Thus, there is formed a blunt, triangular envelope, enclosing the lower part of the archegonia, from the narrow three-sided opening of which the apices of the unimpregnated archegonia pro- trude (PI. XV, fig. 21). The rather thin walls of the enve- lope, which are turned downwards, consist of homogene- ous cellular tissue. When a rudimentary fruit is formed in an archegonium the envelope enlarges with wonderful rapidity, especially by expansion of its cells. It very soon entirely encloses the impregnated archegonium. The cells adjoining the mouth, which continues very narrow, grow out into short papillae. The archegonia are slender, almost cylindrical. The cropped appearance of the apex, which occurs also in the archegonia of the Marchantieae, is seen with remarkable dis- tinctness (Pl.XV,figs. 22,23). The cells of the ventral portion double themselves at an early period by septa parallel to the circumference. The inner cells adjoining the central cell be- come filled with granular matter, as in Pellia (PL XV, fig. 22). Immediately after impregnation the cells of the incipient calyptra multiply very rapidly, so that, as in Rebouillia, the central cell becomes a fusiform cavity, in which the mother-cell of the rudimentary fruit lies free (PL XV, fig. 22). The rudimentary fruit in its earliest youth is narrowly spindle-shaped, composed of two double rows of cells (PL XV, fig. 24, detached; fig. 23, enclosed by the calyptra). The growth in thickness begins much earlier at the upper end than at the lower (PL XV, figs. 23, 25). The latter pene- trates deeply into the tissue of that portion of the stem which bears the impregnated archegonium, and which has become transformed by active and repeated division of its cells into a conical, cellular mass. The lower end of the rudi- mentary fruit, which is originally of a pointed, conical form, changes gradually into a spherical enlargement by trans- 120 HOFMEISTER, ON verse expansion and subsequent repeated bipartition of the cells of its circumference (PI. XV, fig. 26). The arrangement of the spore-mother-cells and of the elaters in Targionia, and also, it would seem, in the Marclian- tieae, is very much the same as in Fossombronia pusitta. At the time of the differentiation of the two kinds of contents of the capsule, the cells destined to form the elaters are hardly perceptibly longer and thinner than the future mother-cells of the spores (PL XV, fig. 29). The elaters and spore-mother-cells lie across one another somewhat like the chlorophyll-cells and the air-cells of the leaf of Sphagnum. A remarkable longitudinal expansion of the elaters first occurs when the prominences of the inner wall of the spore-mother-cell begin to be seen (PL XV, fig. 30). The antheridia of the Marchantiese are, as is well known, united in large numbers on the upper side of pecu- liarly formed shoots, and enclosed in flask-shaped cavities of the tissue. The first stage of development of these shoots in Marchan- tia polymorpha exactly resembles the first rudiments of the head of the inflorescence. Here as there the forward, upper portion of the narrow, almost cylindrical shoot becomes developed considerably in breadth, protruding beyond the lower, stem-like portion, like the pileus of a fungus. A number of cells of the upper side of this disc, which is slightly convex above and strongly so beneath, protrude outwards in the form of papillae ; between them the epi- dermis detaches itself from the underlying tissue. The shortly cylindrical cellular processes, the first rudiments of the antheridia, are outgrown by the cells surrounding them, and are sunk down into circular cavities of the upper surface. This arises from the rapid multiplication of the cells of the circle which bears the detached fragments of the epidermis, which multiplication is caused by rapid and frequently repeated division of these cells by means of septa parallel to the surface of the antheridial disc (PL XV, fig. 16). The above process commences in the middle point of the young antheridial disc, and progresses from thence to its growing margin. The mother-cell of the antheridium assumes the form of THE HIGHER CRYPTOGAMIA. 121 an elongated, oval cellular mass, consisting of four rows of cells (PI. XV, fig. 16). This arises from frequently re- peated division of the apical cell by means of alternately inclined septa, and by the production of radial longitudinal septa in the cells of the second degree. The cells of one of these rows, with the exception of the two at the base, and the one next to the apex, divide by septa parallel to the longitudinal axis of the antheridium, and cutting the side walls of the mother-cells at an angle of 45°. The antheridium now consists of a short, central string of cells, surrounded by a single layer, the cells of which are arranged in successive sets of four cells of equal height. The further development, like the preceding, corresponds with that of the antheridium of Anthoceros and Pellia, with this distinction, that the multiplication of the cells in the direction of the longitudinal axis, exceeds that in the direction of the. thickness. The ripe antheridium is oval. The apices of the cellular masses which arise between the antheridia expand considerably in breadth as soon as they have outgrown the antheridia. They consequently soon close together over the antheridium, so as to form narrow passages, hardly perceptible from the outside. The cell which covers the air-cavity develops itself into a stomate, exactly in the same way as the median cell of the covering of the air-cavities on the upper side of the recep- tacle (PI. XV, fig. 1G). The cells adjoining this cell divide by slightly inclined longitudinal septa parallel to the axis of the stomate. The inner of the cells thus produced, which form a ring round the stomate, take part in the formation of the covering of the air-cavity, expanding at the same time in breadth. In the air-cavities in the middle of the antheridial disc these cells divide frequently by longitudinal and transverse septa perpendicular to the outer surface. The cells of the base of the disc grow into the expanding air-cavities, and form chains of cells filled with chlorophyll. When the antheridia are ripe, the cells of the apical, covering layer separate from one another, the internal mucilage, swarming with thousands of active, motile spermatozoa, is forced through the narrow canal at the apex of the antheridia which opens externally, and ap- 12.2 IIOFMEISTER, ON pears in drops of considerable size upon the upper surface of the antheridial disc. The spermatozoa, which are hardly half as large as those of Pellia, consist of a delicate thread, slightly thickened at one end, and drawn out into a thin long process at the other. I could perceive no trace of lateral cilia.* I have only been able to examine the antheridia of Rebomllia hemispherica when fully developed. They are imbedded, as Eischoff's beautiful observations have shown,-r in half-moon-shaped cushions, which appear superimposed upon the median line of vegetative shoots, usually upon those which bear a fruit-receptacle. As the outside of these cushions often bear rudimentary leaves, it appears to me probable that these cushions may be considered to be weakly developed shoots, resembling to some extent, in their deve- lopment, the portions of the stem of Pellia which bear archegonia (PI. XVI, fig. 17). The antheridia are pro- portionably large, surrounded by flask-shaped cavities. In the youngest which I have examined there was still to be seen the covering layer of tabular cells (PI. XVI, fig. 17), which, at a later period, is entirely supplanted, so that a membranous sac alone encloses the cells which produce the spermatozoa. The mouth of the antheridial cavities is not often on the level, like that of Marchantia polymorplia (PI. XVI, fig. 17). It more frequently protrudes to a consi- derable height, in the form of a thick, conical point, like the antheridial envelopes of Riccia. The tissue of the anthe- ridial cushions consists of very large cells, with transparent fluid contents. The history of our knowledge of the Marchantiese is most fully treated in Bischoff's work, already so often cited, and in the fourth part of the ' Naturgeschichte Euro- paischer Lebermoose,' by Nees von Esenbeck. Except this volume, I know of no connected treatise on the develop- ment of the March antiese since the almost contemporane- ous appearance of BischofT's and Mirbel's \ large works. * Compare Thuret, ' Ann. d. Sc.,' iii ser., torn. 3, pp. 13, 14. f ' N. A. A. C. L.,' vol. xvii, pi. lxix, f. 4, 6, 7. % " Rechcrehes sur la Marchantia polymorplia," 'Mem. de 1'Acad. des Se. de 1'Iiist. de France,' vol. xiii. THE HIGHER CRYPTOGAMIA. 123 Many of the most interesting specialities are to be found in Gottsche's two writings above referred to. The above investigations of Mirbel and Bisclioff are so generally studied and known that it would be superfluous to give even a short summary of the valuable results obtained by them. Good representations of the fruit and perianth of Marchantia potymorpha are to be found in Micheli's ' Gen. PL/ p. 2, and in Dillenius's ' Hist. Muse.', pi. xxviii, figs, m, 71, who also figures the germination of the gemmae. Micheli considered the male and female plants as different species ; the relation of the two was first noticed by Hupp ('Flora Jenensis,' ii, 276), then by Dillenius (1. c, p. 524), and with certainty by Linnaeus (SP. PL. 1137). Our present more accurate knowledge of the Marchantieae dates from the publication of Schmidel's observations ('Icones pi.,' ed. ii, p. 109 M. polymorplia ; p. 120 Fega- tella conica; p. 133 Preissia commutata). Schmidel isolated the antheridia, and pointed out their mode of attach- ment to the tissue supporting them ; he gave an accurate figure of the structure of the receptacle, and described the spontaneous detachment of the fruit- stalk of Fegatella conica from the tissue of the mother-plant. Hedwig (£ Theoria generationis,' ed. ii, 1798) distinguished the enveloping cellular layer of the antheridia (p. 176), and found that in the young fruit the young perianth did not reach to the height of the mouth of the archegonium (p. 177). The object of Mirbel, in his remarkable work on Mar- chantia polymorpha ('Mem. Acad, des Sciences de l'lnst. de Prance/ xiii, 1835) was to investigate fully the history of the development of this plant in all its speciali- ties. This object was only imperfectly attained. Mirbel observed the germination of the spores. He came, how- ever, to the erroneous conclusion that the newly added cells were produced on the outside of the existing cells (I.e., p. 347). This error arose from the circumstance that in young multicellular germ-plants which are fur- nished with only one rootlet, the cell out of which the root- let is formed is very similar in shape and size to the germinating spore, whilst the latter is still unicellular, but when it has already developed a rootlet. His view of 124 HOFMEISTER, ON the origin of the quadrangular stomate upon the vegetative shoots is to some extent erroneous, for he assumed such origin to lie in the disintegration of one four-sided cell, surrounded by four epidermal cells, which (four-sided) cell is, in reality, the mother-cell of the cells which enclose the stomate, and which afterwards separate from one another. H. von Mohl commented upon this error in the ' Linnsea' (1838) and in his ' Vermischte Schriften/ p. 25:2. Mirbel's representation of the origin of the stomate sur- rounded by more than four cells is, on the other hand, quite natural (1. c, p. 356). With regard to the receptacles of the gemmae, Mirbel believed that, at the time of their appearance, the super- ficial cellular layer of the flat stem became detached from the underlying tissue, and separated into converging teeth, which soon constituted the margin of the receptacle. Mirbel has rightly apprehended the unicellular, earliest state of the gemmse (1. c, p. 350^ ; his notion of the con- temporaneous metamorphosis of the contents of the uni- cellular gemmae into a multicellular tissue filling the cell was confirmed by Niigeli in 1845 (' Zeitschrift f. wiss. Bot.,' ii, p. 150). Mirbel's investigations of the germina- tion of the gemmae of Marchantia are of especial interest. lie showed that that surface of the gemmae which happens to be in contact with the ground develops rootlets, whilst the other one forms the upper surface by development of stomata and air-cavities ; but that, twenty-four hours after being sown, and when only a few rootlets have grown out of the under side, the upper and under surfaces of the future plant have already become permanently dif- ferentiated. When gemmae, which had been sown for this short period, wTere reversed, rootlets grew from that side, which having been formerly the upper, had become the under surface, whilst those rootlets which had sprung from the quondam upper, then the under surface, con- tinued to grow, and bending themselves downwards, pene- trated the soil. During the further growth of the gemma?, however, each of the elongating lateral halves effected a semi-revolution around its axis, so that the surface which had been formerly the upper one again became the upper THE HIGHER CRYPTOGAMIA. 125 surface of the newly developed portions. In cases where obliquely incident light intersected the smaller diameter of the inverted gemmae, the younger portions of the latter bent themselves simply backwards, so that the original upper side was again turned to the light, and only rested upon the soil by the one reflexed end. The under side, which by inversion had become directed upwards, never developed stomata, not even at the points directly exposed to the light ; on the other hand, when kept in the shade and sufficiently moist, it sent out roots in every direction, and as it advanced in age exhibited pro- minent ribs (1. c, p. 355). Mirbel thought that the cell- multiplication in the interior of the gemma?, was an inter- polation of new cells between those already present (1. c, p. 352). He has not discussed in detail the mode of rami- fication of the Marchantieae, although the inquiry into this is closely connected with the investigations as to the mode of development of the gemmae. Even at a still later period, up to the present time, this ramification has generally been described as dichotomous (as, for instance, by Nees v. Esenbeck, ' Naturgesch. Europ. Lebermoose ' iv, (1S38) p. 83), whereas, in point of fact, it represents a Dichasium. We are indebted to Mirbel for very accurate accounts of the structure of the developed fructification, especially of the relation of the longitudinal forks of the stem, which are traversed by the rootlets, to the pileate expansion which bears the reproductive organs (1. c, pp. 346, 376). Mirbel was least successful in his investigations of the structure and development of the organs of sexual reproduction ; his figures are certainly beyond all comparison more elegant and satisfactory than those of Schmidel and Hedwig, but in the knowledge of the more important circumstances he is not really a step in advance of the observers just named (1. c, pp. 377 — 381). Mirbel's investigations of the develop- ment of the spores and elaters were of great scientific im- portance, the more so because, in conjunction with Mold's contemporaneous works on the same subject, they gave an impetus to the more accurate investigation of the visible processes of cell-formation and cell-multiplication. Mirbel pointed out the division of the contents of the spore-mother- 126 H0FME1STER, ON cell into four masses, each of which becomes a spore, and also the origin of the elaters, out of a previously thin-coated elongated cell (1. c, pp. 371, 382). In a treatise more par- ticularly devoted to systematic questions relative to the Marchantieae, Bischoff (' Nova Acta A. C. L.,' xviii, 1835) has communicated some interesting results ; he proved that the presence of male plants of Imnularia vulga- ris \% necessary for the development of the fruit (p. 925) ; he pointed to the simple nature of the structure of the first shoot of the germinating spore in comparison with that of the shoots of the fully developed plant (p. 953). He lias repeatedly and emphatically dwelt upon this point, and has endeavoured to distinguish these first shoots (as a prothal- lus) from the later ones (' Handb. Bot. Term./ ii, p. 733 ; 'Bot. Zeit.,' 1853, p. 113), starting manifestly from the supposition that the formation of a prothallus is peculiar to the order Muscincae, and that it must, therefore, be proved to exist generally in all liverworts (see BischofFs definition of the Muscineae in CN. A. A. C. L./ xviii, p. 958). Both Gottsche and myself have proved that there is no essential difference between the first shoot of the germ-plant and the later shoots ('Botan. Zeit.,' 1858, Supp., p. 45). This difference of opinion can give rise to no real con- troversy. The formation of a prothallus is a universal phe- nomenon in the embryonal life of plants. The development of the germinal vesicle of the phaenogams into the embryo, of the germinal vesicle of the vascular cryptogams into the rudiment of the leafy plant, and of the germinal vesicle of the Muscineae into the fruit all commence with a kind of cell-multiplication, which, at least during the first process of division, differs from the later stages of development. The first, at least, of the permanent cells thus formed does not enter into the composition of the mass of the organ which is to be constructed ; very frequently it dies. The same law prevails in the germination of the spores of ferns and of the Muscineae. In the leafless Jungermannieae, the Riccieae, and the Marchantieae, however, the boundary between the prothallus and the developed plant is not, as Bischoff considers, to be looked for at the point where the second shoot is attached to the first, but at the point where THE HIGHER CRYPTOGAMIA. 127 the primary, atypical divisions of the spore-cell terminate, and the regular arrangement of the cells of the first shoot commences. As far as present observations extend, this point is generally only a few cells distant from the hinder end of the germ plant. Few works upon the Marchantieac have appeared since those of Mirbel and Bischoff. Gottsche has given a very accurate account of the germination of Preissia commuted a ('Nova Acta A. C. L.,' xx, p. 388) ; Gronland has pub- lished some observations upon the same subject, and upon the germination of Marchardia polymorpha and Lunularia vulgaris ('Ann. d. Sc. Nat.,' iv ser., vol. i, 1854, p. 22); and lastly, Iienfrey has written upon the development of the spores and elaters of Marchantia polymorpha ('Trans. Linn. Soc.,' vol. xxi). The latter paper contains the important observation that the interior of the young capsule is filled with elongated, closely packed cells. A portion of these radiating cells consists of narrow, thin tubes, tapering at both ends ; these are the young elaters ; the wider cells are the primary mother-cells of the spores. These wider, elongated cells are divided by transverse septa into rows of cubical cells, the spore-mother-cells. Sometimes longi- tudinal division also takes place in some of the rows of cells thus formed (1. c, p. 107). The process is, therefore, very similar to that which I have described in Fruttania dikdata. The development of the spores of Marchardia polymorpha affords very little opportunity for the study of the processes of cell-multiplication, on account of the sensitiveness of the membrane and of the contents of the mother-cells. It is quite conceivable that Henfrey might have failed to see nuclei during the examination of the cells in water or iodine (1. c, p. 109). Motile spermatozoa were first observed in Marchantia by Unger (< N. A. A. C. L.,' xviii, p. 791, 1837). In his figures (1. c, pi. lvii, fig. 4) he represents correctly the relation of the two oscillating cilia of the fore end of the spermatozoon to the body of the latter, but without noticing that the duality of these cilia is normal. Meyer also (' Wiegman's Archiv,' 1838, i, p. 212) believed the sper- matozoa of Marchantia to be furnished with only one long 128 IIOFMEISTER ON THE HIGHER CRYPTOGAMIA. " tail," an unfortunate expression, inasmuch as the filiform portions take the lead when the spermatozoon is in motion. Thuret's figures of the spermatozoa of the Marchantieae are very accurate ( ' Ann. cl. Sc. Nat.,' hi scr., xvi, pi. xii ; Marchantia, Fegatella, and Targionia). CHAPTER VI. MOSSES. The stems of mosses grow by continually repeated divisions of the blunt, conical, apical cell. This cell is pointed beneath ; the division takes place by means of septa inclined in different directions. All mosses are alike in this. The form of the terminal bud is very various ; it is narrowly pointed in Sphagnum and Bacomitriwm ericoides (PI. XXI, fig. 19); it is blunt in Phascum and in many others ; hemispherical in Hypnum ; and very slightly arched in Polytrichum and Dicranum scoparium, where it is, in fact, almost a level surface, upon which the youngest leaves are arranged concentrically. The apical cell of the stem of Sphagnum is pointed be- neath, where it has three surfaces ; and this three- sided pyramid is deeply imbedded in the adjoining next older cells of the end of the stem. These cells were separated from the inner cavity of the terminal cell by the formation of septa traversing that cavity. Each new septum which is produced in the apical cell is parallel to one (and that one the oldest) of the lateral surfaces, and cuts the two others. The newly formed cell of the second degree has the form of a body with rhombic fore and hind surfaces and with four rectangular lateral surfaces, one of which, the smaller one (the free outer wall of the cell), is slightly arched. The successive septa produced in the apical cell are therefore arranged spirally, and the spiral is normally a left-handed one, in accordance with the arrangement of 9 130 HOFMEISTER, ON the leaves.* Each cell of the second degree divides very soon after its separation from the apical cell, by a septum at right angles to the longitudinal axis of the stem, which septum cuts the free outer wall, and also that lateral wall of the cell which is turned towards the apical cell. * The first correct account of the cell-multiplication in the outermost apex of the stem of Sphagnum was given by Niigeli ('Pflanzen. physiol-Unter- suchungen,' i, Zurich, 1855, p. 76). I had previously ('Vergl. Unter- suchungen,' p. 60) erroneously conceived the process to consist in the repeated division of a two-surfaced, pointed, apical cell, by means of septa alternately parallel to either of the two lateral surfaces. The origin of tiiis error was as follows : — When the arched apex of a very slender paraboloidal cellular body consists of a single terminal cell (as is the case with the ends of the stein of Sphagnum and Equisetum), a portion of the lateral edges of the apical cell will usually be the only part clearly visible when the body is viewed from above. The edges of the neighbouring cells of the second degree will not be seen. These edges form arcs, the curvature of which is greater in proportion to the size of the cells of the second degree, i. e. in proportion to the size of that por- tion of the terminal cell which is cut off to form the cell of the second degree. If the edges of the apical surface of the terminal cell of the bud extend so deep down that at the spot where each two intersect the sides of the bud possess a high degree of inclination, then, when the body is viewed from above, the middle part only of each edge of the apical surface can be clearly seen. When the apical cell has the form of a three-sided inverted pyramid, with its apical surface highly arched, and divides by septa arranged in a continuous spiral order, and parallel to one of the lateral surfaces, then one of the edges of the apical surface must, immediately after each division, be considerably shorter than the two others. This fact is more clearly perceptible in proportion to the size of that portion of the cell which goes to form the cell of the second degree. In a system of similar spherical triangles, with a common centre, constructed by drawing successively within each triangle arcs parallel to each one of its sides, it will be found that one of the three arcs of each successive triangle is con- siderably shorter than the other two, the difference being greater in proportion to the curvature of the arcs, and to their distance from the respective parallel sides of the next outer triangle (see the Diagram, PI. XVII, fig. 5*). When the length of the arcs exceeds 90° ; when the length of the transverse diameter of the outer surface of a cell of the second degree amounts to one half of the diameter of the cell of the first degree from the division of which it originates ; and lastly, when at the moment of division (by virtue of the inuate growing power of the plant) the form of the apical surface of the cell of the first degree is not that of an equilateral, but of an isosceles spherical triangle, then it may happen that the points of intersection of the two larger arcs with the third (very short) arc may fall quite outside the apical, vaulted surface of the organ, when the latter surface is viewed under the microscope directly from above. These remarks apply almost exactly to the apices of the stems of Sphagnum and Equisetum, if observed immediately after the occurrence of division in the apical cell. A figure of the upper surface of the terminal cell is then obtained, which is strikingly similar to the apical aspect of the two-surfaced segment of a spheroid (PI. XXII, fig. 4). Now, since in other instances (as in the apices of the stems of liverworts, of Selaginella and of certain ferns, and in the organs of fructification of mosses &c.) I had frequently ascertained that the multipli- cation of the apical cell undoubtedly took place through division by means of THE HIGHER CRYPTOGAMIA. 131 The cell of the second degree is thus divided into an upper daughter-cell, with three-sided fore and hind surfaces, and an under, four-sided cell (PL XVII, fig. 2). The free outer wall of the former forthwith becomes arched outwards, and is recognisable as the rudimentary cell of a leaf. The latter (the lower cell) divides by means of longitudinal septa, alternately tangential and radial to the axis of the stem, which division continues until the completion of the full number of the cells of the portion of the stem in question. There is no very great regularity in the suc- cession of these divisions. Sometimes one, sometimes the other, occurs first ; frequently one step of the ordinary suc- cession is passed over, and made good at a later period. In every case, however, one phenomenon is constant — at a point near the end (of the stem), about three cells downwards from the apical cell, the number of the cells of the circum- ference of the young stem is eight. An inequality in the multiplication by radial longitudinal septa of the cells of the third degree also occurs regularly ; one of these cells in each zone of the stem must lag about one division behind the two others. For if this multiplication in the cells of the third degree were uniformly active, it would follow that, inasmuch as three cells of the third degree must occur in each transverse section of the stem, the number of cells of each girdle of the outer surface of the stem must be a multiple of three. A transverse section of the perfect stem usually exhibits a number of peripheral cells which is a multiple of eight. septa inclined alternately in only two opposite directions, I was led to believe that I must necessarily assume the same to be the case in Sphagnum and Equi- setum, where 1 observed the pointed apical cells of the stem-bud had the appearance of being two -surfaced. The cases of three-sided apical cells which came under my observation, and of which I have given figures in pi. xix, fig. 7, of the ' Vergleicheude Untersuchungen,' I considered to be instances of a mode of growth which caused a change in the form of the apical cell between the period of each two divisions. Later observations have convinced me that Nageli's representation of the mode of increase of the apical cell of the stem of Sphagnum, and Cramer's account of the similar process in Equisetum, are correct. From this error there necessarily arose, in the case of Sphagnum, an additional one, viz., in the account given of the further division of the cells of the second degree, and in the statement that the rudimentary cells of the leaves were derived from these latter cells, which error I have corrected in the text above. 132 HOFMEISTER, ON 111 slender branches, especially those which hang down- wards, the bark consists very regularly of only eight longi- tudinal rows of cells. In the younger parts of the bud the axile cells of the stem are more elongated longitudinally than the peripheral cells, a circumstance which has a remarkable influence upon the slender form of the end of the stem. The arrangement of the cells of the interior of the stem into triangular plates, inclined inwards to the axis of the stem, arises from the fact that all the cells of the third part of a transverse section of the stem are derived from a single cell of the third degree. Each of these plates is higher by a portion of the length of a cell than the adjoining plate on one side of it, and is exceeded by the same portion of the length of a cell by the similar plate on the other side of it. The difference of height of two such cellular plates is almost always less than half a cell, a circumstance from which it must be concluded that the elongation of the cells of the stem preponderates in their upper portions. The above-mentioned arrangement is most clearly seen in a perfectly axile longitudinal section of a Sphagnum bud, made at some distance from the apex ; if the section deviates only slightly from the longitudinal axis of the bud, the arrangement is partially or entirely "imdistinguishable. In all the cells of the periphery of the stem (with the exception of the cells of insertion of the leaves) a transverse division occurs a short time before, or contemporaneously with, the termination of the cell-multiplication of the end of the stem, in a radial direction (PI. XVII, figs. 1, 7). This multiplication does not continue in the cells of the interior of the stem, which are elongated, instead, during its continuance, to about double their former length ; by this means the short-celled bark is differentiated from the long-celled axile-tissue. The multiplication of the stem- cells in the diametral direction is caused by the division of the slightly elongated cells of the interior of the stem, by means of septa tangential to the axis of the stem, alternating with divisions by radial longitudinal septa. The number of these cells in the transverse diameter of the stem increases tenfold from the place of insertion of THE HIGHER CRYPTOGAM I A. 133 the youngest (already multicellular) leaf, to the place where the stem ceases to increase in thickness (PI. XVII, fig. 1). This cell-multiplication does not, how- ever, occur exclusively in a specific group of cells, such as is found in many vascular plants somewhat in the form of a cylindrical envelope. It is no doubt true that the cells in which division especially occurs are those of a conical envelope lying underneath the outermost cellular layer of the conical mass of cellular tissue. But the cells of the inner layers are by no means passive (PI. XVII, fig. 1). During these processes the cells of the outer surface divide by radial longitudinal septa, and the cells of more vigorous shoots also by tangential longitudinal septa, so that the above peripheral cellular layer becomes transformed into a double, triple, or quadruple layer of cells (PI. XVII, fig. 1). In more slender shoots the latter form of cell- division is suppressed : the cells of the periphery of the stem certainly increase in number, by the formation of radial longitudinal septa, whilst they keep pace with the increase of the peri- phery of the axile cellular string ; the bark, however, re- mains, for a time at least, a simple cellular layer (PI. XVII, figs. 7, 9). The basal cells of the leaves, which are buried to a certain depth in the tissue of the stem, and which are easily recognisable by their peculiar tabular, flattened shape, present in their ends, which are turned inwards, certain indications from which it can be determined whether a multiplication of the peripheral cells of the bark of the stem has taken place or not (PI. XVII, figs. 1, 7, 8, 9). Whilst the growth in thickness of the stem is thus in course of completion, its longitudinal growth is at a stand-still. It commences with increased activity at the spot where the conical form of the end of the stem passes into the cylindrical form of the older portion. All the cells become extended to at least twelve times their former length, and during this elongation one more final process of cell-multiplication takes place in them. The cells of the interior of the axile string are often (although not with any regularity) divided by transverse septa (PI. XVIII, fig. 8). The cells of the periphery of this string divide still oftener by radial and tangential longitudinal septa. They become 134 HOFMEISTER, ON very narrow and elongated (PI. XVII, figs. 8, 9) . Lastly, the cells of the bark, in all tolerably vigorous shoots, divide once more by tangential longitudinal septa, and in all cases very frequently by transverse septa (PL XVII, fig. 8). The bark thus becomes a stratum, consisting of from two to four layers of cells. In slender shoots this duplication of the cellular layers of the bark does not take place ; trans- verse divisions only occur in their cells, so that even the fully grown bark consists of only one layer of cells. A considerable thickening takes place in the walls of the cells of the axile tissue of the ends of the stems of fully formed shoots, whose longitudinal growth remains dormant from the end of autumn until the following spring, and whose densely crowded lateral shoots form a capitate accumulation round the end of the stem. This thickening is observable in a transverse section, when made about ten cells underneath the terminal bud. The thickened cell-membranes exhibit delicate pits (PL XVII, figs. 9, 9 h), which bring to mind those of the Coniferae, inasmuch as they are usually (not always) arranged in longitudinal rows.* There are not any lenticular air-cavities between the ends of two con- tiguous pits j the ends are divided from one another by a thin, apparently homogeneous, membrane. The pits, when seen from the surface, exhibit within their circumference a narrow oval, but this appearance is probably caused by an interference of the rays of light incident from beneath. During the final longitudinal growth of the stem, during the remarkable expansion of the axile tissue of the inter- nodes (which expansion is rarely accompanied by a trans- verse division), the thickening of these cell-membranes for the most part disappears. In old stems the membranes of the middle cells become rather thin again, and less brittle than in the younger portions. It is now difficult to dis- tinguish any traces of the pits, which at an earlier period were so distinct. They have now the form of short, oblique fissures. The above-mentioned peculiar thickening of the cell-membranes only extends a short distance into the axile * Figures of these pitted cells, agreeing with those previously published by me, have also been given by 'Schimper, M6n. pres. p. div. savants,' xv, pi. iv, f.4. THE HIGHER URYPTOGAMIA. 135 tissue of the thin, lateral shoots. No trace of it is to be found in the innovations* which are developed from the ends of older, thinner, lateral shoots, and which, growing rapidly in length and thickness, ultimately exactly resemble the principal shoots in their mode of vegetation. On the other hand, after the completion of the final longitudinal expansion, a different mode of thickening occurs regularly in the elongated cells of the axile tissue of these thin- ner shoots, and also in that of the thick, principal shoots and of the lateral shoots. After the completion of this thickening the cell- membranes appear thick and indis- tinctly stratified, their colour being yellowish-brown or greenish brown, and sometimes very intense. This thick- ening is most highly developed in the narrowest peri- pheral cells of the axile cylinder ; it diminishes rapidly in the wider, median cells. When, from the arching outwards of its free surface, the rudimentary leaf-cell is recognisable as the mother-cell of the leaf, it embraces rather more than a third part of the circumference of the stem (PL XVII, figs. 3, 4, 5). At this period it still lies on the immediate boundary of the apical cell of the tip of the stem (PI. XVII, fig. 2). When viewed from above it is clearly seen that the tan- gent of its free outer margin is parallel to the tangent of the arc which is represented by that one of the lateral edges of the apical surface of the terminal cell of the tip of the stem which is turned towards the rudimentary leaf- cell (PI. XVII, figs. 4, 5). If, now, the successive divisions of the terminal cell were such that each third wall were parallel to the third last one (as in the diagram, PI. XVI, fig. bh), it would follow that, inasmuch as each cell of the second degree produces a leaf, the leaves must be arranged under one another on the stem, in three exactly parallel, longi- tudinal rows. Accurate examination, however, of a termi- nal bud shows that even in the youngest portions of the bud this is not so. Even here also the youngest leaf- rudiments have the arrangement which is characteristic of a later * Scbimper, 1. c, pi. xvi, f. 1. 136 HOFMEISTER, ON period, viz., that of a spiral, usually a left-handed one, with divergenee represented by the fractions |, §, or ^.* This circumstance can only be accounted for in two ways. It is possible that, contemporaneously with or immediately after, the formation of each leaf, a certain twisting of the portion of the stem beneath it might occur. This assumption, however, is negatived by observation. It is easily seen that even the two youngest leaves of the bud have always the same divergence as the older ones (PI. XVII, figs. 3, 4, 5). The only other possible process is that the apical cell of the stem may change its form between each twro divisions in such a manner that each cell of the second degree, which is cut off from it by the formation of a septum parallel to one of itsjateral surfaces, is with- drawn from the next previously formed similar cell by so much of the circumference of the stem as is equal to the distance of each leaf from the next youngest leaf beneath it. Observation shows that both immediately before and imme- diately after each division, the apical surface of the terminal cell has the form of an isosceles triangle (PI. XVII, figs. 4, 5). The change of form of the cell, therefore, must arise from the fact that its increase in size, after division, takes place more particularly in a direction perpendicular to the new wall formed by the division ; the youngest edge of the apical surface, which immediately after division represented one of the legs of the isosceles triangle, becomes, until the next division, relatively the shortest side ; it forms the base of the triangle, which, by the greater elongation of the two other sides, has become again isosceles, but which deviates to the extent of the angle of divergence of the phyllotaxis from its previous position. The conclusions necessarily to * A. Braun ('Nova Acta, A. C. L.,' xv, p. 279) and Schimper (1. c, p. 28) agree in representing the phyllotaxis on the middle of the stem of Sphagnum as having § divergence. I have previously spoken of f as the normal arrangement ('Vergl. Unters./ p. 61), and I find this confirmed by subsequent observations of the median shoots (PI. XVIII, fig. 5) of vigorous innovations and of germ-plants. Doubtless the | arrangement also often occurs, of which I myself have figured an example (PL XVII, fig. 4), but, however frequent, I find it much less common than the other. Nageli also found the f and T53 ar- rangements more frequent than the f. (' Pfianzen-physiolog. Uutersuchunoen,' i, Zurich, 1855, p. 77.) THE HIGHER CRYPTOGAMIA. 137 be drawn from the position of the youngest leaves, and their relation to the apical cell of the stem in Sphagnum, lead to the same results which I had previously arrived at from direct measurement of the sides and angles of the three-sided apical cells of the steins of ferns.* In Sphagnum the object is not fitted for direct measurement ; the steep inclination of the arch of the apical surface renders the accurate determination of the length of its edges impracti- cable. It is worthy of mention, however, that in the apical cells of Sphagnum- stems, with f phyllotaxis, the apical angle of the triangle is visibly much more acute than in stems with | or T53 phyllotaxis. Probably in Sphagnum, as in ferns, the change of form which the terminal cell under- goes between two divisions does not depend upon a capa- city for change of form innate in the cell alone, but is caused by the definite expansion of the cells of the second degree adjoining the apical cell. The youngest conditions of lateral shoots which have come under my observation have the form of hemispherical arched cells, which are situated on the outer surface of the terminal bud, at a distance of three or four cells in a straight line from the apical cell, near the left margin of the third or the fourth leaf, and above the middle line, in the first case of the sixth, in the second case of the seventh leaf f (PI. XVIII, figs. 16, 17). When a longitudinal sec- tion of a principal shoot is made through the longitudinal axis of the median shoot, and through that of a young- lateral branch, it is clearly seen that the place of attachment of the young lateral branch, together with the cortical cells which lie between it and the next lower cell, occupies a portion of the outer surface of the stem exactly as large as that occupied by the insertion-cell of a leaf together with the cells of the tissue of the stem which are produced from the same cell of the second degree as the insertion-cell; one of the oblique rows in which the elongated cells of the interior of the stem are arranged reaches up to the place of attachment of the branch (PI. XVII, fig. 1; PI. XVIII, figs. * 'Abhandl. Kon. Sachs. Ges. d. Wiss.,' v, 642. I shall return to this subject hereafter in speaking of the development of ferns. f Considering the leaf as viewed from the outside and from beneath. 138 H0FME1STER, ON 16, 17).* This circumstance justifies the conclusion that at the commencement of the formation of a lateral branch a portion of the apical cell-cavity, which, under ordinary cir- cumstances, becomes the primary cell of a leaf, is applied to the formation of the rudimentary cell of the branch. It is probable that the formation of the branch takes place earlier than that of the leaf which stands at the same elevation in the ascending line of the spiral of the phyllotaxis. Assuming this to be so, the process can hardly be viewed otherwise than as a separation from the four-sided terminal cell, of an irregularly shaped cell of the second degree with a three- sided apical surface ; after which separation the apical cell divides by a septum which is parallel to one of the shorter sides of the apical surface, and is inserted in the angle formed by the oldest lateral wall of the apical cell with one of the lateral surfaces of the rudimentary cell of the branch. This latter division would restore the apical cell to its three- sided pyramidal form. The direct observation of this pro- cess can only be accidental. Indications, however, of such a state of circumstances clearly exist in the occasional occurrence of very slender apices (of stems), whose conical end extends far above the last leaf-rudiment which is visible in profile, so that in the optical section of the naked cone two superposed cells of the second degree can be distin- guished on one or on both sides. f Most lateral branches ramify soon after their formation. Schimper (1. c, p. 30), judging from the anatomical struc- ture of the points of origin of perfect branches, concludes * In the ' Vergleichende Untersuchungen,' p. 62, 1 made use of an expression which might lead to the belief that I considered the lateral branches as axile in their origin. This arose from my having only had in view the relation of the elementary cell of the lateral branch to the leaf below it. Schimper, at p. SO of his work on Sphagnum, has rightly objected that, the position of the rudi- mentary as well as of the perfect lateral branches is always at the side, near the margin of the leaf which stands at the same elevation. 1 consider Schimper, however, to be in error (1. c, p. 30) in supposing that certain oval (occasionally stalked) cells, which are interpolated between each two moderately distant leaves, and which are seated upon the outer surface of the stem, are to be looked upon as the rudimentary cells of lateral branches. These cells are nothing more than the young state of the bicellular hairs, with oval terminal cells, which occur not unfrequently upon the stem of Sphagnum, and which are figured by Schimper himself (pi. v, f. 2). f Such terminal buds have often been figured, for instance, by myself in the 'Vergl. Unters.' (pi. xiii, f. 1), and by Schimper (1. c., pi. iii, f. 2, 7). THE HIGHER CRYPTOGAMIA. 139 that the branch clevelopes a number of lateral branches before the commencement of the formation of leaves ; and he treats the scale-like appendages of the young branch- buds, which I considered to be leaves, as being the rudi- ments of lateral branches (PL XVII, fig. 6). Continued observations have not afforded me a single phenomenon confirmatory of this opinion of Schimper's. I have found, without exception, that the lateral branches develope indis- putable leaves at a very early period, almost close to their place of insertion into the principal stem (PL XVII, fig. 1), and I have never seen a branch of the second order inserted on a primary branch underneath the place of origin of the first leaf. The points at which the axile cellular strings are separated from the branches., often appear to be enclosed within the bark of the fully developed principal shoot (1. c, pi. iv, fig. 4) ; but this appearance is caused by the com- paratively late commencement of the growth of this bark in the direction of its thickness. ; the bark is closely attached to, and grows round, the base of the branches, and strips off their lowest leaves. I found that the development of the stem and branches of Orthotrichum affine agrees in all essential particulars with that of Sphagnum. The first division of the rudimentary leaf-cell, which pro- trudes slightly above the circumference of the terminal bud, takes place by means of a septum springing laterally from its longitudinal axis, and perpendicular to the surfaces of the leaf. This division is succeeded by that of the apical cell, which takes place by means of a septum inclined in the opposite direction, meeting the one previously formed at an angle of 90° (PL XVII, fig. 3). By the repeated division of the apical cell by means of alternately inclined septa, the leaf grows in length. During this time the form of the apical cell is that of a low, three-sided prism, and the form of the cells of the second degree is that of a procum- bent parallelopiped. Contemporaneously with or very shortly after the forma- tion of a new cell of the second degree, the next older one divides by a transverse septum, which, like all those which take part in the formation of the leaf of Sphagnum, is per- 140 HOFMEISTER, ON penclicular to the surface of the leaf. The edge formed by the contact of this latter septum with the upper side wall of the mother-cell coincides exactly with the line in which the membrane just produced in the apical cell cuts the boundary wall of the cells of the first and second degree. The septum in question forms a right angle with the side walls of the cell of the second degree ; its direction is, therefore, exactly the same as that of the septum by which the apical cell was con temporau eously divided. The inner of the cells into which the second youngest cell of the second degree is divided has a rather long, rectangular, basal surface. Both the cells of the third degree, which are produced by the division of the cells of the second degree, are soon divided, by longitudinal septa parallel to the side walls, into equal parts, whose basal surfaces are almost exactly square (PI. XVIII, fig. 1). A similar process takes place upon each further division of the apical cell of the leaf. All the cells of the edge of the leaf which lie in the course of the prolongation of the line of direction of the newly produced septum of the apical cell divide, almost contemporaneously, with the apical cell, by septa whose direction coincides with that of the above-mentioned line (PI. XVIII, fig. 1*). The result of these processes is that in all species of Sphagnum the young leaf, with the excep- tion of its margins, appears divided into regular squares. With the exception of its edge, which appears composed of somewhat elongated cells, the entire surface of the leaf con- sists of cells whose basal outline is square, and each four of which are in contact at their edges. It is only occa- sionally that in these divisions one cell is passed over, and then one cell of the interior of the leaf is twice as wide as its neighbours, and its basal surface has the form of a paral- lelogram (PI. XVIII, fig. 1 ; see one of the cells of the fifth of the oblique rows to the left).* It is self-evident that, by the repeated division of the cells, the lower, older portion of the leaf increases consider- * From the above-mentioned processes by which the chess-board-like arrangement of the cells of the young leaf is produced, Niigeli concludes that the division of one cell has a manifest effect upon the neighbouring cell, and causes the division of the latter in the same direction ('Pfianzen-phys. Unters.,' i, p. 7S). On the other hand, I find in these facts a new ground for the con- THE HIGHER CRYPTOGAMIA. 141 ably in width. Reckoning from the youngest leaf backwards, the sixth leaf of a shoot embraces one half of the stem ; the twelfth embraces from five eighths to six eighths. Inasmuch as, during the multiplication of the cells of the base of the leaf, the cells of the stem upon which they are seated are in an active state of multiplication in a tangential direction, it follows that the place of attachment of the leaf to the stem continues, relatively, of a considerable width, amount- ing to one third of the circumference of the stem. Every section made through that part of a principal shoot which lies nearly under the apex meets, not only the longitudinal line of each eighth leaf, but also lateral portions of five intermediate leaves ; so that, in most cases, the points of insertion of two leaves are only separated by one cell of the cortical layer. When the division of the apical cell of the leaf (which division takes place by means of septa diverging alternately from the median line) ceases, a multiplication of all its cells, excepting those of the margin, commences ; this multipli- cation begins at the tip, and progresses rapidly from thence to the base. Each of the square cells divides into two rather unequal parts by means of a septum parallel to one of the sides, but not exactly traversing the middle point of the cell (PI. XVIII, fig. 2, below, to the left). The larger of the two is then divided, by means of a septum parallel to the narrow sides, into two cells of unequal size, the larger being square and the other somewhat elongated (PI. XVIII, fig. 2). After the termination of these divi- sions the surface of the leaf consists of a system of square cells, each of which is surrounded by four oblong cells. In the oblong cells chlorophyll-granules are produced, which increase rapidly and considerably in number and in size (PI. XVIII, figs. 3, 9). On the other hand, the pale- green, highly refractive, and finely granular mucilage, which elusion which I had previously drawn from similar appearances ('Abhandl. Kon. Sachs. Ges. d. Wissensch.,' vol. iv, p. 161), viz., that the growing power which regulates the form of compound vegetable organs is mainly proportionate to the form and number of the new cells in process of production, and that such power does not exhibit itself in each peculiarity of the process of cell-multipli- cation. 142 HOFMEISTER, ON fills the larger square cells, disappears, after having become turbid and gramous, but without dividing into bodies of any definite form. The contents of these latter cells become clear like water. A considerable expansion of the leaf-cells now ensues, especially in the longitudinal direc- tion. It begins at the apex of the leaf, and proceeds from thence rapidly downwards. The cells of the margin, which divided once, and only partially, by means of septa at right angles to the edge of the leaf, cannot keep pace with the increase in size of the numerous median cells ; the leaf assumes more and more the form of a cap. At the same time the first traces of the well-known annular and spiral threads begin to be visible upon the inner walls of the larger square cells. A longitudinal division of many (often of all) of the cells with watery contents frequently precedes the appearance of the threads,. especially in Sphagnum squar- rosum, so that each two thread-cells lie near one another (PI. XXIII, fig. 4). Not unfrequently, also, many of the small chlorophyll-bearing-cells divide by transverse septa (PL XXVIII, fig. 3). In the mean time the chlorophyll- granules in the small cells, which form a complicated net- work between the thread- cells, increase considerably in size. In the greater number of mosses, e.g. Phascum, Bryum, Hypnum, Polytrichum, whose early development has been admirably figured by Nageli, the formation of the leaves agrees in the principal feature — that is to say, in the nature of the repeated division of the one apical cell — with Sphagnum. An essential difference exists, however, in the fact that the number of the cells in the leaves of these mosses increases considerably by the repeated bisection of the cells of the lower part of the leaf, even after the division of the apical cell has ceased, after the latter cell and its neighbours have expanded considerably, after the contents have become transparent, and the walls of the cells of the apex of the leaf have become considerably thickened. In Sphagnum this supplementary multiplication of the cells of the base of the leaf can never be distinguished. Upon the last division of the apical cell the lateral margin of the leaf consists of a number of cells (normally from eighteen to THE HIGHER CRYPTOGAMIA. 143 twenty in Sphagnum acutifolium), which is afterwards only doubled by transverse division of the marginal cells. The above-mentioned phenomenon, on the other hand, is very distinctly marked in Polytrichum and Fissidens. It is well known that the leaves of the latter genus are arranged in two rows. The terminal bud is surrounded by the peculiar pocket-shaped duplication of the base of the last-formed leaf; each older leaf of the bud also encloses the younger leaves and the summit of the shoot in the already perfected duplication of its base. The very young leaves resemble the first rudiments of the leaves of Sphagnum. But when the leaf is only five cells in height, the method of cell- multiplication changes. As in Sphagnum, the cell of the second degree divides by a septum at right angles to the side walls. The septum which thereupon divides the outer of the newly formed cells into two, stands at right angles to the above septum, like the similar septum in Sphagnum ; on the other hand, the membrane which originates in the inner cell is at right angles to the median line of the young leaf (PI. XVIII, fig. 17, a). The two cells of the fourth degree belonging to the marginal cells of the leaf divide, at first, by a septum parallel to the margin of the leaf. The next septum, however, in both cells is at right angles to the margin of the leaf. The transverse division corre- sponding to this division is suppressed in the cells of the two rows adjoining the longitudinal axis of the leaf, in con- sequence of which these cells are double the length of the neighbouring cells (PI. XVIII, fig. 17). The leaf continues to widen by the further division of the cells of its margin, caused by septa parallel to the edge. Sometimes indi- vidual marginal cells are divided also by longitudinal septa. The formation of the pocket at the base of the leaf com- mences when the base of the leaf has attained a width of eight cells. At this time from five to eight of the lowest cells of that margin of the surface of the leaf which is turned towards the terminal bud become arched upwards to a con- siderable extent ; the protruded portions are then separated from the primary cell-cavities by means of septa parallel to the surface of the leaf. By this means a raised line origi- 144 H0FME1STER, ON nates, which is attached laterally to the margin of the leaf, and consists of a longitudinal row of cells. These expand downwards from the longitudinal axis of the leaf, and exactly keep pace with the further multiplication of the cells from which they sprang. As the increase in width of the leaf is much less at the base than close above it, it follows that in the perfect leaf the commissure of the two parallel cel- lular surfaces appears to be considerably inclined sideways, running obliquely from the margin of the leaf to the base of the mid-rib. By the peculiar development of the bases of the leaves, nature has more than sufficiently compensated the youngest portions of Eissidens for the deficient protec- tion which, owing to their mode of arrangement, the leaves would be able to afford. ^ When the young leaf of Eissidens has attained a length of J-'", the multiplication of the apical cell terminates. At this time the leaf retains the form which it had when in a younger state; it is less slender than Avhen more fully grown. The further multiplication of its cells is produced exclusively by the continual division of those of its lower portion. The great activity of this multiplication is shown from the simple statement that the number of the cells of the proportionally small point of attachment of the leaf, when reckoned transversely, amounts to thirty. The six longitudinal rows of cells adjoining the median line of the leaf of Eissidens become transformed into the mid-rib, by division produced by septa parallel to the sur- face of the leaf, and by the division of the newly formed cells by septa perpendicular to the surface of the leaf. The base of the mid-rib in the perfect leaf is immediately adja- cent to the duplication of the lower part of the margin of the leaf. The examination of half-developed leaves of mosses which are undergoing this process of cell-multiplication will afford one of the most convenient methods for the accurate inves- tigation of the process of cell-division and the formation of chlorophyll. The object is not large enough for the micro- scopes of the present day. I believe, however, that I have already made out some interesting peculiarities in Eissi- dens. In the cells close to the base of the leaf the nucleus, THE HIGHER CRYPTO GAMI A. 145 which has the appearance of a bright circle, is surrounded by an apparently homogeneous, pale greenish mucilage. The intensity of the green colour increases towards the apex. In cells which are about to divide, the formation of two nuclei, in the place of the primary one which has dis- appeared, precedes the formation of the transverse septum, as is the case generally in the higher plants ; but, besides this, the green mucilage divides into two globular masses, each of which surrounds one of the newly formed nuclei (PI. XVIII, fig. 18). Higher up, in cells whose multipli- cation has ended, the nucleus is no longer seen, but two large chlorophyll-bodies are found in the cell-cavity, in the interior of which bodies some starch-grains occur (PL XVIII, fig. 19). In the cells close to the apex of the leaf, whose walls have already become thick, the number of chlorophyll- bodies amounts to four, six, eight, or even more. The appearances which are seen during the formation of the chlorophyll-bodies in the leaves of Sphagnum and of Phas- cum cuspidatum are essentially the same as those observed in Fissidens. In leaves of Sphagnum where the division of the cells into three parts has extended as far as the base, and at whose apex the last active process (viz., the differen- tiation of the cells into those with, and those without, chlo- rophyll) has occurred, the cells of the base of the leaf are found to be quite filled with finely granular, yellowish green protoplasm, within which the nucleus appears in the form of a bright circle. Somewhat nearer to the apex of the leaf this protoplasm exhibits numbers of immeasurably small, dark-green particles, not individually distinguishable, by which the protoplasm is rendered turbid. Hitherto all the cells of the leaf develope themselves equally. Towards the apex, however, the coloured matter within the quadrate cells diminishes more and more until it disappears altogether, whilst in the oblong cells it appears suddenly conglomerated into one or two spheroidal masses or chlorophyll-bodies. Nearer still to the apex of the leaf the chlorophyll-bodies in the oblong cells increase in number and diminish in size ; this is manifestly caused, by the divi- sion of the existing bodies, inasmuch as some of them may 10 146 HOFMEISTER, ON occasionally be seen in the actual process of constriction (PL XVIII, fig. 4). The perfect chlorophyll-bodies are small ellipsoids, some- what flattened in the direction of the shorter axis, and having the snbstance of their periphery somewhat denser and more strongly coloured than that of their interior, so that they present a vesicular appearance. They usually contain one or more very small starch- granules. In young leaves of Phascum cu-qnclatum, also, the less deve- loped cells exhibit only one or two large chlorophyll-bodies ; in more fully developed cells they become continually more numerous and smaller. The perfect bodies have a vesicular appearance, and usually contain several starch- granules ; when the cell which surrounds them is ruptured, so that water is brought in contact with them, their entire mass swells up largely, running together ultimately into a shapeless jelly. The previously described process of the formation of the large chlorophyll-bodies of Anthoceros is similar to that here mentioned. From these facts I drew the conclusion* that in young cells the chlorophyll is colourless, inasmuch as the colouring matter is dispersed throughout the muci- laginous cell-contents in the form of immeasurably small particles. As the development of the cell proceeds, the coloured portions unite to form globular drops, which are capable of multiplying themselves by division. This opi- nion was opposed to that of Nageli (' Zeitschr. f. wissensch. Bot.,' H. 3 & 4, Zurich, 1846, 111), who assumes that the chlorophyll-bodies originate in the form of small, coloured granules, which gradually increase in size : it was, however, in accordance with Nageli's view to the extent of assuming a vesicular structure in the chlorophyll-bodies, and it con- firmed the fact, first pointed out by Nageli, of the division of the latter bodies. The idea of a vesicular structure in the chlorophyll-bodies was opposed by H. v. Mohl, who relied upon certain appearances exhibited by those bodies when distended with water (< Bot. Zeit./ 1855, 107, 109) ; but v. Mohl also, having eventually modified an earlier opi- nion, came to the conclusion that, however chlorophyll may * ' Vergleicliende Uiitersuchuugen/ Lpz., 1851, p. 10. THE HIGHER CRYPTOGAMIA. 147 be formed, nothing more seems necessary for its production than that green colouring matter should be formed in a cell, and should enter into combination Avith a mass of pro- teine substance. The investigations of Arthur Gris (' Ann. des Sc. Nat.,' iv ser., t. vii, p. 79), and of Sachs (' Sitzungs- berichte Wiener Akademie,' xxxvii, (1859,) p. 108), have since shown that even in higher plants the chlorophyll- granules are formed by the disruption of a sharply-defined mass of protoplasm, often of no determinate shape, the green colour of which in certain cases becomes apparent before the disruption, in others during that process, and in others again after the disruption, and which mass of proto- plasm is usually agglomerated round the nucleus. The development of the leaves of mosses has lately been a matter of discussion. Nageli asserted that the leaf grows exclusively at the apex and the edge. (c Zeitschr. fur wiss., Bot.' ii, 175). Schleiden, on the other hand (Grundziige, 3 Aufl), advanced a diametrically opposite opinion. According to him the leaf is pushed forwards by the multiplication of cells lying inside the circumference of the stem ; the apex of the leaf being the oldest, and its base the youngest portion. With regard to the moss which Schleiden examined, viz., Sphagnum, this is abso- lutely incorrect ; with regard to the leaves of liverworts and phcenogams it is only true in part, and to a very limited extent. Both observers have generalised too ex- tensively from the results they have obtained in their investigations of mosses, although INageli subsequently limited his too vague conclusions, by acknowledging the frequent occurrence of intercalary cell-multiplication,* a very manifest fact long previously pointed out by Grisebach (' Wiegm. Arch.' 1846, p. 1). I have before attempted to show that, with regard to mosses, the truth lies between the two opinions. The first rudiment of the leaf is formed from an outwardly-protruding cell of the circum- ference of the terminal bud, by means of continually repeated division of the apical portion. In this rudiment * Nageli called this " accidental cell-formation ," an expression (lie incorrect- ness of which he subsequently acknowledged, 'Prlanzen physiol. Unters.,' i, p. S3. 148 HOFMEISTER, ON of the leaf, which in Polytrichum, for instance, attains a length of twenty-four cells, the apex is the youngest, the base the oldest portion. In most cases the cells of the base of the leaf-rudiment multiply actively, by which means the leaf acquires its ultimate number of cells. Then the cells of the base of the leaf are relatively younger than those of the apex. The naked ends of those branches which are destined to bear fruit change the conical form of the vege- tative bud into a flattened hemispherical one. Many of the cells of its upper surface grow out into short papilla) (PI. XIX, fig. 1). Each of them divides by a septum inclined to the horizon ; the upper one of the newly formed cells divides by a septum perpendicular to that already formed and inclined in an opposite direction. In the terminal cell of the cellular body, which makes its appearance above the surface of the bud, the divi- sion is continually repeated by septa inclined in dif- ferent directions (PI. XIX, fig. 1 ; PL XX, fig. 1). The cells of the second degree, except some of the lower, oldest (from two to six in number) cells, divide soon after their formation by radial vertical septa. Thus, in a short time, there is formed in the space surrounded by the youngest leaves, a number of short, cylindrical, cellular bodies, composed of four vertical rows of cells, intermixed, in many of the mosses, with long multi-cellular hairs, which have originated in the division by transverse septa of certain of the papillate superficial cells of the bud. These clavato- cylindrical masses of cells are the first rudiments of the archegonia as well as of the antheridia. When the young archegonium has attained a height of from six to eight cells, all the cells belonging to one of the four perpendicular rows of cells of which (irrespective of the base and the growing apex) it consists, divide by septa parallel to the chord of the arc of the free, arched, outer wall, and cutting the side walls of the cell at an angle of about 45°, by which means the mother-cell is divided into an outer four-sided, and an inner three-sided cell. Each one of the newly-formed cells of the third degree (which form the continuation upwards of the string of diagonally- THE HIGHER CRYPTOGAMIA. 149 divided cells) divides in the same manner immediately after its formation, such division being, in most instances exactly contemporaneous with the next division of the apical cell, very seldom somewhat later, often earlier (PL XX, figs. 2, 3). The archegonium now consists of a central string of cells, which is surrounded by from four to six longitudinal rows of cells. There are far more frequently six rows, in consequence of the division of two of the original four, by radial longitudinal septa (PI. XX, fig. 7). The arche- gonium resembles, therefore, in its development, as well as in its structure, the like organ in the liverworts. One of the cells of the central string swells to a remarkable extent, especially in width, whilst the upper end of the archegonium continues to grow. This cell, however, is never so near to the base of the archegonium, as in the liverworts ; amongst the mosses which I have examined it lies lowest in Phascum and Archidium, where it is the third, fourth, or fifth, reckoned from below (PL XX, fig. 2 ; PL XXIII, fig. 13). Soon after it begins to swell the cells underneath it divide by transverse, and partly by longitudinal septa, whereby they expand only in length, not in breadth. This cell-multiplication is more active close under the swollen cell, than at the base of the arche- gonium. In Phascum those cells which surround the sides of the swollen cell divide, in the first instance, only by transverse septa and by longitudinal septa perpendicular to the outer surfaces (PI. XX, fig. 4) ; the division of the above cells, by longitudinal septa, parallel to the axis of the organ, commences at a somewhat later period (PL XX, fig. 5). In other genera, as for instance, Funaria, Fissi- dens, Dicranum, and Polytrichum, the cells which cover the central cell of the ventral portion of the archegonium, are already divided by longitudinal septa parallel to the outer surface, long before the bursting of the apex of the archegonium ; and this occurs particularly early in Sphag- num (PL XV 111, fig. 14), where, even before the opening of the top of the archegonium, this division is repeated in the inner as well as in the outer cells (PL XVIII, fig. 15). In this genus, consequently, the ventral portion of the archegonium is larger than in any other moss. 150 HOFME1STER, ON By these processes the lower portion of the archegonium becomes a pear-shaped cellular mass, which, at the point where it passes into the upper cylindrical portion (the neck) of the archegonium, surrounds the enlarged cell of the cen- tral string. In most instances the cell of the central string lying immediately above the enlarged cell, exhibits a con- siderable increase of its dimensions (PI. XIX, fig. 5 ; PL XX, fig. 4) ; this is especially remarkable in Sphagnum (PL XVIII, fig. 15). Like all the cells of mosses the enlarged cell in question exhibits, from its first appearance, a manifest nucleus. In the very young archegonium the nucleus lies free in the mid- dle of the cell, surrounded on all sides by protoplasm of uniform density (PL XVIII, fig. 14 ; PL XX, figs. 2, 4) ; at a later period, after the separation of the contents of the cell into two parts, — viz., the thick coating of the wall, and the less dense fluid contents of the median cavity, — the nucleus lies close to the side wall of the cell, surrounded by a thick accumidation of granular protoplasm, which sends forth radiate prolongations over the inner surface of the cell (PL XIX, figs. 5, 6). At this time there is seen under- neath the primary nucleus of the cell, which is still very distinct, a small daughter-cell, occupying about an eighth part of the cell cavity, and having highly refractive con- tents, and a bright nucleus without nucleoli (PL XIX, figs. 5, 6). Contemporaneously with the appearance of this cell, the transverse septa, by which the separate cells of the axile longitudinal string of cells forming the neck of the archegonium are divided from one another, begin to dissolve. Even before these transverse septa have altogether disappeared, even before the dissolution of the transverse septa of the lowest of the cells of the axile string, and therefore before the formation of the canal which traverses the neck of the archegonium longitudinally, the central cell is found to be almost filled by a free spherical cell, which is either suspended freely, or touches the wall of the mother-cell on one side, and which contains a globular central nucleus (PL XVIII, fig. 15; PL XIX, figs. 7, 8, 20; PL XX, figs. 5, 6, 8). The primary nucleus of the cell is no longer present. These circum- stances must lead to the conclusion, that the germinal THE HIGHER CRYPTOGAMIA. 151 vesicle (i. c, the small free daughter-cell of the central cell of the archegonium), grows with extraordinary rapidity, and displaces the dissolving primary nucleus of the central cell. In F/inaria hyyrovietrica the ripe germinal vesicle is usually in close proximity to the transverse septum, which, even after the canal of the neck is fully formed, and some- times even after the apex has opened, still shuts on the central cell of the archegonium (PI. XIX, fig. 8). It often happens, however, in Funaria, in Phascum, and in Liver- worts, that the germinal vesicle rests upon the bottom of the central cell (PI. XIX, fig. 7 ; PL XX, fig. 9), or that it lies against one of the side-walls of the latter (PI. XX, figs. 5, 6, 8).* After the termination of the longitudinal growth, the cells of the apex of the archegonium divide by radial septa which are partly vertical and partly inclined sideways ; and to some extent also by transverse septa. In many genera, such as Polytrichum and Sphagnum (PI. XVIII, fig. 15), the new cells thus formed expand in a radiate manner, in con- sequence of which the apex of the archegonium appears strongly clavate. In the mean time, the walls of the string of cells which traverses the neck of the archegonium dis- solve. The dissolution progresses from above downwards. Thus there originates in the axis of the neck a canal, con- taining only mucilaginous fluid, which leads to the large cell in the upper end of the ventral portion. Suddenly the cells of the apex separate from one another, and bend them- selves backwards in the form of irregular flaps ; in this state they form the so-called stigma (PL XX, figs. 6, 9, 13). The archegonium is now in the condition in which I con- sider it to be ready for impregnation. After the rupture of the apex of the archegonium, the mucilage which fills the canal of its neck not unfrequently oozes out of the opening, protruding above the funnel-shaped mouth in a hemisphe- * The rapid disappearance of the primary nucleus of the central cell, and the agreement with it in size and form of the nucleus of the germinal vesicle, led me at first to the conclusion (' Vergl. Unters.,' p. 67) that the germinal vesicle might originate by free cell-formation round the primary nucleus of the central cell. The mode of its development, as given above, was first arrived at by me in 1S54 ('Berichte Kon. Sachs. Ges. d. Wissensch. Math. Phys. CI.,' 1854, p. 95). 152 HOFMEISTER, ON rical form. Afterwards it is often agglomerated into glo- bular masses, — some small and some large, — of transparent hyaline matter, as is the case in the Jungermanniae. These processes may be seen especially clearly in Archidiam phascoides (PL XXIII, figs. 1—3). The product of the dissolution of the transverse septa of the string of cells which traverses the longitudinal axis of the neck of the archegonium frequently consists, in mosses, of a vermiform mass of highly refractive, hyaline, transpa- rent mucilage (PI. XIX, fig. 8). It seems that the forma- tion of this string of mucilage is favoured by dryness of habitat. I seldom failed to find it in plants of Funaria kyr/rometrica which had grown in dry places. It is much less often found in plants taken from moist situations. In Phascum ctisjnclafum, a part of the contents of the wide axile string of cells lying immediately over the central cell of the archegonium very often assumes the form of an irre- gularly-shaped heap of coarse granules (PL XX, figs. 5, 8). The first stages of development of the antheridia of mosses entirely correspond, as has been already stated, with those of the archegonia. A clavate mass of cellular tissue protrudes in a precisely similar manner above the upper surface of the end of the stein, consisting, — with the exception of the continually multiplying terminal cell and the cells of the base, — of four vertical rows of cells : in an almost precisely similar manner, a string of cells traversing the axis of the organ is formed by the division of the cells of one of the above rows; this occurs in the species of Phascum, Gymnostomum, Bryum, Eucalypta, and Funaria (PL XIX, figs. 1, 2, 3). In other cases diagonal septa ori- ginate in each of the four rows of cells, after which radial septa are formed in the outer ones of the new cells ; by this means the antheridium becomes much more massive. This is the case in Polytrichum. The inner cells of the young antheridium multiply very actively in all three directions (PL XIX, fig. 4). The cells of the upper surface divide only by septa perpendicular to the outer walls, and much less frequently than the inner cells. The antheridium thus becomes a clavate sac, con- sisting of a single layer of cells, which encloses an elongated THE HIGHER CRYPTOGAMIA. 153 ellipsoid group of very small cellules adhering firmly to one another. In each of the latter, a spiral thread, consisting of nitrogenous matter which is coloured brown by iodine, is produced inside a lenticular vesicle which lies free in the interior (PL XX, fig. 16). The tabular cells of the walls of the antheridium contain chlorophyll, and in the young state a flat lenticular nucleus also, whose major axis is parallel to the outer surface of the cell (PI. XIX, fig. 4). When the antheridium approaches maturity, the colour of the chlorophyll-granules in many mosses becomes a yellowish-red. This is the case in Funaria hygrometrica, Brgum ctsspiticium, Polytrichum juniperinum, Gymnostomum pyriforme, and Nechera complanata. The antheridia are usually intermixed with jointed hairs, the so-called paraphyses, whose terminal cells are often (as is the case in Mnium hornum and Funaria hygrometrica) swollen to a clavate form, and in Polytrichum produce a lancet-shaped expansion at the apex, originating from con- tinual cell-division by means of differently inclined septa. The fully-ripe antheridium opens at the apex, and permits the escape of the small, enclosed cells, which contain the spermatozoa. The process is very easily seen in water on the stage of the microscope ; and that the same thing takes place in nature, appears from the fact, that in every rich male inflorescence in mosses, empty antheridia, open at the apex, are found in company with ripening and ripe antheridia. The bursting of the apex of the ripe antheridium of Funaria hygrometrica occurs thus : — the apical cell, and the youngest cell of the second degree, which is separated from the latter by a steep septum, exhibit a considerable enlargement of their outer wall, which expands in a vesicular manner ; but the red colouring corpuscles of the cell contents, (whose interior is now usually occupied by a starch granule) do not enter into the expanded space. Careful investigation shows that the cuticle only of the cells of the apex of the antheridium is forced outwards,* and that the cavity between it and the firm membrane * See Unger's figure of an antheridium of Polytrichum in the act of bursting of cells in the neck of the archegonia of liverworts and mosses. This formation of axile cells frequently does not extend throughout the whole length of the organ. It is sometimes suppressed in the cells immediately adjoining the embryo-sac (PL XXV, fig. 5). More rarely it occurs only in the latter cells, in which case the upper part of the neck of the archegonia consists of four, and its lower part of five rows of cells. Immediately after the formation of the axile string, the contents of the cells are found to be of a grumous nature, and the trans- verse septa which separate the individual cells are soft and gelatinous. When treated with a solution of glycerine, or with any substance which abstracts water, the cells become contracted, and form granular mucilaginous matter, some- times in separate spherical lumps, sometimes in the shape of a single vermiform body (PL XXV, fig. 8). I attribute the formation of the similar masses which occur in the canals of the necks of archegonia which are approaching maturity, to a similar transformation of the axile string during the further normal development of the archegonia (PL XXV, fig. 11). Quite as often however, or even oftener, the formation of an axile row of cells in the neck of the archegonium is suppressed. Both forms of archegonia occur upon pro- thallia of the same species, and even upon one and the same prothallium. The one form is as common as the other in Pteris semdata and Ceratopteris thcdictroides. In Aspi- 192 HOl'MEISTER, ON chum filias-mas and Gymriogramma ccdomelanos the first- mentioned form is more frequent. This form answers to the structure of the archegonia in liverworts and mosses, the other corresponds with that of the archegonia of the Equisetacese, Rhizocarpese, and Lycopodiaceas. Ferns con- stitute the intermediate link between these groups, so far as regards the organization of the female reproductive apparatus. During the longitudinal development of the neck of the archegonium it bends backwards from the indentation of the fore edge of the prothallium. The amount of curva- ture varies slightly in the archegonia of the same pro- thallium. The archegonia of prothallia which bear those organs on both sides are bent in the same direction, those of the upper surface being usually more curved than those of the lower surface. The curvature is very considerable in the necks of the archegonia of those prothallia which are not close to the earth, but which (in consequence of their growing in masses) have become diverted obliquely upwards. Thus it would seem that the curvature of the necks of arche°;onia affords another instance of negative heliotropismus, i. e., of the turning away of an organ from the rays of light. The number of archegonia is far less than that of the antheridia. On normally developed prothallia which con- tain an embryonal rudiment, there are seldom more than eight. The development of the archegonia commences close behind the indentation of the fore edge of the pro- thallium, and progresses from thence both forwards and sideways during the continuance of the growth of the prothallium. In some prothallia, when growing under a sufficient exposure to light, the rudimentary cells of the archegonia are always on the under surface of the prothallium. Pro- thallia however of the most different species, when growing- erect in closely packed tufts, or in places where few rays of light penetrate, develope archegonia on both surfaces. On the upper surface, which is usually distinguishable by the paucity or absence of rootlets, the archegonia are usually mixed with antheridia. It is evident that shade is THE HIGHER CRYPTOGAMIA. 193 favorable to the production of sexual organs as well as of roots. In Ceratopteris thalictroides, the antheridia of which are abnormal in position and structure, prothallia occur having numerous cushion-like masses of tissue in which archegonia are produced, each one of such cushions being situated behind one of the numerous indentations of the edge of the prothallium. At an early period, even before the complete formation of the neck, a secondary free nucleus appears in the upper part of the central cell of the archegonium. The large primary nucleus of the central cell is still present. The secondary nucleus is soon seen to be surrounded by a free spherical cell, in close proximity with the internal surface of the apex of the central cell (PI. XXV, figs. 5 — 9). This is the germinal vesicle. When it first appears its diameter is only about one sixth of that of the central cell, but, even before the bursting of the apex of the archegonium, it grows, to almost one half the size of its mother-cell. For some time after its appearance the primary nucleus of the central cell remains unchanged (PL XXV, figs. 3, 5, 8) : at a later period it disappears ; this takes place before the opening of the apex of the neck of the archegonium (PI. XXV, figs. 4, 7, 11). The cells of the inner tissue of the prothallium which arc adjacent to the central cell of the archegonium, di- vide repeatedly by septa at right angles to the bounding surfaces, and by this means are converted into a kind of epithelial layer, consisting of narrow cells containing a quantity of finely granular protoplasm (PL XXV, figs. 3, 5, 11). The period of the commencement, and the in- tensity of this multiplication, are very different in indivi- dual instances. (Compare PL XXV, fig. 3, with PL XXV, figs. 4, 7.) . During the formation of the germinal vesicle a wide canal leading to the embryo-sac is formed in the longi- tudinal axis of the neck of the archegonium. The apex of the neck of the archegonium remains firmly closed during the development of this canal. In most cases during the progress of this development, the cells of the 194 HOIMEISTER, ON arch of the apex of the archegonium multiply by division which takes place by means of septa at right angles to the outer surfaces. This process is especially remarkable in Gymnogramma calomelanos (PI. XXV, fig. 7). Where the neck of the archegonium consists of only four longitudinal rows of cells the axile canal is manifestly formed by the parting asunder of the angles of contact of the latter cells. The membranes of the cells grow in the direction of tan- gents to the cylindrical organ : thus an intercellular space originates between them, which is often of considerable width. The process commences underneath the arch of the apex of the archegonium and proceeds from thence to its base (PL XXV, fig. 4). When the neck of the archegonium is traversed by an axile string of cells the canal can only be produced by the dissolution of the transverse septa of these cells. In this case also the dissolution is preceded by an increase in growth of the peripheral cells in a tangential direction, which is especially remarkable at the apex of the neck of the archegonium, so that the axile string of cells assumes a clavate form (PI. XXV, figs. 5, 7). Within the canal of the neck of the archegonium, whilst the latter is still closed at the apex, there is sometimes (but by no means always) to be found an elongated vermiform body, of a finely granular, tough, gelatinous consistence, club-shaped at the upper, and tapering towards the lower end. At other times there may be seen several similar bodies within the canal, of which the uppermost are usually elongated, and the lower ones spherical. The re- verse is however sometimes the case, the lower bodies being sometimes longer than the upper ones (PL XXV, figs. 7, 11). These bodies are very probably nothing more than the altered contents of the cells of the axile string of the neck of the archegonium, which upon the dissolution of the transverse septa run together more or less completely into one mass. The elongated clavate form of the upper of these bodies (a form which is of frequent occurrence when several of such bodies are present) probably results from the fact that in this case also the formation of the canal of the neck, the dissolution of the transverse septa of the axile row of cells, and consequently also the flowing together of THE HIGHER CRYPTOGAMIA. 195 the contents of these cells, proceed from above downwards ; the process taking place rapidly at first, and afterwards more slowly. After the formation of the canal of the neck, and whilst the apex of the archegoninm is still closed, the walls of the cells of the peripheral layer become arched inwards to a considerable extent, and protrude into the canal : a mani- fest proof that these cells, being in a state of active expan- sion, exert a great pressure upon, and displace the fluid contents of the canal. Ultimately the cells of the apex part asunder, by which means a portion of the mucilaginous fluid contained in the canal usually escapes through the opening. By this means individual cells are not unfre- quently detached and thrust off (PL XXV, fig. 12). The canal is now open externally, and exhibits an uninterrupted communication from without inwards, up to the central cell of the archegonium. The membrane of the arch of the apex of the latter has in the mean time become softened. A gentle pressure upon the covering glass not only forces the mucilage of the canal out of the mouth of the latter, but a portion also of the contents of the embryo-sac is gradually driven into, and through the canal. The motion however is not so sudden as in the case where the contents of a cell escape through a fissure produced by the bursting under pressure of an elas- tic membrane. In one case I observed that one of the bodies in the canal had made its way into the central cell ; a circumstance which proves clearly the exposed nature of the embryo-sac (PI. XXV, fig. II). The membrane of the germinal vesicle on the other hand, even before the burst- ing of the archegonium, is somewhat firmer. It is clearly seen, when an embryo-sac and the germinal vesicle within it are injured in making a section, that the membrane exhibits folds (PI. XXV, tig. 9). Most archegonia are not developed any further. The cell-walls which adjoin the canal, as well as the large cell at the base of the archegonium, assume the purplish-brown colour, which is peculiar to the fading cell-membranes of almost all the higher cryptogams. This is the fate not 196 HOFMEISTEll, UN only of all except one- of the archegonia of the same prothal- lium, but by far the greater number of prothallia are en- tirely abortive, and produce no young plant. It is not too much to say that hardly one prothallium in ten produces a frond-bearing plant. Prothallia which are devoid of embryos, do not, however, by any means die ; when they are not deprived of the conditions essential to their vitality, that is to say, moderate warmth, subdued light, and abundant moisture, they continue to develope themselves for several months. In the simplest case the side lobes of the prothalliuiii increase very considerably in size ; they overlap one another to a great extent in front of the inden- tation of the fore edge. The prothallium when growing exuberantly becomes circular ; it attains a diameter which is from four to six times larger than that of the prothallia of the same species which have produced young plants. This is the regular rule in abortive prothallia of Gymnog- ramma chrysophylla and others. The cushion of the uneler- surface grows at the same time in thickness and in length. The latter growth is produced by repeated division of the cells which adjoin the bottom of the slit of the fore edge, and which division takes place by means of septa at right angles to the upper surface of the prothalliuiii. At the same time a number (often a very great number) of archegonia are usually produced upon the prominent cushion of lieshy cellular tissue on the under side of the prothallium. These archegonia, with the rarest exceptions, are all abortive, probably in consequence of the fact that no more new antheridia are produced upon the hinder, oldest portions, of the same prothallium . The earliest of these archegonia have the same form as those which are produced contem- poraneously with the latest antheridia. The later ones, however, either develope a rudimentary neck only, or no neck at all. The large central cell and the canal filled with mucilage which leads to it appear to be sunk into the under side of the prothallium (PI. XXVIII, fig. 2). The obser- * With the rarest exceptions, such as the case of Ceratopteris thalidroides, observed by Mercklin {' Beobachtungen au Prothallium der Farrnkr.' Peters- burg, 1850) and Pleris aquilina and Aspidium filix-mas observed by myself. THE HIGHER CRYPTOGAMIA. 197 vation of such archegonia, and (lie comparison of them with those placed farther backwards and having perfect necks, seems to have led Lesczyc-Smninski, and after him Merck- lin, to the erroneous conclusion, that the archegonium in its earliest youth was a short canal opening upon the under side of the prothallium, and that the neck was formed by repeated division, in a direction parallel to the surface of the prothallium, of the cells surrounding the mouth of that canal. The abortive prothallia of Nothochlsena, Allosurus, and Gymnogramma calomelanos often exhibit shoots. The ar- rangement of the cells of the prothallium of ferns generally resembles that of the leaf-like shoots of Pellia, Riccia, and Marchantia. It might be supposed from this that a new shoot would originate at the bottom of the notch of the fore edo-e, and that new shoots again would arise in the axils which the last-mentioned shoot would form with the side wings of the fore edge. This, however, is rarely the case (PI. XVIII, ng.li). Usually several of the cells of the edge of the prothallium grow into adventitious shoots, which generally have the shape of a large spatula. The activity of the multiplication of their cells breadthwise is ex- ceedingly various. Very slender adventitious shoots witli unicellular bases often become detached from their prothallia at an early period by the death and disso- lution of the cells attached to them. They then represent independent, very small prothallia (PI. XXIV, fig. 4), and often bear very numerous antheridia. The development of a very great number of antheridia is an especial peculiarity which often occurs in the shoots of the prothallia of ferns. They are either entirely barren, or if antheridia are found, the latter are in great multitudes and closely pressed together, there being often as many as a hundred upon one shoot. I have never seen archegonia upon one of these shoots ; they certainly have a tendency to produce only male organs of fructification. Old abortive prothallia of Gymnogramma chrysopliylla often exhibit a very remarkable appearance in winter. Near the hinder end several small oval knots of cellular tissue are formed ; little knots varying from the size of a millet- seed to that of a pea, and consisting of narrow cells filled 198 H0FME1STER, ON with starch and oil-drops (PL XXVI, fig. 3p.) In the earlier stages these knots are whitish or yellowish in colour ; afterwards their outer side becomes brownish by the forma- tion of from two to three layers of cork- cells. Perhaps these wonderful organs are gemmae, destined to reproduce the proth allium. It may be considered as beyond question that the pene- tration of a spermatozoon into the open canal of the neck of the archegonium is necessary in order that the spherical cell within the central cell may be further developed, so as to become a frond-bearing plant. Under ordinary circum- stances the spermatozoa have the means afforded them of swimming to the opening of the archegonium. Whenever a dew occurs, numerous drops of water are found on the under side of the parenchymatal cushion of the prothal- lium. The flat space between the prothallium and the ground is often filled with water. Under such circum- stances, as the ground becomes gradually drier, air-bubbles are formed under the prothallium, and their presence is shown by the silvery-green glimmer which is exhibited by the tissue above them. The spermatozoa enter the canal, pass through it, and ultimately reach the interior of the central cell, piercing through the softened membrane of the apex of the latter. Here they move about for some time, sporting actively around the germinal vesicle, which is in close proximity to the inner wall of the central cell near the place of entry of the spermatozoa,* Immediately after the arrival of sperma- tozoa in the embryo-sac the interior of the mouth of the canal is closed by the transverse expansion of its bounding * I repeat here, with some additions, the course of observations upon which the above statements are founded, an account of which I have already given in the ' Reports of the Royal Scientific Society of Saxony.' "When a quantity of fern-spores are sown, the germinating prothallia are developed at very different periods. The earliest prothallia produce in the first instance only antheridia, afterwards antheridia and archegonia together, and when advanced in age, only archegonia. The earliest prothallia have already attained the latter stage at the time when the later prothallia, the development of which has been retarded by the shade afforded by the earlier ones, are thickly covered with antheridia. If the plants are now kept for some days rather dry, and then saturated with water, the result will be that numbers of antheridia will emit spermatozoa, and numbers of archegonia will open contem- poraneously. The water should not be poured over the plants, but the pot should be placed in water nearly up to its margin, by which means capillary THE HIGHER CRYPTOGAMIA. 199 cells. This process is the first visible effect of impregna- tion ; in abortive archegonia the canal remains open. Tn the latter the Avails of the canal throughout, and also those of the central cell, assume a deep brown colour. In im- pregnated archegonia this colour only extends downwards over that part of the canal which is not closed. Immedi- ately after the closing of the lower end of the canal, and during the progress of active multiplication in the cells adjoining the embryo-sac, the impregnated germinal vesicle attains the size of the sac. Even before it arrives at this stage two secondary nuclei usually appear in its interior in the place of the primary one which has disappeared (PI. XXVI, fig. 5). The first septum by which the germinal vesicle is divided, is not however formed until the latter has entirely filled the embryo-sac. This septum stands at right angles to the longitudinal axis of the prothallium, and almost perpendicular to its surface. It diverges from a perpendicular erected upon that surface, downwards and forwards towards the indentation of the prothallium {a, b in PL XXVIII, figs. l\ 35; PL XXVII, figs. 6 ', 7 »). Soon afterwards an oblique septum is formed in each of the two cells into which the germinal vesicle is divided ; attraction and condensation will yield abundance of moisture to the prothallia. After one or two hours the surfaces of the larger prothallia, which are covered with archegonia, are found almost covered with spermatozoa, partly in motion and partly at rest. If a delicate longitudinal section through the parenchyma of these prothallia- be examined immediately, with a magnifying power of from 200 to 300 diameters, spermatozoa are sometimes found in all the archegonia along the whole length of the section. I thus found three spermatozoon in active motion in the central cell of the archegonium of Aspiclium filix-mas. In this case the motion ceased seven minutes after the commencement of the observation, and was accompanied (probably caused) by the coagulation of the albuminous matter of the cell-contents. In the same fern on two occasions, and also in Gymnogramma calomelaiws and Pteris aquilina, I have seen a spermatozoon in motion in the central cell of the archegonium ; and in the above-mentioned species, and also in Asplenium septeririonale, and filix-femina, I have seen a motionless body near the germinal vesicle (after the growth of the latter has commenced) answering in form to a spermatozoon. Lastly, in Aspiclium filix- mas and Pteris aquilina, I have often seen motile spermatozoa in the canal of the opened archegonia, the motion of which spermatozoa ceased during the continuance of my observation. I may add that these observations were very numerous, and were undertaken with the view of following out the cell development of the embryo. In a single prothallium, cultivated in the manner stated above, and laid open longitudinally as I have mentioned, there will not be found more than three, or at the most, four archegonia open at the apex ; spermatozoa will probably be found in not more than one in thirty of such archegonia, and they will often not be found at all. 200 HOFMEISTER, ON the septum in the hinder cell is inclined downwards and backwards, that in the front cell upwards and forwards. The young embryo now consists of four cells, having the form of segments of a sphere, which fall into a vertical plane passing through the longitudinal axis of the pro- thallium (PI. XXVIII, fig. 1). Pteris aquilina and Aspidium filix-mass exhibit a specific difference in the angles of incli- nation of the newly-formed septa. The upper angle which the newly-formed septum in the front cell forms with the older one (PI. XXVI, figs. 6 *, 7 *, b, c) is widely open in Aspidium jUix-mas ; it is almost a right angle; the lower angle of the septum in the hinder cell is very acute (PI. XXVI, figs. 6 *, 7 *, a, d). In Pteris aquilina this state of things is exactly reversed (PI. XXVIII, figs. 1 h, 3 h, a, d, b, c). In connexion with this difference there exists also a difference in the further development. In both species the stem-bud and the first frond are formed out of one of the four cells, viz., the lower one of the two front cells (PL XXVIII, figs. 1, 3, a.c; PI. XXVI, figs. 6, 7, a.c), and the first root is produced from another of those four cells. But in Aspidium filise-mas the mother-cell of the root (6,d PL XXVI, figs. 6, 7) lies opposite to that of the stem ; in Pteris aquilina it lies at the side (a,d PL XXVIII, figs. 1, 3). In Aspidium the primary abortive axis of the embryo,* is developed almost ex- clusively by continual divisions of that one of the four cells which is most distant from the mouth of the archego- nium. In Pteris the descendants of the two cells which are furthest from the archegonium compose this organ, which in that genus is much larger (PL XXVIII, fig" 3). The fourth cell of the young embrvo which lies under the mouth of the archegonium multiplies still further in Aspi- dium, although only to a slight extent. Its derivative cells do not form a detached portion of the germ-plant, but go to form the cortical portion between the back of the first frond and the first root (PL XXVI, fig. 7). All the vascular cryptograms in which the germination * The foot-like appendage by which the young fern is attached to the pro- thallium. Only a few of the cells of the rudiment of the root take part in the formation of this "foot" (PI. XXVI, fig. 7). THE HIGHER CRYPTOGAMIA. 201 lias been observed exhibit the same arrangement of the first four cells of the embryo. This arrangement exists in the Rhizocarpeas, the Equisetacese, and in Isoetes ; and the position of the first cells of the rudiment of the germ-plant at the lower end of the suspensor of Selaginella, is the same. In these cases the primary leafless axis is formed principally by the multiplication of the lowest of the four cells ; of that one namely which is turned away from the. mouth of the archegonium. One of the side cells produces the primary indefinite axis of the plant. A third cell forms the first root, if the embryo produces such an organ. Sal- vinia is well known to be generally rootless ; Selaginella does not send out the first root until after the first bifurca- tion of the stem. In this prevailing fact there is such a marked difference between the vascular cryptograms and monocotyledons, that the remarkable similarity between the germ-plants of the Naiadeae and the grasses, and those of the vascular cryptograms (especially such of the latter as have a prothallium devoid of chlorophyll) upon which similarity I once attempted to ground a comparison of the organs of the two families, appears to be an unessential external resemblance. The multiplication of the primary cell of the lateral principal shoot considerably exceeds that of the mother- cell of the primary axis. The same thing prevails although in a less degree in the primary cell of the first root. Both divide by means of septa inclined in different directions, and, it would seem, in a manner similar to that in which in the more advanced plant, the multiplication of the cells of the first degree takes place. I recognised the triangular form, when seen from above, of the apical cell of the principal shoot in Aspi- diumfilias-mas, and the two edged form of the same cell, when viewed in a similar manner, of Pterls aquilina, after about three divisions had taken place in each of them. Even after the first round of divisions the stem- cell of the first degree ceases to multiply further : * a proportionally more rapid sequence of divisions begins in * See the explanation to PI. XXVIII, fig. 3 \ and PL XXVII, figs. 6», 7". 202 HOFMEISTER, ON the cell of the second degree, contiguous to the mouth of the archegonium, which has been cut off from the stem-cell. This cell of the second degree is the primary cell of the frond. That moiety of the primary cell of the principal shoot which adjoins the first cell of the primary abortive axis is considered to be a cell of the first degree, the principal rea- son for which is, that at a later period, and when the germ- plant is more developed, the cell in question appears as the apical cell of the stem. It would be a simpler mode of settling the rank of the cells, if that cell were con- sidered to be of the first degree, in which the successive divisions take place, not only at the earliest period, but in the primary direction*; and according to this method there would be no doubt that the primary cell of the stem, consi- dered in relation to that of the frond, must be looked upon b as a cell of the second degree ; an opinion which might be made use of in support of the theory of the origin of the fern-stem from the amalgamation of the stalks of the fronds.* As, however, there are but few plants which ex- hibit so manifest a terminal bud (around and under which the appendicular organs take their rise), as the ferns do when they have attained some growth, it follows that here, as in the similar instances of monocotyledonous embryos, it is necessary in forming an opinion as to the rank of the cells, to have regard to the condition of the plant at a period subsequent to the formation of the cells in question. In the two species immediately under consideration, the cell-succession in the first frond agrees substantially with that in the later ones, but at the same time it differs consi- derably. The surface of the first frond is, however, in its inception, parallel to that of the prothallium, as is the case in all the Polypodiacese which have been hitherto ob- served. The primary cell of the root divides in the first instance by septa turned towards the neighbouring cells ; the division takes place twice by means of opposite septa (concave * Considerations of this nature may have led Nageli to deny that ferns have leafy stems (' Zeitschrift fur wiss. Botanik,' Heft 3 and 4, p. 148) ; Han- stem's notion of the fern-stem also rests upon this foundation ('LinuEea/ 1848). THE HIGHER CRYPTOGAMIA. 203 to one another in JPteris aquiima), so that the cell retains its original two-edged form ; and three times by means of flat septa diverging from one another at angles of 60°, so that the cell assumes the shape of a three-sided pyramid with an arched under surface (Pl.XXVl,fig. 6). In both cases a septum is now formed parallel to the chord of the outer arc (PL XXVIII, fig. 1 ; PL XXVI, fig. 7). The flat cell cut off by this latter septum is the first rudiment of the root- cap, whose outermost, hood-shaped, cellular layer is formed by the multiplication of this cell. Henceforth the root- cell of the first degree lies surrounded by cellular tissue. Its further increase arises from repeated divisions occurring in the same succession. > Judging from its position, the first root of the young fern is adventitious, differing in no respect from the later adventitious roots of the full-grown plant. This view of the nature of the first root of the vascular cryptogams in general (a view which I expressed many years since*), has lately been objected to by Wigand. His first objec- tion (an unfounded one) rests principally upon a con- jecture that the foot-shaped portion of the germ-plant, that which I have called the primary axis, not only amalgamates with the prothallium, but is probabh/ prolonged backwards so as to form the root. Wigand adds, " I consider that the enlargement of the lower part of the germ-plant is of a different nature ; I look upon it as the undoubted rudi- ment of the first main root; it does not break through after the manner of an adventitious root." A few words of explanation are requisite as to the distinction be- tween main roots and adventitious roots in general. Our conceptions of main roots rest entirely upon the observation, that the portion of the embryo of dicotyle- dons, which is situated beneath the cotyledons (and in most instances that portion of the plant alone) is prolonged downwards and becomes the root, and that in a normal state no portion of the plant above the cotyledons sends forth roots. Now, strictly speaking, the root by no means commences close underneath the insertion of the cotyledons, for between the latter point and the root there is to be * Berliu 'Botanische Zeitung,' 1849, 797. 204 HOFMEISTER, ON foimd the small embryo-stem which Irmisch calls the hypocotyledonary axis, and which Clos calls the collet. The place of origin of the root, i. e., the lower end of the embryo- stem, is difficult to discover by direct observation, but may safely be defined as the point at which in the lower end of the very young embryo the cell-multiplication peculiar to the root commences. Now, whether the young root of the germinating plant has the appearance of an immediate prolongation downwards of the embryo-stem (as is the case with most dicotyledons, and with a few monocotyledons, such as Juncus, Allium, and Paris) — or whether it (the young root) breaks out from the interior of the lower end of the embryo, as in the Palms and the Loranthacae — de- pends simply upon the fact whether the place of origin, the focus of cell-formation of the root, lies nearer to or further from the lower end of the embryo. In both cases the root is a main root. ' An adventitious root differs onlv in the fact, that its longitudinal axis does not coincide with the prolongation of that of the embryo, but forms with the latter a considerable angles For instance, the Orchi- dese, the Fluviales, and especially (as Irmisch has well observed), the Grasses, have no radicle, but only adventi- tious roots. The distance from the surface of the place of origin of adventitious roots is variable, being less in some plants than in others. In the former case the surface of the adventitious roots passes gradually into the cortical layer of that portion of the plant from which they spring, as may be observed in the pea when germinating. In the latter the adventitious roots pierce through the outer cel- lular cortical layers, throwing back those layers in the form of a ring round the place of egress of the roots. The absence of these characteristic collars (Coleorhiza?), at the base of the adventitious roots, is by no means unusual.* Ferns with creeping stems almost always have them, and those with upright stems not unfrequently. It is well known that all ramifications of roots, both those from main roots and those from adventitious roots, are formed from the outer surface of vascular bundles, and must therefore, with- out exception, break through the bark. The reason why * See Irmiscli's observations on ' Neottia nidus avis.' THE HIGHER CRYPTOGAMIA. 205 no Coleorhizse are usually visible here, is, that (as in the case of axile superficial adventitious-root-formation) the direction of the root-branch in its earliest stage, generally follows the axis of the root. The bark of the latter is pierced by the former during the young state of the cells before they have attained their final thickness. The con- tinual amalgamation of the contiguous cells of the root and its branch obliterates all traces of the gradual perfo- ration. During the first divisions of the rudimentary cells of the stem, frond, and root, the two others of the four primary cells of the embryo multiply by the formation of oblique longitudinal and transverse septa (PI. XXVIII, fig. 3 ; PI, XXVI, fig. 6), so that the embryo assumes altogether a spherical form. Only the rudiment of the first frond ap- pears at an early period as an elongated point. Prom the time when the outer limits of the rudimen- tary cell of the root are fixed by the formation of the first cell of the root-cap, the cells of the upper surface of the primary axis, and also the neighbouring cells of the growing root, enter into close combination with the adjoining cells of the prothallium.* The result is a complete amalgamation of the adjoining outer surfaces of the cells, which cannot now be detached from one another by mere mechanical means. Henceforth the embryo which up to this point lay free in the cavity of the enlarged central cell of the archegonium, ad- heres firmly to the prothallium. The adjoining cells of each remain tolerably even. The attachment of the embryo is not the result of arrangements such as we find in the analogous process of the ingrafting of the fruit of a moss into the axis of the mother-plant ; nor is there any elongation of the basal cell of the fruit rudi- ment into a capillary tube, becoming curved where it penetrates the stem, as is the case in many Jungermanniac ; nor is there as in Anthoceros any development of pro- cesses from the cells of the broad, slightly convex, under surface of the young fruit. From the moment of the commencement of the amalgamation, the cells of the * Sec Mohl in 'Wagner's Handworterbuch dcr riiysiol.,' vol. iv, p. 279. 206 HOfMEISTEU, ON embryo which attach themselves to the prothallium divide by the repeated formation of transverse septa into groups of almost tabular cells. By this means the way is pre- pared for the subsequent not inconsiderable longitudinal extension of the primary axis of the embryo which is the result of cell- expansion. The action of concentrated sulphuric acid soon loosens the connexion between the prothallium and the embryo. If the latter is detached the outer surface of its primary axis appears to be surrounded by a gelatinous envelope with radial markings : this is the loosened adhesive mat- ter by which the embryo and the prothallium were united. The outlines of the cells of the latter are most clearly marked upon it by a net-work of narrow band-like protu- berances. The growth of the embryo is accompanied by an active multiplication of the cells of the prothallium adjoining the impregnated archegonium. This multiplication, which is not confined to the cells immediately adjoining the central cell of the archeoonium, gives rise to the formation of a con- siderable cellular protuberance, attached to the under side of the prothallium, and which encloses the embryo. The circumference of this excrescence is usually very consider- able in Pteris aquilhia. The increase in growth of this cellular tissue usually keeps pace so completely with that of the embryo, that the expanding cavity is always exactly filled up. The multiplication of the neighbouring cells of the prothallium is not however caused by the pressure of the growing embryo upon the side walls of the central cell of the archegonium : this is manifest from the fact of the occurrence of exceptional cases of imperfect growth of the embryo, as has been observed, not only in many vascular cryptogams, but even in mosses.* The embryo, probably in consequence of imperfect impregnation, only occupies a small portion of the enlarged cavity of the central cell of the archegonium, as has been observed by comparing two im- pregnated archegonia of the same prothallium in Pteris aquilina and in Aspidium filix-mas (PI. XXVIII, fig. 2) ; * By Got.tsclic in Calj/pot/eia Tric/io/iiaues, 'X. A. A. L. C.,' and by myself in Frullania dilatata and Targionia hypophi/lla. ' Vergl. Unters,5 p. 41. THE HIGHER CRYPTOGAMIA. 207 the same thing also has been noticed in Salvinia natans and Pilularia globulifera. The active longitudinal growth of the first frond and of the first root of the young fern produces a constantly increas- ing expansion of the surrounding tissue of the prothallium, until the latter is ultimately unable to keep pace with the increase in size of the young plant. The layer of tissue surrounding the latter underneath, is ruptured transversely, usually somewhat in front of the neck of the impregnated archegonium. The frond immediately curves upwards, and appears between the two flaps of the prothallium. Before this period it has formed the rudiments of its lamina, which in all ferns are much less divided in the young, than in the full-grown plant. The first fronds of Potypodium valgare, for instance, are not unfrequently undivided and lancet- shaped ; more often however they are divided at the apex into two portions of very unequal size. Contemporaneously with the appearance of the first frond, the first root also pierces downwards through the tissue of the prothallium. Immediately after it makes its appearance it turns down- wards into the ground.* If the second frond of the germ-plant is developed very soon after the first, the surrounding cellular tissue of the prothallium in the neighbourhood of, or above the point of egress of the first frond, is pushed outwards and forwards, and is ultimately broken through. Before the frond makes its appearance out of this covering, the latter resembles a coni- cal wart protruding into the indentation of the fore edge of the prothallium : it is the body which Wigand (' Bot. Zeit.' 1849, p. 121) has described as the prolongation of the midrib of the prothallium. * Yon Mercklin asserts (' Beobacht. am Prothallium der Parrnkr.' Peters- burg, 1850) that soou after the appearance of the embryo in the interior of the prothallium, a dark stripe becomes visible, passing from the base into the mass of the prothallium, and expanding itself there. It contains a bundle of shortly- jointed, striped vessels, the pointed ends of which reach to the neighbourhood of the archegonia. The older the prothallium the more numerous are these vessels, which, in their configuration, answer exactly to those of the large vascular bundles of the first frond, and appear never to be wanting. I find the prothallia of all the ferns which I have examined to be always com- posed of homogeneous parenchyma, and to be devoid of vessels. I have not the least notion what Von Mercklin's supposed striped vessels can be. 208 H0FME1STER, ON Development of the vegetative organs. — -The similarity in the development of the different species of ferns does not extend beyond the formation of the rudiments of the first frond and of the first root. So far as regards the mode of development of the vege- tative organs, the two commonest ferns of Germany re- present the terminal points of the long series of multi- farious forms of the most extensive family of the vascular cryptogams. Pteris aquilina affords one of the most per- fect examples of a fern with a creeping stem, having the fronds arranged in two lines, and with a most decided tendency to bifurcation of the terminal bud. The greater number of the ferns inhabiting the forests of the torrid zone comport themselves like Pteris aquilina. Aspidium flix-mas, on the other hand, forms a stem tending up- wards, and agrees essentially in its habit, in the arrange- ment of its fronds, and in the division of its vascular bundles, with the tree-ferns of the tropics. The follow- ing observations will treat of the history of the develop- ment of the two ferns just mentioned, and we will pro- ceed first with Pteris aquilina. Pteris Aquilina, L. — The surfaces of the septa formed in the cell of the first degree in the first frond of Pteris aquilina are turned towards the apex of the stem.* A plane passing through the longitudinal axis of the stem and of the frond, is at right angles to the lateral surfaces of the wedge-shaped apical cells of both organs (PI. XVIII, fig. 6). Even at a very early period, before the enveloping cellular layers of the prothallium are ruptured by the longitudinal growth of the first frond, septa are formed in the apical cell of the frond on the right and left of its median line. These septa are at right angles to the fore and hind walls, and they change (DO 7 J O the form of the cell, which has hitherto been wedge-shaped like a segment of an ellipsoid, into a three-sided prism with the edge turned downwards and having its hinder surface * This is the case also with all the subsequent fronds not only of Pteris aquilina but also of other species of the same genus ; as well as with the fronds of such ferns as Pteris scrrulata, which have a triple frond-arrangement, and where the apical cell of the terminal bud has the form of a three-sided inverted pyramid. In the Polypodiums and Aspidiums the circumstances are widely different. THE HIGHER CRYPTOGAMIA. 209 arched. The longitudinal growth of the frond is also for- warded by the production of septa which are parallel to the fore and hind walls of the cell of the first degree, and are turned towards the surfaces of the frond. From time to time, however, the apical cell divides anew by longitudinal septa at right angles to those just mentioned, and the end of the young frond is by this means widened. Thenceforward both forms of division continue to take place in the marginal cells of the frond which adjoin the apical cell ; but the activity of division diminishes in a lateral direction, and terminates far above the place of insertion of the frond. That portion of the frond which is situated above the point at which the multiplication of the marginal cells terminates, becomes the blade of the frond, and the portion below that point becomes the stem of the frond. The cell-succession of the leafy portion of the frond therefore much resembles that of the flat stem of the Marchantieae and Riccieae ; but there is invariably one cell only of the first degree ; not two. The formation of the pinnae of the frond in the species of Pteris, as in the rest of the Polypodiaceae, is the result of a true bifurcation of the apical punctum vegetationis. This formation commences with the division of the apical cell by a septum coinciding with the median line of the frond, and perpendicular to its surfaces. Each daughter-cell is divided by a septum almost parallel to the longitudinal axis of the frond (PI. XXIX, fig. 3). This latter division occurs either immediately, or after the previous formation of septa which are inclined to the surfaces of the frond, and contribute to its longitudinal growth. The three-sided cell on the right and on the left of each of the two pairs of cells which occupy the middle of the fore edge of the frond, becomes the seat of fresh cell-multiplication, and is the cell of the first degree of a pinna of the frond. Each of the new shoots is alternately more strongly developed, thus changing the direction of the bifurcation to the right or to the left. The Aveaker one is pushed on one side so as to appear to be lateral. The continual change in the direction of the less vigorous bifurcations causes the feather-like form of the frond, whose segments (as is well known) are in no species 14 210 HOFMEISTER, ON exactly opposite to one another. The position of the first lateral bifurcation on the mid-rib is not constant in any species ; in Pteris aquilina it is more often to the left, in Aspidium jilicc-mas to the right. The principal segments of the fronds, however, taken in relation to their subsequent ramifications, are very regularly antidromal : on the pinna3 to the left of the axis of the frond the first segment of the second degree, or the first tooth of the margin, is on the right : on the pinnae to the right of the axis it is on the left. Prom the first commencement of the frond its growth in thickness is most vigorous behind. Its mathematical longitudinal axis is not identical with the morphological one i it does not coincide with the surfaces of contact of the masses of cells, produced by the multiplication of the cells of the second degree, which are turned towards the front and back surfaces of the frond. At the time of the commencement of the formation of the blade of the frond, which is produced by the widening of its apex, the cell- multiplication in a longitudinal direction increases on the hinder surface of the frond. It exceeds that which takes place on the front surface and thus leads to the commence- ment of the rolling inwards of the frond (PL XXIX, fig. 1), which is completed by the stretching of the cells of the hinder surface which shortly afterwards takes place. Con- temporaneously with the commencement of the rolling inwards, the axile longitudinal rows of cells separate them- selves by the cessation of transverse division, and become transformed into the simple vascular bundle which traverses the stem and mid-rib of the frond. Pour cells of the adjoining parenchyma are about equal in length to one of the cells of the rudimentary vascular bundle. This latter passes through the morphological longitudinal axis of the young frond, near its front surface. It is concave in a transverse section, open towards the front (PI. XXIX, fig. 14). During this development of the frond, the first root also has grown considerably. Its axile rudimentary vascular bundle becomes visible contemporaneously with that of the frond. The two meeting together in their entire breadth THE HIGHER CRYPTOGAMIA. 211 underneath the terminal bud, — which in the meantime has become developed into a cellular wing, — form a connected, slightly curved, string of cambium, upon which the wing is attached sideways (PL XXIX, fig. 1). Now whilst the cellular layers surrounding the embryo are ruptured by the longitudinal growth of the frond and root, the cells of the primary axis also become consider- ably elongated, so that the germ-plant is removed from the prothallium as if borne upon a short stem ; an appear- ance which brings to mind the normal process in Salvinia, The innermost cells of the primary axis adjoining the vascular bundles of the frond and of the root assume a prosenchy- matal form (PL XXIX, fig. 1), and at a later period become woody scalariform cells, so that the ligneous body of the germ-plant has a blind-ended short prolongation reaching into the primary axis. The growth of the stem-bud, which is rapid in com- parison with what occurs in other ferns, and which is observable whilst the embryo is yet enclosed (PL XXVIII, figs. 4, 5), increases still more after the latter has emerged from the prothallium ; the end of the stem becomes a somewhat slender cone (PL XXIX, fig. 1). The forma- tion of the second frond commences even before any thickenings of the membrane make their appearance in any of the cells of the rudimentary vascular bundles of the germ-plant. The second frond originates in the multipli- cation of a cell of the apex of the stem situated on that side of it which is turned away from the point of attach- ment of the first frond, and distant from the latter by about half the circumference of the stem. The cell-multiplication of the second, and of all the subsequent fronds, follows the same rule as that of the first : it begins by the continually repeated division of the cell of the first degree, by means of septa inclined alternately towards and away from the top point of the stem. After the rudiments of the stipes of the frond are fully formed, the apical cell divides by longitudinal septa at right angles to the fore and hind surfaces ; in all the cells of the thus expanded fore-edge, division occurs by septa inclined alternately towards the upper and under surfaces of the frond. 212 HOFMEISTER, OX Almost contemporaneously with the appearance of the second frond, numerous cellular hairs are seen upon the terminal bud of the stem, which have been previously visible, although more sparingly, upon the first frond. Having regard to their position and their centripetal deve- lopment, they are undoubtedly analogous to the scales of other ferns, which indeed also appear primarily elsewhere under the form of simple rows of cells. * In Pteris aqidlina, Biclsonia rubiginosa, and Balantium Karstenianum they do not progress beyond this primary stage of develop- ment. From the time of the formation of the second frond until the commencement of that of the third, the longitu- dinal growth of the axis increases considerably, as it does with each successive frond during the entire life of the plant, unless prevented by unfavorable influences. At this time, if not (as is not unfrequently the case, PL XXIX, tig. 1) even before the formation of the second frond, a twisting of the stem takes place. If the young stem is supposed to be horizontal, the hinder surface of the first frond is turned downwards ; the rudimentary frond was parallel to the surface of the prothallium.f By the torsion of the axis the direction of the third frond, and sometimes even of the second, is turned away from it to the extent of 00°. Henceforth the fronds are inserted on the sides of the creeping stein, the fraction \ representing as before their mode of arrangement. The plane of involution of the budding stem (that plane in which all the turns of the incurved leafy surface lie, and which is perpendicular to the leafy portion of the frond) is at first radial to the axis of the latter. This plane, however, soon stands at right * I will return to this subject hereafter. Multicellular hairs with intercalary cell-multiplication, even in the direction of the breadth and thickness, occurs here and there even on the leaves of phsenogams {e.g. Begonia, and the calyx and corolla of Hibiscus Trionum). My observations do not confirm Kunze's opinion that the shoots at the base of the stipes of Hemitelia cupensis, which resemble the fronds of Trichomanes, are transformed scales. The reasons therefore which induced me to consider the scales as leaves, and the fronds consequently as leafy branches, fall to the ground. The scales are only a kind of hairy covering; certainly a very highly developed one, as they frequently contain chlorophyll; for instance in Platy cerium. f It is self-evident that in speaking thus of the direction of the frond no account is taken of the secondary curving upwards of the stipes to the light. THE HIGHER CRYPTOGAMIA. 213 angles to the axis, on account of the rapid horizontal longitudinal grow.th of the stem, which far outstrips the development of the frond ; and the result is that the sur- faces of the frond are parallel to the axis. The stalks even of the first fronds exhibit the appearance* which occurs in the stipes of almost all fronds, that is to say, prominent bands of loose cellular tissue having the intercellular cavi- ties filled with air pass along the side edges of the stipes ; which bands are in connexion with, and of the same nature as, the inner parenchyma, which latter, except where it is traversed by the bands, is enclosed by a firm cortical tissue (PI. XXX, figs. 7, 9). The creeping stem of Pteris aquilina (PI. XXX, fig. 3), and the stems of the exotic DicksoniEe, which are similar in their habit, exhibit the same quality. The lateral ridges of the stem pass directly into those of the fronds (PL XXIX, fig. 14). At an early period the germ-plant exhibits that prema- ture vigorous development of the peripheral cellular layers of the stem in the immediate neighbourhood of its terminal bud, which afterwards has a marked effect upon the form and position of the apex of the stem. The growth in thickness of the cortical tissue of the next younger portion of the stem is very rapid, and by the time that the third frond is developed, the apex of the stem appears to be sunk in that tissue (PI. XXIX, fig. 6). The internal structure of the young stem, like that of the first frond, is very simple. Prom the point of junction of the vascular bundles of the first frond and first root there is developed a central vascular bundle, traversing the young stem (PI. XXIX, figs. 5, 6, 7), from which the transformation into vascular bundles of the strings of cellular tissue which pass into the newly-formed fronds commences, and on the outer surface of which the development of new adventitious roots begins (PI. XXIX, fig. 6). The direction of the second and of the next following root diverges by about 90° from a plane passing through the first frond and the longitudinal axis of the stem (PL XXIX, fig, 6). The subsequent roots exhibit no trace of this regular arrangement. After the formation of from seven to nine fronds, the * Karsten, ' Vegetations-organe der Pahuen,' p. 129. 214 HOFMEISTER, ON stem becomes forked by the division of its punctual vege- tationis. Eacli branch of the fork increases rapidly and considerably, and about equally, in thickness. The first frond of each is usually situated to the right hand (PI. XXIX, figs. 10, 11). From this time forth the course of the vascular bundles of the stem is a compound one. The lateral opening of the central vascular bundle becomes enlarged (PI. XXIX, fig. 8). Its upper half is soon sepa- rated from the lower; the vascular bundle is prolonged, whilst the tissue of the bud of the stem remains paren- chymatal. The stem has now two flat vascular bundles (PI. XXIX, fig. 9) parallel to the axis, which here and there split into thinner forked branches which soon unite again (PL XXIX, fig. 9'). When the furcate shoots have attained a length of about three inches, and their transverse diameter is about two lines wide, the two large vascular bundles send out less vigorous bundles which take a direction nearer to the bark, and of which the uppermost one, which passes above the axile bundles, is somewhat more fully developed, and is about equal in breadth to the latter (PI. XXIX, figs. 12, 13). The cortical vascular bundles anastomose in the vicinity of the place of insertion of each frond, and thus form a hollow cylindrical network of elon- gated meshes. But no connecting branches between them and the axile bundles are to be found anywhere in the stem. The latter follow an entirely isolated course within the creeping steins ; ramifications from them enter the fronds, and it is only these ramifications which are met inside the stipes by ramifications from the cortical vascular bundles. Roots originate only from the latter bundles. The stems of fully grown plants exhibit, in all essential points, the same distribution of vascular bundles. The number of the peripheral ones amounts to as many as twelve. The two uppermost of the latter are blended to- gether for the greater part of their course, and thus form a wide bundle, which lies in the same vertical plane as the primary axile bundles. Two masses of cells almost parallel to these primary vascular bundles, and situated between them and the peripheral vascular bundles, become THE HIGHER CRYPTOGAMIA. 215 very woody, like bast-cells. Their very thick walls, which are pierced by pits or canals, assume a brown colour throughout. Thin sections of them are of a beautiful golden yellow ; when seen in a mass they are almost black. The axile region of the stem thus appears, even to the naked eye, to be distinctly separated from the bark by a thick hard sheath of vascular bundles, which has a fissure-like longitudinal opening only on each of the two sides parallel to the outer longitudinal bands of the stem (PI. XXX, fig. 3). One of these fissures is often closed by an amalgamation on one side of the two halves of the sheath of vascular bundles. The upper half of the sheath is tolerably flat ; the lower one has the form of a furrow. During the transformation of the parenchy- matal cells of the end of the stem into bast-cells, air- bubbles are formed (PL XXX, fig. 12), between the walls of the latter, in the interior of small irregularly-defined inter- cellular cavities. These air-bubbles disappear when the thickening of the walls commences. The outermost cellular layers of the bark also assume a deep brown colour, but without becoming prosenchy- matous, and without any material thickening of their walls. Those portions only of the tissue which pass towards the lateral longitudinal ridges do not assume this brown colour, which extends to the depth of one-eighth of a line into the cortical tissue. The portions just mentioned, like the parenchyma of the interior of the stem, remain of a dazzling white : they contain starch, and their intercellular cavities are filled with air. Here and there in this tissue, and sometimes also in the brown-coloured outer cortical layer spindle-shaped groups of combined cells become trans- formed into thick-walled bast-cells, similar in all respects to those of the sheath of vascular bundles.* As the vascular bundles in the growing stem become more complicated, so also do those in the stipes of the fronds. As in the first, so also in the other fronds of the young plant up to the twelfth, the vascular bundles unite to- * Mold objects to these cells being called bast-cells (' Vermischte Schriften,' p. 116), but in their form and mode of development they agree exactly with the bast-cells of phsenogams. 216 HOFMEISTER, ON gether to form a single one. The transverse section of this single bundle has the shape of a horse-shoe, of which the opening is originally turned towards the apex of the stem-bud, but which in consequence of the rapid longi- tudinal development of the latter, and of the curving up- wards of the frond, appears at a later period to be parallel to the longitudinal axis of the stem. After the splitting of the primary vascnlar bundle, and the appearance of cortical vascular bundles in the stem, there arise ramifica- tions of both the axile bundles, of the wide bundle above them, and of the rest of the cortical vascular bundles of the adjacent longitudinal half of the stem (PI. XXX, figs. 1" to V, and fig. 2). The sheath of vascular bundles also sends out prolongations into the stipes : from the upper as well as from the lower group of brown bast-cells the same transformation of the tissue advances in a direction parallel to the longitudinal axis of the frond (PI. XXX, fig. 7). At a short distance above the place of insertion of the frond, both longitudinal strings of ligneous tissue unite to form a single one of which a transverse section exhibits the shape of the letter T having the two branches of its head turned to the lateral longitudinal ridges of the frond (PL XXX, figs. 8, 9). The hind angle of the T includes the ramifications of the two axile primary bundles of the stem ; the fore angles those of the wide cortical vascular bundle which runs off in the top line of the hori- zontal stem, as well as the branches of the cylindrical cortical vascular bundle immediately adjoining. In front and on the outside of the head of the T, run the bundles which sent forth the cortical bundles underneath the place of inser- tion of the frond. In the lowest part of the stipes, under- neath the point of junction of the prolongations of the vascular sheath, all these vascular bundles anastomose in a radial direction • above this point only in a tangential direction. Each of the primary vascular bundles sends two proportionally thin cylindrical branches into the frond (PI. XXX, figs. 2,!,e). All four soon unite to form a wide vascular bundle concave behind (PI. XXX, figs. 8, 9). A similar bundle is formed by the junction of those bundles which are enclosed by the fore angle of the T-shaped mass THE HIGHER CRYPTOGAMIA. 217 of brown cells. It is this distribution of the tissue com- posing the stipes which produces the well known figure of the eagle seen on an oblique section. Delicate longitudinal sections through the terminal bud of the stem of Pteris aquilina, exhibit with the greatest clear- ness the transformation of the originally homogeneous parenchymatal tissue into vessels and bast-cells. The in- vestigation is very much facilitated by the course of the inner one of the two primary vascular bundles, which is straight and parallel to the axis. According as the section is taken parallel to the surface of the earth, through the longitudinal ridges of the creeping stem, or at right angles to this direction, the wedge-shaped cell which encloses the apex of the flatly conical deeply buried terminal bud is seen either on its three-sided front aspect (PI. XXXI, fig. 5), or its four-sided lateral aspect (PL XXXI, fig. 4). The funnel-shaped depression, at the bottom of which the terminal bud is seated, is strongly compressed from above and below. The walls of the depression are thickly clothed with scale-like hairs. The erect ends of the hairs, which are closely pressed against one another, and fastened to- gether by a hardened mucilage secreted from the bud, entirely close the mouth of the funnel, and shut off the delicate young portions at its base from the outer air. The end of the stem in its longitudinal growth forces its way through the toughest clay, without injury to the delicate bud buried in its apex. The clearly defined mode of arrangement of the cells of the second degree, and of their derivatives, affords an im- mediate explanation of the deep depression of the terminal bud. The cell of the first degree is wedge-shaped (PI. XXXI, figs. 2 — 5), as is manifest by comparing its apical, front, and side aspects. It is bounded by three curved surfaces, the upper free wall of the cell representing a portion of a spherical surface enclosed by two flattened arcs, and the side-walls being two segments of a conical surface. The septa which arise in the cell, and which are alternately parallel to the one and the other of the simple curved lateral surfaces, form cells of the second degree, having the shape of the fifth part of an oblique hollow 318 H0FME1STEK, ON cone. These divide successively by means of longitudinal septa which are parallel to each one of their small lateral sur- faces, and diverge strongly from the radii of the stem, into from three to five cells, adjoining the cell of the first degree (PI. XXXI, fig. 3 *) ; a form of multiplication in which variations sometimes occur by which the next step in the development is anticipated (PL XXXI, fig. 2). The newly-formed cells then divide gradually by means of septa parallel to the lateral surface of the apical cell into twos ; those cells which are situated anteriorly to the middle of the sides of the apical cell dividing sooner than those adjoining the lateral corners. The cells thus formed, whose increase in height and in width (?. e., parallel to the lateral surface of the apical cell) far exceeds their increase in thick- ness, divide by means of transverse septa into low, almost cubical, inner cells, and elongated outer cells, with a free outer wall (PI. XXXI, figs. 4, 5). The expansion and multiplication of the cells of each of the groups derived from a cell of the second degree, preponderate considerably in the lower portion and in a transverse direction ; and the same thing occurs in the cells derived from the youngest of the four cells of the second degree, whose free outer walls compose the conical interior portion of the stem-bud (PL XXXI, figs. 4, 5). In the longitudinal section of the stem the boundary lines which enclose each such group of cells exhibit strongly protruding angles on the side turned away from the apex of the stem : the side walls of the cells composing the outer surface of the stem-bud, are inclined inwards towards their summits. In the next older group of cells the direction of the suddenly-augmented cell-multi- plication is reversed. Here the cells of the circumference often divide repeatedly by means of septa parallel to the chord of the arc of the outer wall, and perpendicular to the side-walls. This is a growth in thickness, an increase of the cortical tissue in a direction at right angles to the axis, but in consequence of the unusual direction of the cells in which it occurs, it takes place at first apparently in an upward direction. The bud becomes surrounded by a high, narrow, annular wall. The growth of the latter is particularly active in the direction of a plane cutting the THE HIGHER CRYPTOGAMIA. 219 lateral bands of the stem at right angles ; here the internal septa of the annular wall become perpendicular, or even overhanging. Its cells appear arranged in concentrical scaly layers round the middle point of the stem-bud. During the formation of the annular wall the activity of cell-multiplication in the longitudinal direction (i. e., in the direction of lines drawn in a radiating manner from the apex of the stem-bud along its sides) increases, and obliterates the arrangement of the cells visible in the apical aspect of the youngest portions of the bud, viz., the system of flattened arcs surrounding the middle point of the stem. In its place the arrangement in (apparently radial) longitu- dinal rows becomes more manifest ; this is produced by the repeated division of the cells by means of septa at right angles to the outer surface, and perpendicular to the radial planes passing through the axis of the stem. The prolongation of the two primary axile vascular bun- dles begins to be differentiated from the rest of the tissue at a very little distance beneath the terminal bud, and in or near the mass of cells derived from the eighth-youngest cell of the second degree. The separation of the peripheral vascular bundle commences somewhat further from the apex of the stem. Both phenomena arise from the fact, that in the strings of cells which are transformed into vascular bundles, the transverse division which continues to take place in the neighbouring tissue, diminishes and ceases, whilst the division by means of longitudinal septa is hastened. The rudimentary vascular bundles appear there- fore as streaks of narrow elongated cells, whilst in the cells of the remaining tissue no one of the three dimensions preponderates to any great extent (PI. XXXI, figs. 4, 5). Certain cells of the vascular bundles arranged in longitu- dinal rows, become widened at a very early period. After- wards they are transformed into the scalariform cells which form the principal mass of the perfect vascular bundle. In the first instance they are placed one upon another, and furnished with horizontal transverse septa : they assume their permanent spindle shape even before the first traces of thickening layers are visible upon their inner walls (PI. XXX, fig. 12 ; PI. XXXI, fig. 1). The first appearance 220 HOF5IE1STER, ON of the thickenings of the wall is in the form of delicate transverse streaks, and commences long before the termina- tion of the longitudinal growth of the cell, and even during the existence of the parietal nucleus and of the strings of granular mucilage proceeding from it (PI. XXXI, fig. 1). Long before the appearance of the first traces of the thickenings of the walls of the scalariform vessels, spiral thickenings are visible in certain cells arranged in groups of twos or threes and which at an early period become spindle-shaped. It is very clearly seen that the formation of the spiral band proceeds gradually from the lower to the upper end of the cell (PI. XXX, fig. 12). In each vascular bundle these small groups of spiral vessels are formed : one axile group is formed in those vessels which are circular in a transverse section, and three are usually formed in those bundles whose transverse section is elongated ; one of such groups being in the centre, and the others in the foci of the figure presented by the transverse section, and which bears a distant resemblance to an ellipse. The great expansion of the cells of the vascular bundle which go to form the scalariform vessels, causes such a com- pression of the intermediate, narrow, prosenchymatal cells, that in some instances the entire cavity of the latter is obliterated. A transverse section of the youngest portion of a vascular bundle taken at a point near the terminal bud where the thickening layers are visible only in the spiral vessels, exhibits a considerably larger number of cells than is seen in the same vascular bundle at a distance of about a line and a half from the terminal bud after its scalariform vessels are completed (PL XXX, figs. 10, 10';). A similar state of things exists in the vascular bundles of the stipes. Trans- verse sections of the compressed cells, provided the cavities of the latter are not quite obliterated, bear a considerable resemblance to the lenticular cavities between two pits of coniferous wood (PI. XXX, fig. 2, between the two wide vessels) . The course of the vascular bundle nearest to the middle of the stem (i. e. of the upper one of the two primary ones), is almost exactly parallel to the longitudinal axis close THE HIGHER CRYPTOGAMIA. 2:21 under the bud of the stem. But in consequence of the subsequent growth in length and thickness of the interior of the stem, the other axile bundle, and still more the cor- tical bundles, are bent strongly inwards towards the longi- tudinal axis of the stem as long as their course passes within the prematurely developed peripheral tissue. This bending usually amounts to 99° in the cortical bundles (PI. XXX, fig. 4 ; PL XXXI, fig. 1). A transverse section passing through, or just over, the apex of the bud, exhibits the vascular bundles which run almost horizontally to the apex, in the form of from six to eight light streaks united in a stellate maimer. Soon after the appearance of thickening layers in those cells of the axile bundles which have become widened into scalariform vessels, there ensues such a considerable growth of the cells of the interior of the stem, that the dispropor- tion of the latter to the peripheral cellular layers disappears. The bent portion of the cortical vascular bundles takes a straight course ; the height of the axile cells becomes almost equal to that of the cortical cells of the same age ; which latter cells had far outstripped the former in development, especially in the thickening of the cell- membrane, as is perceptible in the peripheral vas- cular bundles. As the growth of the interior of the stem (by means of the extension of its cells) surpasses that of the bark, which was prematurely developed by more vigorous cell-multiplication, the cells of the interior are three or four times longer than the peripheral cells. The process may be considered as a pushing outwards of the funnel-shaped depression around the terminal bud. It occurs in like manner in Isoetes, Cycas, Mamillaria and elsewhere, but much less distinctly on account of the close crowding together, of the appendicular organs. The formation of new fronds always takes place above the point of origin of the youngest scales. At sonic dis- tance from the top cell of the apex of the stem, and sepa- rated from the latter by from three to six cells, the mother- cell of the frond is first visible in the form of a slight elevation above the flat conical surface of the bud (PI. XXXI, fig. 3). The first step in the formation of a frond however 222 H0FME1STER, ON very probably consists in the occurrence from time to time of the division of a newly formed cell of the second degree by means of a slightly convex longitudinal septum, turned towards the cell of the first degree, which cuts off from the cell of the second degree a daughter- cell, whose form coin- cides with that of the apical cell of the stem (PL XXX, fig. 2). The rudiment of the frond bears considerable re- semblance to the end of the stem in the arrangement of its cells, but is distinguishable by the greater curvature of its arcuate surface, and by the very early appearance, (although at first in small quantity), of chlorophyll in its cells. The growth of the frond in length and thickness is at first very slow. The rapidly elongating apex of the stem soon leaves it behind. Whilst the premature development of its cor- tical tissue commences on the side turned to the young frond, the wall-like elevation of the circumference of the stem in the neighbourhood of the terminal bud pushes itself at an early period into the space between the two. The frond and the end of the stem which at the first appearance of the former are enclosed in the same depression of the bark, are now each of them situated at the base of a special funnel-shaped depression. The tips of the scales which clothe their walls protrude above each depression in a peni- cillate maimer (PI. XXX, fig. 5). Whilst the germ-plant in the first year produces as many as twelve slender fronds whose development is con- tinually progressive, the development of the fronds of older plants, which is frequently interrupted by long periods of cessation, requires several years. It is a rule, departed from only in cases of sudden alteration of the conditions of vegetation, (such as the ploughing up of the ground of a wood), that each shoot of the mature plant sends out yearly only one frond.* New fronds are produced towards the end of the vegetative period which lasts from April till October. In the first year the frond assumes no greater development than that of a low, laterally flattened, green wart of cellular tissue, situated at the base of a depression of the bark of the stem, distant at the most not more than a line from the apex of the stem. In the following year * See A. Braun, c Verjiingung,' p. 63. THE HIGHER CRYPT0GAM1A. 223 (until the end of May) the stem rapidly elongates to the extent of about an inch, and during this period the portion of the stipes of the young frond which afterwards assumes a brown colour, is formed : it is a cylindrical body, one or two inches high, having a vertical direction produced by violent curvature close to its place of insertion, and clothed with yellowish- white scales (PL XXIX, fig. 14). After the removal of the latter a flat furrow is visible at the apex of the young frond on the side turned towards the stem, in which the rudiments of the lamina of the frond are closely folded in tile form of a flat cellular mass, about one eighth of a line long, exhibiting two or three furcate ramifications (PL XXX, fig. 6, 6 h). Towards the end of the second vegetative period this cellular mass attains the length of one line, and makes from ten to twelve furcations, alternating to the right and to the left hand. The further development of the frond goes on in the spring of the third year, at the end of May in which year it appears above the surface of the earth, delicately rolled up like a crosier, and complete in all its parts. Roots are developed only from the cortical vascular bun- dles of the stem of mature plants, and in fact only from the points of junction of their meshes. Their rudiments are formed close under the terminal bud, at the point where the course of the cortical vascular bundle exhibits its inward curvature (PL XXXII, fig. 1). Here cell-multiplication commences in one of the outer cells of the cambium bun- dle, similar to that by which the first root of the germ-plant is formed. As in that case, the three different kinds of septa of the cell of the first degree stand at right angles to a radial plane passing through the longitudinal axis of the stem. A septum is formed tinned towards the vascular bundle from which the root is developed, and making an angle of about 30° with the root. This septum has the form of the third part of the surface of a truncate cone, and its formation is followed by that of a curved septum inclined in an opposite direction, this again is followed by the formation of an almost flat transverse septum at right angles to the longitudinal axis of the root, and diverging from the two former by about 60°. The form of the pri- 224 HOFMEISTER, ON mary cell of the root agrees with that of the apical cell of the stem, except that the side-walls of the former are more strongly curved (PL XXXI, fig. 6 h ; PL XXXII, fig. 1 "). The layers of the root-cap, which on account of the more vigorous growth at their median point are convex outwards, are developed from the cells of the second degree, which latter are formed by the production of flat septa parallel to the basal surface of the primary cell. The permanent main portion of the root is produced by the continual division of those cells which have the form of the third part of a hollow cone. The latter cells are first arranged in parabo- loidal layers, which in the one longitudinal moiety of the root protrude for about half the length of a cell beyond the layers of the other moiety of the root. In the cells derived from the third oldest cell of the second degree,this symmetri- cal arrangement is changed into a homogeneous one, whilst transverse septa parallel to the primary septa appear in all the cells of the layer (PL XXXII, fig. 1 h). The mode of dif- ferentiation and formation of the axile vascular bundle, and the delay which at first occurs in its longitudinal develop- ment compared with that of the bark (a delay which is afterwards compensated by expansion), are common to both the root and the stem. Ramifications of the root spring from its vascular bundles in the same manner as the roots spring from the cortical vascular bundles of the stem. The roots of the second degree, as well as their ramifications, which are not of frequent occurrrence, are arranged in two lines. The greater the age attained by a shoot of the Eagle Pern — whether such shoot proceed directly from a pro- thallium, or from a bud, or whether it be the single branch of a forked stem — the greater is the tendency to furcation of its terminal bud. Ultimately, in really old individuals, frond- formation ceases entirely on the furcate branch when more strongly developed. Only the more delicate forked shoots which are placed alternately to the right and to the left bring forth fronds ; the first one being always in the inner angle. The naked unbranched terminal shoots of those plants whose sympodium (which has the appearance of a principal axis) bears no fronds, is developed with ex- THE HIGHER CRYPTOGAMIA. 225 treme rapidity, and produces an abundance of roots. Un- branched terminal shoots of this kind, of from six to ten inches long, are not rare. In these shoots the lower part of the annular wall which surrounds the terminal bud, pro- trudes itself forward in a labiate form, so that it eventually lies upon the upper surface of the gradually flattened shoot (PI. XXX, fig. 4). The distribution of the vascular bundles in these unbranched, frond-less ends of shoots, exactly corresponds with that of the frond-bearing stem ; a convincing proof that the arrangement of the vascular bundles in the stem is not dependent upon the position of the appendicular organs, or the number and form of the bundles occurring in such organs.* The two wide axile vascular bundles are entirely devoid of branches in each joint of the sympodium. At each fork they send out into the more delicate shoot vigorous branches which constitute the axile vascular bundles of the latter shoot. I have met with sympodia four feet long devoid of fronds. The distances between two furcations are very un- equal, and manifestly dependent upon the amount of nourishment being greater or less. The entire ramification of the plant, so far as it depends upon the furcations of the terminal buds, and the position of the fronds on these ramifications, correspond entirely with the pinnations of the blade of the frond. These latter are only distinguishable in their first rudiments from the furcations of the terminal bud, by the upward direction of the growth of the frond : they do not differ in their cell-succession. Buds from which new shoots may be, and are developed, are found in Pteris aquilina only on the under side of the stipes ; sometimes low down, sometimes higher up. Some- times they appear so early and are so near the place of in- sertion of the frond that at first sight they appear to belong * The same conclusion may be drawn from the condition (observed by H. v. Mold, 'Verm. Schriften,' p. Ill,) of the upper ends of the vascular bundles of all ferns, especially of those with creeping stems and bilinear phyllotaxis (see PI. XXXV, fig. 4) : although the relations in question do not elsewhere stand out in so marked a manner. The conclusion given above would be valid even if the objections raised by Mettenius against my views of the mode of ramifi- cation of Pteris aquilina ('Abhandl. K. Sachs Ges. der Wiss.,' b. yii, p. C21,) could be maintained, which, however, as I shall hereafter show, is not the case. 15 226 H0FME1STER, ON to the stem. They originate from the multiplication of one of the cells of the free outer surface of the very young frond, and are situated on its back or at the edges,* they occur long before the first rudiment of the vascidar bundles separates itself from the rest of the tissue (PL XXXII, fig. 2). The divisions of the primary cell of the new shoot follow the same rule as those of the apical cell of the mother-axis. When the development of the bud goes on slowly, the cortical tissue closes almost entirely over it (PL XXXII, fig. 3). An accurate observer however may even then discover the passage leading to the punctum vegetationis, which is merely stopped up by entangled and agglutinated scales (PL XXXII, fig. 34) : the passage is blocked up by the drying of a portion of the mucilage, which these buds of Pteris aquilina secrete in abundance. Aspidium filix-mas. — The rudimentary and apical cells of the first, and of all the succeeding fronds of this fern, divide by means of septa inclined to the edges of the frond alternately to the right and to the left ; the line in which each new sep- tum cuts the next older one, is radial to the axis of the stem. As far as can be gathered from the result of numerous observations, the first septum which appears in the cell of the first degree, is inclined to the left,f and turned towards the next older frond (PL XXVI, fig. 14). This form of division continues until the completion of the rudiment of the stipes. When the formation of the blade of the frond commences, septa make their appearance in the cell of the first degree, and in the cell next to it of the second degree, which septa are inclined alternately towards the front and the hind surface of the frond. Thus the arrangement of the cells in the growing portions of the frond is coincident _ * Upon the supposition of the adventitious bud being produced by the mul- tiplication of a cell in the interior of the tissue, for instance, a cambial cell of a vascular bundle, the gemmae of ferns would not be adventitious buds. But this definition is too narrow, and could not be employed in many of the instances which occur in phsenogams. f Following Braun's rule (' N. A. A. C. L.,' xv, p. 220,) of using the ex- pressions right and left with reference to the direction of the development of the organic body in question, I call that margin of the frond the right margin which would be on the right hand of the observer, supposing him to be placed in the longitudinal axis of the frond, with his face to the upper surface. This margin of the frond is the front margin, turned towards the ascending leaf spiral. THE HIGHER CRYPTOGAMIA. 227 with that above described in Pteris aquilina, and the mode of ramification of the blade of the frond is the same as in the latter plant (PL XXVI, fig. 8). The germ plant of Aspidium jilix-mas developes its second frond at a distance of about a third of the circumference of the stem from the first. At the point of junction of the vascular bundles of the first frond and of the first root, there is formed a vascular bundle, which, after traversing the axis for a short distance, bends off into the second frond (PL XXVI, fig. 13). The second root is developed from that part of the vascular bundle which is situated in the stem, and at some little distance beneath the place of insertion of the second frond. The third frond diverges from the second, and the fourth again from the third, at about 120° to the right, so that the fourth stands vertically over the first. At the bending-point of the vascular bundle which passes out of the longitudinal axis of the stem into the second and succeeding fronds, there is produced a vascular bundle, which, after passing along the axis of the stem for a short distance, bends off into the next younger frond. Transverse sections of the stem exhibit only one vascular bundle (PL XXVI, fig. 12). The length of the stem between each two of the first four, five, or six fronds, is much greater than between two of the subsequent fronds. The thickness of the stem increases suddenly and con- siderably above the fifth or sixth frond. This rapid growth in thickness takes place whilst the next younger fronds, the seventh to the tenth, continue in the state of buds. Owing to the vigorous and rapid peripheral development, the apical region of the stem becomes almost a flat surface, in the middle of which the outermost point of the stem pro- trudes (PL XXVI, fig. 15). Around it the youngest fronds are arranged spirallv. Henceforth the end of the stem retains this form (PL XXVI, fig. 19 ; PL XXVII, figs. 3, 4). The flattening of the terminal bud depends upon the fact that the superficial cells of the conical cellular mass divide repeatedly by septa parallel to the chord of the arcuate free outer wall — (a mode of cell-multiplication which increases continually from the apex of the cone to its 228 HOFMEISTER, ON base where it suddenly ceases, and which is accompanied by a series of divisions proportionate in number to the in- crease of the circumference of the cone and produced by longitudinal septa radial to the axis of the stem) — whilst the division by transverse septa at right angles to those chorda! longitudinal septa occurs proportionally seldom. The conical terminal bud grows upwards by the formation be- neath its entire outer surface of a layer of cells having the form of a conical covering thicker towards the base, whilst the angle of inclination of the cone becomes continually narrower. At a latter period, after the formation of the rudiments of several cycles of fronds, the longitudinal growth of the stem is so much accelerated by the active ex- tension of the cells of the axile tissue (accompanied by the formation of transverse septa in the peripheral cells) that it exceeds the previous increase in thickness. The cortical region is pushed outwards by the longitudinal extension of the middle of the stem, and passes from the form of a very blunt cone into that of a cylinder ; this complete inversion of the mode of growth is caused by the change of direction of the expansion and multiplication of the cells. The process (which is common to all stems with flat terminal buds, e. g., Polytrichum, Dracaena) is more easily seen in the slender stem-ends of the germ-plants and gemmae of Aspidiuni filix-mas or Asplenium jilix-femina, than in the stems of older individuals of the former plant which become too thick. After the stem of the germ-plant has increased in thick- ness the arrangement of the subsequent new fronds changes from the \ to the f arrangement. At the same time the distribution of the vascular bundles in the stem becomes different. At the place where the vascular bundle which passes into the last frond of the \ arrangement turns side- ways, strings of the cambium which afterwards forms the vascular bundles separate themselves in the direction of each of the three next fronds, and run parallel to the longi- tudinal axis of the stem (PI. XXVI, fig. 15). A trans- verse section of the stem at this spot exhibits three vascular bundles arranged in a circle (PI. XXVI, fig. 16). The rudiments of the vascular bundles which pass to all THE HIGHER CRYPTOGAMIA. 229 the succeeding fronds are already formed whilst the fronds are still in the condition of very young buds, inasmuch as from the place where those vascular bundles which pass to the two next adjoining older fronds bend aside to make their way out of the stem, the cells of the bud-tissue are transformed into cambium-strings as far as the younger frond. Close under the place of insertion of the young frond the two rudimentary vascular bundles unite to form a single one (PL XXVI, fig. 9) which after passing through the stipes for a short distance splits again into two (PI. XXVI, figs. 10, 11). A vascular bundle passes to the first frond from the fifth and sixth, and to the ninth from the sixth and seventh, and so on. Thus the vascular bun- dles of the young stem represent in their entirety a tubular net, with rather wide meshes,* from whose angles, simple vascular bundles pass off to the fronds. A transverse section of the stem of a seedling of about a year old exhibits five vascular bundles enclosing a pith. In the second year the plant develops itself much more vigorously. Its fronds attain a foot in length ; their arrangement proceeds normally according to the \% arrange- ment. Henceforth several vascular bundles occur in each stipes. In old vigorous individuals as many as five pass from the knot of vascular bundles which corresponds with the place of insertion of each frond. The lowest and most vigorous of these bundles — which, as it originates out of the lower angle of the knot of vascular bundles, corresponds with the single bundle of the fronds of the one-year-old plant — passes near the hinder surface of the stipes, and divides into two close above the place of attachment of the frond to the stem, at the place where the protuberant en- largement of the stipes, characteristic of Aspidium filix-mas, begins (PI. XXVII, fig. 6). Mature plants produce roots exclusively from these two vigorous bundles of the stipes. The stem, which in the first year of the germ-plant sends out all the roots, afterwards ceases to produce any. Prom the side angles of each knot of vascular bundles of the stem two thin vascular bundles pass off into the frond, and * Mohl, ' Vermischte Schriften,' p. 115. 230 HOFMEISTER, ON two rather more vigorous ones at a little distance higher up (PI. XXVI, fig. 20). Both pairs run along the protu- berant longitudinal ridges of the frond, the former pair behind, the latter in front (PI. XXVII, fig. 7). The vas- cular bundles not unfrequently anastomose in the interior of the stipes. Hence it arises that transverse sections of the latter sometimes exhibit more than five vascular bun- dles. The distribution of the vascular bundles within the stem remains essentially the same during the progress of the arrangement of the fronds, except that (as is manifest) the number of loops increases. The first frond of a cycle receives its vascular bundles no longer from the sixth and seventh, but from the ninth and eleventh of the preceding cycle ; the sixth frond from the first and the third, the eighth from the third and fifth of the same cycle, and so on. Or to state it more shortly — the vascular bundles which pass from the right to the new fronds follow (when the turn of the spiral is normal, or to the right hand) the 3-numeral fronds ; those which pass from the left follow the 5-numeral ones. Eight transverse sections of vascular bundles lie in one plane passing through the stem at right angles to the axis. In mature plants of Aspidium Jilix-mas, there is a periodicity in the development of the frond which is not found in the one-year-old seedling. The growth of the frond in the former is arrested in winter, but not so in the latter. The number of fronds which unfold in spring, and which all grow simultaneously from the end of May till October, is usually thirteen, corresponding with the number of the joints of a segment of the spiral in which the fronds are arranged. A similar state of circumstances is met with also in some other ferns, as in Asplemum filix- femina, where the number of fronds is usually eight or thirteen, and in Aspidium spinulosum and Asplenium TricJio- manes where eight fronds are usually developed contempo- raneously. As in Pteris aqitilina, the rudiments of the fronds are formed two years before their unfolding. In the first year the stipes only is formed, and in the outer- most fronds of the cycle about three or five of the pinnae. In the second year the pinnae of those fronds which are to THE HIGHER CRYPTOGAMIA. 231 open in the spring are completed in all their parts, and after the second winter's rest they are fully developed. The younger fronds of the same season follow step by step in the same development until the month of June. The commmencement of the formation of the vascular bundles takes place in the bud even of very vigorous speci- mens from the fifth-youngest frond in a backward direc- tion, and thus, far above, the point at which the longi- tudinal growth of the stem begins to exceed its growth in thickness. Thus the whole system of vascular-bundle- meshes lies at first in an almost horizontal, very flatly para- boloiclal surface, close under the top surface of the stem, and nearly parallel thereto. It is only immediately below the apex that the number of the cells of the tissue of the stem underneath and within the net of vascular bundles is increased ; lower down there occurs an expansion of these internal cells, their longitudinal diameter becoming from four to five times longer, and their transverse diameter from two to three times wider. It is only by this increase (caused by cell-expansion) of the bidk of the pith that the net of vascular bundles is lifted up by degrees and pro- jected upon a cylinder. It is easily seen by counting the cells during and after the transition of the net of vascular bundles from the form of a paraboloid to that of a cylinder, that the increase in thickness of the stem is not caused by any subsequent new formation of parenchymatal cells either within the pith or in the neighbourhood of, or be- tween, the rudimentary vascular bundles. It is only in front of the youngest rudimentary vascular bundles that a slight multiplication of the cortical tissue takes place, by di- vision of the peripheral cells (PI. XXVII, fig. 3). If any radial section be taken through the longitudinal axis of the stem the side view thus obtained of the apical cell of the terminal bud is without exception three-sided (PL XXVII, figs. 3, 4). When viewed from above the upper surface of the same cell exhibits the like shape (PI. XXVII, figs. 1, 2). Its form is therefore that of an inverted three- sided pyramid with an arched upper surface. The appearance shews (PI. XXVII, figs. 1, 2,) that this cell divides re- peatedly by septa, having three directions, and turned sue- 232 HOFMEISTER, ON cessively to one of the lateral surfaces. As far as can be judged from numerous observations, the succession of these septa one after another is to the right hand, more seldom to the left, but ahvays coincident with the spiral in which the fronds are arranged. There is yet a second point in which the relation of the apical cell to its daughter-cells is affected by the frond- spiral. The apical aspect of the top cell of old speci- mens of Aspidium filix-mas is very rarely that of an equi- lateral triangle. One of the sides is usually considerably shorter than the two others, which latter are nearly of equal length. The outline of the apical surface is normally that of an isosceles triangle. Deviations from this form may be easily traced to the disturbances caused in the older lateral surfaces of the apical cell by the growth of the adjoining secondary cells. The one side of the triangle is formed by the upper edge of the youngest side- wall of the terminal cell, and the other side by that of the oldest side- wall of the same cell. The base is formed by the side-wall intermediate in age between the oldest and the youngest. The relation of: the length of this base to the younger of the two sides is in most cases a definite one. The follow- ing series of measurements will show this. The younger of the two longer side-walls of the apical cell is the one always measured. Some of the measurements were made on the apical cells of buds which had been separated by a transverse section from the older portion of the stem, and simply cleansed from the adherent mucilage and scales. The greater part of the measurements, however, were made on the transparent membrane formed by the free outer walls of the superficial cells of the bud. These walls have a much stronger consistence than those of the inner tissue of the bud. After a little practice with the microscope it is not difficult to scrape out from the inside of the terminal bud the mass of internal parenchyma, consisting of delicate cell-walls and cell-contents, so as to leave the outer walls in the form of a connected, slightly arched membrane — ■ (the epidermis, improperly so called, of the young portions of the plant). The lines of contact of the cell-walls which have been attached to this membrane are most dis- THE HIGHER CRYPTOGAMIA. 233 tinctly marked upon the latter in the form of slightly pro- tuberant ridges, and admit of the most accurate measure- ments. Each of the following is the mean of at least five measurements which did not differ from one another by more than half a micro-millimeter.* Measurements of the apical cells of Ferns having the ^frond- arrangement. — Base. Side. Relation of the two. M.M.M. M.M.M. Aspidium Jilix-mas, Spiral right 33.6476 47.1618 1 : 1.401 33 >3 33 33 • 39.912 56.542 1 : 1.416 33 33 33 33 • 43.3104 61.0986 1 : 1.401 33 3} 33 33 • 45.2312 63.7098 1 : 1.408 33 33 11 33 46.564 66.52 1 : 1.41 33 33 >S 33 49.89 70.6773 1 : 1.416 33 S3 33 33 51.8504 73.6386 1 : 1.42 31 33 11 33 • 52.859 75.0198 1:1.419 33 33 33 33 • 55.7116 78.593 1 : 1.41 33 33 53 33 • 55.7116 79.5336 1 : 1.427 33 33 33 33 " 55.9874 78.593 1 : 1.403 33 33 33 SS • 56.542 79.824 1:1.411 „ spinulosum „ left . 36.6076 51.3022 1 : 1.401 33 33 33 33 40.1194 56.4582 1 : 1.406 33 33 33 right . 43.0526 60.3246 1 : 1.401 33 33 S3 ii ' 43.0526 60.8408 1 : 1.413 S3 33 33 33 44.0838 61.7421 1:1.4 33 33 33 left ; 52.0756 73.2152 1 : 1.407 33 33 33 right . 52.6778 74.5487 1:1.401 SS 33 33 33 52.9536 75.5692 1:1.428 Asp I. filix-fem. 33 33 • 33.26 46.564 1:1.4 a lean . . 1 : 1.4094 This proportion of the base to the sides is that of an equilateral triangle with an apical angle of 69° 13' 533", and whose angles at the base are 41° 32' 13'4"; angles which very nearly approximate to those of a triangle which is bounded by the chords of two arcs of 138° 27' 41-53' — (two successive steps of the smaller divergence of the ^ frond- arrangement) — and by the line uniting the free terminal points of these chords, which line is the chord of an arc of 83° 4' 36' 94", being the difference between the larger and the smaller divergence of the ^ arrangement. The apical angle of such a triangle is 41° 32' 18-47"; each of * 1 m.m.m. = 9-0001 millim. 234 HOIWIEISTER, ON the angles at the base is 69° 13' 50-765"; the relation of the base to one of the sides is 1 : 1*4067. The divergence of these numbers from the measurement falls within the limits of probable error.* The conformity of the angle of the apical cell of the stem with the divergence of the appen- dicular organs is not limited to the ^ arrangement. The calculated relation of the shorter side of the triangular apical surface of the terminal cell to one of the longer sides is ; In the | arrangement 1 : 1.618 1 : 1.307 1 : 1.4067 1 : 1.3683 1 : 1.3799 1 : 1.3294 8 f 5 T"3~ 8 "2T 1 8 34 2 I The observed relations are- — Base. Side. Relation of the two. Asp.filix-mas^ arrangement, Spiral right . j) ,, „ ,, (seedling) » » '> >> » » A ii „ right . » 'ST j> ,, ,, - M.M.M. 56.9738 27.8558 36.1298 M.M.M. 74.2464 36.6814 47.7134 1 : 1.307 1:1.316 1:1.3216 63.161 63.4386 86.1052 90.23 1 : 1.363 1:1.381 It would be natural to attempt to explain this pheno- menon by the supposition, that the angle which a new septum of the apical cell forms with the next older side wall, bears a relation to the angle of divergence of the frond arrangement, inasmuch as it equals the half of the latter angle. The necessary result of this would be, that * I considered it much better to calculate the angle of the apical surface lrom the length of its sides than to measure it directly with the goniometer as the former process gives a more certain result. The credibility of each method depends upon the same circumstances as those upon which, in the determination of phyllotaxis, the relative credibility of the results obtained by the direct measurement of the angle of divergence and by the calculation of the latter from the number of the turns, depends. The number of measurements might easily have been increased, but it seemed advisable to exclude all the cases in which the imperfect parallelism to the apical surface of the stem of the section separating the outermost apex of the flat bud from the remaining tissue, might have given rise to mistakes. THE HIGHER CRYPTOGAMIA. 235 'in each mode of frond arrangement following upon the | arrangement, such as •&, £ and so forth, the form of the apical surface of the cell of the first degree would be that of an isosceles triangle. Each cell of the second degree might be treated as the primary mother-cell of a frond, to be pro- duced by the further development of the cells derived from the secondary cell. This supposition would however re- quire that the four sided apical surface of each cell of the second degree, should, immediately after its production, be considerably wider on the hinder edge than on the fore edge. The excess of the length of the hinder edge over that of the fore edge would be determined by the difference between the apical angle and one of the side angles of the upper surface of the cell of the first degree. It would necessarily bear the same proportion to the second youngest side of the apical surface of the compound figure formed by the cell of the first degree and the youngest cell of the second degree, as the sine of the apical angle bears to that of one of the side angles. Consequently each cell of the second degree must, immediately after its production, be wider at the hinder end than at the fore end to the following- extent in each respective case, that is to say, — in the farrange- ment to the extent of about the whole length of its front wall and of the oldest wall of the apical cell which repre- sents its prolongation, — in the I arrangement to the extent of something more than the half (0'5412) of this length, — in the T53 arrangement to the extent of about T70 (0*70081) of the same. Observation entirely upsets the above supposition. It is true that in older cells of the second degree, especially in those which are already several times divided, the outer side wall normally diverges from the inner one. But the younger the cells of the second degree which are subjected to examination, the more nearly do their side walls approach to parallelism, until at last it is manifest that the earliest septa of the cell of the first degree appear exactly parallel to the oldest side wall of the same cell (PI. XXVII, fig. 1). It is plain from this that in point of fact the supple- mentary expansion and the multiplication of the cells of the second degree proceed step by step from back to front 236 HOFMKISTER, ON (by which gradual advance the broken, sharply-angular suc- cession of these cells is converted into a spiral) but that there is no perceptible divergence of the newly formed septa of the cell of the first degree from the oldest opposite side wall of this mother-cell. There is a second series of facts which militates not less decidedly against the above assumption, viz., the occurrence, although a rare one, of apical surfaces of cells of the first degree which exhibit angles not corresponding with those of the frond-arrangement. The following instances have been observed, and they are the only ones obtained in a long series of investigations : — Length of Length of 1 the oldest the youngest side wall of side wall of Relation of the apical the apical cell. the two. cell. Asp. spinulosum, w arrangement, Spiral right 60.583 83.0116 1:1.37 " )> >> 33 33 33 56.3293 76.30S8 1:1.355 >> }> >j 33 33 left 52.7201 68.783 1 : 1.307 33 33 33 33 33 right 45.5017 52.4623 1 : 1.152 33 33 33 33 33 left 59.5518 61.0986 1 : 1.026 „ filix-mas, „ »> 13 right 55.427 73.9886 1:1.335 s 33 33 TTT 33 33 33 71.1528 88.1676 1 : 1.239 „ spinulosum, f 33 33 33 69.863S 75.7932 1:1.088 „ filix-mas, -£$ 33 33 )) 88.4254 85.074 1:0.961 >> 3> J> 33 >> 33 69.0904 63.161 1:0.913 In the greater number of these irregularly shaped cells their size is very remarkable. In none of the foregoing tables did the base of the triangle attain the length of 64 m. m. m., a length which is here often surpassed.0 But the measurements of those apical cells in which the length of the oldest side-wall considerably exceeds that of the youngest, are very instructive. Taken in connexion with the fact, that in by far the greater number of instances the angles of the apical cell correspond with the divergence of the frond-arrangement, these phenomena indicate that after each division the apical cell does not become enlarged equally in all directions so as to attain the size which it had before the division, but that the expansion which THE HIGHER CRYPTOGAMIA. 237 ensues takes place, if not exclusively, at all events prin- cipally, in a direction at right angles to the septum last produced. This septum which, at the instant of one divi- sion, forms one of the sides of the isosceles triangle repre- sented by the upper surface of the cell of the first degree, is, until the next division, far surpassed in longitudinal growth by the two other side walls of the apical cell, so that the latter then constitute the sides and the newly- formed septum the base of the triangle. The new division is produced by a septum which is parallel to the second side wall of the apical cell, which side-wall at the time of the preceding division was the longer one, and which in the mean time has become elongated and displaced. The diagram given in PL XXXII, fig. 5, of the mode of succession of four such divisions of the apical cell of a bud with the /a arrangement, will explain the above sugges- tion. The triangle enclosed by the lines 1, 2, 3, represents the apical cell before the first of these divisions ; the line 4 represents the course of the dividing membrane. This cell (which we will designate with the figure II until the next division) now expands to the left : the line 4 now be- comes the base of the triangle ; the line 1, increased by the line ln becomes one side of the triangle, and the line 3, displaced to 311 and lengthened, becomes the other side of the triangle. The next division is represented by the line 5. This line becomes the base of the upper surface of the cell, which is enclosed by the lines 3n, 4, and 5, and which expands again to the left. By this expansion the line 3 becomes the line 3m, and the line 4 becomes 4m. The line 6 represents the third division. The apical cell is now first bounded by the lines 4, 5, 6. By a fresh expan- sion of the cell the line 5 is increased by the line 51V, 4 is shifted to 41V, 2 to 2IV, and 1 is extended to 1IV. PI. XXXII, fig. 6, exhibits the somewhat complicated mode of arrangement and displacement of the cells of the second degree after three more such divisions of the apical cell. All the above facts can easily be brought under the one point of view of the above supposition. The latter explains 238 H0FME1STER, ON the frequency of the correspondence in form of the upper surface of the cell of the first degree with the frond arrangement, as well as the rarity of the deviations from this form. Moreover, the observation confirms the conse- quent backward curvature of the lines uniting the project- ing angles (which are turned to the same side) of the dif- ferent courses of the successive cells of the second degree around the axis of the stem ; — which lines represent three similar turns of the frond-spiral. The above opinion is further supported by the fact, that the expansion and dis- placement supposed to occur in the apical cell, must neces- sarily follow from the enlargement and multiplication, progressing gradually from the older to the younger ones, of the cells of the second degree. The marginal angles of the lateral surfaces of the cell of the first degree, must, in the direction of the ascending spiral which represents the course of the divisions, become more acute at the fore edges, and more obtuse at the hinder ones, if — as observa- tion proves — the multiplication of the older cells of the second degree in the direction of a tangent to the stem is more active than that of the youngest cells. In this process the apical cell may be looked upon as to a certain extent passive. The supposition of a high degree of expansive and for- mative power in the walls of the young cells of a portion of a plant in process of development, is indispensable for the purpose of explaining the change in the position and form of the individual cells, which is caused by the growth of the entire portion of the plant, and by the influence of the expan- sion (and the multiplication of the older cells and masses of cellular tissue) upon the younger ones, and conversely. In the terminal bud of ferns expansion and multiplication of the secondary cells, and of the groups of cells produced by their divisions, advance in an ascending spiral from below up- wards. In the neighbourhood of the apical cell this expan- sion occurs at an early period (and is consequently more advanced and productive of greater results) in the oldest wall which forms the base of the upper surface of the cell, and in the next oldest, whose margin forms the penultimate side of that surface. The growth of the apical cell, which, between THE HIGHER CRYPTOGAMIA. 239 each two divisions always increases to nearly the original size, become especially active in the direction of the mar- ginal angle formed by these two side- walls. This will cause its form to vary more and more in the manner above pointed out, until the relation between the angles required by the hypothesis is attained. It is easy to imagine that any excess of aperture is prevented by the proportion of the rapidity of the progress of the multiplication of the older secondary cells to that of the youngest. In the course of the long inquiries leading to these results, I met with only one isolated fact which militated against the conclusions arrived at. I found the apical cell of a terminal bud of Aspidium spinidosiim, the base of whose upper surface measured 4T248 m.m.m., and each side 97*808 m.m.m. The stem, which had the left-handed T| arrangement of the fronds, was growing at the edge of a ditch, amongst a mass of briars, being half buried in the earth, and directed downwards : the joints of the stem were unusually elongated. It is probable that the plant was in an abnormal, perhaps in a diseased condition. The two-edged form of the apical cell, and the bilinear arrangement of the fronds, of Pleris aquilina, have been already observed upon. The same coincidence is always met with (as far as present observations extend) in Niphobolus rupestris and N. Lingua, in Polypodium punctu- latum, P. cymatodes, and P. aureum, and very frequently in P. vulyare and Dryopteris. The determination of the cell-succession in the apical region of the leaf-buds of phscnogamous plants is attended with considerable difficulties. The minuteness of the ele- mentary organs is the least obstacle ; a more formidable one, especially in the Coniferse and Dicotyledons, is the very early occurrence of rapid and vigorous multiplication of the secondary cells of the flat end of the bud. It is not always that the terminal cell of the bud can be ascertained with certainty. Where however this was done the form of this cell corresponded with the phyllotaxis ; it was two- edo^ed in the grasses {Sccale cereale, Phray mites arundinacea) and in species of Iris ; and often of the same shape in trees with decussate leaves {Acer, Frawinus, Cupressus). Here 240 HOFMEISTER, ON however cases occurred, though less frequently, of tri- angular upper surfaces with a very acute apical angle. These irregularities possibly depend upon the fact of the occurrence in each internode of a gradual transposition, a deviation of about 90°, of those septa of the apical cell of the bud, which are turned towards the surfaces of the leaves. Trees with imperfect 3-numeral phyllotaxis always ex- hibited three-sided apical cells with one shorter edge. In Robinia Pseudacacia (phyllotaxis |) the following measure- ments occurred : — The base of the triangle. 9.9288 m.m.m. 10.121 9.875 One of the sides. 15.4448 = 1 : 1.555 10.2936 = 1 : 1.689 15.9975 = 1 : 1.62 Mean = 1 : 1.634 This result corresponds as nearly with the relation re- quired by calculation, viz. 1 : 1*618, as could be expected, considering the errors in measurement likely to arise from the minuteness of the objects. Even if the first of the above measurements may not be attributed to the dis- placement of the apical cell between two divisions, it would only be necessary to introduce a correction of about ^ millimeter in the first, and the same in the second (where the proportion is too large), in order to make the observed measurements correspond with the calculated ones. The following are farther measurements of apical cells : — — Base. Side. Relation of the two. Pinus Abies, phyllotaxis A turned to M.M.M. M.M.M. the right 13.79 18.7544 — 1 : 1.36 " » » 15.8509 21.5124 = 1 : 1.3566 » „ „ H turned to the right .... 14.6174 20.4192 = 1 : 1.397 Pinus Balsamea, phyllotaxis -$i turned to the right 13.8451 19.0302 = 1 : 1.375 » j) » 14.3416 19.488 = 1 : 1.359 » >> » 13.5422 18.4015 = 1 : 1.363 Zamia longifolia, phyllotaxis -^ turned to the right 27.58 38.612 = 1 : 1.4 THE HIGHER CRYPTOGAMIA. 241 The first division — at right angles to the free outer sur- face— of the cells of the second degree oiAspidium filix-mas and A. spimdosum is produced sometimes by a septum parallel to the front surface, i. e., the surface by which the cell of the second degree is connected with the cell of the first degree (PI. XXVII, tig. 2, PI. XXXII, fig. 4), and some- times by a longitudinal septum meeting the front wall at an angle of about 70° (PI. XXVII, fig. 1). In the former case the second mode of division follows upon the first, in the latter case the first mode of division follows upon the second ; the final result is the same in both cases. The further divisions of the cells of the terminal bud are subject to not less stringent rules. The tendency to transform the zigzag line of succession of the generations of cells resulting from each cell of the second degree into an uniformly ascend- ing spiral line, manifests itself especially in the frequent occurrence of three-jointed groups of cells which originate in the following manner — the septum produced in a cell of the outer surface is parallel to no one of the side walls, but cuts two of the side walls of the mother cell which form an edge, in such manner that the latter is divided into a smaller daughter-cell with a three-sided outer wall, and a larger cell with a four-sided outer wall. The latter cell is divided again by a septum almost at right angles to the one last formed. Instead of one cell of the nth degree there are now three : one of the ^+ith and two of ^+2th degree. The cell-succession of the terminal bud, and the form of the terminal cell which is possibly the result not the cause of such cell-succession, are manifestations of the same power of growth, by wliich the arrangement of the fronds on the axis is determined. After long extended and often re- peated observations of the attendant circumstances, the conclusion will not be premature, that the power by which the form of the growing portions of plants is determined, is manifested in the details of the cell-multiplication by so much the less in proportion as the organs in question are composed of a greater number of cells. The main direc- tions in which the cell-multiplication takes place are fixed : the number however and mode of succession of the cell- 16 242 HOFMEISTER, ON divisions in these directions varies within rather wide limits.* The younger portions of the bud of Aspidium jilix-mas are envelopecl in transparent mucilage as is usually the case with all buds.f Owing to the very imperfect exclusion of the outer air from the terminal bud of this fern, in which the punctum vegetationis is only covered by the connivent scales of the older parts, this mucilage is often partly dried up, and forms a structureless membrane, granular on the outside, covering the top of the bud ; precisely similar to that which is seen on the youngest parts of the fronds of Anthoceros.| In order to obtain a clear view of the top of the bud it is necessary to remove this membrane, which is a laborious and uncertain operation. The small scales (whose development differs in no essen- tial particulars from that of the similar organs in Nipho- bolus rupestris to which we shall afterwards refer), make their appearance on the terminal bud very far above the point at Avhich the cellular increase of the stem in thickness terminates, but never above the place of origin of the youngest frond (PL XXVI, fig. 14; PL XXXII, fig. 4). This holds good in Aspidium as well as in Pteris, Poly- podium, &c. According to Nageli's definition of leaves and hairs, § the scales would undoubtedly belong to the former, as I also formerly assumed to be the case.|| On the other hand a conclusive method of distinguishing * This conclusion is the same as that which I arrived at on a former occa- sion from observations on Isoetes (see vol. ii of the 'Abhandl. der K. Sachs. Ges. d. Wiss.' p. 161). The statement there made, that all the septa — turned in one of the three directions — of the apical cells of the three-furrowed IsoeteEe are at right angles to a plane passing through that indentation of the stem which is nearest to them, is too positive and general. Nevertheless the obser- vations, the number of which was limited by the paucity of the materials, certainly show, that all the septa seen were turned towards one of the indenta- tions ; no one of them was turned towards the space intermediate between two indentations. This fact may have some connexion with the high ratios of the numbers representing the phyllotaxis of those species of Isoetes. f See 'Vergl. Unters./ p. 82, note. % See 'Vergl. Unters./ PI. i, figs. 8, 9. § * Zeitschr. f. Wiss. Botanik.,' Heft 3, 4, p. 185. The leaf is formed on the outside at the top of the stem, close under the apical cell, before the growth in thickness by peripheral cell-formation is ended The hair, &c, is formed on the outside on an epidermal cell by growth of the latter after the termination of the peripheral cell-formation || 'Vergl. Unters.,' p. 87. THE HIGHER CRYPTOGAMIA. 243 between the two is arrived at, if the difference between hairs and leaves is sought for in the facts that the youngest hairs are never seen below the first visible rudiments of the leaves, and that leaf-formation on the axis always precedes the formation of hairs. By trusting to these characters the observer will never be in doubt, in any case where the axis of the plant exhibits both these forms of appendicular organs. The scales of ferns therefore, as well as the hairs in the buds of mosses and liverworts, fall under the definition of hairs, and the fronds consequently under that of leaves.* The formation of a frond commences thus — one of the superficial cells of the terminal bud, distant from the next older frond by the angle of divergence of the frond- arrange- ment increases in size, and becomes arched outwards in a papillate manner (PI. XXVII, fig. 4; PL XXXII, fig. 4), In this cell there commences a series of divisions which are repeated continually in the apical cell by means of septa turned to the right and left towards the future margins of the frond. The secondary cells multiply in nil three directions more vigorously on the hind surface of the frond, so that the latter is converted into a somewhat slender cone bent over towards the fore part. Septa are now produced in the apical cell, turned towards the fore and hind surfaces of the frond, and alternating with others turned towards the lateral margins. The further formation of the frond, the development of its blade, takes place in the manner pointed out in Pteris aquilina. In the mature plant of Aspidium jilix-mas roots (as we have already said) are no longer formed on the stem itself, but exclusively on the protuberant swollen portion of the * Two of the main grounds formerly adduced to prove that the scales were of the nature of leaves, and the fronds of the nature of branches, have been set aside. Kunze's statement, that the delicate bodies, resembling the fronds of Trichomanes, found at the base of the stipes of Hemitelia capensis are transformed scales, is erroneous, as has been already observed. They have nothing in common with scales as may be seen at once by the examination even of a dead stem. The course of the vascular bundle within them is con- clusive to show that they have been formed in the earliest stage of the frond, even before the commencement of the formation of the blade of the latter. I have latterly arrived at a very clear view of the growth in the OphioglosseEe. I formerly thought that it must be considered to consist of a successive series of adventitious buds. I now find that the Ophioglossese agree essentially with the Polypodiacese. 244- HOFMEISTER, ON stipes. They originate here from the vascular bundles which run on the hind side of the stipes, parallel to the longitudinal ridges of the latter. Usually two roots are formed on each stipes. Every longitudinal and transverse section of the root-cell of the first degree appears triangular. Its form is that of a low three-sided pyramid. It divides by means of a concave septum turned towards its slightly convex basal surface, and by this means lenticular cells are formed, each of which becomes the mother-cell of two of the cap-shaped cellular layers of the root-cap. The len- ticular cell divides by longitudinal septa into four cells standing cross-wise (PL XXVII, fig. 10), after which trans- verse septa are formed. In the middle of the circular cellular layer, the further division by longitudinal septa occurs more rapidly and more frequently than at the edges, by which means the cellular surface assumes its cap-like shape. Between the older of these cellular layers, whose outer walls become very much thickened, intercellular spaces filled with air make their appearance ; this is the first commencement of the falling off of the cellular layers of the root-cap, which decay by degrees from the outside. Each division which is produced by means of a concave septum turned towards the basal surface of the cell of the first degree, is followed by three divisions of the latter, by means of septa successively parallel to each of its three lateral surfaces. The three cells of the second degree thus formed, and which stand in a triangle, divide by means of longitudinal and transverse septa, the division being more active in that portion of them which is more distant from the longitudinal axis of the root. The short-celled tissue here formed becomes the cortical layer, whose early growth is afterwards overtaken by the rapid longitudinal expansion of the axile cellular tissue of the root during the transfor- mation of the latter into the central vascular bundle * It is only in very rare instances that the terminal bud of the stem o>i Aspidium filix-mas divides by true forking of the * In consequence of my having examined seetions which were not truly axile, I was led to assume that the lenticular cells of the interior of the root of Equisetum variegatum (' Vergl. Unters.,' pi. xviii, fig. 3), as well as the primary cells of one of the layers of the root-cap, were root-cells of the first degree. THE HIGHER CRYPTOGAMIA. 245 pmictum vegetationis. The multiplication of shoots by means of adventitious buds is proportionably more frequent. These buds always originate on the back of the stipes, at the place where the protuberant swelling of the latter passes off into the more slender upper portion. After the removal from the stipes of the thick covering of scales, the earliest conditions of the adventitious buds mav be seen in the form oi a disk surrounded by an annular furrow and having a slight protuberance at its middle point which represents the apex of the new axis in process of formation. Somewhat later, other protuberances, being the rudiments of fronds, are seen, arranged in a circle round the central one (PI. XXVII, fig. 5). Whilst on the mother- plant the new shoot begins to send forth roots independently (PI. XXVII, fig. 6). The vascular bundles which pass to it from the vascular bundles of the frond on which it is produced, unite at its place of attachment so as to form a closed ring from which their distribution in knots answering to the insertions of the fronds commences (PI. XXVII, fig. 7). Such adventitious buds are formed on vigorous plants in fertile habitats at about every twelfth frond, and much more frequently in plants growing in dry situations.* Aspidium spinidosum comports itself in all its parts like Aspidium filix-mas. The adventitious buds are here met with very near the base of the stipes. The scales bear at their apices, and frequently also on the teeth of the margin, very swollen, oval, or pear-shaped cells with mucilaginous contents ; a phenomenon which is also seen in Aspidium Oreopteris, Asplenium filix-femina, Struthiopteris germanica and other ferns. Asplenium filix-femina; Asplenium Bellangeri; Struthiop- teris germanica ; JVep/trolepis imdulata ; Nephrolepis splen- dens. — The above-named ferns agree entirely in the principal features of vegetation, viz., in the form and mode of multi- plication of the cells of the terminal bud ; in the position of the frond-cells of the first degree with regard to the apical cell of the terminal bud ; and in the arrangement of the * It is probable that Schleiden had these buds in view when he spoke of this fern as having axillary buds (' Grundziige ' 2 Aufi., vol. ii, p. 87), which in Aspidium filix-mas, as in all European ferns, are absolutely unknown. 246 HOFMEISTER, ON vascular bundles in the stem. Asplenium filix-femina is distinguishable by the more slender form of the terminal bud, the growth of which in thickness terminates at the fourth set of cells, (reckoning downwards and sideways from the apical cell), the produce of one of the cells of the second degree, so that the frond-less apex of the stem is elevated considerably above the earliest rudiments of the fronds (PI. XXXIII, fig. 2). A further peculiarity of this plant is that only one vascular bundle enters each stipes from the upper angle of each knot of vascular bundles. For a con- siderable distance this bundle is simple ; it then divides into two, and further up into several strings. The status which in Aspidium jilix-mas only occurs whilst the plant is young, that is to say only in the one year old plant, is main- tained here during its whole life. Underneath the place where the vascular bundle of the stipes exhibits its first ramification, one root is normally produced ; each frond has only one, which is developed in a plane passing through the median line of the frond. This circumstance greatly facilitates the investigation of the earliest stages. In well- made longitudinal sections, close outside the rudimentary vascular bundle of the frond, there may be seen the primary cell of the appurtenant root, by the multiplication of which in the manner pointed out in Aspidium flix-mas, the root-cap and the permanent cylindrical portion of the root are pro- duced (PI. XXXIII, figs. 4, 5). The tissue of both halves of the growing root, as well as the cells of the root-cap, are, whilst in this early state, in intimate parenchymatal con- nexion with the cortical cells of the stipes. Afterwards, shortly before breaking forth from the hind surface of the stipes, the boundary between the root-cap and the cells be- fore it becomes sharply defined (PI. XXXIII, fig. 6) with- out however any rupture of the tissue, or the appearance of any inter-cellular space. The few cellular layers of the stipes anterior to the apex of the young root, are gradually displaced and dissolved, not broken through; the cuff- like margin, which is formed from the cellular tissue of the mother-portion of the plant, and which is so remarkable on the adventitious roots of many Monocotyledons, is wanting here. THE HIGHER CRYPTOGAMIA. 247 Adventitious buds are very rare in Asplenium filicc- femhia ; it would seem that they never occur when the plant is growing naturally. However at the base of the stipes of a frond which had been torn off and kept for some time in a closed bottle in moist air, I saw adventitious buds produced underneath the place of attachment of the roots (PL XXXIII, fig. 1). On the other hand the forking of the apex of the stem by division of the frond-less terminal bud is in this fern quite a normal process ; it is the usual asexual mode of multiplication of the plant which it would seem occurs at tolerably regular intervals. The observer will seldom fail to find the bifurcation of the stem in old plants ; specimens often occur with from four to nine heads. In Struthiopteris germanica * the formation of numerous adventitious shoots is added to the other peculiarities already mentioned.! As in Aspidium spinulosum, they originate on the outside, at the base of the stipes, close above its in- sertion into the stem. The first commencement of their formation occurs unusually early, long before that of the blade of the frond. In their first development they are directed obliquely downwards (PI. XXXIII, figs. 7, 8). The copious production of adventitious buds on all parts, even on the ramification of the blade of the frond, is very remarkable in Asplenium Bellangeri. The mode of develop- ment is essentially the same as in Aspidium filix-mas. Here also the new shoots do not originate in the interior of the tissue of that portion of the plant which produces them, but outside, on its outer surface. It is well known that the species of Nephrolepis send forth long thin runners, whose ends, in Nephrolepis undu- lata and N. tuberosa, swell into knobs, f The stolons originate from adventitious buds, which are produced apparently on the stem, at that part of the base of the frond which amalgamates with, and forms a bark to the stem (PI. XXXIV, fig. 3). The runners are one third of a line thick, and sparingly clothed with pale yellow scales ; * On the distribution of the vascular bundles, see Schacht, ' Pflanzenzelle,' PI. xv, fig. 3—6. f See Braun, ' Verjiingung,' p\ 115. + Kunze, 3 ~ 1 i— i a b 4 5 4 4 4 3 4 4 8 4 4 7 32 8 4 5 8 6 6 7 4 7 8 4 4 7 40 9 b a 4 a 4 b 8 a * « 4 In Equiselum palustre (a vigorous shoot) . . . • The same species, a very delicate shoot ..... Eq. limosum (a shoot formed at the end of May) Eq. limosum (a vigorous autumn shoot) ..... Eq. prafeu.se (a vigorous autumn shoot) ..... Eq. variegutum (a delicate shoot) The number of cells of the trans- verse diameter in a vigorous autumn shoot of Eq. limosum amounted to . In a delicate shoot of Eq. variega- tum to . 4 4 4 4 4 3 22 5 7 9 10 7 6 7 4 9 8 4 4 7 48 12 8 12* 17 7 7 13 4 4 10 7 4 10 8 13f 58 12 ... ...12 ... This comparison appears at the first glance to be quite at variance with the common notion that the cells of the stem are multiplied in a longitudinal direction only at the apex of the organ. This opinion is untenable in any extended sense. As far as observations go there are no plants, from the mosses upwards, in which the cells of the stem are mul- tiplied in a longitudinal direction exclusively by division of the terminal cell. Generally the division of the daughter- cells of the cells of the second degree by septa at right angles to the longitudinal axis, plays an important part in the production of longitudinal growth. On a more accu- rate examination, however, the above table, shows that there is a special tendency to multiplication in the cells of those parts of the leaves which have been already some time formed. It is only the cells of the cortical layers (which my figure PI. XXXV, fig. 1, shows clearly to have been produced by the multiplication of the cells of the leaf- rudiment) which exhibit the long-continuous longitudinal * Those of the epidermis 14. This fourth internode exhibited the first indications of annular vessels, 5 — 6 rings in each of the cells of a longitudinal row adjoining the pith. f A trace of annular vessels was first visible in the 15th internode. THE HIGHER CRYPTOGAM [A. 273 multiplication extending in many cases even beyond the twelfth internode. In the cells of the pith only" a single transverse division occurs . From the fact that the thick- ness of the shoot is in such manifest connexion with the period of the occurrence of the transverse division of the pith-cells, it may perhaps be concluded that the immediate operation of the outer air upon the tissue of the growing- stem has an especial effect in promoting transverse division in the cells. The formation of the epidermis of the young stem-joint is contemporaneous with its longitudinal extension, with its appearance above ground, and with the formation of nu- merous chlorophyll bodies in the cells of its circumference. All the cells of the outer surface divide twice by transverse septa, then by longitudinal septa, and lastly by septa paral- lel to the outer surface. A double layer of cells is thus produced, enclosing the circumference of the stem, the cells being one-eighth the size and eight times as numerous as those of the next inner layer. The outermost are trans- formed into the epidermis ; every second cell of the epider- mis of the above-ground shoots becomes the mother-cell of two stomatal cells ; these as well as the tabular cells of the epidermis exhibit upon the outer surface very regular pro- jections the form of which is constant for each species (PI. XXXVI, fig. 2). These projections contain more siliceous matter than any other part of the stem. The differentiation of the vascular bundles from the surrounding tissue commences a short time before the for- mation of the epidermis. The first commencement of the vascular bundle consists in the appearance of annular fibres in a vertical row of cells the position of which answers exactly to one of the tips of the next higher leaf. From five to six of these annular fibres occur in each cell (PI. XXXV, fig. 13). A plane passing through the middle of the tip of the leaf cuts the string of cells of the stem-joint which bears the leaf, in each of which cells annular fibres are formed. The horizontal septa which separate the ring-bearing cells from one another arc very soon absorbed, and a circle of annular vessels traversing the entire length of the stem- 18 274 IIOFMEISTER, ON joint is thus produced. At the time when the annular vessel becomes continuous a multiplication commences in the neighbouring cells — those situated in front (towards the outside) and to the side — by means of vertical septa alternating with radial septa and with septa parallel to the periphery of the stein (PL XXXVI, fig. 1). Thus a thick string of cambial cells is produced in which more annular vessels (with much narrower rings) are shortly afterwards formed in a similar manner, and where at a much later period spiral vessels are also formed. In the developed internode this string of cells represents a closed vascular bundle. The tips of each leaf and the corresponding vascular bundles of each stem-joint alternate with those of the next lower one. Soon after the first separation of the vascular bundle from the surrounding tissue of the stem — which separation takes place whilst the vascular bundle has still the appearance of a string of cambial cells and exhibits only a single annular vessel on its inner side — the cells of the node from the base of the vascular bundle as far as the two adjoining ones of the next lower stem-joint are trans- formed into short spiral cells arranged in a moniliform manner ; the cells which adjoin these strings in a lateral and outward direction are transformed into a thin layer of cambial cells which at a later period also take part in the formation of vessels. After the commencement of the formation of the vascular bundle of the stem the corresponding leaf-tip exhibits the transformation of a string of cells into a vascular bundle traversing its median longitudinal line. The first vessels which appear in the leaf are elongated, narrow, spiral vessels. The vascular bundles of the leaf attain only a slight thickness. The distance from the middle point of the stem at which the formation of vascular bundles commences — in other words the bulk of the pith and the number of leaf- tips and the (corresponding) number of the vascular bundles of the internode which bears the leaf — is very variable according to the activity of the growth of the shoot, and according to the number of its diametral cells. In thin shoots of Eq. THE HIGHER CRYPTOGAMIA. 275 variegatum m&pafastre the number of cells in the diameter of the pith is only 6 ; in vigorous shoots of Eq. limosum it is 40. The number of leaf-tips and vascular bundles appears not less variable ; in the main shoots of Eq. varie- gatum it is 7 j in Eq. palustre 7 — 10 ; in Eq.pratense 10 ; in Eq. limosum 10—20. Most striking differences in this respect are found even in the axes of different orders of one and the same shoot. The connexion between the cells of the pith of all the indigenous (German) species of Equisetum is very soon dissolved. The numerous intercellular spaces become filled with air. The cells of the pith are soon unable to keep pace with the longitudinal growth of the periphery of the stem. All connexion between the pith-cells ceases, they are torn from one another, they become shrivelled, and in a short time disappear altogether with the exception of a flat double layer of cells in each internode which lasts as long- as the stem itself. Thus there is produced in each inter- node a central pith-cavity covered above and filled with air, having smooth side walls and a base rough with the debris of the pith- cells. In just the same way — by the separation of a string of cells from the adjoining tissue, by the early cessation of the multiplication of these cells, and by their shrivelling and desiccation — an air-cavity is produced, in Equisetum limosum, around each vascular bundle; and ultimately by the decay of the central por- tion of the vascular bundle, a narrow air-cavity is formed in the interior of each of them. Normally, the terminal bud of the Equisetaceae never ramifies. There is hardly any other group of plants which exhibit such a well-defined, exclusively apical, growth. Ramification is caused solely by adventitious buds. These are produced in definite positions, viz., in the an- nular locus of insertion of the sheathing leaf ; each adventi- tious bud, with rare exceptions, being seated under the angle between each two leaf-tips. The rudiment of the adventitious bud appears long before .that of the vascular bundles of the same internode. In the autumn shoots of Eq. pratense which are developed in the following spring, a cell, situated in the defined position at the base of the 276 HOFMEISTER, ON leaf (often of the third or fourth-youngest leaf), and in the second or third layer beneath the surface of the latter, becomes distinguishable from the neighbouring cells (which often already contain chlorophyll), by its increase in size, and still more by its colourless thickly mucilaginous contents. This cell often lags behind its neighbours in longitudinal growth, in consequence of which its connexion with the cells above it and at its sides is dissolved. Division soon commences in it, and is repeated in different directions in rapid succession in the terminal cell. (PL XXXV, figs. 1 1 , 12). Thus a cell-multiplication is set on foot which corre- sponds in all respects with the preceding multiplication of the apical cell of the terminal bud. The presence of the adventitious bud is soon indicated by a protrusion of the outer surface of the stem close under the place of insertion of the leaf. Ultimately by further longitudinal growth it breaks forth from the under-side of the sheath-like leaf. The adventitious buds of Equisetum have the peculiarity of being able, under certain circumstances, to remain long dormant, a peculiarity which they possess in common with the adventitious buds which arc produced in mosses and phrenoganis upon the outer surface of the young stem in the axils of leaves. They often pass the greater portion of a period of vegetation in the most rudimentary condi- tion, consisting of one or at most of a few cells. This is the case with the adventitious buds of E. pratense, palustre, and limosum, which are destined to reproduce the species. Although in spring numerous thin branches break out from the base of the leaf-sheath of the middle and upper part of the above-gronnd shoots, the number of which branches is usually the same as that of the leaf-tips, yet the adven- titious buds of the lowest internodes — those which are buried in the earth — remain entirely dormant until late in autumn. At that time, however, one only of the buds of each of those internodes developes itself but with a strength and activity which far exceeds that of the subter- ranean branchlets. Individual internodes of the lower subterranean portion of the main shoots of Eq. arvense become swollen, whilst THE HIGHER CRYPTOGAMIA. 277 the cells of the tissue which surrounds* the circle of vas- cular bundles multiply vigorously. Vigorous adventitious buds are formed at the base of the rudimentary leaf of such internodes ; seldom more than two in the same internode. The cellular tissue of the swollen internodes contains starch and a good deal of sugar, I believe not crystallized. The different habit of the species of Equisetum depends upon the relation of the adventitious lateral shoots to the principal shoot. In all the above-named species (arven.se, pratense, variegatum , liyemcde, pain -sire, limosum), the lowest leaves of those shoots which have completed their subterranean development, send out vigorous shoots destined for develop- ment in the following season, a process which brings to mind the buds which occur in the cataphyllary region of many phamogams. These shoots are the least developed in Eq. arvense ; they are of an elongated cylindrical form, and very beautiful and vigorous in Eq. jpratense and limosum. In the latter species they protrude, even in autumn, for a distance of several inches from the base of the sheathing leaves ; in JEquisetum palustre they appear at the beginning of spring; in Eq. hyemale at the end of April. Those of Eq. limosum deserve a closer investigation, not only on account of many peculiarities dependent upon habitat, but also on account of the injury produced by its abundant growth in the richest water-meadows of North Ger- many, where the hay is frequently uneatable from the ad- mixture of numerous shoots of the Equisetum. As in the other species of the genus, the lower part of each shoot (unlike the portion above ground), does not die until the autumn. The epidermis of this portion of the stem assumes a beautiful reel-brown colour; from one to three shoots, destined for development above ground in the following- year, burst forth in an upward direction out of the hollow cylindrical leaves, whose upper portion dies and withers. The epidermis of these winter shoots is of the colour of ivory, and the tips of their leaves of a chestnut-brown. If the shoots are exposed to the light, chlorophyll is developed, even in autumn, in the cells of the circumference. Be- * Compcire Bischoff ' Krvptogamische Gewachse,' Nurnb., 182S, Heft i, p. 29. 278 HOFMEISTER, ON sides these shoots others are developed here and there on individual joints of old stems : the latter have a lateral, not an upward direction ; their colour in the young state is a deep citron-yellow, and their leaf-sheaths are of a deep black-brown. Unlike those first described, they are not blunt at the top, but the connivent tips of the sheathing leaves of the terminal bud form a sharp apex. These shoots are the foundation of the creeping rhizome, and some- times attain a length of twenty feet. When they emerge from the leaf-sheaths of the mother-shoot they are of the thickness of a slender goose-quill, but afterwards by expan- sion of their cells, and by gradual increase in the number of the cells of the new internodes in a diametral direction, they attain from half to three-fourths of an inch in thick- ness. From the bases of their leaf-sheaths a few shoots are produced separated from one another by considerable in- tervals (by several internodes, which produce no adventitious buds), and which are destined partly for development above ground, and partly for the formation of new Rhizomes. In those species of Equisetum which are found in damp localities away from the light, a girdle of adventitious roots is formed at each node of the stem, on a level with the septum which traverses the pith cavity, and close under- neath the rudiments of the adventitious buds. They originate close underneath the bark, immediately below the lower ends of the vascular bundles of the next superior internode, and consequently meet the upper ends of the septa which separate the cortical air-cavities of the next lower internode. In the lower nodes of the vigorous autumn shoots one at least, usually two, and often three such adventitious roots are formed close to one another. At an early period the cells of that portion of the partition wall of two cortical air-cavities which leads from the adventitious roots to the convergent prolongations of the vascular bundle are transformed into a single vascular bundle traversed by numerous short spiral vessels. The origin of these thick vascular bundles, which are attached to the spreading prolongations of the vascular bundles of the internode, renders the course of the vascular bundle of the stem within the node quite indistinct ; they THE HIGHER CRYPTOGAMIA. 279 may have given rise to the opinion that the vascular bundles of the stem of the Equisetacese unite in each node to form a confused mass of tissue.* The normal mode of cell-multiplication in the pimctum vegetationis of the adventitious roots is identical with that in Aspidiumfilias-mas. The cell of the first degree, whose continuous division is the cause in the first instance of the growth of the root lies in the interior of the tissue, nearly above the apex of the root. Its form is tetrahedral. It divides by septa of which three in succession are each of them parallel to one of the three lateral surfaces, and of which the fourth forms the surface of a segment of a sphere seated upon the basal surface which is turned towards the apex of the root. In this way sets of four cells of the second degree are formed, of which the three upper, which adjoin the cell of the first degree, take part in the forma- tion of the permanent portion of the root ; the fourth, by its multiplication produces one of the hood-shaped hryers of the root-tap. Soon after its formation four cells, having a quadrantal basal outline, are produced in its interior by a twice repeated division by means of vertical septa. The cells produced by the multiplication of one of the lower cells of the second degree henceforth divide only by septa perpendicular to the basal surface of the mother-cell and consequently to the next adjoining portion of the surface of the root. All the daughter-cells of such a cell of the second degree lie in one place which is curved parabolically ; they form a blunt hollow cone, and the number of these cones which envelope the apex of the root is the same as that of the cells of the second degree directed downwards which have originated in their puncta vegetationis. The oldest, outer- most of them, reaches as far as the place of origin of the root, the younger, inner ones, are gradually less in proportion to their age. The oldest outermost cellular layers of the apex of the root scale off by degrees and become decayed. The cell-multiplication of those cells of the second degree which are directed upwards tends much more to the increase of the number of cells in height than in breadth. The lon- gitudinal division of each such, newly formed cell is * See Nageli, ' Zeitscbrift f. Botanik./ Heft 3 and 4, p. 143. 280 HOFMEISTER, ON followed by division by means of septa parallel to the basal surface, and perpendicular to the longitudinal axis of the root, The outer cells of the group formed by the multi- plication of those cells of the second degree which are directed upwards (those which adjoin the daughter-cells of the second degree which are directed downwards) continue to multiply for some time by division by means of septa alternately radial and parallel to the periphery. But the succession of these divisions is twice interrupted by the formation of horizontal septa in the entire mass of cells pro- duced by the multiplication of the cell of the second degree which is directed upwards. The adventitious roots like the adventitious buds are capable of remaining dormant for a long time. When they burst forth and become elongated, the central string of cells is transformed into avascular bundle. The tissue immedi- ately enclosing the latter becomes disintegrated, dries up, and ultimately disappears. Thus a hollow cylindrical air cavity is produced beneath the bark of the adventitious root, The upper surface of the root becomes covered with long papilla? which become brown in age. In very old rhizomes the cortical layer of the root usually disappears entirely; the central vascular bundles only, (whose tissue is very firm) are persistent, and have the appearance of tough, thick, deep-brown fibres. Fruit is usually developed only on the vigorous shoots produced from the lowest internodes of a shoot of the previous year. The transition from the form of the ordinary sheathing leaves, to that of the lowest circle of sporangia is very rapid and sudden, even in those species which (like Equisetum arvense) have special fructifying shoots. The sheathing leaf immediately underneath the fruit is shorter and more fleshy than the others ; there is no other inter- mediate condition. The fructification is morphologically unlimited ; owing to its mode of origin its longitudinal development is not confined within bounds, any more than that of the vegetative shoots, which (at least those above ground) nevertheless do not become elongated beyond a certain extent. Each circle of sporangia makes its appear- ance in the form of an annular cushion underneath the THE HIGHER CRYPTOGAMIA. 281 terminal bud,* like the first rudiment of the vegetative leaf, but more massive and much less elevated. Definite points in this very flat annular wall become prominent, after the maimer in which the leaf tips project above the (originally) smooth margin of the sheathing leaf. A ring of hemispherical protuberances is thus produced around the stem, which, in the growing fruit, is clearly perceptible in the third rudimentary sporangial circle, reckoning from the terminal bud down- wards (PL XXXVI, figs. 3, 6). The normal cell-multipli- cation of these hemispherical cellular masses — the rudiments of the stalks of the sporangia — is similar to that of the fruit-rudiment of Pellia (PI. XXXVI, figs. 4, 5). The development of their upper part soon exceeds that of the lower ; by the pressure of their apices against one another they assume the form of hexagonal shields. On the under- side, where they pass into the stalk, these shields soon exhibit at five or six points a rapid cell-multiplication pro- duced by the division of one of the cells of the under surface of the shield. This division takes place by septa inclined in different directions, and is repeated continually in the apical cell (PL XXXVI, fig. 7). Prom five to six blunt warts of cellular tissue are thus produced on the under side of the shield : these are the first rudiments of the sporangia. Shortly after their first appearance the growth of one of the inner cells considerably surpasses that of its neighbours. The cell in question is at this time only separated from the apex of the young sporangium by a simple layer consisting of a few cells. It is the primary mother-cell of the spores ; the cells surrounding it become the wall of the sporan- gium. The first division of the primary mother-cell takes place by a horizontal septum (PL XXXVI, fig. 8). By repeated bi-partition of the primary mother-cell the number of cells destined for spore-formation is increased (PL XXXVI, figs. 9, 10). In the mean time the number of the cells of the wall increases much more rapidly : the latter soon con- sists of a double layer produced by the division of its * The structure and mode of cell-multiplication of the terminal bud exactly correspond with that of the terminal bud of vegetative shoots. 282 HOFMEISTER, ON cells by septa parallel to the outer surface (PL XXXVI, fig. 9). A previous division takes place by septa which cross one another in different directions, and are perpen- dicular to the outer surface, and by such division the cir- cumference of the wall is increased, keeping pace with the increase in volume of the group of mother-cells. In the mean time the division by septa parallel to the outer surface occurs once more, so that now the wall of the sporagium consists of three layers of cells (PI. XXXVI, fig. 10). The inner one of these layers and the middle one be- come dissolved, and are displaced by the group of mother- cells, the size of which increases continually. The inner layer is dissolved at an early period, and the middle one shortly before the time when the mother-cells are individualised (PI. XXXVI, fig. 13). The connexion between the mother- cells is not broken up all at once. Small groups, consisting normally of four cells, usually hang together for some time (PL XXXVI, figs. 11, 12). This process corresponds ex- actly with what takes place in the formation of the pollen of phaenogams. Each of the spore-mother-cells when free exhibits a large central nucleus, as is the case at all periods of their deve- lopment, except immediately before the division of a gene- ration of mother-cells. This nucleus, which usually has only one moderate-sized spherical nucleolus, is a globular empty cavity, having a vesicular appearance, and is filled with fluid which is less highly refractive than the thickly mucilaginous contents of the cell, which are rendered turbid by numerous fine yellowish granules. In the further progress of the development of the fruit the membrane of this nucleus is slowly dissolved : its fluid contents do not intermingle with that of the cell (PL XXXVI, fig. 12; PL XXXVII, fig. 1). In its place two large flatly ellip- soidal nuclei suddenly appear occupying almost half the mother-cell. These latter nuclei at first exhibit no nu- cleoli, but at a later period they contain several (PL XXXVI, fig. 3). In the equator of the cell, between the two nucleoli, a ring or plate of protoplasmic granules is formed near the cell-wall (PL XXXVII, figs. 4, 5). The outlines of the two flattened nuclei then become more THE HIGHER CRYFTOGAMIA. 283 and more indistinct, and soon disappear altogether. The granules which compose the above-mentioned ring or plate, distribute themselves in the fluid contents of the mother- cell, and four smaller globular nuclei are now seen in the latter, whose appearance is as sudden as that of the two larger flattened nuclei, which took place a short time pre- viously (PL XXXVII, fig. 6). They are arranged in the angles of a tetrahedron, and a septum is visible between each two of them. Introductory stages of the development of the septum may be seen in the form of thick indistinct flattened agglomerations of yellowish protoplasm. Thus the mother- cell is divided into four tetrahedral cells which are the special-mother- cells (PI. XXXVII, figs. 7, S). Hitherto the development of the spores, from the separa- tion of the mother-cell down to the minutest details, re- sembles that of the pollen of the Abietinege.* This renders their further history so much the more peculiar. The four tetrahedral cells into which the mother-cell divides, very soon become disunited, doubtless on account of the dissolution of the primary w^all of the mother-cell, and of the outer layer of the walls of the four daughter- cells. They then appear in the form of perfectly spherical very thin-walled cells. A layer of granular mucilage covers the inner wall, leaving in the centre a free globular cavity filled with a thin fluid. The, very flat nucleus is embedded in the protoplasmic layer. The globular cell, when lying- in water, soon appears surrounded by a bright halo, formed of a layer of apparently gelatinous matter, which when treated with iodine exhibits no colour. (PI. XXXVII, fig. 9). A very delicate membrane forms the outer boun- dary of this covering layer. In somewhat older sporangia this membrane appears more firm, and more distinctly separated from the inner part of the layer surrounding the globular cell, which now consists of a fluid coloured pale yellow by iodine. These stages of development of the spore-mother-cell are passed through in a very short time. In the same sporagiura of Eq.palustre there may be found mother-cells with the primary nucleus in the act of disso- lution, others with two flattened nuclei, and others with * 'Bot. Zeit.,'18-48, p. 670. 284 H0FME1STER, ON four globular daughter-nuclei; there may also be found sets of four tetrahedral daughter- cells, individual daughter- cells, of a globular form, and lastly, others which already exhibit the transparent halo slightly developed. The ap- pearance of the latter is not accompanied by any percepti- ble contraction of the contents of the globular cell. If the cells which, when treated with water, exhibit the above- mentioned halo, are examined in the fluid contents of the sporangium, their membrane appears thin and quite homo- geneous even under the best microscopes. But in sporangia a little more advanced, the membrane in question under similar circumstances appears to be composed of two layers, the inner one of which is thicker and more highly re- fractive than the outer one. The outer layer, when treated with alcohol, contracts so as to be hardly distinguishable from the inner one. At the same time the cell-contents con- tract, sometimes into a globular shape, sometimes irre- gularly. If water is applied the outer layer swells con- siderably, and forms a thick, gelatinous, almost fluid cover- ing, round the inner one, which remains unaltered. Under the further action of water this gelatinous layer is dissipated in the surrounding fluids. The effect of alcohol upon the fresh cell is to lessen considerably this power of distension. After treatment with alcohol the outer layer only swells up to a definite extent (to about three times its original size), in distilled water. If the preparation is now crushed, the swollen layer is pressed out over a wide space, and is then clearly seen to consist entirely of a homogeneous hyaline gelatinous substance, and that the granular aspect of its outer surface is owing to the attachment of small extrane- ous bodies. A longer exposure to the effect of alcohol often entirely destroys the capacity for distension. Iodized solution of chloride of zinc imparts a pale blue colour to the entire mass of the outer membrane, and renders the inner one yellow. After the cells have lain in alcohol the same solution renders the outer layer pale yellow, and the inner one brown. The addition of water brings out the blue colouring in the outer layer. Ammoniated oxide of copper applied to the fresh cell causes only a slight distension of the outer layer, and hardens it so that it no THE HIGHER CRYPTOGAMIA. 285 longer spreads out under pressure. Sulphuric acid dissolves the outer layer ■ the inner one withstands its action but assumes a brown colour. At this period of development the diameter of the cell is from 20*24 to 23 60 m. m. m. and no trace of any third inner membrane is perceptible, even when the cell is ruptured after lying in alcohol. But when the cell has attained a diameter of from 303 to 37 m. m. m. a third internal covering of the cell-content s soon makes its appearance. Such a cell when placed in diluted alcohol exhibits three perfectly distinct membranes. Each of the three globular vesicles is situated excentricallv in the interior of the next outer one. If the fresh cell is placed in alcohol the three membranes swell up but in dif- ferent degrees : the outer one swells the most, the middle one to a less extent than the outer, and the inner one least of all. The cell-contents swell up at the same time ; they always remain closely attached to the inner membrane, and cannot be brought to contract into a smaller space than the cavity of the latter. In a cell for instance whose diameter in alcohol was 30*2 m. m. m. the membrane immediately enclosing the cell contents measured (after treatment with water) 32 m. m. m.; the middle one 37'04 m. m. m.; and the outer one 63*84 m. m. m. At this stage of development the iodized solution of chloride of zinc colours all three membranes blue ; t he- middle one changes colour first, and its colour is the most intense. If such cells, after lying in alcohol, are ruptured by pressure, the membranes, which have previously been closely attached to one another, separate ; the middle one contracts to a smaller space than the outer one, and the inner one more than the middle one. After contrac tion they still retain the form of tense globular vesicles, and exhibit a Greater thickness of wall than before. If cells fresh from the sporangium are treated with water, the outer and middle membranes often swell up to some extent : they separate from the inner layer, remaining at the same in close connexion with one another. The distended mem- branes are easily separable from one another by pressure, and they exhibit a scarcely perceptible increase in thickness. At this period no trace is yet visible of the course of the 286 HOFMEISTER, ON spiral bands into which the outer membrane shortly after- wards divides.* In those sporangia however in which some cells of the outer membrane exhibit traces of elater-formation and others do not, the capacity for distension of the middle membrane is far behind that of the outer one. Even in the fluid con- tents of the sporangium itself the outer membrane, in Uquisetum limosum, is at a considerable distance from the middle one. Upon treatment with alcohol the middle and the inner membrane are drawn far away from the outer one whilst they remain in close contact with one another, and with the cell- contents. Upon the subsequent addition of water the inner membrane remains still in close contact at every point with the cell contents ; the middle one becomes some- what detached and often irregularly folded ; and the outer layer is far removed from the middle one. With this dis- tension of the outer membrane it becomes manifest that the latter is traversed by two left handed, parallel, spiral lines, in the course of which the membrane is thinner than in its other parts. In profile, *. e., in an optical longitu- dinal section of the cell, I see with the best microscopes that the thicker portions of the membrane protrude inwards over the thinner parts (PL XXXVII I, fig. 10), not out- ivard///f as Sanio says (' Bot. Zeit./ 1857, p. 661). When * In the ' Vergleichende Untersuchungen,' p. 99, I spoke of the processes above described as consisting of the formation of a free cell (the spore) around the primary nucleus of the special mother-cell. In opposition to this, Sanio has shown ('Bot. Zeit./ 1856, p. 181, 1857, p. 057) that within the sporangium the two membranes always lie close to one another, and that therefore a free cell- formation cannot be admitted. This is quite correct. Sanio further attempted to show that there could be no such thing as a centripetal spiral thickening of the outer cell-membrane, which membrane at a later period splits to form the elaters. The reasons brought forward to prove this are however not convincing. During the development of the spores of the Equisetacea: some phenomena occur which have an important-bearing upon the study of the cell-membrane, and I therefore give here in some detail the result of recent investigations of this subject. Some of Sanio's objections to my views as to the divisions of the mother-cell (1. c, 1856, p. 170) have since been abandoned by himself (1. c, 1857, p. 658). With regard to his observations on the abnormal development of certain mother-cells and the division of the primary nucleus by constriction, I will only remark that there is no analogy between such cases and the cases where the process of development is normal. -j- I contend that my representation (' Vergl. Unters.,1 t. xx, f. 18) is quite correct, irrespective of the fact that in this figure the thin portions of the membrane have come out disproportionately thick, THE HIGHER CRYPTOGAMIA. 287 in water the outer membrane, which is in the process of being transformed into elaters, is coloured pale blue by iodized solution of chloride of zinc ; in the middle layer the blue is more intense. In sporangia a little more advanced the thin parts of the outer membrane disappear : the delicate pellicle which held together the coils of the elaters is no longer present. Fresh elaters are coloured a QTeyish-blue by the above-mentioned solution, with the exception of a thin outer layer which assumes a yellowish colour. By adding a quantity of water the colour of the main portion of the elaters becomes a more pure blue. After the separation of the elaters the middle spore membrane exhibits a very different reaction with iodine ; it remains yellow under all circumstances, under the iodized solution of chloride of zinc, as well as under iodine and sulphuric acid. Animoniated oxide of copper if applied to the outer membrane just after it has split to form the elaters, is very rapid in its effects. The membrane becomes distended and is gradually dissolved. Under the action of the same fluid the next inner membrane swells up into a large vesicle, without diminishing per- ceptibly in thickness. Its substance is then softer; by rolling it under a covering glass it is easily Avrinkled. The third membrane is tightly stretched upon the cell-contents. The further action of ammoniated oxide of copper gives it a yellowish colour, but in other respects it remains un- changed. A little later, whilst the elaters are continually increasing in breadth and thickness, the rudiment of a final innermost membrane of the spore becomes visible. If a young spore in this stage of development is detached from its elaters, and placed in alcohol, and if water be then added, the membrane next to the elaters becomes detached from the third membrane, and from the cell-contents which are closely embraced by the latter, and in which chlorophyll now begins to appear. If the spore be now ruptured by pressure, the membrane next to the elaters remains folded without changing its volume. The next inner one remains after the rupture tense as before, whilst it contracts upon a much smaller space, and now appears considerably thicker 288 HOFMEISTER, ON than it previously was. It has borne a strong pressure from the expanding cell-contents, and possesses a high degree of elasticity. Its hitherto smooth outer surface now exhibits Aery small protuberances which give it a finely granular appearance. Its inner surface is covered by a tolerably thick layer of semi-fluid hyaline matter, which by hard pressure is partly driven out from the fissure of the ruptured membrane. If a spore in the above stage of development be taken fresh from the sporan- gium and treated with caustic potash, the elaters swell up ; the adjoining membrane is distended into a vesicle, and usually becomes wrinkled. The third granular mem- brane assumes a brown colour, but in other respects re- mains unchanged. The fourth membrane, which is still delicate, contracts round the cell-contents, and exhibits a double outline.* The peripheral portion of the cell-con- tents then assumes a red colour, which never extends so far as the middle point of the cell, and which depends upon the presence of tannin. f Sometimes in spores taken from the same sporangium, like those just mentioned, the innermost layer swells up under caustic potash, and remains in contact with the granular layer. The latter may then be stripped off from the inner layer by friction with the covering «;lass, and will be seen to be a closed vesicle sur- rounding the cell-contents. Sulphuric acid immediately destroys the elaters of such spores ; the next inner mem- brane, like the third granular layer, thereupon expands into a capacious vesicle, but resists the acid. The fourth innermost layer swells, and becomes converted into gela- tine, which after the rupture of the cell is immediately dis- persed in the surrounding fluid. After the bursting of the ripe sporangia; the elaters, when dry, arc stretched out, remaining attached to the spore by their median portion. When moistened they roll together * Sanio, 1. c, p. 665, who from its contractility, draws the conclusion that it is a primordial utricle. f Sachs, ' Sitzungsb. Wiener. Acad.,' xxxvi, (1859) p. 21. Sanio has observed that the red colour only ail'ects the cell-contents, 1. c, p. 666. J The wall of the sporangia, which consists of one layer of cells, is trans- formed into spiral cells. Compare Henderson, 'Trans. Linn. Soc.,' v, xviii, p. 567. THE HIGHER CHYPTOGAMIA. 289 in a spiral manner, covering the spore entirely as at first. It may easily be seen by the examination of detached fragments of elaters that the rolling inwards is not accom- panied by any contraction of the concave side. It follows from this that the extension of the elaters depends upon a relatively greater contraction of the outer layers of their tissue, a contraction which is completely 'balanced by moistening the elaters. By moistening the ripe dry spores the elaters are rapidly rolled inwards ; almost immediately afterwards they become unrolled. Sulphuric acid and water also causes a rolling inwards of the elaters : when concen- trated to a certain extent it destroys only the inner layers. The thin outermost layer, which during the formation of the inner layer Avas coloured yellow by iodized chloride of zinc (Pringsheim's * Elater-cuticle/ Bot. Zeit., 1853, p. 244), remains behind in the form of a loose band. The second (now the outermost) membrane of the spore, be- comes distended and detached from the middle layer by the action of sulphuric acid, whether concentrated 'or diluted. The inner spore-membrane is largely distended by concentrated sulphuric acid, so that it soon ruptures both the outer membranes, and emerges with the spore- contents in the form of a gelatinous globule (PL XXXVIII, lig. 11). The two outer membranes are not affected by heated sulphuric acid, not even by remaining in the acid for ten days. The outer layer under such circumstances remains at first as clear as glass, and afterwards only ex- hibits a smoky-grey colour and a granular consistency of the outer surface. The inner layer which is finely granular is coloured deep brown. After the rupture of the spore all its membranes contract considerably, so that the diameter of their inner cavity is only about half the previous size. If the rupture of the spore is effected by treatment with sul- phuric acid the contraction of the middle (third) mem- brane, and consequently the elasticity upon which this contraction rests, appears to be altogether unaffected, and that of the outer membrane is but slightly acted on. After the bursting, by pressure, of the fresh, ripe, detached spore, the outer boundary only of the innermost (fourth) mem- brane is sharply defined ; the inner side of the latter mem- 19 290 HOFMEISTER, ON brane becomes by degrees a half solid gelatinous layer. It is not until germination that this membrane becomes smooth and firm on both sides. The expansion of the cell-contents and of the innermost membrane which takes place when the spore is sown upon moist ground, very soon ruptures the outermost of the three membranes, and shortly afterwards the middle one also, and both are stripped off. The substance which is coloured red by caustic potash remains attached to the inner wall of the innermost membrane after the latter has become free, and even for some time after its division into two cells. This substance has the form of a layer composed of very minute particles, and it may be detached by pressure from the cell-mem- brane. Two facts in the process of development of the spores of the Equisetaceas are of general interest. The spore-mem- brane is here seen to increase in thickness after two differ- ent modes of growth occurring side by side. There is growth by apposition and growth by intussusception. To the former is to be attributed the origin of the third and fourth membranes, which are evidently produced from the gradual hardening of layers of gelatinous matter spread over the inner surface of the previously existing membranes. To the latter belongs the centripetal growth of the elaters, after their separation from one another, and the centrifugal growth of the second and third membrane during and after the formation of the fourth ; a growth which exhibits itself in the granulation of the outer surfaces of both these mem- branes. The second point, however, is the more important one, viz., the remarkable modifications of the physical properties and chemical reactions which each of the four membranes of the spore undergoes during the process of development. Each of them exhibits during a certain period of its exist- ence the assumed characteristic relation between cellulose and iodine and sulphuric acid ; but this relation is never seen in the earliest states of development, nor is it constant. The outer layer of the first membrane (i, e., the elaters), and of the fourth membrane (even after the commencement of germination), assume in the course of development the character of a cuticle ; the second and third maintain that THE HIGHER CRYPTOGAMIA. 291 character throughout. The three outer membranes when young are far more capable of distension than at a later period, and during this condition the second and third membranes are not without a high degree of elasticity, which diminishes as the capacity of distension becomes less, or even disappears altogether. Sanio* has made some interesting observations upon the abnormal formation of elaters out of the membranes of mother-cells in which the division into four daughter- cells has been suppressed. Since these observations it can hardly be doubted that the outermost membrane, which is transformed into elaters, must be looked upon as their special-mother-cell. The Equisetacese, therefore, exhibit the rare circumstance of the persistence of the membrane of the special-mother-cell, a fact which, as far as I know, occurs in phsenogains only in Maranta Zebrina. During the transformation of the membrane of the special-mother-cell into elaters a change in the substance of the membrane appears to take place. Spiral strips of the membrane be- come thinner and ultimately disappear, whilst other strips parallel to these increase in thickness. The differentiation of the membrane in a superficial direction into strips of different characters, may be compared with its differentiation in the direction of the thickness into two lavers of different properties. In the ripe spores the central globular nucleus is very clearly visible floating in the yellowish oleaginous fluid contents, in which, even before the shedding of the spores, numerous chlorophyll granules are seen. The number of the latter increases rapidly when the spores are sown on moist ground. After a few hours the primary nucleus vanishes. In its place two new ones make their appearance, the position of which can often only be made out by means of the agglomeration of chlorophyll-granules in their neighbourhood (PL XXXVIII, fig. 12). Between the two a septum is formed, dividing the spore into two very un- equal parts (PI. XXXVII, fig. 13). One of these, the larger one, contains almost all the chlorophyll-granules of the cell : the other has hardly anything but finely-granular * fBot. Zeit.,'1857, p. 667. 292 HOFMEISTER, ON mucilage. This latter cell usually constitutes the first radicular hair of the growing prothallium (PL XXXVI I, figs. 14—16). In Equisetum limosum and palustre the upper chlorophyll- bearing cell divides immediately by a vertical or strongly inclined septum (PI. XXXVIII, figs. 15, 10). In Equi- setum arvense the cell often expands to a very considerable extent before it divides, especially when the spore is sown in a very moist shady place (PI. XXXVIII, fig. 19). The formative matter — protoplasm mixed with numerous chlo- rophyll-granules— is accumulated at the apex of the upper cell, which is turned away from the rooting end of the growing prothallium. This mucilaginous mass usually, but not always, surrounds the nucleus. The latter dissolves gradually and two new ones take its place (PI. XXXVIII, fig. 19). A transverse septum, which makes its appearance betwreen the two, divides the large chlorophyll- bearing cell into an upper, smaller cell, destined for further active division, and a lower, distended, permanent cell (PI. XXXVII, fig. 20). The basal cell often grows into a tubular root after the previous growth of one or more capillary roots from the free outer wall of the younger cells. Frequently, however, this does not take place (PI. XXXVII, fig. 20). The further development of the prothallium is very various. There is hardly any organ of the higher plants in which there is so little regularity of cell-multiplication. Usually there is a tendency to longitudinal growth by the repeated division of one or more apical cells by means of transverse septa, and also to the division of the cells of the second degree by longitudinal septa. Lateral shoots are very often formed. They are produced by the protrusion of the wall of a somewhat older cell, and the subsequent separation of the protuberance from the primary cell-cavity by means of a transverse septum (PI. XXXVII, fig. 20). These adventitious shoots exhibit the like forms of cell- multiplication as the primary shoots, which they often sur- pass in vigour (PI. XXXVII, fig. 22). In other cases there is a manifest bifurcation of the fore-end of the prothallium produced by the parting asunder and development of two apical cells (PI. XXXVII, figs. 17, 21). When the cells THE HIGHER CRTPTOGAMIA. 293 of the protliallium have reached the stage at which the protoplasm of their contents clothes the inner wall in the form of a thin layer, they have a manifestly vesicular ap- pearance. I have often clearly observed their multiplication by division (PL XXXVII, fig. 20). Mucilaginous threads radiate from the nucleus. However various the ramifications of the prothallium may be at first, the final result is always the same. One or more (five at the most) of the numerous shoots develope themselves much more vigorously than the others in length, breadth, and thickness. Their outline resembles to some extent that of the prothallia of the ferns. The subse- quently formed capillary roots of the prothallium are pro- duced almost exclusively from their under side. Sexual organs are mainly produced from these principal lobes; they seldom occur on other parts of the prothallium. The prothallia of Equisetum arvense, pratense, and palu-stre, are distinctly disecious. The individuals which bear antheridia produce them very plentifully, but yield archegonia only in the rarest instances, and then upon late shoots of the base of the prothallium. These may be con- sidered as new individuals, by analogy to the processes which spring from the marginal cells of old fern-prothal- lia. The male prothallia do not attain the full size of the females. They consist normally of only one or two thickly fleshy expansions of cellular tissue, whose margins bear the antheridia, and also some thin membraneous barren shoots. Their chlorophyll contrasts with that of the female prothallia by a manifest tendency to a yellow colour. The deep-brown colour Avhich is assumed by empty antheridia, imparts a diseased appearance to the male prothallia at an early period. The production of an antheridium is preceded by fre- quently repeated division of one of the marginal cells by means of septa inclined alternately in two directions (PI. XXXVIII, fig. 24). The cells of the second degree divide by radial longitudinal septa, and each of the three-sided cells thus formed divide into inner and outer cells by septa parallel to the axis of the organ. The latter become the covering layer of the antheridium, and numerous chloro- 294 HOFMEISTEK, ON phyll vesicles are spread over their inner wall. The me- dian cavity of the cell is filled with a watery fluid. The axile cells of the young antheridium form an oval group, composed of four longitudinal rows of cells, and contain finely-granular mucilage (PI. XXXVII, fig. 24). By rapidly repeated division in all three directions of space they are transformed into a mass of small tessellated cells, which at first are in very close connexion with one another. In each of them a flattened ellipsoidal cellule is formed (PL XXXVII, fig. 25), in the interior of which a small vesicle with less highly refractive fluid contents is some- times visible (PI. XXXVII, fig. 26). The walls of the firmly adherent cubical cells are now dissolved, and the ellipsoidal cellules become free. A gelatinous mass, spread over their inner wall, soon begins to be visible ; it forms an imperfect ring parallel to the major axis of the ellipsoidal cell. This is the first indication of the nascent sperma- tozoa (PI. XXXVII, fig. 27). Numerous mucilaginous granules remain for a long period in the middle point of the cellule, even until the ripening of the antheridium. The apical cells of the covering layer of the antheri- dium, which are usually eight in number, contain little or no chlorophyll. In the elongated antheridia of Eq. limosum the cells adjoining these apical cells have also very little chlorophyll (PL XXXVII, fig. 24). When the organ is ripe the apical cells part asunder, and the cellules enclosing the spermatozoa ooze slowly out. These cellules are larger in Equisetum than in any other known plant. In Uq. arvense their diameter attains — ". When the vesicle is ripe the spermatozoon soon becomes partly free, apparently by the distension and dissolution of parts of the wall of the enveloping cell. The numerous cilia on its thick fore-end commence their active oscillating motion, by means of which the spermatozoon with the attached vesicle moves rapidly about in the water on the slide. The spermatozoon seldom becomes entirely free from its mother- cell. When it does so, it has the form of a spiral vermiform body, consisting of a mucilagino-gelatinous substance be- coming dark-brown under iodine. Its fore-end, which is the thicker of the two and slightly compressed laterally, THE HIGHER CRYPTOGAMIA. 295 forms two narrow closely approximated turns of a (usually) left-handed spiral. These turns alone bear the cilia. During the rapid motion of the spermatozoon in water its wider, final turn, upon which the cilia are wanting, ap- pears to be somewhat reduced in size (PL XXXVIII, fig. 28), but when the spermatozoon is killed with iodine, it ap- pears on the contrary considerably enlarged (PI. XXXVIII, figs. 30 — 33). This remarkable phenomenon depends upon an organization hitherto (as far as is known) unique in the vegetable kingdom. The end of the spermatozoon bears on the inner side of its ultimate turn a wide fin-like process, consisting of a delicate membrane, which during the motion of the spermatozoon glistens like the undulating membranes of the spermatozoa of toads and Tritons. When the motion becomes more active the membranous margin becomes invisible like the cilia ; it is only clearly visible when the vital activity of the spermatozoon is on the decline (PI. XXXVII, figs. 30—33). The undula- tions of the fin last longer than the oscillations of the cilia. The hinder end of the spermatozoon appears still somewhat pointed when the quiescent cilia of the fore-end are already visible. The hinder end of the spermatozoon is of a very delicate half- fluid consistence ; it attaches itself easily to any object, and is then drawn out into long threads. It often happens that a spermatozoon drags after it the empty membrane of the mother-cell attached to one of such threads, or that it fastens itself to a capillary root of a prothallium (PI. XXXVIII, fig. 28J). Spermatozoa whose motion, after many hours continuance, ends spontane- ously, always exhibit a thin caudal appendage often of very considerable length. The substance of their hinder end has doubtless been drawn out into such threads, in consequence of the spermatozoon having attached itself to some body during its motion, and then torn itself away. The substance of such spermatozoa exhibits, by the pre- sence in it of vacuoles, manifest traces of a state of disten- sion.* If the spermatozoa are killed with iodine they * In the ' Veigleich. Unters.,' p. 101, I treated the whip-shaped elongated form of the hinder end as a peculiarity common to the spermatozoa of Equisctum, an assumption which was grounded upon the frequent occurrence of such peculiarity. 296 H0FME1STER, ON usually imrol themselves like a snail (PL XXXVII, figs. 31 — 33) ; it is but rarely that the individual turns remain at a distance from one another, as is the case during the motion. The motile cilia appear stiff and extended when the spermatozoon is quiescent ; their direction is not radial to the axis of the spiral of the spermatozoon, but is turned backwards. The mode in which portions of the spermatozoon remain attached to the mother-vesicle is very various. Very fre- quently the thick fore-end remains inside the spherical vesicle, the lower turns protruding out of the fissure, and causing by the oscillation of their cilia a restless reeling motion of the organ and its mother-cell. More rarely the fore-end is free and the hinder-end enclosed in the vesicle. In such cases the motion is more regular and more rapid. It more often happens that the cilia of the thickest end of the spermatozoon protrude out of a fissure in the vesicle. The continual rolling motion of such spermatozoa very much resembles that of many infusoria, I have seen the motion of the spermatozoa of Equisetum arvense last for five hours. The sensitiveness of the sper- matozoa to external influences appeared to me much less than that of ferns. Water containing much gypsum, which acted in a decidedly injurious manner upon the spermatozoa of Asplenium septentrionale, had not the slightest effect upon those of Eq. arvense, palustre, and limosum. In Eq. limosum I found the first ripe antheridia five weeks after the sowing of the spores (on the 1st of July), in Eq. arvense thirteen weeks after (at the end of July) ; in one case four weeks only after the sowing (at the end of May). The number of the antheridia upon one prothallium is sometimes as many as sixteen in Eq. arvense. The inner wall of the cavity of antheridia which have discharged their contents assumes a deep brown colour. The escape of the cells enclosing the spermatozoa certainly takes place spontaneously ; heaps of agglomerated dried mother-cells of spermatozoa are often found at the apex of empty anthe- ridia. Numerous obstacles seem to interfere with the natural ger- mination of the Equisetacese. Although I have often searched THE HIGHER CRYPTOGAMIA. 297 for them, I have never found the prothallia of any species in their natural state. Even under culture, the greater number of the prothallia decay before the development of antheridia, or are destroyed by insects, or by an overgrowth of Vaucheriae, Oscillatoriea?, or proembryos of mosses. Before 1852 very few of the prothallia of Equisetum arvense which I had cultivated lived beyond the fifth month after the sowing. They were all of the male sex. In some I ob- served the formation of a short, flat, lateral shoot, which produced the rudiments of archegonia. This was the only instance of departure from the disecious character which ever occurred to me in the prothallia of Equiseta. Those prothallia of Eq. arvense, variegatum, and palustre, which produce archegonia never produce antheridia,* They ramify to a much greater extent and become far more vigorous than the male prothallia. A female prothallium is normally a circular combination of from three to six fleshy masses of cellular tissue, which bear very numerous green crisp shoots of more delicate texture, and from a quarter to half an inch in diameter. The form very much resembles that of young plants of Antkoceros punctatus. When male and female prothallia are produced from spores sown contemporaneously, the archegonia of the female prothallia appear much later than the antheridia of the male ones ; the younger female prothallium would seem to be sterile. The spores from which female and male prothallia originate are exactly of the same size and quality. Exter- nal circumstances seem to have an influence upon the germinating prothallia. A dry place exposed to light seems decidedly to favour the development of male pro- thallia of Equisetum arvense. The spores of Equisetum arvense and pratense when sown artificially produced prin- cipally male prothallia, t and those of Equisetum palustre * On the other baud Bischoff lias found the prothallium of Eq. sylvatium beariug archegonia on its older portions and antheridia on its younger shoots. ([ Bot. Zeit.,' 1853). f In 1S49, 50, and 51, I obtained only male prothallia, upon which rudi- ments of archegonia appeared only at a late period, and then only upon adven- titious shoots. In the summer of 1852 the number of male prothallia was greater by about one half than that of the female ones. That summer seems to have been especially favorable to the germination of Equisetum. Cultivated specimens of Equisetum variegatum shed spores at the beginning of May. About the middle of July female prothallia, which were present in great numbers, developed small leafy plants. 298 HOFMEISTER, ON (according to repeated experiments) only female pro- thallia. The archegonia are produced by the multiplication of individual cells of the fore-edge of the thick, fleshy lobes of the pro-thallium. After the commencement of the form- ation of the archegonium the mass of cellular tissue to which the organ is attached usually continues to grow underneath it, so that the archegonia, like those of Pellia, are afterwards situated on the surface of the prothallium. A small, thin, membranous shoot of the prothallium is usually formed near each archegonium (PI. XL, fig. 1). The mother-cell of an archegonium which, like its neigh- bours, contains chlorophyll, only differs from the latter by its greater abundance of protoplasm. After its free upper wall has become considerably curved, its first division takes place by a horizontal membrane. The lower of the two halves, which is entirely sunk into the tissue of the pro- thallium, becomes the central cell of the archegonium, the aperture of the latter being formed by repeated bi-parti- tions of the upper half. The first of these partitions takes place by a vertical longitudinal septum. Another septum, also vertical and at right angles to that just formed, appears immediately in each of the two newly formed cells. The four cells sur- rounding the central cell, which in the mean time has be- come remarkably curved above, grow uniformly upwards, and are at the same time divided by horizontal transverse septa — exactly in the same manner as the four vertical-cells of the fruit rudiment of a Jungermannia.* Thus a cylinder is formed projecting above the central cell of the archego- nium, composed of four longitudinal rows of cells (PI. XXXVII, figs. 35 — 37). The upper pair of cells undergoes considerable elongation, which afterwards takes place also in the next adjoining pair, though in a less considerable degree. The two lower pairs of cells of the neck of the archegonium become elongated upwards, but hardly per- ceptibly so; however, the incipient multiplication of the cells adjoining the central cell extends to the two lower pairs of cells, or at least to the lowest of them, the division taking place by means of septa alternately perpendicular * 'Vergl. Unters.,' pp. 18, 38. THE HIGHER CRYPTOGAMIA. 299 and parallel to the Avails of the central cell. In consequence of these divisions the central cell of the archegonium, when fully developed, appears to be surrounded by one or two epithelioid layers of cells (PL XXXVIII, figs. 1—4). Inside the central cell, during the first stage of develop- ment of the archegonium, there is formed a daughter-cell, — the germinal vesicle. It originates round a secondary nucleus, which makes its appearance in the apical arch of the cell (PI. XXXVII, figs. 35, 36), sometimes as early as the commencement of the formation of the transverse septa of the two pairs of cells which form the neck of the archegonium (PI. XXXVII, fig. 35). It grows gradually, and during the formation of the archegonium displaces more and more the contents of the central cell, especially the second nucleus of the latter, which exists during its formation (PI. XXXVIII, fig. 1). When the archegonium opens, some granular mucilage, the last remnants of so much of the contents of the central cell as has not been absorbed in the formation of the germinal vesicle, seems to be usually spread over the outer wall of the free spherical cell (PI. XXXVIII, fig. 2). The four longitudinal rows of cells which form the neck of the archegonium now become disconnected at their edges. An open canal is formed leading to the central cell and traversing the longitudinal axis of the cylindrical neck. This canal is the entrance to the archegonium. The four elongated cells of its mouth bend semicircularly backwards by which means the archegonium assumes a very strange appearance ; it resembles an anchor with four flukes or arms (PL XXXVIII, figs. 2, 3, 4, 6). The arched cells of the mouth when they part asunder contain no solid matter ; the few chlorophyll vesicles as well as the nucleus of the cell have disappeared. The same is the case with the four cells which support those last mentioned. The free neck of the archegonium is transparent like glass. There is far less difference between the structure of the archegonia of the Equisetaceae and those of ferns than there is between the antheridia of the same plants. The former agree in all essential features with those archegonia of the Polypocliacese in which the neck consists only of four longi- / 300 HOFMEISTER, ON tudinal rows of cells. It may be asserted that the Equise- taceae on account of the disecious nature of their prothallia, and the constant similarity of the structure of their arche- gonia with that of the archegonia of the Rhizocarpeae, especially of Pilularia, form the transition from ferns to the Rhizocarpeae. Male and female prothallia grow in the closest proximity, their shoots often intermingling with one another. The access to the archegonia, which is afforded to the sperma- tozoa not only by every rain but also by every heavy dew, is rendered still easier by the force with which, on the spontaneousopening of over ripe antheridia,*the spermatozoa still enclosed in their mother-cells — are ejected. I found in the canal of a recently impregnated archegonium mucila- ginous masses closely resembling defunct spermatozoa (PI. XXXVIII, fig. 4). The first visible change in an impregnated archegonium is the closing of the lower end of the canal, caused by the horizontal expansion of the cells of its walls (PI. XXXIX, fig. 4, PI. XL, figs.l — 3). This closing is accompanied by the further multiplication of the cells of the tissue surround- ing the central cell. These cells divide repeatedly by lon- gitudinal and transverse septa ; the division is particularly active in the cells of the epithelium-like layer which adjoins the central cell. The impregnated germinal vesicle has in the mean time become somewhat larger. Its nucleus has disappeared, and a layer of finely granular protoplasm lines its inner wall (PI. XXXVIII, fig. 4). Now for the first time — after the obliteration of the lower end of the canal — the series of divisions commences by which the embryo is produced. The germinal vesicle is first divided by a septum inclined to the longitudinal axis of the archegonium. The two halves are again immediately divided by transverse septa at right angles to those just formed. Sometimes the upper and sometimes the lower of the two first cells of the rudi- mentary embryo takes the lead in this division (PI. XXXVIII, figs. 5, 6). * It is at this time only that the small delicate crown represented by Thnret ('Ann. d. Sc. nat.,' iii S., vol. xvi, pi. 16, f. 1) is formed. THE HIGHER CltYPTOGAMIA. 30 L At this time or a little later the recurved cells of the aperture of the archegoniuin shrivel and fall off. The four elongated cells of the neck of the archegoniuin upon which they are borne also lose their vitality. Their walls, so far as they form the canal of the archegoniuin, assume a dark brown colour. The number of the archegonia of a vigorously developed prothallium varies from twenty to thirty ; it exceeds there- fore that of the anthericlia of even the largest male prothallia. Usually more than one archegoniuin is impregnated. I counted as many as seven embryos in one and the same prothallium. The brown colour of the unimpregnated archegonia extends not only over the walls of the whole canal — which remains open — but also over the central cell and its contents (PI. XXXVIII, fig. 3). The first axis of the embryo (which remains undeveloped) has its origin in a series of repeated divisions of the terminal cell commencing in the three-sided cell which includes the lower end of the embryo rudiment (PI. XXXVIII, figs. 7—10 ; PI. XL, figs. 1—3). The cells of the second degree divide at first only by longitudinal and transverse septa perpendicular to the free outer surfaces (PI. XXXVIII, figs. 7, 8 ; PL XXXIX, fig. 1) ; at a later period septa, parallel to these surfaces make their appearance and form inner cells. A similar cell-multiplication commences in the one lateral cell of the 4-cellular- embryo-rudiment. The lines in which the first septa of the lateral cell intersect are parallel to the longitudinal axis of the archegoniuin (PI. XXXVIII, figs. 7—10). A side shoot of the embryo is thereby formed — the second axis of the germ plant, its first leaf-bearing shoot. By the considerable growth in thickness of the primary axis below the place of origin of the secondary one, and still more by the upward curva- ture of the latter during its development, the rudiment of the secondary shoot is soon brought almost to the apex of the globular cellular mass which now constitutes the embryo — to within a small distance from the locus of the lower end of the canal of the archegoniuin which is now entirely obliterated (PI. XXXIX, figs. 4, 5). Up to this stage the rudiment of the embryo may be 302 HOFMEISTER, ON detached without much difficulty. Prom this time however the cells of the surface of its primary axis become more and more closely connected with the neighbouring cells of the prothallium, whilst the latter — in some of which multiplica- tion is continually going on — are more and more com- pressed and at last entirely absorbed by the rapid increase in size of the new plant. The end of the secondary axis of the embryo resembles at an early period both in its form and in the mode of mul- tiplication of its cells the terminal bud of a shoot of a developed Equisetum. The comparatively large apical cell and the ladder-like arrangement of the cells of the second degree are clearly distinguishable in the sharply conical wart of cellular tissue (PI. XXXIX, fig. 4). As soon as the bud has assumed this form, it produces its first leaf, which like those of the developed plant is a closed, annular sheath of uniform height {a, fig. 4, PL XXXIX). The margin of this sheath is elongated upwards by contempo- raneous division of its cells by means of septa inclined alternately inwards and outwards, and after some time it forms three lobes, which at first are blunt, but soon become pointed (PI. XXXIX, fig. 5). Contemporaneously with these three pointed processes of the first sheathing leaf the first adventitious root of the germ plant becomes visible. Originating in the multipli- cation of a cell of the inner tissue of the primary axis, it appears at first in the shape of a small, semicircular knob on that side of the embryo which is turned away from the secondary leafy shoot (PI. XXXIX, fig. 5). The root grows in length by the multiplication of a cell of the interior of its apex like the root of the developed plant, and pene- trates vertically downwards into the tissue of the prothallium (PI. XL, figs. 2, 3). At last it breaks through the latter and makes its way for some depth into the soil. A short time afterwards the upward growing leafy shoot is sent forth from the prothallium. It consists of a small number, from ten to fifteen, of elongated internodes. All its sheathing leaves have three teeth, a rule which applies to Equisetum arvense, E. pratense, and E. variegatum. After the prothallium has sent forth the root and the THE HIGHER CRYPTOGAMIA. 303 leafy shoot, vascular bundles are formed in the interior of the two organs : in the stem there are three arranged in a narrow circle ; in the root one single axile bundle. In the first node of the germ -plant, at the place where the first leafy branch and the first adventitious root branch off from the primary axis, all the cells into which the vascular bundles of both unite, are transformed into short annular and spiral cells, forming a closed ligneous mass without pith (PI. XXXIX, fig. 6). The primary axis of the embryo, which is far less developed in the Equisetaceas than in the ferns and Rhizocarpeas, and which now stands at the side of the germ-plant, remains devoid of vessels. Its cells, which now contain much chlorophyll, become elongated upwards. When the first leafy branch has reached a certain stage of development, an adventitious bud is produced in the in- terior of its cortical tissue by the multiplication of a cambial cell of its base, at the elevation of the solid ligneous mass of the first node. This bud is situated on that side of the leafy shoot which is turned away from the primary axis of the germ plant and below the depression formed by the two lobes of the first sheath (PI. XXXIX, fig. 6). In its position as well as in its mode of development it corres- ponds entirely with the adventitious buds, by which all the ramification of the developed Equisetum is effected. It grows rapidly and vigorously and breaks through the bark of its mother-shoot into the open air. It is distinguished from the first leafy axis by having sheathing leaves with four teeth, and at first also by its pale yellow, ivory-like colour. The new shoot, which is far more vigorously developed than the first shoot, is the second link in the series of shoots originating from the adventitious buds of the lowest sheaths. It is by means of these latter shoots that the vigorous shoots with many-toothed sheaths and more ample ramifications are produced from the delicate primary stem which bears leaves with three teeth. The basal ad- ventitious buds of the above vigorous shoots at last become fruit-bearing stems. Sometimes the third, and if not the third, one or more of the subsequent principal adventitious buds (by which the duration of the germ-plant is secured) assume in the 304 HOFMEISTER, ON course of their development a lateral, or downward direc- tion, passing into the soil, and thus forming the first hori- zontal subterranean rhizome of the Equisetum. The sheathing leaves of this subterranean axis— which produces a large quantity of adventitious roots — have also four teeth. The shoots however which proceed from the bases of their sheaths, of which some grow up to the light, and others pierce vertically downwards to a great depth in the soil, are considerably more vigorous than all the previous ones and bear sheaths with five teeth. Adventitious buds are produced at the bases of the upper sheathing leaves of the first shoots of the germ plant. In Equisetum arvense one or two only and these rarely and irregularly break through the bark of the mother-shoot, and when developed form leafy branches of very limited longitudinal growth. The limited number of whorls (amounting on the first axis to barely three, and on the succeeding axes to not more than four), forms a striking contrast with the rich ramification of the vege- tative shoots of old individuals. The formation of dwarf shoots occurs only rarely and exceptionally on those branches. The development of the germ-plant under favorable circumstances is very rapid and vigorous. Germ-plants of Equisetum arvense, produced from the prothallium in the first week in June, formed by the beginning of August seven generations of shoots, the last of them being then a foot high, and \\'" in diameter, though bearing only four- toothed sheaths. The strong side-shoots of subterranean rhizomes became visible about the end of August. The reproduction of the EquisetaceEe from spores long remained a mystery. Vaucher* in the spring of 1822 first brought forward the results of experimental sowing of the spores, and he was followed by J. G. Agardh.f They both saw only the first stages of development of the prothallia, which Agardh described as cotyledons on account of their two-lobed form. In the following year Vaucher published some observations which gave a full * 'Mem. Soc. de Geneve,' i, (1817) p. 329. t ' Mem. du Musee d'Histoire Nat.,' vol. ix. THE HIGHER CRYPTOGAMIA. 305 • account of the external phenomena of the germination. Vancher found* that spores of Eq. Telmateia and palustre, when sown in flower-pots, became swollen, and divided at the apex first into two, and then into several lobes. These lobes sent forth rootlets which affixed themselves to the ground, and ultimately formed bright green patches some- times as much as a line in diameter, and resembling a small Aneura. They remained in this condition for about two months without growing perceptibly. At last a green point grew out from the middle of the patch, which point, as it became larger, exhibited a frill at its base, then a second, and then a third frill, from the apex of which the young stem arose. Vaucher distinguished the two kinds of roots of the prothallium and of the embryo ; he stated that the first formed roots were numerous, although thin and stunted ; but that a vigorous root was produced from the stem of the young Equisetum, and penetrated perpen- dicularly into the ground. Vaucher's observations remained for some time quite unsupported. In 1826 Bischoffs experiments only re- sulted in the production of prothallia, all of which after- wards decayed. He showed, however, clearly, f that the processes described by Agardh and Vaucher as cotyledons, were only an imperfect, or intermediate germ -growth (a proembryo or prothallium), which, as in most other cryp- togenic plants, afterwards became transformed into a true embryo. In the autumn of the same year Bischoff supplemented his observations by publishing the result of his examination of some germ-plants of Eq. palustre, found in the autumn of 1827, in their native habitats. % He observed that the young germ-plants burst forth from the interior of the prothallium, and he disproved Vaucher's statement, — viz., that the root which penetrates into the earth is afterwards transformed into the rhizome — by show- ing that at a very early period the germ-plant produces lateral shoots, whose growth from the commencement fol- lows a horizontal or downward direction. He noticed also * 'Mem. d. Musee.,' vol. x, 3823, p. 429. + ' Kryptog. Gewachse,' i. Number?, 1828, p. 43. % See''N. A. A. C. L.,' vol. xiv, p. 785. 20 806 HOFMEISTER, ON THE HIGHER CRYPTOGAMIA. • the development of more than one germ-plant out of the same prothallium. At that time he quite overlooked the sexual organs. Thuret (' Ann. d. Sc./ iii ser., 1849, vol. V, p. 5,) gives the first account of the antheridia of Equi- setum, and the discovery of the archegonia seems to be clue to Bischoff. Mettenius mentions (' Beitrage zur Bot/ Heidelberg, 1850, p. 22), that archegonia resembling the defunct archegonia of ferns were found upon a small piece of a prothallium which he saw in Bischoff's possession. Milde in 1850 ('Linnaea/ xxiii, p. 545), gave a more complete account of the structure of the antherida and spermatozoa. A little later I myself explained the development of the anthe- ridia and spermatozoa, and figured the first stages of deve- lopment of the archegonia (' Vergl. Unters.' Leipz., 1851, p. 102, PI. xx. fig. 62). Soon afterwards, Milde also observed the neck of the archegonium, but without knowing what it was ('N. A. A. C. L.,5 xxiii, 641). In 1852 I observed the development of the embryo ('Flora,' 1852, p. 385), and almost at the same time Milde discovered arche- gonia, and he published his observations soon after mine ('Flora,' 1852, p. 497). I made some further remarks upon my previous observations in the fourth volume of the ' Transactions of the Royal Society of Saxony/ p. 16S. CHAPTER IX. 0PH 10 GLOSSED. The germination and development of ' Botryehium Lunaria Siv. The Moonwort germinates underground. Germ-plants* are sometimes found in the neighbourhood of full-grown individuals in places where the plant is common. They are not unlike torn fragments of branched roots of the plant itself (PI. XLII, figs. 2 — 5), but upon careful exami- nation they are found to be organically closed at all ends. At the point of junction of the roots, a prominent knob is found (PI. XLII, figs. 4, 5). A microscopical analysis of the latter leads to the discovery of a bud buried in a deep, almost closed depression. In September, IS 54, Irmisch and I discovered at a depth of from one to three inches under the surface of the earth, not only a series of productions undoubtedly transitional between germ- plants and full-grown Botrychia, but also germ-plants, to which the prothallium was still attached. The prothallium of Botrychium (PI. XLI, fig. 5), is an oval mass of firm cellular tissue, whose larger diameter does not exceed half a line, and is often less. It is light brown on the outside, yellowish-white on the inside, and furnished on all sides with scattered, rather long, capillary roots. The cells, whose size diminishes from the middle of the prothallium towards the periphery, are filled with large and small lumps * The germ-plants upon which these observations were made came from the neighbourhood of Sondershausen. I am indebted to my friend Professor Irmisch for them. 308 HOFMEISTER, ON of a semi-transparent substance, which is not rendered blue by iodine. On the side turned towards the surface of the earth the prothallium mostly produces antheridia, and on the opposite side archegonia. The former have the appearance of cavities in the mass of the prothallium, which open outwards with a very narrow mouth (PI. XLI, figs. 5, 6, 106.) The spermatozoa are hardly distinguishable from those of the Polypodiacese, except in being half as large again as the latter. The walls of empty antheridia are coloured light brown, and are covered with a granular sub- stance. The archegonia (PI. XLI, figs. 5, 10*), are en- tirely buried in the prothallium, but agree in other respects with those of the ferns. Spores sown artificially swelled to twice their natural size, but underwent no further change. The membrane of a spore thus swollen was found attached to a prothallium, and was recognisable by the three promi- nent ridges of the outer surface, which meet at angles of 120° (PL XLI, fig. 7). The position of the embryo with regard to the prothal- lium differs widely from what occurs in the Polypodiaceae and Rhizocarpese. JBotrychium in this respect is allied to those vascular cryptogams, whose prothallium, like that of the Ophioglosseae, is devoid of chlorophyll (Isoetes, Selagi- nella). The punctum vegetationis of the embryo lies near the apex of the central cell of the archegonium. The first roots originate underneath it near the base of the archego- nium (PI. XLI, fig. 6*; PI. XL1I, fig. lb). In con- sequence of the downward direction of the mouth of the archegonia, the embryo has to turn half round in order to give its bud an upward direction, so that the prothallium is found attached to it laterally. The youngest germ- plants found attached to prothallia, exhibited at least two roots, and also near the punctum vegetationis, a more or less developed hemispherical or oval knob (PI. XLI, figs. 8 — 10). The outside of the latter (on account of the colour) bears only a distant resemblance to the roots : its internal structure differs widely from theirs : the hemi- spherical body consists of wide parenchymatal cells, which become gradually smaller and flatter towards the outer surface : a rudimentary vascular bundle consisting, with THE HIGHER CRYPTOGAMIA. 309 the exception of vessels, only of thin-walled prosenchymatal cells, extends from the nearest vascular bundle of the root for a short distance into the mass of cellular tissue. *This structure, and also the position of the knob on the germ- plant, correspond exactly with the structure and position of the organ found on the embryo of the Polypodiaceae and of other vascular cryptogams, which I have treated as the continuously developing primary axis of the embryo — with the primordial tissue of the embryo, which bears on its lateral surface the formative cells for further development.* In Botrychium this primary axis, if unusually developed \ in thickness, may protrude laterally out of a fissure of the prothalliuin. ,. The roots originate above the knob, the oldest and longest of them being the nearest to it. The direction of the roots is usually opposite to that of the knob. The punctum vegetationis — the growing end of the secondary axis of the embryo-— occupies the highest point of the germ-plant (PI. XLT, fig. 10* ; PI. XLII, fig. lb). This bud, which consists of a flatly-conical group of thin- walled cells, is situated at the base of a narrow, short, trans- verse fissure in the blunt apex of the germ-plant, i. e., the narrow opening of the vaginated scale-like first frond of the latter (PI. XLII, fig. I6). Germ-plants less deve- loped than those above described were also found in quan- tities (PL XLII, figs. 2, 3). They consisted only of the globular knob, and the first or the first and an incipient second root. The punctum vegetationis lay immediately on the upper surface of the knob. In these plants no trace of the prothallium could be perceived. They were probably of the same age as those above mentioned, but stunted and arrested in their development. The nature of the punctum vegetationis of the germ-plant of Botrychium is a matter of special interest, inasmuch as it must afford material assistance in deciding which of two opposite opinions is the correct one. Roperf assumed that the true stem rises vertically, but owing to the non-deve- lopment of the internodes, imperceptibly ; that it produces two leaves or fronds every year, whose stalks grow together * ' Griesebacli Jahresber.,5 1S52, p. 404. f 'Linusea,' vol. i, p. 460; 'Flora Mecklenbergs,' vol. i, p. 110. 310 HOFMEISTER, ON upwards for some distance, and consequently enclose the true apex of the stem, together with the bud which consists of two leaves corresponding with the former in every respect. Presl (' Tent, pterid,' suppl., p. 41) has modified this view. He considers the fertile and the sterile frond as only segments of one and the same leaf, the under segment of which becomes fruitful, whilst the upper remains leaf- like. Mettenius (' Farrne des botan. Gartens zu Leipzig,' 1856, p. 119) and Roper also quite lately (' Bot. Zeit./ 1859, p. 244) have arrived at the same opinion. Braun,* on the other hand, asserts that " the cellular body from which in Ophioglossum the leaves are produced cannot be a special sheathing leaf, nor even of the nature of a stipule or ligule, but it is a cellular body which surrounds the centre of growth, and inside which the leaves are formed in suc- cessive spirals, and there remain. Within this body each leaf forms its own cell, which enlarges with the growth of the leaf, and becomes gradually elevated in a conical form, and ultimately pierced in a sheath-like manner. The fruc- tification of Ophioglossum is axillary ; it is the only leaf •which comes to perfection from a bud in the axil of a sterile leaf. .... Botrychium does not possess the enve- loping cellular body, but on the other hand, in this genus, the leaves form their own sheaths." I have, myself at- tempted to show that the most striking feature sug- gested by Braun exists also in Botrychium, for I assumed that each of the contemporaneously developed pairs of fronds originated in an entirely closed cavity, being the base of the next older pair of fronds. According to this the stem of Botrychium would be a sympodium of the basal portions of successive yearly shoots. f Schacht also agreed in this view when he asserted that Botrychium was repro- duced only by adventitious buds.f These notions, however, are founded in an error, easily accounted for by the want of transparency of the tissue. This error consists in omitting to observe the very narrow points of junction of the cavities of the pairs of fronds as * 'Flora,5 1S39, p. 301. t 'Vergl. Unters.,' p. 88. ' ' t 'DiePflanzenzelle,5 p. 304. THE HIGHER CRYPTOGAMIA. 311 well inter se as with the atmosphere, and with the (hitherto entirely unobserved)* depressed empty space above the vegetative centre or terminal bud of the stem. The second and the third frond also of the germinating • Botrychium are scale-like, of a whitish colour, and composed of elongated cells containing very little solid matter ; never- theless the second frond sometimes, the third always, have a greenish tip (PI. XLII, fig. 9), which is the first indication of the lamina of the frond. In the fourth frond this green portion is more fully formed : it contains on either side two or three feathery flaps, between the lowest of which the rudiment of the fertile frond makes its first appearance in the form of a hemispherical protuberance. It produces only a few, usually two, simple ramifications. This pair of fronds, after breaking through the sheathing portion which forms the principal mass of the third frond, rises above the surface of the earth during the next vegetative period, and represents a diminutive moon-wort, not differing essentially from the older ones. It is not yet ascertained whether, during the subterranean growth of the germ-plant, one only of the scale-like fronds is developed yearly, as is the case with full-grown plants. It is very unlikely that such should be the case : the formation of the first, second, and third fronds probably takes place in the first vegetative period of the germ-plant, which consequently would develope in the second year the first green frond, and at the same time the first spore-bearing frond. Each new pair of fronds makes its appearance near the almost smooth end of the stem of the full-grown plant in the form of a minute flatly-conical protuberance. The basal sheathing portion is first developed by active multi- plication of the cells, especially in the direction of a plane passing through the median line of the organ and radial to the longitudinal axis of the stem, so that the rudiment of the pair of fronds destined to be developed in the third fol- lowing spring covers the terminal bud of the stem, like the cotyledons of a liliaceous plant. The apex of the frond- * This circumstance was not noticed by Presl and Mettenius, but was ob- served by Roper in a paper which appeared after the publication of the above observations. (See ■ Bot. Zeit.,' 1859, p. 242.) 312 HOFMEISTER, ON rudiment is at this time almost hemispherical, without a trace of a division. The fore-edge of the base of a frond is not in organic connexion with the tissue of the end of the stem upon which it rests ; at this place there is a low but tolerably wide fissure (PI. XLII, figs. 10*, 1 1). In the second summer a flat cellular mass first makes its appear- ance out of the rounded apex of the frond-rudiment : this is the rudiment of the sterile frond, upon which the lowest pinnae of the lamina first make their appearance. Whilst the next four, five, or six segments of the sterile frond are making their appearance on the continually-elongating end of the cellular body, (and frequently also at an earlier period), a button-shaped cellular protuberance becomes visible close underneath, and almost between, the oldest pinnae of the sterile frond ; this is the rudiment of the fertile frond (PL XLII, fig. 2). So far the pair of fronds is developed up to midsummer of the second year. The further development remains dormant until the following spring. During this time the transverse fissure which divides the fore edge of the sheathing base of the frond from the underlying tissue continues still open for a short space ; it forms a direct communication between the hollow spaces which enclose the pairs of fronds for the second and third following years and the terminal bud. The transverse fissure first disap- pears during the vegetative period in which all the parts of the pair of fronds are completed,— twelve months be- fore the final appearance above ground, — whilst the rami- fications of the fertile frond proceed from the protuberance in front of the points of insertion of the lowest segments of the barren frond. The development, as in the barren frond and in the fronds of ferns, is centrifugal.* Development of the vegetative organs of Ophioglossum vulgatum. — The thick covering of cellular tissue which sur- * Roper has made an interesting observation ('Bot. Zeit./ 1859, p. 257), viz., that plants of Botrychium Lunaria growing in loose sandy ground sometimes exhibit lateral ramifications on the subterranean stem, originating, it would seem, from the formation of adventitious buds underneath the base of the frond. The growth of these lateral branches resembles to a great extent that of germ- plants, inasmuch as at first they form scaly leaves only, and ultimately, when a leaf first appears above ground, fertile and barren segments are formed contem- poraneously. THE HIGHER CRYPTOGAMIA. 313 rounds the young undeveloped frond of Ophioglossum is not entirely closed. On that side of it which is turned to- wards the next older frond (which has broken out of its covering) it exhibits a narrow opening surrounded by a tuft of jointed hairs constituting in this plant the only appendicular organs of the epidermis (PI. XLI, fig. I). On the inside also the hollow space which covers the oldest of the enveloped fronds is not closed. A narrow cylindrical passage leads from its fore-side into the cavity which en- closes the next younger frond, and from this in like manner into the cavity in which the frond destined for development in the third following year is produced ; and lastly the latter is in open communication with the narrow space above the flat end of the stem (PI. XLI, figs. 1, 2). The fronds surround the end of the stem in a | left handed spiral, as may be clearly seen in transverse sections of the stem at the place where the vascular bundle which passes from the cylinder of vascular bundles obliquely up- wards to the fronds, traverses the cortical parenchyma (PL XLI, figs. 3, 3*). The young frond makes its appear- ance near the depressed, almost flat end of the stem, in the form of a slender conical knob, from the fore side of which a fleshy flat stipule-like excrescence, as in Marattia, is pro- duced (PL XLI, fig. 2h). This cellular mass developes in breadth more vigorously than the part of the frond which is situated above its place of attachment. It embraces about two fifths, and the frond about one third, of the zone of the stem upon which they both stand. The axile stipule attaches itself by its fore edge to the front surface of the stipule of the obliquely-opposed next older frond and at its lateral edges it amalgamates immediately with the stipules of the adjoining older fronds to the right and left,* which stipules have already amalgamated inter se, and pro- trude considerably beyond the youngest frond behind which they stand. By this means the hollow space is formed which encloses the young frond. The walls of the cavity are derived from four different sources. The wall which is turned towards the front surface of the enclosed frond con- * The second and third, reckoned backwards from the frond of which we are speaking. 314 HOrMEISTER, ON sists, in its lower portion, of the hinder side of its own par- ticular stipule, and in its upper portion, of the stipule of the next older frond. The greater part of the wall which is turned towards the hinder side of the frond, is composed of the front surface of the stipule of the third youngest frond, and the remainder of the latter wall is formed of the front surface of the stipule of the second youngest frond. The different stipules amalgamate at all points of contact with the exception of those points which are coincident with a line perpendicular to the apical cell of the stem. Consequently there remains a very narrow open canal leading to the apex of the stem into which the different cavities enclosing the fronds debouch by a small opening (PL XLI, figs. 1, 2). If a careful section be made through that part of the stem in which the punctum vegetationis lies, the three- sided apical cell of the stem is seen at the base of the canal* leading to the punctum vegetationis, surrounded by the youngest secondary cells (PI. XLI, fig. 4). Longitu- dinal sections through the terminal bud (PL XLI, fig. 2s). exhibit most distinctly the deep depression of the apex of the stem into the prematurely developed peripheral tissue ; a phenomenon which, here as elsewhere, depends upon an early vigorous diametral cell-multiplication accompanied by a very slight almost obsolete longitudinal cell-multipli- cation. The course of the vascular bundles of Ojjluof/lossum is simple ; they form a cylindrical net, one of the meshes of which corresponds with each frond, and sends out to the frond a vascular bundle from its apical angle. Frequently, however, all the cellular tissue which fills up the meshes is transformed into scalariform vessels, so that the stem then, for considerable distances, exhibits a closed cylinder of vessels. Sometimes this condition is found only in one longitudinal moiety of the stem, whilst in the other the distribution of the meshes of the vascular bundles is the same as in the neighbourhood of buds. Roots — re- markable for the slight development of the root-cap — spring * The canal is somewhat enlarged above the punctum vegetationis. THE HIGHER CRTPTOGAMIA. 315 from the bundles adjoining the sides ~of the meshes of the reticulated vascular bundles of the stem ; their position with regard to the fronds is not a definite one. Ojj/iio- glossum vulgatum (like 0. pedimculosum), is often repro- duced by root-buds. The new plant is reproduced by the multiplication of a cambial cell of the vascular bundle which traverses the longitudinal axis of the widely-creeping adventitious root, and is at first concealed in the cortical parenchyma of the root. However, this mode of repro- duction is not so essential for the economy of the plant as in 0. pedunculosum , a species which may be called mono- corpous, inasmuch as its shoots usually die off when they have brought forth sporangia : its perennial duration rests, it may be said, exclusively upon the adventitious shoots of the roots.* The appearance of fertile fronds on the front surface of the sterile ones is the same in Ophioglossum as in Botry- chium, and justifies the same conclusion, viz., that the fertile frond is a shoot of the sterile one. Mettenius has published some observations upon the germination of Ophioglossum (f Farrne des Leipz. Botan. Gartens,' Leipzig, 1856,' p. 119). He found the sub- terranean prothallia and germ-plants of Ophioglossum jjendunculosum growing in the neighbourhood of the mother-plants. Artificial sowings of the spores were un- successful. The youngest prothallia which he found con- sisted of a small globular knob, of from ^] to 1^ lines in diameter, from which a conical prolongation of about twro lines in length proceeded. The delicate-walled cells of the parenchymatal tissue of this knob were filled with amyloid granules : the superficial cells, and the capillary roots proceeding from them, were already dead. The formation of the knob was thus already ended, and the growth of the prothallium limited to the prolongation, whose cells filled with thick protoplasm, were in an active state of division. In older prothallia the prolongation attains a considerable length, as much as two inches. Its growth arises from the repeated division of a single apical cell by means of oblique septa. The daughter-cells ap- * Like Pi/rola unifiora. See Irmiscli in 'Plot. Zeit.,' 1856. 316 H0FMEISTER, ON peared in some prothallia to be arranged in three rows. Slender prothallia consist throughout, even in the cylin- drical portion, of tissue homogeneous with that of the knob. In thicker prothallia a string of cells in the axis of the cylinder attains to double the length of the cells of the peripheral tissue. The former contain only a few amyloid granules ; the latter are quite filled Avith them. Dichotomous prothallia were but rarely seen, and a repe- tition of the division of one of the branches was of still rarer occurrence. When in a normal position the apex of the prothallium tends to grow to the surface of the ground. As soon as it reaches the light it assumes a green colour, the amyloid granules receiving a covering of chlorophyll. The effect of light seems to be to limit the further growth of the prothallium : the protruding apex either dies, or becomes flattened, or divides into two or three small lobes, which develope themselves no further. Antheridia and archegonia are met with on the same prothallium without any definite number or arrangement. They are either altogether wanting on the knob, or are present in small numbers at the base of the prolongation. They are always plentiful upon the latter. Slender prothallia produce more antheridia than archegonia : in vigorous prothallia the archegonia are most numerous. The development of the sexual organs progresses from the base of the prothallium towards its apex. Their structure entirely resembles that of the same organs in Botrychium. The youngest ob- served embryos are ellipsoidal bodies consisting of few cells. That end of the rudiment of the embryo which is turned towards the apex of the prothallium forms the first leaf; the opposite end forms the first adventitious root. Both cause an expansion of the surrounding tissue ; the leaf makes itself a passage for a longer or shorter distance into this tissue, sometimes penetrating, with a turn downwards, as far as the knob, and growing through it. After its egress the leaf is enclosed by the drawn-out portion of the prothallium. Its fore-surface is turned towards the apex of the central cell of the archegonium, a circumstance in which it agrees with Botrychium, and differs from the Polypodiacese and Rhizo- carpeee. The first root, as soon as it is formed, bends out- THE HIGHER CRYPTOGAMIA. 317 wards, and pierces through the proth allium. Towards the base of the central cell of the archegoniura the rudiment of the embryo is developed into a rounded inconspicuous swelling, consisting of wide cells filled with amylum. This swelling is the continuously-developing primary axis of the embryo. CHAPTER X. PILULARIA GLOBULIFERA AND MINUTA ; MARS1LEA PUBESCENS. The fruit of Pilularia is the transformed end of a furcate branch, which is apparently produced in the axil situated between one of the long thin fronds and the" principal axis, and which in Pilularia minuta is usually a lateral bud situated in one of the normal bifurcations of the stem. In P. minuta it forms when in the very young state, a globular mass of delicate homogeneous cellular tissue flattened at the apex. An outer layer of cellular tissue, composed of four layers of cells, surrounds two lenticular cavities which are separated from one another by a thick septum. The inner side of the outer wall bears the rudiments of sporangia. In this species, even at this early period of development, no traces of the junction of the amalgamated parts are visible at the apex of the fruit (PI. XLIV, fig. 8). In the young fruit of Pilularia globulifera the commissures of the four delicate cross septa of the divided chambers exhibit very manifest lines of junction, which, in the half developed fruit (upon the outer wall of which numerous hairs are formed) are still unclosed. Here also clavate masses of cellular tissue, the first rudiments of the sporangia, spring out of the inner wall of the outer surfaces of these chambers. In Pilularia minuta there are only two or three of these masses, in other species as many as eight vertically one over the other. The wider end of the very young sporangia, which is borne by a short thick stem, exhibits a large central cell surrounded by a double layer of smaller cells (PI. XLIV, fig. 3). HOFMEISTER, ON THE HIGHER CRYPTOGAMIA. 319 The central cell divides into two (PI. XLIV, fig. 4), and each of the cells thus formed divides repeatedly into two cells turned towards all three directions of space. The cells of the two enveloping layers meanwhile divide only by septa perpendicular to the outer surface. The sporan- gium thus becomes a globular mass of large cells enclosed by a double layer of smaller tubular cells, and borne upon a very short cylindrical stem. The larger cells — the mother-cells of the spores — isolate themselves during the farther growth of the fruit ; the cells of the inner layer of the covering produce in the mean time numerous free small cells in their interior, which, as the membranes of their mother-cells divide, escape from the latter into the inner cavity of the sporangium (PI. XLIV, fig. 5) : at a later period they are absorbed. Each spore-rnother-cell when it has become free divides contemporaneously into four daughter-cells which are the special mother-cells of the spores. This stage of development is attained at an earlier period by the lower sporangia than by the upper ones. After the walls of the special mother-cells have increased considerably in thickness, a spore is produced in each of them (PI. XLIV, figs. 6, 10, 11). Up to this point all the sporangia behave alike. From this time however the further development of the lowermost sporangium of each compartment of the fruit differs very materially from that of the others. In the sporangium in question the special mother-cells and spore- cells (which are arranged in sets of four) all die slowly off except one (or two). The spores of the one set which remains soon become free by the absorp- tion of the walls of the mother-and special-mother-cells, and assume a globular form. At first all four increase rapidly in size (PL XLIV, fig. 7); their walls then become much thickened but unequal-sided, so that the globular inner cavity of the young spore becomes excentric (PL XLIV, figs. 6, 11). The growth of one of the spores soon exceeds that of the others. The former alone continues to develope itself, whilst the growth of the others is arrested, and being- pushed aside — like the remains of the mass of special mother-cells — by the one growing spore, they are soon dis- solved. When the fruit is ripe the large spore occupies the 320 HOFMEISTER, ON entire cavity of the sporangium, which in the mean time has become much enlarged. The shape of the spore changes during its growth from that of a globe into a short pear- like form (PL XLIV, figs. 12, 13, 14), and from the latter into that of an oval, slightly constricted at the equator (PI. XL1II, fig. 1). In its narrow end, which is turned towards the apex of the sporangium, its nucleus is found embedded in a mucilaginous layer which clothes the wall. By the time the spore has become globular a transparent outer membrane is distinguishable, differing from the deli- cate inner wall. Afterwards a second membrane, composed of prismatic closely appressed columnar cells, is formed upon this inner layer of the outer membrane. These columnar cells are very short at the base of the spore, much longer in its upper third part, but altogether wanting at the apical point of the spore. The ripe spore is clothed by a thick gelatinous layer, the component parts of which are also prism-shaped. This layer also does not cover the apex of the spore, to which there is access by a funnel-shaped passage through the gelatinous layer (PI. XLIII, figs. 1, 7). The glassy inner layer of the outer membrane extends beyond the apex of the ripe spore in the form of a conical arch, open at the tip. It appears torn into nu- merous— in Pilularia glohullfera as many as eight — three- sided shreds. The spores which originated in the upper sporangia are transformed jointly and severally into much smaller globular spores, exhibiting at their apices three fissures of the exosporium, meeting at angles of 120°. These fissures point out the edges of contact of four spores inside a set of special mother-cells. In Pilularia minuta the small spores also are clothed wTith a gelatinous layer, which is wanting in those of P. globulifera. No trace of a nucleus is visible either in the large or small spores when ripe. The contents of both consist of a mass of albuminous fluid containing numerous firm granules of a substance rendered brown by iodine, as well as oil-drops and starch -grains. In the large spores the starch-grains, which are of a great size, exhibit manifest lamination, and a central cavity with fissures proceeding from it. In the THE HIGHER CRYPTOGAMIA. 321 •small spores the starch grains are exceedingly small and exhibit no structure. The ripe fruit of PiMaria glohdifera splits into four valves. The sporangia burst by the vast expansion of the internal jelly produced by the dissolution of the special mother-cells ; the jelly becoming distended by the absorp- tion of water. Numbers of large and small spores thus become free. A few hours after this process the germination of the large spores commences. The first indication of this is the appearance of a lenticular agglomeration of finely granular protoplasm on the inner side of the apex of the spore, underneath the pyramidal arch formed by the triangular lobes of the inner membrane. This mass of protoplasm is soon clothed with a membrane, and then constitutes a very flat cell with a circular outline (PL XLIII, fig. 2). Shortly afterwards, before the expiration of twenty-four hours, the conical cavity formed by the lobes of the glassy layer of the outer spore-membrane appears to be filled by a cellular body, consisting of a large central cell surrounded by a simple layer consisting of a few tabular cells (PI. XLIII, ligs. 3, 3*, 5). I did not succeed in finding the interme- diate stages between this condition and the one previously described, but I do not doubt that this cellular body is pro- duced by repeated bi-partition of the lenticular cell which is arched above. The lenticular cell may be first divided into four, by the production of septa cutting one another at right angles. It is probably one of these four cells, which—- being divided by a diagonal septum inclined inwards — gives rise to the formation of the central cell, which latter cell growing more vigorously than the rest, soon occupies the middle point of the cellular body, and is covered by the other four cells which in the mean time have divided by septa perpendicular to the outer surface (PI. XLIII, fig. 3). The central cell afterwards divides into a lower, flat, tabular cell, and an upper, spherical one. The lower tabular cell soon divides by repeated bi-partition into four (PL XLIII, fig. 5), then into eight, and afterwards into twelve cells. In the lower part of the prothallium thus formed, the cells which surround the sides of the larger central cell ultimately 21 322 HOFMEISTER, ON divide by septa parallel to the outer surface (PI. XLIII, tigs. 7 — 9). The four cells which project beyond the apex of the larger cell expand above in a papillate manner (PI. XLIII, fig. 5), after which each of them divides by a transverse septum (PL XLIII, fig. 4). All the cells of the prothallium, with the exception of these papillate cells and the large central one, form chlorophyll granules in their interior. The increase in the circumference of the pro-embryo causes a bending back of the surrounding pointed shreds of the inner layer of the outer spore-membrane. The pro-embryo be- comes visible in the form of an emerald-green wart at the apex of the germinating spore. The four papillate cells at the apex of the pro-embryo, and their four basal cells, now part asimder at the commissure, and thus an open canal, leading to the large central cell of the pro-embryo, is pro- duced (PL XLIII, figs. 8, 9). Some of the papillate cells sometimes divide now by a second transverse septum (PL XLIII, fig. 9). A daughter-cell is in the mean time formed within the large central cell, the contents of which latter cell are finely granular and mucilaginous. This daughter-cell soon after its formation almost entirely fills the mother-cell (PL XLIII, figs. 8, 9). The central cell of the prothallium, and the four projecting cells, constitute the archegoniiun. The prothallium of Pilularia never produces more than one archegoniiun. The development and structure of the prothallium of P. minuta entirely resemble those of P. globulifera as far as my observations extend, with the single exception that the base of the prothallium in the former is somewhat more strongly constricted than in the latter, so that the prothal- lium appears more spherical. The small spores swell slightly after becoming free. The outer spore-membrane splits at the apex, forming three fissures, the direction of which corresponds to the edges of contact of the spore with the three sister-spores produced in the same mother-cell. The inner spore-membrane bursts, and some small spherical cells escape from the inner cavity of the spore ; these cells contain small starch - grains and a lenticular vesicle attached to the wall (PL THE HIGHER CRYPTOGAMIA. 323 XLIII, fig. 6). The lenticular vesicle encloses a very thin spermatozoon rolled up in three or four coils, which soon exhibits a rotatory motion in the interior of the enveloping cell. By rupture of the cell-wall it ultimately becomes free (PL XLIII, fig. G';), and moves about in the water with helicoid contortions. Its fore-end, which is hardly thicker than the other, carries a few oscillating cilia (PI. XLIII, fig. 6, c—f). I have observed the actual entrance of the motile spermatozoa into the mouth of the archego- nium (PL XLIII, fig. 7). A short time after the appearance of the spermatozoa in the neighbourhood of the large germinating spore, the large cell produced in the central cell of the prothallium appears divided into a few cells. The arrangement of these cells shows that their formation results from repeated division of the mother-cell by means of septa at right angles to a plane passing through the longitudinal axis of the archego- nium (PI. XLIII, figs. 10, 11). The cells of the prothal- lium, with the exception of the four papillate cells, multiply in the mean time actively in all three directions of space, especially the cells of the lower portion. Repeated divi- sion also occurs in the cells of the few-celled body enclosed in the prothallium, which body is the rudiment of the new plant, or embryo ; and the result is, that the latter soon becomes a body composed of very small cubical cells, and having the form shown in PI. XLIII, figs. 12, 13. That end of the embryo which is turned away from the cavity of the large spore, and which points obliquely up- wards, soon exhibits a more active development than is seen in its other parts. It is transformed into a cone which becomes continually more pointed as its development pro- gresses. The multiplication of the cells is caused by con- tinual division of the apical cell by differently inclined septa, and by the division of the cells of the second degree thus produced, by radial septa, and then by septa parallel to the longitudinal axis of the cone. The mode of cell-multiplica- tion resembles in its essential features that of the first frond of the Polypodiacese (PL XLIII, fig. 15). A similar cell- multiplication, which at first, however, is very slow, takes place immediately underneath the place of origin of the 324 HOEMEISTER, ON cone just mentioned (the first frond). Near it, at the oppo- site end of the embryo, a similar but shorter mass of cel- lular tissue soon begins to protrude (PL XLIII, fig. 15). This is the first root, an adventitious root, differing in no respect from those which afterwards appear in numbers. It grows, like the adventitious roots of the Polypodiaceae and Equisetacese, by division of a cell in the interior of the tissue nearly underneath the apex of the organ. This divi- sion is produced partly by septa almost parallel to the basal surface, which is turned towards the apex of the root, and partly by septa parallel to the lateral surfaces which converge at an obtuse angle. The cells of the second degree which lie towards the apex of the root have the form of a meniscus ; their first division takes place by a vertical septum bisecting the cell, after which a septum is formed cutting the one last formed at right angles. The four cells thus formed divide several times by longitudinal septa, but not by transverse septa (PL XLIV, fig. 2C). The part Of the root underneath the punctum vegetationis grows much slower than the part above it. Close above the punctum vegetationis the four outer cellular layers of the root separate from the two axile ones, and an annular air-cavity is produced. A similar air-cavity is formed in the first frond, even in its early youth (PL XLIV, fig. 1). The cells of the prothallium enclose the embryo on all sides even during the development of the first frond and the first root; they are much extended in the direction of the length of this organ, and gradually compressed and ab- sorbed even up to the outermost layer. Contemporane- ously with the first appearance of the root, the part of the embryo wrhich is turned towards the large cavity of the spore, and. separated from the latter by a simple cellular layer, becomes strongly concave (Plate XLIV, fig. I). During the further development of the embryo it becomes more and more arched, until at last it has assumed the form of a short conical cellular mass enclosing an elongated pear- shaped cavity in connexion with the interior of the spore (PL XLIV, fig. 2). The cellular layer of the prothallium which encloses this cavity is afterwards dissolved. The distended portions of the proembryo which enclose the THE HIGHER CRYPTOGAMIA. 325 first frond and the first root as it were with a sheath, are ultimately unable to keep pace with the growth of the latter. These portions are ruptured, and the apices of the frond and of the root become free. Almost at the same time the second frond appears near the place of origin of the first frond, and separated from it by the blunt end of the future principal axis : it has the form of a conical wart (PI. XLIV, fig. 2), which by continual multiplication of the cells of its apex grows rapidly in length. As the plant becomes further developed the joints of the stem elongate considerably : the terminal bud remains rather sharply conical. From the underside of the stem, in the immediate neighbourhood of the terminal bud, numerous bicellular hairs enclosing the latter are pro- duced, and further backwards, close underneath the place of origin of each frond, adventitious roots make their appearance. The basal cell of the hairs which are situ- ated on the outer wall of the fruit, divides repeatedly, at a late period and after the complete formation of the apical cell, by transverse septa ; in this respect these hairs bring to mind the scales of the Polypodiacese. The large oval ripe spore of Marsilea pubescens, at the time when it is discharged from the ruptured capsule, is of a similar nature to that of PiMaria globulifera. The inner cavity of the spore is clothed with a very delicate membrane, which becomes somewhat more manifest by distension, upon the application of caustic potash. In contact with this membrane there is found at first a tole- rably thick glassy layer of a yellowish colour. Except at the apex of the spore — the spot, that is to say, which answers to the place of contact of the spore with its three sister -spores produced by the same cell — this glassy membrane is surrounded by an outer membrane, the component parts of which are prism-shaped, and arranged in a radial manner. Out of this outer membrane, and upon the apex of the spore, a portion of the middle membrane protrudes in the form of a blunt wart. The spore is enclosed in a thick layer of clear transparent homo- geneous firm jelly, which extends beyond the apex of the spore almost throughout its entire length. An enlarged 326 HOFMEISTER, ON passage leads through this gelatinous mass to the pro- truding portion of the inner spore-membrane. At the base of this passage are found the debris of the three sister- cells, which were produced in the same mother-cell with the spore. These are small shrivelled tetrahedral cells, which are attached by one of their points to the wart-like protru- sion of the inner layer of the outer membrane of the spore (Pl.XLIV,fig. 16)." The inner cavity of the spore is filled with a fluid con- sisting of albuminous matter and yellow oil, and containing numerous large and small starch granules. The larger granules exhibit manifest lamination, and sometimes also indications of twin-granules. The protruding portion of the apex of the spore is separated from the rest of the cavity of the spore by a very delicate septum. It forms a distinct cell filled with a finely granular mucilage. When treated with caustic potash it exhibits in its middle point a nucleus of an ellipsoid shape (PL XLIV, fig. 18). This cell is the mother-cell of the prothallium. Germination begins a feAV hours after the escape of the spore from the opening fruit. In the primary cell of the prothallium two new nuclei appear in the place of the pri- mary nucleus which disappears (PI. XLIV, fig. 17), and shortly afterwards the cell is divided into two longitudinal halves by a vertical septum. The longitudinal division is repeated in each half by a septum at right angles to the former one (PL XLIV, fig. 19). In the mean time an orange-red colouring matter appears in the mucilaginous fluid contents of the two or the four cells, in the form of small vesicles (or drops ?) By a series of bipartitions the prothallium is transformed into a hemispherical cellular mass (PL XLIV, figs. 20 — 24), consisting of a central cell with mucilaginous contents, supported upon a double layer surrounded by a triple layer of narrow cells. The four longitudinal rows of cells which extend beyond the apex of the central cell, part asunder at their edges of contact, and an open narrow passage leading to that cell is formed (PL XLIV, fig. 22). The structure of the prothallium of Marsilea consequently agrees in its essential features with that of Pilularia, except THE HIGHER CRYPTOGAMIA. 327 that it is more massive, and differs from Pimlaria in the subordinate point that the cells which form the mouth of the passage leading to the central cell do not become papil- late. Here, as there, the entire prothallium is devoted to the formation of one archegonium. The spores of Marsilea which came under my observation did not become further developed. The small spores pro- cured contemporaneously from the same fruit/'5 Avhich was 8^ years old, exhibited no change : it would seem that these latter lose their power of germination sooner than the large spores. The prothallia died when they had attained the stage of development necessary for impregnation, inasmuch as the small spores mingled in the surrounding fluid de- veloped no spermatozoa. I observed the same phenomenon in Pilularia minuta. * For which I was indebted to the kindness of Alexander Braun. They were part of the same gathering which yielded the materials for his and Mette- nius's observations, and were found at Montpelier in 1S42. CHAPTER XL SALVINIA NATANS. At the latter end of autumn the large ripe spores of Salvinia form ellipsoidal cells whose longitudinal diameter is from \'" to f, clothed with a thick outer membrane in which two layers are visible, the inner one being horny, and the outer one granular and of a looser texture. At the apex of the spore — that pole of it which is tinned away from the stalk of the sporangium — the outer membrane exhibits a division into three lobes, the boundaries of which answer to the edges of contact of the young spore with the three sister- cells which were produced contemporaneously in the same mother-cell. The contents of the spore look like a quantity of oil and albumen. Spherical drops, both large and small, of a half fluid substance, swimming in a thinner fluid, fill the inte- rior of the spore. The apical portion of it is occupied by a larger accumulation of the like mucilage. The history of the development of the spore, which when half ripe appears filled with delicate round vesicles, as well as the behaviour of the above spherical masses dming germination, render it not improbable that some at least of those large drops arc cellular formations filled with nutritive matter destined for the germ-plant. During the winter the walls of the fruit perish. The sporangia — as well those which contain one large spore each, as those which contain small spores — fall from their stalks, HOEMEISTER, ON THE HIGHER CRYPTOGAMIA. 329 and are carried up to the surface of the water in the early spring by the surrounding growing masses of confervas. In the last weeks of March a short three-edged cellular body of a beautiful emerald-green colour is seen at the apex of the spore, between the three separated lobes of the outer spore-membrane. This body is the prothallium. The prothallium is produced by continued bi-partition of the agglomeration of granular mucilage which was spread over the arched apex of the interior of the spore, and has become transformed into a flattened cell (PI. XLV, fig. 1). The prothallium whilst still very young is already multicel- lular, and exhibits a simple cellular layer, spread over the inner arcuate cavity of the macrospore (PI. XLV, fig. 3). When seen from above it appears to have a bluntly trian- gular form (PI. XLV, fig. 4). From the arrangement of the cells it may be concluded, that when the primary mother- cell was first divided by septa perpendicular to the mem- brane of the macrospore, a three-sided and a four-sided moiety were normally formed upon each division. As soon as the middle of the prothallium, by transverse division of its cells, has attained a thickness of three cellular layers, the first archegonium is formed at its apex. The position of the cells of the prothallium — which at this time is still entirely enclosed by the lobes of the spore-membrane and is devoid of chlorophyll — when seen in longitudinal section, shows clearly that this first archegonium was formed by transverse division occurring twice in the middle cell of the prothallium. The middle of the three daughter-cells becomes the central cell of the archegonium. At first it is much drawn out in width and is almost tabular (PI. XLV, fig. 5). The upper cell first divides twice by longitudinal septa arranged cross- wise. The four daughter-cells are afterwards, and after their free outer surface has become arched, divided by trans- verse septa (PL XLV, fig. 6). By parting asunder at their edges of contact they form the canal leading to the central cell. In the lower one of the three cells which are derived from the middle cell of the prothallium, the cell-multiplica- tion which prevails in the entire mass of the prothallium is continued, and by this means the circumference of the latter is considerably enlarged, and thus — some time after the 330 HOFMEISTEll, ON formation of the first archegonium — the three lobes of the outer spore-membrane* are bent back. The formation of the subsequent archegonia, which appear in numbers upon the prothallium, takes place in a similar manner by transverse division of one of the cells of the outer surface of the prothallium. The central cell is formed from the inner of the daughter-cells, whilst from the outer ones are produced the boundary cells of the canal leading to the central cell. After the formation of those archegonia, which are situated near the highest of the three blunt angles of the three-sided, cushion-shaped prothallium, transverse divi- sion is sometimes several times repeated in the covering- cells of the archegonia, and in the tissue surrounding them. The canal leading to the central cell of these latter arche- gonia is of considerable length, and has a bent course (PI. XLV, fig. 10). At the commencement of the formation of the archego- nium the central cell is quite filled with granular mucilage, and a nucleus with more transparent contents floats in the middle of it (PI. XLV, fig. 5). Afterwards, as the central cell increases in size, the granular protoplasm accumulates so as to cover the wall, and the nucleus is imbedded in it. One or two oval or pear-shaped cells, in contact with the inner Avail, are now visible in the upper arch of the cell : these are the germinal vesicles (PI. XLV, figs. G — 9). They not unfrequently occur in pairs, a fact not hitherto observed in any other vascular cryptogam. During these changes in the large spores, the sporangia which contain small spores are also carried up to the surface of the water, either in groups or singly. In autumn, when the mother-plant dies, the small spores contained in each ripe sporangium are firmly attached to one another and not capable of isolation, their outlines being hardly distinguish- able. This has been observed by Mettenius,f and the same is the case even in early spring. If however such a spo- rangium be subjected at this time to gentle pressure under * The two glassy iuner layers remain during this process, as during the entire act of germination, quite unchanged (PL XLV, fig. 2). The notion of their conversion into an apparently cellular mass is erroneous. (Mettenius '.Beitr. z. K. d. Rhizocarpeen/ p. 17.) t 'Beitr. zur K. der Rhizocarpese.5 Frankfort, a. M., 1846, p. 19. THE HIGHER CRYPTOGAMIA. 331 the microscope, spherical or elongated ellipsoidal cells may be seen to escape from the fissures between the cells of the wall as they part asunder. These spherical or ellipsoidal cells are divided by delicate septa into from two to six com- partments, filled with finely granular mucilage, in which one or several nuclei float. Afterwards each compartment contains from one to four free roundish cellules. Each of these cellules encloses a spiral thread, a spermatozoon, which after its escape by the rupture of the wall of the cellule moves about actively in the water. Many of these cellules — those namely which are less developed — contain, instead of the spiral thread, a transparent vesicle (or nucleus?) in the centre, in the interior of which dark spherical lumps of mucilage (nucleoli ?) are sometimes visible. By careful dissection of microsporangia under the microscope at the beginning of March, I succeeded in separating entire the inner cell membranes of the microspores from the glutinous contents of the microsporangia, which consisted of the de- tached and agglomerated exosporia of the microspores. When isolated they appeared in the shape of cellules already extended to an oval form, having a major axis of 17*5 m.m.m., with turbid granular contents, and a spherical trans- parent nucleus (PL XLIV, fig. 26). In the latter half of March the contents of the microsporangia are pultaceous : the cellules lie free in the granular mucilage of the interior, Avhicli is brownish green under transmitted lis;lit. Bv this time the contents of the cellules are transparent, and most of them are divided transversely (PI. XL1Y, fig. 5). Further divisions lead to the formation of a multicellular oval body, the antheridium, in the compartments of which the sperma- tozoa are formed in the interior of spherical vesicles (PI. XLIV, figs. 27 — 30). By using higher powers of the microscope, it may be seen that the cilia of the spermatozoa, which are less numerous than in the Polypodia cese, are of unusual length (PI. XLIV, figs. 31, 32). The movements of the spermatozoa are exactly like those of the spermatozoa of the PolypodiaceEe, so far as regards the direction and the rapidity of the motion. I have several times in different years found spermatozoa of this kind swimming about in the water in which Salvinia 332 HOFMEISTER, ON had germinated. There can be no doubt that in the regular course of nature, they are set free from the microsporangia by gradual decay of the walls of the latter. In archegonia which die without being impregnated and become brown, the remains of the germinal vesicle are still visible, and of their original size. Those archegonia how- ever which by the widening of the central cell and the multiplication of the cells adjoining to the latter give evidence of impregnation, exhibit a considerable increase in size of the germinal vesicle, which now almost fills the central cell (PI. XLV, fig, 9).* As soon as it quite fills the central cell, the first division of the impregnated ger- minal vesicle takes place, by means of a transverse septum slightly inclined to the longitudinal axis of the archegonium. Cross longitudinal septa are produced in each of the two halves, and then again slightly inclined transverse septa are formed. The succession of these divisions is not subject to any definite rule (PI. XLV, figs. 11 — 14): the final result however is always the same, viz. the forma- tion of an oval cellular body having its longitudinal axis at right angles to that of the archegonium, and having one of its apices, the blunter one, composed of four cells placed crosswise (PI. XLV, fig. 14c), whilst the other apex only exhibits a single top cell (PI. XLV, figs. 13, 14*, 15c). I will call the latter the fore-end, and the former the hinder end of the embryo. At the hinder end the number of the cells increases almost uniformly in all directions (PI. XLV, figs, 19, 21, 23). At the fore-end on the other hand a particularly active cell- multiplication occurs, which commences in the growing cell adjoining the original apical cell of the pointed end of the embryo. This cell-multiplication is produced by septa inclined alternately forwards and backwards, and at right angles to a plane passing through the longitudinal axis of the archegonium and of the oval embryo. In this way an excrescence originates which is directed upwards (PI. XLV, * I did not succeed in observing spermatozoa in the interior of these arche- gonia. A phenomenon which has been observed in different mosses and in Pteris aquilina occurs, as an irregularity, also in Salvinia, viz., that the interior of the archegonium enlarges more rapidly than the imperfectly developing embryo, which is thus surrounded by a wider cavity (PI. XLV, fig. 12). THE HIGHER CRYPTOGAMIA. 333 figs. 21 — 23,) and which becomes rapidly wider by longitu- dinal divisions,* first of the apical cell, and then of the other cells of the fore-edge (PI. XLV, figs. 20, 24,) of the flat and leaf-like structure. This excrescence is the first leaf. Soon after its appearance, a shoot of the fore-end of the embryo is observable underneath its place of attachment and before its median line. This shoot appears at first as a hemispherical, slighty protuberant, cellular excrescence. The arrangement of the cells of the embryo, especially if observed in a longitudinal section through the median line of the first leaf (PI. XLV, fig. 21), leads to the conclusion that the excrescence was formed by the division of the apical cell of the fore-end, first by a septum inclined towards the first leaf, and then by a septum inclined in the opposite direction.! These divisions are repeated in regular suc- cession in the terminal cell for the time being, which cell has the form of a segment of a sphere. This excrescence is the principal axis of the germ plant. On the right and left of it the margin of the lamina of the first leaf is deve- loped into ear shaped appendages (PI. XLV, figs. 24, 25"-c)- AVhilst these — extending beyond the end of the principal mass — approximate more and more nearly to one another, the still leafless apex of the leafy shoot ramifies twice, sending out the more slender ramification (normally) first to the right and then to the left} (PI. XLV, fig. 25"-<:). In the mean time the cells of the hinder end of the embryo only multiply to a small extent. That end is now attached at right angles in the form of a stalk-like prolonga- tion, to the flat, proportionably thick, first leaf, which forms the principal mass of the embryo (PL XLV, figs. 22, 2(5, 2b"'b'c). Its cells are now throughout almost cubical. This growtli of the first leaf ruptures the prothalliuin (PI. XLV, fig. 26). By the expansion of the cells of the hinder end of the pro-embryo, — which expansion takes * These divisions are interpolated between the divisions produced by septa inclined to the outer surfaces. f The succession of the division may be inverted (PI. XLV, fig. 19). X The observer is supposed to look frum above upon the fore-surface of the first leaf. 334 HOFMEISTEB, ON place suddenly and at right angles * to the surface of the first leaf — the first leaf arid the principal bud are carried upwards out of the fissure (PL XLV, fig. 27). The stalk- like organ which hears the first scutiform leaf is therefore not formed exclusively, or even mainly, by the longitudinal extension of either the lower end of the embryo which lies opposite to the entrance to the archegonium, or of the primary axis, which in Salvinia is only very slightly deve- loped. The hinder end of the embryo plays the principal part in the formation of the above-mentioned stalk. The vascular bundles originate from the stalk. Never- theless, the interior of the latter does not produce any spiral vessels which pass immediately into the first leaf and the stem above it (PI. XL\r, fig. 28) ; here all the cells of the bundle remain thin-walled. The second and the third leaf are formed behind the ramifications of the principal bud, without the occurrence of any new ramifications (PL XLV, fig. 28, 29). Then, however, the less vigorous branches become elongated (usually ramifying again at the same time), and form the leafless branches, of limited growth, which hang down into the water, and which have been generally considered by the earlier writers as adven- titious roots, f These brandies grow by the repeated divi- sion of an apical cell by means of septa, inclined alter- nately in two directions, and by the division of the cells of the second degree by a radial longitudinal septum, and then by a transverse septum perpendicular to the axis. Afterwards the cells divide, by septa parallel to the axis, into inner and outer cells, and this latter division is several times repeated in the cells of the circumference. I observed myself — what Savi had previously noticed — that microspores which had been carefully kept apart from microsporangia developed a prothallium, but no embryos. It is but rarely that two embryos are produced in the same prothallium. I have only observed the occurrence twice. The Rhizocarpeee have always attracted a considerable * This direction forms an angle of about 30° with the longitudinal axis of the embryo. f Mettenius has correctly described them, 'Beitr. zur Botanik.,' Heft i, (Heidelberg, 1850) p, 15. THE HIGHER CRYPTOGAMIA. 335 amount of attention from botanists, especially their ger- mination.* The knowledge of them had progressed considerably when Schleiden's well-known work threw the whole subject into confusion. f Schleiden alleged that the small spores (pollen- grains, as he called them) emit a tube, which penetrates into the prothallium developed from the large spores, and is there transformed into the embryo. Schleiden made these statements with a positiveness which would have admitted of no contradiction, had it not been for some almost unaccountable errors of observation. Mettenius, in his beautiful and accurate work, ' Beitrage zur Kenntniss der Rhizocarpeae,' did not venture to attack this theory of Schleiden, although he was unable to verify any one of Schleiden's observations. Nageli j never saw the small spores of Pilularia emit tubes, but he made the important discovery that the mother-cellules of the Sperma- tozoa originate in them. He pointed out anew that the four papillate cells of the mouth of the archegonium — which Schleiden, strange to say, described as "pollen grains seated upon the nucleus, and which had developed tubes " — could not be pollen-grains, but that they rather originated from the prothallium. I published the outlines of the account given above many years ago.§ Mettenius, in a subsequent work, adopted my views. || * The earlier literature is fully treated of in Mettenius's work ' Beitrage zur Kemitncss der lihizocarpeen/ Frankfurt a. M., 1846, p. 1. f ' Grundziige/ 2nd edition, p. 101. % ' Zeitschri'ft f. Botanik.,' Heft 3 and 1, (Zurich, 1816,) p. 188. f 'Bot. Zeit.,' 1819, No. 15. i| ' Beitr. zur Botanik./ 1 Heft, Heidelberg, 1850. CHAPTER XII. ISOETES LACUSTRIS. The development of the Isoetese is a subject of great importance in botanical morphology. They are the only known family in which the principal axis never ramifies. As far as present observations extend, they alone, in the vegetable kingdom, are distinguished by the entire sup- pression of a supplementary cell-multiplication in the joints of the stem. In other stems, however little their inter- nodes may be developed, an active multiplication of the cells in a longitudinal direction takes place (after the for- mation of the youngest internode) in the second youngest, or even in the adjoining internodes. In Isoetes, after the formation of one internode, the longitudinal growth ter- minates absolutely. The features by which the Isoetese are clearly distinguishable from the plants nearest allied to them in their mode of reproduction are as follows : — the development of adventitious roots (apparently in a descend- ing series), the form of the ligneous mass, and especially the existence of a mantle of cambium surrounding the wood and retaining its activity during the whole life of the plant. The processes of impregnation are seen in Isoetes with greater facility and clearness than in any other dise- cious cryptogams. Hugo von Mohl pointed out the peculiar phenomena of growth of the Isoetese,* viz., the development of the adven- titious roots in an apparently descending order on both sides of a furrow traversino- the under surface of the * 'Liunsea/ 1840. ' Vermischte Sclmften,' p. 122. HOFMEISTER, ON THE HIGHER CRYPTOGAMIA. 337 flattened stem — the peculiar form of the wood — and the annual renewal of the bark by the vitality of a cambium layer surrounding the wood. Since Von Mohl's disco- veries the special attention of botanists has been almost constantly directed to this interesting family. Alexander Braun * pointed out the connexion between the \ or § arrangement of the fronds of young plants, and the two or three-lobed form of the stem; he discovered the true nature of the regular bifurcation of the roots, which had been taken by earlier observers t for accidental lateral ramification. He endeavoured to explain the remarkable relation of the roots to the stem by the assumption that " the roots in Isoetes, instead of breaking forth outwardly from the vascular cylinder, penetrate, on the contrary, in an inward direction." Mettenius,| about the same time, gave a very accurate account of the structure of the ripe spore, and suggested that the germination of Isoetes might agree with that of Selaginella, as to which, § at the same time, he published the first correct microscopical obser- vations. A year afterwards, Karl Muller gave an account of the germination of Isoetes lacustris. || He describes the large spore (of which he had only advanced specimens before him) as a cellular sac, enclosed by an exosporium, and in whose cavity the rudiment of the embryo appeared in the form of a free cell, which was gradually transformed into the cellular body. Mettenius forthwith corrected the most essential errors of this account.^" He proved anew, in a striking manner,** the similarity of the germination of Isoetes and the other vascular cryptogams, by the discovery of the formation of spermatozoa in the small spores, and the description of the origin of the archegonia upon the prothallium developed by the large spores. The following observations will afford some facts supplementary to those noticed by Mettenius and Muller, * 'Flora,' 1847, p. 32. f Bischoff, 'Krypt. Gewaclise,' Niirnberg, 1828, p. 10. % 'Linnsea,' 1847, p. 269, on Azolla. § 1. c, p. 270, note. || 'Bot. Zeit.,' 1848. % 'Bot. Zeit.,' ] 848,' p. 688. ** 'Beitrage zur Botanik.,' Heft 1, Heidelberg, 1850. 22 338 HOFMEISTER, ON and will be found in accordance with those reported by Mold. I am indebted to the kindness of Mettenius,* Alexander Braim, and Gustav Reichenbach,f for the abun- dant materials upon which my observations are founded. The large spores of Isoetes lacustris are at first tetra- hedral with a convex basal surface. As they ripen, their remaining surfaces also become gradually arched, and assume almost a spherical form. The delicate primary cell- membrane is clothed with a thick exosporium, which, when cut through, exhibits three principal layers. The innermost is a glassy membrane, of a brown colour and moderate thickness, upon which ridges of different lengths, and converging towards the pole of the spore, are seated. Three of the longer and more prominent of such ridges, answering to the edges of contact of the spore with its three sister-spores, unite at the apex at angles of 120°. They reach to the equator of the cell, and there intersect a somewhat less prominent annular ridge, which surrounds the spore. This innermost layer of the exosporium is succeeded by a thinner layer, of a granular consistence and yellowish colour, over which the thick outermost covering, consisting of a transparent gelatinous mass, is spread. Like the former one, it covers all the ridge-like protuberances of the innermost glassy layer of the exos- porium, and it is especially fully developed over the four principal ridges (PL XLVI, fig. 1). The matter composing the exosporium behaves towards reagents like the exine of pollen-grains. Sulphuric acid imparts a reddish colour to the inner layers, which are soft- ened by boiling in alkaline leys. The gelatinous layer is rapidly destroyed by mineral acids and caustic alkalis. As Roper i has observed, the exosporium does not contain carbonate of lime, although Schleiden§> suspected its pre- sence from the appearance of the dry spores. The contents of the ripe spore in its optical and chemical characters * I received living specimens of Isoetes lacustris from the lake in the Black Forest, the same habitat which afforded the materials for the observations of Bischoff, Mohl, Braun, and Mettcnius. -j" Dried specimens of species of the Mediterranean Flora. % ' Zur Flora Mecklenburg's,' vol. i, p. 125. \ ' Grundziige,' 2nd edit., vol, ii, p. 84. THE HIGHER CRYPTOGAMIA. 339 resemble a mixture of oil and albumen. If a spore be crushed upon thin paper, it leaves behind a transparent stain. A few weeks after the spore has become free by the decay of the walls of the sporangia, its interior begins to be filled with cellular tissue. Sections afford no explanation as to the nature of this cell-formation. If a spore which is not yet entirely filled with closed parenchyma be crushed, its contents become a formless pultaceous mass. If however the exosporium be immersed for half an hour in a saturated solution of glycerine, it becomes sufficiently transparent to expose to view flatly-spherical accumulations of a granular substance spread over the inner wall of the spore (PI. XL VI, fig. 1). There can be no doubt that these masses of granu- lar mucilage, which become confluent when the spore is submitted to pressure, are newly-formed primordial cells, i. e., naked primordial utricles ; and therefore that the for- mation of the cellular tissue which fills the spore, i. e., of the prothallium, is the result of free cell-formation. This accords with the mode of origin of the endosperm of the greater number of phsenogams, and especially with the de- velopment of the albumen of the Coniferre. The formation of rigid cell-membranes appears to commence for the first time when the accumulated contents of the spore-cell have become transformed into daughter-cells. This cell-formation probably commences in the apical arch of the spore-cavity. When the parenchyma of the spore is sufficiently firm to admit of longitudinal sections, the cells of the apex of the prothallium are far smaller and more numerous than those of its base. This leads to the conclusion that a multiplication of the cells has commenced at the apex some time previously, which multiplication does not take place at the base until a much later period, and then with far less activity. The contents of the cells of the prothallium are not distinguishable from those of the ripe spore. No nuclei are visible in the thick turbid fluid.* During the formation of the prothallium the inner mem- * The want of transparency of the milky cell-contents is so great, that even in very thin sections it prevents the recognition of the boundaries of the cells as long as the preparation lies in clean water. The addition of concentrated solution of glycerine produces with greater rapidity a far more perfect trans- parency than the chloride of calcium recommended by Mettenius, (' Beitr. zui* Bot.,' Heft i, p. 11.) 340 HOFMEISTER, ON brane of the spore changes considerably, especially in its upper portion. It increases in thickness, and when a section is made, several layers are distinguishable. It can with difficulty be stripped off from the prothallium.* When viewed superficially the membrane which was previously homogeneous appears finely granular — all which phenomena are found to occur in a remarkably similar manner in the embryo-sac of the Coniferse. The spherical prothallium increases in size by multiplica- tion and expansion of its cells, and ruptures the upper half of the exosporium, dividing it into three lobes, each of the three ridges which unite at the apex of the spore separating into two longitudinal halves. A small portion of the apex of the prothallium — three very pointed triangles meeting at angles of 120° — is thus made free. Archegonia are produced by the multiplication of indivi- dual cells of the upper surface of these exposed portions. The first of these archegonia is produced exactly at the apex of the prothallium (PI. XLVI, fig. 2). If this first one remains unimpregnated several others are formed in descend- ing order. I have never counted more than eight. The mother-cell of an archegonium divides by a septum parallel to the free outer surface, and a similar division takes place in the outer of the two newly-formed cells. Vertical longitudinal septa then divide each of the two upper cells into longitudinal moieties (PI. XLVI, fig. 'da), in each of which a longitudinal septum at right angles to the one last formed is immediately produced. The under- most cell of the archegonium increases somewhat in size and becomes the central cell. Division by transverse septa usually occurs once more in the lower of the two double pairs of (four times smaller) cells which project beyond the central cell (PI. XLVI, fig. 3, a1). Exceptions to this are rare. During these processes the part of the inner membrane of the spore-cell which is not covered by the exosporium peels off gradually, swelling up in front.t By the parting asunder of the four longitudinal rows of cells which cover * Compare Mettenius, 'Bot. Zeit.,' 1848, p. G90. f The mode of growth of the adventitious roots of some grasses, especially of Aveua sativa, affords a very remarkable instance of the peeling off of whole masses of cellular tissue by the casting off of the primary membrane and the thickening layers of the epidermal cells. THE HIGHER CRYPTOGAMIA. 341 the central cell of the archegonium, an open passage is formed leading to the latter cell (PI. XLVI, fig. 5). Before the formation of this passage a tree spherical daughter-cell is produced in the central cell, almost filling the cavity of the latter (PI. XLVI, figs. 4—6). It is the primary cell of the new generation — the germinal vesicle — capable, after impregnation by the spermatozoa produced in the small spores, of forming a new frond and spore-bearing plant of Isoetes. All the ripe macrospores of Isoetes lacastris form pro- thallia and produce archegonia. The further development which results in the formation of the embryos of a leaf- bearing plant is attained only by those macrospores which come in communication with microspores. This is analo- gous to what occurs in Selaginella and the Rhizoearpeae. Prothallia when kept quite apart from microspores live for a long time ; according to my experiments from the begin- ning of September to the middle of March. Some of these even then brought forth new archegonia of the normal form apparently fitted for impregnation. The small spores of Isoetes lacastris when ripe have the form of the quadrant of a sphere ; in rare instances they are tetrahedral. The sharp edges and angles of the spore are formed of exine, those of the inner spore-membrane are bluntly rounded off. At both the upper and lower ends of the spore the exosporium forms a wart-like tip (PI. XLV, figs. 8, 9) ; all along the edges of contact of the spore with the three sister-spores it forms a prominent fold (PI. XLVI, fig. 7). The outer surface of the exine is very finely granu- lated, almost smooth. Its colour is a light yellowish grey. The fully-developed small spore contains a finely granu- lar protoplasm mixed with many small oil-drops. When viewed with transmitted light the mass of differently refrac- tive fluids appears almost opaque. A sharp-outlined sphe- rical nucleus with transparent fluid contents floats in the middle point of the spore (PI. XLVI, fig. 7). A bout four weeks after the microspores have become free by the decay of the wall of the sporangia, the primordial utricle of the cell divides into from two to four portions which be- come individualised into daughter-cells (PL XLVI, fig. 8). 312 HOFMEISTER, ON Sometimes the moieties of the primordial utricle fill the mother-cell entirely ; the cell-walls secreted by them then appear — so far as they correspond with the surfaces of contact of two halves of the primordial utricle — like septa seated upon the inner wall of the spore (PL XLVI, fig. 9).* More frequently however the division of the cell-contents is accompanied by a contraction! of them into a smaller space ; the daughter-cells, which are of a flatly ellipsoidal form, lie free in the interior of the spore. Numerous very small amyloid granules now appear in the fluid contents of the daughter-cells. Each of these cellules produces in its inte- rior one or two lenticular vesicles, in each of which is pro- duced a thread, rolled up in a right-handed spiral, and consisting of a substance rendered brown by iodine (PL XLVI, fig. 11). One of its ends is somewhat thickened, the other is drawn out into a thread-like termination. When perfect, the spore and its daughter- cells are ruptured by the swelling of the contents ; the lenticular mother- vesicles of the spermatozoa become free in the opened cavity of the spore. Soon the membrane of the vesicle itself — which is rendered blue by iodine — is ruptured ; one end of the spermatozoon protrudes from the fissure, and immediately commences an active oscillatory motion, which causes a rapid revolution of the mother-vesicle (PL XLVI, fig. 12). Ulti- mately the spermatozoon frees itself entirely from the vesicle, and the turns of the spiral separate somewhat from one another. It slips out of the ruptured spore, maintaining a constant revolution round the axis of its spiral, and moves about in the water with the thick end in front, dragging the thinner one after it (PL XLVI, figs. 13 — 15). Its motions are slightly more rapid than those of the spermatozoa of mosses 4 If the spermatazoon be killed with iodine, a small number * Spores thus divided are exactly like the small ellipsoidal cellular bodies which burst forth in the spring from those sporangia of Sahiaia nutans which produce microspores, i. e., the cellules in whose chambers the mother-vesicles of the spermatozoa originate. f Analogous to the process occurring in the spore-formation of liverworts and mosses (Pellia and Phascum). % Mettenius, who discovered the spermatozoa of Isoetes, remarks upon the slowness of their motion compared with the rapid motion of the spermatozoa of ferns. THE HIGHER CRYPTOGAMIA. 343 of very fine cilia attached to the two front coils of the spiral may be distinguished under favorable illumination (PI. XLVI, figs. 16, 17). The addition of colouring matter to the water in which the spermatozoa are moving, shows that during the life of the latter these cilia oscillate actively. The duration of the motion of the spermatozoa of Isoetes never exceeds three hours according to my observations. Microspores sown at the end of August produced the first spermatozoa in the middle of September. The pro- duction of spermatozoa lasted until January. The water of the vessels in which I sowed the large and small spores, swarmed with spermatozoa on some days in the middle of October. At this time the thinly-fluid mucilage which fills the canal of the mouth of ripe archegonia, often con- tained thread-like bodies of a firm mucilaginous substance, which might be the remains of spermatozoa, whose motion had ceased. The first indication of the commencement of the develop- ment of an embryo in an archegonium, is the division of the impregnated germinal vesicle by a transverse septum, somewhat inclined to the longitudinal axis of the archego- mum (PI. XLVI, figs 18, 20). During the formation of this septum the germinal vesicle expands, often to some extent, in a direction at right angles to the longitudinal axis of the archegonium. After the disappearance of the primary nucleus of the cell and the appearance of two new nuclei, the lower of the two halves of the impregnated germinal vesicle, and afterAvards the upper half also, is divided by a septum cutting the first formed septum at a right angle (PI. XLVI, fig. 21). The rudiment of the embryo of the new generation, when consisting of from two to four cells, has the form of a procumbent oval ; when viewed in the direction of its longitudinal axis (Plate XLVI, figs. 18, 19), it appears not longer than the unimpregnated germinal vesicle. But owing to its longitudinal expansion, it has already began to penetrate destructively into the tissue of the prothallium. As in many similar cases, the cells of the prothallium which immediately adjoin the rudimentary embryo, exhibit a somewhat active multiplication before they become 344 HOFMEISTER, ON loosened and pushed aside by the developing germ-plant, and ultimately dissolved.* The embryo in its first stages appears surrounded by a tissue of very narrow cells (PL XL VI, fig. 21). As early as during the occurrence of the first divisions of the impregnated germinal vesicle, the cells of the mouth of its archegonium die ; their fluid con- tents become as clear as water, and their walls assume the deep-brown colour so common in the dead cell-membranes of vascular cryptogams. Similar changes sometimes occur in those cells of the upper surface of the prothallium which adjoin the mouth of the archegonium (PL XLVI, figs. 21, 23). It very rarely happens that more than one archegonium of the same prothallium is impregnated. The rest wither ; the contents of their central cells shrivel up into an irregu- larly shaped ball of dark-brown matter, and all the cell- membranes of the archegonium become brown. The rudiment of the embryo when 4-celled grows to- wards the middle point of the spherical prothallium by repeated division of the cells turned away from the canal of the archegonium. At the same time an active multiplica- tion commences in the one lateral cell which occupies the more pointed end of the oval embryo-rudiment. It jdivicles by a vertical septum forming an acute angle with one of the axes of the embryo. The outer of the newly-formed cells is immediately divided again by a septum at right angles to the last-formed septum. In the apical cell for the time being of the excrescence (of the embryo) thus produced, the division is repeated for a long time by septa inclined alternately in two different directions (PL XLVI, figs. 22, 23). This lateral shoot of the young rudimentary plant — which shoot up to a certain point is continually elongating — is the first leaf. The cells of the second degree produced by the division of the (primary) apical cell of the leaf, are divided by radial longitudinal septa. Each of the tertiary cells divides — * Instances of this occur in the development, whilst within the prothallium, of the germ-plant of ferns— in the penetration of the lower end of the moss- fruit into the incipient vaginula— and in the displacement of the endosperm of many phamogams by the growing embryo. THE HIGHER CRYPTOGAMIA. 345 by septa parallel to the chords of the arched free outer surfaces — into an inner and an outer cell. In the latter a septum is produced at right angles to the one immediately preceding it, and radial to the longitudinal axis of the leaf; close under the growing tip of the leaf eight peripheral cells enclose four axile ones. The form of the leaf, which at first is flattened above and below, is gradually changed by this cell-multiplication into a conical one (PI. XLVI, fig. 24). The leaf increases in thickness by repeated divi- sion of the cells of its circumference, produced by radial longitudinal septa alternating with septa parallel to the tangents of the free outer walls. When it has attained a certain stage of development its longitudinal growth is much accelerated by the occurrence of transverse division in most of its cells. This multiplication commences close underneath the apex of the leaf, and progresses from thence, on the one side towards the base, and on the other side towards the apex, so far at least as it extends into those cells of the apex of the leaf which have been formed since its commencement. The cells of the circumference divide first ; from the latter the multiplication proceeds towards the longitudinal axis, without reaching the four rows of cells adjoining the latter. The latter remain twice as long as the cells of the peripheral layer ; they are destined at a later period, by repeated longitudinal divisions, to become transformed into vascular bundles (PL XLVII, fig. 1). The first leaf either shoots out at right angles from ] the longitudinal axis of the archegonium and embryo, or it trends upwards, often at such an acute angle that its-' apex penetrates into the upper arch of the central cell of the archegonium. The latter case is the most frequent ; it very rarely happens on the other hand that the leaf takes a downward direction towards the centre of the prothal- lium. As early as the time when the number of the cells of the leaf, counted in a longitudinal direction, amounts to from four to six only, the free outer wrall of the cell which occupies the middle of the base of the upper surface of the leaf — that surface which is turned towards the apex of the proth al- lium— begins to swell in a vesicular manner (PI. XLVI, 346 HOFMEISTER, ON fig. 23). The protuberance has the form of an ellipsoid flat- tened on the upper and under side, and is separated from the original cavity of the mother-cell by a septum (PI. XL VI, fig. 24). The roundish cell, not unlike a knobby hair, which is now seated at the base of the fore side of the leaf, is the primary cell of the single scale which it produces. Its first divisions exactly resemble those of the cell of the first degree of one of the gemmae of Marchantia or Lunu- laria. The cell is divided two or three times by transverse septa, which are at right angles to the future longitudinal axis of the scale, and perpendicular to its surfaces (PI. XLVII, fig. 1). The apical cell then divides, and after it the lower cells also, by a longitudinal septum at right angles to the one previously formed. The halves increase — after new transverse septa have been formed in each of the two upper cells — by the growth of septa parallel to the free outer edges of the scale, followed by septa produced in the outer of the newly formed cells at right angles to the outer margin. The organ which has now the shape of a blunt spatula (PI. XLIX, fig. 4), continues to increase the number of its cells by the division of those of its circumference by means of longitudinal and transverse septa which alternate with tolerable regularity. This activity of the cells terminates much sooner at the apex of the leaf than at its base, where an intercalary multiplication of the cells occurs, mainly in a longitudinal direction, some time after the cells of the apex of the leaf have lost their power of division. The scale be- comes pointed and heart-shaped (PL XLIX, fig. 5). All these septa are perpendicular to the surfaces of the scale. Soon, however, septa parallel to its surfaces appear in its middle cells (PI. XLVII, fig. 2). Thence the divi- sion advances towards the cells of the base of the leaf, which are engaged in intercalary multiplication in length and breadth. In the cells nearest to the base the divi- sion is sometimes repeated, so that this part of the scale consists of three layers. The remainder of it has two layers, with the exception of the margin and the top, which always exhibit a single layer of cells. Individual cells of the margin grow out into rather long pointed papilla?. THE HIGHER CRYPTOGAMIA. 347 In all the principal features the development of the scale of Isoetes accords with that of the scales of ferns. The first commencement of the multiplication of the single primary cell is essentially the same in both, i. e., it rests upon the alternation of rectangular, longitudinal, and transverse divisions ; besides this, both exhibit the subse- quent intercalary basal cell-multiplication, and the same kind of multiplication of the median cellular layers ; and lastly, in both cases the development of the scales rapidly gets ahead of that of the organ to which they form appen- dages, and they soon die. Immediately after the commencement of the formation of the scale, a sheath begins to be formed at the base of the leaf, enclosing the scale and some of the cells underneath it. A horse-shoe-shaped, cushion-like protuberance, open towards the front surface of the leaf, is first formed by the arching outwards of the free outer wall of a girdle of cells surrounding those parts (PI. XLVII, fig. 24). When the intercalary cell-multiplication of the base of the leaf takes place, this protuberance grows up into a tolerably high annular sheath, by repeated division of the apical cell for the time being by means of horizontal septa (PI. XLVII, The leaf grows in thickness at the point of origin of the scale ; its fore-side appears bent obliquely inwards (PI. XLVII, figs. 2, 3), close above the base (PL XLVII, figs. 2, 3). In its lower part, the vascular bundle which tra- verses it is excentrical, being nearer to the front surface. The primary axis of the germ-plant, which at the time of the appearance of the first leaf consisted of only a few cells, increases considerably in length and circumference during the development of the leaf and the formation of its scale. This increase is caused more by expansion than by multiplication of its cells. The axis nowr projects considerably from the embryo, in a hemispherical form, and is directed towards the middle point of the pro- thallium ; the leaf is seated upon one of the lateral sur- faces of the embryo (Pl.XLVI,fig. 24; PI. XLVII,figs.l-3). A process of cell-multiplication has now commenced upon its opposite lateral surface also : this is the beginning 348 HOFMEISTER, ON of the formation of the first root, an adventitious one, like all the roots of the vascular cryptogams. Its development commences with the multiplication of a cell of the inner tissue of the embryo, viz., the cell which lies opposite to the primary cell of the first leaf, and is separated by a cellular layer from the upper surface of the germ-plant (PI. XLVII, fig. 1). This cell divides, in repeated succes- sion, by transverse septa opposite to one another, forming cells of the second degree, lying alternately above and below the primary cell. The lower ones are produced by the formation of a septum slightly convex below ; their form is that of a meniscus. Their multiplication takes place in two directions only ; all the septa which are formed in them are perpendicular to the arched upper and under surface of the cell whose derivative cells constitute one of the cap-shaped cellular layers — enclosed one within the other — which cover the outermost apex of the root, and which, during the growth of the latter, gradually peel off outwardly (PI. XLVII, fig. 3). After the formation of a lower secondary cell, and before the division of the cell of the first degree by a septum opposite to the last-formed septum, septa parallel to the longitudinal axis of the root are produced in the latter cell three times in succession. One of these septa is turned towards the outer side of the root — that side which is turned away from the punctum vegetationis of the germ-plant. The two other septa are at right angles to this one. Thus three lateral cells of the second degree are formed, which are followed by the pro- duction of a shorter upper cell by the division of the primary cell by means of a transverse septum (PL XLVII, fig. 3). I will call the first three the outer, the second the inner of the upper secondary cells. Both kinds of upper cells of the second degree, the lateral cells as well as those which follow them, multiply in all three directions. Their divisions are oftener repeated and last longer than those of the lower secondary cell which belongs to the same period of division of the primary cell. The formation of lateral cells of the second deoree causes a very considerable unilateral thickening of the root. The diameter of the latter increases much more rapidly on THE HIGHER CRYPTOGAMIA. 349 that side which is turned away from the future place of origin of the second root, than on the opposite side. The consequence of this is that each new cap-shaped covering layer of the tip of the root appears to be attached more obliquely than the preceding one, and reaches higher up on that side of the root which is turned towards the punctum vegetationis than it does on the opposite side. Each newly-formed inner cell of the upper cells of the second degree is first divided into unequal longitudinal por- tions by a septum inclined inwards to the axis of the root, the inner portion, that, namely, which is turned towards the punctum vegetationis of the germ-plant, being the smaller one. Both portions multiply immediately in all three direc- tions. The two innermost cells which adjoin the longitu- dinal axis of the root, and are turned towards one another, remain about one step behind all the others in the process of division by transverse septa, i. e., by septa at right angles to the longitudinal axis of the root. Instead of that division they each divide twice by longitudinal septa at right angles to one another. Thus there is produced within the root a string of sixteen longitudinal rows of extended cells, situated excentrically, being nearer to the inner side. This is the rudiment of the vascular bundle (PI. XLVII, fig. 3). The cells of the outer surface of that portion of the root, which,- — as opposed to the root-cap which peels off little by little — may be called the persistent portion, divide by radial longitudinal septa and by trans- verse septa once oftener than those of the inner surface ; the epidermis of the root consists of tabular cells four times smaller than those adjoining them on the inside. These divisions of the cells of the outer surface occur even within the region which is protected by the transient cap- shaped covering layers of the tip of the root ; they occur on the outer side of the root, where these coverings do not extend so high up, earlier (/. e., nearer to the tip of 'the root) than on the inner side (PI. XLVII, fig. 3). Some of these circumstances attract but little attention in the first root of the germ plant which is hardly as thick as a bristle, in consequence of the inferior development of the tissue destined to form the bark of the root. In order 350 HOFMEISTER, ON to explain them I must speak, in anticipation, of the process of development of vigorous roots of plants some years old (PI. LII, figs. 2—5). The one cell which is situated underneath the place of insertion of the scale of the first frond, and is surrounded by its sheath- like base, is the punctum vegetationis of the (secondary) principal axis of the plant ; the terminal bud of the embryo is at this time limited to this one cell. As the bud is developed the cell divides by septa inclined alternately in opposite directions. The lines in which these septa cut one another are at right angles to the front surface of the first leaf. Until the plant is fully formed the growth of the stem is caused by the constantly repeated uniform division of the apical cell. The direction of the septa produced in it re- mains always the same, viz., at right angles to the major axis of the ellipsoidal transverse section of the stem, and parallel to the furrows of its under side. The mode of multiplication of the cells of the second de- gree which are thus produced, resembles in general that of the same cells of the first leaf above described. After the for- mation of the second secondary cell, the second leaf is pro- duced on that side of the end of the principal axis which is turned away from the first leaf, by the multiplication of the youngest cell of the second degree of the stem-bud. The mode of its development corresponds entirely with that of the first (PI. XLVII, figs. 2, 3). Its formation commences immediately after the first root becomes visible ; during its development the upward growth of the surrounding sheath of the first leaf ceases for some time. When the second leaf has attained a height of from three to four cells, a re- markable elongation of the cells of the first leaf — which now contain chlorophyll — commences at the apex of the latter. In consequence of the multiplication of its cells in a longi- tudinal direction, the first leaf has by this time advanced almost to the periphery of the prothallium. The leaf breaks through the prothallium and appears in the form of a green point outside the latter : it elongates itself very rapidly by the longitudinal expansion of its cells, which proceeds from the apex of the leaf towards its base, where cell-multiplica- THE HIGHER CRYPTOGAMIA. 351 tion is still in progress. In my experiments the first leaves broke ont from the ends of the prothallia at the end of September, six weeks after the spores were sown. From that time leaves continued to make their appearance singly until the middle of January, when their number suddenly diminished in a remarkable maimer. From the beginning of February until towards the end of March no new germ- plants became visible; at the commencement of spring- however they began to appear again, becoming continually more numerous until the middle of April. Even in the middle of May almost all the prothallia which I examined contained embryos in different stages of development. These prothallia were surrounded by the episporium, and had been produced from a sowing made in the middle of the preceding: August. Such was the result of chamber culture. It is probable that in the natural condition the embryos which break through the prothalliuin in winter do not survive, and that those germ-plants only which are produced in spring attain to a further development. Soon after the appearance of the first leaf, the first root also breaks through the prothallium. It bends itself down- wards and penetrates into the mud, the leaf having a vertical direction, inasmuch as being specifically the lighter portion of the plant it stands erect in the water. The prothallium is now attached laterally to the embryo. The thin mass of cellular tissue at its apex forms a ring round that portion of the germ-plant between the root and the front surface of the leaf. The large-celled blunt end of the primary axis of the young plant extends into the principal portion of the prothallium, whose cell- contents, like those of the cells of the first axis of the plant, henceforth become gradually transformed into a transparent fluid. After the breaking through of the leaf and the root, the further development of the germ-plant ceases for about a month. Expansion and multiplication of the cells of the first leaf and of the first root still continue, taking place in the former by intercalary multiplication of the cells of the base of the leaf, in the latter by the growth of the apex. But the formation of new leaves and new roots goes on only slowly and gradually. 352 HOFMEISTER, ON The above-mentioned two-fold longitudinal division of the string of elongated cells which become differentiated in the interior of the leaf and root does not occur until after the lat- ter have emerged from the prothallium. The divisions appear to take place contemporaneously throughout the entire length of both the cellular strings which unite underneath the terminal bud. The division by transverse septa of the basal cells of the leaf, continues even after the commence- ment of the formation of the vascular bundle, although in a less degree ; and the cells of the string which goes to form the vascular bundles take part from time to time in the division. One single longitudinal row of cells is en- tirely exempt from it. This row originates in the middle of the fore side of the vascular bundle, by supplementary longitudinal division of a row of cambial cells. In the cells of this row, whose length — owing to the entire sup- pression of all transverse division — far exceeds that of all the neighbouring cells, thickened annular threads soon make their appearance, passing here and there into spiral threads (PL XLVII, fig. 3). The continual longitudinal growth of the surrounding tissue stretches and distorts the young vessel, and removes the annular threads to a consi- derable distance from one another. In like manner there appears on the inner side of the rudimentary vascular bundle of the root a row of elongated spiral and annular cells of a prosenchymatal form like the vessels of the leaf. In the first node of the plants, at the place where the precursors* of the vascular bundles of the leaf and root unite underneath the rudiment of the second leaf, more than one of the longitudinal rows of cambial cells assume a prosenchymatal form, and thickenings of the walls are formed in all of them (PI. XLVIII, fig. 1). These cells, which are the first rudiments of the wood, are short and spindle-shaped, t and already bear some resem- blance in form to the cells of which the principal mass of the wood of the mature plant will consist. Many of the cells of the tissue which adjoins the vascular * Precurseurs ILirhel. ■f The intercalary transverse division has not extended to the cells adjoining these. THE HIGHER CRYPTOGAMIA. 353 bundles of the leaf and of the root separate at their edges, and the intercellular cavities become filled with air. The tissue which is filled with air soon dries up ; at last it disappears altogether, and large air-cavities are formed ; — four cylindrical cavities parallel to the axis are formed in the leaf, and are divided into a series of compartments by persistent cellular surfaces ; in the root one large air-cavity is formed in front of, and near to the excentrical vas- cular bundle. Whilst the base of the second leaf begins to form a sheath round the terminal bud, the latter produces the third leaf at a point opposite to the second, and above the first (PI. XLVTI, fig. 3). At the same time the forma- tion of the second root commences. It originates under the second leaf, opposite to the first root, very near to the first node, and is produced by the multiplication of a cell adjoining the string of cells which goes to form the vascular bundle. It is formed in precisely the same manner as the first root, with which it makes an angle of about 30° open- ing downwards. A plane passing through the longitudinal axis of the first and second leaves and of the first root, usually bisects the second root also ; small lateral deviations are however not uncommon. The root in its longitudinal development stretches the outermost cellular layer of the rudimentary stem of the germ-plant to a considerable ex- tent before it breaks through it (PI. XLVII, fig. 3). The rudiment of the third root, like that of the first and second, only becomes visible when the third leaf has already attained a certain degree of longitudinal develop- ment. It is produced, like the second, by the multiplica- tion of a cell adjacent to the lower end of the precursor of the vascular bundle, and to the rudimentary ligneous body of the germ-plant, and originates consequently on the left hand, close above the place of origin of the first root, In its development it turns itself at once somewhat side- ways ; it makes its way through the cortical tissue of the stem of the germ-plant in a direction which diverges about 30° laterally from that of the first root. The fourth and the following leaves, at least as far as the 23 351 HOtfMEISTER, ON eighth, exhibit the \ arrangement.* The commence- ment of the formation of each new leaf takes place some time before the cessation of the growth (i. e., the cell-mul- tiplication of the base) of the next preceding one. The lowest part of the back of the leaves enters into the forma- tion of the bark of the stem, like the base of the underside of the leaf of the Equiseta, the Lycopodiacese, and the phae- nogams. The I arrangement of the leaves causes an excessive increase in the mass of the cortical tissue at two points of the circumference of the stem lying opposite to one another, and corresponding with the dorsal surfaces of the leaves. Here the bark is developed so as to form two fleshy bodies widened at the base,f and spreading obliquely downwards from the ligneous body of the stem. These bodies are separated from one another by a flat indentation which is at right angles to the large horizontal axis of the stem, and is the first rudiment of the characteristic furrow of the underside of the stem. The development of each young leaf, and the growth in thickness of its base, proceed pari passu with the cell-multi- plication in circumference and diameter, of the older portion of the end of the stem, as well as of the base of the preceding leaf by which the young leaf is sheathed. The active increase in the number of the cells round the upper end of the longitudinal axis, pushes the previously formed portions of the circumference of the stem continually further outwards. The latter are able to bear this pressure for a long time by the expansion of their cells in a tangen- tial direction. But in the plane which passes through the small horizontal axis of the stem this expansion is almost entirely suppressed. At this part the cortical parenchyma splits from the outside (sideways and from below), at an early period, by which means the furrow of the under side of the stem is made much deeper. Shortly after the commencement of the formation of each new leaf, a new root is produced laterally beneath it ; the * As Alex. Braun remarked in 1847 ('Flora,' p. 135), and which he pointed out as the immediate cause of the bipartite arrangement of the stem of Isoetes. f This widening is due to the greater vigour of each new leaf. THE HIGHER CRYPTOGAMIA. 355 fourth being near to the second, and obliquely opposite to the third. The primary cell of the fifth root lies near the first, exactly opposite to the third. The sixth originates near the second obliquely opposite to the fifth. The places of origin of the roots of the first year — as well as of all the successive periods of vegetation — consequently all lie in a plane passing through the indentation of the underside and the terminal bud of the stem. The roots are developed in ascending order. Each new root originates somewhat higher up, and farther from the longitudinal axis of the stem than the second preceding one, i. e., its next neigh- bour underneath. The points of origin of the roots of the first vegetative period form together an arc slightly convex below (PI. XLIX, figs. 1, lh). During the development and the penetration through the bark of the roots sub- sequent to the third root, the former are compelled (like the third root itself), to bend downwards towards the furrow* of the stem, in order to avoid the vascular bundles of the preceding roots. If the third root diverges to the right of the longitudinal axis of the elliptical transverse section of the stem, then the fourth will turn to the left of it, the fifth also to the left, the sixth to the right, and so forth. Each new root converges at a more acute angle to the small horizontal axis of the stem ; the last roots of the first year are almost parallel to that axis and to the furrow of the underside of the stem (PI. XLVIII, fig. 5). The roots as they break through the bark bend sharply downwards, and appear on the underside of the stem arranged in two rows almost parallel to the indentation of the latter. The locus of the points of penetration of the roots may be considered as forming an elongated ellipse. f The roots which are nearest to the centre of the stem and the lowest down, are the oldest, those which spring from the wide lateral margins and are the highest up, are the youngest. The vascular bundles of the third and following roots, which are excentrical like those of the first and second, are brought near to that side of the root which is turned towards the furrow of the stem ; the excentricity * This furrow becomes continually more and more clearly defined. f Von Mohl, ' Vermischte Schriften,' p. 137. 356 HOFMEISTER, ON is reckoned not with reference to the longitudinal axis of the stem, but to a plane passing through this axis and the in- dentation of the stein, in which plane the points of origin of the roots are situated. The tissue of the region of the stem in which the closely crowded horizontal places of origin of the vascular bundles of the leaves meet together, goes to form the upward-growing portion of the proportionally slight woody mass which occupies the longitudinal axis of the stem, but encloses no pith. In the germ-plant, as long as the J arrangement of the leaves lasts, this upper half of the woody mass has a two edged form. Its usually spindle-shaped cells — reti- culated and spiral cells mixed with a few delicate walled cells —have almost all the same direction ; they are parallel to the larger transverse diameter of the woody mass (PI. XLVI1I, figs. 2, 3 ; PL XLIX, fig. V). A longitudinal sec- tion through the furrow of the stem cuts all the wood-cells transversely. As the arrangement of the leaves passes through the S into the §, |, T53, and £ arrangements, the upper part of the woody mass becomes round, and the di- rection and form of its cells very various, appearing at first sight to have no regularity, owing more particularly to the fact that now many other cells besides the primary cells of the vascular bundles take part in the wood-formation. Spiral cells are also formed which are situated between the converging rudimentary portions of the vascular bundles ; by this means the woody mass is closed up to the form of a cylinder. The closely crowded points of origin of the roots repre- sent the under half of' the woody mass : a row of spiral cells concave above, at right angles to the larger horizontal axis of the upper mass of wood, which latter in the first year is two-edged. At the close of the first vegetative period of the germ- plant the cells of the bark are filled with amyloid granules, mixed with a few oil- drops. The cells, however, which immediately surround the mass of wood retain their capa- city for multiplication. Some time before the commence- ment of the first period of winter-rest they have divided THE HIGHER CRYPTOGAMIA. 357 once, twice, or three times by septa parallel to the longitu- dinal axis of the wood. Thus there is formed a mantle of cambium surrounding the mass of wood on the sides and from beloAv, and passing above into the growing cellular tissue of the end of the bud. At the recommencement of vegetation in the second year an active multiplication of the cells of this cambial layer begins. The increase in size keeps pace with the growth in thickness of the new portion of the stem produced by the development of the terminal bud. The multiplication of the cambial cells is most remarkable at the sides of the mass of wood ; it is less vigorous in that half of the cam- bium which surrounds the lower, half-moon-shaped portion of the woody mass. The development of the cambium has pushed outwards the cortical tissue which is filled with assimilated matter. The vascular bundles are thereby much stretched, but not so as to destroy them. The vitality of the cells of the vascular bundles manifestly still exists ; by the expansion of their own walls they follow the change of position of the surrounding tissue. The thickenings of the walls of the vessels are alone materially changed during these processes, being loosened here and there and in other places distorted, so that every trace of regular arrangement disappears (PI. LXI, fig. 3). The function also of the vascular bundle does not seem to have come to an end at the time of the com- mencement of the vegetative period which succeeds its formation. The starch and oil contained in the cells of the bark of the previous year — which bark has been pushed outwards — are gradually sucked up and carried to the grow- ing portions of the plant. At the end of each vegetative year the cells of the bark of the preceding year contain only a transparent fluid. The old bark which is pushed outwards, gradually dies from the periphery inwards ; its cell-walls assume a deep brown colour, and ultimately the bark perishes. The new bark behaves similarly to the old bark, in the fact that the cells of the portion which clothes the furrow of the stem only expand slightly in breadth. The indentation of the stem already appears deeper than in the preceding year, on 358 HOFMEISTER, ON account of the less active development of the corresponding region of the bark-forming cambium, and it becomes deeper still by the regular tearing away of the tissue of the bark from the sides, that tissue not being stretched transversely. The roots of the previous year are pushed for some dis- tance outwards and downwards with the bark through which they have penetrated. Like the latter they assume a deep brown colour and die. The new roots destined for the support of the plant during the current period of vegetation originate on the convex edge of the lower, half-moon-shaped portion of the mass of wood, by the multiplication of some of the cambial cells adjoining the wood. The nature of their cell-multipli- cation corresponds in almost every respect with the account given above of the first root. The only difference is that during the passage through the bark the transient cellular layers of the root-caps are inordinately developed, and the permanent cortical layer of the root, on the other hand, very slightly so. The first root of the second year is formed close under the place of origin of the first root of the germ-plant, at the spot where the development of the cambium has torn off the vascular bundle of the root about to be cast off — i. c, at the place of attachment of the latter root. The second root originates underneath the place of insertion of the second root of the previous year, the third under that of the third root of the previous year, and so forth. In their direction also the new roots agree entirely with the older ones. The two first originate opposite to one another, trending away from the lateral surfaces of the lower growth of wood, and bent in different directions inter se. They break forth op- posite to one another in a perpendicular direction underneath the terminal bud, on both sides of the furrow of the stem. The third and following roots bend more and more side- ways. The two last pairs of roots of one period of vegeta- tion traverse the bark almost parallel to the furrow of the stein. All the roots as they grow through the bark describe a flattened are concave to the indentation of the stem. A longitudinal section taken throush that indentation lavs bare within each half of the stem only the rudiments and THE HIGHER CRYPTOGAMIA. 359 the tip of the older of the roots which are still hidden within the bark : the middle portion of the root is bent away from the plane of the section (PI. LI, fig. 1). As in the first year so also in the following ones the bark is pierced by the new roots close under the deepest part of the indentation. The brown roots of the previous year stand far outside those of the current year. Inasmuch as many of them last for two, three, or four years before they become quite decayed, the result is that in some plants, especially the older ones, the peculiarity observed by Von Mohl makes its appearance with the greatest distinctness. This peculiarity is, that the oldest roots are the outermost and apparently the highest, the youngest the innermost and apparently the lowest. As appears from what has been said above, this is only an apparent irregularity, depending upon the unusually vigorous development of the bark, and its yearly renovation from within outwards. It is a rule without exception that the middle ones of each series of generations of roots are the oldest, that those which are nearer to the lateral terminal points of the furrow of the stem break forth at a later period than those in its middle point. This circumstance however is not unfre- quently less striking, owing to the fact that the duration of each root is far less strictly limited to any definite period than that of the leaves. The outermost roots of the pre- ceding series are almost always in a state of vitality when the first innermost ones of the next series begin to appear. Old vigorous individuals which form a large number (as many as twenty) of leaves in the course of one year, develope during this period two complete series of generations of roots » the whole cycle, commencing with the lowest inner- most roots and progressing to the outermost, is formed twice in succession (PI. LI, fig. 1). In the Isoetes from South Europe and North Africa, which produce an abund- ance of roots, as many as six generations of roots are pro- duced in the same vegetative period. With the close of each cycle of roots a double pair is added to the number of the roots of the previous year, which double pair originates at the horns of the half-moon-shaped lower portion of the mass of wood (PI LI, fig. I)- 360 HOFME1STER, ON The position of the vascular bundles of the roots remains throughout the whole life of the plant the same as in the first year : they are always brought close to that side of the root which is turned towards the indentation of the stem. The cambial cells between the places of origin of those vascular bundles which pass to the new roots become for the most part woody : individual cells only, situated between the transformed annular and spiral cells, remain thin-walled (PL LII, fig. 6). Thus the latterally compressed lower half of the woody mass grows downwards at its convex edge, at the same time increasing in diameter. The roots of Isoetes usually ramify in a furcate manner repeatedly — as many as four times — during their longitudi- nal development.* Judging from the arrangement of the cells of roots which have only just become forked, it would seem that the furcation commences with the longitudinal division of the cell of the first degree of the apex of the root, by means of a septum at right angles to the larger trans- verse diameter of the downward-growing wood (PI. LII, fig. 2). The forks of the roots separate from one another at an angle of about 30°; the twTo first are parallel to the furrow of the stem. The direction of the next ramifications differs by about 90° from the former. The excentrical vascular bundles of the forks of the root are always removed to that side which is turned towards the sister-fork of the root (PL LII, fig. 3). Every year the same processes are repeated. The old bark is thrown off and replaced by new. The upper cylin- drical portion of the wood grows upwards by the lignification of those cells of the terminal bud which overlie its summit, and by the addition of the rudiments of vascular bundles intended for the new roots. Its half-moon-shaped lower portion increases in circumference on the convex edge, by the addition of the bases of the vascular bundles which jmss to the new roots. Thus the plant becomes continually more vigorous ; the number of the leaves and roots increases in each new vegetative period. The abundant development of leaves, in connexion with * Discovered by Alexander Braun in 1847. ' Flora,' p, 33. THE HIGHER CRYPTOGAMIA. 361 the entire suppression of intercalary cell-multiplication in the joints of the principal axis, leads necessarily to the result that the younger portion of the bark formed out of the con- fluent basal portions of the leaves projects far beyond the punctum vegetationis of the principal axis. The top of old plants exhibits a remarkable funnel-shaped depression, upon whose inwardly-inclined slope the younger leaves which sheath one another are seated (PL LI, fig. 1; PL LII, fig. 1). The terminal bud occupies the base of the crateriform de- pression, exhibiting a blunt cone of cellular tissue (PL L, figs. 1, 2), surrounded at moderate distances by the rudi- ments of the youngest leaves, which in plants of from five to eight years old have the T53 arrangement. The nature of the cell-multiplication of the terminal bud remains (as has been said) the same throughout the entire life of the plant. The alternately oblique septa by which the apical cell divides in repeated succession, are inclined to the large lobes of the bark ; a plane passing through the furrow of the stem cuts those septa at right angles. The daughter-cells of the cells of the second degree soon divide by transverse septa, and become cells of the third or fourth degree (PL LI, figs. 1, 2). Close under the apex of the termi- nal bud the arrangement of the cells, which at first was ladder-like, is changed into a concentrical scale-like arrange- ment. The inner cells — those nearest to the axis of the stem — of the derivatives of the third- and fourth-youngest cell of the second degree, expand remarkably in width in a direction radial to the longitudinal axis of the wood. By this means the terminal bud, even above the place of origin of the youngest leaf, is quite flattened (PL L, figs. 1,2). The effect of the yearly renovation of the cambial layer is not only to increase and renew the cortical tissue, but new spiral cells also become added, although only sparingly, to the wood of old vigorous plants. Individual cells of the cambium, separated by two or three cambial cells from the older principal mass of the wood, often exhibit thickenings of the walls, which by their delicacy and want of colour betray their undoubtedly recent origin (PL LI, fig. 2). New elementary organs are never added to the oldest por- tions of the wood, those namely which are formed in the one 36.2 HOFMEISTER, ON and two-year old germ-plant : the two-edged lower end of its upper part retains its form unchanged during the entire life of the plant (PI. LI, fig. 1; PL LI I, fig. 1). the formation of new wood around that already present seems only to last during a few vegetative cycles. All longitudinal sections of plants from three to eight years old exhibit a somewhat exuberant enlarged growth of the wood close under the upper end. This locus of the greatest thickness of the wood consequently moves continually upwards during the develop- ment of the plant. The primary portions of the vascular bundles which passed ofT into the leaves and roots formed many years pre- viously, and which portions are attached to the wood, are compressed by the cambium surrounding their sides, which is always in a state of active vitality. Ultimately these portions are torn off and pushed outwards, and the stump which adjoins the mass of the wood is grown over by the cambium just in the same manner as the stem of a tree gets rid of the boughs of its lower portion. The vigorous leaves of plants of many years' growth ex- hibit in their earliest stages, when viewed in front, the ladder-like arrangement of their cells (PI. LII, fig. 7) which is the necessary result of the mode of multiplication of the cell of the first degree. This however soon becomes indis- tinct by the rapid and vigorous development of the leaf in thickness. The form, when viewed from above, of leaves which are somewhat more developed (PI. LI, fig. 5) leads to the conclusion that now, after each two divisions by septa at right angles to the fore and hind surfaces of the leaf, septa are formed in the terminal cell at right angles to the lateral surfaces of the leaf and turned towards its front or hind side. Isoetes lacustris exhibits a manifest periodicity in the interchange of sterile and fertile leaves.* In the terrestrial species this interchange is very striking. Microscopical investigation shows that the rudiments of the leaves are formed a full year before they are developed; the fruit- bearing ones being produced late in summer and in autumn, and the sterile ones in spring and early summer. During * Described by Alexander Braun iu the 'Flora,' 1847, p. 34. But see Biscboff, 'Krypt. Gewachse,' p. 84. THE HIGHER CRYPTOGAMIA. 363 the winter the development of the leaves is considerably retarded, but does not entirely cease. Those leaves which are first formed in winter and make their appearance at the end of the next autumn, are very imperfect. In the scanty development of the leafy portion, and the vigorous develop- ment of the base, thev form the transition to the stipule-like organ which in the terrestrial Isoetes, especially I. Durieui and Hi/strid1, appear at the commencement and the close of every vegetative period.* In the semi-terrestrial species such as i~. velata and adspersa, the last leaves of the year exhibit — in a more marked manner than I. lacustris — a dis- torted leafy portion and an overgrown sheathing portion whose cells are quite filled with starch and oil. The scales of the first leaves only of the germ-plant origi- nate immediately above the place of attachment of the leaf. With the second leaf frequently, with the third and following- ones always, the case is different. Here the cell which by the vesicular protrusion of its outer wall lays the foundation of the scale, is removed by at least one cell from the base of the leaf (PL XLYII, fig. 3; PL XLIX, fig. I5). The intercalary cell-multiplication of the base of the leaf takes place with remarkable activity in this one cell and in those cells which lie in the same horizontal plane. By this means the scale is carried upwards to some height on the leaf (PL L, figs. 1, 2 ; PL LIU, figs. 2, 3). A flat three-sided cellu- lar mass then sprouts forth from the leaf close under the scale and covering the base of the latter (PL L11I, figs. 2, 3). Beyond and over the sides of this cellular mass the two lower angles of the triangular scale are developed in a down- ward direction ; the base of the scale becomes heart-shaped like the scales of the Polypodiaceae (PL XLIX, fig. 5). The cells of the base, which are inserted in the tissue of the leaf, exhibit a vitality which forms a marked contrast to the early cessation of the growth of its free portion. The horizontal row of cells produced by the multiplication of the first cell of the second degree belonging to the scale — which cell is en- closed by the substance of the leaf — is transformed by a series of rapidly repeated divisions into a transversely-ex- tended ellipsoidal cellular body, the two ends of which, by * Alex. Brann, in 'Exploration Scientifique de l'Algerie,' PI. 36, fig. 1*, 2b. 364 IIOFMEISTER, ON repeated multiplication of the cells, ultimately grow upwards in such a manner that the base of the scale becomes a fleshy mass of very small cells with turbid contents, having the form of a horse-shoe opening upwards, and inclined inwards to the longitudinal axis of the leaf. Underneath also the exuberant growth of the base of the scale extends into the three-sided shoot of the front surface of the leaf, partly pushing forward the existing cellular tissue (PI. LIII, fig. 5). As the longitudinal development of the leaf draws to a close, those of its cells which adjoin the highly-developed base of the scale become ligneous by spiral thickenings of the walls. Almost all the cells of the interior of the ligule-like shoot of the fore-side of the leaf take part in this wood-formation* (PI. XLIX, fig. 1). In an upward direction it is only the one cellular layer adjoining the place of insertion of the scale which is transformed into spiral cells ; on the other hand the whole of the tissue enclosed by the two horns of the half-moon-shaped base of the scale becomes woody. The middle of the lower end of the woody mass which is produced at a late period reaches close to the axile vascular bundle of the leaf. The leaves of Isoetes lacustris which are formed in the third year after germination, and are developed in the fourth year, produce the first fruit. The rudiment of the sporangium f is formed in the earliest youth of the leaf, at the time of the commencement of the intercalary multipli- cation of its base. Of the two cells into which — by a tranverse septum — the cell underneath the place of inser- tion of the scale is divided, the upper one becomes the * First observed by Mettenius, ' Linnsea,' 1847. f Sclileiden, out of love for some supposed analogies with the lower crypto- gams, will only apply the term " sporangia" to the spore-mother-cells of the mosses and vascular cryptogams. Like most other botanists, I use the term " sporangia " for the fruit containing the spore-mother-cells and spores, for the capsules of mosses and liverworts, for the fruit of ferns and Lycopods, and for those portions of the fructification of the Equisetaceas and Khizocarpeae which immediately enclose the spores. 1 do so because the term " sporangium" was first applied to the fruit of ferns. It appears neither necessary nor advisa- ble to use the same term for the Fungi, Lichens, aud Algae, as is used for the Characeee, mosses and vascular cryptogams. Moreover the expression " spo- rangium" is quite unnecessary in the case of the lower cryptogams. De- scriptive botany already possesses a more than sufficient number of suitable names for the organs in question. THE HIGHER CRYPTOGAMIA. 365 primary cell of the ligulate process which covers the base of the scale, and the lower one becomes the primary mother-cell of the sporangium (PI. LIII, fig. 1). By repeated divisions in all three directions, especially in a longitudinal direction, the latter is soon changed into an oval hillock of cellular tissue, whose longitudinal axis coincides with that of the leaf (PI. LIII, figs. 2, 3). The longitudinal and transverse divisions produced by septa perpendicular to the front surface of the leaf, are more active in each of the new outer cellular layers of the rudi- ment of the fruit, which are formed by septa parallel to the free outer walls of the cells of the upper surface. The young sporangium soon becomes an oval cellular mass at- tached to the leaf by a proportionally small basal surface. The tissue of the leaf which adjoins the place of attach- ment of the sporangium afterwards — when spore-formation begins — overgrows the fruit on all sides, principally above ; it forms a membranous border, reaching far above the sporangium, and is the veil of descriptive botanists (PI. LIII, fig. 5). Until shortly before the appearance of this last growth of the base of the leaf, the sporangium con- sists throughout of homogeneous delicate wailed cells, which now besin to be differentiated into three different sorts of tissue. The twro outermost cellular layers assume more and more a tabular shape, and become the capsule wall. The interior divides into groups of delicate-walled cells in close connexion with one another — the primary mother-cells of the spores — and into plates separating these groups of cells from one another, and formed each of two layers of cells whose intercellular cavities contain air. The cells of the wall of the sporangium, as also those of the tissue destined to produce the reproductive cells, con- tinue to multiply by division for some time longer. The cells of the plates which divide the portions of that tissue from one another keep pace with the increase in size of the sporangium by expansion of their wralls (PL LIII, fig. 4). At last the spore-mother-cells separate from one another, and assume a globular form (PI. LIII, figs. 6, 7, 8). In the sporangia intended to form small spores, more generations 366 HOtfMiiiSTER, ON of spore-mother-cells are produced than in those which form macrospores ; the spore-moth er-cells of the latter are considerably larger. The spore-mother- cells, both after and before their individualization, exhibit a very distinct large nucleus. By degrees the outline of the latter becomes fainter ; at last the nucleus vanishes after two flatly-spherical accumulations of granular matter have made their appear- ance between its periphery and the inner wall of the cell (PI. LIII, fig. 9). After the disappearance of the membrane of the primary nucleus the above accumulations of mucilage immediately assume an ellipsoidal shape, and appear as two secondary nuclei (PL LIIT, fig. 11). Sometimes the spore- mother-cell now divides by a transverse septum, after the constriction of its contents at the equator (PI. LIII, figs. 10, 12), and each of the two halves — after the dissolution of their ellipsoidal nucleus, and the appearance of two globular daughter-nuclei — is divided into two daughter-cells having the form of quadrants of a sphere (PL LIII, figs. 15 — 17). Sometimes, however, the two secondary nuclei of the mother- cell are dissolved before the commencement of the division of the cell ; four tertiary spherical nuclei appear (PL LIII, figs. 13, 14), and the cell divides at once into four daughter- cells. This latter case is bv far the most uncommon one. At their first appearance the four nuclei usually lie in one plane, and the four daughter-cells of the mother- cell (the special-mother-cells) retain, as in the first case, the form of quadrants of a sphere. It is only very rarely that the special-mother-cells are arranged in the angles of a tetra- hedron. The septa by which the special-mother-cells are separated are of a gelatinous nature. They swell up easily and quickly in water. If their contents are made to contract by the application of diluted acids, the cell walls swell up into a mass simliar to that into which the contents contract. The special- mother-cells of the small spores separate very shortly after their formation. When separate they retain their three-edged (rarely six-edged) form. Now, for the first time — by analogy to the similar phenomenon in Equi- setum — there is produced in each special-mother- cell a daughter-cell, whose form exactly corresponds with that of the special-mother-cell. The daughter-cell becomes THE HIGHER CRIPTOGAMIA. 367 clothed with an episporium (PI. LIII, fig. 18), of the nature described at the commencement of this chapter, and be- comes free by the dissolution of the special-mother-cell, some time before the rupture of the walls of the sporangium permits the escape of the spores, whose outward ap- pearance, when ripe, exhibits no farther change. The special-mother-cells of the large spores, which have always a tetrahedral arrangement, remain for a longer time united in fours — even until after the formation of the exosporium.* Alexander Braun's observations have shown that amongst the species of Isoetes, those at least of the old world, Isoetes lacustris is the only one which has only one furrow on the underside of the stem. All others, the South-West European and the North African species, have three, in exceptional cases, four, deep indentations of the under surface of the principal axis. The new roots break forth from the base of the deep furrow ; in the species which inhabit dry localities these roots are far more numerous than in Isoetes lacustris. Even in the three-furrowed species the form and structure of the wood always corresponds exactly with the number and position of the furrows of the bark. The lower portion of the wood is three-armed ; it consists of three laterally-flattened arched masses of wood, meeting at angles of 120°, and formed out of the closely crowded rudiments of the vascular bundles of the roots, and of the tissue between these vascular bundles, part of which tissue is changed into spiral cells, and part remains thin-walled. Where the number of roots is much greater than in Isoetes lacustris, as is the case especially with I. Hystrix and I, Durieui, the development of the lower part of the wood also is unequal. Each of the three arms of the lower half of the wood meets one of the deep cortical furrows (PI. LIII, fig. 20). The newly formed roots originate the lower arched margin of the plate of wood ; they bend in an arcuate manner, and breaking through the side-walls of the furrow, make their appearance at the deepest part of the latter. Many cycles of roots are developed in each vegative period j I have seen as many as eight in old strong plants of Isoetes Ilystrino. In the greater number of the * Wahlenberg, 'Flora Lapponica,' PI. xxvi, fig. 1, K. 368 HOFMEISTER, ON roots of such plants it is manifest that the uppermost roots of the individual rows are the youngest, a fact which is not so easily seen in Isoetes lacustris. In the three-furrowed Isoetes also the vascular bundles of the roots are excen- trical ; they are pushed towards that side of the root which is turned towards the cortical furrow in which the root breaks forth. The yearly renewal of the bark by the de- velopment of the mantle of cambium which also surrounds the lower three-armed portion of the wood, causes the removal of the older roots in a lateral direction away from the indentation of the stem in which they first appeared, and pushes them downwards and outwards. In the three- furrowed species however this change of position is less remarkable than in Isoetes lacustris. In the three-furrowed species the stem occasionally ex- hibits a fourfold division ; this appears to happen most frequently in Isoetes tenuissima, I found it to occur in two specimens out of seven. In stems of this sort the lower portion of the woody mass is four-armed. The terminal bud of most of the three-furrowed Isoetes is far more deeply buried than even in Isoetes lacustris (PL LI II, fig. 21). This partly arises from the propor- tionally greater number of the leaves, and the consequently more rapid increase of the cortical tissue. One essential cause of the phenomenon is, however, the circumstance that the cambium-layer — which clothes the cylindrical portion of the woody mass, and which becoming prominent at three places, as in Isoetes lacustris, reaches to the outermost ends of the upwardly- curved arms of the lower portion of the wood — has far greater vigour, on account of the much more considerable radius of the lower portion of the woody mass. The activity of the numerous layers of cambial cells, which are almost convex above, must necessarilv in- crease the mass of the bark more rapidly than is the case in Isoetes lacustris. The leaves of the three-furrowed species, the multiplica- tion of whose cells usually agrees with that of Isoetes lacustris, exhibit a far greater variety in their morphology and anatomy. The stipule-formation mentioned in a previ- ous part of this chapter is an example of this. The most THE HIGHER CRYPTOGAMIA. 369 remarkable phenomenon, however, is that exhibited by Isoetes IIi/strLv, and Durieui, in the lignification of the masses of cellular tissue of the bases of their leaves,* which varies in the different varieties of these species. The cells remain in the closest connexion, and are thickened in a porous manner by the superposition of dark-brown layers upon the inner Avails, so that, as in Niphobolus chinensts, a stony, closed bark is formed round the stem. By the development of new leaves the lignified portions of the bases of the leaves are pushed more and more outwards and — after the death of the herbaceous parts of the leaves — form a close spiny covering to the stem which can hardly be cut with the sharpest knife, and is a sad hindrance in the examination of these parts. In the three-furrowed species of Isoetes, the end of the stem, which occupies the base of the deep and steep depres- sion of the top of the stem, is a wart of cellular tissue of a much flatter form than in Isoetes lacustris. It grows like that of I lacustris, by continually repeated division of the single apical cell. The nature of the cell-multiplica- tion is, however, essentially different. The septa, an end- less series of which appear in the apical cell, are turned in three different directions. The apical cell has the form of a three-sided pyramid, with the top turned downwards ; the cells of the second degree are produced by the forma- tion of septa successively parallel to each one of the lateral surfaces (PI. LIII, fig. 22). The cells of the second degree form a spiral, winding round the middle point of the primary cell, which spiral, as far as observations have hitherto gone, is ahvays a right-handed one, and becomes a snail-shell-spiral, in consecuience of the fact, that the cells of the second degree from the time of their formation grow by expansion and multiplication in all three direc- tions. As far as observations have hitherto gone, all the septa formed in the apical cell and turned in one of the three directions, are at right angles to a plane passing through that indentation of the stem which is nearest to them. Consequently, in one of the most essential * A. Brauii, 1. c, pp. 35, 36. 24 370 HOFME1STEE, ON features, the mode of growth of the terminal bud of the three-furrowed species of Isoetes agrees with that of Isoetes lacustris : the septa which appear in the apical cell are turned towards the furrows of the stem. Isoetes lacustris — as is well known*" — exhibits occa- sionally, but rarely, a three-furrowed stem. Transverse sec- tions of the stems of plants of this kindf exactly resemble those of Isoetes setacea. The lower part of the woody mass has three short arms (PL XLVIII, figs. 6, 7). The mode of multiplication of the apical cell of the terminal bud is ex- actly the same (PI. XLVIII, fig. 8). Like the Selaginelke amongst the Lycopocls, Isoetes, in its mode of reproduction, resembles — more indeed than any other cryptogam — that group of phsenogams which comes nearest to the cryptogams, viz., the Coniferae. The pro- thallium, which consists of cells devoid of chlorophyll, occupies a space not much greater than the macrospore itself. It originates by free cell-formation in the interior of the spore-cell. In both respects it comports itself in a manner precisely similar to that of the albuminous body of the Coniferae. The archeo'onia of Isoetes in the most essential features of their development and structure ex- actly resemble the corpuscula of the Coniferse. Amongst the dioecious cryptogams — the cryptogams with spores of two different sizes, of which the larger pro- duce the germs of the second, spore-bearing generation, and the smaller produce the spermatozoa by which the germs are impregnated — Isoetes exhibits more clearly than any other the necessity for the operation of both kinds of spores in the process of reproduction. In Pilularia and Marsilea the reproductive cells are surrounded by an abundance of mucilage, which hinders the examination of the spermatozoa, a state of things which occurs in many of the lower plants and animals of the most different kinds. In Salvinia observation is impeded by the firm adhesion of the small spores, and by the difference in the time of development of the microspores and macrospores when sown contemporaneously. In Isoetes, on the other hand, the * A. Braim, ' Flora,' 1847, p. 34. f Amongst more than 100 specimens I found only one of this kind. THE HIGHER CltYPTOGAMIA. 371 mode of appearance, and the abundance, of both kinds of reproductive cells, are favorable to the observation of the origin of spermatozoa in the smaller archegonial prothallia, and not less so to the observation of the separate develop- ment of the microspores and macrospores. The germination of Isoetes, like that of the Ophioglosseee, is distinguished from that of the vascular cryptogams which have green prothallia in one essential point. In these the lateral cell of the limited primary axis of the embryo, from whose multiplication the (secondary) principal axis pro- ceeds, lies in the apical region of the former. The leaf- bearing principal axis developes the first leaf on the side which is turned away from the apex of the primary axis and towards the exit of the archegonium. The first leaf lies above the principal bud, between it and the mouth of the archegonium, as is the case with the Ferns and the Rhizo- carpese. In Isoetes, on the other hand, the bud of un- limited growth lies near the first adventitious root, close under the canal of the archegonium, and the first leaf lies under that bud. Judging from the position of the first root on the germ-plant, Selaginella would exhibit a similar state of affairs, were it not for the fact, that here the secondary principal axis of the plant, instead of producing a leaf close above its point of origin, divides into two branches, having previously grown considerably in length, and having produced a pair of opposite leaves. In its vegetative development as well as in its fructifica- tion and germination, Isoetes exhibits a remarkable agree- ment with the Lycopods, in the fact that the wood-forming tissue has no parenchymatous pith in the centre, but occupies the whole of the longitudinal axis in the form of a homogeneous woody body. Nageli's investigations* have shown that in Lycopodiimi a circle of vascular bundles is visible at first, but that after the differentiation of the circularly-arranged longitudinal strings of a delicate cam- bium, the whole of the axile tissue of the stem enclosed by the latter enters into the formation of the wood, and is afterwards changed from parenchymatal into prosenchy- matal cells of various kinds. Thus in nearly allied plants, * ' Zeitschrift fur Botanik,' H. 3 and 1, p. 140. 372 HOl'MEISTER, OxN THK HIGIIEIl CKYPTOGAMIA. which exhibit a considerable supplementary longitudinal development of the internodes, there is found the most decided tendency to form an axile woody body, similar to that whose production in Isoetes might — by the omission to notice the analogous phenomena in the stem of Lycopodium — be attempted to be brought into causal connexion with the complete suppression of an intercalary multiplication of the joints of the stem. As far as our knowledge extends, Isoetes alone of all the vascular cryptogams possesses a cambium layer, which is renewed yearly, and a stem which grows in length both at the upper and lower ends ; peculiarities of which the one is rendered necessary by the existence of the other. By the organization of its stem, especially that of the downward- growing portion of the wood, Isoetes approaches nearer to Dicotyledons, — such as Cyclamen and Beta, — which have undeveloped stem-joints and a stem which does not die from below, than to the few Monocotyledons with diametrically- increasing stems, such as Dracaena, Cordyline, and Tamus. The mode of arrangement of the roots which spring from the lower portion of the wood of Isoetes answers to that of the adventitious roots which break forth in vertical rows from the main root of dicotyledons, a phenomenon which Schimper and Sachs* have stated and proved to be of uni- versal occurrence. Some of the commonest plants in culti- vation, such as turnips and radishes, exhibit such a manifest regularity in the position and mode of succession of the adventitious roots, that more certain general results may in all probability be attained. * ' Sitzungsber. Wiener Akatl.,' B. xxvi (1858), p. 331. CHAPTER XIV. Selaginella. In the species of Selaginella whose leaves have the 2^ arrangement and stand in pairs opposite to one another in four longitudinal rows, the form of the growing end of the stem is that of a cone much flattened laterally. It projects far beyond the place of origin of the youngest pairs of leaves (PL LIV, figs. 3, 5, 7"). The multiplication of the cells of the end of the stem goes on in the young shoot of S. hortensis, Metten. [denticulata hortul.) until the commencement of the formation of the third pair of leaves, and in S. Galeoltii until that of the sixth pair. The multiplication is first pro- duced by continual division of a single cell occupying the apex of the blunt cone, by means of septa inclined alter- nately to the right and to the left, always towards one of the small sides of the terminal bud. The form of this cell is that of a segment of an ellipsoid (PI. LIV, fig. 8 ; PI. LVI, figs. 1, 3). The formation of the above septa, like all the divisions of the cells of the end of the stem, is preceded by the disappearance of the primary nucleus of the cell,* the formation of two new smaller nuclei, and the appearance of a dark line between the two newly-formed nuclei (PI. LIV, fig. 9). This line is easily obliterated, even by the continued action of pure water; its direction indicates that of the future septum. It is the side-view of the surface of contact of the two halves of the contents of the mother-cell. Contemporaneously with the commencement of a new * This primary nucleus is a globular vesicle floating freely in the fluid con- tents of the cell which are rendered turbid by numerous granules. 374 HOFMEISTER, ON division in the apical cell, the second youngest cell of the stem which adjoins the apical cell divides into two halves by a longitudinal septum cutting the narrow side of the terminal bud, and inclined towards one of the wide sides of the end of the stem (PL LVI, figs. Is, ]/). Each of the two halves is divided by a longitudinal septum which is concave towards the septum last formed, and cuts the boundary wall of the adjoining cell, which latter cell was produced by the multiplication of the next younger cell of the second degree. Of the two cells into which each half is thus divided one is turned towards the narrow, and the other towards the wide side of the stem. The former is a four- sided prism, the latter a three-sided one with curved lateral surfaces. The four-sided daughter-cell then divides, by a septum parallel to the longitudinal axis of the stem, into an inner and an outer cell. Frequently in Selaginella Galeottii, less often in other species, this latter cell-duplication is preceded by the production of a septum which cuts the upper and the free outer wall of the cell of the third degree at a very acute angle (PI. LVI, fig. 3). This mode of cell-multiplication differs from what takes place in Selaginella denticulate, helvetica, viticulosa, Martensi, and others, where the more ordinary cell-succession occurs, and the result of the differ- ence is, that a half-girdle of wedge-shaped cells is interpo- lated between each two of the groups of cells produced by the multiplication of a cell of the second degree. In this case the division into an inner and an outer cell by a septum parallel to the axis of the stem, takes place only in the larger, lower half of the four-sided cell of the third degree. The three-sided cell of the third degree of the stem of Selaginella hortensis, helvetica, &c. is divided into two un- equal parts by the formation of a longitudinal septum which is attached in a radial direction to the free outer surface of the cell, verv near to the original side-wall of the cell of the second degree. The cells produced by the mul- tiplication of the cell of the second degree are now all divided transversely by membranes which are parallel to the former boundary wall between the cell of the second degree and the apical cell (PI. LIV, figs. 8, 9). This latter divi- sion usually occurs somewhat later in the inner cells than in THE HIGHER CRTPTOGAMIA. 375 the outer cells. In Selaglndla Galcottii the like divisions are produced — by longitudinal septa catting the free outer surface of the cells — in both parts of the cell of the third de- gree adjoining the periphery of the terminal bud, i. e. in the upper wedge-shaped five-surfaced moiety, as well as in the lower which has six surfaces. Division by a horizontal transverse septum however only takes place in the inner cell. By this means the difference in the mode of cell-multiplica- tion from that which occurs in Selac/inella Jiortensis is re- moved (PL LVI, fig. 3).* When the end of the stem is about to become forked there occur — in addition to the divisions of the apical cell by septa turned towards the narrow sides of the stem — divisions by septa inclined alternately towards the wide sides of the stem. The top surface of the terminal cell assumes, in consequence, the form of a parallelogram. The divisions of the apical cell in the four different directions follow one another in a left-handed spiral, as far at least as observations go. This second form of the divisions of the apical cell commences at a very early period in Selaginella Jiortensis — as early as the commencement of the formation of the fourth pair of leaves of a segment of a shoot (PL LIV, figs. 11, 12); in tSelaginella Galeottii and Martensi they occur much later (PL LVI, fig. 4). In Selaginella Jiortensis the forking of the stem commences at a very early period. A transverse section through the end of the stem imme- diately underneath the apex, exhibits four axile cells, in which no one of the three directions of space preponderates. These cells are surrounded by a simple wreath of twelve cells somewhat stretched in a radial direction. Each two of them form one of the small sides, each four of them one of the wide sides of the terminal buds. The laterally com- pressed form of the stem is visible close under the apex of its growing end (PL LIV, fig. 7*). At first the portion of the axis above the youngest leaf increases considerably in thickness. The number of the * My former notice of the succession of the divisions was (' Vergl. TJnters.' p. 112), that the division of each of the halves into an inner and an outer cell followed immediately after the first division of the cell of the second degree. Repeated investigations have proved to me that the former division is preceded by a division produced by an almost radial longitudinal septum. 3/6 HOFMEISTER, OlS cells of its diameter and circumference is increased by re- peated division of the two outermost cellular layers of its lower part, by means of radial septa, and of septa parallel to the longitudinal axis of the stem. Near the place of origin of the youngest leaf the longitudinal growth of the end of the stem of Selaginella denticidata experiences a remark- able acceleration, by the division of the cells of its outer surface by means of horizontal transverse septa (PI. LIV, fig. 8). The formation of the two youngest leaves commences at a distance of from eight to ten cells — reckoning down- wards— from the apical cell of the terminal bud. Two horizontal opposite rows of cells, each of which occupies a fourth part of the circumference of the stem, become arched outwards, and divide contemporaneously by septa inclined downwards (PI. LV, fig. 21). In the outer three-sided prismatic ones of the newly-formed cells, division then ensues by septa inclined in opposite directions (PL LV, figs. 22, 23). The young leaf, viewed from above, now appears as a narrow seam surrounding a fourth part of the circum- ference of the stem (PL LIV, fig. V). It grows rapidly in length by continual division of the cells of its fore-edge by means of septa inclined alternately towards the upper or the under surface of the leaf (PL LV, fig. 23 ; PL LVI, fig. 1 2) . This multiplication of the cells is far more active in the middle of the fore-edge than at its sides. The form of the leaf would sooner become pointed were it not for the fact, that the two middle cells of the fore-edge frequently divide by longitudinal septa perpendicular to the surfaces of the leaf and slightly diverging from its longitudinal axis. In the young state of the leaf one such division almost always occurs after each two divisions by septa inclined to the surfaces of the leaf. Similar divisions occur from time to time in the outer of the cellular groups near the middle of the fore-edge of the leaf (PL LV, figs. 24, 25 ; PL LVI, figs. 5, C). By this means the originally parallel arrange- ment of the cells of the leaf becomes radiating and fan- shaped. By the repeated division of all the marginal cells of the leaf its base also becomes considerably widened. The newlv-formed basal cells do not amalgamate with the THE HIGHER CRYPTOGAMIA. 377 neighbouring cells of the circumference of the stem, but are developed independently, and form — when the leaf is perfected — the basal appendages which are especially em- ployed in the determination of the species. In the greater part of its area the leaf of SelagineUa Mar tensi and S. Galeottii continues as a double layer of cells ; only the cells of a wide longitudinal strip adjoining the median line on both sides divide repeatedly by septa parallel to the surfaces of the leaf, alternating from time to time with septa perpendicular to the surface. Both divisions occur oftener in the inner than in the outer cells of the longitudinal ribs which are thus formed, and which project on the underside of the leaf. The string of narrower cells which thus originates in the longitudinal axis of the mid- rib is afterwards trans- formed into a vascular bundle (PI. LVI, fig. 11). Contemporaneously with the commencement of the thick- ening of the mid-rib, a longitudinal expansion of the apex of the leaf begins, an expansion, that is, of the middle cells of the fore-edge, which by their more frequent divisions have in the mean time shot ahead of the neighbouring cells. The walls of these become thickened ; in the place of the faintly-green mucilage which has hitherto filled the cells, sharply defined chlorophyll granules make their appearance in the fluid contents, which have become transparent. After the commencement of these processes a multiplica- tion of the superficial cells of the base of the leaf ensues, by the division of such cells, once at least, by longitudinal and transverse septa perpendicular to the surfaces of the leaf. The cells of the under-side divide once oftener than those of the upper-side, such division being produced by septa at right angles to the longitudinal axis of the leaf. In the perfect leaf the cells of the under-side are always about one half shorter than those of the upper-side, which latter, instead, divide once oftener by longitudinal septa, so that they are only half as wide as those of the under-side (PI. LVII, fig. 8). The double row of cells of the upper surface of the leaf, which lies in the angle between the leaf and the stem, and immediately adjoins the circumference of the stem takes no part in these divisions. These cells remain consider- 378 HOFMEISTER, ON ably larger than their neighbours (PI. LVI, fig. 12). Their free wall becomes arched upwards ; the cell farthest from the stem then divides by a septum inclined away from the longitudinal axis of the stem. The double layer of cells which rises in the form of a wall thus receives an addition of a row of top cells. These continue to divide by septa inclined alternately in two directions ; the result is that a flat membranous cellular body is produced from the upper side of the base of the leaf (PI. LV, figs. 26, 27 ; PI. LVI, figs. 11,12). This body was first observed by II. Midler,* and is a kind of ligulate formation, most nearly resembling, on the one hand the coronet of the perigone of the Narcissi and the ligule of the grasses, and on the other hand the scale in Isoetes. I shall merely call it a stipule. The cells of the stipule which are raised above the surface of the leaf very soon divide by longitudinal septa perpendicular to the upper and under side of the stipule (PI. LVI, fig. 9), and afterwards also by transverse septa at right angles to the surfaces of the organ. This multi- plication continues in the base of the stipule for some time after the multiplication of the apical cells has ceased (PI. LVI, fig. 11). At a later period the number of the cells of the organ in the direction of the thickness, is increased by the division of the cells of its lower portion parallel to the surface (PI. LV, fig. 27; PI. LVI, figs. 11, 12). The double row of basal cells sunk in the substance of the leaf does not increase in number, but the cells increase considerably in size. As the longitudinal growth of the stipule draws to a close, its apical cells, in BelagineUa Galeottii and others, divide only by transverse septa perpendicular to the surface. The upper end of the stipule becomes a simple cellular layer. The margin, in all species, exhibits a delicate fringe, caused by the papillate outgrowth of individual cells (PI. LV, fig. 28). The cells of the stipule contain granular mucilage which is colourless or grey or — under transmitted light — of a reddish colour. They never contain chlorophyll. Like the stipules of the greater number of those phsenogams in which stipules occur, the development of the stipule of * 'Bot. Zeit.,'1846. THE HIGHER CRYPTOGAMIA. 379 Selaginella terminates long before that of the leaf to which it belongs. It is only to be found in full vitality amongst the closely crowded leaves of the bud ; in the axils of those leaves between which the last longitudinal expansion of the stem began it is always shrivelled and inconspicuous. Spring, who has written a monograph of the family, has not himself seen the organ. That region of the young leaf which, by repeated division parallel to the surface of the cells of the underside, becomes transformed into the mid-rib, corresponds exactly in breadth with the place of attachment of the leaf. This breadth in the youngest state of the leaf, and up to the time when the formation of the mid-rib begins, is equal to one fourth part of the circumference of the stem. It is afterwards much less, inasmuch as after the commencement of the formation of the leaf the number of the cells of the circumference of the stem continues to increase. Each of the transverse rows of cells of the circumference of the stem — by whose multiplication a leaf is produced belonging to one of the four longitudinal rows in which the leaves of the greater number of the species of Selaginella are arranged — stands immediately above the place of insertion of the next lower leaf (PI. LV, figs. 11, 12). The circumference of the stem becomes thickened as in the Equisetacese by the growth in thickness of thebases of the leaves,which originate close above each other, and by the often repeated division, parallel to the longitudinal axis of the leaf, of the cells of the base of its under-side. Its periphery appears to be formed of a number of cellular layers produced by the multiplication of the cells of the young rudiment of the leaf (PI. LV, fig. 11). The axile cells of the stem which correspond with the naked end of the bud — which naked end projects above the rudiment of the voun°;est leaf — enter for the most part into the formation of the vascular bundles and the parenchyma between them. When the leaf is almost fully formed every other one of its marginal cells expands laterally into a blunt papilla, whih becomes rapidly elongated, often to a very consider - able extent, as for instance at the base of the upper leaves* * The " Intermediaren Blatter " of Spring. 380 HOFMEISTER, ON of Selaginella Martensi. The papilla assumes a conical form. The sharp apex of these unicellular hairs, which represent the teeth of the margin of the leaf, are soon entirely filled by rapid thickening of the walls. The conical mass of cel- lulose often bears a deceptive resemblance to a small cell, owing to the seam of light which its edges exhibit when seen with transmitted light (PI. LVI, fig. 7). The two rows of cells of the upper side of the leaf which immediately adjoin the marginal cells, exhibit in many species definite appendages of the outer wall. For instance, S. Galeottii has two longitudinal rows of bluntish warts, similar to those on the outer side of the hairs of many Boragineae (PL LVI, fig. 7). Numerous chlorophyll-granules are formed in the narrow cells of the upper surface of the leaf In S. Galeottii and Martensi they have a distinctly vesicular appearance, and contain some very small starch granules. In the square cells of the underside of the leaf the green mucilage coagulates into a single large spherical ball, as is the case in Anthoceros (PI. LVI, fig. 8). At the places where the cells of the under-surface of the leaf adjoin those of the upper, a connected net-work of air-cavities is produced by the parting asunder of the edges of contact of the cells of the under side from the closely connected cells of the upper side of the leaf. The place of contact of each cell of the under surface of the leaf with the cells of the upper surface is surrounded by an air-cavity which is usually six-sided. Towards the outside the cells of the under-side of the leaf are in close connexion. The Lycopodiacese in general, and especially the species of Selaginella, whose stems are elliptical in a trans- verse section, afford some of the most marked instances of true forking of the apex of the stem, which are to be found in the whole of the vegetable kingdom. In all species of Selaginella, whose leaves have the 2^ arrangement, a forking of the stem occurs, almost without excep- tion,* after each four circuits of leaves ; and the same thing occurs also in those species whose shoots are appa- rently quite simple and undivided for a considerable dis- * The only exceptions I know are seen now and then in S. helvetica. THE HIGHER CRYPTOGAMIA. 381 tance. Ill 8. viticulosa and cor.difolia also, a rudimentary few- leaved axis may be found on the lower part of the upright shoots of the second order which spring from the creeping stem : it is situated between each fourth upper and under leaf, and is hidden alternately in the right and left edge of the stem. If the upright shoot is broken off, these buds, which otherwise remain dormant, are developed into upright shoots. When the end of the stem is about to fork, the apical cell divides by a vertical septum, instead of by a septum inclined in the opposite direction to the septum last formed. In both the newly-formed cells this division is usually repeated once or several times (PI. LVI, figs. 7°, 9, 10), whilst the number of cells of the next lower portion of the stem in the direction of the largest transverse measure- ment of the two edged stem is correspondingly increased by repeated longitudiual divisions, In the two outermost cells of the row of cells thus formed which crowns the apex of the end of the stem, a division ensues by a septum strongly diverging from the axis of the shoot. The wedge- shaped one of the two newly formed cells is immediately divided by a septum inclined in the opposite direction. Thus the development of two new shoots, in the manner pointed out in a previous part of this chapter, is brought about (PI. LV, fig. 10). This happens normally imme- diately after the commencement of the formation of the last leaf of the forking shoot, even before these leaves are clearly visible above the circumference of the stem. Many species, for instance 8. Martensi, Galeottii, and viticulosa, exhibit a feature which is found in the Aneurse. Either the right or the left fork of the stem, alternately, developes itself more vigorously than the other, and soon pushes the latter entirely on one side. These species seem to be furnished with a principal shoot, which sends forth adventitious shoots to the right and to the left. On the other hand, in 8. hortensis, helvetica, 8fc, the forks of the terminal bud are developed quite equally in length and thickness. The forking end of the stem here assumes at first the shape of a spatula (PL LIV, figs. la, 10) ; in con- sequence of the rapid development of the forked shoots con- 382 HOEMEISTER, ON stituting the edges of the spatula-like flat cellular mass, the fore-edge of the latter soon appears deeply indented (PL LIV, figs. 3, 5). Id one respect, however, even here there is a preponderance of the development of one branch of the fork ; the right or left fork, alternately, forms a primary leaf* before its sister-shoot, even before the divi- sion of the end of the stem is manifest. This leaf, there- fore, appears to be situated on the middle of the underside of the forking end of the stem (PL LIV, tigs. 5). By the subsequent growth of the shoot it is pushed more on one side. Each shoot of Selaginella is traversed in its upper portion by two thin cylindrical woody bundles, whose position corresponds with the foci of the ellipse represented by the transverse section of the stem. Towards the base of the shoot, near the points of junction with the other branch of the fork, the two bundles unite to form one (PL LIV, fig. 3). The differentiation of these vascular bundles from the surrounding tissue of the stem first takes place in Selaginella Galeottii underneath the second youngest pair of leaves. The cells destined to form the vascular bundle lag behind the neighbouring cells in transverse division, and divide repeatedly by longitudinal septa radial to the axis of the stem and parallel to it. This takes place even later in 8. hortensis, some time after the commencement of the forking of the naked end of the shoot in question. In this species the remarkably regular furcation of the vascular bundle of each shoot f is manifestly in connexion with the succession of the forkmgs of the stem. The cells immediately adjoining the vascular bundles take no part in the remarkable longitudinal expansion of the cells of the stem by which the leaves are removed far from one another, and the first clear distinction between stem and leaves is produced. The stretching of the neigh- bouring cells of the bark and of the pith, as well as of the vascular bundle itself, soon removes those cells from one another, so that they have the appearance of proportionably thin threads, which unite the vascular bundle — which is * Teuille primaire, Spring. f See ' Kaulfuss Wesen der Famikrauter,' p. 25. THE HIGHER CRYPT0GAM1A. 383 placed ill the middle of a hollow cylindrical air-cavity — with the remaining tissue of the stem (PL LVII, fig. 11). These cells afterwards divide by a transverse septum, once at least in those species in which the air-cavities have a proportionably narrow diameter, and several times in those species where the air-cavities attain a considerable develop- ment, as in BelagineUa helvetica. A string of cells passing from the vascular bundles of the stem through the thickened longitudinal axis of each of the neighbouring leaves, becomes transformed into a vas- cular bundle Avhose nature and structure resembles in its essential features those of the stem. The formation of the vascular bundles always commences earlier in the stem than in the leaves ; it progresses from the former towards the latter (PI. LVI, fig. 11). Adventitious roots spring from the forks of the stem ; in S. denticulata and helvetica they spring from each fork, after the commencement of the final longitudinal expansion of the stem. In S. Martensi and Galeottii, and still more so in S. viticulosa the upper ramifications of the upright shoots, which have a tendency to produce fruit, are apt to be devoid of roots. The root is always situated in the angle of the primary leaf, which in the bud apparently occupies the middle of the forking end of the stem. It originates on the outer side of the transverse junction which in the fork of the stem unites the two vascular bundles (PL LIV, fig. 3). The mode of cell-multiplication in the growing tip of the root exactly resembles that in the Equi- setaceae and Polypodiacese ; the examination of it is much more difficult than in the latter plants on account of the smallness of the cells. The roots of the Selaginellee, like those of the Lycopodiacese in general, are usually several times branched ; they exhibit the most regular furcations in two directions diverging from one another at about 90°. The first fork of a root is usually parallel to the surfaces of the leaf in whose axil it has originated, and the second at right angles to those surfaces.* The outer side of the root-cap is often clothed with long papillae, which, as the * The relation is very manifest in the roots of S. Galeottii, and Martensi which ramify frequently high above the ground. 384 HOFMEISTER, ON organ becomes further developed, are thrown off with the cells which bear them. The adventitious roots of the larger species fork frequently even long before they reach the ground. Those of S. kortemis usually ramify for the first time after they have penetrated into the ground. The foundation for the first ramification is however here also laid at an earlier period. The aerial roots as soon as they have reached a certain stage of development exhibit a spherical enlargement of the end.* This thickening of the tip of the root is formed by the commencement of furcation : the lenticular cell of the first degree of the root has divided by a longitudinal septum into halves, each of which com- mences an independent multiplication in a direction away from the other. The two rudimentary branches thus formed, surrounded by the outer cellular layers of the root, which were formed before the commencement of the forking, con- stitute the almost spherical mass of the end of the root. It is a known fact that the smallest fragment of the stem of Selaginella when properly treated — that is, kept moist and warm upon loose earth — will produce a new plant. This depends upon the production of adventitious roots in definite positions : in the angles formed by the vascular bundles which branch off into the leaves with the vascular bundles of the stem. The adventitious shoot breaks through the cortical layer of the stem and is developed into a new plant by a succession of shoots, in the same manner as an embryo is produced by impregnation of an archeog- nium, after an adventitious root has grown out close to its place of origin (PI. LYI, fig. 10). Fruit is formed in Selaginella only on particular shoots differing greatly in their habit from the vegetative shoots. The branch destined to develope sporangia is, like the vegetative branches, a fork of the naked end of the shoot of the preceding order. It is distinguished from the vege- tative shoots even in its earliest condition by a far less rapid increase in length, so that, even in Selaginella denticulata, it is soon pushed to the side of the vegetative shoot — whose direction is the same as that of the shoot of the preceding order — and might be taken for an immediate prolongation * Kaulfuss, Weseii der Farrnkraoter,' p. G4. THE HIGHER CRYPTOGAMIA. 385 of it (PI. LIV, fig. 3). The mode of cell-multiplication in the growing end of the fruit-branch resembles that of the terminal bud of vegetative shoots (PL LV, fig. 29), with this difference only, that the growth in thickness is uniform on all sides. The transverse section of the fruit-branch is circular not elliptical. A sporangium is produced in the axil of each of the equal-sized leaves of the fruit-branch — which leaves have the 2^ arrangement — with the exception of the two or three first, lowest leaves. The first rudiment of the sporangium is produced by the division, by means of a septum almost perpendicular to the outer surface of the terminal bud, of one of the cells of the circumference of the stem close above the middle point of the place of attachment of the youngest leaf. This is followed by the production of septa at right angles to that surface in the sporangial cells of the second degree, and of septa parallel to it in the sporangial cells of the third degree (PI. LV, figs. ], 2). As soon as the organ has the appearance of a hemispherical lateral outgrowth of the end of the stem, a central cell may be seen, surrounded by a simple layer of cells, and borne upon a short stalk consisting of a few cells. In Selaginella helvetica this central cell is much larger than its neighbours (PL LIV, fig. 2). In 8. hortensis the cells which bear it divide for the first time at a late period by septa parallel to the longitudinal axis of the sporangium. In this species the cell in question appears as the uppermost of a string of cells traversing the axis of the rudimentary sporangium (R LV, fig. 8). The enveloping cells divide repeatedly by septa perpen- dicular to the outer surface of the young fruit, alternating twice with septa parallel to that surface. The wall of the sporangium soon becomes a double cellular layer and ulti- mately a triple one (PL LV, figs. 4 — 6). The cells of the stalk also divide repeatedly by septa parallel to the longitu- dinal axis and perpendicular to it ; the stalk of the sporan- gium rapidly becomes both longer and thicker. In the mean time the central cell also multiplies, although more slowly, by repeated bipartitions in all three directions (PL LX, figs. 4, 5). In a mass of fruit of Selaginella 25 ' 386 HOEMEISTER, ON even the fifth-youngest sporangia have the appearance of a central group of larger cells (the mother-cells of the spores) with grumous contents and large nuclei, surrounded imme- diately by a layer of delicate, mucilaginous, radially- extended cells, similar to those which surround the string of mother-cells of the anthers of phamogams. This layer is followed by a layer of tabular, thick-walled, chlorophyll- bearing cells, which supports the epidermis of the sporan- gium : these chlorophyll-bearing cells are radially-extended prismatic cells with watery fluid contents ; in the young fruit they are four times smaller than the chlorophyll- bearing cells immediately below : when the fruit is almost ripe they are — in consequence of repeated divisions • — almost sixteen times smaller than the same cells (PI. LV, figs. 5, 6, 16). This multiplication of the cells of the young sporangium takes place mainly in the direction of the breadth ; the organ assumes the form of a laterally-flattened ellipsoid, which in the macrosporangia passes by degrees into the shape of a kidney, and in the microsporangia becomes more elongated. The leaf in whose axil the sporangium originates, does not begin to develop its stipule until a later period, when the young fruit has attained a con- siderable size, and the central group of spore-mother- cells has almost completed its full number (PI. LIV, figs. 3, 4). The mode of development of the sporangium shows most distinctly that the latter cannot be considered as a transformed portion of a leaf, unless * the group of cells which is formed close above the place of insertion of the stipule, above the apex of the angle between the latter and the stem, is considered as belonging to the leaf and not to the stem. This supposition is only difficult to reconcile with the observed youngest conditions of the leaf and spo- rangium. The young rudiment of the fruit, when consist- ing of only very few cells, is generally situated on the outer surface of the end of the stem (which outer surface is turned towards the leaf,) even in those species, like Sela- ginella helvetica and spimdosa, whose sporangia, when only * See von Mold ' Vermischte Schriften,' p. 106. THE HIGHER CRYPTOGAMIA. 387 slightly developed, are pushed so far upwards on the upper surface of the next lower leaf that they appear to form a portion of it (PL LIV, fig. 1 ; PI. LVI, fig. 30). In the vascular cryptogams there are the like difficulties in obtain- ing a clear idea of the relation of the sporangium to the leaf, as are met with in observing the relations between the placenta and ovules of phsenogams, and the carpels. The same considerations must find a place here, and on this account I would withdraw my former assent to the explanation * of the sporangium of Selaginella given by Bischoff, who described it as a metamorphosed axillary bud, and adopt von Mold's view, the probability of the correctness of which is supported by the relation between the sporangium of Isoetes and its leaf and leaf-scale, the latter being the manifest analogue of the stipules of Selaginella. As the sporangium becomes older the spore -mother- cells become individualised, after a moderate thickening of their walls. They then form spherical cells with turbid mucila- ginous contents and a rather large nucleus. They are closely crowded together and fill the cavity of the fruit (PI. LV, fig. 6). Up to this point the history of the development of all sporangia is the same. Henceforth however, as in all the Rhizocarpese, the subsequent development exhibits essen- tial differences, according as the sporangia are destined to become microsporangia or macrosporangia, i. e. to produce small or large spores. In Selaginella hortensis the lowest sporangium only of each mass of fruit becomes a macro- sporangium ; that one, namely, which is formed in the axil of the lowest one of that longitudinal row of aristate leaves which is situated vertically over the last primary leaf on the right or left side of the shoot of the preceding order. By the rapid and remarkable increase in size of the fruit the latter grows beyond the lateral margins of its own covering leaf, so that the two next lower ones also, which are sterile leaves belonging to other longitudinal rows of the fruit-ear, have to take part in covering the fruit. Of the many free spherical cells of the interior of the young macrosporangium, one single cell only, not distin- * « Vergl. Unters.,' p. 119. 388 HOEMEISTER, ON guished in any respect from the others,* becomes slightly increased in diameter, its primary nucleus becomes dis- solved, and four new nuclei are formed. This cell then divides into four tetrahedral daughter-cells, the special- mother-cells of the spores, by six septa cutting one another at angles of 120° (PL LV, fig. 7). Almost immediately afterwards there is formed in each of the special-mother- cells a cell almost filling the latter, and having at first very delicate walls. This cell is the spore. The four spores immediately begin to become individualised by the gradual dissolution of the wall of the special-mother-cells (PL LV, figs. 8, 9, 10), and they assume a spherical form. The loci of the commissures of the special-mother-cells are indicated by very slightly prominent ridges (PL LV, figs. II6, 12*). The product of the dissolution of the special- mother-cells (which cannot be seen by direct observation) appears to retain the spores for some time longer in some- what close proximity. Soon after the separation of the spores the formation of the outer spore- membrane commences. The inner trans- parent layer f is first visible (PL LV, fig. IV), and soon afterwards the outer one also, which is composed of a quan- tity of two different substances varying in their refractive power. Both layers take part in the composition of the long spines of the exosporium, which are united by reti- culate ridges (PL LV, fig. 17). During their formation the three converging ridges at the top of the spore become somewhat more conspicuous ; each of them now appears to be traversed by a fine longitudinal fissure. The spines appear as slight projections of the inner glassy layer (PL LV, fig. 13), and gradually increase in length. When quite ripe they appear considerably shorter than when half-developed. It would seem that the pressure which the rapidly -growing spores exert upon one another breaks * In some cases I was convinced that this cell floated almost in the middle of the macrosporangium. At the time when one of the free spherical cells be- comes (by division into four) the mother-cell of the spores, the free spherical cells no longer entirely fill the inner cavity of the macrosporangium ; a space filled with watery fluid is found above the place at which the stalk is attached to the capsule. f Under transmitted light this layer is at first as clear as glass, then straw- coloured, and ultimately brown. THE HIGHER CRYPTOGAMIA. 389 off the points of the spines. Shortly before the sponta- neous rupture of the macrosporangium the spores adhere rather firmly to its inner wall by means of their spines. During the formation of the large spores the macro- sporangium changes its form very considerably. By a vigorous local multiplication and expansion of the cells of the wall, two hemispherical protuberances of the latter are formed in the middle of the two lateral surfaces of the reni- form sporangium which are turned towards the stem and the covering leaf. This occurs even long before any one of the four spores has touched the inner wall of the sporan- gium (PI. LV, fig. 11"). The top of the organ also becomes more steeply arched. At this time the spores still float freely in the watery contents of the macrosporangium, in company with the numerous unchanged sister-cells of the one spherical cell, which, by its division, becomes the mother- cell of the spores. Tour or more of those small delicate- walled cells are often found still loosely adhering to one another, a remnant of the innate connexion which in the earlier stages of development of the sporangium subsisted amongst the mother- cells. The layer of radially-extended, mucilaginous, actively-multiplying cells which clothes the inner wall of the capsule exists up to this time. It disap- pears with the further development of the spores, and the wall of the sporangium when almost ripe consists of only two layers of cells (PL XLI, fig. 16). The development of the large spores of many other species, especially of SeJaginella Martensi, helvetica, and spimdosa, differs from that above described, especially in the fact that the special-mother-cells last much longer than in S. hortensis. The spore has therefore (even when fully developed) a somewhat sharply defined tetrahedral form (PI. LV, fig. 13 ; PL LVII, figs. 6, 7), at least its apex ex- hibits three very distinct ridges, meeting at angles of 120°, and extending downwards for a considerable distance ; this is the case in S. helvetica. The species in which this occurred are all species in which the macrosporangia and microspo- rangia, differing little if at all in their external form, are intermixed apparently without regularity. In Selaginella Galeotlii even the very young large spores have a regular spherical form. In 8. Martensi a considerable increase in 390 HOFMEISTER, ON size takes place in that one of the many free spherical cells in the interior of the young capsule which is destined to become the mother-cell of the large spores (PI. LVII, figs. 1 — 5). Four new spherical nuclei (PI. LVII, fig. 3) are formed on the outside of its primary nucleus, which becomes more and more indistinct. Soon afterwards the primary nucleus disappears (PL LVII, figs. 4, 4*), and six septa meeting at angles of 120° suddenly appear in the mother- cell (one between each two of the secondary nuclei), which represent four tetrahedral special-mother-cells. In each of the latter a spore is formed after a previous considerable thickening of the wall, and during the very remarkable increase in size of the special-mother-cells which follows this thickening. The brown exosporium is in this species very thick. In the perfect state three layers are distinguishable, the middle one of which is of a glassy nature. The thick- ened special-mother-cells are still in a good state of preser- vation. The lines of division between each two are here far more clearly distinguishable than in any phamogamous plant except the Malvaceae (PI. LVII, fig. 7). At this stage of development a slight pressure separates the special- mother-cells, each of which contains a spore (PI. LVII, fig. 7b). In a manifestly diseased state of S. Martensi I have seen the disproportionately thick exosporium composed of prismatic (or, to speak more accurately, of truncate-pyramidal) fragments ; the spore had remained much smaller than usual (PI. LVII, fig. 8). During the formation of the outer membrane of the large spores of all the species which I have examined, the spheri- cal nucleus usually lies close under the place at which the three prominent ridges of the exosporium unite (PI. LVII, fig. 7).* It increases rapidly in size, and its nucleolus disappears. Afterwards numerous vesicular bodies appear within it (PI. LV, figs. 13, 14). As the spore approaches maturity it appears to be dissolved : I was never able to find it in those spores which entirely fill the macrospo- rangium.f * If the young spore lies for some time in water, the nucleus disappears. f Metteuius appears to assume that the nucleus of the spore gradually expands until it attaches itself at all points to the inner wall of the spore-cell ('Beitr. zur Botanik,' H. i, p. 7). I have never seen anything indicative of such a process. THE HIGHER CRYPTOGAMIA. 391 Iii the microsporangia all the free spherical cells of the interior divide at a somewhat early period into four tetra- hedral special- mother-cells. The process is similar to that which takes place in the division of the mother-cells of the large spores of Selaginella Martensi. Four new smaller nuclei are formed outside the primary nucleus of the cell, apparently by the double bipartition of a spherical accumu- lation of formative matter. Between each two of them the six double walls appear which separate the individual special- mother-cells from one another. The commissure of the septa of each two special-mother-cells is often very percep- tible even in the mother-cells of the small spores, notwith- standing the minuteness of the object (PI. LVII, fig. 10*). In each of the special-mother-cells a spore is formed, which in many species (for instance in 8. Martensi) produces wonderfully long spines on the outside of the exosporium after the absorption of the special-mother- cells. On the other hand the outer membrane of other species, such as S. helvetica, appears only slightly granulated. All small spores of Selaginella exhibit at the apex three converging ridges of the outer spore-mernbrane. In the microsporangia of cultivated tropical species of Selaginella, malformations are not uncommon. Thus in S. Martensi it frequently happens that a mother-cell divides into two or three special-mother- cells only,* of which three, two only produce spores (PI. LVII, fig. 11); or sometimes, out of a mass of special- mother-cells, two or even three become shrivelled, whilst the rest retain their vitality. In one case I saw the follow- ing singular phenomenon. In one sporangium, containing several abortive and several apparently healthy sets of mother-cells, eight oval cells occurred, more than three times as large as the largest special-mother-cells, and having a disproportionately thick, glassy, transparent wall, which exhibited manifest lamination : the cell-contents consisted of concentrated granular mucilage and a rather large nucleus (PL LVII, fig. 12). The large spores only of the Selaginellae produce pro- thallia. The first rudiments of the latter are formed before * As in 11. Browa's Triposporium. 392 HOFMEISTER, ON the bursting of the macrosporangia. A circular simple cellular layer appears spread over the inner side of the pri- mary spore-membrane, underneath the point in which the four special-mother-cells of the spores touch one another. Those cells are of the greatest height which are situated in the middle of the cellular layer underneath the point of junction of the three projecting ridges of the outer spore- membrane; they divide very soon by transverse septa. Towards the periphery the cells gradually diminish in height ; the outermost have the form of a procumbent wedge (PI. LVII, fig. 16). In many species, especially A7, hortensis and helvetica, the rudiment of the prothallium when seen from above appears to have no distinct boundary, inasmuch as the outermost edge of the marginal cells formed by the convergence, at a very acute angle, of the upper and under wall of the cell, does not refract transmitted light much more powerfully than the primary wall of the spore itself. The marginal cells of the prothallium when seen from above appear open towards the outer side (PL LVII, fig. 17).* The prothallia of other species, for instance of 8. Martensi, exhibit nothing of the sort (PI. LVII, fig. 18). I have not yet made out the first stages of development of the rudiment of the prothallium. It is uncertain whether it is formed, like the prothallium of Marsilea, by repeated bipartition of a single cell, or whether, like * I believe that the above explanation is sufficient to explain the peculiar phenomenon. Metteuius ('Beitr. zur Botanik/ Part 1, p. 10), deduces from it a mode of development of the cells of the prothallium, which would differ very widely from all other phenomena hitherto observed in the vegetable kingdom. He believes that the prothallium originates between two lamella? of the wall of the spore, which separate from one another ; that it increases gradu- ally in circumference whilst those lamellae become further separated from one another, and that new cells are added to the circumference of the prothallium in a manner which — even if it is not yet fully investigated — offers no points of resemblance with the hitherto better known forms of cell-formation. 1 consider Mettenius's conclusions to be incorrect, especially because the small-celled por- tion of the prothallium from which the archegonia are produced occupies when fully developed (PI. LVIII, figs. 1, 4), no relatively greater portion of the cir- cumference of the spore than it does when it first becomes visible. I consider it much more probable that the empty cells figured by Mettenius in fig. 10 of the first plate of his work, should be cells, which, by the development of the large-celled inner portion of the prothallium have been pressed against the outer spore-membrane, and squeezed together so as to obliterate the cavity, than that they should be cells in a formative condition. THE HIGHER CRYPTOGAMIA. 393 the endosperm of the Coniferae — which in so many respects resembles the prothallium of Selaginella — it is formed by the attachment of originally free cells to the inner wall of the large spherical firm-walled cell (the spore or embryo-sac) in which it originated. In the above state the large spores are discharged from the ruptured macrosporangium. In S. hortensis and hel- vetica their further development is preceded by a dormant condition which lasts for several months. During the latter, the walls of those cells of the prothallium which adjoin the spherical inner cavity of the spore become thickened. Thick- ening layers are formed on both their sides, leaving, in some cells, wide circular pits free (PI. LVIII, figs. 1, 2). By taking longitudinal sections of these pits it is seen that the thickening of the walls is most considerable on that, surface which is turned towards the interior of the spore. The contents of this large spherical cell secrete cellulose and cause a thickening not only of the septa which separate the contents from the cells which have attached themselves to the inner wall of the apex of the spore, but also of the free portion of the inner surface of the primary spore-membrane, so that the latter becomes a very compact glassy membrane ^o'" thick. The contents of the large cavity of the spore consist during this period of a mixture of albuminous and oily matter. These phenomena are most remarkable in S. hortensis, less so in S. helvetica. In S. Martensi and other tropical species the large spores germinate a few weeks after being sown, and the above thickenings of the walls are hardly perceptible (PI. LVII, fig. 19). When the further development of the prothallium com- mences, its cells divide repeatedly by longitudinal septa perpendicular to the outer surface, and by transverse septa parallel to that surface. This cell-multiplication begins in the middle point of the prothallium, proceeds from thence towards the periphery, and ceases long before it reaches the latter (PI. LVII, fig. 6). Before the repeti- tion of the division by transverse septa archegonia are formed. The first archegonium appears exactly at the apex of the prothallium ; those which are lower down are of later origin. 394 HOFMEISTER, ON The formation of the archegonium commences by the division by means of a transverse septum of one of the cells of the upper side of the prothallium. This is followed by the division of the upper cell by a longitudinal septum, and the division of the two halves by a septum at right angles to the one last formed and perpendicular to the free outer surface. Each of the four narrow tall cells which are situ- ated above the larger basal cell, is divided by a horizontal septum into two parts of which the under half is usually the lower in height (PI. LVJII, fig. 1). The four apical cells of the archegonium generally arch out into short papillae (PL LVIII, fig. 2). By the parting asunder at their edges of contact of the four parallel pairs of cells, a narrow passage is formed, leading to the basal cell (PI. LVIII, figs. 1*, 4). In the latter a spherical cell is pro- duced almost filling the mother-cell and rich in finely granular protoplasm. All the narrow cells of the pro- thallium now exhibit distinct nuclei if sufficiently fine sec- tions be taken. The outer walls of the cells of the upper side, especially those of the apical cells of the archegonia appear at this time remarkably thickened (PI. LVIII, fig. 2). Contemporaneously with the development of the arche- gonia a tissue of wider cells becomes visible spread over the under side of the small-celled portion of the prothallium (PI. LVIII, fig. 1). The middle of this cellular mass pro- jects into the unoccupied portion of the inner cavity ; it hangs downwards from the inner wall of the primary spore- membrane for some distance beyond the first-formed por- tion of the prothallium. Its marginal cells repeat the form of that of the older cellular layers ; they are wedge-shaped, and their under side forms a very acute angle with the inner wall of the spore. In 8. Martensi a similar large-celled tissue fills the entire cavity of the spore-cell. There is only one species, viz. 8. helvetica, in which I have been able to ascertain the behaviour of the small spores after they are set free. In this case however there was no doubt. Five months after the beginning of March, at which time they were sown upon earth mixed with fine sand and kept continually moist, a large number of very THE HIGHER CRYPTOGAMIA. 395 small * spherical cells were formed in almost every small spore, and nearly filled its cavity (PL LVII, fig. 13). By careful pressure these cellules escaped through the fissures of the ruptured spore-membranes. They contained either a finely granular protoplasm,! or a very fine, thin sperma- tozoon, rolled up spirally, which when free moved slowly (PL LVII, fig. 15). The production of spermatozoa in the small spores termi- nates long before the complete formation of the prothallium. In S. helvetica, as has been said, it ceases five months after the sowing of the spores, whilst the first archegonia on the prothaliia of large spores sown at the same time, did not appear until six weeks later. This is no doubt the reason why all experiments with the large spores yield no result — whether sown separately or mixed with the small spores — where the possibility of the subsequent access to the pro- thaliia of small spores of the same species, is precluded, £ The young plant or embryo is formed by the repeated bipartition of the one daughter-cell produced in the basal cell of the archegonium. It does not often happen that more than one archegonium of the same prothallium is im- pregnated. The abortive archegonia, especially those low down on the prothallium, often exhibit a peculiar luxuriant growth of their apical cells § (PL LVIII, figs. 4, 5). The first division of the mother-cell of the embryo (the germinal vesicle) takes place by a transverse septum (PL LVIII, fig. 3). || It happens occasionally but rarely that the embryo origi- nates immediately from the lower of the two cells, and that all its daughter-cells take part in the formation of the massive portion of its first axis (PL LVIII, fig. 6).- The * Diameter gjg'" or less. f See PI. LVII, fig. 13. I consider these cellules as not fully developed. % When I sowed the large and small spores together, and covered them with a hand-glass, all the sowing failed. Spring was similarly unsuccessful (' Mono- graphic de la famille des Lycopodiacees,' extraite des tomes xv et xxiv des 'Me- moires de I'Academie Royal de Belgique,' Bruxelles, 3 842 et '49, p. 316, note). Ou the other hand when richly-fruiting specimens of the same Selagiuella were brought under the hand-glass, embryos soon appeared. § Tiie process is very accurately explained by Mcttenius, 'Beitrage,' Part 1, p. 12. || See the note to this figure in the explanation of the plates. 396 HOFMEISTER, ON commencement of the formation of the first axis — which takes place by division of the terminal cell of the short pro- embryo by alternately inclined septa — is usually preceded by the division (from once to three times) of the terminal cell of the bicellular pro-embryo (embryo-bearer) by trans- verse septa. During this process a very considerable longitudinal expansion of the upper cells of the pro-embryo takes place, in consequence of which its lower end is pushed deep down into the tissue of wider cells, which tissue in S. liortensis now fills about a third part (PI. LY1II, fig. 4), and in S. Martensi the whole of the cavity of the spore. By the multiplication in manner above mentioned of the terminal cell of the pro-embryo, the first axis of the embryo is formed. In S. liortensis, after a very short longitudinal development, the number of the cells of this axis increases no further ; on the other hand an adventitious axis shoots out from one of its sides destined to break forth from the prothallium and to produce the first pair of leaves of the embryo (PL LVIII, figs. 7 — 10). The form of the growing end of this shoot, as well as the mode of its cell-multiplica- tion, is exactly that of the subsequent vegetative axes above described. Its growth is directed obliquely upwards. During its longitudinal development, the end of the primary axis of the young plant, which in S. liortensis is hitherto hardly perceptible, increases somewhat in size, more by the expansion of its cells than by their multiplication (PI. LVIII, figs. 7, 10). Before the shoot of the second order has pierced through the lower, wide-celled layer of the prothallium, it produces two opposite leaves, by the contemporaneous division of horizontal rows of cells of its wide lateral surfaces. After the shoot has emerged to the light these leaves are developed and produce chlorophyll in their cells. The arrangement of their cells exactly corresponds in all stages of develop- ment with that of the primary leaves of vegetative shoots. In the germ-plants of all the species which I have seen, these leaves bear appendages on both sides of their base. In their axils adventitious leaves are formed, precisely similar to those produced at a later period (PI. LVII, fig. 22). Not long after the appearance of the first pair of THE HIGHER CRYPTOGAMIA. 397 leaves the naked terminal bud above them becomes forked (PL LVII, fig. 22). Now, or soon afterwards, the cells of the lower portion of the axis of the second order undergo a sudden and considerable longitudinal expansion, and thus break through the small-celled upper half of the prothallium. The two leaves spread out expand in length and breadth, and become green. At the same time the two axes of the third order, into which the end of the axis of the second order has divided, commence their further development. Their cells multiply rapidly in a longitudinal direction, and produce leaves. The four longitudinal rows of leaves do not appear con- temporaneously upon the shoots of the third order. A lower first leaf appears without an opposite upper leaf. The next leaf which is a lower leaf of another longitudinal row, is also often without an opposite upper leaf. From thence upwards the arrangement of the leaves is regularly 2^. The longitudinal expansion of the two shoots of the third order (like that of the subsequent vegetative shoots) commences, in Belqginella hortensis, for the first time, when their ends begin to fork for the formation of the axis of the fourth order, and the result is that these leaves of the shoots of the third order are for some time so closely crowded, as to appear upon a cursory examination to belong to the axis of the second order, with whose two leaves they seem to form angles of different divergence. The first adventitious root springs out of that side of the axis of the first order which lies opposite to the place of origin of the shoot of the second order. It corresponds in development and structure most completely with those after- wards produced. In Selaginella hortensis it is usually first developed at a very late period, at the time of the commencement of the longitudinal development of the axes of the third order. Exceptions to this are of rare occurrence. It appears much earlier on the germ- plant of S. Marten si ; even whilst the embryo remains within the lower layer of the prothallium (PI. LVII, fig. 20). In the latter species the end of the primary axis is far more fully developed than in the former. 398 HOFMEISTER, ON 111 the mode of cell-multiplication, the succession of the shoots, and the development of the leaves, Lycopodium* comes much nearer to the Polypodiacese (for instance to Aspidium filiso-mcts) than to Selaginella, The terminal bud which is a conical wart, extends somewhat beyond the place of origin of the youngest leaf. The division of its apical cell, as well as the multiplication of the cells of the second degree, resembles the same process in Aspidium. The leaf appears to be formed by the multiplication of a single cell of the circum- ference of the terminal bnd. It grows in length by divi- sion of an apical cell by septa inclined alternately towards the upper and the under surface of the leaf. Here also it is easily seen that the cells of the base continue to divide long after the multiplication of the cells of the tip of the leaf has ceased. Ramifications of the stem occur by the forking of the terminal bud above the place of origin of the youngest leaf.f The growth of the roots exactly re- sembles that of the adventitious roots of the Polypodiacese, the Equisetacese, and the Pilulariae. Psilotiim triquetrum is exactly like the Selaginellse in the mode of forking its terminal buds. This plant also re- sembles Selaginella viticulosa, and still more so S. cordifolia, in the relation of the annual shoots to the buried perennial stem. The growth of the stem of Psilotum results from the repeated division of a single apical cell by means of septa inclined alternately in different directions. The growth of the .leaves in the first stages of development resembles that of Lycopodium. Afterwards a forking of the tip of the leaf takes place. The reproduction of those Lycopodiaceas which bear powdery spores of one kind only is still a mystery. Re- peated sowings of the spores of Lycopodium clavatum, L. inundatum, and of Selago, have yielded me no results, but I have lately often observed that in spores of Lycopodium Selago, which had been sown for from three to five months, numerous small spherical ceUs had been formed, similar to -* I have particularly examined lycopodium inundatum. f Compare Nageli, ' Zeitschr. f. Botanik/ Parts 3 & 4, PL.v, fig. 1. THE HIGHER CRYPTOGAMIA. 399 the mother-cells of the spermatozoa of Selaginella helvetica. I have not yet found spermatozoa inside these vesicles. De Bary has lately discovered (' Berichte der naturf. Gesellsch. zu Freiburg,' IS 58, p. 467), that the spores of Lycopo- dium inundatum produce a body composed of a few cells, whose structure is not unlike that of the arches-onium of a fern. It is probable from these observations that the similarly formed spores of Lycopodium, Psilotum, &c, are of different sexes, and as in Equisetum arvense produce partly archegonia and partly spermatozoa. Of late years the Lycopodiaceae have received less atten- tion from vegetable anatomists than any other of the higher cryptogams. Since the appearance of those parts of BischofPs ' Cryptogamische Gewachse,' which relate to these plants, few papers on the subject have been pub- lished. Karl Miiller's observations (which however are full of errors), are to be found in the ' Botanisehe Zeitung' for 1846, besides which we have Nageli's work cited above, and Mettenius's history of the origin of the embryo of 8. invol- vens. Spring's monograph is devoted principally to the limitation of the species. CHAPTER XV. CONIFERiE. The ovules of the Coniferse, however much they may differ in their position and mode of attachment, exhibit the greatest uniformity in their internal structure. A simple, some- what fleshy integument, surrounds a short and thick nu- cleus formed of delicate cellular tissue, leaving open a wide micropyle-canal. In the anatropal ovules of the Abietinese the division between nucleus and integument extends downwards only for a short distance (PI. L1X, fig. 10) ; the mouth of the ovule widens considerably above the apex of the nucleus, parallel to the spermophore, and appears as a transverse fissure. In Finns sylvestris and JP. strobus the nucleus exhibits a very remarkable depression of its apex; in Finns balsamea (PI. LIX, figs. 10, 11), the depression is less manifest. The nucleus in Juniperus and Thuja increases in diameter towards the apex : in both, the apex exhibits a depression, which however in Juni- perus is but slight (PI. LXIV, fig. 5). Lastly, the nucleus of Taxus, which is far larger than that of any other indi- genous Conifer, is quite like that of most phaenogams, in its oval form, and in the separation between its nucleus and integument, which extends to the base of the ovule (PI. LXIII, fig. 1). The nucleus at the time of the shedding of the pollen consists of delicate-walled cells filled with granular muci- lage. Deep in its interior — in the Abietinese and in Juni- perus, underneath the place where the integuments and the nucleus amalgamate; higher up in Thuja, and still H0FMEISTER, ON THE HIGHER ORYPTOGAMIA. 401 higher in Taxus — certain of the cells (in the Abietinege and in Juniperus rarely more than one)* of the middle longitudinal string of the cellular tissue of the ovnle become the embryo-sacs (PI. LIX, figs. 10 — 12). In the ovule of Taxus a short row of cells, usually consisting of three cells of the axile cellular string of the nucleus, is distinguished from the neighbouring cells by their size, and by their containing an abundance of granular mucilage mixed with small starch-granules (PL LXIII, fig. 2). Of these cells sometimes one, sometimes each one of the three is deve- loped into a perfect embryo-sac; Taxns, at first, always exhibits more than one. The cellular layers immediately surrounding the embryo sac are strikingly distinguish- able from the rest of the tissue of the ovule by their more delicate cell-walls, and by the greater concentration of the mucilaginous contents. The first stages of development of the pollen of the Coniferse, from the individualization of the mother-cells up to that of the pollen-cells, correspond exactly with the ordinary type of phamogams. The young anther of Pinus f appears at the end of the autumn preceding the flowering season as a short, spatula-shaped scale, convex below. On its under-side, near the base, two oval protuberances are to be seen : these are the lobes of the anthers. Each lobe is filled with a firmly- connected tissue of rather large, delicate- walled cells, the mother-cells of the pollen. Each of these cells contains a spherical nucleus, occupying about one half of the cell-cavity, and having rather transparent fluid contents, and several very small nucleoli. The rest of the cell-cavity is occupied by a gelatinous mucilage in which numerous very small starch-granules are embedded. Tincture of iodine colours this mucilage a pale yellow, and the coagulating fluid contents of the nucleus a deep brown. Two layers of tabular cells form the entire outer covering of the mass of mother-cells ; the layer of horizontally * There are trees of Pinus syhestris (one for instance in a marshy spot in the Botanical Garden at Leipzig) which, like the yew, develops two embryo-sacs in most of their ovules. f The species which 1 examined were P. sylvestris, maritima, Larix, and balsamea. 26 402 HOFMEISTER, ON expanded cells which occurs in so many monocotyledons and dicotyledons is altogether wanting in the Coniferee. The mother-cells remain during the winter in the state described. At the commencement of the warmer season the connexion between the mother-cells is dissolved. This occurs in Pinus sylvestris at the beginning, and in P. maritima in the middle of April. The membranes of these cells become thickened, and one or two of the nucleoli have increased in size. In Pinus balsamea this growth is far more considerable than in Pinus sylvestris, where sometimes all traces of the nucleoli have already disappeared. The fluid substance of the nucleus coagu- lates very easily under the action of water, even more rapidly than in Tradescantia. The viscid fluid contents of the cell then appear most clearly distinct from the spherical cavity, which was filled by the nucleus before the latter became coagulated and contracted into a spherical ball. In Pinus Larioc the slight tendency of the cell-fluid to absorb water and become swollen — which is the cause of the appearances above mentioned in P. balsamea — exhibits itself in a different manner. The membrane of the mother-cell swells rapidly in water, and is lifted away from the cell-contents, the original volume of which is not increased. The dissolution of the nucleolus or nucleoli soon ensues, as well as that of the nucleus, just in the same wray as in Tradescantia, Lilium, Iris, Passiflora, &c. In the homo- geneous fluid contents of the cell, two large flattened elliptical nuclei are next formed. The fluid substance of the latter refracts light in almost exactly the same manner as the fluid contents of the cell, from which it can only be distinguished with much difficulty. At their first appear- ance these nuclei never contain nucleoli (PL LIX, figs. 2 — 4). Nucleoli — especially in Pinus balsamea — are first produced at a later period, contemporaneously with the distinct defi- nition of the limits of the cell-fluid. These nucleoli are always very numerous, sometimes there are as many as twenty. The nucleoli produced from the nucleus of a ruptured mother-cell of P. balsamea were coloured blue by diluted tincture of iodine, proving themselves to be starch- granules. THE HIGHER CRYPTOGAMIA. 403 The numerous amyloid granules of the cell-sap, accumu- late, after the production of two secondary nuclei, in the form of an annular girdle in the equator of the cell. This girdle soon divides into two, parallel to one another (PI. LIX, fig. 3). The division of the cell-contents into two halves appears thus to be indicated. These conditions are so frequent that I do not doubt they must occur in all mother-cells. The further formation, however, takes place in two different ways. The case of least frequent occur- rence is as follows : — A delicate line suddenly appears in the equator of the cell between the two girdles of granules, which line immediately disappears under the action of strong reagents. I believe the line to indicate the surface of contact of the two membraneless halves of the cell- contents produced by the division of the contents of the mother-cell. Shortly afterwards a circular rido;e makes its appearance, seated upon the inner wall of the mother-cell and traversing its equator, and forming as it were a frame to the septum of the two special-mother-cells of the first degree wrhich are in course of formation. The other case above alluded to, and which is the one of ordinary occurrence, is the following: — The division of the primordial utricle is in- terrupted by the fact that the membranes of the secondary nuclei are absorbed, and in the place of each one of them, two — making four altogether — perfectly spherical nuclei are formed, which either lie in one plane, or are arranged at the angles of a tetrahedron. Between each two of these, flattened accumulations of granules are produced, in each of which a delicate line suddenly becomes visible, which is the first indication of the septum dividing the two special- mother-cells. After the formation of two special-mother-cells of the first degree, two cells are formed in each of them, so that then each set of special-mother-cells consists of four. Finns Larix differs somewhat from other Coniferse in the circumstance that in one way or another more than four special-mother-cells and pollen-cells are frequently, in fact almost always, formed in one mother-cell. The usual number is six, and the occurrence of seven or eight is not unusual (PI. LIX, fig. 6). 404 HOFMEISTER, ON In Juniperm and Thuja occidentalis the phenomena of cell-division are exactly the same as in the above-named plants. In the former, however, on account of the small- ness of all the parts, and in the latter, owing to the abun- dance of starch- granules in the cell- contents, the obser- vations are rendered much more difficult. In each special-mother-cell a pollen-cell is formed, which, when its membrane first becomes visible, entirely fills the cavity of the former. The two layers of the membrane of * the pollen-cell, the intine and the extine, are clearly distin- guishable whilst the pollen-cell is still enclosed in the special-mother-cells. The rudiments of the two hemi- spherical appendages of the extine which are characteristic of Abies pectinata, Picea vulgaris, and Pinus sylvestris, are formed whilst the pollen-cell is still within the special- mother-cell. These appendages consist, when in the young state, of a soft inner substance, which passes on the outside into a firmer cortical layer composed of reticulate ridge-like protuberances. By the use of any fluid which attracts water, such as a solution of sugar, the inner substance is contracted into a smaller space, and the cortical layer of that portion of the appendages which is furthest from the middle point of the pollen-cell is made to turn inwards. After the pollen-cells have become free by the dissolution of the walls of the mother- and special-mother-cells, a cell- multiplication commences in them which is quite peculiar to the gymnosperms, and is not seen in any other phaeno- gams. Two nuclei suddenly appear in the cell — a spherical one, similar in all respects to the original nucleus of the pollen-cell, and one somewhat smaller of a very flatly- lenticular form (PL LIX, fig. 7). It is hardly a matter of doubt that the latter is newly formed by the side of the primary nucleus of the pollen-cell. Soon afterwards the two nuclei appear separated by a membrane, convex towards the larger one, having the form of a segment of a spherical surface, and which divides the pollen-cell into two unequal parts. That part which contains the flattened nucleus is the smaller one. The disproportion in size of the two parts is inconsiderable in Pinus Larix (PI. LIX, fig. 8), but very remarkable in Picea vulgaris and Pinus syhestris. THE HIGHER CRYPTOGAMIA. 405 In the Abietineae the lenticular daughter-cell of the pollen-grain increases rapidly in size, and divides twice by septa convex towards the middle point of the pollen-cell. When the pollen-grain is ripe a cellular body is found at one end,* projecting far into the cavity of the pollen- grain, and consisting of a large vesicle borne upon a stalk consisting of two low meniscoid cells. In Pinus Larix this body fills more than half the cavity, and in Picea vul- garis and Pinus sylvestris it fills the latter almost entirely (PL LIX, fig. 9). The inner membrane of the pollen-cell exhibits, even in the young state, a great capacity for distension, so that when placed in water the intine swells into a wide layer, which stretches the extine and compresses the cell- contents. After the pollen-grain is ripe this peculiarity is intensified ; thus, for instance, when the detached pollen of Pinus syl- vestris is moistened with water, the extine is immediately ruptured, and frequently entirely stripped off.f The development of the pollen of Juniperus, Taxus, and Thuja appears to be similar in all respects to that of the Abietinese, but the smallness of all the parts, and the want of transparency of the cell-contents interferes very much with the examination in these plants. The perfect pollen- grain of Juniperus, Thuja, and Taxus appears to be divided * That end which corresponds with the point of contact of the pollen-cell with its sister-cell. In Pinus Larix the daughter-cell lies in the more pointed end of the oval pollen-cell : in Pinus sylvestris and Abies pectinata it lies on the longest edge of the pollen-grain, in the middle part of that side which lies oppo- site to the side which bears the two hemispherical appendages of the extine. f The structure of the pollen of the Abietinea? was correctly understood and described by Pritzsche ('Mem. Acad. St. Petersbourg p. divers savants,' III (1837), p- 693). He states that at the one pole of the somewhat ellipsoidal pollen-grain of Pinus Larix, the outer one of the two layers which compose the inner membrane encloses a cavity filled with granular matter, underneath which, in a depression of the inner layers of the intine, a second similar but more sphe- rical cavity is found; to the latter is attached a closed vesicle, filled with fovilla, which projects into the interior of the pollen-grain. Pritzsche in like manner ascertained the structure of the pollen of Pinus sylvestris — a more diffi- cult matter — only here the central vesicle appeared to him to be altogether wanting. Schacht ('das Mikroskop,5 2nd edition, Berlin, 1855, p. IIS) ex- plained that in P. sylvestris the vesicle in question entirely fills the cavity ; he pointed out also that in the Coniferee it is not the inner membrane of the pollen- grain, but the above vesicle — the terminal cell of the short row of cells which is attached to one pole of the pollen-grain — which grows out and forms the pollen-tube. 406 HOFMEISTER, ON into only two unequal cells ; it is probable that the larger of the two is the terminal cell — expanded so as entirely to fill the pollen-cell — of the short row produced by the multiplication of the smaller portion of the pollen-grain.* The cell-multiplication in the interior of the pollen-grain of the Conifera3 takes place very rapidly ; in the space of a fewT clays ; I observed it, for instance, in Finns Laricc, in the year 1855, to last from the 27th of March to the 10th of April. The pollen of the Coniferae passes through the wide micropyle directly on to the nucleus. Each pollen-grain sends out into the tissue of the latter — at first only for a short distance — a tube formed by the prolongation of the terminal cell of the short row of cells attached to its inner wall. In Taxus and Juniperus this tube is emitted shortly after the shedding of the pollen, in the Abietinese not until after remaining dormant for many weeks. The formation of pollen-tubes takes place in Pinus sylvestris, Muglius, and austriaca at the beginning of June, in P. Strobiis somewhat later. In a few days they penetrate at the utmost not farther than near to the place where the integument sepa- rates itself from the nucleus (PI. LIX, fig. 14); then, and not unfrequently even sooner, their longitudinal growth ends for the first time (PL LIX, fig. 17). Up to this point the embryo sac remains a simple cell, whose large nucleus is gradually dissolved (PI. LIX, fig. 14). Some days later however numerous free nuclei appear in its interior (PL LIX, fig. 15), and immediately thereupon it appears filled by a large number of radially-elongated cells arranged in a concentrical layer (PL LIX, figs. 16, 16J), which mul- tiply actively in all three directions until the commence- ment of the winter rest. The primary wall of the embryo- sac has in the mean time become so thin and delicate that it almost disappears from observation. At the same time a considerable multiplication of all the cells of the nucleus * The pollen of Ephedra behaves exactly like that of Lark (see Schacht, cdas Mikroskop/ 2nd ed., 1855, p. 148); the pollen of the Cycadese on the other hand appears unicellular when ripe. Possibly stages of development similar to those of the Conifera are gone through in these plants, but are entirely obliterated at an early period. THE HIGHER CRYPTOGAMIA. 407 takes place in length, breadth, and thickness. With the commencement of the cold season the walls of the endo- sperm which fills the embryo-sac become much thick- ened, and exhibit lamination of the gelatinous substance of the thickened portions (PL LIX, fig. 13). If delicate sections of the endosperm are placed in water, the gela- tinous matter of the thickening layers of the cell-walls becomes rapidly and easily dispersed in the fluid ; the pri- mordial utricles of the cells then lie free in the cell-cavity (PI. LIX, fig. 17). The thickened walls of the central cells of the endosperm are the most sensitive to the action of water. This peculiar nature of the cells of the transitory endosperm of the first year renders the observation of their walls especially difficult.* At the beginning of March the dissolution of the thickened cell-walls of the endosperm commences. Each of the primordial cells thus made free exhibits a large central spherical nucleus filled with brighter fluid (PI. LX, fig. 1). About April this nucleus is dissolved; cells whose nuclei have been just absorbed contain 'numerous spherical drops of a highly refractive substance, which nearly fill the cell. Further developed cells contain two (PI. LX, fig. 1*), others four, many only three nuclei. Around each such nucleus a free daughter-cell is formed, originally of a spherical shape, lying free in the mother-cell. By absorption of the wall of the mother-cell the daughter- cells become free ; the same process is repeated in their interior (PL LX, fig. 3). Thus the number of the cells enclosed by the embryo sac increases very rapidly in geome- trical progression. The embryo-sac itself grows in a re- markable manner to more than twenty times its previous volume by pushing aside the loosened cells of the adjoining portions of the nucleus of the ovule ; its wall, hitherto very tender, becomes thick and glassy, and ultimately granulated on the outer surface. At the same time a very active mul- * The earlier observers considered the embryo-sac filled with cellular tissue to be a cavity in the tissue of the nucleus (Hartig, < Naturgeschichte der Forst- culturpflauzen,' see the explanation to fig. 17 of Plate xxv. Gottsche, JJot. Zeit.,' 1845, p. 380). Quite lately Pineau pointed out its true nature (' Ann. d. Sc. Nat.,' iii ser. vol. ii, p. 85). 408 HOFMEISTER, ON triplication recommences in the cells of the ovule, with the exception of the upper portion of it which has been tra- versed by the pollen-tnbes and which remains stationary ; the ovule grows from one third of a line to two lines and a half. In the middle of May a simple layer of cells begins to spread itself on the inner wall of the embryo-sac (PI. LX, fig. 2). The side-walls of these cells do not yet touch one another at all points (PL LX, fig. 2b) ; if the embryo-sac is ruptured by gradually increased pressure, the cells within it and those also which are spread over its wall are driven out through the fissure in the form of spherical vesicles (PL LX, fig. 3). The firm adhesion inter se of the above cells does not take place until after several layers of them have been formed (PL LX, fig. 4). The cell-multiplication at the same time goes on continually, both in the free cells of the centre, and in those forming the parenchymatal mass of the periphery. Thus at last there is again formed an endosperm entirely filling the inner cavity of the embryo-sac, a body far longer in its circumference and composed of a far greater number of cells than the one which existed at the commencement of the winter rest. The development of the endosperm of Juniperus much re- sembles that of the species of Pinus whose seeds take two years to ripen. In the lower part of the nucleus before the shedding of the pollen there is found a cell surrounded by concentrical layers of smaller cells: this cell is the embryo-sac. It becomes filled with a few cells (PL LXIV, fig. 5), shortly after those pollen-grains which have reached the nucleus have begun to emit tubes. In this condition the ovule remains through the first summer and winter. At the commencement of the next vegetative period the ovule and embryo- sac increase rapidly and remarkably in size, and the primordial utricles of the cells which fill the embryo-sac become individualised. By active multiplication of these primordial cells, numerous cells are produced floating freely in the fluid contents of the embryo-sac. They soon * clothe the inner wall of the embryo-sac in the form of a compound cellular layer (PL LXIV, fig. 6); by division * At the beginning of May in the second year. THE HIGHER CRYPTOGAMIA. 409 of the cells of the latter, coupled with the deposition of new cellular layers on the inner side of those first formed, the embryo-sac is soon (within the space of a week) filled for the second time with closed cellular tissue. The development of the endosperm of Taxus is far more simple. The rudiments of the embryo-sacs are here represented (as has been already mentioned) by several larger cells situated in the middle of the lower portion of the nucleus of the ovule, surrounded by cellular tissue arranged in scale-like layers (PI. LXIII, fig. 2). Soon after the shedding of the pollen the tissue surrounding those cells becomes loosened (PI. LXIII, fig. 4). The growing embryo-sacs begin to increase considerably in size ; this increase in many instances continues to go on in one only of the embryo- sacs ; the growth of the others is arrested, they become shrivelled, and at last, like the loosened cells of the surrounding tissue, they are dissolved and displaced by the one embryo-sac (PL LXIII, figs. 5 — 8). Often however two of these larger cells grow and form embryo- sacs. The nucleus of the cell destined to form the embryo- sac is soon absorbed, and the cell then usually assumes the shape of a flask (PI. LXIII, fig. 5). Two new nuclei soon appear contemporaneously in its upper part, embedded in the mucilaginous layer which clothes the inner wall. More and more nuclei soon make their appearance in the lower part also of the young embryo-sac in a similar position (PI. LXIII, figs. 6, 7). At first they often have no nucleoli, but at a more advanced period of growth the latter are never wanting. A cell is formed around each of the nuclei which are deposited upon the inner Avail of the embryo-sac (PI. LXIII, fig. 8). The walls of the young cells soon close upon one another, and thus the embryo-sac is filled with closed cellular tissue, except at its young upper end, where nuclei are found which for a long time continue to float freely (PI. LXIII, fig. 9), until at last, at this end also, the formation of parenchyma proceeds. In those Abietinese whose seeds ripen the first year, the embryo-sac is filled, a few days after the shedding of the pollen, with a closed tissue of large cells (PL LXII, fig. 11), by whose con- tinual multiplication in all three directions the endosperm 410 HOFMEISTER, ON increases in size. Thuja and Cupressus behave in just the same manner. In all the Coniferae, after the embryo-sac has become entirely filled with cellular tissue, a considerable growth commences in certain cells situated close under the mi- cropylar end of the endosperm, which growth sets in even long before the cell-multiplication in the neighbouring cells has ceased (PI. LX, figs. 5 — 7). Thus the essential part — viz., the large spherical cell — of the so-called cor- puscula is differentiated from the surrounding tissue. In the Abietineae each corpusculum is separated from the next by at least one, often by several cellular layers (PI. LX, figs. 6, 7 ; PL LXII, fig. 3). The corpuscula of Juniperus (PL LXV, figs. 1 — 3, 9), Thuja and Cupressus, immediately adjoin one another. In Taxus two corpuscula are sometimes in contact ; most of them are separated from one another by thick layers of cellular tissue (PL LXIV, figs. 1, 2). The corpuscula of Taxus are shortly ellipsoidal, those of the Abietineae are ellipsoidal and elongated ; those of Juni- perus and Cupressus are long and prismatic, with blunt edges and small ends. The formation of corpuscula is not always limited to the micropylar end of the albuminous body. In Juniperus especially, numerous irregularities occur : sometimes there is only a remarkable increase in size of the deeply seated cells of the endosperm, some- times a corpusculum is formed complete in all its parts and opening in the middle of one of the lateral surfaces of the endosperm. The apex of each corpusculum is at first only separated by a single cell from the inner wall of the upper arch of the embryo-sac. In most of the Coniferae this cell divides twice, and produces four cells lying in one plane which are distin- guished from the neighbouring cells by their contents being thickly mucilaginous and having many granules ; this is the case in Pinus sylvestris (PL LX, fig. 8), Pinus Strobus, austriaca, maritimus and Mughus ; in Abies Larix and bal- samea ; in Taxus baccata (PL LXIII, fig. 11), and cana- densis (PL LXIV, fig. 1) ; in Juniperus sibirica (PL LXV, figs. 2, 9) and communis; in Cupressus pyramidalis and Thuja orientalis. In Pinus Fraseri I found the four apical THE HIGHER CRYPTOGAMIA. 411 cells often divided transversely, so that the rosette consisted of eight cells lying in two planes. Pinus canadensis and Picca L. are remarkable exceptions. Here the one cell which covers the top of the corpuscula does not divide by longitudinal septa crossing one another, but by repeated transverse septa (PL LXII, figs. 1, 2). It thus keeps pace with the multiplication of the cells of the top of the endo- sperm, which multiplication in the other Abietineae and in Juniperus continues after the formation of the corpuscula, whilst in the above species the double pairs of cells which cover the upper arch of the corpuscula are sunk in depres- sions of the upper side of the endosperm, over which the primary membrane of the embryo-sac extends. In Juni- perus, Thuja, and Cupressus the top cells of all the corpus- cula, with rare exceptions, are closely crowded together at the base of a wide depression of the top of the endosperm (PI. LXV, figs. 2, 9). The upper end of the endosperm of Pinus exhibits as many funnel-shaped depressions as there are corpuscula ; each of these short passages leads to a single corpusculum. In like manner, in Juniperus, Thuja, and Cupressus, the parenchyma of the endosperm grows over the covering cells of the corpuscula. At the top of the endosperm there is found a rather deep depression whose base is occupied by the closely-crowded four-celled rosettes of the elongated corpuscula, which latter are in contact with one another. The cells of the endosperm which adjoin the corpusculum on the sides and below, divide repeatedly by septa at right angles to the surface of the latter. A layer is thus formed which surrounds the corpusculum, and consists of small cells filled with granular mucilage. This layer is very striking in the Abie tinea?. In Pinus sylvestris and austriaca the number of corpus- cula is from three to five ; in Abies balsamea and pectinata usually three ; in Pinus canadensis very regularly four (rarely five) ; in Taxus baccata and Juniperus from five to eight. The primary nucleus of the cell which becomes the cor- pusculum lasts for some time ; in Pinus sylvestris (PI. LX, figs. 5, 6) until the corpusculum has attained half its full 412 HOFMEISTER, ON size ; in Jimiperus (PI. LXV, fig. 2) until the full size is attained. In Pinus it usually lies at the upper end of the corpusculum — that end which is turned towards the micro- pyle — rarely at the opposite end ; it is embedded in a muci- laginous layer, which clothes the inner wall of the organ, and which in Pinus is thin, and rendered turbid by numerous granules (PI. LXV, figs. 5, 6), and in Juniperus and Cu- pressus* firm and transparent ; in the centre of the corpus- culum there is only a small ellipsoidal cavity filled with watery fluid. At last the nucleus is dissolved ; in Pinus syhestris this is often preceded by the formation of a free spherical cell around this nucleusf (PL LX, fig. 5). At last it disappears from observation, and at the same time, in the Abietineae, several vacuoles make their appearance : the latter are so numerous and so close together in Pinus syhes- tris and Strobus, that they impart a frothy aspect to the whole contents of the corpusculum ; in Pinus Larix and canadensis they are less numerous and of very unequal size. During the further development of the corpuscula the number of these vacuoles diminishes. Nuclei and free nucleolate spherical cells now appear amongst them, the latter at first being only small and few in number. Their number however soon increases, whilst that of the vacuoles diminishes more and more. In Pinus syhestris and Strobus, and in Abies Larix, the latter disappear entirely before the arrival of the pollen-tube at the corpusculum, whilst in Pinus canadensis, Picea Larix, and in Larix, one or two of the vacuoles in the middle of the corpusculum usually last until the moment of impregnation. In Pinus canadensis, Picea Larix, and Larix, the free cells which float in the in- terior of the corpuscula, i. e., the germinal vesicles, appear almost all undivided until impregnation (PI. LXII, fig. 1) • in a few cases only in Pinus canadensis and Larix, indivi- dual germinal vesicles are found more or less entirely filled * In the later stages of development of the corpusculum ; in the earlier con- dition strings of granular mucilage radiate from the nucleus. f As is the case round the primary nucleus of the embryo-sac of Asphodelus luteus and Funkia ceerulea. See pp. 10 and 13 of my ' Eutstehung des Embryo der Phaneroganien.' THE HIGHER CRYPTOGAMIA. 413 by two, very rarely three or four, endogenous daughter-cells. In Pinus sylvestris on the other hand very many of the germinal vesicles, and in Pinus Slrobus almost all of them, contain, even before impregnation, several — sometimes as many as six, usually four — nucleolate daughter-cells. The membranes of the germinal vesicles, as well as those of the daughter-cells formed before their impregnation, dissolve in water. The germinal vesicles of Pinus cana- densis contain small amyloid granules which are not found in other species. The phenomena which may be ob- served in the formation of the germinal vesicles, resemble generally those which appear in the formation of the cells of the endosperm of phsenogams in the restricted sense of the word. The free cell- formation in the impregnated embryo-sac of the Iridese* offers the most points of resemblance. As in that case the first organized forma- tions have the form of vesicles of moderate size. They either possess fluid contents only, or in more rare instances they have one or two spherical bodies (nucleoli) of a strongly refractive substance, floating in the fluid contents. These formations according to current notions • must be considered as nuclei. The larger of these vesicles exhibit in their interior a small spherical, cellular formation — the nucleus around which the cell originated — situated some- what excentrically, and exactly similar to the above-men- tioned freely -floating bodies. There is only one circum- stance which does not entirely accord with these explana- tions of the observations, and that is, that sometimes (although not often), cells are found whose single nucleus is decidedly smaller than any one of the freely-floating nuclei observed contemporaneously in the same corpus- culmn. This may however very probably depend upon individual peculiarities. It may well be, that the moment at which a cell is formed round a nucleus, is determined by circumstances quite unconnected with the fact whether or not the nucleus has attained its greatest size. A nucleus might, long before it was full-grown, become the middle point of a cell in process of formation. If it be * « Entstelmng des Embryo,' p. 27. 414 HOFMEISTER, ON assumed that its growth then ceased, the above pheno- menon would be sufficiently explained.* The refractive power of the substance of the nuclei of the freely-floating cells of the corpuscula of Pinus si/Ivestris, austriaca, and Strobus, is so exactly the same as that of the contents of the cells, that the nuclei do not become visible until by the prolonged action of water, or of tincture of iodine, the contents of the cell and of the nucleus are changed, and the albuminous matter coagulated. In the corpuscula of Pinus canadensis the refractive power of the nuclei upon transmitted light is greater than that of the contents of the cells. The number of the freely-floating cells in the corpuscula of the Abietineae is so great that they quite fill the latter. This is the ground of the statement made by Mirbel and Spach that the corpuscula are filled " par un tissu fin et jaunatre." In Taxus, Juniperus, and Cupressus, the number of these cells is usually less, but yet cases occur here also in which they entirely fill the corpuscula (PI. LXIII, fig. 11 •; PI. LXIV, fig. 1 ; PI. LXV, fig. 9). Of the many delicate-walled daughter-cells of the corpusculum, those which occupy its upper and lower end often appear to be pressed against it, in like manner as the germinal vesicles of the phaenogams and the cells antipodal to them press against the two ends of the embryo-sac. In the upper end of the corpusculum they are only found when the arch of the latter is particu- larly steep, and then several usually occur (PI. LXI, fig. 1) ; in the lowrer end one only is found, and that not often ; when present it is much flattened above. The development of the endosperm in the embryo-sac of the Coniferse does not appear to be absolutely dependent upon the contact with pollen of the same species, although * It is undeniable that many cases of free cell-formation, especially those occurring in the embryo-sac of phsenogams, when considered by themselves, agree better with the theory of the identity of tlie cell and the nucleus, than with the opposite one propounded by Schleiden. It is not so however with all; in some eases (Asphodelus alius, Staphyleaphmata) the diameters of the cells in process of formation are always at least half as large again as those of the largest of the freely-floating nuclei. The undoubted analogy however with the fully- observed cases of the so-called cell-division, suggests the necessary explanation even of those more obscure phenomena. THE HIGHER CRYPTOGAMIA. 415 it is undeniably favoured by such contact. I have known flowers of female specimens of Juniperus sibirica, which had been completely separated from male ones, to produce normal fruit, and to develope endosperm with fully formed corpuscula. Female flowers of young trees of Pinus cana- densis, which were three miles distant in a straight line from the nearest other trees of the same species, produced, for two years successively, only female flowers, but no male ones. Microscopical examination showed that in both cases no pollen-grains were present upon the nucleus. In both, the formation of embryos was entirely suppressed. After the interval which occurs in the growth of the pollen-tubes — and which takes place even in those Coniferse whose seeds ripen the first year — the latter begin again to penetrate towards the embryo-sac. This happens almost at the time when the differentiation of the corpuscula from the surrounding tissue commences. After the tubes are completely formed they reach the endosperm : in Pinus sylvestris and Juniperus sibirica this happens at the be- ginning of June, in Pinus Strobus and Juniperus communis at the end of June of the second year ; in Abies excelsa and Taxus canadensis in the middle of May, in Taxus baccata at the end of May, and in Pinus canadensis at the end of June, of the first year. The deeper the pollen-grains pene- trate into the nucleus the thicker they become, a pheno- menon which is most manifest in Taxus, and least so in the Abietineae. The growth in thickness of the lower part of the pollen-tube of Taxus is so remarkable, that the organ assumes the form of a conical sac (PI. LXIII, fig. 11; PL LXIV, figs. 1, 2). The great transverse increase does not commence until the completion of the longitudinal growth. About the time when the pollen-tube reaches the endo- sperm, the very thick, hitherto leathery and tough primary wall of the embryo-sac which encloses the endosperm, is softened at the top. The pollen-tube breaks through this wall, apparently after some resistance, (a constriction or sudden narrowing of the tube is often visible at this place), and reaches the double pairs of cells which cover the tops of the corpuscula. Sometimes it makes its way sideways to the corpusculum, piercing through and destroying the 416 HOFMEISTER, ON tissue of the endosperm. This has been often observed in Pinus canadensis. In Taxus it often destroys the entire uppermost part of the endosperm ; on the other hand the four cells which close up the corpusculum which is about to be impregnated, are at first only slightly pushed apart from one another, by the protrusion by the pollen-tube of a short prolongation which passes between their detached edges and up to the outer wall of the corpusculum (PL LXIV, figs. 1,2). These cells do not disappear until a later period, after the formation of the pro-embryo ; they often last for a very long time (PL LXIII, fig. 13). Juniperus and Thuja (PL LXV, figs. 2, 3, 9, 10,) behave in a similar manner. In the Abietinese, on the other hand, the cells above the corpuscula are destroyed immediately after the pollen- tube has reached them (PL LX, fig. 9 ; PL LXI, fig. 1 ; PL LXII, figs. 2, 3). Its end attaches itself to the outer wall of the corpusculum ; in Pinus canadensis it then often expands considerably in breadth (PL LXII, fig. 3). With this process in most cases, its penetration terminates ; more rarely it breaks through the wall of the corpusculum and grows into it for a short distance. This happens regularly in Pinus Larix, and tolerably frequently in Pinus canadensis (PI. LXI, figs. 13, 14 ; PL LXII, fig. 2).* Free spherical cells are often developed in the interior of the ends of those pollen-tubes of the Coniferae which penetrate up to, or into the corpusculum. In the Abietineae the observation of them is often rendered difficult by the large number of co-existent starch-granules, but even here undoubted instances of the presence of cellular formations in the pollen-tubes may easily be seen. The pollen-tube of Pinus canadensis when it has penetrated into the corpus- culum usually contains — -in addition to granules of starch and mucilage — several (2, 4, or even 8) sharply defined spherical balls of finely granular protoplasm floating freely in the interior of the tube (PL LXIII, fig. 2). In some of these corpuscula I saw, close under the end of the pollen- tube but not in contact with it, a free oval cell differing from the germinal vesicles which — still in the same state as- before the arrival of the pollen-tube — filled the rest of the * Many such cases are figured by Pineau, 'Ann. d. Sc.' iii. ser., vol. xi, pi. vi, fig. .4 ; and by Schacht, ' Entw. des Pflanzen-embryon,' pi. xi, fig. 5 — 7. THE HIGHER CRYPTOGAMIA. 417 cavity of the corpusculum, by being somewhat larger, and especially by its containing a considerable quantity of granules of protoplasm of a larger size (PI. LXII, fig. 2). The nucleus of these cells differs from those of the neigh- bouring germinal vesicles by the more considerable size of the nucleoli. In other corpuscula which were taken partly from ovules of the same cone I found a similar cell, but without a nucleus, at the base of the corpusculum. In other corpuscula, again, from the same inflorescence, a cell of the same kind furnished with a firm membrane * was firmly pressed into the lower end of the corpusculum. It can now be recognised beyond a doubt as the primary cell of the compound pro-embryo (PI. LXII, fig. 4). In an impregnated corpusculum of Pinus canadensis which already contained a multicellular pro-embryo, I once saw a large free cell, situated above the latter and containing two nuclei, and very similar to an impregnated germinal vesicle on the point of dividing (PL LXII, fig. 5). This observa- tion is the only one of the kind which occurred in the course of my very numerous investigations, and it indicates that more than one germinal vesicle of the same corpus- culum may be impregnated. The pollen-tube of Pinus sylvestris, after penetrating the rosette of the corpusculum, usually passes only for a short distance into the interior of the latter, so that the end of the tube projects into the end of the cavity in a hemi- spherical form ; a farther penetration is of rare occurrence. In the earliest observed conditions in which a change in the contents of the corpusculum was perceptible, an oval, capa- cious, sharply defined cell, was visible near the base of the corpusculum ; in the more pointed lower end of this cell a lenticular nucleus was embedded in a considerable accumu- lation of granular protoplasm (PI. LX, fig. 9). The walls of the upper part of the cell are clothed with a thin layer of plasma ; a flattened layer of protoplasm passes through the entire length of the upper cavity of the cell. In other corpuscula the lower end of this cell almost touched the base of the corpusculum. In these cases the nucleus, and the accumulation of protoplasm enclosing it, appeared sur- * In the conditions previously mentioned this membrane was wanting. 27 418 HOFMEISTER, ON rounded by a firm cell-wall, and separated from the ripper, very delicate-walled, larger un-nucleated portion of the cell. Corpuscula from the same tree examined one or two days later, exhibited this small lower daughter-cell attached to the lower part of the corpusculum, to whose walls the lateral surfaces also of the upper, un-nucleated, larger portion of the cell adhere, whilst the boundary in the direction of the apex of the corpusculum becomes in- distinct (PL LX, fig. 10). As in Pinus canadensis the end of the pollen-tube during these processes exhibits no opening ; its contents are of the same nature as in the species just mentioned. The unimpregnated germinal vesi- cles which fill the cavity of the corpusculum remain at first unaltered, which is also in accordance with Pinus canadensis. A difference, however, exists in Pinus sylvestris, viz., that very often one or two of the germinal vesicles which lie in the micropylar end of the corpusculum and touch the end of the pollen-tube, have firm membranes composed of cellulose, a fact which has never been observed in Pinus canadensis. After the cell which is pressed into the lower end of the corpusculum has become changed by repeated divisions into the compound pro-embryo, the tip of the pollen-tube of Pinus sylvestris often appears to be open, and its contents to be discharged into the cavity of the corpusculum ; this is plainly the result of mechanical rupture. The cells of the endosperm which surround the funnel-shaped depression leading to the corpusculum expand considerably in width after impregnation, and compress the pollen-tube, frequently to such an extent as to obliterate the cavitv of the latter. Its contents thus undergo a strong pressure, which must ultimately lead to the rupture of the free end. In Pinus abies, L. [Abies excelsa, D. C), I observed phenomena similar to those in Pinus sylvestris. In some cases I saw the daughter-cell of the corpusculum — after the former had grown to a large size, and its contents had increased and become firmer — in immediate contact with the end of the pollen-tube (PI. LXI, fig. 1). In others I found a similar but very large cell half way towards the base of the corpusculum divided into four THE HIGHER CUYPTOGAMIA. 419 cells, forming two larger upper ones and two smaller termi- nal cells (PI. LX, figs. 2, 24.) The identity of this cellular body with the compound pro-embryo which is afterwards firmly inserted into the lower part of the corpusculum is beyond all doubt. In Pinus Abies the germinal vesicles, which remain in contact with the end of the pollen-tube, regularly become clothed with firm elastic cell-membranes. The pollen-tube of Pinus Larix usually swells out in a vesicular manner within the funnel-shaped depression of the endosperm above the corpusculum, and then sends forth a pointed prolongation, which pierces through the covering cells of the latter. The membrane of the tube is incomparably more tenacious than in the above-mentioned species. In the latter when the endosperm is detached from the nucleus the pollen-tube regularly tears off at the place where it emerges from the tissues of the nucleus, whilst in Pinus Larix the apex of the pollen-tube may often be drawn out from the corpusculum, so as to hang freely down for a considerable distance. The end of the pollen-tube even before it reaches the corpusculum exhibits an accumulation of protoplasm which is often sharply defined like a cell, and further upwards in its interior numerous starch-granules are seen partly com- bined in groups of twos or fours. Immediately after reach- ing the corpusculum the apex of the pollen-tube, when drawn out from the latter, appears rather thin-walled and without appendages. In cones somewhat more developed a cell is found fastened to the end of the pollen-tube when the latter is detached. The diameter of this cell seldom equals that of the end of the pollen-tube, and often re- mains considerably less. It resembles in all its parts one of the smaller germinal vesicles which float in the interior of the corpusculum. Like these vesicles it exhibits a nucleus of lighter substance, and is devoid of the firm cell- membrane.* No further change is at this time perceptible in the remaining portion of the corpusculum. * At the place where this cell is attached, the pollen-tube exhibits no trace of an opening, and there is nothing to show that the cell, which differs so remarkably from the pollen-tube by the absence of a firm membrane, has grown out of the latter. 420 HOFMEISTER, ON In corpuscula which are about two days more advanced a larger cell is seen near the end of the pollen-tube which now reaches down into the corpusculum ; this larger cell differs from the neighbouring unaltered germinal vesicles in its circumference — which is more than double that of the latter ■ — in its more transparent fluid contents, and in its firmer membrane. Its upper end not unfrequently protrudes above the spot at which the before-mentioned small cell is attached to the apex of the pollen-tube. The large free cell never exhibited any connexion with the small cell. In other corpuscula of the same cone a larger cell of the same kind occurs at the base of the corpusculum. Its circumference is more considerable, and its contents of the same kind, as in the above-described impregnated germinal vesicles of Pinus sylvestris. The more pointed lower end of the oval cell is filled by an oval daughter-cell with turbid contents and a firmer membrane. The larger upper part of the cell is devoid of a nucleus ; a thin protoplasmic layer covers the inner wall, and a similar flattened layer traverses the inner cavity longitudinally (PI. LXI, fig. 13). A short time afterwards the lowTer cell, which is rich in granular protoplasm, appears pressed into the base of the corpuscu- lum (PL LXI, fig. 14). It is now drawn out breadthwise; its upper wrall, which is turned towards the inner cavity of the corpusculum, is only slightly arched. Observation shows that it is the rudimentary cell of the compound pro- embryo. The upper unnucleated portion of the large cell becomes attached laterally to the arch of the corpusculum, but is soon dissolved. The free germinal vesicles in the upper part of the cor- pusculum continue in the mean time without any observable alteration (PL LXI, fig. 14). On the other hand, the cell attached to the tip of the pollen-tube becomes clothed with a firmer membrane of cellulose at the time when the large transparent cell appears near the tip of the pollen-tube ; sometimes also it increases in size so that its transverse diameter becomes three times that of the pollen-tube (PL LXI, figs. 12—14). The inner wall of the pollen- tube exhibits, exactly at the point where the cell is attached to it, a narrow pit traversing the thickening layers which THE HTGHER CRYPTOGAMIA. 421 in the mean time have been deposited upon its wall (PI. LXT, fig. 12). This pit always appeared to be closed on the out- side by the primary membrane of the pollen-tube ; no open communication between the pollen-tube and the cell could be ascertained. The nucleus of this cell has by this time disappeared ; its contents, which are tolerably transparent, are only rendered turbid to a certain extent by a few fine granules. Sometimes it contains some larger bodies, equal in size to the starch granules in the pollen-tube, and com- posed of a substance rendered brown by iodine. The relations of position between the cell and the pollen -tube are of two kinds : either the upper part of the cell is attached to the terminal point of the extended conical tip of the pollen-tube, and thus hangs down freely into the cavity of the corpusculum (PI. LXI, figs. 13, 14), or else the end of the pollen-tube is lifted up round the cell — so as to form an annular cushion — and grows round the larger part of the cell so as only to leave the hemispherical lower end protruding out of the introverted end of the pollen- tube (PL LXI, fig. 11). This process has been observed in its different stages. If a moderate pressure is applied to the upper end of a pollen-tube having the attached cell enclosed in the introversion of its apex (PI. LXI, fig. 1 1), the introverted membrane often becomes exserted, and the exserted portion then appears to be conical, and bears the cell in question at its outermost tip (PI. LXI, fig. 11), just as in the first case above described. The two forms of the end of the pollen -tube are equally common in longitudinal sections of corpuscula. In isolated instances two such cells are attached to the tip of the pollen-tube. From these observations on the Abietinese I think the following conclusions may be drawn as to the development of the embryo. After the arrival of the end of the pollen- tube at or into the upper end of the corpusculum, one of the germinal vesicles lying near the end of the pollen-tube is impregnated. It increases in size, and glides through the mass — consisting of protoplasm and unimpregnated germi- nal vesicles — which fills the corpusculum, clown to the base of the latter, into which it presses itself. At this time (in Finns canadensis) or, (in P. sylvestris and Lariat) even 422 HOEMEISTER, ON during its downward progress, a daughter-cell is formed in its lower end, by the repeated bipartition of which, the compound pro-embiyo originates. It always happens in Pinus Larix, and frequently in P. sylvestris, that one or more of the germinal vesicles which are in contact with the pollen-tube, but which remain unimpregnated, acquire firm membranes of cellulose, and attach themselves to the tube, but this phenomenon is not essentially connected with im- pregnation.* The swelling which the pollen -tube of Tawus baccata forms above the top of the endosperm often attains di- mensions equalling that of the latter. Where much pollen has fallen, several pollen-tubes almost always penetrate into the ovules. These tubes swell and press against one another, so that they not only fill the entire cavity above the en- dosperm, but pass beyond it, sending forth prolongations of different forms. Cases occur in which the swollen ends of numerous pollen-tubes grow round the endosperm on all sides, and meet underneath it, thus smothering it by cutting off the access of nutriment. Even before the cor- puscules are fully developed one, or more rarely two, large spherical cells are formed in each pollen-tube. These cells have no firm membranes, and are filled with a thickly- fluid finely- granular protoplasm which encloses a central nucleus. These cells at first float quite freely in the in- terior of the pollen-tube. They are often surrounded by a * Sclmclit ('Beitrage zur Anatomie,' &c, Berlin, 1854, p. 287, cDas Mikro- skop,' 2nd edit., Berlin, 1855, p. 151, ' Flora,' 1S55) arrived at a conclusion to some extent in accordance with the above, inasmuch as it assumed the descent of the rudiment of the pro-embryo from the upper end of the corpusculum to the lower. In the 'Flora' for 1855 I have attempted to show that Schacht's conclusions are incorrect. The objects which he took for the rudiments of the pro-embryo cannot in the nature of things be what he supposed. Geleznoff 's statements as to the formation of the embryo of Larix are more opposed to mine. He considers that the cell attached to the pollen-tube grows by degrees out of the apex of the latter, and he assumes that the two communi- cate by an open pore, and that the first cell of the pro-embryo originates in the lower end of this cell. In all these points my observations gave a negative result. I believe that I may place great reliance upon them, not only on account of my investigations having been carried on for three years, but because my numerous observations were repeated and verified during a sojourn in the Alps, where, from the opportunities which existed for collecting cones at places of different altitudes, the various stages could be followed out much more easily and with greater certainty than could be done in a flat country. THE HIGHER CRYPTOGAMIA. 423 thin layer of granular mucilage, from which fine strings radiate to the Avails of the tube. In more advanced ovules these cells appear to be situated nearer to the lower wall of the pollen-tube, and to be fastened to the latter by an accumulation of viscid protoplasm ; their earlier spherical form has passed into a flatly-ellipsoidal one. Instead of the central nucleus, which has now disappeared, two newly- formed nuclei make their appearance, one in each focus of the cell (PI. LXIII, fig. 11). The unimpregnated corpuscula usually contain only a few (from six to ten) free germinal vesicles, amongst which one in particular, which floats in the middle part of the corpusculum is distinguished by its size, by the sharpness of its outline, and by the richness of its granular contents (PL LXIII, fig. 11)* The prolongation of the pollen-tube which penetrates between the cells of the rosette of the corpusculum is fre- quently, but not always, filled by four cells placed cross- wise, manifestly produced by the twice-repeated division by means of longitudinal septa of the (originally) free spheri- cal cell which is now adherent to the inner wall of the tube (PI. XLIV, fig. 2). One of the germinal vesicles in the interior of the corpusculum, apparently the central one, now appears swrollen, as well as more rich in granular contents, and in many instances situated nearer to the base of the corpusculum (PL LXIV, fig. 2). The membrane of the pollen-tube when uninjured appears completely closed. The openings which are sometimes seen in it after its separation from the corpusculum are almost certainly acci- dental ruptures. The contents of the four cells which fill the pollen-tube, or of the one cell which is sometimes found there, consist of very small motionless bodies, partly spherical and partly spindle-shaped, which fill the cell in great numbers. The next condition of the impregnated corpuscula exhibits the impregnated germinal vesicle at the base of the latter, firmly pressed into the lower end of the * In the ' Vergl. Unters.,' p. 129, I took this formation to be the primary nucleus of the corpusculum. This I think was an error, because in the Abie- tinefe and Juniperiuese the nucleus of the corpusculum does not last until im- pregnation. 424 HOFMEISTER, ON corpusculura (PI. LXIV, fig. 1). The unimpregnated germinal vesieles remain still unchanged in the upper part of the corpusculum.* Sometimes one or two of the impregnated germinal vesicles which are in contact with the pollen-tube become clothed with firm cellulose mem- branes, and adhere to the apex of the tube. The side-walls of the upper end of the corpuscula of Thuja orientalis, Juniperus communis, and /. sabina are considerably thickened, and furnished with delicate an- nular ridges, which are often very clearly visible in the form of transverse stripes. At the beginning of July the contents of the corpuscula consist, as has been mentioned, of very finely granular almost glass-like transparent pro- toplasm in the middle of which a large vacuole occurs. Above this vacuole the primary spherical nucleus of the corpusculura lies embedded in the protoplasm. This nu- cleus afterwards disappears, and in its place some new free nuclei make their appearance, around which, in a short time, spherical cells are formed, which are the germinal vesicles. Whilst the latter continue to grow, the central vacuole becomes perpetually smaller and smaller : at last it disappears altogether, and the corpusculum is filled with a uniform mass of protoplasm having the germinal vesi- cles floating in it. Amongst the latter, one or more near the upper end of the corpusculum are distinguished by their great size (PL LXV, fig. 9 on the right). The pollen-tube breaks through the softened membrane of the embryo-sac — which membrane extends over the depression at the top of the endosperm — and becomes swollen so as to entirely fill the depression. In the regular course of things a large spherical cell now appears in the interior of the pollen-tube, filled with granular mucilage which surrounds a central transparent nucleus (PI. LXV, fig. 9). In certain conditions which must doubtless be looked upon as more advanced, this cell has the form of an ellipsoid, and is furnished with two nuclei, one in each focus ; other conditions again exhibit the cavity of the cell traversed by a septum passing between the two * A decisive proof that the pollen-tube does not, as Schacht supposes, en- tirely fill the corpusculum ('Flora,' 1S55). THE HIGHER CRYPTOGAMIA. 425 nuclei. Ultimately, and shortly before the pollen-tubes penetrate into the rosettes of the corpuscula, two spherical cells of the kind above mentioned (PI. LXV, fig. 9 on the left) are often found in the tube, which in all probability are produced by the division of the original single cell. The increasing pollen-tube now presses together the ro- settes of the corpuscula, and sends a short, very delicate- walled prolongation through the line of contact of the four cells which are in process of dissolution, into each corpus- culum which is to be impregnated (PI. LXV, figs. 3, 10). In some cases the free cells contained in the pollen-tube now appear to be much flattened, attached to the wall of the tube, and divided into a larger number, normally six- teen, of small cells lying in one plane (PI. LXV, fig. 4) ; in other cases the pollen -tube contains four middle-sized, or eight smaller, roundish cells, without any firm mem- brane (PI. LXIV, fig. 3), and which probably have arisen from repeated division of one of the large originally spheri- cal cells. The protruded portion of the pollen-tube breaks through the compact membrane of the upper end of the corpusculum, forming a fissure which is very visible in the apical aspect of the latter. Even after impregnation, the ends of the tubes if carefully extracted appear quite closed (PI. LXV, fig. 10). In an object so delicate as the membranes of these tubes, a small opening might easily be overlooked. The following observation, however, is de- cisive as to the non-existence of any such opening : the contents of the corpuscula, especially of those of Juni- jperus sabina and communis, when just impregnated, swell up after imbibing water, and rupture the wall of the cor- pusculum. If a longitudinal section of the endosperm of a germinal vesicle which has just been impregnated, is placed under the microscope, it will be seen that as the contents of the corpusculum swell, the delicate-walled pro- longation of the pollen-tube which reaches into the upper end of the corpusculum is intersected and ultimately ruptured, whereupon an active current begins to flow out of the corpusculum into the pollen-tube. Frequently, but not always, one of the round cells in the pollen-tube forces its way into the prolongation which is sent out by the membrane 426 HOFMEISTER, ON of the latter into the corpusculura which is to be impreg- nated. These cells, which now become very easily dis- integrated, contain numerous spindle-shaped motionless bodies, consisting of a substance coloured brown by iodine. These bodies are short in Thuja and elongated in Juniperus (PI. LXIV, fig. 3J).* The first change which is visible in the corpusculum after the entry of the pollen-tube, is an increase in the granular matter contained in the larger germinal vesicle. This cell gradually moves towards the lower end of the corpusculum, against which it ultimately presses itself (PL LXV, fig. 10). The larger germinal vesicles which lie in its way are dis- placed and dissolved ; the smaller ones remain unaffected. Since any successful longitudinal section through the endosperm of an impregnated germinal vesicle lays bare many different stages of development of neighbouring corpuscula, there cannot, in the great number of cases which are brought into comparison, be any doubt as to the order of their succession. Even in Juniperus, especially in Juniperus communis, the smaller impregnated germinal vesicles which are immediately attached to the end of the pollen -tube, very often possess firm membranes composed of cellulose. In all the Coniferge the impregnated germinal vesicle, which is pressed into the bottom part of the corpus- culum, divides by a transverse septum, so far that is as this division has not already taken place during its descent. The two daughter-cells — of which the upper is the larger one and the lower more rich in protoplasm — divide by lon- gitudinal septa : in some cases this division occurs only in the lower one (PL LX, fig. 11 ; PL LXI, figs. 3—7). Shortly afterwards the septum which divides the upper, more empty cell or cells, from the rest of the cavity of the corpusculum, is dissolved. The two longitudinal portions of the lower daughter-cell of the germinal vesicle form the first rudiment of the pro-embryo of the Coniferse. Its formation is always * It might easily be imagined that the cellules produced in the interior of the ends of the pollen-tube of Coniferae might produce spermatozoa. My obser- vations however have hitherto only yielded negative replies to the question, as will be seen by the account given above. THE HIGHER CRYPTOGAMIA. 427 the same, even in species which differ widely as to the period of development. In the Abietineae both the cells — whose form is that of the longitudinal moieties of a blunt cone, with a convex basal surface — either divide again immediately by longi- tudinal septa at right-angles to the one last formed (PL LX, figs. 11, 12 ; PI. LXI, fig. 3), or else a division first occurs in each of them by transverse septa perpendicular to the longitudinal axis of the corpusculum, by which the cells are divided into two very unequal portions, the upper one being much the largest. In the lower, smaller ones of the newly- formed cells, which contain much more concentrated mu- cilage than the upper ones, the division by longitudinal septa then ensues, which latter septa are perpendicular to the septum dividing the two cells (PI. LXI, fig. 6). The latter phenomenon is the most common. The pro-embryo now consists of two pairs of two-celled, parallel rows of cells, having their edges of contact rect- angular. The number of its cells is increased by repeated division of each of the (lower) terminal cells by means of septa at right-angles* to the longitudinal axis of the organ. It is a rule without exception that the lower of the newly- formed cells are the smallest, but the richest in formative matter. The pro-embryo up to this time occupies only a proportionably small space, rilling the lower part (a tenth to a fifth part) of the corpusculum. As the development of the pro-embryo has stretched the lower part of the cor- pusculum downwards whilst its upper part remained sta- tionary, the portion of the corpusculum which is filled by the pro-embryo bears a much larger proportion to the upper part, than the portion occupied by the germinal vesicle when first impregnated. The pro-embryo exhibits no upward growth. The lateral walls of its uppermost oldest cells are as intimately amalgamated with the inner wall of the corpusculum as the thickening layers of the same wall are with one another. * Speaking more accurately we might say, transverse septa radial to the inner wall of the corpusculum. They are often strongly inclined downwards from the longitudinal axis of the pro-embryo, and are thus convex upwards (pi. lx, fig. 13 ; pi. ixi, fig. 16) ; the position at right angles to the axis of the organ is first assumed by them after the subsequent longitudinal and transverse expansion of the latter. 428 HOFMEISTER, ON In the upper part of the corpusculum the numerous spherical sister-cells of the germinal vesicle are still dis- tinctly perceptible (PI. LX, fig. 13 ; PL LXII, fig. 5). From the fact of their presence* it is impossible that the opinions of Schleiden, Schacht, and Geleznow, as to the process of embryo-formation in the Coniferae can be correct. Accord- ing to the two former the pollen- tube penetrates into one of the corpuscula, fills it up by degrees entirely, and pro- duces the pro-embryo in its lower end, which is pressed against the inner surface of the corpusculum. If this were so, the pollen-tube must pierce through the mass of spheri- cal cells which fills the cavity of the corpusculum before impregnation. Nothing however is easier than to see that those cells are still present when the pro-embryo appears. They are only dissolved very gradually, and become changed, together with the rest of the contents of the upper part of the corpusculum, into a yellowish grumous mass. The increase in length of the pro-embryo ultimately rup- tures the base of the corpusculum. A considerable longi- tudinal expansion immediately takes place in the two pairs of cells of which it consists ; this expansion usually occurs in the second cell reckoned from above (PL LXI, fig. 7 ; PL LXII, fig. 8), but sometimes the first expands also. The lower end of the pro-embryo is thus driven deeply into the tissue of the endosperm underneath the corpuscula. The axile cells of the middle portion of the endosperm become in the mean time loosened and softened, by which the course of the continually-descending end of the pro-embryo is pointed out beforehand. The courses of the continually-elongating pro-embryos through the pultaceous mass of the softened cellular tissue, form delicately-winding spirals. Soon afterwards the longitudinal rows of cells comprising the pro-embryo become detached from one another. The separation commences at the lower end and progresses from thence upwards (PL LXI, figs. 9, 10). During this breaking up of the pro-embryo into four (very rarely more than four) simple rows of cells, the four shorter cells which formed its upper end which was enclosed by the corpus- culum, become dissolved (PL LXI, figs. 8 — 10). * Observed by Gottsche (' Bot. Zcit.,' 1844, 509), and by Pineau, ' Arm. d. Sc. Nat.,' 3rd ser., vol. ii. THE HIGHER CRYPTOGAMIA. 429 Shortly after the rows of cells of the pro-embryo have separated from one another, the formation of the embryo itself commences in the terminal cell of each row, either immediately, or after the occurrence of divisions by hori- zontal septa. This formation takes place by the repeated division of the apical cell for the time being by means of septa inclined in the first place alternately to the right and to the left, and soon afterwards in three different directions. The cells of the second degree divide into inner and outer cells by radial, and those of the third degree by longitudi- nal septa parallel to the axis, and so on, following the mode of cell-multiplication in the terminal bud of Equisetum and other plants (PI. LXI, fig. 11; PL LXII, figs. 9, 10). In the half-ripe seed the number of rudimentary embryos is at least four times as great as that of the corpuscula impreg- nated. Of these however, in the greater number of cases, one only is developed rapidly and vigorously ; the rest are much less fully developed, shrivel up by degrees, and ulti- mately die. During the formation of the embryo the younger lower cells of the pro-embryo — which latter has be- come the suspensor — also expand considerably in length, and at last the same expansion occurs in its massive portion im- mediately adjoining the embryo (PL LXI, fig. 10 ; PL LXII, fig. 10). The latter also then become disconnected from the laterally-adjoining cells (PL LXII, fig. 10), and often, especially near the lower end, bear a deceptive resemblance to a pro-embryo not yet broken up into its longitudinal rows of cells.* After the penetration of the pro-embryo into the middle region of the endorsperm, the walls of the corpusculum can easily be separated from the surrounding tissue. They exhibit now prominent reticulate ridges on the outer side, corresponding in direction with the edges of contact of the neighbouring cells, and they have also somewhat large flat pits. These phenomena are especially manifest in Pinus canadensis (PL LXII, fig. 8). In this species the upper portion of the four uppermost cells of the pro-embryo are normally much thickened, and then exhibit manifest lamination (PL LXII, fig. 7) ; sometimes strange-shaped * It is doubtless from this phenomenon that some observers, especially Geleznow, deny the breaking up of the pro-embryo into distinct suspensors. 430 HOFMEISTKR, ON accumulations of gelatinous matter are found on the outer walls of these cells (PI. LXII, fig. 8). I have never seen the pollen-tube ramify in the Abietineae. Each pollen-grain sends forth only one tube; if several corpuscula of the same ovule are to be impregnated, it is indispensable that several pollen-tubes should reach the nucleus. There is no ground for assuming an incapacity for impregnation in any of the different corpuscula of the same endosperm. The impregnation of all the corpuscula of one endosperm, when not exceeding three in number, happens not unfrequently m Pinus sylvestris and canadensis, each being acted upon by a special pollen-tube. In Taxus the impregnation of several corpuscula by the very widely expanded end of a single pollen -tube, is of very frequent occurrence ; and in Juniperus and Thuja it is the rule. The impregnated germinal vesicle of Taxus baccata and canadensis divides frequently by longitudinal septa before any increase takes place in the number of its cells in a longitudinal direction. The pro-embryo not unfrequently consists of only four longitudinal rows" of cells, but usually of six (PI. LXIII, fig. 12). In the longitudinal development of the pro-embryo its rows of cells behave very differently. In some, multiplica- tion and growth cease at a very early period ; it usually happens that the upper end of the pro-embryo exhibits some three-sided cells which renew themselves rapidly downwards, and belong to no one of the longitudinal rows underneath, of which the pro-embryo is composed. Very commonly two or one of the longitudinal rows of cells immediately adjoining the longitudinal axis of the pro- embryo are more vigorously developed and multiply their cells in a longitudinal direction more rapidly, than the cells nearer to the periphery (PI. LXIII, fig. 13). The pro-embryo does not break up into single rows of cells until a later period, and then usually only partially. Nor- mally one only of them goes beyond the first commence- ment of embryo-formation.* * ' Hartig zur Entwickelungsgesch. d. Pflanzen,' Leipzig, 1844, fig. 25, and Schacht (1. c. pi. ix, figs. 11, 13) represent the first stage of development of the pro-embryo as an oval mass of parencbymatal cellular tissue. I cannot confirm this ; the pro-embryo appeared to me, even in its earliest youth, to be always clearly composed of longitudinal rows of cells. THE HIGHER CRYFTOGAMIA. 431 The impregnated germinal vesicle — which is pressed into the lower end of the corpuscuhim— of Juniperus communis and sabina, as well as that of Thuja orietitalis, divides by a transverse septum into two daughter-cells (PI. LXV, fig. 10), of which the lower one frequently encloses the larger portion of the protoplasm of the mother-cell. The upper wall of the upper cell is usually soon dissolved (PL LXI, fig. 4) ; when it lasts longer (as is often the case) the same vigorous downward expansion which takes place after some time in all the cells of the pro-embryo, takes place also in the uppermost of the two cells of the rudi- mentary pro-embryo (PI. LXV, fig. 3).* The farther development of the daughter-cell of the impregnated germinal vesicle resembles, in its essential features, that of the Abietineae. It divides by longitudinal septa, and the elongated daughter-cells divide by transverse septa, which latter division is repeated in the terminal cells. The number of longitudinal divisions of the second cell of the pro-embryo is however far less definite than in the Abietineae. The most usual number of the rows of cells of the pro- embryo is four, but pro-embryos are also often found which consist of only two or— on account of the longitudinal di- vision of one of the latter — of three longitudinal rows of cells (PI. LXV, fig. 4). These rows of cells very soon become disconnected after the pro-embryo has broken through the base of the corpus- culum. Their longitudinal expansion is still more re- markable than in the Abietineae (PL LXV, fig. 5). If after the last transverse division (PL LXV, fig. 6) of the terminal cell of one of the detached rows of cells, the for- mation of the embryo commences by the production of differently inclined septa in the lower one of the newly- formed cells, then the lower end of the last cell of the pro- embryo, upon which the. embryo is seated, grows very * These enlarged upper portions of the impregnated germinal vesicle exhibit a very large nucleus with proportionally large nucleoli. The occurrence of the division of the germinal vesicle into an upper and a lower portion, of which the latter is destined for more active further development, the former remaining stationary, and sometimes containing a nucleus, sometimes not— brings to mind the similar phenomena in Gagea and Fritillaria (' Entstehung des Embryo,' pp. 20, 21). 432 HOFMEISTER, ON considerably in breadth (PL LXV, figs. 7, 8). In Juni- perus also all the numerous young embryos usually mis- carry, except one. The stages of development of the embryos of the Co- niferse which follow next after the impregnation of the germinal vesicle, are passed through with just as much rapidity as contemporaneity. A very short time, scarcely twenty-four hours, elapses between the arrival of the end of the pollen-tube at the upper end of the corpus- culum of the Abietinese, and the formation of the four- celled compound pro-embryo at its base; and these processes of development occur almost contemporaneously in all ovules of all trees of the same species growing under similar circumstances. Thus in J 854 I found that on the 22nd of June, near Leipzig, no single pollen- tube of Pinus sylvestris had reached a corpusculum ; whereas only three days later, on the 25th of June, there was only one amongst several hundreds of impregnated corpuscula which I examined, whose impregnated ger- minal vesicle was not already divided into four cells. In Taxus and the Juniperineae the contemporaneity of the development is less complete ; here we find different stages of development extending over about eight days, consist- ing of germinal vesicles unimpregnated, impregnated and unicellular, or impregnated and multicellular, all near one another. Robert Brown* was the discoverer of the poly-embryony of the Coniferse. In a later treatisef (1834) he pointed out the origin of the pro-embryo in large cells of the en- dosperm, to which he gave the name of corpuscula. Corda} first proved that the pollen-tubes penetrate into the in- terior of the corpuscula. Schleiden,§ in 1843, gave the first accurate account of the nature of the pro- embryo. As many subsequent observers have done, he mistook the * 'Ann. d. Sc.' 1st ser., vol. viii, p. 211. f 'Ann. d. Sc' 2nd ser., vol. xx, p. 193. % ' Nova Acta/ vol. xvii, p. 599. Upon other points this work is of no use. § ' Grundziige,' 1st edn., vol. ii, p. 375. R. Brown's account of the young pro-embryo is incomplete. He figures (1. c, vol. xx, pi. v, fig. 9) a pro-embryo whose smaller terminal growing cells arc torn off. THE HIGHER CRYPTOGAMIA. 433 pro-embryo for the embryo. Hartig* was the first to observe that the upper part of the suspensor is a single row of cells. He had not a clear idea of the relation of the suspensor to the pro-embryo. Mirbel and Spachf dis- covered the breaking up of the pro-embryos into single rows of cells in Pin as, Thuja, and Taxus. Gottsche'sj excellent work contains the most careful critique of the then known facts, and the first accurate description of the struc- ture of the corpuscula of Pinus ; it also gives a renewed and complete proof of the advance of the pollen-tube to the corpuscula, as well as proof of the fact that the rudiment of the pro-embryo is visible in the lower end of the cor- pusculum, whilst the sister-cells of the germinal vesicle are still present. The greater part of the above investigations were under- taken in the years 1848 and 1849.§ I have already mentioned their agreement with Pineau's views, and their divergence from those of Geleznow and Schacht. * ' Naturgeschichte der Forstcultur pflanzen,' Erklarung zur Tafel, XXV. f ' Ann. d. Sc. nat.,' ii Ser. vol. xx, p. 257. % 'Bot. Zeit./ 1845, 377. § Read at the August sitting of the Leipzig Natural History Society. 2S CHAPTER XVI. REVIEW. The comparison of the development of the mosses and liverworts on the one hand, with that of the ferns Equiseta- cese, Rhizocarpese, and Lycopodiaceae on the other, dis- closes the most complete uniformity between the fruit- formation on the one hand and the embryo-formation on the other. The structure of the archegoniuni of the mosses — the organ within which the fruit-rudiment is formed — is exactly similar to that of the archegonium of the vascular cryptogams, the latter being that part of the prothallium in the interior of which the embryo of the frond-bearing plant originates. In both the large groups of the higher cryptogams there is a cell which originates freely in the larger central cell of the archegonium, by the repeated division of which (free) cell, the fruit of the moss and the frond-bearing plant of the fern are produced. In both, the divisions of this cell are suppressed and the arche- gonium miscarries, unless, at the time of the opening of the top of the latter, spermatozoa find their way to it. Mosses and ferns therefore exhibit remarkable instances of a regular alternation of two generations very different in their organization. The first generation — that from the spore — is destined to produce the different sexual organs, by the co-operation of which the multiplication of the primary mother-cell of the second generation, which exists in the central cell of the female organ, is brought about. By this multiplication a cellular body is produced which in the mosses forms the rudiment of the fruit, and in the vascular cryptogams, the embryo. The object of the HOFMEISTER, ON THE HIGHER CRYPTOGAMIA. 435 second generation is to form numerous free reproductive cells — the spores — by the germination of which the first generation is reproduced. The leafy plant in the mosses answers therefore to the prothallium of the vascular cryptogams ; the fruit in the mosses answers to the fern in the common sense of the word, with its fronds and sporangia. The pro-embryo, that is to say the confer- void process produced by the germinating spore of most of the mosses and many of the liverworts, cannot be looked upon as a special generation any more than the similar organ (the suspensor) m phsenogams. It is to be remembered that when new individuals are produced from single cells of the leaf of a moss, and also during the development of the gemmse of many mosses, the formation of the rudiment of the first leafy axis is preceded by the formation of a similar confervoid pro-embryo. This holds good as well in the mosses * as in those liverworts which possess a pro-embryo. When new individuals are formed from the fragment of a leaf of Lophocolea heterophylla or of Badula complanata, the cell of the surface of the leaf which becomes the mother-cell of the new plant produces in the former of the above-named plants a single or double row of cells, and in the latter a cellular surface. In each case the body produced is exactly similar to the pro- embryo which originates from the germinating spore in both species. The vegetative life of the mosses is confined exclusively to the first, and the fructification to the second generation. The leafy stem alone sends forth roots : the spore-forming generation draws its nourishment from the first generation. The life of the fruit is usually much shorter than that of the leaf-bearing plant. In the vascular cryptogams this state of circumstances is reversed. It is true that the prothallia send out capillary roots : this is always the case in the Polypodiaceae and Equisetacese, and frequently in the Rhizocarpese and Selaginellae. But the prothallium lives a much shorter time than the leaf-bearing plant, which latter in most cases does not produce fruit for several years. * W. P. Schimper's excellent work, ' Recherches sur les mousses,' renders it unnecessary for me to cite examples. 43G HOIMEISTEH, ON The contrast however is not so marked as it appears at first sight. The apparently unlimited life of the leaf-bearing moss depends merely upon continual renovation. Pheno- mena of a similar kind are met with in the sprouting prothallia of Polypodiacese and Equisetaceae. In the lowest liverworts (Anthoceros and Pellia) the structure of the fertile shoots is less complicated, and their duration little longer, than that of the fruit. On the other hand the ramification of the prothalliuui of the Equisetaceae is very variable ; its life is not of shorter duration than that of an individual shoot. It is a circumstance worthy of notice that in the second or spore-forming generation of mosses and ferns, compli- cated thickenings of the cell-walls usually occur (witness the teeth of the peristome in mosses, the capsule-wall and the elaters in liverworts, and the vessels in ferns), whilst in the first generation these thickenings are rare and excep- tional. An unprejudiced consideration of the subject will show that the separation into two groups only of the plants com- prising the mosses on the one hand, and the liverworts (Jungermanniae, Marchantieae, Anthoceroteaa, and Riecieae) on the other, is not natural. There is no marked feature by which these two groups can be distinguished. It is true that a pro-embryo like that in the mosses is wanting in most of the genera of liverworts, especially in all the leafless ones. Many leafy Jungermamrieae, however, espe- cially the true Jungermanniae, exhibit the phenomenon of the conversion of the germinating spore into a single row of cells, one of which cells, by repeated divisions in all three directions of space, becomes the rudiment of the leafy axis. This phenomenon is as well marked as in any of the mosses. The outward form of the antheridia and arche- gonia in the two groups differs very slightly. The first stages of development of the fruit-rudiment of the mosses on the one hand and the Jungermanniae on the other, are, it is true, very different. In the former the longitudinal growth is caused by the continually repeated division of a single conical apical cell of the organ, by means of septa inclined alternately in two directions ; in the latter this THE HIGHER CRYPTOGAMIA. 437 growth is caused by the repeated division by horizontal septa, of four cells constituting the upper end of the fruit- rudiment. But the normal mode of cell-multiplication in the fruit-rudiment of the Marchantieae (including the Targionieae), and of the Riccieae, coincides exactly with that of the mosses. Lastly Anthoceros exhibits a form of cell-multiplication of the endogonium which is the same as that of the punctum vegetationis of the ends of the axes of a great number (probably the majority) of phaenogams. The septa produced in the one apical cell of the organ, are inclined in regular succession towards the four points of the compass. The presence or absence of a columella, or of elaters in the ripe fruit, are points of no characteristic value ; Anthoceros has the columella, but this genus and the Riccieae have no elaters. Radula in the Jungerman- nieae has a vao-irmla, and so has Anthoceros. Upon instituting a closer comparison between the mode of development of different forms, four types soon become conspicuous, around which all the phenomena hitherto sufficiently investigated may be conveniently arranged. We thus arrive at the following equivalent groups, which are not however equally rich in the number of genera and forms. 1. Mosses according to the ordinary limits of the family, including the Sphagnaceae. 2. Jungermannieae ; in which the leafy ones are con- nected with the leafless ones by a succession of inter- mediate stages. 3. Marchantieae, Targionieae and Riccieae; all intimately connected with one another by the similarity of the earliest conditions of the fruit, as well by many vegetative pheno- mena.* 4. Anthoceroteae. The mode in which the second generation originates from, the first is much more various in the vascular crypto- gams than in the others. All ferns however agree in the * As for instance the precisely similar succession of the shoots ; the separa- tion of the tissue of the shoots into an upper layer with intercellular caviiies, and a lower layer without cavities ; the occurrence of peculiar thickenings upon the inner wall of the capillary roots, &c. 438 HOFMEISTER, ON fact that the first axis of their embryo has only a very limited longitudinal development ; it is an axis of the second order which breaks through the prothallium and becomes the principal axis ; and they all agree further in this, that the end of the axis of the first order never forms the root. All vascular cryptogams are without main roots ; they have only adventitious ones. In more than one respect the formation of the embryo of the Coniferse is intermediate between the higher crypto- gams and the phsenogams. Like the primary mother-cell of the spores of the Rhizocarpeae and Selaginellae the embryo-sac is one of the axile cells of the shoot, which in the one case becomes 'converted into the sporangium, in the other into the ovule. In the Coniferse also the embryo- sac soon becomes free from any mechanical connexion with the surrounding cellular tissue. The filling of the embryo- sac by the endosperm may be compared with the produc- tion of the prothallium of the Rhizocarpeae and Selaginellae. The structure of the corpuscula bears the most striking resemblance to that of the archegonia of the Salviniae, and still more of the Selaginellae. Irrespective of the different mode of impregnation — which in the Rhizocarpeae and Selaginellae takes place by free spermatozoa, and in the Coniferee by a pollen-tube, in the interior of which sperma- tozoa are probably formed — the transformation of the germinal vesicle into the primary mother-cell of the new plant in the Coniferae and the vascular cryptogams, only differs in the fact, that in the latter there is usually one single germinal vesicle only, whilst in the former there are very numerous germinal vesicles, of which, normally, one only is impregnated. The embryo-sac of the Coniferae may be looked upon as a spore remaining enclosed in its sporangium ; the prothallium which it forms does not come to the light. In order to reach the archegonia Of this prothallium the impregnative matter must make itself, a passage through the tissue of the sporangium. Moreover, the development of the pollen of the Coniferae, when dispersed, varies in a marked manner from that of phaenogams, and exhibits vital phenomena similar to those met with in the microspores of Pilularia, Salvinia, and THE HIGHER CRYPTOGAM I A. 439 Isoetes. The extinction of its sexual function (the protru- sion of the pollen-tube) is preceded by a cell-formation in its interior, of which no instance is to be found amongst monocotyledons and dicotyledons. Two of the phenomena which have led me to compare the embryo-sac of the Coniferse with the large spores of the higher cryptogams, is common to the embryo-sac of phseno- gams, viz., the origin of the ovule from an axile cell, and the want of connexion with the adjoining cellular tissue. This is very remarkable in the Rhinanthaceae on account of the independent growrth of the embryo-sac. The Coniferse are closely allied to the phsenogams in the fact that their pollen-grains develope tubes. The phasnogams therefore form the upper terminal link of a series, the members of which are the Coniferse and Cycadeae, the vascular cryptogams, the Muscineae, and the Characeae. These members exhibit a continually more extensive and more independent vegetative existence in proportion to the gradually descending rank of the gene- ration preceding impregnation, which generation is deve- loped from reproductive cells cast off from the organism itself. The closing members of this series, the Characeae, pass through their entire vegetative development in this generation, whilst the vital phenomena of the generation which follows impregnation are limited to the filling with oil and starch of the newly formed cell in the central cell of the fruit-branch or archegonium. The development of the latter generation in the Muscinese is far more important, although in some instances, as for example in Riccia, it is very limited in comparison with the first generation, that namely which precedes impregnation.* This state of things is reversed in the Ferns, the Equiseta, and the Ophioglossese. From the Characeae up to these orders, there is an uncer- * Anthoceros— 'which in the development of the second generation stands very low in the scale — exhibits a remarkable analogy with the Characeae, in the fact that, as in the latter, the formation of its antheridia commences by the growing out of the cells of the wall of an intercellular cavity. The well-known red globules of Chara are manifestly states of antheridia. Cavities com- municating with one another are formed round the middle point of the hitherto solid globular mass of cells, within which cavities the antheridia — or cellular threads in whose joints the vesicles which produce the spermatozoa arc formed — become developed. 440 HOFME1STER, ON tainty in the different species as to the sexual function of the reproductive cells which are cast off from the organism itself, viz., the spores. In these orders species nearly allied to one another are partly mona?cious and partly dioecious. Certain species amongst theCharae,Muscineae, the Ferns, and the Equiseta,* produce both kinds of sexual organs, arche- gonia and antheridia, upon the same individual of the genera- tion preceding impregnation : the latter are always produced before the former. In other Characeae, Muscineae and Equiseta, the male and female sexual organs are distributed upon different individuals — a separation which is very com- plete in certain species of mosses, and not in others. The spores from which, in the Characese, Muscinae, and Equi- seta, diaecious prothallia are developed, exhibit no indica- tion of the sex of the individual to be produced from them. But there is often a marked difference in the complete form between the male and female individuals : the former are much smaller than the latter ; they are dwarfish. Extreme instances of this are to be found, amongst mosses, in Dicranum tin elided inn and Hi/pnum h/tescens. In the Equi- seta also the male prothallia are always smaller than the females. Lastly, the reproductive cells of the Ttldzocarpece, Isoetes, and Selaginella exhibit, according to their sex, the most remarkable differences in their mode of development, size, and form, so long as they continue in vital connexion with the organism belonging to the generation following impregnation. In the Coniferae the reproductive cells differ in their origin and formation but little from those of phae- nogams ; they differ only in the nature of the vegetative growth subsequent to their formation — which growth in the Coniferae is in a high degree independent — in the formation of the row of cells in the interior of the pollen- grain, as well as in the formation of the endosperm, and of the corpuscula in the interior of the embryo-sac. There are so many essential points of agreement between the Coniferae and the phaenogams, that it is more to the point to get rid of the marked differences in their respective * The greater number of the Charseand Muscineae, a few only of the Equi- seta, and all the known forms of Ferns and Ophioglossese. THE HIGHER CRYPTOGAMIA. 441 processes of embryo-formation, than to indicate in what they agree. One of these differences is the cell-formation inside the pollen-grain, but the principal one is the development of the endosperm and of the corpuscnla, a process exactly analogous to the formation of the prothallia and archegonia of the vascular cryptogams, and which is entirely wanting in the phaenogams. The whole series of developmental processes which occur in the Coniferae between the filling of the embryo-sac with the cellular tissue of the endosperm and the production of the germinal vesicles in the corpus- cnla, is entirely passed over in the phaenogams. Here the germinal vesicles are formed immediately in the embryo- sac. In the phaenogams there is no vital phenomenon analogous to the development of the prothallia and of the endosperm of gymnosperns, just as in the cryptogams and the Coniferae there is no analogue to the endosperm- formation which takes place in so many phaenogams after the arrival of the impregnating organ at the embryo-sac. The breaking up of the pro-embryo of the Coniferae into a number of independent suspensors is a phenomenon of the most peculiar kind, to which nothing amongst the vas- cular plants bears any resemblance,* and to which the division of the spore (i. e. the mother-cell of the oospores) of Fucus into several cells capable of impregnation and developmentt is hardly analogous, inasmuch as with the latter process the impregnation of the free spore commences and forthwith terminates. The observations contained in the following note are the result of investigations made subsequently to those detailed in Chapter III. These inquiries have led to the conclusion that Frullania — and probably also Lop hocolea bidentata and * The formation of the pro-embryo of Loranthus europaus out of four longitu- dinal rows of cells may be looked upon as a slight indication of this. One only of these cells, the terminal cell, becomes transformed into an embryonic globule. CHofmeister, in ' Abh. Kon. Sachs. Ges. d. Wiss./ vi, 543. ' f Thuret, « Ann. d. Sc. Nat.,' iv Ser., 1854, p. 273.) 142 IJOFMEIS'IER, ON THE HIGHER CRYPTOGAMIA. Ptilidium ciliare-- — must be excluded from the category of plants having a two-edged terminal cell of the stem. Note on the Cell-multiplication of the Apeos of the Stem in the Leafy Jungermannice. The end of the stem in vigorous shoots of Jungermannia hicuspidata exhibits, when viewed from above, a three- sided apical surface of the terminal cell, and an arrangement of the cells adjoining the latter, which leads to the con- clusion that the cells of the second degree are formed by the production of septa in the apical cell parallel to each one of the three plane lateral surfaces. The order of succession of the cells of the second degree represents a spiral. All those Jungermannia? which I examined which had inferior leaves, and consequently trilinear phyllotaxis, exhibited a similar state of circumstances — for instance, Alicularia scalaris, Calypogeia Trichomanes, Lepidozia reptans, Frullania dilatata, Madotheca platyphylla. The same was the case also with another Jungermannia — besides J. hicuspidata — with bilinear-leaves, viz. Plagiochila as- plenioides. In the latter — as in /. hicuspidata — a leaf originates out of .each cell of the two longitudinal rows of cells of the second degree which are turned upwards to- wards the creeping stem. Each of the cells of the longi- tudinal row of cells of the second degree which occupies the under surface of the stem, developes from its fore-edge a transverse row of two- or three-celled hairs with elongated clavate terminal cells, which hairs soon fall off. EXPLANATION OF THE FIGURES. PLATE I. ANTHOCEE.OS luEVIS. FIG. 1. Germ-plants seen from above, x 15.* 2. Shoot of a plant cultivated for some time in a room under a hand-glass, X 15. 3. Longitudinal section through an actively growing shoot, perpendicular to the surface. The contents are only shown in the cells of the fore-edge. The youngest cell of the second degree belongs to the upper side of the shoot. The fore-edge of the shoot is surrounded by a layer of mucilage, hardened on the outside, to which grains of dust and sand adhere. X 300. 4. A similar preparation. The section has passed through three archegonia in process of development. X 300. 5. A young shoot seen from above, X 300. 6. Fore-edge of a half-developed shoot in the epidermal cells of which the final division is going on, x 300. 7. A young shoot ; on the right and left of the middle shoot are the two rudimentary lateral shoots, seen from above, x 300. 8. Transverse section of a delicate young shoot, X 200. 9. Cells of the interior of a perfect shoot cut through longitudinally, and which, abnormally, contain two chlorophyll-granules, X 300. 10. Portion of a section perpendicular to the surface of a perfect shoot, treated with caustic potash, X 300. 11. Portion of the inner tissue of a longitudinal section of a perfect shoot. One of the cells — that one whose contents are figured — shows the com- mencement of the formation of a gemma. X 300. 12. A further developed gemma cut through parallel to the surface of the shoot in which it was formed, x 300. 13. A gemma which has sent out a capillary root whilst still within the decay- ing tissue of the mother-shoot, X 100. 14. Chlorophyll-bodies from one of the cells of the wall of a young fruit, X 400. * " x 15" means "magnified 15 diameters," and so on all through the figures. 444 EXPLANATION OF THE FIGURES. FIG. 14*. A similar body in the act of dividing, x 400. 15. A young archegonium with the adjoining tissue, cut through longitudinally, X 300. 16. An archegonium more fully developed, after the formation of the germinal vesicle in the basal cell, x 300. 17. Portion of a longitudinal section of a shoot perpendicular to the surface, bearing an archegonium just impregnated. A bud which has been cut through is seen in the tissue underneath, x 300. 18. Longitudinal section of an archegonium (with the adjoining cells) with a bicellular fruit-rudiment, x 300. 18*. The mouth of the latter seen from above, X 300. 19. A similar preparation with a multicellular fruit-rudiment, x 300. 20a. A 3-cellular fruit-rudiment, detached, x 300. 20*. The same preparation turned round 90°, X 300. 21". Longitudinal section of a further developed fruit-rudiment, x 300. 21*. The apex of a detached fruit-rudiment, similarly developed, seen from the outside, x 300. 21c. Optical section of the preparation in the same position, X 300. 21 d. Optical sectiou of the same after being turned 90° round its longitudinal axis. 22. Longitudinal section of a further developed fruit-rudiment, X 250. 23"'*. Optical longitudinal sections of the upper end of a more advanced fruit- rudiment. The position of 23* differs from that of 23" by a revolution of 90° round the longitudinal axis, x 250. 24. Transverse sections of a similar fruit-rudiment, x 80. 25. Apex of a slightly more developed fruit-rudiment, separated from the lower portion by a transverse section, and seen from above, x 150. PLATE II. 1. Longitudinal section of a young fruit-rudiment enclosed by the surround- ing tissue, x 150. 2. Longitudinal section of a further developed condition of the same parts. A large cavity filled with mucilage has been formed above the apex of the fruit-rudiment. Some of the cells of the wall have grown out into multicellular hairs, x 120. 3. Upper portion of the wait-like protuberance (above the upper surface of the stem) by which the young fruit is enclosed ; cut off so that the upper end of the fruit is visible. The cells of the jointed hairs which traverse the mucilaginous mass in the interior of the cavity above the fruit, have already become detached. X 100. 4. Longitudinal section of the upper end of a fruit at the moment of breaking out from the sheath. Only the mucilaginous mass and the dry cellular tissue covering it are shown in detail ; the fruit and the sheath are only in outline, x 200. 5. Longitudinal section of a half-developed fruit just after breaking forth from the tissue of the stem, x 100. EXPLANATION OF THE FIGURES. 445 FIG. 5*. The cast-off calyptra (consisting of the ruptured portion of the tissue of the stem, which covered the cavity, together with the mucilage which filled the latter), seen from below, x 100. 5". Some of the cells of the edge of this calyptra, x 300. PLATE III. 1. Columella and right-hand longitudinal moiety of the lower part of a young fruit, the place at which the separation of the grand-mother-cells from the surrounding tissue commences, X 250. 2. Transverse section (high up) of a young fruit, x 100. 3. Spore-mother-cells, just detached, x 250. 4. 5 and 5*. Spore-mother-cells during the formation of the two secondary nuclei, x 250. 6. A similar cell after the formation. 7 and 8. The same cells during the dissolution of these nuclei. 9. Spore-mother-cell after the formation of the four tertiary nuclei, x 250. 10. The same shortly before the commencement of division, showing the begin- ning of the swelling of the cell-membrane. 11. Spore-mother-cell (after the dissolution of the primary nucleus) in alcohol and water, which makes the cell-membrane swell, x 750. 12. Spore-mother-cell at the commencement of division, examined in alcohol, X 750. 13. A similar preparation after treatment with water, which makes the cell- membrane swell, x 750. 14. Spore-mother-cell in alcohol before the termination of the division. The course of the edges of the septa — which do not yet reach the middle point of the cell — upon the inner side of the cell-membrane is shown in the drawing, x 750. 15. An abnormal spore-mother-cell, x 250. 16. Longitudinal section, perpendicular to the surface, of the end of a shoot which bears a group of rudimentary antheridia, x 300. 17. Optical longitudinal section of two young antheridia, x 150. 18. Optical transverse section of one of these antheridia, x 150. 19. 20. Optical longitudinal section of more-developed antheridia, x 300. 21. Longitudinal section of an almost ripe antheridium, x 300. 22. Two mother-cells of spermatozoa, each containing a spermatozoon, x 500. PLATE IV. PELLIA EPIPHYLLA. 1. Longitudinal section of a ripe spore, x 300. 2. Sketch of a ripe spore in which the outlines of the cells only are shown, 446 EXPLANATION OF THE FIGURES. FIG. 3. A ripe spore beginning to germinate, three days after sowing, x 300. 5 — 9. Germinating spores more developed; six days after sowing, x 100. Fig. 6 is fig. 5 turned round 45°; fig. 7 is the same object turned round 90°; fig. 8 turned round 270°. 1 0. A germinating spore whose first capillary root is just breaking through the exosporium, x 300. 11 — 14. Sections of spores more advanced in germination ; figs. 11 and 14 seen from above, figs. 12 and 13 from the side. Figs. 11 — 13 are magnified 300, fig. 14, 150 times. Figs. 13 and 14 represent spores eleven days after sowing. 15. Fore-end of a somewhat more developed germ-plant, 36 days after sowing, seen from above, x 200. 16. Longitudinal section of a similar fore-end, x 200. 17. Fore-end of a germ-plant 42 days after sowing, x 200. 18. Germ-plant 49 days after sowing, x 30. 19 — 22. Half-developed spring shoots of fertile specimens, x 5. 23. Half-developed spring shoot seen from above, x 200. 24, 25. Longitudinal section, perpendicular to the surface, of half-developed shoots of fertile plants— fig. 24, x 200 ; fig. 25, x 400. 26, 27. Longitudinal section, perpendicular to the surface, of young shoots of barren plauts, x 200. 28. Transverse section of an older shoot of a barren specimen which bears four rudiments of adventitious shoots. Very delicate fungoid threads are seen upon the outer surfaces of the epidermal cells of the mother-shoot. X 200. 29. Longitudinal section of a rudimentary antheridium, x 300. 30. Longitudinal section of an unusually slim antheridium almost ripe. The contents of the cells, and the mother-cells of the spermatozoa, are not shown, x 200. 31">J. Mother-cell of spermatozoa from an unripe antheridium, x 600. 32"' *. The same after its escape from a ripe antheridium. The included spiral spermatozoon is already revolving, x 600. 333'*'c. Free spermatozoa, killed by iodine. In 33" and 33c the mother-cell is attached to the hinder end. x 600. PLATE V. r-ELLIA EPIPUYLLA. 1. Vertical longitudinal section of a shoot bearing the rudiments of archego- nia, x 30. 2. A similar shoot with more developed archegouia, x 30. 3. Longitudinal section of a very young archegonium, x 400. 4. Longitudinal section of the upper end of a somewhat more developed archegonium, x 300. EXPLANATION OF THE FIGURES. 447 FIG. 5. A young archegonium at the time of the dissolution of the transverse septa of the cells of the axile cellular string, X 300. 6. Longitudinal section of an archegonium fit for impregnation, X 200. C*. Transverse section of the neck of a similar archegonium, X 200. 7. Similar view of au archegonium ready for impregnation and of a very young- one similarly magnified, X 200. 8. Three-celled fruit-rudiment, detached, x 300. 9". Group of three archegonia impregnated artificially, with two young abortive archegonia, X 40. 9*. Young fruit-rudiment, longitudinal section. 10. Longitudinal section of a more developed fruit-rudiment, X 300. 11. Longitudinal section of a young fruit, showing the commencement of the separation of the tissue of the interior of the capsule (about the 20th August), x 150. 12. Primordial utricle of a cell of the interior of a capsule in the same state of development, set free by the dissolution of the swollen substance of the wall, x 200. 13. Longitudinal section of a further developed fruit, x 40. In part of the interior of the capsule the arrangement of the elaters and spore-mother- cells is visible (middle of September). 14. Spore-mother-cell with protrusions (one turned away from the observer) of the wall ; on the 8th of September, x 500. 15. The same, in which the cell-contents are not shown, x 500. 15^. The same, turned round 90°, x 200. 16. Mother-cell with four protrusions (one turned away) answering to the special-mother-cells. Beginning of December, x 400. 17. A set of four spores just formed (one is turned away from the observer) which are held together by the remnants of the mother-cell. Middle of December. X 400. 18. A young spore still attached to the remnants of the mother-cell. In the place of the primary central nucleus (which in the spores shown in Fig. 17, has already become dissolved) two new ones have been formed. X 400. 19. The same division has taken place in the two halves of the spore which is still attached to the remains of the mother-cell, x 400. 20. Remnants of the mother-cell from which the spores have escaped, x 400. 21. A septum is formed between the two nuclei dividing the spore into two halves, x 300. 22. One of the two newly formed cells has divided again by a transverse septum, x 300. 23. Outlines of the cells of a five-celled spore, x 400. On the 20th Decem- ber. 24. A free spore similar to that in Fig. 7, X 400. 25. A young spore, one half of which has become divided irregularly by an oblique septum, x 300. The originals of Figs. IS, 19, 20, 22 and 24, were taken from the same cap- sule as the original of Fig. 17. 448 EXPLANATION OF THE FIGURES. PLATE VI. Figs. 1 — 10. Aneura mullifida. FIG. 1. A delicate branch seen from above, x 10. 2. Fore-end of a growing shoot, seen from above, x 400. 3. Longitudinal section of a similar shoot. (The section has not touched the cell of the first degree.) x 300. 4. Longitudinal section of inflorescence, with a fruit-rudiment lately formed, and enclosed by a calyptra already much enlarged, X 50. 5. Very young fruit-rudiment, detached, x 300. 6. Longitudinal section of a more advanced fruit-rudiment, x 150. 7. Longitudinal section of the upper part of the fruit-rudiment at the com- mencement of the formation of the capsule, x 400. 8. Fruit-rudiment somewhat more advanced, enclosed by the large calyptra which is cut through longitudinally. On the left near the calyptra are two abortive archegonia. x 50. 9. Longitudinal section perpendicular to the surface through the gemmiferous portion of a shoot. In one of the epidermal cells a bud is in process of formation. A two-celled bud lies loose in another epidermal cell which has been torn, x 300. 10. Two gemmae, one seen from the side, the other (which is about to send out a capillary shoot) seen from the front. Figs. 11 — 15. Aneura ping 'ids. 11. Fore-end of a growing flat shoot seen from above, x 400. 12. Longitudinal section perpendicular to the surface of a thicker shoot. It bears the rudiment of an antheridium. x 300. 13. A similar longitudinal section not exactly through the middle of the shoot, X 300. 14. A young antheridium seen from the outside, x 300. 15. Rudiment of an archegonium seen from above, the microscope being focussed somewhat below the apex of the organ, X 300. Figs. 16 — 24. Blasia pusilla. 16. Barren gemmiferous shoot seen from below, X 25. 17. Growing fore-end of a shoot seen from above, X 200. 18. End of a delicate shoot after the removal of the under leaves, seen from below, X 400. 19. Section perpendicular to the surface through the fore-end of a growing shoot, X 200. 20. Similar section of a shoot where the latter has a bud-receptacle in process of formation, x 200. 21. Longitudinal section of a further developed bud-receptacle, X 60. 22. Portion of a longitudinal section of a less developed bud-receptacle, upon the inner wall of which rudimentary gemmae, in different stages of development, are seated, x 200. EXPLANATION OF THE FIGURES. 449 FIG. 224. A portion of the uppermost bud of the former figure, x 600. The dotted lines show the course of the two nuclei during the molecular motion which they exhibited. 23. Two spore-mother- cells held together by the common membrane of the mother-cell, after the formation of the tertiary nuclei, X 300. 24. A similar mother-cell somewhat more developed, X 300. Figs. 25 — 376. Fossomlrotiia pitsilla. 25. Two-celled rudiment of a leaf, X 300. 26. A young leaf with eleven cells, x 300. 27. 28. Tips of somewhat more developed leaves, x 300. 29, 30. Sections of young archegonia, fig. 29, x 100 ; fig. 30, x 400. 31. Section of au archegonium in whose central cell the germinal vesicle is being formed, x 300. 32. Section of an archegonium in whose central cell the germinal vesicle is completely formed, and the primary nucleus almost dissolved, X 300. 33. Longitudinal section of an archegonium, with its central cell almost filled by the germinal vesicle, X 300. 34. Spore-mother-cell, after the formation of the four tertiary nuclei, X 300. 35. Mother-cell from the same capsule, after long soaking in water. The inner layer of the cell-membrane is much swollen, and has squeezed the con- fluent cell-contents into a globular lump, x 300. 36. Young elater from the same capsule after soaking in water for a short time. The middle layer of the cell-membrane is thuch swollen, and has ruptured the outermost one. x 300. 37. Longitudinal section of a ripe autheridium whose apex has burst by the separation of the cells and the tearing of the cuticle, x 150. 37*. Ruptured mother-cellule of a spermatozoon, which is escaping out of the fissure, x 600. PLATE VII. Figs. 1 — 3. Haplomitrium Hookeri. . Longitudinal section of the apex of a leafless subterranean shoot, x 300. 2. Similar section of a similar shoot farther from the apex, X 300. 3. Similar section of a detached young fruit rudiment, x 300. 4. Trichocolea tomentella. — Longitudinal section of a terminal bud, X 200. 5. Madotheca platyphylla.— Longitudinal section of an autheridium, x 200. 6. Ripe mother-cell of a spermatozoon from the same. Figs. 7—9. Ptilidlum Ciliare. 7. Half of a young leaf, x 150. 8. A young leaf slightly more developed, detached from the stem and ex- panded, x 200. 9. Lateral view of a terminal bud, which has developed a lateral branch close underneath the apex. 29 i 450 EXPLANATION OF THE FIGURES. Figs. 10 — 11. Alicularia scalaris. FIG. 10. End of the stem being a half-ripe fruit, in a longitudinal section which has grazed the capsule and laid bare the outer surface of the fruit-stalk and of the swelling at its lower end, x 30. 11. Longitudinal section of a germ-plant, x 300. 11*. A young leaf detached from the stem spread out, X 100. 12. Jungermannia hicuspidata. — An archegonium just impregnated, and an un- impregnated one ; both laid open by a longitudinal section passing through the perianthium, which already extends far above the archegonium, and has the apices of its edges inclined towards one another. In the inner cavity of the perianthium several moving spermatozoa were found ; the arrow shows the direction of their motion, x 400. Figs. 13 — 20. Jungermannia divaricata. 13. Longitudinal section of a rudimentary archegonium, X 600. 14. Longitudinal section of a perianthium containing only two young arche- gonia, x 600. 15. Archegonium ready for impregnation (or just impregnated ?), cut through longitudinally so that the knife passed through the central cell, x 600. 16. The germinal vesicle detached from the central cell of a similar archegonium. The cell-membrane has been injured by the dissecting needle; the nucleus escaped out of the fissure, and lies near it, x 500. 17. Longitudinal section of a*- impregnated archegonium which has grazed the two-celled fruit-rudiment. At the apex of the archegonium, between the globular lumps of glassy transparent mucilage, thread-like bodies, like spermatozoa are seen, x 600. 18. A young, and 19, a somewhat older fruit-rudiment, the former seen from the outside, the latter in longitudinal section, x 400. 20. Longitudinal section of a more developed fruit, x 250. PLATE VIII. Figs. 1 — 20. Jungermannia bicuspidata. 1. A very young perianth laid open by a longitudinal section, with three arche- gonia still closed at the apex, x 300. 2. Longitudinal section of an archegonium ready for impregnation, x 300. 3. Similar section of a somewhat more developed perianth. In the middle is an archegonium just impregnated ; near the latter are two unimpregnated ones, with ruptured apex ; on the outside are two still undeveloped. 4. Four-celled fruit-rudiment detached, x 300. 5. Young fruit-rudiment. 5*. The same turned round 90°. 5C. A similar fruit-rudiment detached. X 300. 6. Longitudinal section of the lower part of a perianth enclosing two fruit- rudiments, x 250. EXPLANATION OE THE FIGURES. 451 PIG. 7. Longitudinal section of a half-ripe fruit, with the calyptra, two abortive archegonia, and the lower part of the perianth, x 200. 8 and 9. Young leaves which have not yet formed the rudiments of the two tips, x 500. "10. A further-developed leaf, X 500. 11. Tip of a half-developed leaf, x 300. 12. Section of the tip of a leafless subterranean shoot ; 12*, section of the same shoot after being turned round 90°. x 300. PLATE IX. Figs. 1.— 12. Jungermannia bicuspidata. 1. Ripe spore, x 300. 2 — 10. Different stages of germination. 2, 3 one week. 4, 5 three weeks. 6, 7 four weeks after sowing. 8 — 10, germ-plants a year old. 2 — 6, X 300 ; 7, X 200 ; 8, 9, 10, x 100 ; 10* is the upper end of fig. 10 ; turned rouud 90° and x 400. 11. Fore-end of a germ-plant at the stage of development shown in fig. 8, seen from the outside. The boundaries of the cell of the first degree, and of the first cell of the second degree, as they appear in an optical section, are shown by dotted lines, as is done also in the following figures. X 400. 11*. The same. The apex of the stem turned round 90°. IP. The same, turned round 270°. IP*. The apex of the stem of a more-developed germ-plant, in a position inter- mediate between that of*figures 11 and 11*, seen from the outside, X 400. 12. An abnormal pro-embryo, in which the rudiment of the first leaf-bearing axis does not proceed from one of the apical cells of the pro-embryo, but springs from a poiut lower down (five months after sowing), X 200. 12*. Rudiment of the leafy axis, turned round 90°. Figs. 13 — 16. Lophocolea bidentata. 13. Longitudinal section of a terminal bud, X 600. 14. A very young, 15 a somewhat older leaf seen from above, X 600. 16 A more developed leaf, the two halves of which have developed unequally, X 300. Figs. 17 — 30. Lophocolea heterophjlla. 17 — 25. Germination of the spores; (17, a spore just detached, 18 a spore twenty-four hours afterwards), x 200 except fig. 23, which is X 600. 26. Production of the first leafy axis out of the pro-embryo, X 250. 27. More advanced germ-plant, whose hinder end is already dead, X 200. 28 Lower portion of a germ-plant which has already formed some perfect leaves, X 100. 452 EXPLANATION OF THE FIGURES. TIG. 29. Portion of the stem of a young plant, lateral view of the outer surface. The inner edges of contact of the cells are shown by dotted lines, x 150. 30. Longitudinal section of the upper end of a young archegonium, X 200. Figs. 31, 32. Jungermannia intermedia. 31. Longitudinal section of a half-ripe antheridium, X 300. 32. Similar section of a young fruit-rudiment of the same plant, X 300. Figs. 33, 34. Jungermannia trichophylla. 33. Longitudinal section of a young fruit, x 200. 34. A set of special-mother-cells out of the same fruit, x 600. PLATE X. CALYPOGEIA TEJCilOMANES. 1 and 6. Longitudinal sections of young fruit-branches, X 200. 2, 4, 5. Detached fruit-rudiments seen from the outside, figs. 2 and 4, X 300, fig. 5, X 150. 3, 7. Longitudinal sections of similar fruit-rudiments, x 300. 8. Longitudinal section of the lower part of a young fruit-sac, x 200. PLATE XL Figs. 1 — 7 and 15 — 26. Badula complanata. 1. Lateral view of an inflorescence ; the antheridia and archegonia are repre- sented in section ; the cell contents are not shown. 2. A very young, 3 a half- ripe antheridium, both in longitudinal sectiou, X 500. 4. Longitudinal section of a more developed fruit-rudiment, together with the lower part of the surrounding calyptra, x 200. 5. Longitudinal section of a young fruit-rudiment, x 500. 6. Longitudinal section of a somewhat dwarfish fruit-rudiment at the com- mencement of the differentiation of the capsule-wall and contents, x 300. 7. Lower end of the stalk of a half-ripe fruit, X 200. 15. Two lobes of a somewhat developed leaf spread out, X 200. 16. Ripe spore, X 200. 17 — 24. Different states of the development of the flat pro-embryo, 20, 21, and 22 are lateral views, x 200. 25". The terminal bud of the first leafy axis, x 300. 256, 26. The first leafy axis proceeding from the pro-embryo, x 300. EXPLANATION OF THE FIGURES. 453 Eigs. 8 — 14, 27 — 42. Frullania dilatata. FIG. 8", *, c. Three successive stages of development of superior leaves. In, fig. 8C the under lobe of the leaf is shown as a single row of cells. 8" and 86 are x 300, 8C is X 150. 0. Leaf bud seen from above, X 200. 10. Leaf bud seen from the upper side, X 200. 11. A young inferior leaf, x 300. 12. Two lobes of a youug superior leaf spread out, X 200. 13. 14. Upper lobes of older superior leaves, x 200. 27. Ripe spore just set free, X 300. 28, 29. Spores at the beginning of germination, having become bicellular, X 300. 30 — 36. Outlines of the cells of germinating spores ; in figs. 30 — 33 the outer spore-membrane is shown ; 36* is the germ-plant shown in fig. 36 turned round 90°. 37, 38. Germ-plants more developed seen from the outside. 39. A very young, 40 a more developed, 41 a half-ripe, 42 a ripe ruptured antheridium ; near the latter are some escaped mother-cells of sperma- tozoa, from some of which the spermatoza have already escaped, x 400. PLATE XII. FRULLANIA DILATATA. 1. Two young archegonia surrounded by the rudiment of the perianth, x 400. 2. Longitudinal section of a perianth seen from the outside, X 400. 3. Longitudinal section of an inflorescence containing two half developed and one impregnated archegonium, X 400. 4. Longitudinal section of the lower part of an impregnated archegonium, with a seven-celled fruit-rudiment, X 400. 5. Longitudinal section of a more developed fruit-rudiment, with the arche- gonium becoming transformed into the calyptra, x 400. 6. 7. Young fruit-rudiments, detached. 6 and 64, 7 and 7b, are the same pre- parations, 6 and 7 being the figures obtained by adjusting the microscope to the longitudinal axis, and 64 and 7 b by adjusting it to the outer sur- face, X 400. 8. Longitudinal section of a more developed fruit, at the time of the differ- entiation of the capsule-wall and contents, x 300. 9. Longitudinal section of a half-ripe fruit, x 300. 10. Spore-mother-cell with four protrusions (one turned away from the ob- server) of the membrane, taken from a similarly developed capsule, x 300. 454 EXPLANATION OF THE FIGURES. PLATE XIII. KICCIA GLAXJCA. FIG. 1. Germ-plant (from a shady habitat) to which the spore is still attached, x 200. 2. Developed germ-plants from the same locality, x 20. 3. Perfect shoot seen from below, x 8. 4. A young shoot in the bud seen from above, X 30. 4*. Fragment of a capillary root of the median line of a perfect shoot. The inner wall is furnished with prominent points, x 200. 5. Three-celled rudiment of antheridium not yet grown over by an annular wall, X 200. 6. Rudiment of an antheridium and part of a longitudinal section of a very young shoot. The yet undivided mother-cell of the organ is already grown over by an annular wall, x 300. 7°. Longitudinal section through the fissure of the fore-edge of a perfect shoot. The upper part of the figure is the lateral surface — through ■u hicli the section has passed — of the deep indentation of the fore-edge ; the shaded part is the cavity of the lower portion of the latter, in which the median shoot is developed, x 30. 7*. Longitudinal section of the median shoot bearing two rudiments of anthe- ridia, one is unicellular and the other is a few-celled oval body sur- rounded by a wall closing over the apex of the organ, x 400. 8. Longitudinal section of a half-developed antheridium, x 300. 9. Similar section of an almost ripe antheridium, x 200. 10. Mouth of the- sheath of a ripe antheridium, seen from the outside, X 300. 11. Longitudinal section of a youug shoot bearing the rudiment of an arche- gonium, x 400. 12. Section of a more developed rudiment of an archegonium, x 400. 13. Section of an archegonium whose longitudinal growth is terminating, X 300. 14. Longitudinal section of a shoot bearing an archegonium ready for impreg- nation, x 300. 15. An abortive archegonium whose mouth has been laid open by a longitu- dinal section through the shoot, x 300. 16. Section of an impregnated archegonium with a fruit-rudiment still unicel- lular. 16*. Lower part of a section of an archegonium lately impregnated with a three- celled fruit-rudiment, X 200. 17. 18. Longitudinal sections of an archegonium with more fully developed fruit-rudiments, X 300. 19. Longitudinal section of a young capsule enclosed by the calyptra, x 200. EXPLANATION OF THE FIGURES. 455 PLATE XIV. KIELLA REUTERI. — Mont. FIG. 1 and 2. Germ-plants with spore attached, x 150. 3. A plant produced by the multiplication of a cell of a leaf separated mecha- nically from an older individual, x 130. 4. Adventitious shoot of an older plant, X 150. 5. Full-grown shoots (cultivated, more slender than in the natural state) ; the older part of the plant is dead, X 5. 6. Another similar shoot, x 20. 7". The end of the shoot a of the latter, x 200. 8. Terminal bud of a strong shoot after the removal of the older leaves, X 200. The leaves and the upper layer of cells of the massive portion of the stem — which latter, as far as the drawing extends, consists of only two layers of cells — are shown in dark lines above the outlines of the membranous wing and the second cellular layer of the stem. 9. Longitudinal section of a terminal bud perpendicular to the surface of the stem, x 200. 10. Terminal bud after the removal of all leaves. Two antheridia are being formed, the one sunk half down, the other deep down into the duplica- tions of the margin of the wing, x 150. 10. Young unicellular antheridium with adjoining tissue, laid bare by a sec- tion parallel to the surface of the wing of the stem, x 150. 12. Longitudinal section of a half-ripe antheridium, x 150. 13. Section through a portion of a fertile shoot which has laid bare an arche- gonium recently impregnated, and has grazed a lateral axis bearing antheridia, X 100. 14a. Unimpregnated archegonium with its apex still closed, X 250. 14*. Archegonium ready for impregnation, X 250. 15. Longitudinal section of a recently impregnated archegonium, x 250. 16. Young calyptra just visible through its veil, X 25. 17. Longitudinal section of a calyptra with sporangium (a younger state than Fig. 16), x 200. 18. Longitudinal section of the same when half ripe, the section not having passed through the mouth, x 100. 19°. Mother-cell with four spores enclosed in special-mother-cells, x 250. 19*. Rudimentary elater from the same sporangium, x 250. PLATE XV. Figs. 1 — 18. Marchantia polymorpha. 1. Longitudinal section perpendicular to the surface of a shoot bearing a very young bud-receptacle, x 50. 1*. The bud-receptacle of the last figure cut through, x 200. 2. Young bud, x 400. 456 EXPLANATION OF THE FIGURES. FIG. 3, 4. Longitudinal moieties of more developed buds, seen from the surface, X 300. 5. Half of the fore-edge of a more advanced bulbil, X 300. 7. Bud, whose upper part is beginning to widen, seen from the surface, X 50. 8. The cells of an indentation of a lateral margin of the latter bud, x 300. 9. Bud which has rooted and is beginning to sprout, x 15. 10. Longitudinal section through a shoot bearing the rudiment of a fruit (be- ginning of April), X 50. 11. Head of young fruit from below (end of May), X 100. 12. More advanced fruit in longitudinal section, X 100. 13. 14. Longitudinal section of impregnated archegonia, x 300. 15. Impregnated archegonium, enclosing a four-celled fruit-rudiment, and which together with its special covering has been laid open by a longi- tudinal section grazing the fruit-rudiment. 16. Margin of a growing disk of antheridia (end of November) in longitudinal section, X 300. 17. Transverse section of the stem of a developed antheridial disk, x 100. Figs. 18 — 20. Lunularia vulgaris. 18. Longitudinal section perpendicular to the surface, of a very young shoot, X 300. 19. Similar section of the end of a young shoot bearing the rudiment of a bud- receptacle. 20. End of a shoot, x 5. Pigs. 21 — 28. Targionia hypophylla. 21. Longitudinal section, perpendicular to the surface, through a shoot whose fore-end bears archegonia, enclosed by the rudiment of the veil, X 100. 22. Similar section of a recently impregnated archegonium, x 300. 23. Longitudinal section of an archegonium enclosing a multi-cellular fruit- rudiment, x 300. 24. Young fruit-rudiment detached, 24* is the same turned 90° round its longi- tudinal axis, x 300. 25. Longitudinal section of a more developed fruit-rudiment detached, x 500. 26. Similar section of a more developed fruit-rudiment, X 300. 27. Spore-mother-cell still exhibiting its primary nucleus, x 400. 28. Spore-mother-cell in which the four secondary nuclei have been produced, and having projecting ridges upon the inner surface of the cell-mem- brane, x 400. 29. Young elater from the same fruit as that which produced the mother-cell shown in fig. 27, X 400. 30. Young elater from the fruit which produced the spore-mother-coll shown in fig. 28, X 400. EXPLANATION OF THE FIGURES, 457 PLATE XVI. Figs. 1 — 13. Fegatella conica. FIG. 1. Section parallel to the surface of a shoot formed in autumn and destined for development in the following spring, X 30. 2. One of the side shoots of this shoot, X 300. 3. Longitudinal section perpendicular to the surface of a similar young shoot, X 300. 4. Stomata, in process of development, X 300. 5. Rudiment of a fruit-head (beginning of February), in longitudinal section, X 300. 6. Young fruit-head from below, x 100. 7. Fruit-head at that stage of development when the archegonia are ready for impregnation, X 50. 8. Young fruit-rudiment with the calyptra enclosing it, and the adjoining por- tions of the fruit-head, in longitudinal section, X 200. 9. Five-celled fruit rudiment, detached, X 400. 10. More developed fruit rudiment in longitudinal section, X 300. 11, 12. 11 a very young, 12 a somewhat more developed leaf, x 300. 13. Outline of a half- developed leaf, x 30. Figs. 14 — 20. Rehoidllia hemispherica. 14. Longitudinal section perpendicular to the surface through the very young rudiment of a shoot. X 300. 15. Outer aspect of the same preparation, after it has been laid upon the sec- tional surface passing through the longitudinal axis of the shoot. The rudiments of two leaves are seen. X 300. 16. A young leaf, x 300. 17. Longitudinal section perpendicular to the surface of a fertile shoot. On the right is a fruit-head ; the section has passed through two unimpreg- nated archegonia and four scales. Stomate-formation is just com- mencing in the covering cells of the air-cavities of the fruit-head. Further back is a cushion of antheridia, cut through. The outlines of the cells only are drawn, and the contents of the antheridia omitted. X 300. IS. An impregnated archegonium in longitudinal section. The mother-cell of the fruit-rudiment is still undivided. X 300. 19. Longitudinal section of an impregnated archegonium, enclosing a more de- veloped fruit-rudiment. One only of the rows of cells of which the young fruit-rudiment consists is seen ; the position of the nuclei of the second is shown by a dotted circle. X 300. 20. One of the sheathing prolongations of the fruit-head which enclose the fruit, seen from below. The curved neck of the impregnated arche- gonium is also seen, x 30. 458 EXPLANATION OF THE FIGURES. PLATE XVII. Figs. 1 — 8. Sphagnum cymbifolium. FIG. 1. Longitudinal section of the terminal bud of the median shoot of a full- grown plant. The section has passed underneath the fifth leaf of the left side of a lateral shoot. X 150. 2. Longitudinal section of a young innovation, x 600. 3. Terminal bud of a median shoot, detached and seen from the outside, x 600. 4. Terminal bud of a median shoot with left-handed \ phyllotaxis, seen from above, X 500. 5. Terminal bud of a median shoot, detached by two transverse sections, of which one passed close down the apical point of the transverse cell, the other through the stem close underneath the third-youngest leaf. All the older leaves are cut through transversely. The leaves from a to /3 " have a right-handed £ arrangement ; from thence upwards the arrangement is | and left-handed^, x 500. 5J. Diagram. 6. Young lateral bud, seen from the outside, x 500. 7. Longitudinal section of a part of an innovation, taken at the point where the growth in thickness of the stem ends, X 500. 8. Longitudinal section of one of the longitudinal moieties of a somewhat lower part of the same innovation, X 200. 9. Sphagnum acutifolium. — Fragment of a longitudinal section of the circum- ference of the stem of the principal shoot from the lower boundary of the region where lateral shoots are crowded together. The cells of the interior of the stem have pitted walls. X "200. 9*. One of these pitted cells, x 600. PLATE XVIII. 1. A young leaf of Sphagnum acutifolium, seen from the surface, X 400. 2. Fragment of a somewhat more developed leaf of the same species, in whose cells the third division is beginning, X 400. 3. Fragment of a leaf of Sphagnum cymbifolium in which the cells with, and those without chlorophyll are entirely differentiated. Several of the former have divided by transverse septa, X 400. 4. Fragment of a leaf of Sphagnum acutifolium in whose cells, which are devoid of chlorophyll, the formation of annular and spiral vessels has commenced. Several of the latter cells have divided by longitudinal or transverse septa. X 400. Pigs. 5 — 13. Sphagnum acutifolium. 5. Pro-embryo which has not yet developed any leafy shoots, X 10. 6. A very young pro-embryo, X 200. EXPLANATION OF THE FIGURES. 459 PIG. 7. An unusually small pro-embryo ; on the left, near the lower angle, the bud of a leafy shoot is seen. A new pro-embryo has originated at one of the rows of cells springing from the marginal cells. X 100. 8. Basal fragment of a highly developed pro-embryo to which the spore is still attached. The smaller longitudinal moiety of the leafy bud, which is seated very near the cell, has been removed by the section. X 200. 9. Lobe of a pro -embryo, without any processes from the marginal cells, with a bud attached, x 100. 11, ]2. 11 a very young, 12 a half ripe autheridium, in longitudinal section, X 300. 13. Ripe spermatozoa, killed by iodine, x 800. Figs. 14 — 17. Sphagnum cymbifolium. 14, 15. 14 a very young archegonium, 15 archegonium near the period of opening; in longitudinal section, X 250. 16, 17. Longitudinal sections of the ends of stems in which the rudimentary cells of a lateral branch have been exposed by the section (see the left side of both figures ; in fig. 16 underneath the uppermost, in fig. 17 under- neath the second uppermost leaf). X 150. 18. Schistostega osmundacca.— Portion of a pro-embryo, X 300. PLATE XIX. Pigs. 1 — 16. Funaria hygrometrica. 1—4. Sections of antheridia in different stages of development, x 300. 5 — 8. Mouths of unimpregnated archegonia. 6 and 7 the central cell, X 300. Figures 5 and 6 are young states, figures 7 and 8 more de- veloped conditions. 9. Young fruit-rudiment in longitudinal section, X 300. 10. The upper end of the same, X 300. 11. Upper part of a growing calyptra, with the upper half of the enclosed fruit- rudiment : in longitudinal section. The fruit-rudiment which has not been cut through is shown in an optical longitudinal section. X 300. 11*. The fruit-rudiment out of the same calyptra, detached, turned round 90°, and in longitudinal section, X 300. 13. Spore-mother-cell after the formation of the two secondary nuclei, X 400. 14. The same; after the formation of the four tertiary neuclei, X 400. 15. The same; after the divisions of its internal cavity into four special mother- cells, X 400. 16. The same ; after considerable thickening of the walls of the special-mother- cells and the formation of the spore-membrane, x 400. 17. Longitudinal section of the upper half of the mouth of a recently impreg- nated archegonium of Dicrannm Jieteromalhcm. Underneath is the primary cell of the fruit-rudiment detached from the central cell of the arche- gonium by contact with the dissecting needle. X 300. 18. Bryum cocspiticium. — Rudiment of a lateral bud, detached and seen ob- liquely from above, x 300. 460 EXPLANATION OF THE FIGURES. FIG. 19. Racomitrium ericoides. — Fragment of a lateral branch of a pro-embryo with the attached germ-plant, x 300. 20, 21. Fissidens bryoides. — Longitudinal sections of archegonia, fig. 20 ready for impregnation, fig. 21 just impregnated, x 300. 22. Young fruit-rudiment of Bryum argenteum detached, x 300. 22*. The same turned round 90°, X 300. 23. Longitudinal section of the vaginula, and of a fragment of the seta, and the adjoining parts of the shoot of the same species, x 25. PLATE XX. PHASCUM CUSPIDATUM. 1. Longitudinal section of a rudiment of an archegonium, x 400. 2. Similar section of a young archegonium, x 400. 3. Upper end of the same, x 600. 4. Longitudinal section of an archegonium, whose apical cell has ceased to multiply, X 250. 5. Longitudinal section of an archegonium shortly before the rupture of the apex, x 500. G. Archegonium whose apex has lately burst, in longitudinal section. The still globular daughter-cell within the central cell only fills a small por- tion of the latter, x 250. 7. Accidental transverse section of the place of junction of the neck, and the ventral portions of an archegonium, x 250. 8. Central cell of the ventral portion of an archegonium which has been cut longitudinally, in the state of development shown in fig. 6, x 500. 9. Archegonium just impregnated, X 400. 10. Longitudinal sections of the lower part of the neck, and of the upper part of the ventral portion, of an archegonium, with a two-celled fruit- rudiment uninjured by the section, X 300. 11. Similar section of an archegonium with a four-celled fruit-rudiment, X 200. 11*. A fruit-rudiment, detached, X 400. llc. Perspective view of the course of the cell walls of the same. 12". A four-celled fruit-rudiment, detached, X 400. 12*. The same turned round 90°. 13. Longitudinal sections of an impregnated and abortive archegonium. X 300. 14. Similar section of a detached fruit-rudiment, x 200. 15. Similar section of a fruit-rudiment with the growing calyptra and vaginula, X 75. 15*. Outside of the apex of the same fruit-rudiment, x 400. 16. Portion of the contents of an almost ripe antheridium. Each of the poly- gonal cellules of the interior of the organ encloses the mother-cell of a spermatozoon, x 600. EXPLANATION OF THE FIGURES. 461 PLATE XXI. FIG. 1. Longitudinal section of a fruit-rudiment, X 200. 2°. Section of the apex of a less advanced fruit-rudiment, X 250. 2*. The same turned round 90°, X 250. 3. A younger fruit-rudiment whose lower part is very highly developed, seen from the outside, x 30. 3*. Upper part of the same in longitudinal section, x '250. 4. Longitudinal section of calyptra ; the outer side of the spindle-shaped fruit- rudiment is seen, x 60. 5. Longitudinal section of a young fruit, x 200. 6. A portion of the layer of mother-cells and of the adjoining tissue of a fruit at a similar stage of development. The primordial utricles of the mother-cells are contracted by having lain in water for a quarter of an hour. X 500. 7. Section at right angles to the longitudinal axis of a fruit, passing through a larger portion of the layer of mother-cells, X 150. 8. A spore-mother-cell out of whose bursting membrane the globular distended primordial utricle is emerging, X 300. 9. Primary mother-cell from the transverse section of a young capsule. The cell-contents are beginning to become contracted and constricted, indicat- ing the commencement of the formation of the spore-mother-cells. X 250. PLATE XXII. 1. Spore-mother-cell whose primordial utricle only partly fills the cavity and is lying against the wall, x 500. 2. Two primary mother-cells of the second degree, formed by the division of of a primary mother-cell of the first degree by means of a septum parallel to the longitudinal axis of the fruit. Each exhibits only one of the longish ellipsoidal spore-mother-cells enclosed within. One of the latter cells is beginning to divide. The section is at right angles to the longitudinal axis of the fruit. X 300. 3. Primary mother-cells, each with two free globular spore-mother-cells, in which division is about to commence. Direction of the section as in the last figure, x 300. 4. Longitudinal section through some primary mother-cells of a somewhat more developed fruit, X 200. 5. Young spore from the same, X 500. Eigs. 6 — 21. Gymnostomum pgriforme. 0. Longitudinal section through the upper end of a fruit-rudiment whose apical cell has ceased to multiply in the direction of its length, and whose expansion in breadth underneath the apex is just beginning. The top of the specimen was destroyed by the section ; the representa- tion of the boundaries of the cells at that part is shown hypothetically by dotted lines, x 400. 462 EXPLANATION OF THE FIGURES. FIG. 7. Longitudinal section of a very young fruit, whose apophysis is far larger than the capsule, x 60. 8. A portion of the layer of mother-cells and of the adjoining tissue of a simi- lar fruit cut through longitudinally, X 300. 9. A similar preparation from a somewhat more developed theca. The con- tents of the primary mother-cells of the spores and of the adjoining cells of the columella are also shown. The primordial utricles of the latter have contracted by lying in water, x 300. 10. A similar preparation from a more advanced capsule, x 300. Here the nuclei of the cells immediately adjoining the layer of spore-mother- cells, i. e., of the so-called inner capsule-wall, and the arrangement of the chlorophyll of the outermost cells of the same are shown. The chlorophyll in these cells lies closely attached to the free outer wall. 11. Similar preparation from a capsule in which the formation of the spore- mother- cells within the primary mother-cells is just about to take place, x 300. 12. 12*. Spore-mother-cells with the enveloping primary mother-cells, x 300. 13—21. Stages of development of the spore-mother-cell, X 600. 13. Young spore-mother-cell with central nucleus and homogeneous granular mucilaginous fluid contents. 14. The nucleus is pushed near to the wall ; the protoplasm is accumulated chiefly in the middle point of the cell. 15. This accumulation has divided into two halves. 16. A secondary nucleus appears in each of them. 17. 18. Four tertiary nuclei are seen in the place of the two secondary nuclei. 19. The primary nucleus of the mother-cell has disappeared. 20, 21. Spores fully formed. PLATE XXIII. Figs. 1 — 11. Archidium phascoides. 1. Archegonium ready for impregnation, X 250. 2. Archegonium just impregnated, X 400. 3. Fruit with two archegonia which have been some time impregnated, in longitudinal section, x 200. 4. A young calvptra just ruptured by the swelling fruit, opened laterally, x 300. 5. Young fruit cut through longitudinally and detached, x 200. 6. The same somewhat more developed. The primary mother-cell of the spores has fallen out, x 200. 7. The same, with the full number of cells. In the interior is a primary mother-cell enclosing four mother-cells. The contents of the latter are omitted in the drawing, x 300. 8. Primary mother-cell, with four mother-cells. The contents of the special mother-cells have contracted. 9. Mother-cell with four lately formed spores, x 300. EXPLANATION OF THE FIGURES. 463 FIG. 10. Mother-cell with four spores. The membrane of the foriner is beginning to dissolve, x 300. 11. Longitudinal section of ripe fruit, X 100. Figs. 12 — 15. Fissidens taxifolius. 12. Young leaf seen from the surface, X 300. 13 — 15. Cells of a somewhat more developed leaf of the same species, show- ing different stages of development of the chlorophyll-granules, X 400. PLATE XXIV. 1. Germinating spore of Platy cerium alcicorne. The inner spore membrane has emerged from the ruptured exosporium in the form of a row of three chlorophyll-bearing cells. The lowest of these cells has already developed a capillary root. X 400. 2. Young prothallium of Gymnogramma calomela nos, X 25. 3. Young prothallium of Asplenium septentrionale, X 50. 4. A shoot spontaneously detached from an old luxuriant prothallium of Gymnogramma calomelanos. It has developed a number of antheridia, X 150. 5. End of the shoot of an old prothatlium of the same species, x 2. Eigs. 6 — 12, Pteris serrulata. 6. Eore-edge of a developed prothallium, x 150. 7. Longitudinal section perpendicular to the surface, of a fully developed prothallium. The small papillae below are antheridia,' the longer ones archegonia. X 75. 8. Longitudinal section of a young antheridium, X 400. 9. Apical aspect of the same. The course of the septa of the central cell is shown by dotted lines. X 400. 10. Same view of a more developed antheridium, whose central cell is already divided into sixteen cells, x 400. 11. Side view of an almost ripe antheridium, X 300. 12. Same view of an empty antheridium, X 400. 13,14,15. Spermatozoa of Asplenium septentrionale, killed with iodine. 13 is X 1200, 14 and 15 are X 300. 13 and 14 are lateral views, and 15 is seen from above. The mother-cell is still attached to the spermatozoon in fig. 14. Figs. 16 — 19. Ceratopteris thalictrokles. 16. Young prothallium with attached spore, and an antheridium, x 150. 17 — 19. Lateral views of young antheridia, X 300. 464 EXPLANATION OF THE FIGURES. PLATE XXV. FIG. 1. Aspidium filix-mas. — Longitudinal section of a young archcgonium in process of formation, X 200. 2. Gymnogramma calomelanos. — Similar section of a slightly more developed antheridium, x 400. 3. Pleris serrulata. — Archegonium soon after the formation of the germinal vesicle, x 400. 4. An archegonium of the same fern without the axile cellular row of the neck, at the same stage of development, x 400. 5. Aspidium filix-mas. — Longitudinal section of a similarly developed arche- gonium, x 200. 6. Gymnogramma calomelanos. — Transverse section of the neck of an arche- gonium at the same stage of development, X 200. 7. Further developed archegonium of the same fern shortly before the burst- ing of the apex, in longitudinal section, x 400. 8. Pleris serrulata. — A similarly developed archegonium, X 400. 9. Central cell of an archegonium of the same fern, it has been grazed by a longitudinal section, and the germinal vesicle thereby injured, so that it exhibits folds of the membrane, x 500. 10. Central cell of an archegonium of the same fern seen from above. Tiie microscope bas been focussed to the upper surface of the cell of one of the first archegonia of a young prothallium, whose parenchymatal cushion was still thin, and permitted the passage of much light, x 400. 11. Pleris serrulata. — Portion of a longitudinal section of a prothallium with two archegonia ; one with the apex just burst, the other nearly ready to burst, x 400. PLATE XXVI. 1. Gymnogramma calomelanos. — End of a shoot of a prothallium, x 5. 2. Gymnogramma clirysophylla. — Abnormal archegonium, from a longitudinal section of an old luxuriant prothallium, x 200. 3. Gymnogramma calomelanos. — Portion of a longitudinal section of an old luxuriant prothallium, which has a knob-like excrescence, x 50. 3*. Cortical layer and some of the cells of the inner tissue — filled with a mass of mucilage and oil— of the above knob, X 300. Figs. 4 — 20. Aspidium filix-mas. 4. Archegonium at the moment of impregnation. In the central cell of the archegonium — which has been grazed by two longitudinal sections — are three spermatoza still in motion. The inner mouth of the canal of the neck has already become closed again by the expansion of the surround- ing cells, x 300. 5. Longitudinal section of an archegonium shortly after impregnation. The enlarged impregnated germinal vesicle does not yet quite fill the central cell, x 300. J f EXPLANATION OF THE FIGURES. 465 PIG. 6. Longitudinal section of the fragment of a prothallium, showing an impreg- nated archegonium with a multi-cellular embryo which has been grazed by the section. C4. The net of cells of this embryo ; the boundaries of the cells are drawn of different thicknesses, according to their age. 7, 7*. More advanced states of 6 and 66. 8. The end of the first frond of a more developed embryo, seen from the surface, X 300. 9, 10, 11. Transverse sections through the stipes of a frond of a one-year-old seedling — 9, at the base; 10, somewhat higher up; 11, still higher. X 20. 12. 16, 17. Transverse sections through the stem of a one-year-old seedling. 12, at the base ; 16, iu the middle ; 17, near the top. x 30. 13. Germ-plants after the development of the frond, in longitudinal section. Between the first and second root of the primary axis of the embryo. X 20. 14. The top of the stem of a seedling of ten months old, seen from above. On the left is the rudiment of the youngest and on the right that of the next oldest frond. The roundish cells, with granular contents, are either mother-cells, or cells of attachment, of scales. X 200. 15. A ten-months old seedling, in longitudinal section. The protuberance below on the left is the primary axis of the embryo, x 20. IS. Basal outline of a young frond of a seedling, and of the scales surrounding it, X 30. 19. Upper part of the stem of a full-grown plant cut through longitudinally. The cellular tissue — up to the vascular bundles — of the divided frond is removed, to show the course of the bundles. Natural size. 20. A mesh of the net of vascular bundles of a similar stem, with the stumps of the vascular bundles passing from it to the fronds. X 5. PLATE XXVII. 1, 2. Apical views of the ends of the stem of full-grown plants. Fig. 1 with a right-handed, fig. 2 with a left-handed, cell-succession. X 200. 3, 4. Longitudinal sections of terminal buds of full-grown plants. Fig. 3 X 200, fig. 4 x 170. In fig. 4, w represents the rudiment of a frond divided by the section. 5. A frond still rolled up, the scales having been removed, seen from the back, showing the rudiment of an adventitious bud. Natural size. 6. Lower part of a stipes, whose lamina is already dead ; with an adventitious bud in process of development. Natural size. 7. The same object, laid bare up to the vascular bundles of the cortical tissue. Natural size. 8. Longitudinal section of the tip of a root, x 200. 9. Transverse section of the same, passing through the punctum vegetationis at the height a b of the previous figure, X 300. 10. The middle region of a similar section, somewhat lower down, at the posi- tion c d of the root in fig. 8, X 300. 30 4GG EXPLANATION OF THE FIGURES. PLATE XXVIII. Figs. 1 — 6. Pteris aquilina. ■FIG- 1. Archegonium, with the adjoining cells of the prothallium, in longitudinal section. The embryo consists of four cells lying in the plane of the sec- tion. X 300. 2. Longitudinal section of the fore part of the cushion of a prothallium, which, besides the impregnated archegonium laid bare by the section, and whose central cell is not quite filled by the rudimentary embryo, bore a second impregnated archegonium with a far more developed embryo. Above the cushion of cellular tissue there is seen a portion of the mem- branous wing of the prothallium, which has been cut by the section, x 150. 3. An unimpregnated archegonium, and one which has been some time im- pregnated, in a longitudinal section of one and the same prothallium. X 300. 3*. The cellular net of the embryo of the latter figure. The lines which answer to the boundaries of the cells of the older generation are much thickened. The group of cells ac is the rudiment of the principal bud, and of the first frond ; the group a d is the rudiment of the root. 4. A similar preparation from a more developed prothallium. The cells of the first degree of the root are here very visible. X 300. 5. Longitudinal section through the cushion of cellular tissue of a prothallium. The section has passed through an archegonium with a far more deve- loped embryo. X 300. Tigs. 7 — 8. Pteris serrulata. 7. Optical transverse section of the central cell of an archegonium just im- pregnated. The germinal vesicle contains two nuclei. X 300. S. Longitudinal section of a prothallium, with an embryo in the^state of development of that of Pteris aquilina, as shown in fig. 5. X 35. PLATE XXIX. PTERIS AQUILINA. Longitudinal section of a young plant which has recently broken through the archegonium. A portion of the prothallium to which it is attached is figured. X 150. Imaginary outline of a more developed germ-plant — B the primary axis, a the first, r> the second frond ; between the two the position of the apical cell is indicated ; c the first, E the second, r the third adventi- tious root. The fore-edge of the first frond of a germ-plant in the same state of deve- lopment, seen from the fore-surface, x 100. EXPLANATION OF THE FIGURES. 467 FIG. 4. Longitudinal section of the end of the bud of the principal axis of the same, X 400. 5. A further developed germ-plant shown in a longitudinal section through the median lines of the first two fronds. The first and fourth adventi- tious roots have been cut by the section. 6. A more developed germ-plant shown in a longitudinal section at right angles to the former one, the section passing through the second and third adventitious root- 7. Transverse section of the older portion of the axis of a seedling of a month old, X 30. 8. 9. Transverse section of the same nearer the apex. 9*. The same at another neighbouring point of the same axis, x 5. 10, 11. Seedling of a year old. Natural size. 12, 13. Transverse section of the stem of the same, taken near the apex, x 5. 14. Transverse section of the third frond of a germ-plant, X 10. 15. The end of a vigorous shoot in November. Natural size. Adjoining the end of the stem is seen the frond destined for development in the follow- ing spring. More to the left is seen the lower part of the frond of the current year, whose lamina has already opened. 1G. Forking stem-end, seen in a section through the longitudinal ridges. The sheath of vascular bundles of the middle of the stem is laid bare by the section. Twice the natural size. PLATE XXX. PTEEIS AQU1L1NA. 1} ", *, *• A similar shoot in the spring, peeled as far as the cortical vascular bundle, in order to show its course. Seen from the left, from the right, and from above. Natural size. 1. d X 200. 16J. A fragment of the latter wall, seen from the outside. The boundaries of the larger cells of the second inner layer are just visible through the small ones of the upper surface, x 300. 17. Fragment of the membrane (the inner and the outer) of a ripe large spore, cut through longitudinally, X 500. 1 18. Mother-cells of small spores. The lower one still exhibits the primary central nucleus ; in the upper one to the right it is already dissolved ; in the upper one to the left are four daughter-nuclei, X 300. 19. A similar mother-cell which has just divided into four special-mother-cells, X 300. - 20. A set of four mother-cells arranged tetrahedrically, in each of which a spore is just forming, x 300. 20*. A similar specimen. The special-mother-cells are placed decussately. 21. First rudiment of a leaf (part of an especially successful longitudinal sec- tion of a leaf-bud), X 600. 22, 23. The stages of leal'-deveiopment following next after fig. 21, in longitu- dinal section, x 600. 24, 25. Fore-ends of young leaves seen from the surface, X 300. 484 EXPLANATION OE THE FIGURES. FIG. 26. Longitudinal section of the apex of a very young stipule, x 400. 27. Same section of a half-developed stipule, X 200. 28. Outline of a slightly more developed stipule, seen from the surface, x 100. 29. Longitudinal section of the growing apex of a young fruit-brancli, X 350. Figs. 30, 31. Selaginella spinulosa. 30. Rudiment of a fruit in longitudinal section, x 30. 30*. Young macrospore. 31. Young macrospore. PLATE LVI. Figs. 1 — 9, 11 and 12. Selaginella Galeottii ; 10. Selaginella Martensi. 1. End of a shoot bearing only leaves ; seen in longitudinal section of the wide side (obtained by adjusting the microscope to the longitudinal axis), x 400. 1*. The same, seen from outside. lc. The same, seen from outside the narrow side. 2. Oblique view from above of the end of a shoot, x 400. 3. Longitudinal section of terminal bud parallel to the wide side, x 400. 4. Apex of the same seen from above, x 400. 5. Middle of the fore-edge of a young superior leaf, x 300. 6. Tip of a somewhat more developed inferior leaf, x 600. 7. Fragment of the lateral margin of a perfect inferior leaf, X 300. 8. Fragment of the same, nearer to the mid-rib. 9. A very young stipule seen from the surface, x 500. 10. Adventitious shoot of S. Martemi, produced by a fragment of a stem bitten off by wood-lice, x 10. 11. Half of a longitudinal section of a very vigorous shoot of S. Galeottii, passing through the median lines of two opposite rows of superior and inferior leaves (the former are to the right in the figure), x 200. 12. Portion of a similar specimen, x 200. PLATE LVII. Figs. 1 — 12. Selaginella Martemi. 1 Mother-cell of large spores, with some of its abortive sister-cells, X 300. 2. A similar mother-cell. 3. Mother-cell of large spores, in which, near the large vanishing primary nucleus, four daughter-nuclei are formed (three only of the latter are visible), x 300. EXPLANATION OF THE FIGURES. 485 FIG. 4. Mother-cell, whose primary nucleus is no longer visible ; the four newly- formed nuclei lie in one plane, X 300. 4*. The same specimen treated with watery tincture of iodine. The action of the tincture has separated the four nuclei to some extent from one another. 5. Mother-cell which has already divided into four special-mother-cells, x 300. 6. View from above of a half-ripe spore, X 400. 7. Set of four special-mother-cells, each of which contains a similar half-ripe spore, x 50. 76. A similar special-mother-cell, together with its enclosed spore, isolated by gentle pressure with the covering glass, x 400. 8. A young large spore with abnormally developed exosporium, X 400. 9. Mother-cell of small spores, divided into four special-mother-cells, iu each of which a spore has originated, x 300. 10. Set of four special-mother-cells, x 400. 11. Set of two vigorous special-mother-cells, and one abortive one, x 400. 12. Cell with abnormally thick walls from a young capsule, x 300. .Figs, 13 — 17. Selaginella helvetica. 13. Small spore, five months after sowing. In the internal cavity a large number of small globular cells has been formed, x 400. 14. A similar spore subjected to gentle pressure. Some of the above cells have escaped. 15. A similar spore two weeks later, lightly pressed. Each of the escaped cellules now exhibits a very delicate spiral spermatozon. 16. Large spore shortly after sowing ; in longitudinal section, X 200. 17. Prothallium seen from above, six weeks after sowing, x 300. Figs. 18 — 23. Selaglnella Martensi. 18. Inner membrane of a large spore just taken from the capsule, removed out of the exosporium, and viewed perpendicularly to the surface of the rudiment of the prothallium which is attached to its inner side, X 400. 19. Prothallium six months after sowing, in longitudinal section, X 200. 19*. One of the archegonia of this specimen. 20. Young germ-plant isolated, and cut through longitudinally, x 200. 20*. The spore, from the interior of which this germ-plant was taken. The distended prothallium enclosing the somewhat developed embryo, pro- jects far out of the fissures of the apex of the spore-membrane, X 15. 21. An unfolded germ-plant, drawn out of the spore, x 3. 2 P. The prothallium in which it originated, taken out from the exosporium, x 3. 22. Germ-plant whose first leaves have been removed (the stipules of the latter are remaining), together with the prothallium freed from the outer spore- membrane, x 30. 23. A germinating spore, in whose prothallium (which projects from the outer spore-membrane) two germ-plants have originated, x 5. 48G EXPLANATION Ob' THE FIGURKS. PLATE LVIIT. SELAG1NELLA DENTICULATA. FIG. 1. Longitudinal section of an unimpregnated prothallium, eleven months after sowing. Several archegonia have been exposed by the section ; in one of them the spherical cell produced in the central cell is represented, X 250. Is. Mouth of an archegonium, seen from above, X 350. 1°. Aperture of an archegonium, where the cells are extended upwards in a papillate manner ; seen obliquely from above, X 150. 2. Archegonium whose upper cells are still in close connection. The free spherical cell is not yet formed in the basal cell, X 600. 3. An archegonium just impregnated, laid open by a very successful longitu- dinal section. The mother-cell of the embryo is divided by a transverse septum. Unfortunately the specimen was spoilt before the drawing was finished. A portion of the cellular tissue of the prothallium has been drawn from recollection. Ineffectual attempts have been made to obtain another similar specimen, X 000. 4. An impregnated archegonium ; in a longitudinal section, which has exposed the archegonium in which the rudiment of the embryo lias originated, and also the course of the proembryo which has formed the suspensor. X 200. 5. A similar preparation in which the apex of the second axis of the embryo — which is destined to develope leaves — is turned towards the observer, X 150. 6. A young embryo detached, with a uni-cellular suspensor (a rare case), looking upon the wide side of the second axis, X 500. 7. 8. Similar preparations seen from the narrow side, X 500. 9. Prom the wide side ; 10. from the narrow side of the second axis, x 500. 11. Outlines of a prothallium, in which the embryo lies concealed, which latter has already begun to form its cotyledons, X 30. 12. Longitudinal section of a spore whose embryo has lately broken through the prothallium ; its leaves are beginning to turn green. The section has carried away the larger part of one cotyledon, its stipule, and several leaves of the two rudimentary axes of the third degree of the embryo, X 30. PLATE LIX. 1—5. Mother-cells of the pollen of Pinus balsamea, X 300 ; fig. 1, at the end of March; figs. 2—5, in the first half of April. 6. Pollen-mother- cell of Pinus Larix, divided into six special-mother-cells ; beginning of March, x 300. 7. Pollen-cell of the same Pinus on the 21st March, after treatment with a solution of caustic potash. The second nucleus is already formed. EXPLANATION OF THE FIGURES. 487 FIG. 8. A similar pollen-cell, already divided into two cells, treated with caustic potash and freed from the exine by rolling under the covering glass, X 300. 9. Pollen-cell of Pinus Larix, taken from the nucleus of an ovule in the middle of May. The exine has been stripped off by the swelling of the intine, X 400. 10. Longitudinal section of an ovule of a cone of Pinus Austriaca (just opened) at the beginning of June, x 150. 11. Longitudinal section of the nucleus of an ovule of Pinus Mughus from a cone just in flower, x 300. 12. Embryo-sac of the same species, somewhat later, after the dissolution of the central nucleus, X 500. 13. Embryo sac of Pinus sylveslris with the neighbouring cells, which are be- coming detached ; beginning of June, x 500. 14. Longitudinal section of the nucleus of the ovule of a cone of the same species which has lately flowered (beginning of June). The pollen-tube has already penetrated rather deeply into the nucleus, x 100. 15. Fragment of a detached embryo-sac of Pinus Austriaca, in the middle of June. Numerous free secondary nuclei are attached to the inner wall, X 300. 16. Longitudinal section of the embryo-sac of Pinus sylvestris, filled with cellular tissue ; end of June, X 300. 17. Ovule and basal portion of the spermophore of Pinus maritima, at the be- ginning of January of the second year. The walls of the cells of the very advanced endosperm (E) are much thickened by the addition of layers of gelatine. Two pollen-grains (P) have emitted tubes for a short dislance only into the nucleus, x 50. 18. A single cell of the endosperm at the same time, treated with tincture of iodine. The primordial utricle of the cell is contracted, x 300. 19. A single cell of the endosperm of the same species in the middle of March. The thickening layers of the cell-wall are already almost dissolved ; only the primary membrane of the cell is still intact, x 300. 20. Fragment of the membrane of the embryo-sac of Pinus Strobus cut through longitudinally, with some endosperm-cells loosely attached to the inner side ; at the beginning of April, x 300. PLATE LX. 1. Longitudinal section of the embryo-sac of Pinus sylvestris, at the begin- ning of April of the second year, x 30. 1*. One of the cells of the interior, x 300. 2. Embryo-sac detached, at the beginning of May. A layer of newly-formed cells has attached itself firmly to the inner side of the hardened mem- brane of the embryo-sac, which has now entirely displaced the loosened cells of the surrounding portion of the nucleus, x 30. 2*. Portion of the outer side of the embryo-sac of the latter figure, x 300. It will be seen that the cells attached to the inner wall of the embryo- sac are not yet firmly attached to one another at the surfaces of contact with the latter. 488 EXPLANATION OP THE FIGURES. FIG. 3. Portion of the membrane of a similar embryo-sac ruptured by gradually increased pressure. Numerous actively-multiplying cells are forced out from the fissure of the membrane; the cells also attached to the inner side of the wall have been detached from it by the pressure, x 200. 4. Longitudinal section of an embryo-sac, for the second time partly filled with cellular tissue ; in the middle of May of the second year. The detached membrane of the embryo-sac lies iu folds near it, x 50. 5. Young corpusculum, detached, with some of its neighbouring cells ; at the end of May. At this time the connection of the individual cells of the endosperm is still very loose, x 300. 6. Longitudinal section of the upper part of an endosperm; end of May. Two young corpuscula are visible. The cells covering the apex of the latter have not yet divided by cross longitudinal septa, x 150. 7. Transverse section through the same part of the less developed endosperm, on May 27th. The observer is looking from below into four corpuscula opened by the section. The large nuclei attached to the inner arch of the apex are visible, x 200. 8. Longitudinal section of a corpusculum at the beginning of June, x 200. 8*. The rosette of cells covering the apex of the corpuscula, seen from above, x 200. 9. Longitudinal section of a corpusculum, at the top of which the end of a pollen-tube has just arrived, x 200. 10. The lower end of a corpusculum just impregnated, with the germinal vesicle pressed into the arch (on the 16th June), x 300. 11 — 13. Stages of development of the pro-embryo (the lower ends of the longitudinally-divided corpuscula), from the 16th to the 18th June of the second year, x 300. PLATE LXL 1. Apical arch of a longitudinally-divided corpusculum of Pinus Abies, L. {Pinus excelsa, DC), at which the end of a pollen-tube has lately arrived, and in which several germinal vesicles adhere, of which one has increased largely in size ; on the 23rd June (1858), x 500. 2. Longitudinal section of the upper part of an endosperm of the same species at the same time. Two impregnated corpuscula are opened by the section. In the one to the right the rudiment of a pro-embryo is pressed into the lower end ; in that to the left a similar rudiment is still at some distance from tbe base, x 40. 2\ The rudiment of the pro-embryo of this latter corpusculum, x 500. Pigs. 3 — 11. Pinus Strobus. 3. A germinal vesicle just impregnated ; on the 26th of June, x 200. 4 — 7. A series of stages of development of the pro-embryo, arranged accord- ing to their state of advancement (from 25th to 28th June). Figs. 4— 6, x 300; fig. 7, X 200. 8. The pro-embryo immediately before dividing into four longitudinal rows of cells, x 100. EXPLANATION OF THE FIGURES. 489 FIG. 9, 10. Pro-embryos during the division into their longitudinal rows of cells ; on the 30th June, x 100. 11. (The middle figure.) — One of the fourth parts of the pro-embryo, at whose lower end the multiplication in the direction of the thickness has begun, X 100. Fig. 11 (left-hand figure) to Fig. 14. Plnus Larix. 11. (Left-hand figure.) — End of a pollen-tube drawn out from the corpus- culum, which has been just impregnated. 11J. The same object after its apex and the cell hanging to it have been pushed out. 12. Apex of a pollen-tube, and portion of the cell attached to it, X 400. 13. 14. Longitudinal section of corpuscula just impregnated, X 150. PLATE LX1I. Figs. 1 — 8. Pinus Canadensis. 1. The upper part of an endosperm shortly before the arrival of the pollen- tube at the embryo-sac (on the 7th July of the first year), with two corpuscula laid open by the section, X 200. 2. Longitudinal section of a corpusculum, into which a pollen-tube has lately penetrated (beginning of July), X 200. 3. Longitudinal section of an endosperm (middle of July). It exhibits two corpscula. A pollen-tube has shortly before penetrated to the upper surface of the left hand one. Against the base of this corpusculum the four-celled rudiment of the embryo is compressed, x 200. 4. A recently impregnated germinal vesicle (middle of July) confined at the lower end of the corpusculum, which has been cut through longitudinally, x 400. 4*. The same specimen treated with an alkaline ley. 5. Longitudinal section of a corpusculum containing a rudimentary pro- embryo pressed into the base, and another less developed one floating freely, X 100. 7. A further developed pro-embryo. The walls of the upper cell, which are are turned towards the corpusculum, are much thickened by the addition of glassy transparent layers, x 300. 8. A more developed pro-embryo. In its upper cells are found spherical irregular masses, of a glassy substance. The wall of the corpusculum — which is detached from the neighbouring cells, and is adherent to the specimen — exhibits shallow pits, and flat ridges, seated on the outer side, whose course corresponds with that of the edges of contact of the neighbouring cells (end of July), x 300. Figs. 9, 10. Pinus sylvestris. 9. 10. Young embryos in longitudinal section ; from the 28th June until 7th July, x 250. 490 EXPLANATION OF THE FIGURES. Fig. 11. Pinus balsamea. FIG. 11. Longitudinal section of the embryo-sac of P. balsamea, filled by a few large cells ; at the beginning of May of the first year. PLATE LXI1I. Tigs. 1 — 1-2. Taxus baccata. 1. Longitudinal section of an ovule at the end of March. The shaded part shows the position of the cells destined to become embryo-sacs, x 30. 2. The cells of this part, x 300. The contents of the rudiments of the embryo-sacs are contracted by tincture of iodine. 3. Apex of the ovule in the middle of April, in longitudinal section. The course of the pollen-tube, which at this time is very delicate, is exposed, x 150. 4. The embryo-sac and neighbouring cells from an ovule cut longitudinally ; end of April, x 300. 5 — 7. Further developed embryo-sacs ; detached (6th May), x 300. 8. Embryo-sac and one of its neighbouring cells ; detached (17th May), X 500. 9. Embryo-sac ; detached, x 300. 10. Longitudinal section of the nucleus of an ovule, through which two pollen- tubes have penetrated to the embryo-sac (22nd May), x 200. 11. Lower end of a pollen-tube with a portion of the endosperm cut through longitudinally ; both detached. Impregnation has not yet occurred ; the rosette is still uninjured, x 350. 12. Young rudiment of a pro-embryo with a portion of the membrane of the corpusculum detached, x 350. Fig. 13. Taxus Canadensis. 13. Apex of the endosperm with the end of the pollen-tube and an impregnated corpusculum with the rudiment of a pro-embryo in longitudinal section ; on the 10th June, x 300. PLATE LXIV. Fig. 1. Taxus Canadensis. 1. Longitudinal section of the upper end of an endosperm witli the pollen- tube; on June 5th. Two corpuscula are laid open by the section; the right hand one is impregnated ; the impregnated germinal vesicle occupies the lower third part of it, x 300. Fig. 2. Taxus baccata. 2 Lower ends of two pollen-tubes with portions of the endosperm, which has been cut through longitudinally, soon after impregnation. The pollen- tubes are drawn away for a short distance from the endosperm ; the left hand one has in consequence been torn at the outermost apex, x 300. EXPLANATION OF THE FIGURES. 491 Figs. 3, 3*, 4. Thuja orientalis. FIG. 3. End of a pollen-tube, detached, x 250. 3*. Some of the contents of the pollen-tube shown in fig. 3, X 500. 4. End of a pollen-tube detached, x 250. Figs. 5, 6. Juniperus Siberica. 5. Nucleus of the ovule with the lower portion of the integument of the ovule, in longitudinal section ; on June 5th of the first year, x 300. 6. Detached embryo-sac at the end of May of the second year, which has be- come filled with cellular tissue for the second time. The membrane of the embryo-sac is swollen with water, x 60. PLATE LXV. Fig. 1. Juniperus Sibirica. 1. Apex of the embryo-sac filled with .endosperm, in longitudinal section ; three corpuscula are exposed ; on June 9th of the second year, X 300. Figs. 2 — 7. Juniperus communis. 2. Corpuscula cut longitudinally, with a small portion of the endosperm and the pollen-tube ; on the 20th July, X 300. 3. Three impregnated corpuscula, with the lower portion of the pollen-tube (longitudinal section of an endosperm on July 28th), x 300. 4. Pro-embiyo consisting of three longitudinal rows of cells. 5. Longitudinal section of an impregnated ovule (the integument is omitted in the drawing). The pointed line in the endosperm shows the boundaries of the region in which the cells are loosened and partly dis- solved. The development of the embryos of this specimen corresponds almost with that of the one shown in fig. 7. (Beginning of August.) X 30. 6. Lower end of one of the isolated longitudinal rows of cells of a pro-embryo, with the mother-cell of the embryo still undivided, x 150. 7. A similar specimen, with a more developed rudiment of the embryo. 8. A similar specimen. Figs. 9 — 10*. Thuja orientalis. 9. Upper end of the endosperm with the group of corpuscula and two pollen- tubes which have penetrated into the depression above it, in longitu- dinal section ; on June 18th, x 250. 10. A similar specimen with a single pollen-tube, which has sent prolongations into the corpuscula; on June 28th, x 250. 10*. The pollen-tube of the latter preparation detached. J PLATE 1. '. ■'. imp . ^ PLATE II r* W.Hofineurtfl- PLATE XXX. V Kli..-:;--! >: Tufflai'WeE PLATE XXXI. ■k Qf - "W. WeBi, imp. PLATE PLATE XXXni "W. Wea1. imp, PLATE XXXIV. W. Hoftneisitei'.ael Tuffen West , sc. imp. PLATE XXXV. W.Hbfmeister.iel. TuftenWest.s TW. We ■ PLATE XXXVI. ■W.Hoftiwister.ael T\iffenVfet W, West, imp. PLATE XXXVII r ^ W! West, lmj;. PLATE XXXVIII. J. W. Hofmoister.cUL. TufFonWest.sc. * , imp. PLATE XX / W.Hofaieistei.del TufienWest.se. W.WeBt, imp. PLATE XL. "W.Hofmeister.dfiL. Taffen. West, sc W. Weal PLATE XLI. A) Wile!:- lies* sc ■ TE XL11. W.Hofinaister.ael. TuffenWest.se. W. Weri PLATE XL11I. ■ :v. 31. 28. ■ ■ ! PLATE XLV. ■ i imp. PLATE XLVI. W.Holmeister.afil Tuffen "Wes*\ ae. ax PLATE XLVII. W Ebnaeisteii del TuBee - rei TAT West, imp. PLATE XLVIII. AT. Hn.fnieister.clel. Tu&m. West, sc W Weal ■ ■ PLATE XLIX. V Hnfineister del. Tiii'b-; T .'■ ■> r PLATE LI. nei< er UL . . /;•" -+ i PLATE LII. : ■ . PLATE LIII. W.Hofmei.£ter,deL Tu£Een."West,sc. PLATE LIV. W: Hafineistar. -lei TuffenWeBt.se. "W. West , Imp. PLATE LV. r, HDrhaeister, 4aL TuiFeriWest.sc. W. We; ' PLATE LVI. W. Hofmeister.aeL" TuffenWest.sc. W. West, imp. PLATE LV] ■5-, WHofineister del, Tuifeu We W.Wer . Hofraeiater, del. TuSeaWest, sc. , W Wei PLATE LIX. "W! HonrLeist^ : PLATE LX. Holtn>-_-i3tev,'l.-J. Tj:. W.Wect imv PLATE LXI. PLATE LXII. f.Hoftij- ' ■ PLATE LXH1 Jeet.ac. . PLATE LW. F. Hofmeister.del. TUften Weat.BC, 1 ofinelBter.Aal. Tuff en es bc u INDEX. in of of Abies excelsa, fecundation of, 418. Abietinese, anatropal ovules of, 400 ; nucleus in, 400 ; corpuscula of, 410. Abnormal fruit in mosses, Gumbel's observations on, 180. Adiantum, antheridia of, 187 ; germi- nation of, 183. Adventitious roots, 203 ; of Isoetes, 336. Adventitious shoots of abortive pro- thallia of ferns, 197. Agardb, observations on the germina- tion of Equisetacese, 304. Air-cavities of Marchautiese, 111. Air-cavities of antheridial discs Marchantia polymorpha, 121 ; receptacle of do., 117. Alicularia, antheridia of, 65. Alicularia scalaris, arrangement cells in leaves of, 63 ; cell-multipli cation in apex of stem of, 442 development of fruit of, 74, 77, 78 development of perianth in, 69 germination of, 54 ; ramification of prothallium of, 84. Allosurus, abortive prothallia of, 197. Alternation of generations in mosses and ferns, 434. Amoeboid movements of primordial utricle of spore-mother-cells in Phascitm cuspidatum, 163. Analogy of the prothallium and frond of ferns, to the leafy plant and fruit of mosses, 435. Aneura, archegonia of, 44 ; cell- development in stem of, 43 ; growth of stem in, 43 ; ramification of, 44. Aneura multifield, 21; elaters of, 86; spermatozoids of, 87. Aneura pinguis, 21 ; development of antheridia of, 45. Anther of Pinus, 401. Antheridia of Aneura pinguis, 45 ; of Anthoceros, 7 ; of Botrychium Lu- naria, 308 ; of Equisetacese, 293 ; observed by Thuret and Milde, 306; of ferns, 185 ; discovered by Nageli, 258 ; of Fossombronia pusilla, 65 ; of Jungermanniae, 87 ; of Junger- mannia, Lophocolea, Radula, Mado- theca, Alicularia, Erullania, Fossom- bronia, Haplomitrium, 65 ; of Liverworts, »Gott.sche's views on, erroneous, 88 ; of Lophocolea biden- tata, rarity of, 72 ; of Lophocolea hete- rophylla, Radula complanata,Junger- mannia divaricata, and Frullania dilatata, 73 ; of Madotheca platy- phylla, 65, 67 ; of Marchantia poly - tnorpha, 120 ; of Metzgeria furcata, 43 ; of mosses, 152 ; Hedwig on, 175; of Ophioglossum,Metteniuson, 316 ; of PelHa epiphylla, 29 ; great number of in Pellia epiphylla, 31 ; of Rebouillia hemispherica, 122 ; of Riccia glauca, 93, 94; of Riella, 99; of Sphagnum, 154; observa- tions on, in Sphagnum, by Schleiden, 155, 177; and by Schimper and Unger, 1?7. Antheridia, production of, on adven- titious shoots of the prothallium of ferns, 197. Anthoceros, early growth of, 1, 3 ; reference to figures of, and observa- tions on, by Bischoff, Nees von Esenbeck, and Schacht, 19. Archegonia of Aneura, 44 ; of Antho- ceros, 9 ; of Archidium, 149 ; of Archidium phascoides, 152; oiBotry- 494 INDEX. chium Lunaria, 308 ; of Calypogeia Trichomanes, 70 ; of Dicranum, 149 ; of Equisetaceee, 298 ; Bischoff and Milde on, 306 ; of Fegatella conica, 114 ; of ferns, 189 ; their nature detected by Lesczyc-Suminski, 258 ; observations on by Nageli, 258 ; Schaclit, 260 ; and Von Mercklin, 261 ; of Fissidens, 149 ; of Fossom- bronia pusilla, 67, 71 ; of Frullania, 68 ; of Funaria, 149 ; of Isoetes lacustris, 340 ; structure of in Jungermanniae, described by Hed- wig, 85 ; of leafy Liverworts, 67 ; of Marchantia polymorpha, 115 ; of Marsilea pubescens, 327; of Metzgeria furcata, 43 ; of mosses, 148 ; obser- vations on, by Hedwig, 175 ; Schimper and Valentine, 177 ; of Ophioglossum, Mettenius on, 316; of Pellia epiphylla, 32 ; of Phascum, 149 ; of Filularia globulifera, 322 ; Nageli on, 335 ; of Polytrichum, 149 ; of Radula complanata, 67 ; of Rebouillia hemispherica, 113; of Riccia glauca, 93, 95 ; of Riella, 99 ; of Salvinia nutans, 329 ; of Selaginella, 393 ; of Sphagnum, 142, 150 ; Targionja hypophylla 118. Archegonia of Mosses, Liverworts, Ferns, Equisetacese, Rhizocarpeae, and Lycopodiacese compared, 434. Archidium, Schimper on the fructifica- tion of, 169. Archidium phascoides, archegonia of, 149, 152 ; fruit of, 160, 168, 169. Arrangement of fronds in Isoeteaj, Alexander Braun on, 335. Aspidium filix-mas, antheridia of, 187; archegonia of, 191; development of embryo in, 200 ; development of vegetative organs of, 208, 226 ; germination of, 183 ; production of fronds in, 226 ; production of roots in, 243. Aspidium spinulosum, development of fronds in, 230. Asplenium Bellangeri, adventitious buds of, 247 ; vegetation of, 245. Asplenium filix-femina, adventitious buds of, 247 ; development of fronds in, 230 ; division of stem of, 247 ; structure of terminal bud, stipes and roots of, 246; vegetation of, 245. Asplenium septentrionale, germination of, 183. Asplenium Trichomanes, development of fronds in, 230. Balantium Karstenianum, cellular hairs of stem-bud of, 212. Bark of stem of Fteris aquilina, 215. Bast-cells of stem of Fteris aquilina, 215 ; formation of in stem-bud, 217. Bischoff on Anthoceros, 19 ; his dis- covery of the archegonia of Equise- tacese, 306 ; on the production of antheridia and archegonia on the prothallium of Equisetum sylvaticum, 297 ; on the germination of Equi- setacese, 305 ; on the sexual organs of the prothallium of ferns, 257 ; on the development of the fruit- stem in Fegatella, 115 ; on the germination of the spores of the Jungermannise, 83 ; on Lttnularia vulgaris, 126; on Marchantiese, 122; on Pellia, 26 ; on Rebouillia hemis- pherica, 114, and its antheridia, 122; on the fructification of Riccia, 97; on the sporangia of Selaginella, 3S7. Blasia, 47. Stasia pusilla, germination of, 83 ; spore-mother-cells of, 82. Botrychium Lunaria, germination and development of, 307 ; succession of fronds in, 311. Branches, fertile, of Selaginella, 384. Braun, Alexander, on the fronds and roots of Isoetese, 337 ; on the stem of Isoetes, 354 ; on the interchange of fertile and sterile leaves in Isoetes lacustris, 362 ; on the growth of Ophioglossum and Botrychium, 310 ; on phyllotaxis in Sphagnum, 136. Brogniart on the stems of ferns, 262. Brown, Robert, his discovery of the poly-embryony of Coniferse, 432. Bruchs on the fruit of mosses, 180. Bryum, antheridia of, 152; develop- ment of leaves of, 142. Bryum argenteum, development of fruit of, 156. Bryum caspitosum, antheridia of, 153. Bud-receptacle in Blasia, 50. Bud, terminal, of Aspidium filix-mas, INDEX. 495 227 ; division of, in Asplenium filix- femina, 247 ; of Pilularia, 325. Buds, production of, in Aneura mulli- jida, 46 ; in Anthoceros, 18, 48 ; development of, in Pteris aquilina, 225 ; of Lunularia, 104, 107 ; of Marchantia, 104, 107 ; of Kiccia, 48. Buds, adventitious, of Aspidium filix- rtias, A. spinulosum, and A. oreopteris, 245 ; Asplenium Bellangeri, 247 ; of Asplenium filix-femina, 245, 247 ; of Equisetaceae, 275, 303 ; of Ma- rattia Cicutcefolia, 255 ; of Nephro- lepis, 247 ; of Opliioglossum, 315 ; of Strulhiopteris Germanica, 245, 247. Buds, reproductive of Blasia, 48 — 50 ; Corda's description of their germi- nation, 48. Bulbils of Lunularia, 104, 107; of Marchantia, 104, 107. Calypogeia Trichomanes, archegonia of 7U ; calyptra of, 80 ; cell-multiplica- tion in apex of cell of, 442 ; deve- lopment of fruit of, 74, 77, 80; observed by Gottsche, 86; develop- ment of perianth in, 70. Calyptra of Aneura multifida, 45 ; of Anthoceros, 13 ; of Calypogeia Trichomanes, 80; of Liverworts, development of, 79 ; of Junger- mannia bicuspidata, 79 ; of Frul- lania dilatata, 80 ; of Marchantia polymorph^ 116 ; of mosses, 159; of Radula complanata, 79 ; of Rebou- illia hemispherica, 113; of Riccia glauca, 96 ; Targionia hypophylla, 119. Calyx of leafy Liverworts, 68. Cambium layer peculiar to Isoetes among vascular Cryptogams, 372. Capsule of Fegatella conica, 115; of Pellia epiphylla, 37 ; of Kiella, 100. Cell, apical, of terminal bud of stem in Aspidium filix-mas, 231 ; in Equisetaceae, 267 ; in Ferns, 231 — 239 ; in Marattia cicutafiolia, 254 ; in Nephrolepis undulata, and N. splendens, 248 ; in Niphobolus ru- pestris, and N. chinensis, 218 ; in Opliioglossum vulgatum, 314 ; in Platycerium alcicome. 253 ; in Poly- podium aureum, P. punctalum, P. cymatodes, and P. vulgare, 248 ; division of, in Selaginella, 273 ; of Sphagnum, 129. Cell-development in the stem of Aneura, 43 ; in stem and shoots of Anthoceros, 4 ; in the germ-plant of Frullania dilatata, 52 ; in the germ-plant of Jungermannia bicus- pidata, 53 ; in the stem of Metz- geria ' fur cat a, 42; in the shoots of Pellia epiphylla, 27. Cell-division in leaves of Fegatella conica, 109. Cell-formation in spores of Isoetes lacustris, 339 ; importance of the study of the spores of Pellia epi- phylla in regard to, 39. Cell-multiplication in autheridia of Equisetacese, 294 ; in archegonia of Equisetaceae, 298 ; of ferns, 190 ; in the developing fruit of Equise- taceae, 301 ; in the embryos of Pteris aquilina and Aspidium filix- mas, 201; in the embryo of Sal- vinia nutans, 333 ; in germ-plant of Radula complanata, 55 ; in the stem of Equisetum, 272 ; in the stem of Frullania dilatata, 56, 57; in the stem of the leafy Junger- mannise, 56, 442; Kageli on, 84 ; in the stems of Jungermannia bicus- pidata, 56, 57, J. connivens, 57, /. exsecla and /. trichophylla, 84 ; in stem of Lophocolea bidentata, 56 ; in stem of Metzgeria furcata, 84 ; in stem of Selaginella, 374; in stem of Sphagnum, 130 ; in stem of Trichocolea tomenfella, 56 ; in terminal bud of Blasia, 49, of Equisetaceae, 267, of Pteris aquilina, 217; in first frond of Pteris aqui- lina, 208 ; in young fronds of Niphobolus rupestris and N. splen- dens, 249, and of Polypodium aureum, 250 ; in leaves of Bryum, Hypnum, Phascum, and Poly- trichum, 142 ; in leaves of Ortho- trichum affine, 139 ; in leaves of Sphagnum, 136 ; Nageli on, 140 ; in leaves of Sphagnum squarrosum, 1 42 ; in roots of Aspidium filix- mas, 244, of Equisetum, 279, and of Isoetes lacustris, 348 — 356. Cell-succession in apex of Aspidium filix-mas and A. spitmlosum, 241 ; in apex of leaf-buds of phaenoga- mous plants, 239. 496 INDEX. Cells, arrangement of in stems of Equiseta, 272 ; pitted in Sphag- num, 134 ; scalariform of Pteris aquilina, 219. Ceratopteris, germination of, 183. Ceratopteris thalictroides, antheridia of, 187 ; archegonia of, 191, 193. Chlorophyll-bodies in cells of Antho- ceros, 6 ; of Phascum, 146. Chlorophyll-granules of Metzgeria furcata, small size of, 42. Chlorophyll-vesicle, 6. Cilia of spermatozoids of ferns, 189. Classification of mosses and liver- worts, 407. Columella of Anthoceros, 13. Coniferae, development of pollen in, 401 ; differences of, from phceno- gams, 441 ; ovules of, 400 ; poly- embryony of, discovered by "Robert Erown, 432. Corda on the reproductive buds of Blasia, 48 ; on the pollen-tube of Conifers, 432. Corpuscula of Coniferae, 410 ; num- ber of, in different species, 411, 412 ; free cells in, 412 ; of Pinus canadensis and P. picea, 411. Cramer on cell-succession in the end of the stem of Equisetum, 207. Creeping-stem of Pteris aquilina, 212. Cupressus, corpuscula of, 410; de- velopment of endosperm in, 410. De Bary, observations on the spores of Lycopodium inundalum, 399. De Vnese and Harting on the Marat- tiaceae, 254. Dicksonia rubiginosa, cellular hairs of stem-bud of, 212. Dicksoniae, stems of, 213. Dicranum, archegonium of, 149. Dicranum scoparium, terminal bud of, 129. Dillenius on Marchantia polymorpha, 123. Dipiolaena, 47. Disc, antheridial, of Marchantia poly- morpha, 120. Duriena, leaf of, 98. Ehrhart on the prothallium of ferns, 257. Elateis of Aneura multifida, develop- ment of, 45 ; Schmidel on, 86 ; of Anthoceros, 13; of Equisetaceae, 287, Sanio's observations on ab- normal formation of, 291 ; of Fos- sombronia pusilla, 82 ; of Junger- mannia bicuspidata, 78, 79, 81 ; of Jungermannia divaricata, 75 ; of Jungermanuise, Gottsche on, 87 ; of Pellia epiphylla, 38 ; of Tar- gionia hypophylla, 120. Embryo, development of, in Abietineae, 421 ; position of, on the prothal- lium, in Botrychium Lunaria, 308 ; development of, in Coniferae, 406, observations of Hartig, Gottsche and Pineau on, 407 ; formation of, in Coniferae, intermediate between that of cryptogams and phceno- gams, 408, opinions of Schleiden, Schacht and Geleznow on, 428 ; development of in Equisetaceae, 301 ; of Ferns, 200 ; development of in Isoetes lacuslris, 343 ; formation of, in Larix, Geleznoff's statements on, 422, of Ophioglossum, Mette- nius on, 316 ; formation of iu Pilularia, 323 ; production of iu Salvinia natans, 332 ; development of in Selaginella, 395. Encalypta, antheridia of, 152 ; ca- lyptra of, 159 ; spore-mother-cells of, 160. Endosperm, development of, in Coni- ferae, 408. Epidermis, formation of, in Equise- taceae, 273. Equisetaceae, production of antheridia in, 293 ; development of archego- nia in, 298 ; fecundation and de- velopment of embryo in, 300, 301 ; obstacles to germination of, 296 ; prothallium of, 292; spermatozoids of, 294; terminal bud of, 267; vegetation of, 303. Equisetum arvense, adventitious buds of, 276, 304 ; antheridia of, 296 ; apical cells of antheridia of, 294 ; fructifying shoots of, 2S0 ; germi- nation of, 292, 297 ; development of germ-plant of, 304 ; prothallium of, dioecious, 294 ; production of male prothallia in, 297 ; spermato- zoids of, 296. Equisetum hyemale, stem of, 271. Equisetum limosum, adventitious buds and shoots of, 2/6, 277 ; antheridia of, 294, 296 ; cell-multiplication in terminal bud of, 268 ; germination INDEX. 497 of, 292 ; growth of leaves of, 271 ; pith of, 275 ; rhizome of, 278 ; stem of, 271. Equisetum palustre, adventitious buds of, 276 ; germination of, 292 ; pith of, 275 ; prothallium of, dioecious, 293 ; spore-mother-cells and spores of, 283 ; stem of, 271. Equisetum pratense, formation of ad- ventitious buds in, 275 ; pith of, 275 ; prothallium of, dioecious, 293 ; stem of, 271. ' Equisetum variegatum, pith of, 275 ; stem of, 271. Exosporium of Anthoceros, Kiitzing on, 17; of Isoetes lacustris, Roper and Scnleiden on, 338. Eegatella conica, Hedwig on, 123 ; Schmidel on, 123 ; archegonia of, 114; capsule of, 115; rudimen- tary fruit of, 115 ; cell-division in leaves of, 109 ; shoots of, 102 ; vegetative organs of, 102. Ferns, 182 ; alternation of genera- tions in, 434, 435 ; antheridia of, ] 85 ; antheridia and spermatozoids of, discovered by Nageli, 258 ; archegonia of, 189, observed by Nageli, 258; embryo of, 200; growth of first fronds of, 207 ; germinal vesicle of, 193 ; germina- tion of, 182 ; impregnation of, 198, described by Lesczyc-Suminski, 258 ; prothallium of, observed by Ehrhart, 257 ; development of roots of, 203, 205 ; spermatozoids of, 187, 188, 189; development of vegetative organs of, 208. Fissideus, archegouium of, 149 ; de- velopment of fruit of, 156 ; leaf of, 143, 144, Fossombronia pusilla, antheridia of, 65; archegonia of, 67, 71 ; develop- ment of leaf of, 58, 63 ; spermato- zoidsof, 67; discovered by Schmidel, 87; spore-mother-cells and elaters of, 82. Fritzsche, observations on the pollen of the Abietinese, 405. Fronds, of Aspidium filix-mas, ar- rangement of, 228, tirst formation of, 243, production of, 226; of Aspidium spinulosum, Asplenium filix-femina and A. Trichomanes, development and arrangement of, 230 ; of Botrychium, succession of, 311 ; of Ferns, growth of, 207 ; of Isoeteee, A. Braun on the arrange- ment of, 337 ; adventitious, of Ma- rat tia cicutafolia, 255 ; of Ophio- glossum vulgatum, arrangement and succession of, 313 ; of Pilularia, production of, 324 ; of Platycerium alcicome, 251 ; of Platycerium grande, 253 ; of Polypodium vul- gare and P. Bryopteris, 249 ; of Pteris aquilina, arrangement of, 212 ; duration of development of, in young and old plants, 222 ; produc- tion of new, 221 ; and production of in old plants, 224. Fronds and sporangia of ferns, analo- gous to fruit of mosses, 435. Fructification of Anthoceros, 7 ; of Archidium, Schimper on, 169 ; of Riccia glauca, 92, 93. Fruit, development of, in Alicularia . scalaris, 74, 77, 78 ; in Aneura multifida, 44, 45 ; in Anthoceros, 11, 12; in Calypogeia Trichomanes, 74, 77, 80; in Equisetum, 280 ; in ferns, 256; in Frullania dilatata, 74, 78, 80, 82 ; in Jungermannia divaricata, 74, 75, 76 ; in /. bicus- pidata, 74, 77, 78, 82; in J". trichophylla, 77, 82 ; in Lophocolea heterophylla, 77, 78 ; in mosses, 156; in Fellia epiphylla, 34; in Radula complanata, 74, 77, 78, 82 ; in Rebonillia hemispherical 114 ; in Riccia glauca, 97. Fruit, abnormal, in mosses, 180; of Anthoceros, 18; of Fegatella conica, 115; of Jungermannise, observed by Gottsche, 86 ; of Lophocolea bidentata, its rarity, 72; of Mar- chantia polymorpha, 116; of mosses, H. von Mold and Lantzius-Beninga on, 179, Bruchs on, 180; sheath of, in Fellia epiphylla, 36 ; of Pilu- laria globulifera, 320; of lliclla, 100 ; of Targionia hypophylla, 119. Fruit-stem of Fegatella conica, Schmi- del and Bischoff on the detachment of, 115. Frullania, 441 ; antheridia of, 65 ; archegonia of, 68. Frullania dilatata, relations of anthe- ridia and archegonia in, 73 ; calyp- tra of, 80; cell-multiplication in stem of, 56, 57, 442 ; fruit of, 74, 32 498 INDEX. 78, 80, 82 ; germination of, 51 ; development of leaves in, 61 ; de- velopment of perianth in, 69 ; spermatozoids of, 67 ; spore-mother- cells of, 81. Funaria hygrometrica, antheridia of, 152, 153 ; arcbegonia of, 149 ; fruit of, 156,157; germinal vesi- cle of, 151; Hedwig on the ger- mination of, 176 ; paraphyses of, 153 ; spermatozoids of, 1 54 ; spores and spore-mother-cells of, 160, 167. Furrows of stem in Isoetes, 367. Geleznow on the formation of the embryo in Conifers?, 428. Gemma?, formation of, mEiecm glauca, 97. Generations, alternation of, in mosses and ferns, 434. Geocalycea?, development of fruit of, 78. Germinal vesicle, of Conifera?, evolu- tion of, 426; of Equisetacea?, 299 ; of ferns, 103 ; of Funaria hygro- metrica, 151 ; of Juniperus commu- nis and /. sabina, 431 ; of mosses, 150 ; of Riella, 100 ; of Taxus baecata and T. canadensis, 430 ; of Thuja orient 'a lis, 431. Germination of Alicularia scalaris, 54 ; of Blasia pusilla, 83 ; of Bo- try chium lunaria, 307 ; of Equise- taceae, observations on by Vaucher and Agardh, 304, byBischoff, 305 ; of fern-spores, described by Kaul- fuss, 257; of Isoetes, 371, Mette- nius 6*it337; of Isoetes lacustris, Karl Mjf&er's observations on, 337 ; of Jungerrnannia?, 83 ; of Junger- mannia bicuspidata, 52 ; of /. crenulata, 5 4, '84 ; of J. divaricata, 54 ; of Lophocolea heterophylla, 54 ; of mosses, 160, Hedwig on, 175, Nageli and Schimper on, 176; of mosses and ferns, 435 ; of Ophio- glossum, Mettenius on, 315 ; of Pellia epiphylla, 21 ; of Filularia globulifera, 321; of Radula com- planata, 55 ; of Salvinia natans, 329 ; of Sarcoscyphus Funkii, 54 ; of Selaginella, Mettenius on, 337- Germ -plant, of Botry chium Lunaria, 307 ; of Equisetacea?, development of, 302, 304 ; of Riccia glauca, 89 ; of Selaginella, 396. Gottsche, on the fructification of Calypogeia Trichomanes, 70, 80; on the development of the embryo in Coniferse, 407 ; on the shoots of Haplomitrium Hookeri, 64 ; on the antheridia of Haplomitrium, 88 ; on the elaters and perianth of Jungerrnannia?, 87; on the young fruit of Jungerrnannia?, 86 ; on the germination of the spores of Jun- germanniaj, 83; on the develop- ment of the leaves of Jungerrnannia?, ■85 ; on the spermatozoids of Jun- gerrnannia?, 87 ; his erroneous views of antheridia of Liverworts, 88 ; on Marchantiea?, 122 ; on the seed and embryo of Pinus, 433 ; on Preissia cornmutata, 127. Gris, Arthur, on chlorophyll-bodies, 147. Grbnland on the germination of the spores and the ramification of the prothallium in Jungerrnannia?, 84 ; on Lunularia vulgaris, 127 ; on Marchanliu polymorpha, 127. Gumbel, observations on abnormal fruit in mosses, ISO. Gymnogramma calomelanos, archegonia of, 192, 194 ; abortive prothallia of, 197. Gymnogramma ehrysophylla, abortive prothallia of, 196, 197. Gymnostomum, antheridia of, 152 ; calyptra of, 159 ; spore-mother- cells of, 160. Gymnostomum ovatum, spore-mother- cells of, 164. Gymnostomum pyriforme, antheridia of, 153 ; fruit of, 157, 160 ; Hed- wig's observations on the germina- tion of, 175 ; spore-mother-cells of, 166 ; spores of, 167. Hairs, cellular, of the stem-bud in Pleris aquilina, 212. Hanstein on the stems of ferns, 202. Haplomitrium Hookeri, antheridia of, 65 ; Gottsche on, 88 ; development of leaves of, 63, 85 ; half-subterra- nean shoots of, 64. Hartig, on the suspensor in the Coni- fera?, 433 ; on the development of the embryo in the Couifera?, 407. Hedwig, on Fegatella conica, 123 ; on the antheridia of Jungerrnannia?, 87; observations on the archegonia INDEX. 499 of Jungermannise, 85 ; on the ger- mination of the spores of Junger- mannise, 83 ; on the reproduction of mosses, 175 ; on the germina- tion of mosses, 175 ; experiments on the germination of Gymnostomum pyriforme, 175, and of F anuria hygromeirica, 176 ; on the fructifi- cation of Riccia, 97. Uemitelia Gupensis, frond-like bodies at base of stipes of, 213. Henfrey on the impregnation of ferns, 261 ; on Marchantia polymorpha, 127. Hiibener on the pro-embryo of Schis- tostega, 173. Hybridity in mosses, 181. Hypnum, development of leaves of, 112; terminal 'bud of, 129. Impregnation in Conifera?, 406 ; Schacht's observations on, 422 ; in Equisetaceas, 300; in ferns, 198, de- scribed by Lesczyc-Summski, 258, observations on by Wigand, 259, Hofmeister, 260, Von Mercklin, Metteuius and Henfrey, 261 ; in Isoetes, 370 ; in Isoetes lucustris, 370; in mosses, 156; in Pellia epiphylla, 34 ; in Pilularia, 323. Indusium of ferns, 256. Inflorescence of Marchantia, 111. Isoetese, peculiarities in the growth of, indicated by H. von Mold, 336. Isoetes, germination of, Mettenius on, 337 ; different numbers of furrows in the stem of, 367, and differences of growth in accordance with them, 368 ; resemblance of, to Coniferse, in mode of reproduction, 370. Isoetes adspersa, leaves of, 363. Isoetes Durieui, leaves of, 363. Isoetes Hystrix, leaves of, 363. Isoetes lacustris, 335 ; Karl Midler's observations on the germination of, 337. Isoetes velata, leaves of, 363. Jungermannia, antheridia of, 65 ; archegonia of, 67. Jungermannia bicuspidata, calyptra of, 79 ; cell-multiplication in stem of, 56, 57, 442; elaters of, 78, 79; development of fruit of, 73, 74, 77, 78, 82 ; germination of, 52 ; Gron- land on the ramification of the germ- plant in, 54 ; development of leaves in, 59 ; development of perianth in, 69 ; shoots of, 64 ; production of spore-mother-cells in, 78, 79. Jungermunnia connivens, development of leaves of, 59 ; cell-multiplication iu stem of, 57. Jungermunnia crenulata, germination of, 54, 84 ; arrangements of cells in leaves of, 63 ; ramification of prothallium of, 84. Jungermunniu curtu, arrangement of cells in leaves of, 63. Jungermannia divaricata, antheridia of, axillary, 73; cell-multiplication in stem of, 56 ; elaters of, 75 ; de- velopment of fruit in, 73, 74, 75, 76 ; germination of, 54 ; develop- ment of leaves of, 59 ; development of perianth in, 69 ; spermatozoids of, 67. Jungermannia exsecta, cell-multiplica- tion in stem of, 84. Jungermamda trichophylla, develop- ment of fruit of, 77, 82 ; cell-mul- tiplication in stem of, 84. Jungermauuise, antheridia of, 87; germination of, 83 ; impregnation of, 73 ; development of leaves in, 85 ; variety of forms of leaves in, 57; perianth of, 87; ramification of, 64, 85 ; development of spores of, 86. Jucgermanniae, leafy, development of archegonium in, 67, 68 ; calyx or perianth of, 68 ; spermatozoids of, 67. Juniperus, cell-division in anthers of, 404 ; corpuscula of, 410 ; develop- ment of endosperm iu, 408 ; nu- cleus of, 400. Juniperus communis, fecundation of, 424. Juniperus subina, fecundation of, 424. Karsten on the stems of ferns, 263. Kaulfuss on the germination of fern- spores, 257. Kunze on the scales of Uemitelia Capensis, 243. Kutzing on the exosporium of Autho- ceros, 17. Lantzius-Beninga on the fruit of mosses, 179. 500 INDEX. Leaves, of Alicularia scularis, arrange- ment of cells in 63 ; of Blasia pusilla, 47 ; of Equisetacese, formation of, 269 ; of Fegatella conica, cell-divi- sion in, 109 ; of Fossombronia pusilla, development of, 58, 63 ; of Frul- lania dilatata, development of, 61 ; of Haplomitrium, development of 63 ; oilsoeles lacustris, arrangement of, 354, 356 ; development of, 344; fertile, of Iso'etes lacustris, 362 ; sterile and fertile, interchange of in Iso'etes lacustris, 362 ; of Jun- germannise, 57, 63 ; Gottsche on the development of, 85 ; of Jun- germannia curia and crenulata, arrangement of cells in, 63 ; of Jungermannia bicuspidata, conni- vens, and divaricata, development of, 59 ; of Lophocolea, development of, 58 ; of Lnnularia, development of, 110 ; of Marchantia polymorpha, 110 ; of mosses, 142, 147 ; Niigeli, Sehleiden, and Grisebach on the growth of, 147 ; pocket at base of, 143 ; of Orlkoirychum affine, deve- lopment of, 139 ; of Phascum cuspi- datum, 146 ; of Ptilidium ciliare, development of, 60 ; of Radula complanata, 63; of Rebouillia, 110; of Riccia glauca, 92 ; of Riella Reuteri, and R. (Duriena) helico- phylla, 98 ; of Selaginella, produc- tion of, 376, 396 ; of Sphagnum, arrangement of, 136 ; development of, 135 ; of Targionia, development of, 110. Lepidozia reptans, cell-multiplication in apex of stem of, 442. Lesczyc-Suminski, on the archegonia and fecundation of ferns, 258 ; on the spermatozoids oiPterisaquilina, 189. Lindenberg on the fructification of Riccia, 97. Linnaeus on Marchantia polymorpha, 133. Liverworts and mosses not natural equivalent groups, 436 ; classifica- tion of, 437. Liverworts, leafy antheridia of, 65 ; development of archegonia in, 67 ; calyx or perianth of, 68. Lophocolea, antheridia of, 65 ; deve- lopment of leaves of, 58. Lophocolea bidentata, 441 ; cell-multi- plication in stem of, 56 ; scarcity of antheridia and fruit in, 72. Lophocolea heterophylla, antheridia of, axillary, 73 ; development of fruit of, 74, 77; germination of, 54; leaves of, 5S. Lunularia, buds or bulbils of, 104 : development of leaves of, 11 0. Lunularia vulgaris, shoots of, 108 ; vegetative organs of, 102 ; Bischoff on, 126; Gionland on, 127. Lycopodiaeeae, reproduction of, 398. Lycopodiuni, mode of vegetation of, resembling that of Polypodiaceae, 398. Lycopodiuni clavatum, inundalum, and Selago, experiments in sowing spores of, 398. Lycopodiuni inundalum, De Bary's observations on the spores of, 399. Maerosporangium of Selaginella hor- tensis, 387. Macrospores, structure of, in Iso'etes lacustris, 338 ; development of, in Selaginella hortensis, 387 ; in S. Galeoitii, helvetica, Martensi, and spinulosa, 398 ; in S. helvetica, and hortensis, 393. Madotheca platyphylla, development of antheridia of, 65, 67 ; cell-multi- plication in apex of stem of, 442 ; spermatozoids of, 67- Marattia cicutcefolia, vegetation of 254. Marattiacese, De Vriese and Harting on, 254. Marchantia, buds or bulbils of, 104 ; 104 ; inflorescence of, 111 ; motile spermatozoids first seen in by Unger, 127. Marchantia polymorpha, antheridia of 120 ; development of leaves of, 110 ; shoots of, 108 ; spermatozoids of 121 ; vegetative organs of, 102 ; Dillenius, Linnaeus, Micheli, Mirbel, and Rupp on, 123 ; H. von Mohl and Nageli on, 124 ; Gronland and Henfrey on, 127. Marchantieae, 102 ; air-cavities of, 111, 117 ; antheridia of, 120; leaves of, 109 ; stem of, 110 ; stomata of, 110 ; Bischoff, Gottsche, and Nees, von Esenbeck on, 122 ; Schmidel, 123 ; Thuret on, 128. INDEX. 501 Marsilea p?ibescens, 318 ; macrospore of, 325 ; germination of, 326. Mercklin on the archegonia of ferns, 261 ; on vessels in the protliallium of ferus, 207. Mettenius on the growth of Botry- chium 310, 311 ; on the impregna- tion of ferns, 261 ; on the stems of ferns, 263 ; on the spermatozoids of Isoeles lacustris, 342 ; on the spores and germination of Isoeles and Selaginella, 337 ; on the germina- tion of 0| hioglossum, 315 ; on the Rbizocarpese, 335 ; on the spores of Salvinia natans, 330; on the pro- thallium of Selaginella, 392 ; on abortive archegonia in Selaginella, 395 ; on the spores of Selaginella, 390. Metzgeria furcata, cell-multiplication in stems of, 84 ; Nageli on the growth of, 41. Meyer on spermatozoids of Aneura, 87. Micheli, on Marchantia polymorpha, 123. Microsporangia of Selaginella, 391. Microspores of Isoetes lacustris, struc- ture of, 341, production of sperma- tozoids by, 342 ; of Salvinia nutans, 331 ; of Selaginella, 391, 394. Milde, description of the antheridia and spermatozoids of Equisetacese, 306; observations on the archegonium of Equisetaceee, 306. Mirbel, on the pro-embryo of the Coniferse, 433 ; on Marchaniia polymorpha, 123. Mnium horn urn, paraphyses of, 153. Mohl, H. von, on the formation of the septa of the spore-mother-cells in Anthoceros, 16 ; on chlorophyll bodies, 146 ; on the bark of ferns, 215 ; on the structure of the stems of ferns, 262 ; on the vascular bundles of ferns, 225 ; on the growth of Isoetese, 336 ; on the development of the spores of Jun- germannise, 86 ; ou Marchantia polymorpha, 124 ; on the fruit of mosses, 179 ; on the sporangia of Selaginella, 387. Moonwort, 307. Morison on the growth of Scolopen- driurn officinarum from spores, 257. Mosses and liverworts, not natural equivalent groups, 436 ; classfica- tion of, 437. Mosses, alternation of generations in, 434, 435 ; antheridia of 152 ; arche- gonia of, 148 ; development of fruit of, 156; abnormal fruit in, Gum- bel's observations on, 180 ; ger- minal vesicle of, 150 ; germination of spores of, 170 ; impregnation of, 156 ; pocket at base of leaves of, 143 ; spore-mother-cells of, 160 ; growth of stems of, 129 ; so-called stigma of, 151. Mother-cell, persistence of, in Equise- tacese, 291. Miillcr, Karl, on the germination of Isoetes lacustris, 337. Muller, II., on the stipules of Selagi- nella, 378. Nageli, on chlorophyll-bodies, 145 ; on the archegonia, antheridia, and spermatozoids of ferns, 258 ; on the spermatozoids of ferns, 1S9; on the stems of ferns, 202 ; on cell-multiplication in the stems of JungermanniaB, 84 ; on Marchantia polymorpha, 124; on the growth of Metzgeria furcata, 41 ; on the ger- mination of mosses, 176; on the leaves of mosses, 147 ; on the pro- embryo of mosses, 172 ; on cell- multiplication in the leaves of Phascum, Bryum, Hypnum, and Polytrichum, 1 42 ; on the produc- tion of spermatozoids in Pilularia, 335 ; on cell-multiplication in leaves of Sphagnum, 140 ; on cell-multi- plication in apex of stem of Sphag- num, 130. Neckera complanata, antheridia of, 153. Nees von Esenbeck, on Anthoceros, 19 ; on the germination of the spores of the Jungermannise, 83 ; on the ramification of Jungerman- nise, 85 ; on Marchantiese, 122. Nephrolepis, adventitious buds and stolons of, 247. Nephrolepis splendens, vegetation of, 245 ; apical cell of terminal bud of, 248. Nephrolepis tuberosa, 247. Nephrolepis undulata, apical cell of terminal bud of, 248; vegetation of, 245. 502 INDEX. Niphobolus chinensis, apical cell of, 248. Niphobolus lingua, apical cell of, 239. Niphobolus rupestris, apical cell of, 239, 248. Nothochlseua, abortive prothallia of, 197. Nucleus in Abietinese, 400 ; in Juni- perus, 400 ; in Pinus, 400 ; in Taxus, 400 ; in Thuja, 400. Ophioglosseae, 307. Ophioglossum, prothallium of, obser- vations of Mettenius upon, 315. Ophioglossum pedunculosum, root-buds of, 315. Ophioglossum vulgutum, development of vegetative organs of, 312. Orthotrichum, calyptra of, 159. Orthotrichum affine, development of vegetative organs of, 139. Ovules of Coniferse, 400. Papillae, marginal, of leaves of Selagi- nella, 380. Paraphyses of mosses, 153. Pellia epiphylla, 21. Perianth, of Alicularia scalaris, 69 ; of Calypogeia Trichomanes, 70 ; of Frullania dilatata, 69 ; of Junger- mannise, 87 ; of Jungermannia bicus- pidata and /. dlvaricata, 69 ; of leafy Jungermannia?, 68 ; repre- sented in Pellia epiphylla by the pouch-shaped covering of the arche- gouium, 33 ; of Radula complanata, 68 Phascum, antheridia of, 152 ; arche- gonia of, 149 ; calyptra of, 159 ; development of fruit of, 156, 157, 158, 160 ; development of leaves of, 142 ; spore-mother-cells of, 160 ; terminal bud of, 129. Phascum bryoides, development of fruit of, 160. Phascum citspidatum,, spore-mother- cells of, 160 ; spores of, 164, amoe- boid movements of primordial utricle in, 163. Phascum serratum, pro-embryo of, 172. Pliyllotaxis in Sphagnum, 136. Pilularia, development of fruit of, 318. Pineau, on the development of the embryo in Conifer*, 407. Pinnse, of frond, formation of, in Pteris aquilina, 209. Pinus, anther of, 401 ; Gottsche on the seed and embryo of, 433. Pinus Abies, fecundation of, 418. Pinus balsamea, nucleus of, 400. Pinus Canadensis, fecundation of, 418. Pinus Larix, fecundation of, 419. Pinus Strobus, nucleus of, 400. Pinus syloestris, fecundation of, 417 ; nucleus of, 400. Pith of Equisetum, 274. Plagiochila asplenioides, cell-multipli- cation in apex of stem of, 442. Platycerium alcicorne, germination of, 182 ; vegetation of, 251. Pocket, of leaves of mosses, 143. Pollen, of Abietinese, development of, 405 ; Fritzsche's observations on, 405 ; of Coniferse, development of, 401, resemblance of vital pheno- mena of, to those of the microspores of Pilularia, &c, 438 ; of Cycadeae, 406 ; of Ephedra, Schacht on, 406 ; development of, in Pinus syloestris, P. maritima, P. balsamea and P. Larix, 402 ; in Juniperus, Thuja occidenlalis, Abies pectinala, and Picea vulgaris, 405. Polleu-tubes of Couiferse, their entrance into the endosperm, 415; develop- ment of free spherical cells in the ends of, 416 ; their penetration into thecorpusculaprovedbyCorda, 432. Pollen-tubes in Taxus, Juniperus, Pinus syloestris, P. Mughus, P. Austriacus, and P. Strobus, 406. Poly-embryony of Coniferse, discovered by Robert Brown, 432. Polypodiacese, prothallia, and anthe- ridia of, 186. Polypodium aureum, apical-cell of, 239, 248. Polypodium cymalodes, apical-cell of, 239, 248. Polypodium Dryopleris, apical-cell of, 239 ; arrangement of fronds in, 249. Polypodium punctatum, apical-cell of, 248. Polypodium punctulatum, apical-cell of, 239. Polypodium vulgare, apical-cell of, 239, 218; arrangement of fronds in, 249. Polytrichum, antheridia of, 152 ; archegonia of, 149; development of leaves of, 142 ; terminal bud of, 129. INDEX. 503 Polytrkhum formosum, spermatozoids of, 154. Polytrichum juniperinum, antheridia of, 153. " Precursors" of the vascular bundles, in Isoetes lacustris, 352. Preissia commutata, Gottsche on, 127; Schmidel on, 123. Presl, on the stems and fronds of Bo- trychium, 310, 311. Pringsheim, on the sterns of ferns, 264. Pro-embryo, of Abietinese, 427 ; of Co- niferse, described by Schleiden, 432 ; Mirbel and Spach, 433; develop- ment of Juniperus communis, J. Sa- bina, and Thuja orientalis, 431 ; of mosses, 171, 435 ; differences of, from prothallium of ferns, 174; of Liverworts, 435 ; of Pilularia glo- bulifera, 322 ; of Sphagnum, Schim- per on, 174 ; of Taxus, 430. Prothallium, of Botrychium Lunaria, 307 ; of Equisetacese, develop- ment of, 292 ; male, production of, in Equisetum arvense, and E. pra- tense, 297 ; female, production of, in Equisetum palust re, 298 ; of ferns, 183 ; analogous to leafy plant of mosses, 435 ; observed by Ehrhart, 257 ; sexual organs observed in, by Bischoff, 257 ; adventitious shoots of, 197 ; abortive, continued growth of, 196 ; of Isoetes lacustris, 339 ; of leafy Jungermannise, 84 ; of Mar- silea puhescens, formation and struc- ture of, 326 ; of Ophioglossum, Mettenius on, 315 ; of Pilularia globulifera, and P. minuta, forma- tion of, 322 ; of Salvinia nutans, production of, 329 ; of Selaginella, production of, 392. Prothallus, universality of, in plants, 126. Psilotum triquetrum, growth of stem in, 398. Pteris aquilina, antheridia of, 187; archegonia of, 191 ; development of buds in, 225 ; development of embryo of, 200 ; first frond of, 208 ; arrangement of fronds in, 212 ; production of new fronds in, 221 ; production of fronds in old plants of, 224; germination of, 183; growth of stem- bud in, 211 ; creep- ing stem of, 212 ; structure of stem of, 213. Pteris serrulala, antheridia of, 187. Ptilidium ciliare, development of leaves in, 60 ; ramification of, 64. Racomilrium ericoides, pro-embryo of, 171 ; terminal bud of, 129. Radula complanata, antheridia of, 65, 73; archegonium of, 67; calyptra of, 79 ; development of fruit of, 74, 77, 78, 82 ; germination of, 55 ; cell-multiplication in germ-plant of, 56 ; development of leaves in, 63 ; development of perianth in, 68 ; spores of, 55. Ramification in Aneura, 44 ; in Antho- ceros, 2 ; in Equisetacese, 275 ; iu Jungermanniae, 64 ; Nees von Esen- beck on, 85 ; in Metzgeria furcata, 42 ; in Ortlwtrichum affine, 132 ; in Sphagnum, 137 ; Schimperon, 138. Rebouillia hemispherica, antheridia of, 122; archegonia, 113; calyptra, 113 ; fruit of, 114 ; development of leaves of, 110; vegetative organs of, 102. Receptacles of Marchanlia polymor- phs, air- cavities and stomata of, 117. Rhizocarpeae, Mettenius and Schlei- den on, 335. Rhizome, development of, in Equise- taceae, 304 ; of Equisetum limosum, 278. Riccia glauca, buds of, 48 ; Schmidel, Hedwig, Bischoff, Lindenberg, and Unger, on the fructification of, 97. Riella, antheridia of, 99 ; archegonia of, 99 ; fruit of, 1O0 ; germinal vesicle of, 100 ; spores of, 100. Riella (Duriena) helicophylla, leaf of, 98. Riella Reuleri, mode of growth of, 98 ; leaves of, 98 ; shoots of, 99. Roper on the stem and fronds of Bo- trychium, 309, 310, 311, 312; on the exosporium of Isoetes lacustris, 338. Root-buds in Ophioglossum, 315. Rootlets of Metzgeria fureata, 42 ; development of, in Pellia epiphylla, 23. Roots, adventitious, 203 ; occurrence of in Equisetum, 278 ; production of in Selaginella, 397. Roots, of Aspidium Jilix-mas, 229, 243 ; of germ-plants of Botrychium 504 INDEX. Lunaria, 308 ; of ferns, development of, 203, 205 ; Isoetese, A. Braun's observations ou, 337 ; of Isoetes la- custris, development of, 348, 356, 358, 307 ; of Marattia ciculafolia, development of, 255 ; of Pilularia, production of, 324 ; of Platycenum alcicorne, 253 ; of Pteris aqtdlina, development of, 210, 223; of Sela- ginella, 3 S3. B-upp, on Marckanliapolymorp/ia, 123. Sachs, on chlorophyll-bodies, 147. Salvinia nutans, embryo of, 332 ; pro- thallium of, 329 ; spores of, 328. Sanio, observations on spores of Equi- setacese, 280 ; observations on ab- normal formation of elaters in Equi- setaceae, 291. Sarcoscyphus Funkii, germination of, 54; ramification of prothallium of, 84. Savi, on the fecundation of the macro- spores of Salvinia, 334. Scalariform-cells and vessels of Pteris aquilina, 219, 220. Scales of Aspidium filix-mas-, 242 ; of Isoetes lacustris, 346, 303 ; of Ma- rattia cicutcefolia, 255 ; of Nipho- bolus rupestris, and N. splendens, 249; of Polypodium vidgare, 251. Schacht on Anthoceros, 19 ; on adventi- tious buds in Botrychium, 310; on the formation of the embryo in Coui- ferse, 428 ; on the pollen of Ephedra, 406 ; on the archegonia of ferns, 200; on the spermatozoids of ferns, 199 ; on the development of the spore-mother-cells of ferns, 250 ; on spermatozoids of Pelliaepiphylla, 31. Schimper on the archegonia of mosses, 177 ; on the germination of mosses, 170; on the spermatozoids of mosses, 177 ; on the antheridia of Sphag- num, 177 ; on pitted cells in Sphag- num, 134 ; on the pro-embryo of Sphagnum, 174 ; on ramification in Sphagnum, 138. Schistostega osmundacea, pro-embryo of, 172. Schleiden on buds of Aspidium fllix- nias 245 ; on the formation of the embryo in Coniferae, 428 ; on the pro-embryo of Coniferae, 432 ; on the exosporium of Isoetes lacustris, 338 ; on the sporangia of Isoetes lacustris, 364 ; on the leaves of mosses, 147 ; on the spores of Bhizocarpeae, 335 ; on the anthe- ridia of Sphagnum, 155, 177. Schmidel on the elaters of Aneura mul- tijida, 80 ; on Fegatella conica, 115, 123 ; discovery of spermatozoids in Fossombronia pusilla, 87 ; on Mar- chantia polymorpha, 123; on Preissia commutata, 123 ; on the fructifica- tion of Biccia, 97- Scolopendrium officinarum, Morison's observations on the growth of, from spores, 257. Selaginella, germinatiou of, Mettenius on, 337 ; growth of young plants of, 396 ; production of spores of, 388. Selaginella cordifolia, furcation of stem of, 381. Selaginella denticulata, 374. Selaginella Galeottii, furcation of stem of 381 ; growth of 373. Selaginella Helvetica, 374 ; free deve- lopment of microspores of 394 ; spermatozoids of 395 ; furcation of stem of, 381 ; formation of sporangia in, 385. Selaginella hortensis, growth of, 373 ; macrosporangia of, 387 ; formation of sporangia in, 385 ; furcation of stem of, 381. Selaginella Martensi, 374; marginal papillae of leaves of, 380 ; furcation of stem of, 381. Selaginella viticulosa, 374 ; furcation of stem of, 381. Shoots, adventitious, of Equisetacea;, 277; half-subterranean of Haplomi- irium Hookeri, 64 ; of Jungermannia bicuspidata, 64 ; of Marchantieae, 102 ; adventitious, of Metzgeria furcata 42 ; of Pellia epiphylla, 25 ; Riella Reuteri, 99 ; laterals of Sphagnum, 137; of Targioneae, 102. Sori of ferns, 250. Spach on the pro-embryo of the Coni- ferae, 433. Spermatozoids of Archidium, Thuret on, 109; of Equisetaceae, 294 ; de- scribed by Milde, 306 ; of ferns, 187 — 1S9; discovered by Nageli, 258 ; observations on, by Thuret, 259 ; of Fossombronia pusilla, 67 ; discovered by Schmidel, 87 ; of Frullania dilatala, 67 ; of Funaria hygromelrica,l54i; of Isoetes lacus- INDEX. 505 trjs, 312 ; of Juugermannise, 67 ; Gottsche on, 87 ; of Madotheca pla- typhylla, 67 ; of Marchantia poly- morpha, 121 ; first noticed by Unger, 127; Thuret on, 128; of mosses, Unger on, 176 ; Schimper and Thuret on, 177 ; of Pellia epiphylla, 30; observations on, by Schacht and Thuret, 31 ; production of, by small spores of Pilularia, 323 ; ob- served by Nageli, 335 of Poly iri- dium formosum, 151; of Selaginella Helvetica, 395 ; of Sphagnum, 155 ; of Salviuia nutans, 331. diagnum, antheridia of, 151 ; pitted cells of, 131 ; development of fruit of, 159; development of leaf of, 135 ; ramification of, 137 ; growth of stem of, 129 ; spermatozoids of, 185; terminal bud of, 129. ihagnum acutifolium, leaf of, 143. ihagnum cuspidalum, pro-embryo of, 171. ihagnum cymbifolium, development of fruit of, 159. ihagnum squarrosum, development of fruit of, 159 ; cells in leaves of, 112. lorangia, of Equisetum, formation of, 281 ; of ferns, 256 ; of Isoiites la- custris, formation of, 361 ; Schleiden on, 361; of Pilularia, development of, 318 ; of Selaginella, production of, 385 ; views of Bischoff and von Mold on, 387. tore mother-cells of Aneura multifida, 15 ; of Anthoceros, 11 — 17 ; von Mold on the formation of septa in, 16 ; of Blasia pusilla, 82 ; of Equi- setum, 282 ; of ferns, 256 ; of Fos- sombronia picsilla, 82 ; of Frullania dilatata, 81 ; of Isoiites la custris, 365 ; of Jungermaunia bicuspidala, 78, 79, 81; of mosses, 160; of Pellia epiphylla, 38 ; of Pilularia, 319 ; of liiccia glauca, 96;' of Puella, 100; of Targionia hypo- phylla, 120. )ores of Anthoceros, 13, 17, disper- sion of, IS ; of Equisetacese, deve- lopment of, 2S3, 290 ; Sanio's obser- vations on, 2S6 ; germination of, 291; of ferns, 182, 256; of Fnd- lania dilatata, germination of, 51 ; of Gymnostomum pyriforme, 167 ; of Isoeteae, Mettenius on, 337 ; of Jun- germannia, von Mold on the deve- lopment of, 86 ; observations on the germination of, by Hedwig, Nees von Esenbeck, Bischoff, Gottsche, and Gronland, 83, 81 ; of Jungermannia bicuspidata, germina- tion of, 52 ; of Marsilea pubescens, germination of, 326 ; of mosses, Hedwig on, 175 ; of Pellia epi- phylla, 21 ; . development of, 39 ; their importance in the study of cell-formation, 39 ; irregularities in, 11 ; of Phascum cuspidatum, 161 ; of Pilularia, development of, 319; germination o f large, 321; pro- duction of spermatozoids by small, 323 ; of Radida complanata, 55 ; of Bhizocarpese, Schleiden's opi- nions on, 335; of Puella, 100; of Salvinia natans, 328, 330 ; Met- tenius on, 330 ; production of Sper- matozoids by small, 331 ; of Sela- ginella, production of, 338. Stem, of Anthoceros, 3 ; arrangement of cells in, 1 ; of Aspidium filix-mas, ■ 227 ; of Blasia pusilla, 17 ; of Equisetacese, growth of, 267 ; of Equisetum, structure of, 271 ; of ferns, growth and bifurcation of, 262 — 26l ; Pringsheim and Irmisch on, 264 ; structure of, described by Von Mold, Brogniart, Stengel, 262 ; Karsten and Mettenius, 263 ; of Isoetes lacustris, structure of, 356, 357 ; development of, 361 ; of Mar- chantiese, 110 ; of Orthotrichum affine, 139 ; of Pilularia, 325 ; of Pteris aquilina, growth of, 211 ; cellular hairs of, 212 ; structure of, 213 ; of Selaginella, furcation of, 375, 3S0 ; of Sphagnum, cell-multi- plication in, 130 ; growth of, 129. Stem-bud of Aspidium jiUx-mas, 227 ; of Pteris aquilina, formation of vessels and bast-cells in, 217 Stengel on the stems of ferns, 216. Stigma, so-called, of Mosses, 151. Stipule, of Marattia cicutcefolia, pro- duction of, 254; of Ophioglossum vulgatum, 313; of Selaginella, first observed by R. Midler, 378. Stolons of Nephrolepis, 217. Stomata, of Marchantiepe, 110; of the antheridal discs of Marchantia polymorpha, 121 ; of the receptacle of Marchantia polymorpha, 117. 53 506 INDEX. Struthiopteris germanica, adventitious shoots of, 247; vegetation of, 245. Suspensor of Coniferse, Hartig on, 433. Sympodium of Pteris aquilina, 224, 225. Targionia, 102. Targionia hypophylla, arcliegonia of, 118 ; calyptra of, 119 ; elaters of, 120 ; fruit of, 119 ; development of leaves of, 110; spore-inother-cells of, 120; vegetative organs of, 102. Taxus, corpuscula of, 410 ; develop- ment of endorsperm of, 409 ; fecun- dation of, 422 ; nucleus in, 400. Thuja, corpuscula of, 410; develop- ment of endorsperm in, 410; nucleus of, 400. Thuya occidentalism cell-division in an- thers of, 404. Thuja orientalis^ fecundation of, 424. Thuret, on the spermatozoids of Archi- dium, 169 ; observations on the antheridia of Equisetaceee, 306 ; on the spermatozoids of ferns, 189, 259 ; on Marchantiese and their motile spermatozoids, 128 ; on the spermatozoids of mosses, 177 ; on the spermatozoids of Pellia epi- phylla, 31. Trichocolea tomentella, cell-multiplica- tion in stem of, 56. » Unger, motile spermatozoids first seen in Marchantia by, 127 ; on the spermatozoids of mosses, 176 ; on fructification of Riceia, 97 ; on the antheridia of Sphagnum, 177. Vaginula of mosses, 189. Valentine on the archegonia of mosses, 177 ; on the reproduction of mosses, 178. Vascular-bundles of the stem of Aspi- diumfilix-mas, 228, 229, 230, 231 ; formation of, in stems of Equisetum, 273 ; production of, in Isoiites lacus- tris, 352 ; of stem of Niphobolus, 251 ; of Ophioglossum vulgalum, 314; of the stem of Platycerium alcicorne, 253 ; of the stem of Poly- podium aureum and P. vulyare, 251 ; in the stem of Pteris aquilina, 213 ; in the stipes of fronds of Pteris aquilina, 215 ; arrangement of, in frondless shoots of old plants of Pteris aquilina, 225 ; of Salvinia nutans, 334 ; of stem of Selaginella, 382. Vaucher, observations on the germina- tion of Equisetaceae, 304. Vegetation of Isoetes, compared with that of other vascular cryptogamia, 371. Vessels, formation of, in stem-bud of Pteris aquilina, 217 ; scalariform, of Pteris aquilina, 220. Wigand, on the growth of the second frond in ferns, 207 ; observations on the impregnation of ferns, 259 ; on the roots of ferns, 203 : on the spermatozoids of ferns, 187. PRINTED BY J. E. 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