^'U y M.j^ c/ >}% '' AS122 M3P72 * 3//4rf/l FOR THE PEOPLE FOR EDVCATION FOR SCIENCE LIBRARY OF THE AMERICAN MUSEUM OF NATURAL HISTORY MEMOIRS AND PROCEEDINGS OF THE MANCHESTER LITERARY & PHILOSOPHICAL SOCIETY. [ '" CENTRA' MEMOIRS' Al^tb PROCEEDINGS OF s , THE MANCHESTER LITERARY & PHILOSOPHICAL SOCIETY FOURTH SERIES SECOND VOLUME MANCHESTER 36 GEORGE STREET NOTE. The authors of the several papers contained in this volume are themselves accountable for all the statements and reasonings which they have offered. In these particulars the Society must not be considered as in any way responsible. CONTENTS MEMOIRS. PAOE Incompleteness of Combustion in Gaseous Explosions. By Prof. Harold B. Dixon, F.R.S.,and H. W. Smith, B.8c 2 A Decade of new Hymenoptera. By P. Cameron, F.E.S. Communi- cated by John Boyd, Esq II A New System of Logical Notation. By Joseph John Murphy. Communicated by the Rev. Robert Harley, M,A., F.R.S., Corresponding Member ... ... .. ... ... ... ... 22 Notes on Some of the Peculiar Properties of Glass. By William Thomson, F.R.S.Ed,, F.I.C., F.C.S. 42 On the British Species of Allolrina, with descriptions of other new species of Parasitic Cynipidiz. By P. Cameron. Communicated by John Boyd, Esq 53 On the unification in the measure of time, with special reference to the contest on the initial meridian. By C. Tondini de Quarenghi. Communicated by F. J. Faraday, F.L.S 74 Hytnenoptera Orientalis ; or Contributions to a knowledge of the Hymenoptera of the Oriental Zoological Region. By P. Cameron. Communicated by John Boyd, Esq o I On the equation to the Instantaneous Surface generated by the dissolution of an Isotropic Solid. By James Bottomley, D.Sc. 154 On the Vitrified Cement from an ancient fort. By G. H. Bailey, D.Sc. Ph.D 185 Notes on a form of Plantago viaritima [L.] new to Great Britain : / Piimila (Kjellman). By James Cosmo Melvill, M.A., F.L.S. 189 Colour and its relation to the Structure of Coloured Bodies : being an investigation into the Physical Cause of Colour in natural and artificial bodies and the Nature of the Structure producing it. By Alexander Hodgkinson, M.B., B.Sc. With Coloured Plate. 193 On Leaves found in the cutting for the Manchester Ship Canal, 21 feet under the surface, and on Green Colouring Matter contained therein. By William Thomson, F.R.S. Ed., etc. With Plate 216 PAGE On Sound propagated through an atmosphere, in which the surfaces of constant density are parallel planes, in a direction perpendicular to these planes. By Ralph Holmes, B.A 221 Notes on Seedling Saxifrages grown at Brockhurst from a single scape of Saxifraga Macnahiana. By William Brockbank, F.L.S., F.G.S. 227 On the Green Colouring Matter from Leaves found in one of the Cuttings for the Manchester Ship Canal. By Edward Schunck, Ph.D., F.R.S 231 On an Old Canoe recently found in the Irwell Valley, near Barton, with observations on Pre-Historic Chat Moss. By Mr. Alderman W. H. Bailey. With Two Plates 243 PROCEEDINGS. Bailey Charles, F.L.S.— On the decrease of Entomologists 90 BOTTOMLEY James, D.Sc, B.A., F.C.S.— "Note on the behaviour of Iodine in the presence of Borax." 40 On Smoke Abatement 72 Cameron P. — "On the excessive abundance of Aphis dianthi, Schr., round Manchester in September, 1888." Communicated by John Boyd, Esq 9 Clay Charles, M.D. — "On the results of some calculations with a certain class of figures. " 215 Dawkins, W. Boyd, M.A., F.R.S. &c. — "The Permanence of Oceanic Basins." 36 Faraday, F. J., F.L.S., &c. — "An historical account of the spectro- scopic evidence in support of the hypothesis that oxygen exists in the sun, with special reference to M. Janssen's recent researches on telluric oxygen and aqueous vapour lines and bands." 38 On the Study of Mathematics in the northern counties of England, and particularly in Lancashire 20 On the proposed Paris Conference on the unification of time 153 Gee, W. W. Haldane, B.Sc — "Electrolysis under Pressure." 21 GwYTHER, R. F., M.A. — "An account of Hertz's experiments showing the propagation of electrical vibrations in direct accordance with Maxwell's theory of light as an electro-magnetic phenomenon. " i Holden, Henry, M.Sc.—" Electrolysis under Pressure." 21 PAGE HoDGKiNSON, Alexander, M.B., B.Sc— On the iridescence of chlorate of potash crystals ... ... ... ... ... ... ... 70 On the colour of humming-birds 213 On the physiological phenomena of colour sensation ... 215 On the colours of fish 220 On the luminosity of eyes in the dusk. ... ... ... ... .. 224 Johnson, W. H., B.Sc. — On commercial and laboratory copper 90 Melvill, J. Cosmo, M.A., F.L.S. — On Zisyphimis haliarchus 183 Nasmyth, James, F.R.A.S. — Letter on an accompanying photograph of his original drawing of the solar surface 71 Reynolds, Osborne, M.A., LL.D., F.R.S., President.— Notice of Professor Rudolph Clausius I On the quantity of water passed through the condensers of the " City of New York " Steamship ... 73 On the recent earthquake at Manchester 184 The death of Richard Peacock, M.P 192 Schuster, Arthur, Ph.D., F.R.S., F.R.A.S.— On Lord Rayleigh's colour-mixer ... ... ... ... ... ... ... ... 220 Springer, Alfred, Ph.D. — "On the Fermentation Theories." Com- municated by William Grimshaw, Esq. 236 Williamson, W. C, LL.D., F.R.S. — "The Permanence of Oceanic Basins." 33 The Krakatoa eruption Report ... ... ... ... ... ... 41 General Meetings 33, 73, 90, 226 Annual General Meeting 234 Meetings of the Microscopical and Natural History Section : — Annual ... ... ... ... ... ... ... ... ... 224 Ordinary 8, 38, 70, 89, 183, 213 Meetings of the Physical and Mathematical Section : — Annual 214 Ordinary ... Report of the Council, April, 1889, with Obituary notices of Peacock and Rudolph Clausius Report of the Microscopical and Natural History Section ... Report of the Physical and Mathematical Section List of the Council and Members of the Society ... 20 Lichard ... 252 ... 267 ... 214 ... 270 ERRATA. In Mr. Cameron's paper on Hynienoptera Orientalis. In the penultimate paragraph of the Introduction on p. 92 for Sittaghui read Tittaghur. ,, Ishapue read Ishapore. ,, Serampue read Serampore. ,, Chandauague read Chandanagore. ,, Gusery read Goosery. ,, Port Cauumy read Port Canning. ,, Mussourie read Mussoorie. „ Nischindepue read Nischindipore. ,, North-West Province read North-West Provinces. On p. 138 for Tachytes Virchu read T. vischnu. In Dr. Bottomley's paper on " The Dissolution of an Isotropic Solid " : — Page line 163, I, forCD readQ,T>. 163, 11, for[-^yead[—^y 165, 23, The expression in this line should be multiplied by 2. 166, 2, for dz read dZ. 167, I, for d(p cd^ ^ cdyi ^ ^ dx ^/(S)'-(^)'•^(i)■' Page line 167, 2, for ^-4 cdp dV ^m Page line 167, 3, for ^-'dz ^m MY'^m'^®'"''' v©^(^)^ -(sT 167, 24, forj^read^^ 168, 3, for r2 read c^. 173. 15. fory„-y„^x,x&z.Ay^-x^ + x. 174. IS. for x=x read x = x^. 1 76, 9, for xd read dx. I79> i» f°^ 750 ^^<^ 760. ill^v MEMOIRS AND PROCEEDINGS OF / THE MANCHESTER LITERARY AND PHILOSOPHICAL SOCIETY. Ordinary Meeting, October 2nd, 1888. Professor OsBORNE REYNOLDS, M.A., LL.D., F.R.S., President, in the Chair. Reference was made by the PRESIDENT to the death of Professor Rudolph Clausius of Bonn, elected an honorary member of the Society in 1886, to whom, with Rankine and Sir William Thomson, following Dr. Joule, belonged the honour of developing the dynamical theory of heat. Mr. R. F. GwvTHER, M.A., gave an account of Hertz's experiments, showing the propagation of electrical vibra- tions in direct accordance with Maxwell's theory of light as an electro-magnetic phenomenon. Professor H. B. DixON, F.R.S., read a paper on "Incom- pleteness of Combustion in Gaseous Explosions." Prof. Dixon and Mr. Smith on Incompleteness of Combustion in Gaseous Explosions. By Prof. Harold B. Dixon, F.R.S., and H. W. Smith, B.Sc, Dalton Chemical Scholar, Owens College. (Received October 26th, 1888.) In the course of an investigation, in which we were engaged, on the rate of propagation of gaseous explosions, it was noticed that when a mixture of hydrogen and oxygen, in the proportions in which they combine to form water, was exploded, there remained an explosive residue in addition to the unavoidable slight excess of one or the other gas due to inaccuracy in mixing. The mixture was exploded in a leaden tube 100 metres long and 9 mm. in diameter ; after the explosion the tap at one end was opened, and air allowed to rush in. Air was then pumped in by a bellows, and the other tap was then opened. On applying a light to the out-rushing gases, for the purpose of determining whether the hydrogen or the oxygen was in excess in the original mixture, the gas at first driven out proved to be rich in oxygen — supporting combustion vividly — and then the succeeding gas burnt with a series of sharp cracklings, and finally there was a flash down the tube. From this, it appeared that even in a mixture of hy- drogen and oxygen, containing a slight excess of oxygen, the hydrogen was not completely burnt. If the mixture had contained an excess of hydrogen it might have been reasonably supposed that the explosive residue was made up of the excess of hydrogen and the air admitted after the explosion. This explanation could not be admitted in tiie present instance, as the mixture contained an excess of oxygen. A similar phenomenon was observed when a slight excess of hydrogen was employed, and the residue was swept out of the tube by a stream of carbonic acid gas. Gaseous Explosions. 3 Led by these experiments we began the investigation, an account of which is given in the following paper. Our object was to determine the conditions affecting the amount of this explosive residue — especially the influence of the surface exposed to the exploding gases. Mixtures containing slight excess, ist of hydrogen, and 2nd of oxygen were employed, and in all cases the residues were collected and analysed. The first series of experiments was made with the tube mentioned above, which was 100 metres long and 9 mm. in diameter, the surface exposed to the gases being about 29,000 sq. cm. After each explosion CO2 was admitted at one end of the tube until the pressure was equal to that of the atmosphere, and then 1 litre was driven out and collected over caustic soda solution at the other end of the tube. It was found that the first litre driven out contained practically all the gas left after explosion. The amount of residue varied from 100 to 250 cc, according to the accuracy of the mixture and the amount of nitrogen as impurity in the original gas, and of air in the CO2. We give below the mean results of analysis of a considerable number of residues ; those given under A resulting from a mixture containing an excess of hydrogen, whilst in those given under B and C, the original gas contained oxygen in excess. I. Explosions of Hydrogen and Oxygen. (Capacity of tube 8,100 cc. ; diam. 9 mm. ; internal surface 29,000 sq. cm.). Mean composition of residue : — Average Residue. A. B. c. A— 150 cc. B-160CC. H2 ... CO... ■■■}54-3 29-5 5-1 20-5 5-8 C-220 cc. 0. .. ... 19-4 38-1 327 N2 ... ... 26-3 27-3 41-0 lOO'O Prof. Dixon and Mr. Smith on of original detonating gas unburnt : — Maximum ... ro8 •92 Minimum "69 Mean '88 V07 With regard to the calculation of the amount of unburnt detonating gas, a slightly different method is employed,, according as the original gas contains excess of oxygen or hydrogen. All the residues contain a certain percent- age of nitrogen, part of which is due to inleakage of air,, and to air in the CO2, used for sweeping out the tube, whilst part exists as impurity in the original gas, being chiefly derived from the water in the gas-holder. It is, however^ impossible to determine accurately how much is due to each cause. In calculating the percentage of unburnt detonating gas, a maximum and minimum are taken in the following way. Firstly, assume all the nitrogen was present in the original gas, and calculate all the oxygen as belonging to the unburnt residue. This gives a maximum value for the percentage unburnt. Secondly, assume that all the nitro- gen got in (as air) after the explosion, and from the percentage of oxygen, deduct the amount of oxygen corresponding to the nitrogen (as air). In this way we get a minimum value for the amount of unburnt detonating gas, and the true percentage must lie between these limits. If there is a sufficient excess of oxygen, we get only one value for the unburnt residue, viz., i j^ times the residual h37drogen. It will be observed that each of the residues contains a small percentage of carbonic oxide. Part of this is probably due to the grease used for the taps, and part may be due to hydrocarbons derived from the zinc, used in the preparation of the hydrogen (except in cases where electrolytic gas was used). The carbonic oxide, being a combustible gas, must be taken into account in calculating the residual detonating gas. When there is an Gascons Explosions. c excess of oxygen, the carbonic oxide is liable to get. burnt, and therefore should be considered as a portion of the detonating gas left unburnt. When there is a deficiency of oxygen, the carbonic oxide may be classed with the excess of hydrogen left over, and whether it affects the amount of unburnt detonating gas depends upon the quantity of oxygen remaining. To determine the influence of the amount of surface exposed to the gases, a tube 4 mm. in diameter was next employed. The length was about 170 metres, and the internal surface 25,000 sq. cm. the capacity being 2,750 cc. The method of procedure was the same as before. Under A, in the following table, is given the mean of several analyses of residues from mixtures containing an excess of hydrogen, and under B, the mean result from mixtures containing an excess of oxygen. CO O2 N2 Average Residue % of original detonating gas unburnt : — Max 1-34 2-27 Min -84 1-55 Mean 109 ipi The % unburnt, under A, does not differ much from that obtained with the wider tube. Under B we see a rather larger percentage. In the next tables are given the means •of analyses of residues obtained with a tube 19 mm. in [I. A. B. 46-1 38-6 14-9 12-4 16-3 25-4 227 236 lOO'O loo-o 75 cc. 82 cc. 6 Pkoi'. Dixon and Mr. Smith on diameter (III.), and lastly (IV.), with an iron bomb made out of an ordinary mercury bottle attached to a firing tube. In the latter, there are only about i,6oo sq, cm. of surface exposed for a volume of 3,075 cc. ; that is to say, a surface only iV as great as that exposed in the 4 mm- tube, the capacities being, however, nearly equal. From the analyses it would appear that although the amount of surface exposed to the gases has some influence on the amount unburnt, the influence is not very great, and there- fore it seems improbable that the incompleteness of combustion is due to the cooling action of the surface of the vessel. III. IV. C= 14,000 cc. C = 3,075 CC. d= 19 mm. d = 100 mm. S = 28,000 sq. cm. S: = 1,600 sq. cm. '\verage residue 235 cc. 100 cc. Mean composition of residue :- - H, 44-2 8-2 CO i8-o 1-2 0. 227 31-1 N, I5-I 59-5 loo-o 1000 ^ of detonating gas unburnt : — Max. 1. 1 6 Min. -86 •46 I -01 A number of experiments were made with a mixture of carbonic oxide and oxygen. In the first series of experiments the 9 mm. tube was employed, and in the second series the iron bomb. The mean results are given below. Gaseous Explosions. y Carbonic Oxide and Oxygen. I. II. C = 8, loo cc. C = 3,075 d=g mm. d= 100 mm. S = 29,000 sq. cm. S = 1,600 sq. cm. Average residue 205 cc. 55 cc. Mean composition of residue : — CO 26-0 41-4 H, 17 67 Oi 302 27-1 N2 42-1 24-8 lOO'O loo-o °/^ unburn! : — ro6 Max. i"i7 Min. I -or Mean rog In this case, therefore, we have also about 1% of the original detonating gas left unburnt. The surface here does not appear to have much influence, the percentages unburnt being almost the same, although the surface exposed to the gases was, with the tube, about 3^ sq. cm. for each i cc. of gas burnt, against "5 sq. cm. per i cc. of gas burnt with the bomb. The fact that the incompleteness of combustion is char- acteristic of the explosive wave, and is not observed in the ordinary combustion in a Eudiometer, has an important bearing on the theory proposed by Berthelot, to explain the mode of propagation of the explosive wave, and also seems to confirm the observation made by Mallard and Le Chate- lier, that the rate of cooling in this method of combustion is much more rapid than in the ordinary combustion. Proceedings. \_Microscopical and Natural History Section?^ Ordinary Meeting, October 8th, 1888. Mr. J. Cosmo Melvill, M.A., F.L.S., President of the Section, in the Chair. Mr. J. Arthur Hutton was elected a member of the Section. Mr. Thomas Rogers exhibited a small collection of shells from the neighbourhood of Brisbane, Queensland, Australia. Mr. P. Cameron, F.E.S., communicated some notes on the excessive abundance of Aphis dianthi, in the neigh- bourhood of Manchester in September. He also read a paper describing ten new species of Hymenoptera. Proceedings. Ordinary Meeting, October i6, 1888. Professor OSBORNE Reynolds, M.A., LL.D., F.R.S., President, in the Chair. Mr. John Boyd communicated the following note by Mr. P. Cameron on "The excessive abundance of Aphis dianthi, Schr., round Manchester in September, 1888" : — The extreme abundance of Aphis dianthi in the Man- chester district in September, calls for some remark. My own experience of it has been chiefly in Cheshire, where it occurred in such numbers as to be a perfect nuisance, through •getting into the eyes of travellers. Near Wilmslow I came across a swarm which formed a black cloud. In various places I have noticed them congregating in heaps on plants and walls, so as to blacken the surface on which they rested. In the city they appeared in great swarms on many days. It does not, of course, follow that these were bred in the city or suburbs ; for, when these insects appear in such dense clouds, they are driven about by the wind in all directions and to great distances. Great numbers, too, must have been brought into town on the market garden waggons, on the clothes of passengers, and in other ways. This is not the first occasion on which Aphis dianthi has come forth in swarms. Gilbert White, in one of his letters, alludes to them under the name of " smother flies," and notes them as forming clouds which " almost obscured daylight." In 1834 they spread over Belgium in countless swarms, and Morren, who records their presence, states his belief that they were blown over from England. The species feeds on a very large number of plants. In this country it is always more or less injurious to turnips (hence it was named Aphis rapi by Curtis), potato, cabbage, and mangold. lO P ROC KK DINGS. Frequently it damages garden plants, such as crocus, fuchsia, oleander, Dianthus, &c., &c. In the autumn it has been known to infest the peach and nectarine. Altogether it is known to feed on over sixty plants, not even passing over Atropa belladonna. As for the origin of the Cheshire and Lancashire swarms, my own observations lead me to believe that the vast bulk came from the turnip and mangold fields. At the same time the aphides were un- doubtedly injurious to many garden plants ; and in my own garden they were abundant on the sun flowers. Not unfrequently, when aphides are excessively nume- rous, the lady birds {Coccinelld), which feed on them, also swarm ; but I did not notice any unusual quantity of these useful creatures. A species of ApJiidiits (an ichneumon which destroys aphides) was, however, exceedingly abun- dant. A discussion ensued, during which it was suggested that the phenomenon might have a causal relation with the excessive rainfall of the year, or the early migration of the birds. Mr. John Boyd also communicated a memoir by Mr. P. Cameron on "A decade of new Hymenoptera." A Decade of New Hyvienoptera. A decade of new Hymenoptera. By P. Cameron., F.E.S. Communicated by John Boyd, Esq. (Received October i6th, 1888.) PROCTOTRUPID^. Epyris BREVIPENNIS, Sp. nov. Niger, fere apterus, iiia?idibulis, thorace, genicidis tarsisgiie, rufis. Long. : 6 mm. Hah. Gibraltar (/./. Walker, R.N.) Basal joint of the antennae, curved, longer than the second and third joints united ; the second joint more than three- fourths the length of the third and longer than the fourth. The scape piceous and thickened towards the middle, tapering towards the apex. Head sparsely haired, strongly punc- tured ; the eyes rather small, oblong, and situated a little behind the middle of the head ; the antennal tubercles and mandibles rufous. Prothorax rather broad, longer than broad, obscurely punctured, the sides slightly excavated ; the furrow in the centre deep, complete. Mesonotum finely punctured ; scutellum shining, impunctate ; parapsidal furrows broad and deep, sharply converging posteriorly. Metanotum finely rugose, with a very stout central and two lateral keels in the centre ; the sides keeled ; the apical tubercles blunt, short ; metapleurae shining, longitudinally striolated. Apical segments of abdomen sparsely covered with longish white hair. Legs covered rather closely wath stiff, white hair ; the femora incline to dull rufous on the underside. A rather closely allied species to E. hispanicus, Cam. (Mem. & Proc. Manch. Lit. & Phil. Soc, 1888, p. 169), but that differs from it in having the metathorax black, the apex convex, with the sides projecting into stout teeth ; the 12 Mr. Cameron on a vertical part rugosely punctured ; while in IFrtZ(vr/ the apex is concave, with indistinct lateral tubercles, the perpendicular part not rugosely punctured. The wings hardly reach to the end of the metathorax, and seem to be infuscated in the middle. Betyla, gen. nov. Eyes hairy. Antennae 15-jointed; the basal joint as long as the six following united ; joints 2 — 7 longer than broad ; joint 8 thicker than 7th, nearly longer than broad ; the 9th still thicker ; 9 — 14 much broader than long ; the 15th twice longer than broad; sharply conical. Head forming a broad snout before the antennse ; narrowed before and behind the eyes. Thorax narrow, ant-like, narrowed between the meso- and metathorax ; the former bearing in front a stout tooth on either side, the scutellum not defined ; parapsidal furrows absent ; metanotum without keels or furrows.. Apterous. Abdomen much broader than the thorax, the petiole longer than broad, stout ; the second segment very large, occupying dorsally the greater part of the entire abdomen, and with a distinct margin at its junction with the ventre. The third and fourth segments together the length of the petiole. There are apparently five ventral segments. Petiole on lower side projecting into a large, stout, tooth-like process. Femora clavate. This genus belongs to the Belytidce. The only genus with which it could be confounded is Miota, which has an abdomen with three dorsal segments, of which the second is very much lengthened, and reaches near to the tip. Miota is winged, has only three dorsal segments, and no mention is made of any peculiarity in the form of the thorax ; nor of the absence of ocelli. In fact, Foerster's analytical tables are hardly capable of being used for the identification of the extra European genera ; and so far as I know the type of Miota has never been described. Decade of Nezu Hyinenoptera. 1 3 Betvla fulva, sp. nov. Fiilva ; nitida, iinpunctata, capite abdoniineqite huge albo hivtis; thoracc sparse fitsco hirto. Long. : fere 4 mm. Hab. Greymouth, New Zealand {Helms). The mesothorax is almost glabrous, and much more shining than the rest of the body. The abdomen is haired all over, but not very thickly, and the hair is longish, and whiter towards the apex. The tibiae and tarsi are covered with short, stiff white hairs, the femora more sparsely with longer, soft hair. At the apex the metanotum is convex, projecting into sharp teeth at the sides, and is very closel)- united to the petiole, which is longer and a little narrower than it. Malvina, gen. nov. Metanotum with a spine; parapsidal furrows obsolete; scutellum bifoveate at base ; third, fourth, and fifth abdominal segments subequal. Antennc-e 13-jointed, the club 6-jointed ; the second joint not much shorter than the third, and longer than the fourth. Petiole as long as the hind coxae. Wings reaching to the apex of the petiole, fringed with long hair. The only genus of BelytidcB with a spine on the meta- notum is Oxylabis, Foerster. It differs, however, from the genus here described in having the antennae 15-jointed, and in the parapsidal furrows being distinct. Malvina punctata, sp. nov. Nigra ; fortiter piuictata, sparse pallida hirta ; anten- narmn articulis \ — j pedibusqiie,riifis. ?. Long. 3^' mm. Hab. Greymouth, New Zealand {Helms). The front is shining, impunctate, and broadly keeled ; the occiput clearly margined. Pro- and mesopleurs shining, impunctate, slightly convex and narrowed towards the sternum, metapleurae rugose. Apex of metanotum ending in a spine on either side. Petiole shining, keeled, and 14 Mr. Cameron on a densely haired. Abdomen shining, impunctate, the apical segments pilose. Legs covered sparsely with pale hair ; the coxEE usually black ; sometimes the femora are more or less fuscous ; these are clavate. The joints of the club are broader than long and become gradually broader to the penultimate ; the last narrower than preceding and broadly rounded at the apex. CYNIPID/E. EUCOILA CLARIPENNLS, Sp. IIOV. Nigra, flagello antennaruni pedibusgiie, rufis ; a lis dare hyalinis, nervis pallide fiiscis. $. Long.: 3-5 mm. Hab. Mexico, Vera Cruz : in January. (//. H. Smith), Antennae one half longer than the body, the third and fourth joints nearly equal in length, straight. Pronotum raised into a sharp margin, projecting in the middle above. Scutellar foveae large, wide, and deep ; sides of scutellum rugosely punctured ; the cup horse-shoe shaped, shallow, depressed at the apex. Apex of metanotum semi-perpen- dicular, bicarinate, hardly pilose. Abdomen shorter than the thorax ; compressed, the hair fringe narrow, griseous. EUCOILA MEXICANA, Sp. nov. Nigra, niiida ; pedibus testaceis, alis griseo Jiyalinis, nervis fiiscis. $ . Long. : i y^ mm. Hab. Mexico, Orizaba, in December (//. H. Smith and F. D. Godmaii). Antennae about one-fourth longer than the body ; rather stout ; the third joint thickened and curved, and about one- fourth longer than the fourth. Cup of scutellum distinctly raised ; the centre excavated rather deeply ; the apex projecting ; sides of scutellum finely rugose. Edge of pronotum margined. Abdominal hair fringe slight, dull griseous. Radial cellule twice longer than broad ; the second abscissa straight, three-fourths of the length of the Decade of Neiu Hynienoptera. 1 5 third, which becomes curved towards the apex ; the costal nervure thick. Cubitus complete. The femora are lined with black towards the middle ; the hind tibiae are tinged with fuscous. EUCOILA MARGINICOLLIS, Sp. nov. Nigra, nitida, pedibus rufis ; alls dare hyalinis, nervis pallide fuscis.$ Long.: 1-5 mm. Hah. Mexico, Orizaba, in December {H. H. SniitJi and F. D. Godman). Antennae longer than the body ; the four basal joints dull rufous ; the joints becoming gradually but slightly thicker towards the apex ; the third and fourth joints the longest and thickest ; the third a little longer than the fourth. Pronotum distinctly raised above the mesonotum having a clear broad margin ; the centre slightly depressed. Scutellar cup shallow, oval, the apex flat, not projecting ; sides of scutellum rugose. Abdominal hair fringe slight, fuscous. Radial cellule wide ; the second abscissa of radius about one-fourth shorter than the third, which is roundly curved towards the apex; cubitus completely obsolete. GkONOTOMA GRACILICORNIS, sp. nov. Nigra, nitida ; pedibus rufis ; alis hyalinis, nervis fuscis. Long. \y2 mm. Hah. Mexico, Orizaba, in December (//. H. Smith and F. D. Godman). Antennae slender, longer than the body, becoming but very slightly thickened towards the apex ; the apical three joints shorter than the preceding, but not forming a club ; the third joint slightly curved, and a little longer than the fourth. Pronotum not distinctly margined. Scutellar fovea: large, deep ; the cup without a very distinctly raised margin, i6 Mr. Cameron on a oval, moderately deep. Metapleura: densely covered with Ion"- white hair ; metanotum oblique. Abdomen com- pressed, somewhat lenticular. Wings pilose; the radial cellule twice longer than broad, the third abscissa of the radius about three-fourths longer than the second ; cubitus completely obsolete. In having converging parapsidal furrows, a closed radial cellule and no abdominal hair fringe, this species ao-rees with Gronatoma, but the pleurae are finely aciculated and the metapleurre glabrous. LARRIDyE. PlAGETIA FASCIATIIPENNIS, Sp. nov. Nigra ; ore, antennis (basi et apice flagelli nigris),pro- thorace, tegulis, metapleiiris, petiolo, pedibusqiie, rufotestaceis ; clypeo bidentato ; alls hyalinis,fascia sidistiginatili fusca. $ . Long. 7 mm. Hab. Ceylon {George Lezuis). Head opaque, granular, covered with a short microscopic pile. Eyes at the top separated by about the length of the second and third antennal joints united. Vertex broadly depressed, a wide, but not deep, furrow leading down from the centre of the depression. Front and clypeus covered with short silvery pubescence ; three broad furrows on the former. Clypeus projecting, broadly carinate in the middle ; the apex ending in two large projecting, somewhat triangu- lar, teeth. Tips of mandibles black. Scape of the antennae as long as the following two joints united ; the third three times the. length of the second, and a little longer than the fourth. Thorax opaque, almost granular, covered with a microscopic pile, the apex of metathorax with longish white hair ; the metanotum finely transversely rugose ; the apex irregularly striolated, and with a wide furrow (narrowed at the base and ape.x in the centre). Abdomen shining, the Decade of Neiu Hymenoptera. 17 apex whitish pubescent ; pygidial area rufescent ; margined distinctly at base and apex ; the latter transverse. The apical ventral segment is also margined laterally, and is for the greater part rufescent. Tibiae and tarsi covered with a silvery pile. The base of the four hind coxae, a line on the femora beneath, the greater part of the four hind tibiae behind, the calcaria and the basal two tarsal joints, more or less black. The tibial spines are few in number and pale in colour ; the metatarsal brush is short and whitish ; the apices of the tarsal joints end in stiff white stout, sharply pointed bristles. The longer spur of the hind tibiae is more than three-fourths of the length of the metatarsus. Femoral spine at the base nearly as broad as the total length ; the apex ending in a blunt tooth. Three species oi Piagetia have been described, namely:. P. Ritsemcs, Ritzema, Ent. M. Mag. IX., p. 120. Java. P. odontostoma. Kohl, Verh.z.-b. Ges., Wien, 1883, p. 31., Arabia. P. lVoerde;ii, Kitzema, I.e., p. 121. Congo, South West Africa. P. RitsemcE differs from it in the wings having a cloud which extends from the second cubital cellule to the apex ;; theflagellum of the antennae is entirely black, this being also the case with the metathorax, and the base of the abdomen is not fulvous ; there is also a central longitudinal line on the metanotum, which is absent in fasciatiipennis. The form of the clypeus and spine in hind femora is quite different, but as this may be a sexual character (the $ of Ritsenice is unknown) no great reliance can be placed on these points. P. odontostoma differs in the clypeus having four teeth, and no central keel ; the body is almost entirely black, and the wings are clear hyaline. The African Woerdeni has not the clypeus ending in two large teeth, and differs in the colour of the body, &c. B i8 Mr. Caimkron on a CRABRONID^. RlIOPALUM BUDDHA, Sp. UOV. Nigrum, opacuni, flavo-maailatum ; metathorace riigoso ; alis hyalinis. Long. 9 mm. Hab. Poona, India. {R. C. Wrougkton.) Scape clear yellow, flagellum closely covered with a silvery pubescence. Head opaque, alutaceous, the vertex sparsely pilose ; the antennal depression and clypeus densely covered with silvery hair. Ocelli in a curve ; the clypeus carinate in the middle ; mandibles clear yellow, the tips blackish. Eyes with very course facets. Thorax opaque, alutaceous ; the excavated side of the pronotum coarsely obliquely striolated ; the metathorax obliquely rugosely punctured, sparsely covered with a silvery pile, especially thick and close on the pleuree ; two broad lines on the pronotum, two below the tegulse, and two on the scutellum, clear yellow ; tegulae piceous. Basal part of the petiole shining, covered with long white hair, the apial part opaque. The rest of abdomen almost opaque, with a plumbeous hue ; the sides and apex covered with a white pubescence ; an interrupted band on the base of the third segment, and a short lateral band on the succeeding segments, clear yellow. Legs covered with long white soft hair ; the apex of cox«, the trochanters beneath, a broad band on the lower side of the four anterior femora, and the tibiae and tarsi, yellow ; there is a black line behind on the tibiae, and the tarsi are reddish towards the apex. The North Indian RJiapalum flavopictinuni. Smith, differs from the present species in having " an impressed oblique channel running down from each of the posterior ocelli," the first scutellum and the petiole are yellow ; there is " an enclosed shining subcordate space at the base of the metathorax, which has a longitudinal impressed line from the base to the apex," &c. Decade of Nezv Hymenopteva. 19 ANTHOPHILA. Stelis JAPONICA, Sp. nov. Niger, abdoinine rufo, basi niger ; alls violaceis, basi fere hyalinis ; apice scutelli excisa. Long, fere 12 mm. Hab. Japan. {^George Lezvis). Scape sparsely covered with pale hair, the flagellum microscopically pilose ; the tip obscure rufous. Head rugosely punctured ; the sides of the face thickly covered with long white hair ; the vertex and mandibles more sparsely haired ; mandibles rugosely punctured, but not so coarsely as the head, the apex shining, impunctate. Thorax rugosely punctured ; the scutellum with larger punctures than the mesonotum ; shortly pilose ; the metanotum covered with long white hair. Mesonotum with a distinct furrow down the centre. Scutellum with the apex pro- jecting over the metathorax, margined, with a slight but distinct waved incision ; at the base there is a deep curved furrow in the middle. Abdomen shining ; punctured, rugosely punctured towards the apex ; the segments im- punctate at their junction, and depressed at base and apex ; the apial dorsal segment with a distinct raised margin and slightly incised in the middle. The femora coarsely punctured, closely covered with pale to blackish hair ; the tarsi thickly covered with fulvous hair on the lower side ; and sparsely with pale hair above ; calcaria brownish. The late Mr. F. Smith records {Trans. Ent. Sac, 1873? p. 204) Stelis abdominalis, a species described by himself from Celebes {Proc. Liin. Soc, 1858, p. 7), from Japan. It is of course possible that he may have had the true Stelis abdominalis from Japan, but it appears to me that the species I have just described cannot be abdominalis, in as much as the latter differs from it in several respects ; namely, in being nearly two lines smaller ; in the abdomen being entirely ferrugineous, in the " posterior margin of the scutellum being rounded," and the wings are uniformly coloured. 20 Proceedings. {^PJiysical and Mathematical Section.'] Ordinary Meeting, October 24th, 1888. Dr. James Bottomley in the Chair. Mr. Faraday read extracts from a letter from George Harvey, F.R.S.L. & E., communicated to the British Associa- tion, at its first meeting fifty-seven years ago, on " the very remarkable circumstance of the geometrical analysis of the ancients having been cultivated with eminent success in the northern counties of England, and particularly in Lancashire." So far as Mr. Harvey was aware, the true cause of this singular phenomenon of men in humble life, surrounded by conditions which might have been ex- pected to develope a taste for exclusively mechanical combinations, becoming familiar with Porisms and Loci, Sections of Ratio and Space, Inclinations and Tangencies, subjects confined amongst the ancients to the very greatest minds, was not known. Mr. Faraday suggested that the Section should endeavour to collect information with a view to the full historical elucidation of the phenomenon. Men in advanced years, who might be able to furnish information, are constantly passing away, and as their knowledge on the subject is unrecorded, it is lost. Mr. Faraday urged that a circular letter should be issued, asking for information, and that the materials thus collected should be arranged by a committee, or some one mathematician nominated by the Section, and presented as a memoir to the parent society. Dr. Bottomley made some remarks on a problem of maxima and minima values. Proceedings. 21 Ordinary Meeting, October 30th, 1888. Professor OSBORNE REYNOLDS, M.A., LL.D., F.R.S., President, in the Chair. A paper on " A new system of Logical Notation," by Mr. J. J. Murphy, communicated by the Rev. Robert Harley, M.A., F.R.S., was read. Mr. W. W. H ALDAN E Gee, B.Sc, gave an account of some experiments that he, in conjunction with Mr. Henry Holden, M.Sc, had made on " Electrolysis under Pressure." The experiments were begun with the view, firstly, of ascertaining the influence of high pressures on electrolytic polarisation, and secondly of designing a method whereby high pressures could be readily produced by means of electrolysis. The experiments were at first conducted in sealed glass tubes in which dilute sulphuric acid was electrolysed, the electrodes used consisting of platinum. As the evolved oxygen and hydrogen gases accumulated, the pressure gradually increased up to the explosion of the tubes, which took place generally at pressures between 50 and 100 atmospheres. Under these conditions the polarisa- tion was found to be very little affected. On attempting to obtain pressures as high as 500 — 600 atmospheres by use of a very strong gjt7z metal* cylinder, the authors encountered the diflficulty arising from the violent explosive combination of the mixed gases. Accordingly, in the latter experiments the pressure was produced by means of a hydrostatic pump, and dangerous accumulations of the mixed gases were thus prevented. Determinations of the polarisation with this apparatus are as yet incomplete, but they show, so far as they have been conducted, that the influence of pressure on polarisation is but small. *A.s the apparatus was in the first instance designed to study some magnetic effects under pressure, which the late Prof. Balfour Stewart wished the authors to examine, the cylinder was constructed of gun-metal instead ot steel. Mr. Murpiiv on a A New System of Logical Notation. By Joseph John Murphy.— Communicated by the Rev. Robert Harley, M.A., F.R.S., Corresponding Member. {Received October .23rd, 1888.) In the present state of the science, no apology is needed for offering a new system of logical notation. The use of notation in logic is not to work problems, but to illustrate principles ; and for this purpose the more systems of notation we have the better, so long as they are not absurd, and not mere reproductions of other systems. The chief feature of the notation now proposed is that the signification of all the literal symbols is purely qualita- tive, unless they are expressly quantified ; so that x does not mean "all .r" or " every ;r," but only "some .r" or " an;t'." Consequently the equation x=y means "some x (or some one x) is j'," provided that both x and y are the names of things having real existence : — if either is non-existent, the proposition has no significance. For all, Boole's symbol i is used ; consequently \x is the expression for " all (or every) x " ; and " all x is y " is written ia"=_y. The inverse of this is given by transposing the coefficient of quantity and assigning to it a negative index, when we get that is to say "only y is x" or "nothing but y is x." The expression IX = i~V would mean " all x is nothing but j," and would be true, Nciv System of Logical Notation. 23 but redundant in this place, though we shall find occasion for it further on. The form i.r = jy asserts the equivalence of x and y, and is Sir William Hamilton's equation " all x is all j/," which he regards as the fundamental form of proposition. A possible expression for equivalence in this notation would be \°x=y, or jc= i*'_y. Contraposition is expressed with equal facility, by changing the signs of the terms and transposing the co- efficient without change of index : — thus, all the following four forms of proposition are equivalents of each other. The inverses are one above the other, and the contrapositives in the same line — ix=^y. iy = x. 1 -Ij; = X. i-'^x^-y. These are in language : — All X is y. All not 7 is not x. Only y is x. Only not x is not y. It will be noticed that the equation 1-1=1, which is true in arithmetic, is not generally true here. The most important application of this notation is to the " logic of relatives," that is to say the theory of pro- positions containing terms which signify relations. In what follows, "absolute terms" or the terms between which relations subsist — the terms of the old logic — are expressed by Roman capitals, and relative terms by Italic capitals ; and the corresponding negatives are expressed by the corresponding small letters, as in De Morgan's notation. " Of" is expressed by the sign of multiplication ; thus, let A and B be the names of individuals, and let R mean the relation of teacher, then A = i?xB 24 Mr. Murphy on a will mean that A is a teacher of B ; or let B mean boys, then its meaning will be that A is a teacher of a boy or boys. According to Boole's plan of indicating the co- existence of attributes by the juxtaposition of their literal symbols, 7?B means a teacher who is a boy. The conversion of such a proposition as the above is effected by transposing the relative term with change of index, when, if both A and B are the names of individuals, the transposed form B = i?-ix A means that B is a pupil of A. Let A : B mean the relation of A to B, then the following four propositions are mutually equivalent ; A:B = 7? B:A = i2-^ A = 7?xB B = i?-A. The same is true if i? be a numerical ratio, and A:B means the ratio of A to B. In converting a compound relative, the order of the terms is reversed, thus {R X S)-^ - S-^ X R~^. For instance : if R means husband and 5 daughter, will be the symbol for son-in-law, and its converse S-^ X i?-i for father or mother-in-law. This rule for conversion is well known, but we have to show that it is true of our coefficients of quantity as well as of symbols of relation. If A and B are individuals as before, and R means teacher, then " A is the only teacher of B " (or, as it might be expressed, logically though not quite grammatically, " A is all the teacher of B ") will be written in symbols A=ii?xB and the converse of this is B = A'-ix i-iA New System of Logical Notation. 25 that is to say " B is a pupil of none but A," or " of A only," Let 5 mean child, then will mean " A is a teacher of all the children of B," and its converse B = ^'-ix i-»^x A will mean " B is the parent of none but pupils of A." Thus I means "all," or "only" with an adjective sense:— i~^ means " none but," or " only " with an adverbial sense. The simplest forms of this kind occur when A and B are individuals. When they are classes — if for instance the A's are the teachers and the B's the pupils of a particular school — the proposition A = i2xB asserts only that " some A's teach B's," and is a partial proposition. In the present essay, nothing more is said on the theory of partial propositions. The proposition iA = RxB is singly total ; it asserts that " all A's teach B's," or, what is better English, "every A teaches a B or B's." The proposition iA=/?x iB asserts that " every A teaches every B," and is doubly total. A doubly total proposition is defined in the system here expounded as one where the two terms A and B are both quantified by the coefficient i or i~\ In a singly total proposition only one of them is so quantified ; in a partial proposition, neither. A doubly total proposition, however, as De Morgan has remarked,* is one proposition, not the resultant of two propositions. " Every A teaches every B," ' " On Ihe syllogism, No. IV., and on the logic of relations." — From the transactions of the Cambridge Philosophical Society, Vol. X. Part II, 26 Mr. Murphy on a and " every B learns from every A," which is thus expressed in our notation iA = i?x iB, iB = i?-'x lA is manifestly only one proposition in two equivalent and converse forms. Its doubly total character is visible to the eye as printed above, but this is not so under all its transfor- mations. It may be stated in the form «= ir X B i.e. " not-As are the only not-teachers of Bs ; " but this again is shown to be doubly total by writing below it the equivalent form i.e., " not = Bs are the only not-pupils of As." De Morgan, in the paper already quoted, states three elementary forms of proposition containing a single relative term. These are, when stated in our notation and with our examples : — iA = i?xB, iA = ^xiB, iA = i2x i-^B, that is to say : — Every A teaches a B, Every A teaches every B, Every A teaches none but Bs. But as Prof Peirce has shown,* the symmetry of the system requires a fourth form, which in our notation is thus sup- plied. A teacher of every B is necessarily a not-teacher of none but not-Bs ; and the converse is also true. This is expressed by the equation ii?x iB = irx i-V;; *"0n the Algebra of Logic," by C. S. Peirce, reprinted from the Avc\enc7i.n /oiivjial of Mathematics, Vol. III. N'ezu System of Logical Notation. 27 Consequently, we may write the second and third of the above three forms thus : — iA = i?x iB, -^-xi-V;, iA = ^x i-iB, = ry. lb. The fourth form, obviously, ought to be related to the third as the first to the second ; so that the completed system is constituted by the following four propositions, whereof two are singly and two doubly total. A = i?xB, I A That is to say^, Every A is a teacher of some Bs. Kvery A is a not-teacher of some not-Bs. iA = ^=iB, = ;' X i~^b, iA = Iix i-^B, = rx lb. Every A is a teacher of ever)^ B, and a not-teacher of none but not-Bs. Every A is a teacher of none but Bs, and a not-teacher of all not-Bs. The two forms of proposition iA=Sx iB, ma}' be called the complements of each other, or comple- mentary to each other. Their equivalence is self-evident ; nevertheless it is worth while to show it symbolically. iA = J?xiB becomes by conversion iB = i?-ix lA, which becomes by contraposition and inversion 1-1/' = ^"^ X I A, and this again by conversion iA = ?- X i~^^. 28 Mr. Murphy on a It is to be observed that, somewhat as in the common logic a total proposition, such as " every A is B," contradicts and is contradicted by a corresponding partial proposition, such as " some A's are not B " ; so that one of the pair must be true and the other false, — so in the logic of relative terms the same relation of contradiction subsists between a doubly total proposition such as " every A is a teacher of every B " and a singly total proposition, such as " every A is a not- teacher of some B." The proposition iA = i?x iB admits of the following equivalent forms. It will be observed that they arrange themselves in pairs of converses. iA = i2xiB iB = ;?-^xiA i~-'« = /'xB i~-'(^ = r~^A iA = /-x i"^^ iB = ?-"^xi"^« a= i^-x B h= ir~^ X A .iArxB = o iBr^'^ X A = o lAR X i-^b = o iBR~'^ X i-^a = 0 All that has been yet stated is equally true, whether the relation is transitive or not. A transitive relation is such a one that if A = 7? X B and B = A^C, then A = i^C, or more briefly RxR=R, ox R^ = R. This is the algebraic expression of the common " syllogism in Barbara." But it expresses nothing except the transi- tiveness of the relation, and is not restricted to relations of identity and co-existence. As De Morgan says in the paper already quoted, " The law which governs every possible case (of Syllogism) ... is this : — Any relation of X to F, compounded with any relation of Y to Z, gives a relation of X to Z." The following is a valid syllogism : — " Abraham was the father of Isaac ; Isaac was the father of Jacob ; therefore Abraham was the grandfather of Jacob." N'ew System of Logical N'otatioii. The notation explained in the present paper is appro- priate to a set of propositions stated by De Morgan in the paper ah'eady quoted, but without detailed demonstration. The present writer, trying to improve on De Morgan, is but a dwarf on a giant's shoulders, or rather a dwarf with his feet on the shoulders of two giants, De Morgan and Boole ; but it may be maintained with much plausibility that giants were made in order to carry dwarfs ; and I think it will be found that, for the present purposes at least, my notation is clearer, less arbitrary, and more appropriate than De Morgans. The theorems are as follows ; — they arrange themselves in pairs of converses. Every ancestor is an ancestor Every descendant is a des- of all descendants (of his descendants),and adescen- dant of none but their an- cestors ; a non-ancestor of none but their non-descen- dants, and a non-descen- dant of all their non- ancestors. cendant of all ancestors (of his ancestors), and an ancestor of none but their descendants ; a non-des- cendant of none but their non-ancestors, and a non- ancestor of all their non- descendants. Every non-ancestor is a non- ancestor of all ancestors, and an ancestor of none but non-ancestors. Every non-desce4idant isa non- descendant of all descen- dants, and a descendant of none but non-descendants. Writing ancestors E, and descendants conversely E"'^ ; non- ancestor e, and non-descendant conversely c~'^ ; these theorems are thus written in our notation : — I. iE = Ex iE-\ 2. = E-'xi-'E, 3- = ex i-h-\ 4- = 6"^ X IC, 5- \.e = ey. \E. 6. ^Exy-h' lE- — E X I lE. -1 iE-\ : i~'e 30 Mr. Murphy tm a These arc very simple, and are self-evident as soon as understood, yet very unfamiliar; they are like no generally recognised logical forms. They are, however, easily de- ducible from the property of transitivcncss, by application of the principles already stated. It will be observed that the two sets of converse pro- positions are identical in their formal properties, differing only in the indices being reversed. It will consequently be necessary to give the demonstrations of those of the first column only. Proposition i is proved by combining the definition of a relative term with that of transitiveness. It belongs to the definition of any possible relative, that it stands in the specified relation to all its correlatives. Thus any ancestor E is ancestor of all his own descendants ; which is expressed in our notation by E' = Ex lE-^xE' ; combining this with iE^E = E, we get iEy.E' = Ex lE-'x E\ that is to say every ancestor of E' is ancestor of all the descendants of E' ; or, more briefly, iE = ExiE-\ which asserts that every ancestor (of any man) is an ancestor of all descendants (of that man). Proposition 2 is directly derived from iExE = E, which may be written iExE=i-'E, whence by transposition iE = E-'xi-'E. Nexv System of Logical Notation. 31 Propositions 3 and 4 are the complements of i and 2 respectively. Proposition 5 is obtained by the contraposition of for, as we have seen above, the negative oi Ex E — ancestor oi any ancestor — is ^x \E — non-ancestor oi every ancestor ; so that the contra-position of the above equation gives \e = e y. \E. And Proposition 6 \c = E y. i~^e is the complement of proposition 5, We have worked these out with De Morgan's examples, derived from the relation of ancestor and descendant. But they are true of any transitive relation whatever, such as before and after, and cause and effect (if we so define cause that a cause of the cause is a cause of the effect) ; and among others, of the relation of whole and part, which is the fundamental relation of the common logic when the terms are interpreted in extension ; so that if E is taken to mean the relation of a part to the whole, ExE^E, means that a part of a part is a part of the whole ; or, as I propose to express it, an enclosure of an enclosure is an enclosure ; and conversely E~^xE-' = E-\ or, an includent of an includent is an includent. Then e and e~'^ will mean respectively non-enclosure and non-includcnt ; and the expressions A = EB, B = E-A, A = ^B. B = ^-^A, will mean respectively A is (included in) B. B includes A. Some A is not (included in) B. B does not include all A. 32 A New System of Logical Notation. Consequently, all Do Morgan's theorems, as stated above, admit of interpretations in the common logic. The old logic, as perfected by the schoolmen and revived by Whately, appeared to be a complete science, though lying in a very narrow compass. But, as Mill remarks, quoting from some unnamed writer, " on all great subjects much remains to be said " ; and the science of logic is no exception to this. The old, or common logic, is only one corner of a vast and probably infinite field. Proceedings. General Meeting, November 13th, 1888. Professor ARTHUR SCHUSTER, F.R.S., Vice-President, in the Chair. Dr. G. H. Bailey, of Owens College, and Mr. A. C. Adams, of the Hulme Grammar School, were elected ordinary members. Ordinary Meeting, November 13th, 1888. Professor ARTHUR SCHUSTER, F.R.S., Vice-President, in the Chair. Professor W. C. WILLIAMSON, LL.D., F.R.S., opened a discussion on " The Permanence of Oceanic Basins," by pointing out the fundamental ideas of some modern geolo- gists, viz., that our large oceanic areas had been much like what they now are, throughout all geological times ; that our continents were chiefly built up by the accumulation of shore deposits, formed in what were virtually shallow Waters. He was not prepared to accept these as postulates. In the first instance there could be no doubt that the hills and hollows of the earth's surface were primarily the result of the cooling of its crust, and as a result of that cooling,, shrinkage in the size of the sphere : not being elastic, such shrinkage must have produced ridges and furrows on various, scales of magnitude. These changes, being accompanied by a corresponding reduction of the temperature of the earth's atmosphere, in which much heated vapour must have been held in suspension, would be followed by the C 34 Proceedings. deposition of water on the earth's surface, which, flowing down to the lowest levels, would form streams, lakes, and seas ; and these, by their erosive action, would produce the earliest sedimentary deposits, — resting upon the hollow depressions of the hardening crust. There is no reason to suppose that these agencies did not operate in varying degrees on every part of the globe. But further. Some geologists believe that the thirty thousand feet of Archaian Laurentian rocks in Canada, and the smaller layers of rocks of apparently the same age in the Hebrides, represent the cooled and hardened crust to which reference has been made ; in other words, that these never were aqueous deposits, like the more modern strata occurring everywhere on the Continent. In all probability we can now identify no part of the ancient and primeval crust. Whatever it was, it has most probably been melted and re-melted by the subterranean heat which has also fused the older strati- fied beds ; the primitive line of junction between the two being thus wholly obliterated. The contraction of the earth's crust, due to the causes already referred to, has probably not entirely ceased even now. The marvellous inflections of the contorted strata of the Alleghanies and of the Alps, affecting Cretaceous and Oolitic rocks, have in all probability been due to similar agencies, causing lateral pressure ; we find that these disturbing forces have operated more or less throughout every portion of what is now dry land, all of which has been more or less frequently under water ; this has been the case with even the mountainous parts that now rise thirty thousand feet above the sea-level from which they have been uplifted ; hence it is difficult to believe that whilst such changes, due to cosmical causes, were taking place on the great continents, the corresponding areas now occupied by our largest oceans were resting in a state of undisturbed tranquillity. Dr. Williamson said it seemed to him that Proceedings. 35 whilst two-fifths of the globe were thus being alternately raised and depressed, the remaining three-fifths must have been similarly affected ; the deepest seas thus finally balancing the loftiest elevations, and producing the equi- librium of the earth's crust which we now observe. But further. In the countless ages that have passed away since the commencement of the earth's consolidation, aqueous rocks, many miles in vertical thickness, have been deposited. These rocks contain the remains of the successive forms of life that have tenanted both land and sea during these successive epochs. According to the modern theory under discussion, if these great oceans were then such as they are now, representative strata corresponding to the now known vertical series seen on the land must underlie the present ocean beds. The oceans under which the known strata were formed must have opened into these larger and supposed persistent ones ; and though accumulations may have taken place in the latter more slowly than elsewhere, they cannot have been absent. In like manner organic remains must exist in them. How far they became sufficiently shallow to be the home of our terrestrial plants and shore- loving animals may be a question. But just as our modern sharks and huge Cetaceans now traverse the deepest oceans, so the huge Saurians and primeval Cephalopods must have done the same. In like manner the innumerable Foraminifera, which flourish chiefly, if not wholly, near the surface of the sea, exist independent of depth. We know that they lived in primeval time, and doubtless under the same conditions as now. We have proof in the Nummulitic beds, which in some places accumulated to a thickness of several thousand feet, that such was the case, just as the Foraminiferous ooze, or that which is a Foraminiferous residuum, can now be found in most parts of our deep oceans. These few fundamental facts suggest that, whilst lofty mountains and seas of corresponding depths may, and probably did, always 36 rROCEEDINGS. exist during the past geological epochs— it does not follow that the one always stood and the other flowed where they now do. In the case of the former we know that this was not the case. The recent periods at which the Alps, the Andes, and the Himalayas were upraised is now well known. It is not impossible that similar mountain ranges may have sunk into and now repose in the undu- lating depths of the Pacific Ocean. Prof Boyd Dawkins held that the doctrine of the permanence of oceanic areas is only true in a very restricted sense, and as applying to such deep areas as those over 4,000 fathoms north of the Island of St. Thomas in the North Atlantic, and off the coast of Japan in the North Pacific. As the surface of the cooling globe followed the contracting nucleus it must have been thrown into folds, in which the re-entering folds would be the primeval oceans,, and the salient folds the land. And this folding of the surface would only be intensified along the old lines by a still further shrinkage of the nucleus. From these a priori considerations he held that the main centres of the land and the sea had been where they are now through all geo- logical time. The evidence of a considerable change in the relations of land to sea is proved both by the marine soundings and the history of the stratified rocks. The soundings made by the "Dacia," in 1883, off the mouth of the Congo, reveal the existence of a vast cailon plunging from the 100 fathom line into depths greater than the i,ooa fathom line {see Joiirn. Soc. Telegr. Engineers XVI., p. 479). It is a submerged canon of the same order as that of the Colorado river, and has been cut by the river Congo at a time when the West Coast of Africa in that district stood more than 6,000 feet above its present level. This is merely one out of a vast number of cases which might be cited in proof that the submarine contours, to a depth of 1,000 fathoms, arc due to the operation of sub-aerial agencies, by Proceedings. 37 which the hills, and valleys, and ravines now submerged have been carved out of the rock. On the other hand, the witness of the rocks practically amounts to this — that there are no deposits now forming dry land which could not have been formed in depths of i ,ooo fathoms. Most of these have been accumulated in shallow water close to the ancient land. It is to be remarked also that the ancient land on the margins of which the stratified rocks were laid down in the northern hemisphere is the polar continent which Prof Dawkins has termed Archaia, now represented by the Archaian rocks of Labrador and Canada, Greenland, Scandi- navia, and the western highlands of Scotland, and that this has been land from the close of the Cambrian age to the present time. The impression left on his mind by these facts is that the great depths of the sea have probably been where they are now from the very beginning, and that the central nucleus of the continents has also been in existence also from the beginning. It may also be noted, as Agassiz and others have observed, that the low temperature of the ocean at great depths would lower the temperature of the rock on which they rest, and therefore tend to stereotype the oceanic depths.* * At the depths of 4,000 fathoms the temperature is a little above freezing, .at a depth of 24,000 feet the temperature of the roclc is about 422" Fahr. 38 Proceedincs. [Microscopical and Nixtural History Section?^ Ordinary Meeting, November 19, 1888. Mr. J. Cosmo Melyill, M.A., President of the Section, in the Chair. Mr. Theo. Sington exhibited an abnormal growth^ or concretion of some hard substance, found outside the bowels of a hen. Mr. P. Cameron, F.E.S., read a paper "On the British species oi Allotrincs, with descriptions of other new species of parasitic Cynipid(zr Dr. Alex. Hodgkinson showed a new form of electric lamp, and explained the diffraction spectra, and the advan- tage of parallel rays of light in microscopical research. Mr. E. Pyemont Collett exhibited a specimen of Trifolinin siiffocahnn from the sandy sea shore at Hastings, Ordinary Meeting, November 27th, 1888. Professor OsBORNE Reynolds, M.A., LL.D., F.R.S., . President, in the Chair. Mr. F. J. Faraday, F.L.S., gave " An historical account of the spectroscopic evidence in support of the hypothesis that oxygen exists in the sun, with special reference to M. Janssen's recent researches on telluric oxygen and aqueous vapour lines and bands," in the course of which he pointed out that the two absorption spectra of Janssen, obtained with oxygen in long tubes at different pressures, Proceedings. 39 added to the four luminous spectra obtained by various spectroscopists at different temperatures and pressures, apparently made a total of six spectra of this one gas. Janssen states that the two absorption spectra are pro- ducible separately and independently, one being the line spectrum in the A, B, and a region, that is, in the red and orange-red, and the other a spectrum of bands in the red, orange-green, and blue. The intensity of the former spectrum varies simply with the product of the thickness of gas traversed by the light, and the density ; whereas the intensity of the band spectrum varies according to the thickness and the square of the density. From the fact that the assumed corresponding dark lines and bands observed in the solar spectrum seemed to obey these laws, when examined from the Grands Mulcts station on Mont Blanc, at an altitude of 10,000 feet, the bands being absent and the lines weakened proportionately, Janssen infers that their presence and relatively greater intensity in the solar spectrum when observed at lower levels are undoubtedly due to the greater thickness and density of the atmospheric oxygen traversed, and hence that they are telluric lines and bands and in no way indicative of the existence of solar oxygen. Referring to the statement that Janssen's absorption bands occur in the red, orange-green, and blue, Mr. Faraday pointed out that Plucker's bright oxygen spectrum, which has been called the " compound line " spectrum, of which a corresponding reversal spectrum has been, it is believed, identified in the solar spectrum, occurs in the red, green, and blue. Professor Henry Draper's supposed bright band solar oxygen spectrum was photographed in the blue, and there also are the dark absorption lines by which these bright bands were subse- quently found to be traversed, and which Professor J. C. Draper suggested might be the reversal lines of oxygen. Finally in the red and orange-green the absorption lines 40 Proceedings. •due to the presence of aqueous vapour are most abundant, and with regard to these lines it must be noted that Janssen's observations on the Grands Mulets were made under exceptionally favourable conditions, the air being remarkably dry and the sky unusually clear. For all these reasons Mr. Faraday suggested that it would be interesting to test the spectroscopic evidence of the existence of oxygen in the sun hitherto advanced, by means of the photographs •of what might be spoken of as the purified solar spectrum which M. Janssen stated that he had obtained at the Grands Mulets. Ordinary Meeting, December ii, 1888. Professor OSBORNE REYNOLDS, M.A., LL.D., F.R.S., President, in the Chair. Dr. James Bottomley read the following "Note on the behaviour of Iodine in the presence of Borax" : — In the journal of the Chemical Society for this month there is an abstract of a paper on Boric acid by P. Georgievic (/• for Chem. [2], 38, 11 8- 120). The paper treats of the position of boron in the classification of the elements. In reference to the acid character of boracic acid it is stated in the abstract that boric acid will not liberate iodine from a mixture of potassium iodide and iodate or nitrite. Also that boric acid is liberated from borax by the action of iodine, sodium iodide and iodate being formed. Some years since I read before this Society a Note entitled "On a case of reversed chemical action" {Proceedings Lit. and Phil. Soc., Vol. XIV., p. 65), treating of the action of iodine on a solution of borax ; my experience was as fol- lows : A solution of borax dissolved iodine, formine: sodic Proceedings. 41 iodide and iodate ; but on concentrating the solution the reversed action took place, free iodine being formed. Also, on the addition of sodium iodate to a boiling solution of sodium iodide and boracic acid, iodine was set free. Prof W. C. Williamson, F.R.S., referred to the recently published report of the Royal Society Committee on the Krakatoa eruption, and a discussion on the meaning of the term "smoke" in the report ensued. Mr. William Thomson, F.R.S.E., F.C.S., read a paper •on "The crystalline structure developed on ordinary glass by the solvent action of fluorine compounds, with notes on Prince Rupert's drops." Mr. P. Cameron read a paper on "The British species of Allotrincs with descriptions of other new species of parasitic CynipidcB." 42 Mr. W. Thomson on the Notes on Some of the Peculiar Properties of Glass. By William Thomson, F. R.S.Ed., F.I.C., F.C.S. (Received February 2.2nd, i88g.) I. — On the Crystalline Forms produced on Glass by the action on it of Hydrofluoric Acid and the Acid Salts of the Alkali Fluorides. At the Southport Meeting of the* British Association (1883) I read a paper on this subject, and there shewed pieces of glass on which very distinct hexagonal pyramids, cubical, and other crystalline forms had been produced by the action of solutions of the acid fluorides of potassium, sodium, and ammonium, and anhydrous hydrofluoric acid on the glass. Different crystals are produced on different kinds of glass, depending on whether it contains potash, soda, lime, or other base. Tessie de Mothay and Marechal examined these crystals and mention that they are com- posed of the fluorides of calcium and lead, by the separation of which the surface is rendered more opaque. F. Reinitzer in a paper on the same subject, 1886 {Dingl. Polyt. f. 262, pp. 312-320) gives sketches of the same crystals, and offers the explanation that they are the silico-fluorides of calcium sodium or potassium. The Rev. Professor T. G. Bonney examined my speci- mens, and, whilst he would not venture on any distinct theory, suggested that they might possibly be due to the crystallization of free silica produced by the action of the fluorides on the glass. Professor Bonney microscopically examined them, and both he and I failed by the ordinary means to find that they polarized light, although they were sufficiently large to be seen by an ordinary pocket lens. Peculiar Properties of Glass. 43 Both Professor Bonney and Professor Zirkel, with whom I also conversed respecting them, were of opinion that if they did not polarize light, and were not of the regular system, they could not be regarded as crystals, however perfect in form they might be. Lately, I have given more attention to this subject, and by the aid of Dr. Alexander Hodgkinson, of Manchester, I have been able to demonstrate that these crystalline forms actually do polarize light. The most distinct effect pro- duced on them was by the employment of circularly polarized light. When the microscope stage was rotated with one of these crystals in focus, the regular changing of colours was very distinctly seen on each crystal, thus proving that the crystalline forms developed by the alkaline fluorides possessed also the polarizing properties of the irregular system to which most of them belong. It is remarkable that these crystals are only seen near the edges of etchings by the alkaline fluorides, or only where the immediate surface of the glass has been removed. In the deeper parts of the etchings an irregular surface is presented, resembling to the naked eye a crop of small crystals, but on microscopical examination shewing no distinct crystalline form. It was somewhat difficult to determine whether the crystals were indentations in the glass or whether they stood in elevation, but after careful microscopical examination both Dr. Hodgkinson and I came to the same conclusion, that they stood in elevation. In a large thick glass vessel, capable of holding ten gallons, I placed six or seven gallons of fluosilicic acid solution con- taining a little hydrofluoric acid. After some months the vessel became deeply etched and, viewed from the outside, the surface seemed to be covered by a crop of well-formed crystals of considerable size. This vessel cracked in different places, which I find usually results in time from dissolving the inner surface of a glass vessel by hydrofluoric acid or the 44 Mr. W. Thomson on the fluorides. On breaking this vessel I found the inner surface to be very irregularly etched, shewing what appeared to be irregular crystalline forms of an average of a quarter of an inch across and yi to j^ inch deep from apex to bottom of rough crystals, but on carefully examining these by the naked eye, by a pocket lens, and by the microscope, no distinct and definite crystalline forms could anywhere be discovered. The observations which strike one regarding these are : — -First, if glass possess that absolutely homo- geneous or colloid or gelatine structure which it is generally supposed to have, why does it develope these curious irregularities when submitted to a slow solvent action. One would expect it to dissolve like a surface of gelatine when slowly acted upon by water if it were so absolutely colloid in its structure. On the other hand, if it be presumed to have a crystalline structure, one would expect that the surface would present such irregularities as it actually gives when the surface is thus removed. With regard to the distinct crystalline forms produced on glass by the action of the alkali acid fluorides, Tessie de Mothay, Marechal, and F. Reinitzer seem satisfied that the crystals \\dMQ:\iQQ.\\ produced by the solvent itself combining with some of the constituents of the glass and depositing crystals therefrom. The following is an extract from Reinitzer's paper : — " Fig. I represents the edge of an etched plate. The " crystals are hexagonal, and agree with those of silicon- " sodium fluoride. There are also a few of a longish shape, " which are very like those of silicon-calcium fluoride. It is " believed that alkali fluoride and hydro-fluoric acid act on " the glass, forming sodium-silicon fluoride and silicon- " calcium fluoride which are set free in a crystalline form ; " whereas, hydro-fluoric acid etches the spaces between the " crystals. Silicon and calcium are derived from the glass, " sodium partly from the etching bath and partly from the Peailiar Properties of Glass. 45 " glass. On etching potash glass, tesseral crystals of silicon " potassium fluoride can be observed, and this suggests a " simple method for the detection of potash glass." There is, however, a simple method by which this theory of Reinitzcr, and also of de Mothay and Marechal can be tested, and that is, that sodium-silicon fluoride, calcium- silicon fluoride, potassium-silicon fluoride, and also lead and calcium fluorides are all easily acted upon by sulphuric acid. If, then, these crystals be composed of the above- named compounds, it is evident they should be dissolved and removed, or destroyed by the action of sulphuric acid, which attacks with facility those compounds. I have made the experiment by boiling pieces of glass on which these crystals had been developed in sulphuric acid of different strengths up to prolonged boiling with strong vitriol, but on washing the glasses after such treatment, none of the crystals were destroyed or dissolved, and even their edges were not in the faintest degree affected. Whatever, therefore, these crystals may be, they are itot crystals of the sodium, calcium or potassium silico fluorides, or of lead or calcium fluoride. But assuming that they are so, then one would expect to find them in the deeper parts of the etchings as well as near the surface and edges ; which is not the case. I am of opinion that these crystals existed originally in the glass, and that the action of the solvent developed them just as hydrochloric acid developes the crystalline structure on tin when a weak solution is washed over a bright and smooth surface of it. It is not suggested that the hydro- chloric acid combines with and produces the crystals, it merely dissolves away the surface of the tin at some parts more than at others, so as to develope the metallic crystals ; and if the etching with the acid is continued, the crystals which are at first developed disappear, which is just what happens with the glass. I am of opinion that the crystals developed from the 46 Mr. W. Thomson on the glass are the potassium sodium and calcium silicates, which are not acted upon by the strong sulphuric acid above mentioned, and which are developed from the surface of the glass by the slow solvent action of the fluorides, just as the metallic tin crystals are developed from the surface of tin by the solvent action of dilute hydrochloric acid upon its surface. The objection to this theory is that glass does not polarize light; but it cannot be deduced from that that glass is not crystalline, because Pasteur proved that although paratartaric acid does not polarize light it is still crystalline, and is composed of crystals of the irregular system, but that the crystals or molecules are so arranged that the polarizing influence of one is neutralized by the reverse action of another always found in juxtaposition with it. Is it not possible, then, that glass crystals may be simi- larly arranged to each other so that the polarizing influence of one crystal may be neutralized by the reverse polarizing influence of the other? And this seems to be borne out by the fact that whilst small sodium and potassium silico fluoride crystals shew distinct polarization when viewed simply by two Nicol's prisms, the crystals on the glass do not shew polarization by that means, and it was only by the employment of circularly polarized light, produced by passing the light through a quartz plate, that a distinction could be observed between the crystals in question and ordinary glass. I believe that these crystals are then silicates of potassium, sodium and calcium, etc., and that they are not produced by the combination of the solvent with some of the constituents of the glass. Ammonium fluoride, when heated on the surface of glass, developes a beautiful fern-like structure on it resembling hoar-frost on a window pane. Peculiar Properties of Glass. 47 //. — On Prince Rupert's Drops. In the seventeenth century Prince Rupert astonished and amused the people of the English Court by producing drops of glass with long tails attached, which burst into small pieces the moment the tail was broken. Since his time Robert Hooke and others have made experiments upon them. It is believed that the explosive power of these drops depends on an internal tension in the glass of the drop due to the red hot, and consequently expanded, glass being suddenly cooled and solidified, whilst the internal contents have to adapt themselves to the rigid and ex- panded envelope. These drops are produced by allowing drops of molten glass to fall into cold water, a long tail being left as the highly viscid molten glass falls. As a rule, Rupert's drops contain a number of bubbles, which are due to vacuous spaces, but there are some drops which are free from such bubbles, and when the tail of one of these is broken it bursts with greater force than a drop containing bubbles. That these bubbles are vacuous I proved by heating the drop to redness, when the bubbles disappeared, and after cooling the drop of glass appeared quite solid and trans- parent. To determine whether the Rupert's drop was less dense than the drop after annealing, I took a large Rupert's drop quite solid and transparent (free from bubbles) which weighed in air I70"30 grains, and in water 102-66 grains. It was laid on a piece of platinum, placed in a muffle furnace, heated to redness, and allowed to cool gradually. It then weighed in air 1 70*36 grains, and in water 102-960 grains. The specific gravity of the Rupert's drop was, there- fore, 2-5177, whereas the specific gravity of the drop, after the strain had presumably been removed by annealing, was 2-5276, in other words, 100 volumes of ordinary glass 48 Mr. W. Thomson on the produced ioo"392 volumes of Rupert's drop glass, or the volume of the glass of the Rupert's drop may be repre- sented as having increased the rssth part of the original glass. The specific gravity of a second Rupert's drop without hibbles, made from a different kind of glass, was taken before and after heating to redness and allowing to cool slowly, the results obtained were — Sp. gr. of the Rupert's drop 2-4762 Sp. gr. of the Rupert's drop after heating to redness and allowing to cool slowly ... 2-4859 100 volumes of the ordinary glass used for making this Rupert's drop produced 100-3902 volumes of Rupert's drop> equal to an increase in volume of 2 Hth part of the original glass. I determined the specific gravity of a Rupert's drop containing bubbles. Grains. The weight in air previous to the removal of the bubbles by heating was 34'830 Weight in water ... 20-536 After the removal of the bubbles by heating and allowing to cool slowly it weighed ... 32-948 Weight in water ... 19-700 (A piece of glass was broken off in removing it from the platinum.) Specific gravity before heating 2-4366 After heating 2-4870 100 volumes of ordinary glass produced therefore 102-027 volumes of Rupert's drop with bubbles. The Rupert's drops with bubbles may therefore be repre- sented as having expanded rather more than Ath part of their volume. In other experiments I determined the specific gravity of a glass rod and found it to be 2-5029. Peculiar Properties of Glass. 49 I then produced a number of Rupert's drops from it by melting before the blowpipe, allowing the drops to fall into water and then determining the specific gravities of the drops so produced, 100 volumes of of original glass Equal to Specific became of increase of gravity. Rupert's drop glass. volume. {a) 2-451 102-073 {b) 2-460 101-714 -h ic) 2-473 101-194 One drop was made by allowing to fall into heavy mineral oil, heated to 80° C, instead of cold water, a fused portion of the rod. It produced a drop with one large bubble in the centre. Its specific gravity was 2-4475. lOO volumes, therefore, became 102-213. One drop of molten glass from the rod was allowed to fall into carbon tetrachloride. The liquid seemed to assume the spheroidal condition around the drops, so that it remained red hot for a long time under the liquid. The drop thus formed was free from bubbles and its specific gravity was 2*520, thus shewing that under those conditions 100 volumes of the original glass contracted to 99-317 volumes. This drop possessed none of the properties of the Rupert's drop, and neither did the ones dropped into oil, into carbon tetra- chloride, or into ether. The drop produced in ether had a specific gravity of 2-5018, whilst the original glass had a specific gravity of 2-4910, thus shewing that a contraction in volume had resulted from the use of ether. To find whether glass altered in volume on being heated to redness several times, I took a small piece of glass rod and heated it to redness, and allowed it to cool slowly in the air on three different occasions, the specific gravity being taken after each heating. The following are the results obtained : — D 50 Mr. W. Thomson on the Specific gravity of original glass 2*4954 After first heating 2-4964 „ second „ 2-4981 „ third „ 2-4986 The same glass was then fused and dropped into cold mineral oil, and its specific gravity was 2-4694 The drop in oil contained vacuous spaces or bubbles, but the drops formed in carbon tetra-chloride, chloroform, or ether, were all free from vacuous spaces. The drop in water ceased to shew red-hot after i to 2 seconds, whilst in ether it remained red hot for 5 to 6 seconds, and in air for about 20 seconds. I placed a Rupert's drop in hydrofluoric acid till all the outer skin was removed ; when the tail was then broken the drop remained intact, and it was not till the thick part of the drop was broken in a vice that the whole drop broke into pieces, but the pieces into which it broke were much larger than when broken in the usual manner. A small drop was placed in hydrofluoric acid, and, after a certain amount of the skin had been dissolved, an even layer of about iVth of an inch was found broken into small pieces equally all round the drop, these pieces remaining in situ, and could be easily removed by the fingers, whilst a bead of glass which formed the core came out clear and transparent, and when this was broken in a vice it did not break throughout into small pieces, but acted like an ordi- nary piece of glass. Two drops were taken, one was dipped in molten paraffin, so that the part from the line A, shewn in A the figure, to the point was coated with paraffin, the other was dipped so that the part from the line A to the bottom was thus coated. Peculiar Properties of Glass. 51 Both were placed in hydrofluoric acid, with the result that the acid dissolved away the surface in the first, whilst, in dissolving away the surface from the bottom the whole drop became disintegrated and was found in small pieces. The experiment was repeated, and this time both top and bottom surfaces were removed respectively to a depth of about -iVth of an inch and the drops remained intact. When the tail of the first with the top surface removed was broken off, the drop remained intact, and it was only when the glass was broken near the point A in a vice that the bottom part became disintegrated. In the second drop, when the lower surface only was removed, the breaking of the tail burst the whole drop, but the lower part broke into much larger pieces than it would have done if the surface had not been removed. According to Robert Hooke you may grind away the bottom of the drop without producing disintegration, but if this be attempted from the point downwards the drop in- variably bursts. From the above experiments one is led to believe that the drop might be ground from either end if the necessary care were taken, which would no doubt require to be much greater from the point downwards than from the bottom upwards. The explanation of the bubbles in the drops seems to be that there are very minute bubbles of air in the glass, which form nuclei for the formation of the vacuous spaces, and where none of these nuclei exist the drop appears to form as a solid transparent mass under greater tension than those in which the bubbles have formed ; but the curious thing is that whilst the Rupert's drops containing bubbles had in- creased in volume over 2 per cent, those free from bubbles had only increased by about ^ per cent. One would suppose that if a drop of molten glass were thrown into cold water its external surface would be solidified at once and that, whether or no, bubbles formed afterwards in the centre 52 Peculiar Properties of Glass. of the drop it would have somewhere about the same specific gravity. This, however, is not the case, and the bubbles form such a very considerable volume of the whole drop that it is difficult to imagine it possible that the molecules of glass could, as it were, stretch so as to accommodate themselves to filling such spaces with a continuous solid mass of glass. What seems to take place therefore is, that in the drops in which the bubbles occur, the solid contents and surface of the drop are forced outwards simultaneously with the cool- ing. It seems curious, however, that drops cooled in oil, although increasing in volume about as much as those cooled in water, should not possess the bursting properties peculiar to the drop formed in water. It is true that the drop cools more rapidly in water than in oil, and a remark- able thing is that one often finds bubbles formed from the surface inwards in drops formed in oil, whilst I, have never observed that in water-cooled drops. I have to thank my assistants, Mr. H. Bowes and Mr. J. P. Shenton, for much of the work contained herein. British Species of Allot rincs. 53 On the British Species of Allotrinae, with descriptions of other new species of Parasitic Cynipidae. By P. Cameron. Communicated by John Boyd, Esq. {Received November 22nd, r888.) Neither in this country nor abroad have the Parasitic 'Cynipidae attracted much attention, and thus our knowledge of the species is comparatively limited. That the group is numerous in species there can be no doubt, but their correct determination is a work of some difficulty, chiefly owing to the shortness of the descriptions of Hartig, who is the entomologist who first studied the species to any extent. Until his types have been examined by the aid of the works of Thomson and other writers, there must be always some doubt regarding many of them. The Allotrin?e will probably be found to be more difficult of specific discrimination than any other section of Parasitic Cynipidae, from the absence of much difference in sculpture or great variation in structure, while also they are very numerous in species, and mainly distinguished by differences in colour, in the form of the antennae and in the alar neuration. As a sub-family they are to be known by the broad radial cellule, the areolet not being situated opposite its base : the first and second cubital cellules are never complete and the cubitus (when indicated) issues from the middle of the transverse basal nervure ; the abdomen has the second segment the largest ; the body (including the scutellum) is impunctate, and the hind tibiae have only one spur. One of the most recent writers on the subject (Mr. W. H. Ashmead, Trans. Am. Ent. Sac, XIII., p. 64) includes yEgilips Hal. in the Allotrincs ; but the entire structure of that genus comes so near the Figitince and especially AnacJiaris, that I cannot 54 Mr. Cameron on the look upon Aigilips as having any affinity with Allotria, from which it differs in the rugose scutellum, in the shorter second abdominal segment (which is not half the length of the abdomen) and in the cubitus issuing from below the middle of the transverse basal nervure. It is however very probable that Aigilips Ashmead is different from Aigilips Hal. Certainly that genus has a transverse groove before the scutellum, the second abdominal segment is not " longer than the others," and the parapsidal furrows are not parallel, as stated by Mr. Ashmead to be the case with his Aigilips. According to our present knowledge the Allotrincs are attached to aphides, either as parasites or hyper-parasites of the ichneumons which destroy the plant lice. So far I am acquainted with thirty-three British species oi Allotria. Those with the wings fully developed may be known by the following table : — 1 (31) Radial cellule closed. 2 (10) Thorax (and head) more or less red. 3 (4) Thorax entirely red ; wings large, antennre and legs entirely clear yellow. Megaptera, Cam. 4 (3) Thorax not entirely red, antennie not entirely yellow. 5 (6) Pleurse entirely, and base of abdomen broadly rufous ; legs clear yellow, nervures yellow ; antenna; with the apical three-fourths dark fuscous. Pktiralis, Cam. 6 (5) Pleurce not entirely, and base of abdomen but slightly rufous ; nervures fuscous. 7 (8) Lower part of pleurae piceous-red ; legs rufo-testaceous ; radial cellule small, one half longer than wide. Rtificeps, Cam. 8 (7) Pleurae rufous, the centre broadly blackish, legs yellow ; radial cellule large, twice longer than wide. RiificolUs, Cam. 9 (i) Thorax, head and basal half of abdomen castaneous ; legs tes- taceous ; radial cellule elongated, three times longer than wide. Collina, sp. now 10 (21) Thorax black. 11 (16) Head red. 12 (13) Antennce uni-colorous yellow ; legs clear yellow. Flavicornis, ITtg. 13 (12) Antennae fuscous, yellow at the base. 14 (15) Head entirely red ; radial cellule elongate. FzV/r/jir, West, 15 (14) Head with the vertex castaneous; radial cellule moderate. Tscheki, Gir. British Species of Allotrince^ 5g i6 (ii) Head for the greater part black (entirely or with the oral region piceous-red). 17 (20) Legs clear yellow. 18 (19) Radial cellule large, elongated, more than twice longer than wide ; the femora slightly infuscated. Cvcuviscripta, Htg. 19 (18) Radial cellule small, not twice longer than wide ; femora clear yellow. Minuta, Htg. 20 (17) Legs more or less fuscous-testaceous. 21 (28) Radial cellule elongated ; the second abscissa of the radius at least one half longer than the first. 22 (23) Head piceous-red, radial cellule wide, the basal abscissa of radius a little more than half the length of the second. Curvicornis, Cam. 23 (22) Head black, radial cellule elongate, basal abscissa of radius more than half the length of the second. 24 (25) Length scarcely i mm. ; basal joints of the antennte clear yellow. Dolichocera, sp. nov. 25 (24) Length over l mm. ; basal joints of antennre fuscous or black. 26 (27) Head piceous, black on top ; the 4th and 5th joints of antennte deeply curved. $, • Ancylocera, Cam. 27 (26) Head black ; the 4th and 5th joints of the antennae but slightly curved. Longicornis, Htg. 28 (21) Radial cellule minute, not much longer than wide, the 3rd abscissa of radius curved. 29 (30) Head black ; the abdomen strongly compressed, broadly piceous, as long as the thorax. Microcera, Cam. 30 (29) Head reddish, castaneous on top ; abdomen shorter than thorax, not compressed. Mullensis, Cam. 31 (i) Radial cellule open. 32 (49) Thorax black. 33 (40) Head red. 34 (35) Radial cellule greatly elongated. Macrophadnus, Htg. 35 {34) Radial cellule not greatly elongate. 36 (37) Collar broadly red. Mactdicollis, Cam. 37 (36) Collar entirely black. 38 (39) Base of abdomen red ; antenna; thickened towards the apex, broadly and darkly infuscated ; legs reddish -testaceous. Basiinacula, Cam. 39 (38) Base of abdomen black ; antennae hardly infuscated at the apex, legs yellowish testaceous. Filicornis, sp. nov. 40 (33) Head black. 41 (44) Radial cellule minute, more or less trapezoidal, legs clear yellow. 42 (43) Antennae clear citron-yellow, hardly infuscated towards the apex ; radial cellule twice longer than broad ; the third abscissa of the radius not distinctly curved. Citripes, Thorns. 43 (42) Antennae blackish, yellow at the base ; radial cellule not twice longer than broad ; the third abscissa of radius roundly and distinctly curved. Trapezoidea, Htg. 56 , Mr. Cameron on the 44 {41) Radial cellule elongated, much longer than broad; legs and antennse not citron -yellow. 45 {46) Legs and base of antennae clear testaceous-red ; radial cellule elongated, the first abscissa of radius more than twice the length of the second. UUrichi, Gir. 46 (45) Legs testaceous with the femora infuscated ; radial cellule not elongated, the first abscissa of radius scarcely twice the length of the second. 47 (48) Legs reddish-testaceous, the femora lined with fuscous ; the second abscissa of the radius twice the length of the third ; length li mm. Perplexa, sp. nov. 48 (47) Legs pale testaceous ; the femora fuscous ; the joints pallid. Crassa, sp. no?. 49 (32) Thorax piceous-red or reddish-testaceous (head reddish or castaneous). 50 (51) Legs and antennoe fuscous-testaceous, the femora infuscated ; head castaneous, abdomen broadly rufous. Cakdonica, Cam. 51 (50) Legs clear yellow, the femora not infuscated. 52 (53) Head castaneous, abdomen black, reddish at the extreme base ; radial cellule elongate. Fkeomaculaia, Cam. 53 {52) Head reddish, abdomen broadly reddish, black at the apex or base. 54 (55) Length i^ mm. ; abdomen reddish, black at the base ; radial cellule elongate, narrow, the third abscissa of the radius not distinctly roundly curved. Testaceiis, Htg. 55 {54) Length i mm. ; abdomen black, reddish at base ; radial cellule short, -wide, the third abscissa of radius with a distinct rounded curve. Nizriventris, Thorns. Allotria dolichocera, sp. nov. Black; the mouth, the base of the antenna (joints i — 4) and legs pallid testaceous ; castaneous or infuscated broadly in the middle ; wings hyaline, the nervures fuscous. An- tennae longer than the body, very slightly thickened towards the middle ; the third and fourth joints subequal and a little longer than the second ; the last joint fully one-half longer than the penultimate. Radial cellule wide ; the second abscissa fully one and a half times the length of the second, almost straight. ?. Length ^ mm. What is probably the $ has the antennae filiform, one fourth longer than the body; the third joint curved; the base of the abdomen rufous. British Species of AllotrincB. 57 A. brevis Thomson comes very near this species, but it has the antennae only the length of the thorax. Hab. Cadder Wilderness near Glasgow, Dumfries, Peck- ham {T.R. Bilhips). ALLOTRIA COLLINA, sp. nov. Black; the oral region, the thorax and base of abdomen, castaneous ; the basal four joints of the antennae and legs pallid testaceous ; the femora inclining to castaneous. Wings hyaline, the nervures fuscous. Antennae nearly one- half longer than the body, thickened gradually (but not strongly) towards the apex ; the third joint not much longer than the second ; the last longer than the penultimate. Radial cellule elongate; the third abscissa of radius two and a half times the length of the second. 9. Length ^ mm. Most nearly related to A. dolichocera, but readily known by the castaneous thorax and base of abdomen, by the more slender and, if anything, longer antennae, by the clear colour of the legs, and by the more elongated radial cellule. Hab. Mugdock. Allotria filicornis, sp. nov. Black ; the head red, castaneous on the top ; the legs and five basal joints of the antennae clear yellow ; joints ^ — 13 fuscous ; wings hyaline, the nervures testaceous ; metathorax and base of abdomen covered with long pale hair. Antennae filiform, not thickened towards the apex ; the third joint a little longer than the fourth, and both are longer than the fifth; the last joint is fully one-fourth longer than the penultimate. Radial cellule elongate, wide, twice longer than wide ; the first abscissa of radius three- fourths of the length of the second ; the third roundly curved, two and a half times the length of the second. The 6 has the fourth and fifth joints curved ; the third is as long as the fourth ; the two last are subequal. 58 Mr. Cameron on the Length nearly lYi mm. Most nearly related to A . inacrophadna ; but it is smaller^ the colour of the legs is yellow, not reddish or reddish- testaceous ; the wings are shorter, the radial cellule is shorter and narrower. In the $ the curvature in joints 4 and 5 is better marked, and the third joint is longer. It is a larger species than A. bnsimacula ; the antennae are of a paler and clearer yellow, not dark fuscous, and much stouter and with the fourth and fifth joints thicker and more curved ; the legs are clear yellow, not reddish tes- taceous ; the abdomen is longer compared to the thorax and the radial cellule is wider. Hab. Cladich, Loch Awe, Clydesdale, Manual, Linlith- gowshire, Moffat, Dumfries. Allotria perplexa sp. nov. Black ; joints i — 5 of the antennae and legs testaceous, the femora broadly black or infuscated in the middle ; wings hyaline, the nervures pale fuscous. Antennae as long as the body, distinctly thickened towards the apex ; the third joint one-fourth longer than the fourth ; the last one-half longer than the penultimate. Radial cellule moderate in length, broad ; the first abscissa of radius half the length of the second, which is a little more than twice the length of the third, the third slightly curved. The hair on base of abdomen and metathorax very dense. The $ has the antennae filiform, longer than the body, the third joint longer than the body, curved. Length \y^ mm. There are two species described which have the femora darkened and with the tibiae and tarsi testaceous as in perplexa and crassa, namely A. aperta, Htg., and A. fuscipesy Thomson ; but both differ from perplexa and crassa in having- the antennae shorter ; fiiscipes having them scarcely longer,, and aperta almost shorter than the thorax. British Species of Allotrince. 59 Hab. Sutherlandshire, Kingussie, Clydesdale, New Galloway, Dumfries. Allotria CRASSA, sp. nov. Black ; the scape fuscous, joints 2 — 5 of the antenna, the apex of femora and tibiae more or less and the tarsi, testaceous ; the rest of the legs are fuscous ; wings hyaline, the nervures fuscous. Radial cellule elongate, narrow ; the basal abscissa of the radius about one-third the length of the second ; cubitus short, obscure. Antennae as long as the body, thickened towards the apex, the third joint one- half longer than the fourth ; the last a little longer than the penultimate. What is probably the $ has the antennae filiform, longer than the body, the basal three joints pale testaceous, the others dark fuscous. Length i mm. A smaller species than A. perplexa ; the antennae are shorter, the head inclines to piceous in colour ; the radial cellule is more elongated and has the second abscissa of the radius fully three times the length of the third ; and the legs are pale testaceous, not reddish and are especially pallid at the joints. Hab. Sutherlandshire, Cladich, Loch Awe, Dumfries. Kleditoma LONGIPENNIS, sp. nov. Black, shining ; the knees, apex of femora and base of tibiae, piceous ; wings hyaline, the nervures piceous. An- tennae as long as the body ; the third joint scarcely one- half longer than the fourth; the 3 — 8 joints thin, twice longer than broad, fully half the width of the club, which is nearly as long as the preceding six joints united ; the 5-jointed club distinct, abrupt, its basal joint not much narrower than the second and nearly one-half shorter than it. Scutellum distinctly striated, the cup lanceolate. Sides of metathorax 6o Mr. Cameron o7i the opaque, finely punctured ; the metanotum with a gradual slope, the keels distinct. Abdomen shorter than the thorax, compressed ; the hair fringe dense, dull griseous. Wings ample ; the radial cellule elongate, its width twice the length of the widest part ; the second abscissa of radius twice the length of the first ; apical margin of wings incised, densely ciliated. 9. Length i^ mm. Hab. Clober Moor, near Glasgow. Kleditoma elegans, sp. nov. Black ; the trochanters, apex of femora, tibiae, and tarsi, testaceous ; wings hyaline, the nervures testaceous. An- tennae a little longer than the body ; the third joint nearly as long as the fourth and fifth joints united, the 4 — 7 equal in length and thickness, the eighth one-half longer than the seventh and distinctly thicker than it; the 5-jointed club abrupt, the ninth joint thicker and longer than the eighth ; the joints bear some moderately long hairs. Wings ample ; the apex waved, almost truncate, but very slightly incised ; radial cellule wide, moderately elongate ; in length nearly twice the width of the widest part ; the second abscissa of radius three-fourths longer than the first. Abdomen as long as the thorax, looked at from the side almost tri- angular ; hair fringe dense, griseous. ?. Length nearly i^mm. Allied to K. longipennis, but easily known from it by the clear testaceous tibiae and tarsi, by the incision in the wings being very much less deep, and by the eighth joint of the antennae being clearly longer and thicker than the seventh. Hab. Mugdoch Wood, near Glasgow. Kleditoma truncata, sp. nov. Black ; the legs testaceous, the coxae for the greater part British Species of AllotrincB. 6i black, the femora black in the middle ; wings hyaline, the nervures obscure testaceous. Antennae a little shorter than the body ; the third joint twice the length of the fourth ;. the 4 — 8 subequal, but becoming very slightly longer, and of equal width, and about one-half longer than broad. The 5 -jointed club sub-abrupt, the ninth joint being distinctly thinner than the tenth, and shorter than it. Scutellum indis- tinctly striolated laterally ; metapleurae opaque, pubescent. Abdomen shorter than the thorax ; the hair fringe dense, griseous. Wings large, the apex hardly incised ; the radial cellule elongate, more than twice longer than wide ; the second abscissa of radius twice the length of the first. Length ij^ mm. Compared with loitgipennis the antennae are shorter and stouter, the club sub-abrupt and the wings can scarcely be said to be incised. Hab. Bishopton. Kleditoma Marshalli, sp. nov. Black ; the legs testaceous, the coxae and base of femora lined with black ; wings clear hyaline, the nervures testaceous ; the apex incised but not deeply. Antennae as long as the head and thorax united ; the second joint sub-globose, thick ; the third one-half longer than the fourth ; the rest broader than long ; the 3-jointed club abrupt, the basal joint nearly as long as the three preceding joints united, and a little shorter than the second ; the third joint nearly as long as the two preceding joints united and sharply conical at the apex ; the club nearly as long as the rest of the flagellum. Scutellum strongly longitudinally striolated ; the cup small, acutely pointed at the base. Abdomen longer than the thorax, the hair fringe interrupted on the top, clear white. Radial cellule elongate, narrow, more than twice longer than broad ; closed at the base and apex ; the second abscissa of radius one-fourth 62 Mr. Cameron on the shorter than the third ; the apical incision broad, short but distinct ; the fringe long. The (J has the antennae one half longer than the body, the third joint curved, not much longer than the fourth. Length ? 2 mm. ; c? i ^ mm. The great length of the club render this (for the group) large species easily recognisable. Hah. Barnstaple. (Rev. T. A. Marshall.) KLEDITOMA FILICORNIS, Sp. 710V. Black ; the legs pale testaceous, piceous towards the base ; wings clear hyaline, the apex cordate, with a long hair fringe ; the nervures testaceous. Antennae filiform, as long as the body ; all the joints of the flagellum twice longer than broad, distinctly separated ; the club sub- abrupt, the joints narrow at base and apex ; the apical one- fourth longer than the penultimate. Abdomen not much longer than the thorax : piceous on ventral surface, the hair fringe large, white. Radial cellule narrow, elongate ; the second abscissa of radius two-thirds the length of the third. Length i mm. May be known from K. psiloides by the longer and thinner antennae of which the joints are all twice longer than broad, by the thinner less abrupt club, and by the longer and thinner radius. Hab. Bishop's Teignton. (Rev. T. A. Marshall) KLEDITOMA LONGICORNIS, Sp. IIOV. Black ; the trochanters, femora, tibiae and tarsi, testace- ous ; the femora broadly lined with black above ; wings hyaline, the nervures dark fuscous. Antennae as long as the thorax and abdomen united ; the basal part of the flagellum thin ; the third joint not much larger than the fourth ; the tenth joint longer and thinner than the ninth and about one-fourth narrower than the eleventh ; the 3-jointed British Species of Allotrince. 63 club distinct ; the joints moderately elongate ; the last sharply conical at the apex and longer than the others. Scutellum laterally opaque, closely, longitudinally striolate ; the foveae deep, wide, distinctly separated ; the apical fovea small, shallow, circular ; at the apex the scutellum broadly projects, narrowing towards the bottom, but not forming a beak as in the section Rhyncacis ; abdomen longer than the head and thorax united ; the hair fringe dense, large, grise- ous. Radial cellule an elongate triangle, closed at base and apex ; the nervures straight, the second abscissa fully one- fourth shorter than the third ; cubitus traced ; apex of wing roundly incised. 9 Length slightly over 2 mm. In general coloration this species comes nearest to K. Jilicornis, but differs from it in its much greater size ; in the projecting apex of the scutellum (forming a transition to Rhyjicacis) in the longer abdomen and in the clearly indi- cated cubitus. Hab. Barnstaple. (Rev. T. A. Marshall.) Kleditoma gracilicornis, sp. nov. Black ; the knees and tarsi piceous ; wings clear hyaline, the nervures piceous. Antennae thin, twice the length of the thorax ; the third joint one-half longer than the fourth, the 4—8 wider than long ; the ninth oblong, thicker and nearly twice longer than the eighth, and three-fourths of the width of the tenth ; the 4-jointed club not very abrupt, the three basal joints of nearly equal thickness and length, oval ; the last longer and sharply conical at the apex. Radial cellule subtriangular ; the second and third abscissa; of the radius subequal. Scutellum aciculate ; the basal foveae longer than wide. Abdomen longer than the thorax and head united ; the hair fringe moderate, whitish. Apical incision in wings slight. ?. Length i mm. 64 Mr. Cameron on the The much smaller size, the thinner and longer antennae, the smaller and whiter abdominal hair fringe, sufficiently distinguish this species from K. tetratoma. Hab. Munton. {Rev. T. A. Marshall). KLEDITOMA AFFINIS, sp. nov. Black, shining ; the trochanters, knees and tarsi piceous ; wings hyaline, the nervures dark piceous. Antennae longer than the head and thorax united ; the third joint not one and a half times longer than the fourth ; joints 4 — 8 dilated towards the apex, longer than broad ; the apices truncated ; the ninth distinctly broader than the eighth and a little longer than it ; the 4-jointed club abrupt, distinctly separated ; the joints of nearly equal thickness and becoming gradually longer towards the apex ; the tenth a little narrower than the eleventh. Radial cellule rather elongated, closed at base and apex ; the second abscissa of radius distinctly longer than the first. Pro- and metanotum slightly pilose ; abdominal hair fringe, dense, griseous ; abdomen as long as the head and thorax united ; scarcely petiolated. Scutellum laterally finely striolated. Length i^ mm. Very similar to K. tetratoma, Thoms., but may be easily known from it by the third antennal joint not being twice the length of the fourth and by the shorter abdomen. Hab. Bonar Bridge, Sutherlandshire. Trybliographa crassicornis, sp. nov. Black ; the flagellum of antennse and legs red ; the coxae, the trochanters above and a line on the upper side of the femora towards the base, black ; wings hyaline, the nervures dull testaceous. Antennae fully one-half longer than the head and thorax united ; the third joint one-fourth longer than the fourth, which is as long as the fifth ; the 8-jointed club abrupt ; the sixth joint as long as the seventh British Species of Allotrince. 65 and equal in breadth to it, moniliform. Scutellum rugose at its sides and apex ; the basal foveae deep and wide. Metapleurae densely covered with griseous hair. Abdomen compressed laterally, lenticular, longer than the head and thorax united ; piceous towards the base and apex ; the hair fringe moderately broad, brownish, griseous at the apex. The first abscissa of the radius curved, fully one-half the length of the second, which is also curved and three-fourths of the length of the third ; the latter straight ; the cubitus reaches quite close to the apex of the wings. Length 4^ mm. May be known from T. scutellaris by the shorter an- tennae, which are also thicker, with the club more distinctly abrupt ; the third joint is not one-half longer than the fourth ; the sixth not longer than the seventh ; the wings shorter and clear hyaline ; the abdomen longer, being longer than the head and thorax united. Hab. Cambuslang on the Clyde. EUCOILA SCOTICA, Sp. flOV. Black ; the knees, four fore-tibise and tarsi, piceous-red ; the hinder tibiae piceous-black ; wings clear hyaline, but slightly pilose ; the nervures fuscous. Antennae nearly twice the length of the thorax, with an 8-jointed club not clearly separated ; the third joint not very much longer than the fourth ; the sixth longer than the seventh, twice longer than wide ; the other joints not much thicker than it, but shorter compared to the width. Cup of scutellum rather small ; the foveas at apex round, deep ; apex of cup projecting ; scutellum coarsely punctured ; the depression at base large. Cubitus indistinct, not much traced beyond the angle of the radial cellule, which is short and broad ; the first abscissa of radius slightly curved, one fourth shorter than the second. Abdomen a little shorter than the head and thorax united ; the hair fringe moderate. Pubescence on the metapleurae sparce. E 66 Mr. Cameron on the The c? has the antennae longer than the body ; the third joint thin, more than twice the length of the second, and longer than the fourth, which is thicker than the third. Length 2 — 3 mm. Hab. Clydesdale, Dumfries, Colvend, Carruber Glen, Dairy, Ayrshire. A larger and stouter species than T. ciibitalis ; differing from it in having the antennae quite black, stouter, and with a less clearly defined club, and with the third joint not much longer than the fourth. The radial cellule also is shorter and much broader, it being not very much longer compared to the greatest width ; the second abscissa is only about one fourth longer than the third, and the nervures are dark fuscous. EUCOILA FORTINERVIS, Sp. nov. Black ; trochanters, base and apex of femora, tibiae and tarsi, red ; hinder tarsi inclining to fuscous ; wings hyaline, with a decided fuscous tinge ; the nervures dark fuscous ; spurious nervures and cubitus stout, testaceous. Antennae one-half longer than the body ; the third joint a little longer than the fourth and thinner than it. Prothorax striolated in front, rather densely covered with fuscous hair. Scutellum coarsely rugosely punctured ; the cup twice longer than broad ; its base and apex depressed, narrowed and rather sharply pointed at the base, the apex rounded, pitted along the sides ; the apical foveae round, deep. Scutellar fovese wide, deep, extending backwards nearly to the middle of the cup, and not completely separated in the middle. Metapleurae densely pubescent ; the meta- pleural keels stout, straight. Abdomen shorter than the thorax, the hair fringe, dense, griseous. Legs densely pilose. Radial cellule twice longer than wide ; the first abscissa of radius about one-fourth shorter than the second, which is straight and nearly half the length of the third ; British Species of Alloirince. 6y the latter is curved near the apex ; cubitus thick, extending to the apex. S Length 3^ mm. Hab. Gloucester. EUCOILA PROXIMA, Sp. 710V. Black, shining ; the flagellum inclining to fuscous ; the apex of coxae, trochanters, femora, tibiae and tarsi, rufous ; the base of femora hned with black ; wings clear hyaline, pubescent, ciliated, the nervures clear testaceous. Antennai nearly as long as the thorax and abdomen united, without a club ; the joints becoming very gradually and slightly thickened towards the apex ; the third joint a little longer than the fourth, which is of the same length as the fifth. Scutellar foveae longer than broad, deep, truncated at base and apex ; the sides of scutellum punctured ; the cup depressed at the base ; and apex not projecting much, with a shallow fovea above. Metapleurse densely covered with griseous hair. Abdomen a little longer than the thorax, compressed, lenticular ; the hair fringe dense, griseous. Radial cellule elongate ; the second abscissa curved, fully three-fourths of the length of the third, which is nearly straight; cubitus not extending beyond the radial cellule. Length 3 mm. Comes nearest to E. glottiana, but stouter ; has the antennae stouter, shorter, and quite black ; the scutellar foveas are longer and separated by a stout keel ; the cup is somewhat more raised ; the apex of the scutellum, looked at laterally, projects more and is rounded, while in glottiana it is truncated. The wings, too, are clear hyaline. Hab. ^en?LQ&i {T. R. Bilhips). DiASTROPHUS (?) APHIDIVORUS, Sp. UOV. Black ; the antennae testaceous ; the legs rufo-testaceous ; the tips of the tarsi black ; wings almost hyaline, the ner- 68 ■ Mr. Cameron on tJie vLires fuscous, thick. Antennae stout, a little longer than the body, stout; the third joint attenuate, a little longer than the fourth. Head large, a little wider than the thorax ; shining, impunctate. Prothorax large, finely rugose ; semi- perpendicular in the middle. Mesonotum shining, ob- scurely striated at the base ; the parapsidal furrows distinct at the base. Scutellum rugosely punctured, depressed in the centre ; the basal foveae large, wider than long, curved, united. Metapleurai rugosely punctured. Abdomen shin- ing, the second and third segments subequal, apical ventral segment bluntly plough-share-shaped, not projecting beyond the apex. Hind tibiae curved, the metatarsus twice the length of the second joint ; claws apparently simple, wings ample ; the radial cellule open at base and apex and in front ; narrow elongate ; the third abscissa of the radius curved ; cubitus nearly complete. $ Length nearly i ^ mm. On the whole, this species agrees fairly well with Diastro- phns, and it is certainly distinct from either of the two described species, but these are true gall-makers, forming galls on Riibus and Potentilla, while the present species was bred from the aphis of the nettle, by the Rev. T. A. Marshall. The difference in habit probably indicates a generic differ- ence, but in the absence of the ? one is hardly justified in forming a new genus for its reception. The simple claws,. the confluent scutellar fovese (which form a curved furrow),, and the depression in the centre of the scutellum, are three points of distinction between it and DiastropJuis. Bred from the Nettle aphis by the Rev. T. A. Marshall at Barnstaple. The following new species of Eiicoila has been taken in Trinidad by the Rev. T. A. Marshall, M.A., F.L.S. EUCOILA RUFIVENTRIS, Sp. IIOV. Black, shining, impunctate ; the legs fulvous-red ; the I British Species of Allotrince. 69 ventral surface of the abdomen rufous ; wings almost hyaline ; the nervures dark testaceous. Antennae three- fourths of the length of the body, without a defined club, the joints becoming gradually thickened from the second joint to the apex ; the third joint about one-fourth longer than the fourth ; the fifth and sixth subequal ; the other joints moniliform, longer than broad ; the last conical at apex, one-half longer than the penultimate ; the basal joints piceous on the lower side. Prothorax in the middle in front raised above the mesonotum, and clearly margined above and at the sides, the top being semi-circular ; at the sides of the pronotum is a thick tuft of white hair. Scutellum large, the apex rugosely punctured ; the cup large, oval, its apex projecting, and with a shallow transverse, oval fovea ; the basal foveae large, deep, wider than long, distinctly separated ; there is a well marked transverse furrow in front of them. Metanotum excavated deeply in the centre, with- out keels, the apex punctured ; the metapleurai densely covered with white hair. Abdomen a little longer than the thorax, compressed ; the hair fringe gray, narrow, distinct ; the apex and ventral surface widely rufous. Radial cellule elongate, twice longer than wide ; completely closed ; the second abscissa of radius distinctly curved, three-fourths of the length of the third, which is only slightly curved at the apex ; the cubitus complete. The $ has the antennae somewhat more than twice the length of the body ; the third joint curved and a little longer than the fourth. This is a true Eucoila, intermediate as regards most structural points between Eucoila and PsicJiacra, Foerster, Length (? 2, ? nearly 3 mm. 70 Proceedings. {^Microscopical and Natural History Section?^ Ordinary Meeting, December 17th, 1888. Mr. J. Cosmo Melvill, M.A., President of the Section, in the Chair. Dr. Alex. HodgkinsoN exhibited under the micros- cope, crystals of chlorate of potash, showing iridescent colours, and explained the cause of these colours. Mr. Stirrup exhibited a fruit of a silver fir, Abies Douglasii, from Sir U. Kay Shuttleworth's estate in North Lancashire. Mr. P. Cameron made a communication on Pj'ret/nmn, and its use as an insecticide ; describing its cultivation in California, and its manner of use in America. Proceedings. 71 Ordinary Meeting, December 27th, 1888. Dr. James Bottomley, B.A., F.C.S., in the Chair. The following communication from Mr. James Nasmyth, F.R.A.S., &c., was read : — " Hammerfield, Penshurst, Kent, "December 21st, 1888. "Dear Sir, " Under the impression that the accompanying photo- graph, taken from my original drawing of a group of sun- spots may interest the members of the Manchester Philo- sophical Society, I have much pleasure in sending it for their acceptance, " The remarkable objects seen in the photograph which form the light-giving constituents of the solar surface, were discovered by me on June 5th, 1864, when the condition of our atmosphere happened to be in a most favourable con- dition for my observation of such comparatively minute details of the sun's surface. " My discovery of them has been amply verified by Sir George Airey, the then Astronomer Royal, as also by Mr. Stone, Chief Assistant at the Royal Observatory, Greenwich, and by Mr. Warren de la Rue, and others. " Believe me, 1 am, " Yours very respectfully, "James Nasmyth. " To the Secretary of the "Manchester Philosophical Society." 72 Proceedings. Dr. BOTTOMLEY introduced the subject of the death- rate and recent correspondence in the local newspapers on smoke abatement. In the discussion which ensued it was suggested that if the adoption of smoke-consuming furnaces were to be accompanied by the abolition of tall chimneys, the advantages of diminished smoke might possibly be off- set by the invisible deleterious gases being concentrated in the lower part of the atmosphere, instead of being diffused at an altitude where they would be unlikely to be injurious. Mr. R. F. Gwyther raised the question whether a smoke- less fire might not give off carbon monoxide, and asked how this gas would be eliminated from the atmosphere. Mr. John Angell argued that the apparently perfect com- bustion in well-arranged smokeless furnaces implied the absence of the monoxide from the products, but admitted that in the case of smokeless house fires or stoves the danger alluded to by Mr. Gwyther might exist. Proceedings. 73 General Meeting, January 8th, 1889. Professor OsBORNE REYNOLDS, M.A., LL.D., F.R.S., President in the Chair. Mr. T. W. Brownell, of Manchester; Mr. CHARLES James Heywood, of Pendleton ; and Mr. James Rait Beard, of Longsight, were elected ordinary members. Ordinary Meeting, January 8th, 1889. Professor Osborne Reynolds, M.A., LL.D., F.R.S., President, in the Chair. The President mentioned that he had found by a calcu- lation that the quantity of water passed per hour through the condensers of the steamship "City of New York," with 18,000 horse-power, equalled the average consumption of water per hour in Manchester. Mr. F. J. Faraday, F.L.S., communicated a paper by M. C. Tondini de Ouarenghi, of the Bologna Academy of Sciences, on "The unification of the measure of time, with special reference to the contest on the initial meridian." 74 M. TONDINI on the On the unification in the measure of time, with special reference to the contest on the initial meridian. By C. Tondini de Quarenghi. Communicated by F. J. Faraday, F.L.S. (Received December zytJi, iS88.) I. As early as the year 1862, the International Statistical Congress held at Berlin, impressed by the many inconveni- ences and delays resulting from the simultaneous existence of different calendars, approached the Imperial Government of Russia with the following representations : — " The International Statistical Congress professing that "the principal object of its meeting is the improvement of " statistical publications undertaken by the several States, as "well as the unification of the same, in order that their " results may be actually compared ; " Considering that uniformity and unification in the " measure of time is a desideratum of the highest importance " for many weighty points of science, such, for instance, as "the assessment of births and deaths for every month of ' the year ; meteorological observations ; the date of the " appearance of epidemics, and their exact duration ; many " and various medical observations, and the like ; " Considering also that the importance of that measure "is equally evident for every kind of international relations; " for commerce and the several branches of industry ; for " railways, and the simplification of many computations ; " Most respectfully expresses a wish that the Govern- " ment of His Majesty the Emperor of Russia, and, in "general, all Christians belonging to the Greek rite, may Unificatioji in the ineasitfc of time. 75 " adopt for the measuring of time the Calendar generally " used in Europe."* If the writer is correctly informed, an Imperial decree had been actually drawn up ordering, in compliance with the request of the Berlin Statistical Congress, the general adoption of the Gregorian Calendar throughout the empire, but other considerations prevailed. It is only just, however, to observe that, in 1862, the year of the emancipation of the serfs, the attention of Russia was diverted by more urgent reforms, which that of the Calendar might possibly have endangered. II. On January 26, 1888, the Royal " Institute lombardo di Science e Lettere" of Milan, received a communication " On the advantages and possibility of the general adoption of the Gregorian Calendar," and appointed a special committee to report on the same.f In March of the same year the Paris Academy of Sciences allowed a Note " On the Unification of the Calendar " to be read, appointed a committee to study the question, and published the note in the Comptes-rendjis.\ Subsequently several other communications, bearing on the same subject, were brought before the French Academy. The Paris Geographical Society, besides receiving at their meeting of April 6th a first communication : " On the general adoption of the Gregorian Calendar in its relation to the universal hour" and, on March i8th, in the presence of General Tcheng-ki-tong, the Chinese envoy in Paris, a second paper : " On the Chinese Calendar, a propos of the Unification of the Calendar," which were printed, * See the original French text of this important document in the Coiiiptes- rendus des siances de V Accui&mie des Sciences de Paris, 19 March, 1888, p. 813. t Rendicoitti del R. Institnto lombardo, Serie II., Vol. XXI., fasc. II. X Seance du 19 mars, 1888. T. CVI. No. 12, p. 813. 76 M. Ton DIN I on the together with the General's Reply, in their Comptcs- rendiis* went so far as to call by a special circular letter, dated June 2nd, 1888, the attention of all other geographical societies to the above communications, expressing the wish that they would support the unification of the calendar, " as a useful simplification, a real advance, both from a practical and a scientific point of view, and a step towards the desired general adoption of one initial meridian and the same unit of time." As far back as the beginning of April, 1888, this same Society, by a special letter, congratulated the Bologna Academy of Sciences, on their intention to profit by the festival of the eighth centenary of the Bologna University, to give a strong impulse to the unification of time and promised them : " tout le concours des moyens dont elle dispose." An analogous step was taken by the Royal Academy •of Belgium, as may be seen in the report of M. Folic, the Director of the Brussels Observatory, headed : " On the unification of the Calendar, proposed by the Royal Academy of Sciences of the Institute of Bologna," inserted in the Belgian Academy's Bulletin. Speaking of Russia, "There "is a nation," says the Belgian Astronomer Royal, "whose " assent in the matter would constitute the most valuable " scientific gift made, in our century, to science."-|' Coming back to the Bologna Academy of Science, as early as February 19, 1888, a special committee was ap- pointed to consider how the approaching festival of the University jubilee might be turned to the advantage of science. Professor Santagata's report was, on April 15th, unanimously approved, and a special memorandum bearing the title "Unification du Calendrier," was consequently * Compies-rendits des Stances de laSocictidc G&ographie, 1888, pp. 218 and 307. \ Bidklin de PAcadi/nie royale de Belgiqite, 3me serie, T. XVI. No. 7, 1888. Unification in the measnre of time. 77 printed and addressed "Aux savants reunis a Bologne pour la commemoration du huitieme centenaire de son Univer- site." A little later the same Academy addressed to all Universities and scientific bodies which had been represented at the festival of the centenary a note, dated August 2, on the progress of the question in its relation to the universal hour,* and as soon as their attention was called to the impending Bath meeting of the British Association for the Advancement of Science, I was requested to profit by the international character of that meeting, and, as the Academy's delegate, to do all I could "to give a strong impulse to the studies connected with the unification of the Calendar." III. The Bologna Academy of Science, fully aware that the first condition of success is to propose to one's self things reasonable, has declared that the desired unification of the Calendar ought to be urged " within wise limits." " This Academy," they say, " beg to remark that the Universal " Calendar, being merely intended to serve international " relations and scientific purposes, will no more impede " the maintenance and use of national calendars, with their " own particular divisions, than the universal hour will be "likely to impede the maintenance and use of the local " hours. The abolition of the national calendars, provided " they be correct, is by no means aimed at by our Academy, " and the very circumstance of the festival in celebration of "the eighth jubilee of our University witnesses to our " respect for, and profound attachment to, the traditions of " the past. Simplification is not levelling, and it would "indeed be a poor service rendered to science to deprive " people of the means of understanding their past history. " The very fact, moreover, that all Christian countries employ * Siir les derniers pr ogres de la question de runification dti Cakndrier, dans ses rapports avec Fheiire imiverselle. Bologne, Gamberini, 1888. 78 M. TONDINI on tne " two calendars, the one solar for civil usages and the other " lunar for determining the epoch of movable feasts as well as ^' of many national feasts and customs, is a sufficient caution " against unfounded or purposely excited alarms. As long *'as there shall be on earth Israelites, tracing the origin of ^' their rites to Moses and Sinai, the Israelite calendar will " not cease to exist ; as long as there shall be Christians *' considering the Synagogue as an image and preparation of " the Church, and anxious to keep, in the distribution of their " solemnities, the order of those of the ancient law, the lunar " calendar of the Jews will always be used. Let the same " be said of the religious and national feasts of Musselmans, " Chinese, and other people, distributed according to lunar " calendars. Experience alone will by and by lead them to " consider in what measure it would be for them more "advantageous to adopt for civil usages the universal " calendar. But before deciding on this point they must " be led to feel its necessity or, at least, become aware of " its utility, and this of course depends on local circum- " stances and concerns every State in particular. No " reflecting man will ever expect from a Chinese labourer " who, living in the interior of the Empire, does not come " into contact with foreigners, and who also feels thoroughly " satisfied with the national civilisation, that with regard to " the unification of time he should partake of the ideas of an American or an Englishman."* IV. The wisest course to be taken for hastening the said unification is to support the general existing movement in favour of the so-called "universal hour" or "universal day." A Calendar equally universal will come as the necessary result of the adoption of a universal unit of time. " The Fifth Resolution of the Washington International * Unification du Calendrier. — pp. 14-15. Unification in the measure of time. 79 *' Conference of 1884," — thus again the Bologna Academy of Sciences — " proposes as * universal day ' the mean solar "day, submultiple of our solar year. But neither in the " notation of dates, nor in international relations, nor in the " determination of the moment of scientific phenomena, can " that ' universal day ' be isolated from a month and a year " perfectly designated. We are consequently and forcibly *' in presence of the question whether, in order to indicate " that month and that year, a new chronology and a new "calendar should be created, or we should resort to a " chronology and a Calendar already in use. No one, we " believe, will seriously think of creating anything new : the "least inconvenience of such a scheme would be, if not " entirely to break with the past, to augment, without any "advantage, the difficulty of recurring to it. Far from " hailing such a creation of a new calendar as an advantage " for science, we should consider it as disastrous. Now, the " choice among the existing calendars cannot be doubtful. " Hence, the Bologna Academy of Sciences do not hesitate "to express their conviction that, everything taken into " account, and considering the advantage not merely of one " particular science only, but of the whole hiinianmn scibile, " the frank and entire adoption of the Gregorian Calendar " is the measure which would best serve the interests both "of science and humanity. A more regular division of the " number of days for every month should be, at any rate, " the maximum reform applied to our Calendar."* The same opinion is expressed as the result of a critical examination of our Calendar by Prof Forster, the Superin- tendent of the Berlin Observatory, with the only additional remark — which, of course, is already admitted by the Bologna Academy of Sciences — that the intercalary day of every leap year, should be assigned to the month of December, and Dr. Forster seems also inclined to recommend * Sur les derniers progres, etc. — p. 11-12. 8o M. Ton DIN I on the what he calls " this last desirable simplification of our way of measuring time" as a "compensation (Gegengabe)," offered to the members of the Greek Church for their giving up their special calendar, and thus entering into a complete agreement with the civilised world in their way of dating time* Alluding, moreover, to the many projects for a more perfect way of intercalation, Prof Forster makes the following truly scientific remark : — " The agreement of the Gregorian year with the course of the sun is now sufficient, and secured for a length of time beyond which our present knowledge of the constant alterations in the duration of the solar year is not able to reach." In other words : it would be unscientific, as well as unwise, to make provisions to secure the above agreement for a time before the coming of which we may be obliged to alter our intercalary arrange- ment again. It is indeed satisfactory to have to announce such a perfect agreement between the representatives of science in different countriesf , and to make it, as it were, even more satisfactory, owing to the special importance of the question. Prof Forster, speaking in another pamphlet, of the " uni- versal day," besides assuming as needing no proof, that it will be dated according to the Gregorian Calendar, remarks, by the way, that " Russia will thus gain the advantage of having her Julian date absorbed {absorbirf) by the Gregorian one."+ V. That Russia had a prominent part in stirring up the * FoRsrER (Wilh.), Ziir Beurtlieilung einiger Zeitfras;en, inshesondere gegen die Einfilhrung emer detitschen Norinalzeit. Inserted in the Deutsche Revue of 1881, Berlin. I. Band, p. 365, t See also : Bulletin of the Philosophical Society of IVashington ; Meeting of January 30, 1875, Vol. II., pp. 29, 30. Boletin de la Sociedad de geografia estadistica de la Repuhlica Mexicava. Teriera epocha, Febrero 28, 1873. T.I. p. 143, etc., etc. X Forster (Wilh.). Ort'cit und IVeltzeit, Berlin, 1884, p. 20. Unification in the measure of time. 8 1 question of the universal hour, is a well-known fact ; and no Power gave more support to Mr. Sandford Fleming's initiative, through the Canadian Institute, than Russia her- self As far back as February 4th, 1870, Dr. Struve read before the Imperial Geographical Society of St. Petersburg a most important paper concerning the initial meridian,* and his verdict was so authoritative that Prof Forster and other scientific authorities referred to it as settling the question. Unfortunately the International Geographical Congress of Venice (188 1 ), the International Geodetic As- sociation of Rome (1883), and, finally, the International Meridian Conference, held at Washington in October, 1884, proved equally fruitless, chiefly for want of agreement on the initial meridian. That things are now no more advanced than before the Geographical Congress of Venice, is demonstrated by the message of the late President of the United States to the Congress, dated January 9, 1888, recommending the Government "to take action to approve the resolutions passed in 1884, and to invite the Powers to accede to the same." These resolutions are consequently not approved yet, not even by the Washington Government, nor have the other Powers acceded yet to them. Moreover, the delegates of the different Powers represented at Washington declared from the very beginning that their presence there was only ad referendum^ and could not in any way bind their respective Governments. What these, consequently, really think on the subject of the initial meridian is un- known, and they are, at any rate, still at liberty to give or refuse their adhesion to the Greenwich meridian. Other Governments not represented at Washington, say China, Montenegro, Servia, or Roumania, may claim a right to * Struve (Dr. Otto) O pervoiit meridiane in the Geogyaphicheskia Invesiia, etc.. No. I, March 15, 1870, pp. i and foil. F 82 M. TONDINI on the give advice which may equally result either in diminishing or increasing the opposition to Greenwich.* It is alleged that the Greenwich meridian is now used almost everywhere even for geographical purposes, and that, consequently, the best course to be taken is to let things go their own way, until France, who opposed the adoption of the Greenwich meridian, be morally compelled in the interest both of science and humanity to give in. As for the assertion that the Greenwich meridian is now used almost everywhere, even for geographical purposes, it should be carefully verified. At any rate exceptions are to be found almost everywhere. This said, I venture to advance that, paradoxical as it may appear, no Power is more anxious that, with regard to the international initial meridians now in use, no change be made, and that things should be allowed to "go their own way" than France herself. What is in fact, now-a-days, the general practice concern- ing international meridians? That every nation is at liberty to choose for their marine the meridian they like best, and to make use either of the Nautical Almanac or of the Connaissance des Temps, or of any other ephemerides, just as they choose. Now, what was the respective attitude of France, on the one side, and of the Powers dissenting from her on the other, at the Washington Conference? While France advocated for navigation and astronomy the maintenance of the status quo, urging the application of a neutral international meridian to matters to which an international meridian had not been applied yet, the Powers advocated the exclusive use for the marine of all nations, of the Greenwich meridian and the Nautical Almanac of Greenwich. On which side was the proposal of a change ? *The following are the names of the twenty-six States represented at Washington in 1884 : Austria-Hungary, Brazil, Chili, Columbia, Costa Rica, Denmark, France, Germany, Great Britain, Guatemala, Hawais, Italy, Japan, Liberia, Mexico, Netherlands, Paraguay, Russia, San Domingo, Salvador, Spain, Sweden, Switzerland, Turkey, United States, Venezuela. Unification in the measure of time. 83 Consult the proceedings of the Washington Conference,* and the official Report on the same by Dr. Janssen, the President for 1888 of the Paris Academy of Sciences.f It is customary to attribute the failure of the Con- ference to a wounded national susceptibility of France. That France had, after all, some reason for feeling wounded, is the impression which one cannot help having when carefully perusing the above documents ; yet the evidence of facts goes to prove that the failure was not due to this, but to a motive of a purely scientific nature and preceding in point of time the debates of the Washington Conference. In August, 1884, consequently two months before the Conference, the French Minister of Public Instruction ap- pointed a special committee composed of standard repre- sentatives of science and men having a special competence to give advice on the practical side of the question, charging them carefully to consider the proposals which were to be brought before the Conference. The conclusions of the committee are given in a remarkable report by M. Caspari, one of its members : \ " For navigation the question is " extremely simple ; it does not find the least inconvenience " in the statu quo ; it would find very great inconveniences " in its modification. . . . We may say in conclusion that, * House of Representatives. Executive Document, No. 14 ; Forty-eighth Congress, Second Session, December 4th, 1884. t CoTnptes-rendtis hebdoviadaires des Seances de P Acadimie de France. 9 Mars, 1885, pp. 706 — 726. + Here are the names of the members of that Committee : MM. Faye, President, d'Abbadie, Bouquet de la Grye, Senator Dupuy de Lome, Janssen, Vice- Admiral Jurien de la Gravi^re, Ferd. de Lesseps, Liewy, Contre- Admiral Mouchez, Perrier, Vice-Admiral Paris, Tisserand, Wolff, all members of the Institute of France. Moreover : MM. Blavier, director of the Superior Telegraph School ; Gael, director ingenieur of telegraphs ; Caspari, hydro- grapher ingenieur of the marine ; Charmes, director of the Secretaryship at the Ministry of Public Instruction ; de Chancourtois, General Mines Inspector ; Clavery, minister plenipotentiary director at the Ministry of Foreign Affairs ; Colonel Goulier, of the French G4nie ; Colonel Laussedat, of the French Ghtie, and director of the Co7iservatoire des arts et m&tiers ; Noblemaire, director of the Railway Paris-Lyon-Mediterranee, 84 M. TONDINI on the " generally speaking, the unique initial meridian is rejected " by astronomers, geodetists, and navigators ; that is by all " those for whom the origin of longitudes ought to be traced "with a great precision." On the other hand, "For general " geographical cartography, especially for usage in the schools "... for meteorology, physics, geology, and the telegraph "service (provided it be without prejudice to the local hour) "there are only advantages in trying to have a common "initial meridian. . . . France, who in many respects has " already opened the way to such international agreements, " cannot stand aloof in the present case ; she can and must " give her support to reforms wisely directed."* In compliance with the instructions of the Committee, and acting, moreover, on his own scientific convictions, Dr. Janssen, the delegate of France at Washington, did all he could to obtain that the Conference would previously discuss the above important distinction. " Whilst there is advan- " tage," he said, " in increasing the number of Observatory " meridians, it is necessary to reduce as far as possible the "origines of geographical longitudes.f Now it is evident * The original French runs as follows : — " Pour la marine la question est des plus simples ; elle ne trouve pas le moindre inconvenient au stahi quo, elle en verrait de tres-graves \ le changer. . . . Nous pourrons dire que, d'une fa5on generale, le meridien initial unique est repousse par les astronomes, les geodesiens et les navigateurs, c'est-a-dire, par tous ceux pour qui I'origine des longitudes a besoin d'etre definie avec une grande precision. . . . " Pour la cartographic geographique generale, et surtout pour I'enseigne- ment, il n'y aura que desavantages a tendre vers un meridien initial commun. . . Nous avons fait valoir plus haut ces considerations ainsi que celles relatives a I'heure universelle pour les meteorologistes, les physiciens et les geologues. Pour le service telegraphique aussi, s'il est bien entendu que I'heure locale sera conservee et si Ton obtient la transmission d'office de I'heure universelle sans prejudice de I'heure locale. . . La France qui, a bien des egards, a ouvert la voie a ces ententes internationales, ne peut done se desinteresser dans le cas present ; elle peut et doit preter son concours a des reformes sagement conduites." — [^Rapport Jait au nom de la Commission de Punijication des longitudes et des hejires, par M. Caspari, ingenieur hydrographe de la marine. Aout 1884, pp. 5, 6et 17.) + Quoted in the above report on the Washington Conference, 1. c. p. 712. " Tandis qu'il y a interet a multiplier les meridiens d'Observatoires, il y a necessite de r^duire, autant qu'on le peut, les origines des longitudes en geographie." Unification in the measure of time. 85 that Dr. Janssen went to the very root of the question at issue, and that a statement like his raised a doubt which ought previously to have been dissipated by a fair discus- sion. Instead of this, the choice of Greenwich, for all international purposes, was carried, as it were, by acclama- tion. Moreover, whilst Sir G. B. Airy, late Astronomer Royal of Greenwich, in a letter dated June 18, 1879, to the Secretary of State for the Colonies, said : " Nearly all navigation is based on the Nautical Almajmc, which is based on Greenwich observations and refer to Greenwich meridian I, as Superintendent of the Greenwich Observatory, entirely repudiate the idea of founding any claim on this"; and whilst, as it was also acknowledged during the Conference, " a law relative to the unification of time notation is of less relative importance to the navigator,"* the preference given at Washington to Greenwich was almost entirely based on the argument disclaimed by Sir G. B. Airy. It is not to be wondered at, after all this, if Dr. Janssen, consistent with his scientific convictions, wrote in the above Report : " The failure is not for France but for science," and " The proposal of France (of a neutral inter- national meridian except for astronomy and navigation) still represents the impartial, scientific, and definitive solution of the question, and we think it honourable for our country to have defended that cause."f * These are the very words of Dr. Struve, in his Report on the Wash- ington Conference. It is to be found, together with the letter of Sir G. B. Airy, a great amount of useful information and most valuable documents on the question in Mr. Sandford Fleming's (C.E., C.M.G.), Universal oi- Cosmic Time. Proceedings of the Canadian Institute, Toronto, July, 1885, Vol. XXI., No. 143. t " Si notreavis, tout scientifiqtie et desinteresse, n'a pasrallie la majorite, I'echec n'est pas pour la France, il est pour la science," 1. c. p. 724. " Le meridien propose par la France reste toujours comme representant la solution impartiale, scientifiqtie, definitive de la question. Nous pensons qu'il y a honneur pour notre paj's d'avoir defendu cette cause," p. 715. 86 M. TONDINI on the VII. On both sides, then, an appeal is made to science. Now, the well-known Italian writer, Alessandro Manzoni, remarks somewhere, in his Promessi sposi, that when, in a contest, each party is only repeating its own argument, the contest is likely to go on for a long series of generations. To prevent this being the case with the initial meridian, the Bologna Academy of Science has recently made an attempt to conciliate every interest. At the last meeting of the British Association, held at Bath, I made, as delegate, and in the name of that academy, the following suggestion : — " That navigators and astronomers being at liberty to go " on using their ozvn initial meridians, another truly " international meridian be chosen for all other "purposes for which the unification of time is " required. "That, moreover, since the Jerusalem meridian has "already the suffrages of scientific authorities, its "appropriateness to serve as the universal initial " meridian be seriously taken into consideration."* This suggestion I was most kindly allowed to defend before the committee of Section A (Mathematical and Physical Science), and I am only too happy to express my thanks for the way in which I was listened to and the encourage- ments I there received in my endeavour, not indeed to have the proposals carried through by all means, but merely to have them carefully considered. A special committee was appointed to report on them. It is hardly necessary for me to remark that, had there been any serious probability at hand that the Greenwich * This suggestion was already to be found in the above-quoted Note of the Bologna Academy of Science. ' ' Siir les dernios progres de la question de Vtinification dii Caleiidrier daiis ses rapports avec Vheia-e Jiniversel/e," dated August 2, 1888. pp. 12—14. Unification in the measure of time. 87 meridian might be universally adopted, the Bologna Academy of Science would never have thought of making the proposals, nor would I have accepted a mission, which, owing to the unavoidable misrepresentations usual in matters of that kind, makes me appear as advocating, " the suppression of the Greenwich meridian ! " More than enough, and I speak by experience, to make me regarded in England as a kind of bite noire. As regards the choice of Jerusalem, "where every form of religion, every nationality of East and West is represented at one time,"* the Ottoman Government, which has been already applied to, has shown the most favourable dispo- sition.f Moreover, the Jerusalem antimeridian would cross the land of Alaska, where the change of date was already in use,| whilst should, as it was suggested, the meridian of Behring Straits have the preference, the interests of science, requiring a series of Observatories of various kinds and at different latitudes along the initial meridian, would cause the Behring one to be, practically, but a fiction, and the real initial meridian to be its antimeridian. Now the Behring antimeridian would constitute a German, Hamburg o'' Halle, initial meridian — a circumstance deserving con- sideration. Let it also be observed, by the way, that the present Jewish Calendar, reformed in the ivth century by Rabbi Hillel Hanassi, is based on the Jerusalem meridian.§ * CoNDER (Claude Reignier, lieutenant), R.E. Tent work in Palestine. London, 1885, p. 162. t See in the Nouvelle Revue of November 15, the report of Coumbary Effendi, Director of the Meteorological Observatory at Constantinople, p. 440 : La Turquie, k Calendrier tuiiversel, et le nieridien initial. X See Bulletin of the Washington Philosophical Society, Jan. 30, 1875, p. 38. § See, on the present Jewish Calendar, Ideler (Ludwig) Handbuch der mathefjiatischett und technischen Chronologie, 2nd edit., Breslau, 1883, and Mahmoud, sur les Calendriers juddique et nnisulinan, in the Memoires des savants etrangers, couronnes par tAcadeinie royale de Belgique. T. XXVI. and XXVII. 88 Unification in the measure of time. The longitude of Jerusalem was first taken by Niebuhr, then by Seetzen* and Vignes.f Lieutenant Conder, well known for his survey of Palestine, says, in the Encyclopcedia Britannica -^ "The geographical situation of Jerusalem has now been determined by trigonometry to be 31° 46'45"N., and 35° 13' 25" E. long, of Greenwich, taken at the dome of the Holy Sepulchre church." Now, that of the French Connaissance des Temps is 32° 52' 51" E. Paris, which would make 35° 13' y" E. Greenwich. The difference is too great to be overlooked, and it would be important to ascertain whence it comes. * See Zach (Baron von) Monatliche Correspondenz XVIII. Gotha, 1808, P- 537- t See Connaissance des Temps, 1868. Additions, p. 130. Sur la table des positions geographiques, par M. Darondeau. X Encyclopedia Britannica. T. XIII., p. 636. Art. Jerusalem. Proceedings. ^Microscopical and Natural History Section?^ Ordinary Meeting, January 14th, 1889. Mr. Charles Bailey, F.L.S., Vice-President of the Section, in the Chair. Mr. C. J. Heywood was elected a member of the Section. Mr. George Nash Skipp was elected an Associate of the Section. Mr. H. Hyde exhibited specimens of wood and stone, perforated by PJwlas. Mr. F. Nicholson exhibited Pallas' Sand Grouse, both sexes, and made a communication on its recent appearance in England. Mr. H. C. CtlADWiCK showed a specimen of a rare star- fish, Goniaster phrygiamis, taken by a North Sea trawler. Mr. P. Cameron read a paper entitled "Hymenoptera orientalis, or contributions to a knowledge of the hymen- opterous fauna of the Oriental zoological region." 90 Proceedings. General Mectini:^, January 22ncl, 1889. Professor OsBORNE Reynolds, M.A., LL.D., F.R.S., President, in the Chair. Dr. George Bowman, of Old Trafford, was elected an ordinary member. Ordinary Meetin_c,^ January 22nd, 1889. Professor OsBORNE REYNOLDS, M.A., LL.D., F.R.S., President, in the Chair. Mr. W. H. Johnson called attention to the fact that commercial copper is now apparently being produced of greater purity than laboratory " pure " copper, and a dis- cussion ensued. Mr. P. Cameron read a paper entitled "■ Hynienoptera Orientalis, or contributions to a knowledge of the hymen- opterous fauna of the Oriental zoological region." During the discussion which followed, Mr. CHARLES Bailey commented on the fact that the number of entomologists has steadily decreased all over the world, there being now very few left ; a circumstance, Mr. Bailey pointed out, which is the more surprising as no department of natural history, not even botany, offers so wide a field of research and so rich a reward in the discovery of new facts. Hymc7ioptera Orientalis. Hymenoptera Orientalis ; or Contributions to a know- ledge of the Hymenoptera of the Oriental Zoological Region. By P. Cameron. Communicated by John Boyd, Esq. {Received March nth, i88g.) Part I. Introduction. Notwithstanding the large number of our countrymen who reside in our East Indian possessions, our knowledge of their insect fauna, even of the Hindostan peninsula, is exceedingly meagre and fragmentary. A good beginning has been made towards the study of the Lepidoptera, but the same can hardly be said of the other orders. As regards the Hymenoptera, excellent work has been done by our distinguished countryman, Mr. A. R. Wallace, more par- ticularly in the Islands ; and his labours have been recorded in numerous papers by my late friend, Mr. Frederick Smith, of the British Museum. But, with all that, very much remains to be done before our knowledge of the Oriental Hymenoptera can be fairly stated to be at all adequate. The fact that less than 2,000 species have been recorded from the Oriental region is sufficient evidence of the truth of this statement ; and of the need of the attention of Indian residents being directed to such a promising field of entomological study. My own attention was drawn to the inquiry by Mr. G. A. James Rothney offering to place at my disposal for study the beautiful and extensive collection formed by him during many years' residence in India, chiefly in the Calcutta district. This valuable source of information has been 92 Mr. Cameron on supplemented by Mr. E. C. Cotes, lending me the material in the Calcutta Museum ; by a large collection belonging to the Bombay Natural Society, formed by Mr. R. C. Wroughton, District Forest Officer at Poona; and by various small collections, including a small, but very interesting one, made by Mr. George Lewis, in Ceylon. In order to make this paper as useful as possible, more particularly to Indian residents, I have given : — (i) A catalogue of all the known species, with their localities, synonyms, habits, &c. (2) Descriptions of rare or imperfectly known species. (3) Descriptions of the new species. (4) A list of all the works and papers relating to the Oriental Hymenoptera, and (5) Observations on their geographical relations. Mr. Rothney's collecting was chiefly in the Calcutta district, namely, in the neighbourhood of the City ; in Barrackpore, Sittaghui, Samnugga, Ishapue, Serampue, Chandauague, Gusery ; at Port Cauumy to the south, Burdwan to the north ; Nischindepue to the north-east. Also in Tirhoot, Bengal ; Mussourie, North-west Province (in September and October), in Allahabad, North-west Province ; and a few species from Dargeeling, Madras, Bombay, and Ceylon. Mr. Wroughton's collecting is principally from Poona (Dekhan) and Bombay. SPHEGIDyE. Ammophila. Ammophila, Kirby, Trans. Linn. Soc. IV., p. 195. Psammophila, Dahlbom, Hyin. Ent. I., p. 16. Parapsamnwpliila, Taschenberg, Zeits. f. d. ges. Natuviv. in Halle. XXXIV. Hyinenoptcra Orieiitalis. 93 List of species of ^i///;//^/////!?? known fronn the Oriental region. (i.) Petiole 2-jointed : 1. Atripes, Smith, Ann. and Mag., Nat. Hist. IX., 1852, p. 46; Cat. Hymen. Ins., IV., p. 217, 43. Hab. India. Common in Calcutta district {Rot/mej). Khandala (Smith), Sumatra, China, Shanghai. 2. BASALIS, Smith, Cat. Hymen. Ins. IV., 214, 17. Hab. North India, Punjaub. 3. BUDDIIA, Cam., infra. Hab. Calcutta district, not uncommon. 4. DlMiDlATA, Smith, /. c. 216, 40. Hab. India (Bombay, Madras, N. Bengal). 5. ELEGANS, Smith, /. c. 216, 42. Hab. North India (Punjaub). 6. FUSCIPENNIS, Smith, Trans. Linn. Soc. Zool. VII., p. 187(1870). Hab. Mainpuri, North-west Province. 7. HUMBERTIANA, Saussure, Reise d. Novara, Hyni. 25. Hab. Ceylon. 8. L/EVIGATA, Smith, I. c. 215, 39, de Saussure, Reise d. Novara, Hyni. 23. Hab. India (Madras, Guzerat), Barrackpore {Rot/uiey), Ceylon (Cutchevilly). 9. LONGIVENTRIS, Saussure, /. e. Hab. Ceylon. 10. NiGRlPES, Smith, I.e. 215, 38. Hab. India (Madras), Barrackpore {Rothney). 11. PUNCTATA, Smith, 218, 46. Hab. Northern India. 12. Orientalis, Cam., infra. Hab. Barrackpore, Allahabad {Rothney). 94 Mr. Cameron on 13. Smithi (Baly), Smith, I.e. 217, 45. Hab. India. 14. SUPERCILLIOSA, Saussure, /. c. 24. Hab. Philippines (Manila). 1 5. Taschenbergi, Cam. A mmophila erythropus, Taschen- berg, Zeits. f. d. gesamnite Naturw. XXXIV. 434 {non Smith). Hab. Java. 16. Vagabunda, Smith, /. c. p. 218, 47. Hab. North China, North India, Sumatra. 17. ViSCHU, Cam., infra. Hab. Mussoorie Hills, North-west Province. (ii.) Petiole zvith one joint {P sammophila). 18. HiRTICEPS, Cam., infra. Hab. Gilgit (Mus. Calcutta). (iii.) Tarsal claws with tzuo teeth at the base {Para- psammophila). 19. ViOLACElPENNis, Cam., infra. Hab. Sambhalpur, Poonah ( Wronghton). 20. Erythrocephala, Fabricius. Sphex erythrocephala. Fab. Ent. Syst. II., 204, 23. Ammophila erythrocephala, St. Fargeau, Hist. Nat. Ins. Hyni. III., 385, 26. Hab. North India (Punjaub), Poona ( Wroughton). A. Mesothorax transversely striolated. {Ammophila, sensu sir.) Ammophila buddha, sp. mv. Nigra, fnsco hirta,petiolo, scapo,femoribus, tibiis tarsisqiie, rufis, abdoinine c(2ruleo; alis flavo-hyalinis, apiceferefumatis, nervis testaceis. Long. 25 mm. Antennae short, thick ; the second joint two-and-a-half times the length of the fourth. Head broad, retreating Hynienoptera Oricntnlis. 95 behind the eyes, which are large and almost parallel ; covered with a short sparse white down, and sparsely with longish black hairs ; front and vertex obliquely aciculated, the former only excavated immediately above the antenn.'E and without a longitudinal furrow ; clypeus sparsely punc- tured ; its apex almost transverse in the middle, the sides somewhat oblique ; the centre slightly incised ; mandibles obscure reddish towards the centre, the outer side broadly at the base striolated. Thorax covered with a fuscous pubescence ; the tubercles and a spot on either side of the median segment silvery. Pro- and mesonotum strongly transversely striolated, the striolations rather widely sepa- rated ; propleurae obliquely striolated ; meso- and meta- pleunie longitudinally rugosely punctured ; metanotum transversely rugosely punctured ; scutellum longitudinally striolated ; mesonotum with a shallow channel in the centre ; metanotum not elevated in the centre ; a shallow indistinct furrow below the spiracles. Petiole longish ; the second joint usually blackish at the base. Coxae covered with a dense moderately long silvery pile ; the trochanters, tibiae and tarsi, with a shorter and thinner one ; hind coxae coarsely punctured ; tarsal spines black ; fore calcaria red ; hinder black, reddish at base ; apex of tarsi black. Second cubital cellule at top a little wider or a little narrower than the space bounded by the recurrent nervures ; third cubital cellule a little wider at top than at bottom, the second transverse cubital nervure bent outwardly at the bottom ; tegulae blackish to piceous. A. humbertiaiia, Saus. from Java, seems to be the nearest ally of this species, but it has the metanotum "postice oblique in V-formam elevato-strigato," and the trochanters are not black. A. basalis is also nearly related to it, but is smaller (15-17 mm.), has the face silvery pilose, densely so on the clypeus ; the head smooth, impunctate, wings hyaline, &c. Barrackpore ; Allahabad, N. W. Province. 96 Mr. Cameron on Ammophila orientalis, sp. nov. Nigra, arge^iteo Jiirta ; femoribns, tilnis, f arsis, petiolo, abdominisqne segniento i° fere toto, rufis, alis Jiyalinis vel fusco-hyalinis, apice fiimatis, costa testacea ; nervis nigris ; abdomine ccEndeo. ?. Long. 17 — 19 mm. Similar to the preceding species, but smaller, with the pubescence shorter and sparser, and of a more silvery tint ; the wings without such a decided yellowish tinge, and with the nervures blackish ; the first abdominal segment is red, except at the apex, and the third antennal joint is shorter, not being twice the length of fourth. Mandibles broadly red at the base, which is striated ; clypeus punctured, densely covered with a silvery pubescence ; its apex with a broad shallow sinuation ; front and vertex shagreened, sparsely and shortly pilose. Antennae with the base of first joint testaceous, the flagellum covered with a pale pile. Pro- and mesonotum strongly transversely striolated ; metanotum more closely and not so strongly ; scutellum strongly longitudinally striolated ; propleura perpendicularly striolated, meso- and metapleura obliquely rugosely striolated ; the raised part of the metanotum shield-shaped. The tubercles and the sides of the middle segment densely silvery pilose. The second joint of the petiole is black above at the base ; the apex has a silky pile ; the hind coxae are white with a dense silvery white pubescence ; the trochanters are red, blackish towards the base and apex, the anterior broadly black at the base ; the tips of four anterior tarsi and the posterior from the base of the second joint blackish ; spurs blackish. Alar cellules pretty much as in y4. biiddha. The ocelli do not form a triangle ; the anterior not being placed very far in front of the posterior. The clypeus and tegulae in some specimens are tes- taceous ; the apex of the second joint of the petiole may be black ; the basal joint of the antennse may be testaceous, Hynienoptera Oriental'is. 97 and the middle joints may show a tendency towards fuscous coloration. In size there is some variation. Ammophila nigripes, Smith. A specimen from Barrackpore agrees with Smith's description so far as it goes. It is fully one line longer ; the hair on the thorax is longish and tolerably thick ; the clypeus is broadly transverse at the apex, the sides being angled ; the mesonotum is furrowed in the centre ; the legs are thickly pruinose ; the second cubital cellule at the top is about one-fourth shorter than the third, and about equal in length to the space bounded by the second recurrent and second transverse cubital nervures ; the third cubital cellule is almost equal in length at top and bottom, and the third transverse cubital nervure is sharply elbowed a little below the middle. Ammophila atripes, SviitJi. The Barrackpore specimens of this species, as named by Smith, are uniform in coloration — black, the second joint of petiole is red beneath, the first joint black, the other seg- ments steel-blue ; the wings more or less fuscous, the nervures black. Face and clypeus densely covered with silvery white pile ; apex of clypeus transverse, the sides rounded ; vertex and front with scattered punctures, shining. Pro- and mesonotum strongly transversely striolated ; meta- notum more closely and not so strongly ; scutellum and post scutellum longitudinally striolated ; pleurae rugose. The pubescence on the thorax is short and cinereous ; the abdomen is thickly pruinose. At the top the second cubital cellule is about one-half the length of the third, and a little more than the space bounded by the second recurrent and second transverse cubital nervures ; the third cubital cellule is nearly equal in length at top and bottom ; the third transverse cubital nervure is elbowed near the middle. The H 98 Mr. Cameron on female agrees in coloration, punctuation, and clothing with the male. Differs from A. nigripes in being longer, in having the hair on the thorax less dense and shorter, the clypeus more rounded at the apex, the mesonotum with the central furrow less distinct, the wings darker, and with black nervures. Barrackpore — common. B. mesoiwtum punctured. Ammophila Vischu, j/. nov. Nigra, nitida, punctata; apice petioli, abdouiinisque segmentis i — 2, nifis ; alls fuscis. Long. 22 — 24 mm. Antennae stout, microscopically pilose. Face and clypeus covered with a silvery white pubescence ; the front and vertex bear long fuscous hair. Clypeus broad, flat, the apex margined, truncated ; sparsely punctured. Front depressed ; a distinct furrow down the centre ; rather strongly punctured ; the vertex with the punctures more widely separated. Thorax strongly punctured, the pleura; and metanotum rugose ; scutellum with the punctures larger and closer than on the mesonotum ; post-scutellum rugose. Mesonotum with a distinct furrow, which becomes wider towards the apex, where it is nearly filled up by a keel. The pubescence is long and cinereous, long and dense on the pleurse ; sparser above. The tubercles, an oblique stripe on the pleura; and the middle segment laterally, densely covered with silvery pubescence. Second segment of petiole stout ; the extreme base black. Second segment above wider than the space bounded by the first recurrent and first transverse cubital nervures ; the third cellule much narrowed at the top, usually there not one-fourth of the length of the bottom. Tegulae black. The male has the clypeus produced and rounded at the apex, and is, as well as the face, densely covered with silvery pubescence. Hyuiciwptera Or'ientalis. 99 A. punctata, Smith, is apparently closely allied to this species ; but no mention is made of the mesonotum being furrowed, and the metanotum is said to have a longitudinal carina in the centre ; the collar has "a minute tubercle in the middle," and the wings are hyaline. Petiole cojuposed of one joint {PsamniopJiihi). Ammophila HIRTICEPS, Sp. nov. Nigra; longe nigra Jiirta ; abdonmiis segnioitis 2 — / riifis ; alis fere hyalinis, apice funiatis, nervis nigris. Long, fere 15 mm. Antennae stout ; pilose ; the third joint about one quarter longer than the fourth. Head hardly punctured ; covered with long and black hair ; the face and clypeus densely covered with silvery pubescence ; apex of clypeus broadly rounded, almost sinuated in the middle ; ocelli nearly in a triangle ; the posterior separated from the eyes by about the length of the third antennal joint ; front hardly depressed. Thorax somewhat punctured ; the scutellum apparently indistinctly longitudinally striolated ; metanotum obliquely striolated, furrowed down the centre, and with a keel in the centre of the furrow. The one-jointed petiole is a little longer than the second segment, and is covered with long black hair, the fifth segment is red at the base. Above the second and third cubital cellules are sub-equal, and the former above is about three-fourths of the space bounded by the recurrent nervures ; the third cellule below is about half the length of the second, and is rounded at the apex below ; the third transverse cubital nervure bulges outwardly on the lower half, then retreats towards the second cubital nervure, thus making the third cubital cellule wider below than above. Claws reddish. Owing to the matting of the hair on the head and thorax, I am unable to make out the sculpture of these parts clearly. The species is a true PsamniopJiila. loo • Mr. Cameron on AmMOPHILA ERYTHROCErHALA, Fab. This large and striking species is a Pa7-apsaininophila^ The head is large ; the eyes reach only exactly opposite the level of the hind ocelli, the vertex being much more developed behind them than usual ; they are quite parallel, not converging at the bottom as in A. violaccipennis \ the antennae issue from nearly opposite their middle, and not so high up as in the latter species ; the clypeus does not project in the middle, and is truncated at the apex. The mandibles are very large and projecting, almost as in Ampulex. The neuration of the wings is very much as in Violaceipennis. Antennae black, pilose ; the 3 — 4 basal joints red, the third is nearly twice the length of the fourth.. AmMOPPIILA violaceipennis, Sp. 1101'. Nigra ; scapo antennaniin,petiolo pedibusqne, rufis ; coxis apiceqiie tarsoruni nigris, alls violaceis. $ Long. 29 mm. Head shining, sparsely punctured ; the clypeus and face covered with silvery pubescence ; the front and vertex with longish, blackish hair ; clypeus somewhat projecting ; the apex with a distinct margin, a little sinuated ; mandibles broadly red in the middle. The antennae incline to fuscous beneath, especially at the base ; the third joint is longer than the first and second joints united, and about one-fourth longer than the fourth. Thorax densel}- covered with blackish hair ; coarsely punctured ; the mesonotum rugosely striolated in the middle at the apex ; scutellum coarsely rugosely striolated ; metanotum coarsely rugosely punctured in the middle, at the sides obliquely striolated ; the pleurse coarsely rugosely striolated. Pygidium broadly rounded, pilose. Second and third cubital cellules above subequal ; the transverse cubital cellules elbowed towards the middle, thus making the third cubital cellule wider in the middle than at top or bottom ; the first recurrent nervurc is received Hyjnenoptcra Oncntalis. i.Oj before the middle of the cellule ; the second at nearly the length of the third cubital cellule at the bottom from the apex ; at the top the second cubital cellule is as wide as the space bounded by the recurrent nervures. This species belongs to Parapsanunophila, Taschenberg, which is chiefly distinguished from Ainnwphila and Psani- :viophila by the tarsal claws being bidentate at the base. Pelopoeus. Pelopoeus, Latreille, Hist, Nat. Ins. XIII. C/ialybiofi, Dahlbom, Hyni. Ent. I., p. 21. Catalogue of the oriental species of Pelopoeus : — 1. P. BENIGNUS, Smith, P roc: Linn.' See. II., loi, i nee P.Javaniis, I. c. Vol. III., 15, note. Hab. Borneo, Singapore, Java. 2. P. BENGALENSIS, Dahlbom, Hyni. Eur. I., 433, 2. Hab. India, Philippines, China, Mauritius. 3. P. BILINEATUS, Smith, Ann. and Mag. Nat. Hist. IX., 47 (1852). Hab. Bombay. 4. P. COROMANDELICUS, St. Fargeau, Nat. Hist. Ins. Hyni. III., 302, 2. P.fuscus, St. Fargeau, /.c 311,9. Hab. Coromandel, Bengal, Central India."" 5. P. CURVATUS, Smith, Trans. Linn. Soe. Zool. VII., p. 187.' Hab. Mainpuri, North-west Provinces. 6. P. FERVENS, Smith, Proc. Linn. Soe. II., loi, 2. Hab. Java, Borneo. 7. P. Javanus, St. Fargeau, Nat. Hist. Ins. Hyni. III., 306, 9. Hab. Java, Malacca. 102 Mr. Cameron on 8. P. Madraspatanus, Fabricius, Syst. Pierj. 203, 3. Hab. Bengal, Madras. 9. P. RICTUS, Smith, Cat. Hyiii. Ins. IV., 231, 22. Hab. India. 10. P. SEPARATUS, Smith, Ann. and Mag. Nat. Hist. IX., 47 (1852). Hab. Bombay. 11. P. SOLERI, St. Farg., Nat. Hist. Ins. Hym. III., 318, 18. Hab. India, (Smith). St. Fargeau gives Guadeloupe as the Habitat of this species. 12. P. SPINOL.E, St. Farg. /. c. 307, 4. Hab. Bombay, Ceylon. 13. P. SUMATRANUS, Kohl, VcrJi. z.-b. Ges., JVien 1883, P- 375- Hab, Sumatra. 14. VIOLACEUS, Fab., {SpJiex) Ent. Syst. II., p. 201, 12; Lep., Nat. Hist. Hym. III., p. 321 ; Andre, Species d» Hym. III., p. loi. Pepsis violaceo, Fab., Syst. Pie.z. p. 211, 16. Chalybion violaceiim. Dbm., Hym. Ent., p. 432, i. Pelopoeiis flebilis, Lep., /. c., p. 321, 22. Hab. Southern and Eastern Europe, " India," Java. PfiLOPOEUS BENGALENSIS. This is an external builder, erecting its nests on rough walls, or corners, on grass, or on leaves. When on a grass stem the mud is continued far up, thus breaking the out- line of the cell, which is in consequence not so readily observed. A solitary cell may be built, or over a dozen may be placed side by side, the whole being then covered well over with mud. (Home, Trans. Linn. Soc.NW. p. 163). Hynienoptera Orien talis. 103 Pelopeous madraspatanus. Of this abundant species (commonly called the mud- dauber) an interesting account is given by Home {Trans. Linn. Soc. VII., p. 161 — 163). In May, June and July the females are found congregating by small puddles near wells, treading the mud into little pellets of about the size of buck-shot, which, when ready, are brought in the mouth of the insect to the place where the nest is to be constructed. This is in the most various situations. In window-sills, in hollows in walls, in locks, in any cavity between the wall and door-frame ; in a depression on the floor, anywhere, in fact, inside or near a house. Home relates how one individual commenced to build in the corner of a door-frame, where it was crushed every time the door was opened. Six times did the industrious creature commence its habitation only to have it crushed every time. It takes about a day to complete a cell ; two, or three, or five are built together, the whole being then covered over with a smooth coating of mud, so that it looks like a dab of mud accidentally left on the wall. When the cell is finished it is filled with small spiders to the number of twenty. Spiders are the regular prey of the Pelopoeiis, but Home has also seen it store small green caterpillars. In the pupa state it remains from one to six months according to the season. Pelopeous bilineatus. Unlike P. Madraspatamis, this form does not frequent houses, but builds on hedges and trees, a favourite position being a fork in the bough of Lawsonia spinosa. As a con- sequence of the more exposed situation chosen for its nests, these are much more solidly built. Smith thinks that P. bilineatus is only a form of Madraspatamis. I04 Mr. Cameron on Pelopoeus javanus. Wallace states {Jour. Linn. Soc. Zool. XL, p. 296) that this species enters houses where it constructs small earthen cells, which it stores with paralysed spiders as food for its young. According to Maurice Maindron {Ann. Soc. Ent. Fr. 1878, p. 390) the largest nests are 7 centimetres long by 5 in breadth ; contain five cells and are made of treaded mud, almost black in colour, but covered in parts by a layer of white earth. The largest and external cell is incomplete and is formed of a whiter earth than the others. In form the nests are irregular and arched ; and Wallace (/. ^.) mentions that they may be plastered over with mud in an irregular manner, so that the shape is completely hidden. The cocoon is Je of an inch in length, and of a delicate brown colour. P. COROMANDELICUS. This species has frequently the scutellum and metanotum without the reddish spot. The clypeus is reddish towards the apex, which is incised in the middle. The mesonotum is transversely striated ; the scutellum finely longitudinally striated, but not nearly so strongly as the mesonotum ; the pronotum is depressed in the middle ; the second cubital cellule is not much narrowed above compared to the bottom, and is broad compared to the length ; the first recurrent nervure is received a little before the middle. Sphex. SpJiex, Fabricius, Ent. Syst. II., p. 198. CJilorion^ Latreille, Hist. Nat. Crnst. et Ins. IV., p. 57 {partivi). PronceuSy Latreille, loc. cit. IV., p. 56 ; Saunders, Trans. Ent. Soc. III., p. 58. Priononyx, Dahlbom, Hyni. Ent. I., p. 28. Harpactopiis, Smith, Cat. Hyni. Ins. IV., p. 264. Hyuicnoptera Orientalis. 105 I. Tarsal clazvs witJi a single tooth near the middle. = Chlorion, pt. Latr., Hist. Nat. des Crust, et Ins. III. ; Proiueus, Saunders, Trans. Ent. Soc. III., p. 58 (i 841). 1. Sphex CHRYSIS. Sphex ccBridca, Christ, {non Drury) Natiirg. Ins. p. 308, tab. 30, fig. 6. Sphex chrysis, Christ, I.e., p. 310, tab. 30, fig. 7 ; Kohl, Termes. Filzetek. IX., p. 173. Chlorion lobatum, Fab., Ent. Syst. II., p. 206, 30 ; Syst. Piez., p. 217, I ; Dahlbom, Hyni.Eur. I., p. 24, i ; St. Fargeau, Nat. Hist. Hym. Ins. III., p. 330, 3 ; Smith, Cat. Hym. IV., p. 237. Chlorion azureum, Lep. et Serv., Encycl. Meth. X., p. 451, 2 ; Lep., Nat. Hist. Hvm. Ins. 1 1 1., p. 329. Common in India all over ; also in Burmah, Singapore, 'Ceylon, China (Hong Kong) Penang and South Africa. 2. Sphex splendida. Chlorion splendidujn, Fabricius, Syst. Piez., p. 218, 5 ; Smith, Ann. and Mag. Nat. Hist. VII., p. 32 (1851). Sphex pulchra, Lep., Nat. Hist. Hym. Ins. III., p. 355. ProncBus Campbelli, Saunders, Trans. Ent. Soc. III., p. 58, tab. 5, fig. I. Hab. North India, Burmah, Bombay (Mus. Calcutta), Poona ( Wroiighton). 3. Sphex Melanosoma. Chlorion melanosoma. Smith, Cat. Hym. Ins. IV., p. 238 ; Magretti, B71IL Ent. Ital. XL, p. 578. Hab. Pondicherry ; Kassala (Magretti). 4. Sphex rugosa. Chlorion rngosnm, Smith, Cat. Hym. Ins. IV., p. 239. Hab. Sumatra. II. Tarsal claws bidentate ; second cubital cellule narrozved tozvards the radial, higher than long. — Harpactopns, io6 Mr. CAxMERON on 5. Sphex .egyptia. Sphex (sgyptia, Lep., Nat. Hist. Ins. Hym. III., p. 181 ; Kohl, Termcs. Fiizetek IX., p. 181 ; Taschenberg,. Zeits. f. d. ges. Natnriv. XXXIV., p. 412 ; Andre, Species d. Hym. III., p. 147. Sphex soror, Dahlbom, Hyin. Ent. I., p. 436. Sphex grandis, Radosz., Hor. Ent. Ross. XII., p. 132, 2. Harpactopus crudelis. Smith, Cat. Hym. Ins. IV., p. 264,. i., pi. vi., fig. 4. Hab. Eastern Europe, Syria, Egypt, Mauritius, Madras. 6. Sphex Nivosa. Harpactopus nivosus, Smith, Cat. Hym. Ins. IV., p. 265, 4. Hab. North India. III. Tarsal claws zvith three teeth — Ejiodia. 7. Sphex albisecta. Sphex albisecta, Lep., Nat. Hist. Ins. Hym. III., p. 358 ,^ Kohl, Termes. Fiizetek, p. 185 ; Andre, Species d. Hym. III., p. 130; J. H. Fabre, Souvenirs Entomologiqnes (1879) p. 174. Sphex albisecta, Lep. et Serv., Encycl. MetJi. X., p. 462, 2. Sphex trichargyra^ Spinola, Am. Soc. Ent. Fr. VII.,. p. 466, II. Enodia albisecta, Dahlbom, Hym. Ent. I., p. 28 and 438 ; Costa, Fauna Reg. Napoli p. 12, PI. i, fig. 3. Hab. South and Eastern Europe ; Africa, from Algiers to the Cape. India. 8. Sphex pubescens. Sphex fervens, Fab., Syst. Ent. I., p. 346 {nee Linne). Pepsis pubescens, Fab., Ent. Syst. II., p. 205. Enodia canescens, Dahlbom, Hym. Ent. IV., p. 28. Enodia fervens, Dahlbom, /. c. p. 439. Parasphex fervens. Smith, Cat. Hym. Ins. IV., p. 267. Sphex pubescens. Kohl, Termcs. p. 188 ; Andre, Species. d^ Hym. Ill,, p. 130. Hyincnoptera Orten talis. 107 Hab. Eastern Europe, Algeria, Guinea, Sierra Leone, Gambia, Cape of Good Hope ; India, Madras, Tirhoot {Rothney), and North Bengal ; China. IV. Tarsal claws ivith two teeth. (Sphex sejisti str.). 9. Spiiex. apicalis. Sphex apicalis, Smith, Cat. Hyni. his. IV., p. 253 {non Smith, /. c. p. 262). Hah. Sumatra. TO. Sphex argentata. Sphex. argcntifrons, Lep. Nat. Hist. Lis. Hym. III., p. 337 ; Kohl, Termcs Fiizetek IX., p. 196. Sphex argentata, Fab. Ent. Syst. II., p. 196 ; Dahlbom, Hym. Ent. I., p. 25. Andre, Species d. Hym. III., p. 143 ; Smith, /^/^r. Linn. Soc. (1869), p. 361. Sphex albifrons, Lep. Nat. Hist. Ins. Hym. III., p. 337, $ . Sphex metalica, Taschenberg, Zeits. f. d. ges. Nat., Halle. XXXIV., p. 414. Hab. Eastern* Europe, North Africa, China, Japan, India (all over), Ceylon, Java, Amboina, Celebes, New Guinea, Aru, Ceram, Morty Island ; Africa, from Egypt to Senegal, Sierra Leone, Angola, Gaboon, Guinea. 11. Sphex aurifrons. Sphex aurifrons. Smith, Proc. Linn. Soc. III., p. 1577, 3. Hab. Java, Celebes, Aru, Africa. 12. Sphex aurulenta. Sphex aurulenta, Fab., Ent. Syst. ; Kohl, Termes. Fiizetek IX., p. 194. Pepsis seficea. Fab., Syst. Pie::;., p 211. Sphex sericea, Dahlbom, Hym. Ent. I., p. 26, 7 ; Lep., Nat. Hist. d. Ins. Hym. III., 341, 12. Sphex fabrecii, Dahlbom, /. c. p. 27 and 438. Sphex ferruginea, Lep., Nat. Hist. Ins. Hym. III., p. 345, 18. Sphex lincola, Lep. /. c. p. 353, 27, $. io8 Mr. Cameron on Sphex ferox, Sn\\\\\ Jour. Linn. Soc. IV., p. 55. Sp/iex Lepeletierii^ Saussure, Reise d. Novara, Hyiii. p. 40, 8. Sphex Godeffroyi, Saussure, Stett. Ent. Zeit. XXX., p. 57. Hab. China, India, very common in Bengal {Rothney), Poona( W^r^??/^///^;/), Ceylon, Java, Borneo, Sumatra, Celebes, Amboina, Manilla, Malacca, Ternate, Waigion, Bachian, Ceram, Aru, Timor, Floris, Australia, Cape York. 13. Sphex erythropoda. Cam., infra. Hab. India {Mns. Cal.). 14. Sphex flavo-vistata. Sphex JIavo-vistata, Smith, Cat. Hyni. Ins. IV., p. 253, 56. Hab. India. 15. Sphex nigripes. Sphex nigripes, Smith, Cat. Hym. Ins. IV., p. 253, 56; Kohl. T emu's. IX., p. 197, 32. Hab. Hong Kong, Java, Kaschmir. 16. Sphex Rothneyi, Cam., infra. Hab. Allahabad ; Mussourie Hills. 17. Sphex rufipennls. Sphex ntfipemiis, Fab., Ent. Syst. II., p. 201, 10 ; Kohl, Ternies Fiisek., p. 198, 33 ; Andre, Species d. Hyni. III., p. 149 ; Lep., Nat. Hist. Ins. Hyni. III., p. 334, I ; Dahlbom, Hym. Ent. I., p. 436, 6; Taschen- berg, Zeits.f d. g. Naturw., Halle, XXXIV., p. 41 1. Pepsis rnfipefinis, Fab., Syst. Pies., p. 210, 12. Sphex diabolicus, Smith, Proc. Linn. Soc. II., p. 100, 3. Sphex fiilvipennis, Mocsary,Magy. Ak. Terin.Ertek. XIII. Hab. North Africa, India ; not uncommon in Bengal. 18. Sphex vicina. Sphex vicina, Lep., Nat. Hist. Ins. Hyni. III., 343, 16. Hab. India. Hymenoptera Orien talis. 109 19. Sphex zanthoptera, Cam., hifra. Hab. Barrackpore, Mussourie Hills {Rothney). Sphex splendida, Fab. Rjtfa, abdoviine negro-cccnileo ; alls flavo-hyalinis, apicc fwnatis, nervis nifo-testaceis. Long. 17 mm. Scape of antennae on lower side bearing short black, bristly hairs ; the second joint curved inwardly on the inner side ; the third thin, more than one-half longer than the fourth. Head almost shining, sparsely covered with black hairs ; the front and vertex closely punctured ; the face and clypeus more shining, imperceptibly punctured ; the labrum and clypeus fringed with short black hairs, the latter with two short stumpy teeth on either side of the middle ; a thin furrow runs down from the vertex to the ocelli ; the central part of the vertex slightly raised, but not forming a distinct field. Mandibles bearing long black hairs ; and some stout furrows towards the middle tooth ; the apex is black. Palpi reddish. Thorax shining, sparsely covered with short black hair ; the pronotum strongly striolated ; the top shining, impunctate, and with a wide and deep furrow in the centre. Mesonotum with scutellum very shining, almost glabrous, sparsely and minutely punctured. Median seg- ment striolated, depressed in the centre and with a furrow along the sides above; the apex rounded, semi-perpendicular, and bearing long black hair ; the oblique furrow on pleura is wide and deep, and is divided at the top by an oblique raised projecting part. Abdomen shining ; sparsely punc- tured ; pygidial area covered with long black hairs. Legs longish ; the hinder row of spines on the hind tibiae black ; the others reddish, and there is a tuft of black spiny hair on the apex of the hinder femora. Tarsal spines thick and stout ; metatarsal brush short, thick, reddish. There are some stiff black hair on the hinder tarsi before the claws. Second cubital cellule a little wider at the bottom than at no Mr. Cameron on the top, which is a little longer than the top of the third cellule, the latter being very much narrowed at the top, the bottom being more than twice the length of the second cellule, and its apex reaches near to the apex of the radial cellule. The first recurrent nervure is received a little beyond the middle of the cellule ; the second quite close to the second transverse cubital nervure. Sphex aurulenta, Fab. A variable species. The commonest Bengal form is the var. aiumlenta Fab. = Fabricii, Dbm. ^ femiginea, 'Le^.=godefroyi, Saussure. The var. sericea, \^q'^. = Lepele- tierii, Sauss. also occurs ; but I have not seen any Indian specimens that could be referred to the var. sericea Fab.= ferox Smith, a form chiefly distinguishable from var. Lepc- letierii by the hair on the pleurae and middle segment being blackish-brown. The S from Bengal is the typical lincola Lep. The hair on the head and thorax is hoary white; the wings are hyaline, smoky at the apex ; the abdomen black, the base and the segments at the apices above and beneath reddish ; the tegulae and legs are blackish. A $ var. also is met with ; it has the legs red, except at the base and the tarsi : the tegulae are red ; the hair cinereous ; and the abdomen may be red from the petiole, or red only at the base as in the typical Hneola. This does not quite agree with the description of >Sf. velox, Smith, which has the hair fulvous. Sphex erythropoda, sp. iwv. Nigra, fusco pitbescens ; pedibiis rufis ; basi apiceqiie tarsortun, nigris ; alis flavo-hyalinis, apice fninatis. Long. 15 — 18 mm. Antenna of the usual length ; covered with a sericeous pile ; the third joint not much shorter than the fourth and fifth united. Head shining, bearing a scattered punctua- Hyinejioptera Orientalis. 1 1 1 tion ; the front and vertex sparsely covered with longish blackish hair ; the cheeks, face, and clypeus densely covered with silvery pile and with longish fuscous hair. Eyes slightly converging beneath ; the ocelli hardly forming a triangle ; a furrow along their side, the furrows meeting into a V-shaped depression, which has a sharp raised pro- jection in its centre, Clypeus broadly rounded, the apex depressed and with a short incision in the centre. Thorax sparsely covered with a fuscous to black pubescence ; the pubescence on the middle segment dull fulvous. Pro- notum with a distinct and broad depression in its centre ; the mesothorax is also slightly depressed in the centre, and the scutellum and post scutellum are distinctly and broadly furrowed. Median segment transversely and regularly striolated ; a wide and deep furrow in its centre at the apex, and there is an elongated pear-shaped depres- sion on the upper part. Abdomen shining, with a plum- beous tint ; the petiole covered with long black hair, and a little longer than the coxae ; the pygidial area shagreened, and with a few scattered punctures. Legs with the coxae, trochanters and four apical joints of the tarsi and the spines on the hinder tibiae, blackish. In the colour of the body and pubescence this species comes nearest to ^. ntfipennis, but is readily known from it by the reddish legs. It can hardly, I think, be an extreme variety of 8. mtmlenta, from which, apart from the dif- ference in coloration of the head and thorax and their pubescence (comparing the females), it differs in having the pronotum more distinctly raised above and separated from the mesonotum, besides being broadly furrowed in the centre ; the mesonotum and scutellums are also broadly furrowed, and the median segment, instead of having three or four raised ridges, is uniformly and regularly striolated. The amount of black on the tarsi varies, as does also the colour of the spines and wings, the latter in one specimen 112 Mr. Cameron on having the j-ellow tint very feebly developed. The tegular are for the greater part black. I have seen four females in the Calcutta Museum col- lection. Sphex rufipennis, Fab. This species appears to be a common one in India. The colour of the wings varies, the base, especially in the form diabolicus. Smith, being more or less blackish, and the yellow tint is something suffused with fuscous. S. rufipennis has been recorded from South America, but inasmuch as the $ genitalia differs considerably from that of the Indian form, it is probable that the American form, notwithstanding its almost identity in coloration, size, &c., really represents a different species, which I have provisionally named *S. erytJiroptera (Biol. Cent. Am. Hynn. II., p. 30). The form of the scutellum varies in being more or less deeply furrowed. The S. rnfipennis. Kohl (Ternies. Fnrjetek, IX., p. 198), is, as I am informed by Kohl, a different species from rufipennis. Fab. — Inteipennis, Mocsary, the latter differing from nifipennis, Kohl in having the post scutellum bituberculate, the antennae thinner, and the wings black at the base. Sphex argentata. This large species is common all over the Oriental region, extending also into the Australian Islands of the Malay Archipelago. It is stated by Wallace (Jour. Linn. Soc, XI., p. 296) to be common in the sandy streets of Dobbo, in the Aru Islands, and also at flowering shrubs in Celebes, Sphex Rothnevi, sp. nov. Nigra; capite et thorace dense et longe argenteo pilosis; abdoniine pedibusqite riifis ; coxis, trocJiantcribus basique femorum, rnfis ; alis Iiyalinis, apice fumatis ; clypeo inciso. Long. 22 — 24 mm. HyDienoptera Orientalis. .IJ.3 The face is densely covered with long silvery white hair ; the front and vertex densely pubescent and covered sparsely with long gray hair ; clypeus rounded. The central incision narrow ; eyes slightly converging towards the bottom ; mandibles reddish ; black at base and apex. Antennai pubescent ; the third joint fully one-half longer than the fourth, which is a little longer than the fifth. Thorax densely covered with a silvery pile ; the pronotum above, the metathorax and the pleurae thickly covered with cinereous hair ; a thick line of silvery hair along the tegulaj on the mesonotum ; finely punctured ; the scutellum shining,, bearing distinct punctures, and furrowed down the centre. Median segment with some stout transverse furrows, opaque ; rounded and narrowed at the apex and nearly as long as the mesothorax. Petiole black, covered with grey hair ; and one-half longer than the hind coxae. Abdomen shining, indistinctly punctured, elongate, sharply punctured at base and apex ; the apical segments more distinctly punctured. Legs longish ; broadly black at the base ; the tibial spines red ; the tarsal reddish in part ; the calcaria black, red at the extreme apex. The second cubital cellule is oblique, of equal width at top and bottom and receives the recurrent nervure a very little beyond the middle ; the third cellule is longer at the bottom than the second, but at the top is less than one-fourth of the length ; the recurrent nervure is received before the middle of the cellule. The $ does not differ in coloration or sculpture from the $. The tegulae are reddish. The form of the cubital cellules and the position of the recurrent nervures vary. In form this species approaches closely to S. piibescens ; but the black legs of that insect distinguish it at once. SpHEX XANTHOrXERA, Sp. nov. Nigra, argenteo sericeo pubescens ; facie, plenris, pronoto metathoracegtie, longe cinereo pilosis ; alis flavo-Jtyaliiiisy apice fumatis. Long. 17 — 18 mm. I 114 M^- Cameron on Head closely and minutely punctured ; the pile close ; the hair on the face and clypeus long and thick ; clypeus projecting in the middle, not incised ; roundly arched in the male, which has the hair golden ; the hair on vertex and front longish, sparse and pale. Mandibles reddish in the middle. Thorax finely punctured ; the metanotum trans- versely striated. The pile is close and dense ; on the pronotum above ; the mesonotum at the sides ; and on the metathorax the hair is longish and dense ; on the meso- pleurae it is scarcely so thick. Petiole a little longer than the hind coxae, densely covered with silvery white hair of moderate length ; abdomen sericeous, bluish towards the apex. Legs : coxae densely covered with long silvery hair ; the femora and tibiae sericeous ; the latter thickly spinose ; the claws armed at the base with two stout longish teeth. The tibiae with some stout spines. The second cubital cellule is a little longer at the top than at the bottom, and receives the first recurrent nervure at its extreme apex ; the third cubital cellule at the top is one half of the space bounded by the first transverse cubital nervure and the second recurrent. The male differs in having the hair longer and the pile denser ; the clypeus more projecting and broadly rounded at the apex ; the abdomen is longer. TRIROGMA. Trirogma, Westwood, Trans. Ent. Soc. Ill,, 223. I. Trirogma cceriilea, Westwood, /. c., 225, t. 12, f 3 c? ; Arc. Ent. II., 66, t. 65, f 4?. Hab. Barrackpore {Rothney), Poona ( Wronghton), Nor- thern India, Madras, Ampulicid.e. Rhinopsis. ' Rhinopsis. Westwood, Arcana Ent. II., 68. Hyvienoptera Orien talis. 115 RJdnopsis is chiefly distinguished from Ampulex by the wings having only three cubital cellules, the first and second being confluent, and by the body not being metallic green or blue. Rhinopsis RUFICORNIS, sp. nov. Niger, antennis, ore, thorace, petiolo, tarsisqiie, rufis ; alis hyalinis, fnsco bifasciatis ; nervis sordide testaceis. ? Long. •10 mm. Antennae shorter than the thorax ; the basal joint curved, as long as the third, which is two-thirds longer than the fourth. Head coarsely alutaceous, almost punctured ; the front keeled, but not distinctly, the keel being interrupted at the base and apex ; eyes parallel. The keel on the clypeus projects at the apex into a stout sharp tooth, and there is a shorter and blunter tooth on either side of this. Prothorax a little shorter than the head ; the top part raised, narrowed and separated from the lower, and deeply fur- rowed in the centre ; the prosternum and extreme base of pronotum black. Meson otum shorter than the prothorax, parapsidal furrows slightly diverging at the base, and there is an indistinct furrow between them. Meta- longer than the meso-thorax ; the metanotum with a broad, shallow, somewhat oblique, depression on either side ; in the centre (between the depressions) are three keels, the central straight, the lateral converging towards the apex ; but none of them reach the apex of the metanotum. The meta- pleurae are smooth, shining, impunctate ; the rest of the metathorax strongly transversely striolated, running in parts into reticulations. The apex is rounded, margined ; a blunt tooth on either side, and the apex roundly and shallowly incised. The apex is almost perpendicular, broadly fur- rowed in the centre, and covered with a moderately long white pubescence. Pro- and mesonotum coarsely aciculated, sparsely covered with a white pubescence. Petiole smooth, shining, clavate at the apex ; second abdominal segment as ii6 Mr. Cameron on long as all the succeeding segments united ; the latter above (especially at their junction), as well as the sides of all, covered with a short pale pubescence. Legs covered with a white pubescence, the femora thickened in the middle, the second cubital cellule is narrowed towards the top ; the transverse cubital nervures are straight. Wings not much longer than the thorax. This species is closely related to the European R. rufi^ collis, Cam., but is much larger, the antennae and tarsi are red, the metanotum is entirely red, the wings are shorter and not so broadly infuscated in the middle, and with the nervures for the greater part testaceous ; and the apex of the petiole is much narrower, thinner, and more club-like. 1. Ampulex compressa. Ainpulex, Jurine, Hyin. 134. Sphex compressa, Fab., Ent. Syst. II., 206, 32. Ampulex compressa, Dahlbom, Hym. Eur. I., p. 29 ; Lep. Nat. Hist. Lis. Hym. III., p. 325, i ; Smith, Proc. Linn. Soc. (1869) p. ^i^^)- Chlorion compressum, Fab., Syst. Pies. p. 219, 7 ; West- wood, Trans. Ent. Soc. III., p. 227. A common species, generally distributed over the region. It preys on Blattidse. 2. Ampulex hospes. Ampulex hospes, Smith, Cat. Hym. Lis. IV., p. 272, 12;^ Proc. Linn. Soc. II., p. 981. Hab. Borneo. 3. Ampulex smaragdina. Ampulex smaragdina, Smith, Proc. Linn. Soc. II., 19, 3. Had. Singapore. ■4. Ampulex insularis. Ampulex insular is, Smith, Proc. Linn. Soc. II., p. 99, 4. Hab. Borneo, Malacca. Hymicnoptera Orientalis. Wj 5. AmpidexiJ) annulipes, Motsulsky, Bull. Mosc. XXXVI., (1863). Hab. Ceylon. Waagenia. Waagenia, Kriechbaumer, Ztett. Ent. Zeit. XXXV., 1874, p. 51. I. Waagenia sikkimensis, Kriechbaumer, /. c. Hab. Sikkim. LARRIDAE. The specific discrimination in this family is at the best a work of some difficulty, and the identification of Smith's species is rendered, in many instances, almost impossible from the absence in his descriptions of any details of structure. Pending an opportunity of studying his types I have left over for future study various species of Notogonia and allied genera. PiSON. Pison, Spinola, Ins. Lig., II., 255 ; Kohl, Verh, z.-b, Ges. Wieii, 1884, 180. 1. P. (Parapison) agile. Parapison agllis, Smith, Trans. Ent. 80c., 1869, 300, 4, Hab. Ceylon. 1. P. (Parapison) erythropus, Kohl. Parapison riifipes, Smith, Trans. Ent. Soc, 1869, 299, 2 ; Tians. Zool. Soc, VII., 188, pi. xxi., fig. \2i. {non Shuck.) Hab. Mainpuri, North-west Prov. {Home). 2. P. (Parapison) obliteratum, Pisonoides obliteratus, Smith, Jonr. Proc. Linn, Soc. Zooly XII., 1857, 104, Hab. Borneo ( Wallace). ii8 Mr. Cameron on 3. P. PUNCTIFRONS, Shuckard, Trans. Ent. Soc. II., 1837, P- 77, 5- Hab. " India or St. Helena." 4. P. (PISONITUS) RUGOSUM, Smith, Gat. Hym. Ins., IV., 313, 3- Pisonites riigosns, Smith, Trans. Zool. Soc.Yll., 188, pi. XXL, fig. 5a. ?. Had. Mainpuri, North-west Province {Home), Calcutta {Rothney), Poona ( Wroughton). 5. P. SUSPICIOSUM. . Pison suspiciosns, Smith, Jonr. Linn. Soc. Zool. II. (1857), 104. Hab. Singapore ( Wallace). TRYPOXYLON. Trypoxylon, Latreille, Pric. Car. Gen. Ins. ; Kohl, VcrJu z.-b. Ges. Wien. (1884), 190. 1. TRYPOXYLON ACCUMULATOR, Smith, Traus. Ent. Soc. (1875), p. 38. Hab. Barrackpore {Rothney). 2. T. BICOLOR, Smith, Cat. Hym. Ins. IV., p. ^:i'j7. Hab. Singapore, Java. 3. T. Buddha, Cam. infra. Hab. Barrackpore {Rothney). 4. T. CANALICULATUM, Cam. iiifra. Hab. Barrackpore, Mussourie Hills. 5. T. COLORATUM, Smith, Jour. Linn. Soc. Zool. II., (1857), 106, Hab. Borneo ( Wallace). 6. T. GENICULATUM, Cam. i///m. Hab. Barrackpore. Hymenoptera Orientalis. 119 7. T. INTRUDENS, Smith, Trans. Zool. Soc. VII., 188. Hab. Mainpuri, North-west Provinces {Home), Allaha- bad {Rothney\ Ceylon {Lewis). 8. T. JAVANUM, Taschenberg, Zeits. f. d. ges. Natiirw. XLV., 378, 13- Hab., Java. 9. Nigricans, Cam., infra. \ Hab., Barrackpore {Rothney). 10. T. PETIOLATUM, Smith, Jour. Linn. Soc. Zool. 1857, 105. Hab. Borneo ( Wallace). 11. T. PILIATUM, Smith, Cat. Hyjn. Ins. IV., 377. Hab., Madras. 13. T. REJECTOR, Smith, Trans. Zool. Soc. VII., p. 189. Hab., Mainpuri, North-west Provinces. 14. T. TINCTIPENNE, Cam. in/j^a. Hab. Barrackpore. TRYPOXYLON REJECTOR. The habits of this species are but imperfectly known. Home found the cells, which are formed of arenaceous mud, and appear very delicate and fragile, but from the strength of the cement used are really tenaceously held together. They are attached to straws usually under cover and con- structed chiefly in September. Trypoxylon Buddha, sp. nov. Nigrum ; fusco pilosum; pimctatum ; fronte fortiter punctata; metanoto transverse striolato ; alis hyalinis ; Long. 9 — 5 mm. Hab. Barrackpore {Rothney). Antennae subclavate ; covered with a close pile ; the third and fourth joints subequal. Head fully broader than the thorax ; the front shining, almost bare ; the clypeus and . I20 Mr. Cameron on lower part of cheeks densely covered with silvery hair. Front raised, furrowed down the centre, bearing large, distinct punctures, narrowed before the antennae into a wedge. The eyes at top are separated by the length of the second and third antennal joints united ; ocelli rather widely separated ; clypeus with a raised margin, sharply rounded at the apex. Mandibles reddish beyond the base. Thorax shining, covered with long fuscous hair ; mesonotum rather strongly punctured ; the scutellum and fore part of the mesopleurae slightly punctured ; the hinder part of the latter impunctate. Metanotum strongly transversely striolated, the strise wide apart ; there is a wedge-shaped depression in the centre of the upper part ; the depression with a keel down its edges ; there are two lateral keels and the posterior part of the metanotum is widely excavated in the centre ; this portion having a gradual rounded curved slope. Petiole as long as the mesothorax, clavate ; fully one-third longer than the second segment ; the latter is a little longer than the third, and both have an elongate fovea on the top at the apex. At the apex the abdomen is sparsely pilose. Femora sparsely haired ; tibiae and tarsi closely pilose ; spurs pale testaceous. Trypoxylon accumulator. In this species the front is not much raised on either side of the central furrow, which is wide but shallow ; the eyes at the top are separated by about the length of the third antennal joint, at the bottom below the antennae by fully more than the length of the third. The third joint of the antennae is nearly one-half longer than the fourth. Clypeus broadly carinate, the apex projecting, broadly rounded. Petiole longer than the thorax, rather abruptly dilated towards the apex ; the second segment distinctly shorter than the third. Hynte7ioptera Orien talis. 121 Trvpoxylon tinctipennis, sp. nov. Nigrum; abdominis segmentis 2°^^" rufis ; calcaria alius; clypeo et facie dense argenteo pilosis ; tliorace longc albo piloso ; alls fere hyalinis, apice late fnscis. 9. Long. 12 mm. Hab. Barrackpore. Antennas covered with a silvery down, the third joint about one-fourth longer than the fourth ; the fourth and fifth slightly curved on the lower side. Front and vertex opaque, finely punctured. Front ocellus situated in a pit ; the front before it raised on either side into a roundish elevation, the two being separated by a furrow, at the end of which is a fine straight keel, which reaches near to the base of the antennae. Eyes at the top separated by the length of the third and fourth joints united ; below reaching to the edge of the clypeus ; below the antennae they are separated by about the length of the second and third joints united ; clypeus slightly concave, the apex scarcely rounded, being straight to near the centre. Palpi testaceous at apex ; mandibles rufous at tips. The pubescence on the front and vertex is fuscous and very short, on the rest of the head long and silvery white, being especially close and thick below the antennae. Thorax shining, almost impunc- tate and with a plumbeous tinge ; the mesonotum bears a sparse short pubescence ; the pleurse and sternum are more densely covered with longer silvery white hair. At the end of the metanotum there is, in the middle, a bell-shaped depression ; the median segment is deeply depressed in the middle, the depression being widest at the base and continuous with that at apex of metanotum ; its sides are striated. Petiole dilated at the apex and nearly as long as the thorax, and considerably longer than the second and third segments united. The second segment is a little shorter than the third. Legs pruinose, the coxfe bearing longish silvery hair ; the femora are sparsely haired. 122 Mr. Cameron on Trypoxylon canaliculatum, sp. nov. Nigrum ; palpis, trocJianteribiis^ geniciilis, calcaria, tar- sisque anterioribus, flavo-alhis, tibim anticis fiUvis ; alls hyalinis, apice fere fimiatis ; tegtilis rtifo-testaceis ; apice petioli abdominisgtie segmentis 2 / j riifis. Long. 9 — 10 mm. Antennae covered with a hoary down ; the scape testaceous beneath ; the flagellum more or less fuscous ; the third joint nearly one-half longer than the fourth. Head opaque, closely punctured ; the clypeus, face, cheeks, and eye incision covered with short silvery hair, only visible in certain lights. Front slightly raised, furrowed in the centre ; a not very distinct keel at the end of the furrow. Clypeus bluntly carinate in the centre ; the apex gaping the margin slightly curved before the middle, which is rounded. Eyes at the top separated by fully the length of the third antennal joint ; below the antennae, by hardly the length of the third. Mandibles rufous. Pro- and meso- thorax shining, impunctate ; the sides and breast covered with longish white hair. Metanotum shining ; a wide de- pression in the centre, the depression becoming gradually widened to near the apex, which is rounded ; on either side of this is a narrow furrow, of nearly equal width and con- verging towards the apex ; both are transversely ribbed ; metapleurae finely obliquely punctured. Median segment widely furrowed in the middle, and covered with white hair. Petiole as long as the thorax, broadly dilated at the apex, and tuberculated at the basal fourth ; the second segment distinctly shorter than the third ; sides of apical segment distinctly margined laterally ; indistinctly keeled in the middle. Legs pruinose ; the coxae bearing white hair. Hab. Barrackpore, Tirhoot, Mussoorie Hills {Rothney). Trypoxylon piliatum. Several specimens from Barrackpore are probably refer- Hynioioptera Ori en talis. 123 rablc to this species. The antennae bear a short white pile, and have the third joint less than one-fourth longer than the fourth. The cheeks, eye incision, and clypeus are densely covered with silvery pubescence ; the front and vertex are shining, minutely punctured ; and there is in the latter a large depression, rounded behind, triangular in front, with a distinct raised margin ; from the middle (at the angle) a short keel runs to the eye incision ; and from the apex a stout keel runs to the antennae. At the top the eyes are separated by the length nearly of the second and third joints united. The two hinder ocelli are placed in round depressions, and are separated by a margin ; the front ocellus is placed in the large frontal area. The meta- notum is strongly transversely striolated ; at the base in the centre there is a wide furrow, twice longer than broad, surrounded by a broad margin ; and on either side of this is a broad furrow which unites into a broad furrow running down the centre to the apex. The metapleurse are much more finely and closely striolated. The mesonotum is finely punctured, and is of almost an olive hue. The abdomen is more than twice the length of the head and thorax united. The petiole is nearly twice the length of the second joint. The calcaria are pale. The peculiar shield-shaped depression separates this species readily from the others. Trypoxylon intrudens. Smith has named doubtfully some specimens in Mr. Rothney's collection as this species. They have the head rather strongly punctured ; the front furrowed in the centre; the eyes at the top separated by the length of the third antennal joint ; there is a wide furrow in the centre of the metanotum, with a curved narrower furrow on either side of it, meeting at the central apical furrow. The furrows trans- versely striolated ; the rest of the metanotum finely punc- 124 Mr. Cameron on tured. The petiole is more than half the length of the abdomen, and is dilated not far from the base, and clavate at the apex. On the whole the specimens agree fairly well with Smith's description, except in what he says about the metanotum, which has " a deep central longitudinal impression ; a semi- circular enclosed space at the base of the metathorax, which is transversely striolated." T. intriulens was bred from cells constructed by Para- 'pison Tujipes. Larra. Larra, Fabricius, Ent. Syst. II., 220; Kohl, Verh. z.-b. Ges., Wien 1884, 233 {iion Smith, \N\i\c}a. = Stigmiis). Larrada, Smith, Cat. Hyiii. Ins. IV., 274. Smith included in Larrada, at least three genera, namely, Larra, Notogonia, and Liris ; probably also Tachysphex. From his description it is impossible to make out to which of these groups the majority of his species belong, as he does not mention the structural details on which the genera mentioned are grounded. In these circumstances I have been compelled to leave over for future examination, by means of Smith's types, several species of Notogonia. At the best the species are exceedingly difficult to discriminate, the points separating the species being usually minute struc- tural details, most of which are not mentioned by Smith at all. The following is a list of Larra sensic lat., i.e., of those species which cannot, without an examination of the types, be referred to their precise genus, and which may belong to Larra^ Notogonia, Liris, or Tacky spJiex. I. Larra alecto, Smith, Jour. Linn. Soc. Zool. II., 103, 6. Hab. Singapore. \ Hymenoptera Orientalis. 125 2. L. CARBON ARIA, Smith, /. C. I02, 2. Hab. Singapore. 3. L. CONSPICUA, Smith, Cat. Hym. Ins. IV., 276, 7. /2^(^^. " India." 4. L. EXILIPES, Smith, Cat. Hym. Ins. IV., 278. Hab. Northern India. 5. L. EXTENSA, Walker, An7i. Mag. Nat. Hist. (3) V., 504. Hab. Ceylon. 6. L. LABORIOSA, Smith, Cat. Hym. Ins. IV., 278, 12. Hab. Philippines. 7. L. MAURA, Fab., Ent. Syst. II., 212, 55, Smith, Cat.. Hym. Ins. IV., 277, 9. //«^. Tranquebar. 8. L. POLITA, Smith, /(?//?'. Linn. Soc. Zool. II., 102, 4. /r«(^. Borneo, Sarawak. 9. L. SYCORAX, Smith, /(?;/;'. Z/;/«. 5(9r. Zool. II., 102, 3. i/^f7/;. Borneo. 10. L. TisiPHONE, Smith, /^w. Linn. Soc. Zool. II., 103, 5. Hab. Borneo. 11. L. TRISTIS, Smith, Cat. Hym. Ins. IV., 277, 10. Hab. Borneo. 12. L. VESTITA, Smith, Am. Mag. Nat. Hist. XII., 11. Hab. North India. I. Larra simillima. Smith, Cat. Hym. Ins. IV., 275, 5. The eyes on the top are separated by the length of the second and third antennal joints united ; the vertex has a broad curved depression behind the ocelli and along the sides of the eyes, the centre being raised ; there is an indistinct longitudinal furrow in the centre behind ; the clypeus is margined, broadly transverse in the middle ; the front excavated. The antennae are stout : covered with a 126 Mr. Cameron on whitish pile ; the second joint is half the length of the third. The pronotum has a slight incision in the middle behind ; obliquely excavated laterally; shining and finely punctured. The meta- is as long as the mesothorax, and is strongly transversely punctured ; the puncturing being much stronger than on the mesothorax ; the sides of the meta- notum are somewhat depressed ; the pleurae becoming narrowed from the top to the bottom. Pygidial area shining, polished, with a few indistinct scattered punctures along the sides and apex ; the sides with a raised margin and with a furrow on the inner side of this margin ; the apex broadly rounded, almost truncate. Oi Larra personata, Sibi, from Celebes, Smith remarks, ^' This is probably merely a variety of L. siniillinia^ wanting the black apex to the abdomen." Hab. Tirhoot, Bengal {Rothncy) ; " Africa " (Smith /. c). 2. Larra, Sumatrana. Kohl, Verh. z.-b. Ges, Wien, 1888, 354. Hab. Sumatra. 3. Larra fuscipennis, sp. nov. Nigra, argenteo pilosa, abdominis diniidio basali rufo, medio nigro, alis fusco-fumatis, hasi sub Jiyalinis. Long. 12 — 13 mm. Hab. Tirhoot {Roihney). Antennae short, thick, tapering perceptibly towards the apex ; the second joint nearly three-fourths of the length of the third, which is fully one-fourth longer than the fourth. Head shining, strongly punctured ; the punctures distinctly separated. Ocellar region not raised and separated ; a broad, transverse curved furrow behind it ; above the front there is a broad margin. Eyes almost parallel ; at the top separated by the length of the third and fourth antennal joints. Clypeus not, or hardly, projecting in the middle ; the Hymenoptera Orient alls. 127 apex broadly projecting, and with a distinct incision in the middle. Thorax half shining, coarsely punctured ; the metathorax more closely punctured than the mesothorax, and densely covered with white hair ; pleurae and sternum shining, the punctures widely separated. Pro- and meso- thorax closely covered with dull whitish pubescence. Pro- notum in the middle projecting into the mesonotum, which is thus incised broadly. Meta- longer than the mesothorax, the apex perpendicular, indistinctly furrowed in the centre. Abdomen as long as the thorax ; covered closely with white pubescence (sparsely on the top of the second and third segments), the apex rather acutely pointed. Pygidial area punctured ; covered with a soft white pubescence ; the sides not keeled, the apex incised. The basal two segments are red, broadly black in the middle ; the ventral segments are pale at their junction, Legs covered with soft cinereous pubescence, tibial and tarsal spines white ; calcaria black ; metatarsal brush pale. The second cubital cellule at the top is half the length of the third and hardly the length of the space bounded by the current nervures. Hab. Tirhoot, Bengal {RotJiney). 4. LARRA NIGRIVENTRIS, Sp. 710V. Nigra, fere nitida, prjihiosa, mctatJiorace opaco, striolato, fere longiore quain mesothorace ; alis fere fiavo-hyalinis ; apice fuscis, nervis fiavo-testaceis. Long. 12 mm. Antennae the length of the thorax, rather stout, covered with a silvery pile ; the second joint one-third of the length of the third, which is hardly one-fourth longer than the fourth. Head wider than the thorax ; opaque, alutaceous ; eyes at the top separated by more than the length of the third antennal joint ; vertex depressed, a wide furrow along either side, close to the eyes ; a shallow and less distinct furrow in the centre, leading to and from the ocellus round 128 Mr. Cameron on which it bifurcates, becoming wider and more distinct after leaving it ; the presence of the hinder ocelH is not indicated, and the anterior is elongated, being longer than broad, and sharply pointed at base and apex. Face, cheeks, and clypeus densely covered with silvery pubescence. The clypeus slightly projects towards the apex, and is indis- tinctly carinate down the centre ; the apex is broadly rounded, almost truncate. Base of mandibles densely covered with short silvery pubescence ; the apex is broadly red, thorax opaque, alutaceous, covered with a sericeous short pubescence ; pronotum ending in a rounded part in the centre ; mesonotum truncated at base ; metathorax nearly longer than the mesothorax ; not very distinctly striolated, except at the sides and apex ; the latter semi- oblique, furrowed in the middle, the sides densely covered with silvery pile. Abdomen pruinose, hardly longer than the thorax, the apex acute ; the pygidial area very shining and bearing a few punctures. Radial cellule not reaching to the apex of the third cubital, wide, and very sharply oblique at the apex ; the second cubital cellule shorter than the third, and a ver}' little longer than the space bounded by the recurrent nervures. Legs densely silvery sericeous; the spines and spurs black. Hab. Barrackpore, Tirhoot; Allahabad, N.W. Provinces {Rothnej'), Poona ( Wroiighton). Not uncommon. NOTOGONIA. Notogonia, Costa, Ann. Mns. Zool. Univ. Napoli IV.> 80 and 82 ; Kohl, VerJi. z.-b. Ges. IVten, 1884, 249. Larrada, Smith = Tachytcs, Dahlbom, St. Fargeau, Saussurc, Taschenberg. This genus apparently contains more species than either Lai'va or Liris. Hymenoptera Orientalis. 129 I. NOTOGONIA PULCHRIPENNIS, Sp. IIOV. Nigra, sericea; inandibidis, tegulis, pedibus (coxis tro- chanteribusque nigris) abdoviinisque bast late, nifis, alls flavo-hyalinis, apice finnatis. Long. 12 mm. Antennae short, moderately thick ; the second joint half the length of the third, the third and fourth subequal. Head almost shining, the face densely covered with silvery pubescence ; the vertex with a sparser and shorter pubes- cence, which does not hide the surface ; alutaceous. There is a somewhat triangular depression behind the hinder ocelli ; a wide and deep furrow runs down from the anterior, and the depressions on either side of it are deep, curved, and broad. Clypeus not much convex, the apex slightly depressed, and broadly rounded. Eyes at the top separated by the length of the second and third joints united. Thorax densely sericeous, alutaceous, the metathorax trans- versely striolated, coarsely so at the apex; there is a shallow furrow in the centre of the mesonotum, and there is a narrower and deeper furrow on the apex of the metanotum. The pile on the mesonotum inclines to golden ; the meta- thorax bears a longish white pubescence. Abdomen longer and narrower than the thorax, sericeous ; the pygidial area rufous ; longitudinally punctured ; covered with a silvery pubescence ; the sides keeled, the apex rounded, and bearing stiff bristles. Legs moderately sericeous ; the bristles and calcaria blackish to fuscous ; metatarsal brush silvery. The second cubital cellule is one-third the length of the third at the top, and somewhat less than the space bounded by the recurrent nervures. Hab. Jeypore {Rothney). 2. NOTOGONIA JACULATOR. Smith, Cat. Hyni. Ins. IV. p. 279. In this species the eyes at the top are separated by the J I30 Mr. Cameron on length of the fourth antennal joint ; there is a longish shallow A-shaped depression above the posterior ocelli ; the front depressed where the front ocellus is ; and from the apex of the depression a short wide furrow runs ; there are three wide depressions on the front above the antennae, the central being furrowed down the middle. The clypeus is almost transverse. The basal joint of the antennae is longer than the second and third united ; the second is about one-third the length of the third, the latter not being much longer than the fourth. The second cubital cellule is about one-fourth shorter than the third, and wider than the space enclosed by the two recurrent nervures. The pygidial area bears a fulvous to cinereous pile ; the apex is broadly rounded. The $ has the wings and the nervures darker than in the ? ; the pygidial area has a soft, short, pale pubescence. Hab. Barrackpore, Mussoorie hills {Rot/mey), Poona ( Wroiighton). 3. NOTOGONIA DEPLANATA, Kohl, VevJi. .'2.-b. Gcs. Wien, 1883, 358. Hab. Ceylon, 4. NoTOGONiA SUBTESSELATA, Smith. Cat. Hym. Ins. IV., 277, II. Hab, Barrackpore. Common {Rothney), Poona ( Wroiigh- ton), Sumatra, Java. A common species. LIRIS. LiriSy Fabricius, Syst. Piez. 227 ; Kohl, Verh. z.-b. Ges. Wien, 1884, 254. This genus contains, so far as is known, but few species. It is readily known from Notogonia by the absence of a notch on the lower side of the mandibles. The pygidial area is clothed with short hair and at the end with stiff bristles ; the abdominal segments are usually clothed with Hymenoptera Orientalis. 131 a sericeous pile, and the fore tibiae are spined on the outer side. I. LiRIS H^MORRHOIDALIS. Pompilius Jiaimorrhoidalis, Fab., Syst. Piez. 198. Liris Savignyi, Spinola, Ann. Soc. Ent. Fr. VII., p. 476. Lyrops aiLreiventris, Guerin, Icon. regn. aniin. t. III., 440, //. LXX. f. 9. $. Liris oricJialcea, Dahlbom, Hyin. Ent. I., 135. Tacky tes illudens, St. Fargeau, Nat. Hist. Ins. Hyin. III., 249, 12. Larrada JicemorrJioidalis, Smith, Cat. Hyni. Ins. IV., 280. Larrada Jicemorrhoidalis, Kohl, Verh. z.-b. Ges. Wien, 1884, 256. A widely distributed species, being found in the Mediter- ranean region, Syria, Egypt, Senegal, Gambia, Sierra Leone ; Punjaub, Poona ( VVroiightoit). Smith (/. c.') records the species from the Punjaub, but he omits it from his general Catalogue of Indian species {Trans. Linn. Soc. 1869). 2. Liris auratus. Sphex aurata, Fab., Ent. Syst. II., 213, 64. Liris ajirata, Fab., Syst. Pies., p. 228, 3. Kohl, Verh. z.-b. Ges. Wien, 1884, 241. Larrada aiiridenta, Smith, Cat. Hyin. Ins. IV., 276, 6, pi. VII. fig. 5. Tacky tes opnlenta, St. Fargeau, Nat. Hist. Ins. Hyin. III., 246, 7. Widely distributed. India (common in Calcutta dis- trict) ; Borneo, Sumatra, Java, Bachian, Celebes, China, Japan, Cape of Good Hope, and Gambia. 3. Liris nigripennis, sp. nov. Nigra, nitida, punctata ; facie clypeoque argenteo pilosis ; area pygidialis aurea kirsuta ; alis fitsco-violaceis. Long. ? 18; $ 15 mm. 132 Mr, Cameron on Antennae stout, as long as the thorax. The basal jonit keeled on lower side ; as long as the second and third joints united ; the second joint one-third the length of the third, which is longer than the fourth. Head as wide as the thorax ; almost opaque, closely punctured ; eyes at the top separated by the length of the fourth antennal joint. A triangular depression above the ocelli, the vertex above this being indistinctly furrowed ; there is a wide depression on either side of the ocelli close to the eye ; and the space between the upper and lower ocelli is widely furrowed in the middle, the furrow being continued beyond the lower ocel- lus. The front above the antennae is widely furrowed along the sides of the eyes, and down the centre. Clypeus distinctly margined at the apex, slightly waved towards the centre. Mandibles black ; somewhat hollowed and finely rugose at the base; the apex piceous. Thorax finely punctured ; the mesonotum shining, the pleurae opaque ; metanotum also opaque, finely rugose. The pronotum is brought to a point in the middle, and its edge bears a covering of white pubescence; the mesonotum is a little depressed in the centre towards the base ; the mesopleural furrow is almost complete ; the ■meta- is shorter than the mesothorax ; its apex is semi- perpendicular and transversely striolated. Abdomen shorter than the thorax ; shining ; the segments edged with a pale short silky pile ; the pygidial area densely covered with a stiff depressed — golden at the apex, fuscous at the base — pile ; and its apex bears stiff golden spines ; its surface also -bearing stiff blackish bristles. At the top the second (Cubital cellule is one fourth of the length of the third ; the recurrent nervures are almost united, and are received a little before the middle of the cellule. The wings are pale across the cubital cellules. The spines, etc., on the legs are black ; the metatarsal brush and the brush on the inner .spur dull fulvous. The $ has the hair on the face and clypeus with a more Hynienoptera Orientalis. 133- golden hue ; the second cubital cellule is longer in com- parison with the third ; the recurrent nervures are more widely separated ; the pygidial area is less strongly pilose, and wants the bristles on the surface and apex, being also shorter, broader, and with the apex incised. Hab. Bangalore {Miis. CaL), Poona {Wroughton). PIAGETIA. PlAGETIA, Ritzema, £■«/. M. Mag., IX, 120 ; Kohl, Verh. z.-b. Ges. Wien, 1884, p. I. Piagetia Ritsenicc, Ritzema, Ent. M. Mag. IX., p. 120. Hab. Sourubuya, Java. 2. PlAGETI RUFICORNIS, Sp. IIOV. Nigra, antennis, ore, clypeo, prothorace, metathorace {medio metanoti nigro') petiolo pedibusquc, riifis ; alis J lyalinis, fascia substiginatali fiisca ; nervis testaceis. ?. Long. 9 mm. Antennje rather slender, almost bare. The second joint half the length of the fourth, which is shorter than the third. Head wider than the thorax, opaque, finely granular ; a furrow runs down from the ocellus to the base of the antennae, and there is a wider curved furrow on either side of the front ; clypeus broadly keeled (the keel narrowed at base), densely covered with a silvery pubescence, the apex with an incision in the middle. Eyes at the top separated by the length of the third antennal joint. Mandibles black at the apical half Thorax finely aciculated, covered with a close silvery pile ; the metanotum finely rugose, with a shallow depression in the centre having a fine keel in the middle. The mesopleurai and sternum are entirely black ; the mesopleural suture rather indistinct ; the mesonotum is broadly rufous on either side at the base. Pygidial area almost bare, and marked all over with large punctures. The second cubital cellule at the top is longer than the third ; the recurrent nervures are 134 Mr. Cameron on received not far from the base of the cellule, and are almost united. There is a short black line on the top of the middle femora ; the posterior femora are entirely lined with black above ; the hinder tibiae are infuscated behind ; the coxae black at the base ; the femoral spine is a mere thickening as in P. ritsemce. May be known from P. ritsenics by there being only a fascia in the wings below the stigma, the entire apex not being infuscated ; by the antennal being entirely red ; the mesothorax black, &c.; from P. fasciatiipmnis it differs in being larger; in having the antennae entirely red; in having the mesonotum broadly red in front ; in the mesopleurae not being entirely black, it being red at base and apex and under the wings ; in the metanotum being only black in the middle^ the apex too being red ; in the second abdominal segment being red at the base ; the pygidial area is entirely red and much more strongly punctured ; the metathorax can hardly be said to be transversely striated ; the wings are not so clearly hyaline, having a fuscous tinge, especially behind the stigma, and the cloud is much more distinct and wider. There is of course, also, the difference in the form of the clypeus and of the femoral spine, but these are doubtless sexual differences which cannot be compared in the absence of the $ of riificornis and the ? of jasciatiipennis. Hab. Poona ( Wroiightoii). 3. P. fasciatiipeimis. Cameron, Mem. Lit. and Phil. Soc, Man. II. (4) 16. Hab. Ceylon. TACHYTES. Tacky tes, Panzer, Krit. Revis. II., 129 ; Kohl, VerJi. z.-b. Ges. Wien, 1884, 327. Like Larra this has been split up into three genera, and the same difficulty is experienced in elucidating Smith's species. Hyumioptcra Oricntalis. 135 The following are the species which cannot be referred to their proper genus. 1. Taciiytes aurifex, Smith, /t?«r. Linn. Soc. II., loi. Hab. Borneo. 2. T. FERVIDUS, Smith, Cat. Hyvi. Ins. IV., 298, 11. Hab. " India." 3. T. NOVAR/E, Saussure, Novara Reise, Hym., 69. Hab. Nicobar Island. I. Taciiytes erythropoda, sp. nov. Niget\ nitidus^ argenteo pubescens ; mandibulis, pedibits {coxis nigris) abdoniinisque segjnentis i — 3, rufo-testaceis ; alls hyalinis, apice fere fumatis. 9. Long. 8 mm. Hab. Mussoorie hills {Rothney). Head broader than the thorax, shining, sparsely punc- tured ; the vertex sparsely, the cheeks and clypeus densely covered with long silvery hair. Antennae short, thick, microscopically pilose ; the second joint nearly half the length of the third, which is a little longer than the fourth. Eyes but slightly converging at the top; separated there by the length of the first, second, and third joints united. Ocellar area longer than broad, surrounded by a furrow, and furrowed down the middle ; and a furrow winds down from the front ocellus. Lateral prominences indistinct ; the clypeus slightly projecting in the middle ; the apex in the middle gaping, roundly incised. Thorax shining, im- punctate ; the pronotum punctured ; the metanotum irregu- larly transversely striolated and covered with long, silvery white hairs. Abdomen longer than the thorax and narrower than it, shining, covered with silvery white pubescence, except on the basal segments in the centre ; pygidial area covered closely with stiff fulvous, mixed with white, bristles; the sides keeled ; the apex rounded ; beneath it is punctured. Femora slightly, tibiae and tarsi densely covered with white 136 Mr. Cameron on pubescence ; tibial and tarsal spines whitish ; calcaria rufous ; claws for the greater part black. Second cubital cellule about one-fourth longer than the third at the top, and one-half longer than the space bounded by the recurrent nervures. 2. Tachytes monetarius. Tacky tes monetarms, Smith, Cat. Hyju. Inst. IV., 298. The largest and handsomest of the Indian species, and readily known by the abdomen being covered all over with silky golden pubescence. The antennae have the third joint longer than the fourth, and four times the length of the second. Front and vertex opaque, closely and finely rugosely punctured ; eyes at top separated by a little more than the length of the third antennal joint. Clypeus rounded at the apex. Thorax opaque, closely roughly punctured ; the medial segment much more strongly than the mesonotum and finely and closely transversely striated at the apex. Second cubital cellule at the top nearly one-fourth shorter than the third ; the first recurrent nervure is received about the length of the second cubital cellule from the transverse cubital nervure ; the second is received a little beyond the middle of the cellule. The $ has the antennae stouter ; the third joint is distinctly longer than the fourth. Common, Barrackpore ; Mussoorie hills {Rothney), Poona ( Wroicghton). 3. Tachytes modestus. Tachytes modestus, Smith, Cat. Hym. Ins. IV., 299. Saussure, Hym. Novara Reise, 72. This is a larger and stouter insect than T. ornatipes ; the legs are red, except the coxae, trochanters and base of femora, the abdomen is shorter, thicker, and more ovate, that of T. ornatipes being elongate and narrow ; the wings have a more decided yellow tint, and the nervures are more Hymenoptera Orientalis. 137 decidedly yellow or rather of a ferruginous colour, but in this respect the wings vary. Common. Mussoorie hills {Rot/mey). Shanghai {Saus- siire). 4. Tachytes ornatipes, sp. nov. Niger, geniculis, tibiis tarsisqiie anterioribus, nifo-testa- €eis ; alls fere fiavo-hyalinis, nervis testaceis ; clypeo, facie thoraceque longe fulvo-hirtis. Long. 12 mm. Antennae stout ; the third joint hardly longer than the fourth, and three times the length of the second. The hair ■on the face and clypeus is long and dense, the front and vertex sparsely haired, opaque and sparsely punctured on the vertex, which is depressed and furrowed in the centre. Eyes at top separated by the length of the third antennal oint. Mandibles reddish at the basal half; punctured and covered with silvery-golden hair ; palpi reddish testaceous. Thorax opaque. Clypeus punctured ; the margin depressed, incised in the middle, the scutellum distinctly punctured ; the hair moderately long and thick ; the pronotum above with a fringe of silvery pubescence. Abdomen shining ; the segments bordered (except in the centre) with silvery pubescence. Pygidial area densely covered with stiff golden hair ; sharply narrowed towards the apex, which is rounded. Ventral surface (especially towards the apex) thickly covered with dark brown pubescence and with some scattered longish hairs. Legs cinereous pilose ; the femora with scattered hairs ; the anterior tibiae are entirely testa- ceous ; the middle pair are broadly blackish in the centre ; the posterior are black, testaceous at base and apex ; the hind tarsi black, more or less testaceous at the apex and at the apex of the two basal joints ; the spines pale testaceous ; the spurs and claws for the greater part rufo-testaceous. The second and third cubital cellules are subequal at the top ; the first recurrent nervure is received at a little more T3S Mr. Cameron on than half the length of the top of the second cubital cellule from the transverse cubital nervure ; the second a very little beyond the middle of the cellule. Hab. Barrackpore {Rothney), 5. Tachytes Virchu, sp. nov. Niger-, femoribus postecis riifis ; capite tJioraceqiie dense ftilvo-hirtis ; pedibiis dense argenteo pilosis ; alis ferehyalinisy nervis fiiscis. $. Long. 8 mm. Hab. Mussoorie hills {Rothney). Antennae with the third joint a little shorter than the fourth, and twice the length of the second. Pubescence on clypeus, and face dense, silvery to fulvous ; front and vertex bearing long pale fuscous hair ; opaque, alutaceous ; the vertex rather deeply depressed in the centre. Clypeus with the apex depressed, rounded and shining; thorax with the hair dense and long, opaque ; the scutellum finely punctured ; the apex of median segment irregularly transversely striated and deeply furrowed in the middle. Abdomen ovate, shorter than the thorax, shining ; the segments at the apex with a dense broad silvery fringe slightly interrupted in the middle, except on the apical segment. Pygidial area not much longer than broad, densely covered with depressed silvery hair ; the apex broad, truncated. Ventral surface punctured, rather densely covered with dark brown pubes- cence. Femora behind densely covered with silvery hair ; tibiai and tarsi still more densely with a silvery pile. Spines pale ; calcaria fuscous, testaceous at base and apex ; claws reddish. Second cubital cellule fully longer than the third at the top ; the first recurrent nervure received at the length of the top of the second cubital cellule from the transverse cubital nervure ; the second a little beyond the middle of the cellule. Hab. Mussoorie hills {Rothney). Hyvioioptera Orientalis. 139 6. TxVCHYTES ROTHNEYI, Sp. HOT. Niger, dense fnh'o-Jiirtiis ; abdominis segnientis argenteo fasciatis ; tibiis tarsisque dense fidvo-pilosis ; alis flavo- hyalinis^apicefercfnviatis; tegulis riifis. Long. 16 — 18 mm. Head and thorax opaque, finely and closely punctured ; the scutellum distinctly and strongly punctured ; the metanotum at apex irregularly striated and deeply furrowed in the middle. Face and clypeus densely covered with a longish fulvous pile ; the vertex sparsely with longish fuscous hair ; the occiput with a silvery pile ; the mandibles at base with golden pubescence. Eyes at top separated by the length of the fourth antennal joint. Scape of antennae densely covered with a silvery pile and with some long fuscous hair ; the third joint about one fourth longer than the fourth, and three times the length of the second ; the fourth — sixth joints are slightly contracted at base and apex, bulging out broadly in the middle. Clypeus broadly carinate in the middle ; the apex rounded, entire, and depressed. Mandibles inclining to red towards the apex. Abdomen longer than the thorax ; becoming gradually narrowed towards the apex ; the basal segment covered with fulvous pubescence ; the other segments broadly fringed with silvery pubescence (but the fringe does not extend quite to the middle) at the apex. Pygidial area densely covered with silvery — inclining to golden — • depressed stiff pile ; its apex truncated. Ventral segments punctured and covered with blackish hair. Tibise and tarsi densely covered with fulvous hair, the femora much more thinly ; calcaria and spines rufous. The second cubital cellule at the top is nearly one-fourth shorter than the third but at the bottom is longer than it ; the first recurrent nervure is received at one-half the length of the second cubital cellule at the top, the second a little beyond the middle, the distance between the two being a little more than the length of the third cubital cellule at the top. Tirhoot, Bengal {Rothney) ; Calcutta {Al2ts. CaL). 140 Mr. Cameron on •J. Tachytes vicinus, sp. nov. Niger, dense cinereo hirtus, abdominis segmcntis apice pedibnsque argenteo pilosis ; facie et clypeo longe dense argenteo pilosis ; alis fere flavo-hyalinis ; tegidis piceis. $ . Long. 13 mm. Scape sparsely covered with long pale hair ; flagellum opaque, microscopically pubescent : the third joint is, if anything, shorter than the fourth, and not much more than twice the length of the second. Eyes at the top separated by nearly the length of the second and third antenna! joints united. Clypeus equally projecting throughout ; the apex rounded, hardly depressed. Vertex opaque, aluta- ceous ; sparsely covered with longish fuscous hair ; the front bears also long fuscous hair, and laterally a dense silvery pubescence. The silvery pubescence on the clypeus is long and dense. Clypeus distinctly punctured ; man- dibles still more distinctly and strongly punctured at the base, and bearing a short silvery pile ; at the apex they are piceous. Thorax closely punctured all over ; at the apex transversely striated. The hair is long and is especially thick on the metathorax. On the sides of the pronotum, and on the mesonotum in front of the tegulae is a patch of silvery pubescence. The furrow on the apex of the meta- notum is narrow and shallow. Abdomen aciculate ; the base with sparse fuscous hair ; the segments at the apex banded with silvery pubescence, interrupted on the second and third in the middle. Pygidial area with the silvery pile, dense and very bright ; the apex roundly incised. Ventral segments at the apices bearing a dense tuft of longish brownish hair, and strongly punctured. Tibiae and tarsi densely covered with silvery pile ; the femora sparsely haired ; the calcaria rufous ; the tibial and tarsal spines whitish. Had. Tirhoot (Ivot/iney). Hyvienoptera Orientalis. 141 8. Tachytes nitidulus. Crabro nitidultts, Fabricius, Ent. Syst. II., 294, 6 ; Syst^ Pies. 309, 7. Tachytes nitidulus, Smith, Cat. Hym. Ins. IV., 298 ; Dahlbom, Hyiii. Ent. I., 470. Tachytes trigonalis, Saussure, Hym. Novara Reise, 72. Common, Barrackpore {Roth^iey), Java. 9. Tachytes tarsatus. Tachytes tarsatus, Smith, Cat. Hym. Ins. 296. A specimen from Barrackpore, and another from Tir- hoot, are probably referrable to this species. The antennit^ are covered with a pale microscopic down ; the third joint is a little longer than the fourth, and three times the length of the second. Eyes at the top separated by the length of the third antennal joint. Vertex and front almost shining, finely rugosely punctured. Clypeus punctured, the apex depressed, broadly rounded, entire. Thorax closely punc- tured all over ; the median segment transversely punctured,, the apex transversely striated, deeply furrowed down the centre. Abdomen aciculated, punctured closely and finely towards the apex. Pygidial area elongated, sharply pointed at the apex. Ventral surface shining, sparsely haired,, aciculated, the apical segments punctured laterally. Wings yellowish hyaline, the nervures yellowish testaceous ; the second cubital cellule one-fourth longer than the second ; the first recurrent nervure is received about the length of the top of the second cubital cellule from the recurrent nervure ; the second about the same distance beyond it, and before the middle of the cellule. The tarsi are only red at the apex. T.fervidus, Sm., is the only other known Indian species, with red abdomen, but it has the legs reddish. Hab. Tirhoot {Rothney), 142 Mr. Cameron on lo. Tachytes basalis, sp. nov. Niger, dense argenteo pilosiis ; mandibiilis, tegidis, scapo antennariim, abdomine dimidio basalt apiceque tarsonun, mfis ; alts hyalinis, nervis rufo-testaceis. ?. Long. lo mm. Antenna stout, densely covered with a whitish pile ; the third and fourth joints subequal, and about three times longer than the second. Head almost shining ; the cheeks, face, and clypeus densely covered with long silvery hair. A narrow but distinct furrow runs down the vertex to the front ocellus, going through the raised ocellar region, which is shining and impunctate at the sides and behind. Clypeus, broadly projecting, becoming sharply turned inwardly be- fore the extreme apex, which thus does not stand on the same plane as the rest of the clypeus ; the apex broadly rounded ; eyes at the top, separated by about the length of the second and third joints united. Mandibles black at base and apex ; the base densely covered with silvery pubes- cence ; the sides bear some long white hairs. Thorax finely and closely punctured ; the metathorax finely rugose ; its sides and apex densely covered with long silvery hair ; the apical furrow rather narrow. Sides of meso- notum bearing close to the tegulae a broad band of silvery pubescence. The two portions of prothorax subequal la- terally ; the sternum projecting in front of the fore coxa;. Pleurae and head densely covered with longish silvery hair. Abdomen shorter than the thorax, shining, aciculate ; the segments edged with a fringe of silvery hair. Venter bearing some long fuscous hair. Pygidial area elongate, sharply rounded at the apex ; covered with golden, interspersed with silvery bristles ; the sides with a not very distinctly raised margin. The coxse, trochanters and femora in the lower side densely covered with silvery hair ; the tibiae and tarsi densely covered with silvery pile ; tibial and tarsal spines pale white ; calcaria rufous ; outer row of tibial spines rufous ; metatarsal brush pale rufous. Hab. Mussoorie hills {Rothney). Hymcnoptera Orient alls. 143 TACHYSPHEX. Tachysphcx, Kdh\ Ber. Ent. Zeit. XXVI I., 166; Verh. z.-b. Ges. IVie/i, 1884, 347, =Tac/ij/Us Auct. I. TACHYSPHEX ERYTHROGASTER, Sp. IIOV. Niger ; capite et thorace dense argenteo pilosis, basi anten- naruni, clypeo, pedibns abdoniineque, rnfis, alis dare hyalitiis, tegidis pallide riifis, nervis fiiscis. ?. Long. 13 mm, Antennse short, stout ; the third joint somewhat shorter than the fourth. Head finely rugose, but the rugosity hid, except in the centre of vertex, by the dense pubescence ; ocellar region raised, broadly, but not deeply, furrowed in the centre ; eyes at the top separated by the length of the third and fourth antennal joints united. Clypeus with an oblique slope at the apex, which is truncated ; labrum with an incision in the middle ; mandibles red, black at the apex ; the base covered with silvery pubescence. Mesonotum and scutellum punctured ; the sculpture of the rest of thorax hid by the dense covering of hair. The apex of metanotum furrowed, perpendicular ; abdomen longer than the head and thorax united, very finely aciculated ; the segments at the apices bearing a band of silky pile ; pygidial area im- punctate, narrowing to a point from the middle to the apex ; the sides not very distinctly margined. The second cubital cellule less than one-fourth shorter than the third, and of the length of the space bounded by the recurrent nervures. Legs sparsely pilose, the spines white, the spurs red, the claws blackish. Hab. Poona ( Wroughton). 2. TACHYSPHEX ARGYREA. Larrada Argyrea, Smith, Cat. Hyni. Ins. IV. The eyes at the top are separated by fully half the length of the third antennal joint. The part in which are 144 Mr. Cameron oji the ocelli is raised ; there is a broad transverse depression behind it ; a thin furrow is on the top of the vertex, and a wider one runs down from the ocelli. Clypeus bare, shining^ impunctate, pale rufous ; the apex margined, projecting in the middle. Antennae filiform rather than stout, densely covered with a pale pile ; the second joint is one-third the length of the third. Pronotum rather depressed, having an oblique slope from the top. Pygidial area shining, impunc- tate, bare, the sides margined, but not stoutly ; the apex rather sharply pointed and truncate. The abdominal seg- ments bear laterally a dense silvery pubescence forming broad bands, which do not reach across. The quantity of black on the abdomen varies, some specimens having the middle segments only slightly infus- cated, while others have broad bands on the third — fifth segments. Smith, it may be added, does not state that the clypeus of Argyrea is rufous. Hab. Mussoorie hills [Rothney). 3. Tachvsphex bengalensis, sp. nov. Niger, nitidus, pimctattis, metatJiorace riigoso-reticidato, breviore qiiam mesothorace ; alis dare hyalinis, nervis fere nigris. ?. Long. 10 mm. Head as broad as the thorax, the vertex sparsely, the cheeks, face and clypeus thickly covered with silvery hair ; rather strongly punctured ; the eyes at the top separated by the length of the second and third antennal joints united ; ocellar region raised ; a a -shaped depression behind them, with a short longitudinal furrow leading from it, this furrow being continued through the ocellar region itself Clypeus punctured ; margined, and almost truncated at the apex. Mandibles covered with long silvery hair at the basal half Antennae nearly as long as the head and thorax united, covered with a dense greyish pile, the third and fourth joints subequal. Thorax shining, bearing a fuscous Hyinenoptera Orientalis. 1 45 to silvery pubescence ; the metathorax much more thickly than the mesothorax ; strongly (especially the pleural) punctured ; the scutellum not so strongly as the mesonotum. Metathorax shorter than the mesothorax, broader than long, almost rounded at the apex, coarsely rugose, running into reticulations ; the apex strongly, nearly transversely striolated. Abdomen as long as the head and thorax united ; shining, obscurely shagreened ; the segments edged with silvery bands of pubescence, interrupted in the middle ; the apex rather acuminate ; pygidial area very shining, margined along the side, sparsely punctured. Femora sparsely, tibiae and tarsi densely covered with white silvery hair ; the spines and claws pale ferruginous ; the calcaria blackish, reddish on the lower side. The second cubital cellule is about one-fourth longer than the third, the latter at the top being somewhat longer than the space bounded by t|je recurrent nervures. The apex of the radial cellule is narrow, not sharply angled on the lower part, but rather rounded, and reaches near to the apex of the third cubital. The appendicular cellule is narrow, but distinct. Hab. Tirhoot {Rothney). 4. TACHYSPHEX AURICEPS, Sp. 710V. Niger, aureo-hirtus ; pedibus, abdominisque segmentis I et 2 rufis, coxis, trochanteribiis basiqite femorinu, nigris^alis flavo-hyalinis. ^ et $ . Long. 1 2 mm. $, 9 mm. $ . Antenna; stout, covered with a short white pile ; the third and fourth joints subequal. Head as wide as the thorax ; the front, cheeks, face, and clypeus covered with a golden pubescence, the vertex with a much shorter and thinner fulvous to golden pile ; finely punctured ; the eyes at the top separated by the length of nearly the second and third antennal joints united ; the vertex furrowed in the centre, the furrow ending in a short A -shaped furrow ; ocellar region raised, a wide and shallow furrow in the centre, K T46 Mr. Cameron ou continued down the front as a narrower and more distinct furrow ; clypeus at the apex with a distinct, moderately- wide margin, rounded and with some small irregular inden- tations. Mandibles with a red band towards the apex. Thorax covered with a short golden fulvous pile, much longer and thicker on the sides and metathorax ; finely and closely punctured ; metanotum irregularly transversely rugose, the apex tranversely striolated. Abdomen longer than the thorax ; the segments with a broad interrupted band of white pubescence ; aciculate ; pygidial area with a raised margin along the sides ; the apex sharply rounded, bare. Legs shortly pilose ; the tibial spines and spurs red ; the claws fuscous towards the apex. Second cubital cellule at top half the length of the third, and less than the length of the space bounded by the recurrent nervures, which are received a little in front, and a little beyond the middle respectively. • The (J agrees in coloration with the 9, but the golden pubescence on the head is closer and thicker, the eyes at the top are separated by slightly more than the length of the fourth antennal joint ; the third joint is shorter than the fourth ; the metanotum is rugose ; the two basal joints of the abdomen are banded with black ; the wings want the yellowish hue ; the second cubital cellule is longer than the third ; the nervures are fuscous ; and the first transverse cubital nervure is more sharply angled, below the middle. Had. Poona ( Wroiighton). GASTROSERICUS. Gastrosericus, Spinola, y3;/«. Soc. Ent. Fr. VII., 480; Kohl, Verh. z.-b. Ges. Wien, 1884, 408. • A genus of small extent, only three species having been hitherto described. Hymenoptera Orient alls. 147 I. Gastrosericus Wroughtoni, Sp. nov. Niger, albo pilosns ; tegidis, abdominis segmentis i — 2 apiceque tarsoriivi, rufis ; alts hyalinis. Long. 1 1 mm. Antennae as long as the thorax, densely covered with a silvery pile ; the third and fourth joints subequal, dilated at the apex ; the second one-third of the length of the third. Head fully wider than the thorax ; the cheeks, face, and clypeus densely covered with a silvery pubescence ; the front and vertex much more sparsely. Eyes at the top separated by fully the length of the second and third joints united ; there is a shallow indistinct furrow in the centre of the vertex ; ocelli surrounded by a deep furrow ; hinder ocelli shining, curved, elongated ; vertex and front coarsely aciculated. Apex of clypeus truncated ; mandi- bles reddish, black at the apex. Thorax punctured, densely covered with cinereous pubescence ; metanotum finely rugose ; its apex perpendicular, almost truncated, but with the sides rounded. Abdomen longer than the thorax, shining, aciculated, the segments broadly banded with a silvery pubescence ; pygidial area bare, except at the apex, which bears long depressed fulvous hair ; the basal portion with scattered punctures. Legs densely covered with silvery pubescence, especially thick on the tibise and tarsi ; the anterior tibiae and tarsi are for the greater part reddish, as are all the knees and spurs ; the spines are whitish. At the top the cubital cellule is somewhat longer than the space bounded by the recurrent nervures, which are received in the basal fourth of the cellule ; the second transverse cubital cellule is curved to near the top, when it becomes angled and straight. 2. Gastrosericus Rothneyi, sp. nov. Niger, argenteo pilosns, punctatns ; geniculis lineaque tarsomm, albis ; alts hyalinis, apice fere fnmatis ; nervis fuscis ; tegulis albis. Long. 7 mm. 148 Mr. Cameron on Antennae with a silvery pile; the third and fourth joints subeqiial. Head closely punctured ; the face, cheeks, and clypeus densely covered with long silvery pubescence ; eyes almost parallel, at the top separated by the length of the second, third and fourth joints united. Ocellar region raised, roundish, surrounded by a furrow ; hinder ocelli as in G. Wroiightoni ; a narrow indistinct furrow runs down from the front ocellus. Clypeus with a broad truncated projection in the middle at the apex ; the middle keeled. Mandibles reddish, black at the base. Thorax finely and closely punctured ; the metanotum finely transversely striated, its apex with an oblique slope and furrowed in the middle. The pleurae and the edge of the pronotum are densely covered with silvery pubescence ; the pubescence being especially long on metapleurse ; the tubercles are white. Abdomen aciculate, the segments broadly edged with cinereous pile ; pygidial area densely covered with fulvo- golden stiff pubescence. The legs are pilose : the knees, a broad line on the tibife behind, the apex of the tarsi and the greater part of the claws are white. The second recurrent nervure is joined to the first before the latter is united to the cubital ; the second transverse cubital nervure is not so sharply elbowed as in the preceding species. Hah. Barrackpore {Rot/mey). PALARUS. Palarus, Latreille, Hist. Nat. Crust, et Ins. VII., 336; Kohl, Verh. z.-b. Ges. IVien, 1884, 416. 1. Palarus orientalis. Kohl, /. c, 422. (?) Palarus interruptus, Dahlbom, Hyni. Ent. I., 468. Hab. Ceylon. 2. Palarus interruptus, Dahlbom, Hym. Ent. I., 468. Hab. " Ind. Or." A ST AT A. Astatus, Latr., Precis, des caract. gen. des. Ins., p. 1 14, 14. Hynienoptera Orientalis. 149 Astata, Latr., Hist. Nat. Gen. et part, des Crust, ct Inst. t. III., p. 336. Over thirty species of this genus are known from various parts of the world, but more particularly from America. Only two have hitherto been recorded from our region. I. Astata maculifrons, sp. nov. Niger, f route proparte tegiilisqiie flavis ; abdominis seg- mentis 2 — 5 riifis ; alis fiisco-Jiyalinis. $. Long. 9 mm. Antennas thickened towards the apex, the scape and second and third joints covered with longish hair ; the second joint a little longer than the third, and both are perceptibly thinner than the succeeding joints. Front and vertex strongly punctured, almost rugose ; the clypeus al- most impunctate ; the apex broadly rounded ; mandibles rugosely punctured at the base ; the apex piceous-red. The yellow mark on the front is broader than long, and is rounded at the sides, and is incised in the middle. Pro- and mesothorax shining, sparsely but distinctly punctured ; the pleurae more strongly punctured than the mesonotum ; metathorax opaque, coracious, striolated at extreme base; the central part separated from the sides by a curved deep furrow ; there is an indistinct keel down the centre, and the apex is rugosely punctured. Abdomen red, the base and the apical two segments black. The second cubital cellule is about two-thirds of the length of the third, and half the length bounded by the recurrent nervures ; the first recur- rent nervure is received not far from the base ; the second a little before the middle of the cellule. The stigma and the nervures beyond its base are testaceous ; the apex of the wing is almost hyaline. The legs are covered with long black hair ; the anterior knees, tibiai, and tarsi in front are sordid testaceous, the posterior tarsi have the apices of the joints testaceous. Hab. Mussooric hills (^Rothncj). ISO • Mr. Cameron on 2. ASTATA AGILIS. Smith, Trans. Ent. Soc, 1875. 39. Nigra, facie pleiwisque longe argenteo pilosis ; abdominis segmentis i — 3 rufis ; inetathorace reticulato ; alis hyalinis, apice fumatis ; tegiilis piceis. 9. Long. 9 mm. Antennae with a close glistening pile ; the third joint a little longer than the fourth. Head shining, the front closely but not strongly punctured ; the occiput, cheeks, face, and clypeus covered with long silvery hair ; there is a short furrow below the front ocellus ; the clypeus is rounded at the apex ; the mandibles black, reddish in the middle and on the lower side. Thorax shining ; the pro- and base of mesonotum closely punctured, the rest of the latter and the scutellum with scattered punctures ; the pleurje coarsely punctured ; metanotum longitudinally reticulated ; the metapleurse strongly obliquely striolated ; the apex coarsely rugose. Abdomen aciculate ; the pygidial area finely ru- gose ; margined at the sides, sharply pointed at the apex. Second cubital cellule half the length of the third and of the space bounded by the recurrent nervures ; the first recurrent nervure is received a little before the middle, the second at a somewhat greater distance beyond the middle of the cellule. Tibise thickly spined, the apices of the tarsi fuscous. Hab. Tirhoot, Nischindepore {Rotkney), Poona ( IVrough- ton). 3. AsTATA ORIENTALIS. Smith, Cat. Hyin.Ins. IV. p. 310, 14. " India." This species appears to be closely allied to the preceding, but it differs in having four carinae on the mesothorax, the wings are flavo-hyaline, clear at the apex, and with ferru- ginous nervures. Hab. Nischindipore (^Rothney). Hymenoptera Orientalis. 151 4. ASTATA ARGENTEOFACIALIS, Sp. nov. Nigra, argenteo hirstita, subtilis^ne punctata ; meianato rugoso ; abdomine fusco \ alls hyalinis. ?. Long. 8 mm. Antennae covered with a white microscopic pile ; the third joint perceptibly longer than the fourth. Head opaque, coarsely alutaceous ; the occiput, lower part of front, face, and clypeus densely covered with a silvery pubescence ; clypeus incurved in the middle at the apex ; mandibles piceous-red, black in the middle. Thorax opaque, coarsely aciculated ; the metanotum finely rugose, furrowed down the centre, near to the apex above ; the apex oblique, coarsely rugose ; the pleurae, the pronotum (except in the centre), the sides of the mesonotum ; the hollow at the side of the scutellum, and the sides of the metanotum densely covered with silvery pubescence. Abdomen shining, very finely aciculate ; the segments lined at their junction with a silvery pile ; the basal and apical segments are more or less blackish. Legs covered with a silvery pile ; the spurs and spines white. The second cubital cellule at the top is half the length of the third, and half the length of the space bounded by the recurrent nervures ; at the bottom it is not much shorter than the third ; the first and second transverse cubital nervures are straight ; the first recurrent nervure is received not far from the base of the cellule, the second at nearly double the distance from the apex. What is apparently the same species has the first and second abdomial segments clear red, and the others quite black. Hab. Barrackpore {Rothney'). AST AT A NIGRICANS, Sp. noV. Nigra, nitida, punctata, longe argenteo hirta ; metanoto striolato ; alis hyalinis, nervis, fiiscis. $ . Long, fere 8 mm. Antennae as long as the thorax, microscopically pilose, 152 Hymenoptera Orientalis. the joints dilated slightly at the apex ; the third joint slightly longer than the fourth. Head (except the ocellar region) densely covered with long silvery hair, moderately punc- tured ; the apex of clypeus rounded ; mandibles piceous beyond the middle ; the palpi fuscous. Mesonoto and pleurae punctured, the latter strongly ; the metanotum strongly longitudinally striolated, and irregularly reticu- lated ; the hair on the upper part moderately dense, on the sides long and thick ; abdomen of the length of the pro- and mesothorax ; shining, aciculated ; the sides and ventral surface densely covered with long cinereous hair ; the segments broadlydull piceous,red at the apices. Legs densely covered with long cinereous hair ; the tarsi piceous-red. Second cubital cellule at the top one fourth of the length of the third, and half the length of the space bounded by the recurrent nervures, which are received on either side of the middle of the cellule. The appendicular cellule is incom- plete, the nervure ending not far from the radial cellule ; the third transverse cubital nervure is angled and issues a short nervure below the middle ; the first is sharply angled below the middle. Hab. Poona ( Wroughton\ Note. — The reference to Pelopccus violaceus (p. 102) should be deletecU I now believe, contrary to the opinion of Andre, that the European P. violaceus is not found in India, and is quite distinct from P. beugalensis. — P.C., April 15th, 1889. Proceedings. 153 Ordinary Meeting, February 5th, 1889. • Professor OsBORNE Reynolds, M.A., LL.D., F.R.S., President, in the Chair. Mr. F. J. Faraday read a letter from M. C. Tondini de Quarenghi, stating that the French Minister of PubHc Instruction had informed him that he proposed to invite a conference in Paris this year to resume the consideration of the question of the unification of time and the adoption internationally of a common meridian for scientific purposes, or, in other words, to take up the work of the unsuccessful congress held at Washington. Dr. BOTTOMLEY read a paper entitled, " On the equation to the instantaneous surface generated by the dissolution of an isotropic solid." 54 Dr. J. BOTTOMLEV on On the equation to the Instantaneous Surface gene- rated by the dissolution of an Isotropic Solid. By- James Bottomley, D.Sc. (^Received February ^th, iSSp.) I. T/ie Subject considered geometrically. Although the phenomenon of dissolution of a solid is one of the most striking in chemistry, it does not, as a general problem, seem to have been the subject of exact enquiry ; nor do the text books of chemistry supply an answer to the following question : — Given the form of an isotropic solid placed in a menstruum capable of dissolving it, what will be the surface at any subsequent time bounding the undissolved portion. Considering the infinite variety of forms which the primitive solid may have, whether bounded by continuous or discontinuous surfaces, the subject might seem to be impracticable. After some reflection on the matter, two propositions occurred to me which seem to be of sufficient generality to include every case which may present itself The first of these propositions is as follows : If lines normal to a curve be cut by a second ciirve at a constant distance from the first, then these lines will be normal to the second cnrve. The proof is not difficult ; let X, Y be co-ordinates of a point P on the first curve, and The Dissolution of an Isotropic Solid. 155 X, y co-ordinates of a point Q on the second curve, let PT and PS be the normal and tangent at P, also let PQ = c be a constant, then we have i^-xf^{Y-yf = <^ (i) c being constant, and all the other variables being regarded as functions of X, we get by differentiation (X-.4-^).(V-,)(g-|) = 0 (.) but \^ = tanPQR = tanPTS = cotPST = ; — %^ = -^ X-x ^ tan PS 1 £Y dX by substitution in (2) we get dx_^ f^_±\ dX dVydX dXj dX .dY_^^^ (3) ••dX~dX dx dx dX Hence the tangent at Q is parallel to the tangent at P, and PT is normal to the second curve at the point O. This proposition will be of service in treating of the dissolution of cylindrical solids, and surfaces of revolution. The co- ordinates of the curves will be connected by the following relationship : x = X- CCOSCj) (4) J = Y - csin^ (p denoting the angle PTS. If for the angular functions we substitute their values in terms of the co-ordinates X, Y', we shall obtain equations which we may write .T=/,(X,Y/) (5) y=MX,Y,c) and from these we may obtain equations of the form Y = F,(^-j',^) (6) X = F2{xj',c) if the primitive equation be ^(X,Y) = 0, to obtain the de- rived equations we must substitute for X and Y from (6). /: 156 Dr. J. BoTTOMLEV on In these equations <; is a variable parameter, and by giving it successive values from 0 until we exhaust the normals to the first surface, we may obtain the equations to the successive derived curves from the commencement of dissolution until its completion. \i s and S denote the lengths of the derived and primi- tive curves measured from two fixed points up to the common normal, we may deduce from (3) ds _d^ (7) dx~dX' and by integration VS d_x_ dX (8) dXdX from (4) by differentiation we obtain dx . dd) // C T also -rf>= -: — ; substituting in (8) and completing the inte- ^^r sm^ ' & V / r t> gration we obtain the equation s = S+C(j} + n, n denoting a constant ; to find its value suppose that in Fig. I MP = S and NO = j-, then we shall have simultane- ously j = 0, S = 0, ^ = -; hence equation may be written There is also another equation which may be deduced from this, which will be found useful. Suppose that c is not greater than the radius of curvature at any point of the curve MK, and that OM, OK are normals, then the area MNLK may be written / sdc, if then we multiply (9) by dc, and integrate we get MNLK = &-^(;-,f) ('°' The Dissolution of an Isotropic Solid. 157 In the figure the angle at O is a right angle, so that in this case 0 = 0. From the last equation we may obtain an expression for the undissolved area, for we shall have ONL - Oi\I K - Sr + ^Y?" - this latter quantity will be the distance OE of the double point from the origin. In order to assign some definite volume to the cylinder, we may suppose it to be bounded by two planes, of which the sections by a plane normal to the length of the cylinder are the lines GL, LH ; furthermore let these lines be normals to the parabola at G and H, let also the planes just men- tioned, and the extremities of the cylinder be covered with some insoluble compound so that dissolution is confined to the curved surface. The first stage of dissolution will be to remove a thin shell in the element of time dt, this shell having everywhere the same normal thickness dc ; to the new surface the same lines will be normal, and in another element of time dt a second shell will be removed, having everywhere thesameinfinitesimal thickness, and sotheprocess will continue until the solid be exhausted. Of the curve in Fig. 2 the portion EAD has no physical existence ; the portion bounding the undissolved area will be BEF ; as dissolution proceeds there will be a progression of the point E on the axis of x, at the same time the area BEF diminishes, and the length of c increases, hence the object of the enquiry will be to represent this area as a function of ^, and if c be some ascertainable function of the time, we may determine, either exactly or with any required degree of approximation, the area of BEF, and consequently the dimensions of the undissolved cylinder at any time. At this point then we may see that the doctrine of solution consists of two enquiries, the determination of the volume of the undissolved solid as a function of c, and the determina- tion of ^ as a function of the time, the first is a geometrical question, the second a chemical one, to be decided by ex- l6o Dr. J. BOTTOMLEY 071 periments in the laboratory ; the first enquiry may be pursued in perfect independence of the latter. In the present case the area BEF in terms of c may be obtained as follows : BEF - 2BEL = 2(0GL - EBGK - OKE) Let 0 be the angle OEK, ^ the angle OLG, then EBGK = arcKG.^ - - ( ^ - >), KG = OG - OK OK = a — ^ + alog{tan^ + v/ i + tan*^} OKE = 4.W^ + /i^^i£^ 3 ^ 2 also, we have the following equation connecting ^ and c 2a = ccos(p, from these equations by elimination of (j> we obtain area BEF ^ A + ^ .^ ' -Yc+2adoe, ^~ ba ° 2a ria-cos-^") wherein A stands for the area, and P for the perimeter of the curve GOH ; if / be the length of the normal LG, then the values of c in the last equation will extend from 2^: to / ; in the latter case the area BEF vanishes, and this corre- sponds with complete dissolution of the cylinder. If^be less than 2a for the area BEF we should have the value A-Vc+rQ,. In what precedes the figure has been supposed to represent a section of a cylinder, if we suppose the figure to revolve round OL, the values of x and y deduced from equations (4), and the equation to the parabola, intro- duced into the expressions V = tt I j/^dx, would serve to find the volume undissolved at any time of a surface of revolution generated by the solution of a paraboloid, the action being restricted to the curved surface. Tlic Dissolution of an Isotropic Solid. i6i Next consider a right cylinder of which the section is the ellipse Also let us suppose that the action of the solvent is confined to the curved surface, then x, y being co-ordinates of a point on the instantaneous curve situated on the same normal as the point X, Y we have the following relationship Y-y fi'^X X-.x «-'Y-^ whence ^~a%x-X) + d-'X substituting this value of Y in the equation to the ellipse and the equation we obtain X"{a''x - X{a'^ - b"") Y + a^b'^X^ - d^{a-x - X(«2 - //-) }^ = 0 (X - x)\ay- + {a\x - X{a' - b^) Y] - c^a^-x - X{a^ - F-) }- = 0 expanding these equations in powers of X, we may for brevity write the results as follows PX*-QX« + RX- + SX-T = 0 (14) UX*-VX3 + WX--YX + Z = 0 (15) the coefficients of the different powers of X having the following values : Y = \]^{a^-b^f Q = 2a'^x{a^-b') R = ayP + «*^2 _ ^2(^2 _ /,2)2 S^2xa\a^-b') T = a'x^ Y = 2x{a'"-b^){2a^~-b') W - a'i^.^ +/) + 4«2^^(fl2 _ b^) + («2 _ //2)2(^2 _ ^2) Y = 2{a'x{x^ +y-) + a-x{a^ - b''){x- - c-)} Since P = U, if we subtract (14) from (15), we obtain X\Q - V) + X'^W - R) - X(Y + S) + Z + T = 0 (17) L (16) [ =0 1 62 Dr. J. BOTTOMLEY on If wc multiply this last equation by PX, and subtract from (14), multiplied by Q — V, we obtain -X«{Q(Q-V) + P(W-R)}+X2{R(Q-V) + P{Y + S)} + X{S(Q-V)-P(Z + T)}-T(Q-V) = 0 eliminating X^ between this equation and (17), we obtain the following quadratic equation for determining X : X-^ 1 (R(Q - V) + P(Y + S))(Q - V) + (Q(Q - V) + P{W - R))^ (W-R);-+x{(S(Q-V)-P(Z + T))(Q-V)-(Q(Q-V) + P(W - R))(Y + S)} - T(Q - V)- + (Q(Q - V) + P(W-R))(Z + T) If we write the solution of this equation in the form 2A 2A ^ the following will be the values of the letters A, B, C deduced from (16): A = (fl2 - d"-y{x*{a"- - U'f + zx'iaY-ia' + U^) - {a" - U')\a' + ^^)) B = 2{a- - b'fd-x'i^ x\a" - b~f + x-(a:y-{2a" - b') -2(0^- b'fiir + r)) + {ay- + {d'-b-'){d'-r)y} C = {d' - b'fa'x-lx'id' - b') + .i--((2«-^ - b')f - 2{d' ~ b''){d' + r)) + (y + a- - r){dy + {a- - b-){d' - r)) } From the value of X thus obtained, we may deduce the value of Y by writing in the formulae b, y, x for a,x,y respectively ; these values of X and Y substituted in the equation to the ellipse or in the equation {X-xf+{Y-yf^r will give the equation to the instantaneous curve generated by the dissolution of an elliptic cylinder. It will also give an external curve cutting the normals at a distance c from the ellipse. The radius of curvature at the extremity of the major axis of the ellipse has the value — , while c is less than this value, the internal curve cuts the normals drawn in any quadrant in the same quadrant, when c is greater, the curve becomes more complicated and assumes the form repre- The Dissolution of an Isotropic Solid. 163-. sented in the figure. The branch CD cuts a portion of the normals to AB ; at D is a cusp and the remaining normals in the first quadrant are cut by HD ; the normals to the lower quadrant are cut by the branch FCEH, there being a second cusp at E, and C being a double point ; to the left of the axis of j there is another portion of the curve sym- metrical with that to the right. Of the curve thus found the portions ECD, LMK, have no physical existence, the undissolved area at any time will be represented by CGKF. The position of the cusps is given by the equations, and ^-±^jJTi^-l^^^^^ the final positions of the cusps corresponding with total dis- solution of the cylinder will be obtained by writing b for c, they will be b The position of the double points is given by the equations In order to trace the progress of the dissolution of the cylinder it will be necessary to express the area as a func* i64 Dr. J. BOTTOMLEY on tion of c; by reference to Fig. 4, it will be seen that B CEFG = 4-OEC = 4(0BHK - EBHC - CHK). X being the abscissa of the point H, we have the following relations (^ denoting the angle HCA). EBCH = ^.BH-^'(7r-0); BH J sir dX , sin^' OBHK = ^|-^v^'''-^%'''sin-^L a [^ 2 2 a j ' X = \/ a' + l^han-d Cos
-m>-'
dZ
dY
Y-y
Z-z
dZ
dX
X-x
Z-z
dz
dx-
X-x
Z-z
dz
dy-
Y-y
~Z-z
hence
dZ dz dz dz
dX^dx ^"^^ dY^'^
and from these equations we may obtain,
the expression on the left measures the inclination of the
tangent plane at the point X, Y, Z, to the plane of xy, and
the expression on the right measures the inclination of the
tangent plane at x,y,s, to the same plane, hence these tan-
gent planes are parallel, therefore the line
X-x_Y-y Z-z
c ~ c ~ c
is normal to both surfaces. If a,j3, 7 be the direction angles
of the normal to the primitive surface 0(X, Y, Z,) we have
the equations
vT = X - fCOSa
J = Y - rcos/3 (20
z = Z-