peat aeas les Sas. Cae See dietasten aes gees ‘ emcees - Erte Pier . =e — . See: = St : = = Sia = ~ q bo teeter preter enone = Bee het eee arg eee ters Reese: foie eee ee fir ie ee siiciastacas terme aoa etapa sie Ww 5 ‘ TRANSACTIONS ROYAL SOCIETY OF EDINBURGH. lz a ry Ss : HOH anprnd a | ’ 4 ) | a TRANSACTIONS OF THE roy AL SHCILET Y OF EDINBURGH. VOL. XXXVI. Mlics = i >) ug y rN Ga - ¥§ Al Wisk iS Gee $y! so) EDINBURGH: PUBLISHED BY ROBERT GRANT & SON, 107 PRINCES STREET. AND WILLIAMS & NORGATE, 14 HENRIETTA STREET, COVENT GARDEN, LONDON. MDCCCXCII. Parr I. published March 9, 1891. Part IL. 5 November 10, 1891. Part III. = May 10, 1892. CONTENTS. PART I. (1889-90.) NUMBER I. Observations upon the Structure of a Genus of Oligocheta belonging to the Limicoline Section. By Frank E. Bepparp, M.A., F.R.S.E,, Prosector, and Davis Lecturer to the Zoological Society of London. (With a Plate), Il. On the Transformation of Laplace’s Coefficients. By Dr Gustave PLARR, III. Phases of the Living Greek Language. By Emeritus Professor BLACKIE, TV. Adamuantios Koraes, and his Reformation of the Greek Language. By Emeritus Professor BLACKIE, . ‘ V. On the Fossil Flora of the Staffordshire Coal Fields. By R. Kipsron, F.R.S.E., F.G.S. (With a Plate), VI. The Solar Spectrum at Medium and Low Altitudes. Observations of the Region between Wave-Lengths 6024 and 4861 ALU., made at Lord Crawford’s Observatory, Dun Echt, during the Years 1887 to 1889. By Lupwic Brecker, Ph.D., Temporary Second ib: > itd £ Ao & WALWL Bea pet ad nie lea! ih Fi, Ce = ie wid {cua ee aed ” ae eee ive in ata i eS | se r: i Pe a tf, _, on ie a aE nese t i syst: ri ra | : Dia) 7 uci lt ot. ets leh@aw “8 TS oa ; i. i ie pho iy aap 4 | i) ° : _ | ‘o t i! «P opps re eee? i = flO epee ive ten i nae on Dod, OtE pal ea Fv Aue ie gle Ue roy ba —_ | » whi i ue) GEM je \paahs ” B tt pihe 8 Fe hanrt) | FZ. 7 ee 4 we * maid an . wet ul if ‘ ya's 4 ITv® ie > a8 had ; = % a} Danii ai < = ; : 5 ‘ , ST | \ : i - Trans. Roy. Soc. Edin’ F.E. BEDDARD ON MONILIGASTER. Vol. XXXY. WH ] vA i UJ | il iL 4), \2/ VII VIL FE Beddard del. F Huth, Lith’ Edin* cP : we 7 4 i eS 1? ¥ ‘ W ® a _J Pea F ‘ » |* 4 ? a » i) : Jor. 7 ¥. Se oe 1 iad ss » > ; ‘ 7 , Z 7 Ly : ' | , - 4 \ . woe 7 7 © 4 ‘ ' ~ ; 7 i . - se - = or} II.—On the Transformation of Laplace's Coefficients. By Dr Gustave PLaRr. (Read 2nd December 18839.) INDEX TO CONTENTS. PAGE PAGE INTRODUCTION, : . : ; : ; . 19] Ssgcrion IIl., . ; : : ‘ 2 .. 29 Section I, . : é ‘ : 3 p . 20 5 Vises : : F : : 34 Ti. ve =o Qo ee | \s.- 5 ee ne em ee ” The development of the inverse square root Z=(1—2az+a")-? into a series Li ean gives rise to the coefficients Z,, which have been called ‘“ Laplace’s Coefficcents.” If in Z, we substitute for z the expression z=xa'+yy' cosy, where x+y? = 1 ; vy? = 1 F then the function of ws, which Z, will represent, can most appropriately be expressed by Znr= cos (sy). N,. The object of this paper is to show, by actual calculation, that the coefficients N, (functions of x, x’, y, y’) can be worked out by elementary algebraical processes, the only auxiliary taken from higher analysis being the expression of the powers of cos W in function of the cosines of the multiples of w. As to our notations, we shall observe throughout the following restrictions :— 1. The function II(x) shall not be employed otherwise than for integer positive values of x, so that 2. The factorial a. =a(a+r) ....(a+t—Ir) will be made use of for integer values only of r (as, for example, r= +1, or r= —1, or r= +2, &c.), the exponent ¢ being integer positive. VOL. XXXVI. PART I. (NO. 2). E 20 DR GUSTAVE PLARR ON THE 3. The symbol [Se] 40, when the limits a and b are integers, is to represent the sum of the terms (extremes included), Ka)+flat+1)+&ef(a+t)+&e.+ (5), J being the representative of a function given in each case. When the limits a, b are both fractionary, or one of them only so, then, supposing a, the integer value next above a, and b) the integer value next below 6, the symbol [S"] A will be used for representing the sum or aggregate of the terms F(a) + f(do +1) + &e. + f(bo) - Sol The development of the above inverse square root gives Z, under the form — fxt”,7 (— 1°20 — 29).2"- 79 ’n= [2,9] WTI gIl(n—g)I(n — 2g) © Substituting for z the expression ax’ +yy' cos Vr, we get n-2g n-29 1 II(n—2q).(aa’)”-29-"(yy’ cos yr)" 2 =[% n| Il(h) (a — 2g —h) ; We have also 1 p<, Th2 cos (h - 2k (cos yr) = =e [> k| Tl ; eh - as by the known formula, in which, for the combination of values of h, k satisfying to h—2k=0, the term under the sign 2 has to be halved. We have now for Z, the treble sum 2%, Z,=[3"9 3" SPE] WG, h, b), in which, after reduction, we get (—1)TI(2n — 29)(awar').”-*9-"(yy’)."2 cos (h — 2k) 2"+*IT(g)II(n—g)U(n—2g—h)IL(k)(h—k) ~ WG, h, h)= In any multiple sum = the summations are to be effected from right to left—that is to say, in this present case of a treble 2, we must give to k successively the values TRANSFORMATION OF LAPLACE’S COEFFICIENTS. A | 0, 1, 2, &e., 3h (or $h—1 in the case of h uneven), and this for any system of values of gandh. The sum of these results, indicated by [sy'n] WE, bk) = Wg, h), will then be treated as a function of g and h alone. Then, for any value of g we must give to h successively the values 0, 1, &ce. n—2g, and add the results ; we may indicate the sum by PA ACADERECOE 0 Finally, we have to sum up [>,"9] W.Q)=2". In any multiple sum 2 we may replace an index by another related to it by a given equation. Of course, such an equation must not be dependent on those indices about which the summation = have already been effected. As our task is to gather together all the terms for which the combination —2k takes the same value, say s, we can introduce s as a new index; but as it will be related to k by h—-2k=s, we can introduce it only in the place of & and not in that of h at once. If we wish to preserve & as an index (a working index) and replace / by s, then we must previously effect an operation which, generally, we will call the ‘“ anter-version” of the sums 22. This interversion of the order in which two summations are to follow each other requires a corresponding change in the limits of the indices. The easiest way to discover what these changes must be consists in giving a geo- metrical meaning to the values of the indices. In the present case (A) (A) 22 DR GUSTAVE PLARR ON THE hy 0 let "hn Sk, where hy=n—2g, represent the complexus of points of which the rectangular coordinates are h and k, h being the abscissa and & the ordinate. It is evident that these points will be com- prised within a rectangular triangle OHK, of which the side OH is equal in length to h, ; the side HK will be equal to 3,; and the hypothenuse OK will be directed along the straight line whose equation is h—2k=0. We may now conceive two ways in which the enumeration of these points can be made. Hither we enumerate them along lines parallel to O(k) (in columns), or we enumerate them along lines parallel to O(h) (in bands). In the first case each column is given by the operator Tks 0 and the sum of the columns will be y="), Br. In the second case each band will begin on the hypothenuse where h=2k, and extend to h=h,, so that Sih 2k will represent one band. The sum of these bands, extending from k= 0 to the extreme value of k, namely, k= HK = 4h, (or $h,—1 if h, be uneven), will be given by ay hy (2y=>i% Shh. Thus the two operators (1) and (2) when applied to W(g, h, &) will give the same results, but (2) is the ‘“ interversion ” of (1). We have now (replacing h, =n —2q) Zn= [S09 Th Sy 7h] WG, h, b), and we are prepared to introduce the index s in place of h, putting h=8+2k. The limits of s will be 8s=0 for h=2k, s=n—2g—2k for h=n—2g. Moreover, we put Wg, h, k)=(yy')'2 cos sip. W'(g, k, 8) , TRANSFORMATION OF LAPLACE’S COEFFICIENTS. 23 where (—1)TI(2n —29)(aar'"—8-29-2*(yy')* 27+5+ TT g1I(n—g)1(n —s — 2g — 2k) LIkII(s +h)’ Wg, k, s)= Thus we have Z,=[Spg Sy" Bhs] (yy’y.2c08 spW'(g, k, 8). We will now intervert the treble = so as to bring the summation relative to s to the first place on the left. (S) (R) 7 (an-9) Interverting first 242s, we have Sy Sores bm) Sak Sh), eo eter 0 ; Then by a similar figure than the above, Sige d = See We may now write Z, under the form n i (s) Z,, = [3's] (yy'Y 2.c0s(sy).Z, where, in putting for abbreviation i(n—s)=7, if integer, or 4(n—1—s)=1r, if integer, we have Z.=(. 9 >, %b] Wok, 8). 24 DR GUSTAVE PLARR ON THE Our next step will be to eliminate (yy’)” from W’. We take y* =(—1)@?—1) ey (—1)* Tk = Boel tpnie—p) ” ,) 1 Ba! 2k —2 "= [2 tang This gives =[39 3) °% Sp Za] w", where, by reductions easily seen we have W'= (— 1)9+?+9TT (20 — 29) Tk. 0—5—29-20(p')n - 8-29 - 24 ~ 2e+s+2*TT g(r —g) (nm —s — 2g — 2k) I(s +h) pil(k—p)qil(k—gq) ° In the place of p, g we introduce the indices u, v, respectively by the relations gtp=u, gt+q=v. The limits of u will be Ww=9 and w= gtk v=g and v=gthk. As k does not depend on p, q we replace it by the index / by the relation gtk=l. The limits of 7 will be /=g for k=0, andl=r fork=r—g. The limits of w and v will then be w=g and u=/, and the same for v. We have now (s) ue u d 2 — 8 —2u( mp! \n—s —20Y""’ Zz = [S"9 zl yu IE: 2u(sy'r—s 20" where wre (oe (2n — 29) —9)2- t oT on — PG =< ee =9) * Tu—p—wle—g)id—) Sa The quadruple sums 2 must now be submitted to interversions so as to bring the. sums relative to uv and v to the left of those relative to g, /. TRANSFORMATION OF LAPLACE’S COEFFICIENTS. 25 Interverting / and u, we have to consider the following figures : () ee These figures show that we have Ll Sus Su D7. g g g u Summing the second member in respect to g and interverting g and u, we get (U1) (9) 29 Bu =z 29. We have now the intermediate result, 2 = [Byu Big Zip Bol Wearereies 26 DR GUSTAVE PLARR ON THE Interverting / and v, we have to remark that by its limits g is never greater than u, as We decompose therefore the limits of v into two parts, the one from g to u, the other from u+1 to the limit 7. We have then r 1 u r 7 r 2, zy = 2 y+ 20 2 L. We have to sum this by 29 and intervert g and v; thus we have (7) TRANSFORMATION OF LAPLACE’S COEFFICIENTS. First, 2 2 es Secondly, PA 2 OG Thus we get | Su a Sy iH] alg +20" Zi.” Boy Tel We may write this under the form 7 — [Siu | (ie eae rafts s— ”Sa, 2 n +[3,u >: oo" s- uy, n— —s— “*S(v, wu), where S(u, v)= bo g> 't] W as and S(v, wu) is derived from S(u, v) by the permutation of u, v, 27 These double sums represented by S(u, v), S(v, wv) depend on the indices alone being freed from the variables «, x’. They are therefore simply numerical, depending of course on 7, s, u, v; 7” being the abbreviation of $(m-s) when integer, and being changed into 7’ when $(n —1—s) is integer. We introduce two new indices in the place of g, l, by g=o—4 l=ut+). As we have zg = PI) . we do not change the sum in taking the elements relative to 7 in inverse order. we have now S(w, v) = [2% >] Ww”, where by the expression of W’” at the end of § I. we have (=1)"tTI(2n — 20+ 21) (uv +4+j)2”?-*! Qnt+s+2ut+2TT(y—d) II (n—v +2) I (n —s—2u— Dj) * 1 I(st+u—v+i+j)l(u—v +o 0@)M(w—v+)) WwW" — Thus We will now make use of factorials in order to extract from W” a factor A inde- pendent of 2, 7. VOL. XXXVI. PART I. (NO. 2). F 28 DR GUSTAVE PLARR ON THE.» By the general type we have (a+) =Wa x (a+1)/+1 II(a— —a) =a. Applying these, we get Ww”= AT, where (—1)*II(2n — 2v)IT(u — v)2”” 1 oe 2r+s+ ETT y(n — v)L(n —s —2u) * Il(s+u—v)M(w—v) x (uw v)’ Te (—1)(2n4+1—2v)/41 (u—v4+1)/41,2- ny 24 n—v+1)i*1 pi ee vil-1,(n—s—~ Quy} (stu—vt ly ot DT LAT Ay — yp ly Reducing A, we have (—1)"TI(2n—2v)2-n-s- 20420 ~ Tel (n—v)I(n—s—2u)II(s -u—v)L(w—v) As to T we extract from it a factor Q depending on 9 only, taking (stu—v+lj*15 (st+u—v41y41 x (stu—v4j41)"*1, and having by this relation if we make s=0— u—v+l1yie Geek Cee Ope aye, and putting T=Q(j) x P@J), we have (n—s—2u)7/-1 Q0) = 22(s+u— ot 1)/+1, p+? (GAD Qv)2/+ Vu —v+g +1)/41, 2-2 . yil-1 (stu—v4j+l)u-—v+ lye P97) = (n—v+ly*1 We may further transform P(7, 7) by applying the general formulas aPi-\=(—1)).(—ayi 2aP/+4 = Qqh/+? x (Qa + 1)?/+? = 2% ql+lq 4 }y/i+1 Thus = 1)'vi/-1=(— y)i41 (Qn +1 —2v)41= 27% (n+ 4—v)I+(n41—v)i+! These give PG, = ls fame Canes Nas Ce ee ba Also, applying Pply =) @2/-1 — 92 qbl- "qa@—+4)l- 1 =) (—a)/+(—a+4)t1, TRANSFORMATION OF LAPLACE’S COEFFICIENTS. 29 we may write Q( 7) under the form, n—8s jJI+17 y—l—s i+) Gas, Soar: a W+\s+u—v+1pl} Q))= With these expressions of A, Q(7), P(i,7), we have now Siu, v)=A[S0 SV QAPG. A): or, as the limits of 2, 7 are independent from one another, we may intervert so that Su, )=A[S) QDS] PUD, where 7 is to be replaced by 7” as the case may demand. § IL We are now arrived at a stage where we have to consider generally the transforma- tions of sums of the form te 7 gl BuHigi+. [2, | mgt which we shall designate by a, 8,6 aK Ye ): We shall assume that the number of the terms be limited in consequence of the hypothesis a=integer negative. By this the upper limit ¢, of ¢ will be t1j=—a. Of course we must also assume that the factors in the denominator do not pass through zero for any value of t between its limits. This involves the hypothesis that y, or e, or both, should they be integer negative, must be in absolute value greater than —a. For the transformation of F our auxiliary will be a particular case of Gauss’s function,* 2 t/+1Qt/+1 (ie ox ana Sa, B, Y x)= ee ‘irae : Our particular case is of course ae a=integer negative. * Commentationes Societatis Goettingensis recentiores, to. il., anno 1812. 30 DR GUSTAVE PLARR ON THE Let us apply Gauss’s method to this particular case only. We have then (a1) = gitiatt ; a Hence (a-++1)/+1— ai!+t j4+1 This relation takes place for any value of ¢. For t=0 as well as for ¢>t, (where t, = —a) both members vanish. We may put the second member under the form (a+1)-¥+1 lee and make use of it only from ¢=1 to t=¢,; or, if we put (eee make ¢’ to vary from t/=0 to ¢’=t/=t,—1 (where a+1+¢,—1=(a+1+t,) vanishes). Thus we may write (a+ 1)/+1 — gi (a+1)'/+1 es See (oes Likewise we have BY" 8 Gres fy lye Multiplying this member to member with the preceding equality, and summing in the first member from t=0 to ¢=¢,, in the second member from ¢’= 0 to t’/= — a—1, we get (a) a+1,8\_//a,8 _B ,fatl1, B+1 ( Y ) eS, K ytl }: Secondly, in treating B as we have treated a, we get r(2 B+ ) —f(28)—* ee B+ :) Y Y Y y+1 We write this result for a+1 throughout, in the place of a. This gives (5) j(R BAY) _ 9 (CHRP) 24) f(CAR BED), In the third place, we have 1 y— tet al iene 1 Cs as MO es CS Hence 1 1 iu 1 1 Fal gaan gr |-g=oy. PGE We have also a! BU+1 =, B. (a+ 14 B+1)/41, TRANSFORMATION OF LAPLACE’S COEFFICIENTS. ol Multiplying member to member and summing, we get aB\ (a B\_ a8 (atl, B41), ee) SCS ete) We write this for a+1, B+1, y+1, in the places of a, B, y, and get ©) pet BH1 patL B41 (+VG41) (42.842), ¥ ytl y+ 1) y+2 By the combination (c).—(a) —(b) we get, after reduction of the terms in the first member, ae a+1,8+1_(at1\(B+I)) -(a+2,8+2 ar nas Crs) #( yr2 a+1 ./a+2,B+1 ae y+1 ) B .(4-) Cady Ft gaa ) The two first terms in the second member are eer dee But if in equation (a) we transpose the first term on the left to the second member, and write the whole equation by augmenting every letter by unity (a+1 into a+2, £8, &c.), then we see that the factor of “t+ in the preceding expression will be — 7 (REE). Collecting now all the terms containing this last function, and passing them into the second member of the preceding equation, we get eit fae Y Y =12Bnart f(CEee). Writing this equation successively for a+1, B+1, y+1, for a+2, B+2, y+2, &e., up to a+t,, B+t,, y+t; multiplying all the results, member to member, and dividing out the factors which both products will have in common, we get f(SB) == B Se 5( GE). The ratio in the upper factorial is = — 1, because Gl) = (84 1)—(an)) st @>pa—1)—1 32 DR GUSTAVE PLARR ON THE is decreasing, and so on. But as we assume t,ta=0. and have generally (a+t, —1)/-=(a4+t, -—1-#,4-1)/=a'/41, and as f(a+t,, &.)=/(0, &e.)= +1, because it reduces itself to its first term, which is ~~ unity, we have finally a (ef) This formula (I.), which has been founded on the hypothesis of a=a negative integer, is contained in Gauss’s result, I(y— 8 —a—1)0(y—1) I(y—a—1)N(y—8—1)’ in which the function [1(x) is a transcendent of the same kind as the function (1 +2), and in which the variable x represents any number, not necessarily integer. In fact the case treated by Gauss relates to an infinite series in which neither a nor 8 are supposed integers. We apply (I.) for the transformation of a, B, 6 F( Y € ) j Writing —t,b £ 1 —PetIpH/t1 (e — y+ (=) pel (cb) ]/F1¢u/+1 = AT? we assimilate the third member with t/+1 Y, € This gives O=Cc—), «<«=C; hence b=e—6, c=e Thus we get the double sum 2 : a, B, ) -a t all +1 Bt+1( s ty +We = 6)a+1 e(2")= [3,7 2) The interversion of the indices t, w gives -a t —a —@a 2, tZw=2, w 2, t. We put t=w-t, O32 Oo TRANSFORMATION OF LAPLACE’S COEFFICIENTS. then the limits of ¢’ will be 0 and (—a—w), and we have a, 8; 6 aa aZl/t1B¥lt+1(— — 6+} a Y€ mt [2, | Lel+ lye) +t eei+1 ve) where, considering that (<0 (-aet _(- jue III(¢ —w) je/+1 > we have ‘sé —a—w,, (a + wy ltl + W Yl U»=(-1) [S, t ] Vy ate os By (L.) the second member will be — B)1-¥+1 y= (= 1)" OO where = —a. But we have (y— By = (y—B)- (ey —B4+4—-1)"77; and as the second factor on the right is Gly. (-7+ 8-1 namely, (—1)"%at+B—y+1)"*1, we have first, Spy = eee Th wy (a+ B—yt+1)"*? en (y+ w+) = (y+ w) +1 x (yt wt, —w)+ , hence 1 Gta og the third member being deduced from opr Od me al Ny ft ITE tle tap) iltt As Ciex(—)) 7 s u (y — leita ayuies® ° GF Bayt 1 ofr we have now Replacing ¢,= —a, and introducing U,, in the last expression of as F pe) , we get EEO Oe ee a, B,(e—6) (IL) i Ie yl Behe} : From this we might draw several other combinations. We will only notice the one which we shall make use of further on. 34 DR GUSTAVE PLARR ON THE If in the second member we put under the sign F, e—d=0 at+B—y+1l=e, e=y’, HPF) by (IL), and expressing we get : rebt EOE Pst 7286-9) Syl ee pega) Now é—d0 =a+6+d—y—e+1=€; a+B—-—y+1l=a+6—e+1. We have thus (III.) a) eee a) with the above signification of €. In our application of this we shall find €=0, in consequence of which the F of the second member will reduce itself to its first term, which is unity. § IV. We apply (II.) to the transformation of [S]PG, 7) of § 11. We have to put a=—v, B=n4+3-1, d=u—-v4+j+1 y=u—vt+l, e=st+o. This gives —a=+v —B=ut+h—-n e—oO=S. a+B—y+tl=n+4-—u-v Then [371] P@ )=B [Zi] Pw), where ili (u—v+1)"*1 Pe po a enn ’ Litt, (n+4 -u—vyi*s+u—v4+j+ 1)! TRANSFORMATION OF LAPLACE’S COEFFICIENTS. 30 We have now S@u,v)=A.B.[3"°9 > i] WAP). We may intervert again the sums 2, because the limits of the indices are independent from one another. In the denominator of QP’ we remark that the product (s+u-v+1)"*1 x (stu-v4+j+ 1)! can be written under the form (stu -—v+1)!4 x (stu-—v+i4+l1)yi+, By these changes we get Sw, )=A.B. [363°] P'Q'GI), where (-v)#41. (n+ - v)l41, (s)#41 EOS 1/41 (n+4-—u-v)ji!t!. (st+u—v41)"*! n—s +17 m-1-s Alt Cogn 2 Ce) W+s+u—v+i4+1yit} To the summation of [So “7] VG, 7) =Q, we can now apply (I.), but we must treat separately the two cases (1) n-s=2r, (2) n-1l-s=2r', r and 7” being integers. In the first case we have to put a=-r+u, B=-r+h+u B=at4 y=stu-v+i4+l, and we get tet] ays yobs eat Q =[3, i] QI) = oobi bly In the second case we have to put then B’=a'—4, namely, VOL. XXXVI. PART I, (NO. 2). G 36 DR GUSTAVE PLARR ON THE y' =y the same as in the first case. Thus we have the slightly different expression Pe) ig ay ete otis Q¢ = iS; j| Q'(4,9) ~ (s+u—v+14ijyr 44 We transform Q and Q by the help of qite/+1 = alta + qjel+d = avl+(a, -+ wilt! ; from which +1 en ember Ee IS oH) (a+2)" = qt! x eres 4 In the ease of Q®, we put w=r—U, and in the numerator, a=r+s+i—v. Hence a+w=2r+s+}—u—v =N+F—U—v, because of n -s=2r. Thus the numerator in Q will be Ne \ree red (n+$—u—v)I*} (r+s+ 9 v) 4 (r+sth Lp A The denominator in Q” will be (str—v+l1)/*! (she 0) ie ena ory Dividing the first of these expressions by the second, and putting foe ibaa a) hina ~ (stu—v4+lyrwev? (n+}—u—v)"*"(s+u—v04+1)!*1 (r+s+4—v)'!7(r+s+1—v)i*1" In the case of Q” we put w=r—U a=r+s+3—v. Then a+w=2r +s+3—uUu—v=n+}—-Uu-2, because of 277=n—1—s. We have then in putting _(r'+8+$—v) "#1 ~ (s-u—v+ly-vtl’ (n+4—u-—v)!(s+u—v+1)it1 (7 +8+3—v)/71(7r'+s4+1—-—v)!" C Q)=C'x TRANSFORMATION OF LAPLACE’S COEFFICIENTS. oF We have now in the case 2r=n—s, S(u, v)= AB[E i] QP"(), Q® becoming Q” in the case 27/+1=n—s. On forming the product Q”P’(z) we see that Q® has in its numerator two factors which P’(z) has in its denominator. We have thus in the case of Q, accounting for the factor C, S(u, v)= ABCD , where _ fs]. (—v)!1(n + 4 —v)I4(s)41 p= [>"1] Vly +s+h— vl (rps Toy in the case of Q, containing C’, S(u, 1) = ABCD’, where (=O) Gee Oe Lr +s+3—v)/*'r' +s+1—v)ih p= [4] If now, for the sake of applying (III.), we put in the case of D, a=-—v : B=n+}—v y=r+sty—v e=7r+s+l—v Ss we get a+6+é6+l=n+s+3—2v, y+te=2r+2s+ 3—2v, hence (=n—2r—s, which is equal to zero by the definition 2r=n-s. We have then y—B=rt+s—n=r+s—2r—s=—7, e—- B=r+s+}—n=r4+s+}-2r-s, e—B=—r+h. Thus putting F=1 in the second member of (III.), we get a (=r)! — rh ~ (rtsth—v)"tr+s4+1—vyite For D’ we have the same values for a, B, 6, but y =r +s+a—v e=7r'+s+l—v y' +6 =2r'+28+3—2v (=n+s+3—2v — 2r’—2s—8+2v =n—2r'—s—-1, 38 DR GUSTAVE PLARR ON THE which is also equal to zero by r=hkn—-1-s), which gives n=2r'+s4+1. Then y —B=7'+8s+3—-—v—n—}+4+0 =r'+s+l1l—n =—,7’ ¢ —B=r'+s+1—v—n—}+4+0 =r+s+h-—n =7+s+4—27r'—s—-1 =—-7r—-4. Putting F = 1 in the second member of (III.), we get ( fa = : oP -6.b™ Ao=PaPs, Ai= n+s.n+s—1...n—s+l 2% = The author starts with the general term A,, writes therein i 1—2’, y?=1—2”, and by means of a process (which is of necessity a difficult and complicated one) of the summa- tion of factorial expressions, succeeds in reducing this to the required form, numerical multiple of &°P,. 8.P | It would probably be somewhat easier (although far from easy) to verify directly the deduced relations 1 a ——— 6 202’ Ao, A ee i5 70x Ad, =f A, Ae 5 aa n+2.n—1 ~ +s.0— (in which, of course, y’, y” must be regarded as denoting 1—«x’, 1—x” respectively), thus reducing the problem to the verification of the first equation Ja Viree | ealens G and as regards this equation it would be perhaps easier (instead of writing y =1—2’, y?=1—x”) to homogenise the equation by introducing in the several terms thereof the proper powers of 2’°+y’, #?+y”. The left-hand side would thus be a given function homogeneous of the order n in x, y, and homogeneous of the same order in x’, y’ (y, y’ entering in the squares y’, y” respectively), and this should be identically equal to the right-hand side P,P,’ expressed in the known form n—I n—1.n—2.n—38 ; n—1 , (a” _ goa a a thy — w0,)(a—" - aia aT we.) VOL. XXXVI. PART I. (NO. 2). H IIl.—Phases of the Inving Greek Language. By Emeritus Professor BLackte. (Read 3rd March 1890.) GENERAL SCHEME OF CONTENTS. PAGE PAGE 1. Historical Glance at the Conditions of Change to its legitimate Position as dominating the in the Greek Language. Specimen of the corrupted types of Local Idioms by Korazs. Current Greek of the Newspapers, F 45 Regeneration of the Current Greek since 1822, 51-52 2, How the Current Notion of Greek being in a 5. Principle of wise Compromise between the Lite- state of Barbarous Corruption arose, and Con- rary and the Vulgar Greek in the Formation fusion of two Strata of Greek—the Literary of the present universally accepted type of and the Popular. Specimen of the Vulgar the Neo-Hellenic Standard, as distinguished Greek of the Peasantry, : . 46-47 from the Romaic Dialect, . : . 52-53 3. Philological Classification of the Differentiating 6. Scheme of Reform for the Teaching of Ghee as Features of the Vulgar or Popular Greek, . 48-51 a Living Language, with an indication cf the 4, Restoration of the Greek of Literary Currency advantages to flow from such a Reform, . 53-55 I will commence by stating that three reasons have moved me to bring this subject before the Society—(1) Because I found everywhere loose and even altogether false ideas possessing the public mind on the subject; (2) because I much fear that we, the academical teachers of the Greek language, are chiefly to blame for the currency of these false ideas; and (3) because, if Greek is a living and uncorrupted lancuage, and dominating large districts of Europe and the Mediterranean, as influentially as French on the banks of the Seine and German on the Rhine, it follows that a radical reform must take place in our received methods of teaching this noble and most useful laneuage. Now that the current language of the Greeks in Athens and elsewhere is not, in any sense, a new or a corrupt language, as Italian is a melodious and French a elitter- ing corruption of Latin, may be gathered even a priorz; for languages are slow to die, and the time that elapsed from the taking of Constantinople by the Turks in 1453 and the establishment of the Venetian power in the Morea in 1204, to the resurrection of Greek political life in 1822, was not long enough to cause such a fusion of contrary elements as produced the English language from the permanent occupation of the British Isles by the Normans. Nay rather, so far from being a fusion, there was a strong repulsion between the Mahommedan conquerors and their Christian subjects; while the jealousy © between the Greek and the Latin Churches acted as a strong force to prevent any trans- forming power that might have been exercised on Greek by a sporadic contagion from the Italian ; and the results in the present state of the language are just what were to be expected from such historical antecedents. Local varieties of careless or corrupt Greek of course may be found among the peasantry, just as we have one type of English in Yorkshire, another in Dorsetshire, another in Lancashire, and a fourth in Scotland; for Scotch is in no sense of the word a separate language from English, as Gaelic is from VOL. XXXVI. PART I. (NO. 3). I 46 EMERITUS PROFESSOR BLACKIE ON THE Welsh, but only the lyrical and musical dialect of the English tongue, as Doric was of the Attic Greek. The few blots and blotches that the popular Greek had contracted through long centuries were prevented from impressing any permanent stamp on the current language, partly from the uninterrupted action of the Greek Church and partly from the continuous literary traditions of Byzantium among the educated Greeks in Venice, Cephalonia, Mount Athos, and elsewhere ; and the consequence was that so soon as the oppressive yoke of the Turks had been fairly thrown off by the happy conclusion of the revolt of 1822, any Turkish and Italian corrupting elements that had partially defaced the popular dialect were thrown off as the scales of a skin disease, and left not a mark on the fair body of the tongue. As a proof of this, | lay before you a short paragraph, the first that comes to my hand, from a recent Greek newspaper, the ’E@ypepis, published at Athens, October 15, 1889, in which an account is given of the marriage of the Prince Royal of Greece to a daughter of a royal European house. ) Mores TapnAOov elKOoL Xpevor amo THIS 7pepas Kad? Hv eyevvaTo TO TPOTOV €AAnVUKOV Baciro- TovAoV, Hs OUpavOTEUTTOY YXapiTia, ws poddxpucos avyn TavedAnviov éAmidwy, oKedaCoura Ta cKoTn TIS wKTOS. Eis To BaciNdrovAoy éxapicOy TO dvoua Tod TeAevTatov “EAAyvos avToKpa- TOPOS, ele TOU OTOloU THY expovynow ouykAoverTat Kat NaxTapet Kat Tov ‘“EAAjvev 6 ETXATOS. Kai 0 veos Kavoraytivos wvEave Kal emeyaduveTo els appevwmov VEAVLAV, Kat ouvedevoy avuTov ev TO Biw a0 TOUTOY els eketvoy TOV oTAaOMOY at EUX GL, ot 70001, 7 ayarn ravrov nuav. Kat uvorixy atyAn Tov mepieBarr€ Kat avwbev avtov émavaTo Kal Tov éoxiaCe Oud XpuT@v TTEpUywv TO dpwroBorov TVEULa TOU peéAXNovTOS. : Anybody that can read Potysius or Dioporus, PLuraRcH or CHRYsosTom, without a dictionary, will understand this at a glance; for the deviations that occur in it from the strict classical form are so few and so slight as not to throw any hindrance in the way of a scholar of common intelligence.* The so-called corruption of the Greek language is therefore, if understood of the current language of the day in newspapers, an imagina- tion, consisting, as it does, in only a few superficial changes, such as any language in the process of centuries naturally undergoes. How this imagination arose can be easily explained ; first from the systematic divorce between the academical teaching of Greek and the speech of the Greek people, caused by the hybrid and arbitrary pronunciation of the language that followed upon the sceptical solution of sceptical doubts raised early in the sixteenth century by a notable work of Erasmus, the effect of which was to make the university man look upon the speech of the living Greeks as barbarous, while the grand barbarism lay with himself; and again, from the superficial notice of the current Greek taken by the academical men, leading them to confound the lowest specimens of vulgar Greek in the popular ballad with the current language of the Church and of educated men from the taking of Constantinople downwards. From this point of view, no doubt, * These are—(1) xecvo: for ern, but used also sometimes in later Greek. (2) BaaiAdrovaoc for prince, where rovaos is acommon termination of Greek proper names, corresponding to son in English and Mac in Gaelic. The etymology from 7ar0-, Lat. pullus, Eng. foal, is obvious, (8) ¢ dds; for és, probably introduced from the Italian 2 quale. (4) Aayraori, « new formation from awxrifw, signifying the kicking or beating of the heart against the ribs in cases of vehement desire. (5) eis with the accusative, used for é with the dative (see below). PHASES OF THE LIVING GREEK LANGUAGE. 47 modern Greek might be called a corruption, or at least a deviation from the recognised type of correct expression, just as the Milanese dialect of the Italian is a deviation from the Florentine standard, and the low German of the common people, in the lower region of the Rhine and the Weser, may be called a corruption of or a vulgar deviation from the high German type made classical by Martin LutHer; but even in the lowest of these low forms of the vulgar speech of the people, the inherent vitality of the continuous literary tradition manifests itself so strongly, that of corruption in the strict sense, that is, impurity from the infusion of foreign blood, the traces are remarkably few, and the changes on the face of the type, though sufficiently marked, are very far from consti- tuting what can with any philological propriety be called a new language. As a specimen of what this uncultivated form of the vulgar street ballad mostly was, we cannot do better than insert here one of the oldest of the historical ballads found in Passow* and other collections, viz., a few lines on the taking of Constantinople by the Turks, a ballad con- temporaneous, no doubt, with the achievement of that bloody inroad of oriental barbarism into the intellectual civilisation of the west:— Ily A ON “~ , ! - 4A > rv , ! npav Thy ToAwW, THpav THv! mypay THY Dadovikny ! a N n) € ae N \ , , Iypav kat thy ayray Lodiay, TO péya movacTipt, 9. GN , , > en, \ , : IV etye tpiaxocia ojpavtpa x’ 6€nvTa dvo Kaptravass nF: , \4 Lo , Los A Kade cautrava xai waTmas, Kae Tamas Kal OLakos. ‘\ Wk! - A ov > ¢ lal ral , Diya va ‘Byouv ta dyia, x’ 6 Bacireas TOU Kocpou, A A > ven >) A ° , ’ 2 A , m Pwvyn Tous ip’ e€ ovpavov, ayyéedAwy am TO cTOMa a 9 \ r N ‘ "Agi avtiy TH Waduwdiay! va yaunrooouw 7 aya! A t , P) A \\ \ » Ni A , Kat oteiAte Aoyov ’s tHy Ppayxiay, va éo0ouy, va Ta Tracour, X , \ \ \ eho Na rapovy Tov xpvcov eravpoy Kal T adytov evayyéAuoy, N A e , | / A A A i} i? Kat tv ayiow tTpatrefay, va un THY GmodvUvour. ” r , € inal “Sav 7 axovoey 7 Aéoro.va, daxpuCouv 7 eikoves > , / , { A Ls \\ , { oma, kupia Aéorrowa! pn KAaigs, mn Oaxputys ! r A , \ A Ls , iD) ” Ilane me xpovous, me Katpous TaXe OuKa cov etvat. They have taken the city, they have taken it, they have taken Thessalonica, They have taken the holy Sophia, the big cathedral, Which had three hundred hand bells, and sixty-two great bells, With a priest for every great bell, and for every priest a deacon. As soon as the holy host went out, and the king of the world, A voice came from Heaven, from the mouth of angels, Leave off your psalmody, and set down the host, And send word to the land of the Franks to come and take it, And to take the golden cross, and the holy gospel, And also the holy table that it may not be polluted. This, when our Lady heard, her images begin to weep ; Be still, revered lady, wail not, weep not, For again, with the years and the seasons, St Sophia will be thine. * ronyovoie Paweine, edidit ARNOLDUS Passow, Leipzig, 1860, 48 EMERITUS PROFESSOR BLACKIE ON THE Now in this passage : he _ For THpav write e7ypav. For XaunrAwo our write Xaparwcr. A 4 ‘ lé » THY »> GUTH. » OTELAE » oTelAaTe. Ld > ° > » MovacTipt » Movarrnptoy. » €p0ouv » €dAPwaor. € , \é , »» Kam7ravais » kKwdwvas. » Wlacouy » TLELWTL. Cr rol r °° ’, » warTras » lepeus. » Tapouv » eTapwct. 10 e ’ , :) , » kaGe » €KAOTOS. »» @uAvyouY » GapvAvvwct. , , x e 5» OlaKOS » OlAKOVOS. » ay » WS av. 4 € « » olua » Ws »» GKouUcEV » yKOUCED. , ec , , » va py kiya: » Oakpucouv » Oakpvouat. ~ , , ~~ Ly » PByovv » €kBaivovar. i 5 rt , , » PBacreas » Pacrrevs. » CWT. » CWOTO. col 9, ~ p , » TOUS » GUTOLs. » 7ade > WAALy. > > \ ‘ ” 700 » prOe. » ME » MeTa. 4 , , ‘ .) , » TOOTOMA » TOU CTOMATOS. » OlKG » lOl“Ka. ° an ’ , rt 7+ » apyr » alee. » Elva See Ontaee Now here we have thirty corruptions for only fourteen lines; but some of them are mere repetitions, and others are so slight as to be easily guessed ; not, certainly, amount- ing to a new language in the sense that Spanish or Portuguese are new languages from Latin, and Dutch a distinct species from German. Let us now classify, under distinct heads, the deviations from the literary type which this and similar productions of the unlettered Muse sporadically present. 1. The loss of the infinitive mood, for which va for ta with the subjunctive is the regular substitute, as if we should say in English “I beg that you accept,” for “I beg you to accept.” 2. The loss of the optatwe mood—logically to be lamented, but practically of no consequence—“I said so that you may not misunderstand me,” being as intelligible as “that you might not.” In Greek this loss was facilitated partly by the multiform luxu- riance of the verb, partly by the identity in pronunciation of o and 7, both being the English ee, which appears regularly in the New Testament (see John iii. 25). 3. The disappearance of the dative case is much more serious ; no doubt the accusative is the case in most frequent use, and which strikes the ear more forcibly ; our language, which is a history of losses, has done the same, “ him” standing for the German ihm and thn; but the Greeks have done worse; along with the dative case they have lost the preposition év, with which it is naturally joined, and so for “ in these circumstances,” they say, us Tas TepisTtaces TavTas, as in Scotch we say, “this man has muckle room in his head, but there’s na muckle intil’t.” 4, Another equally, perhaps more serious loss, as more foreign from the genius of the classic idiom, is the resolution of the tenses expressed in English by “have” and “ had,” “will” and “should,” into auxiliary verbs exactly as in modern languages—étya being used for a pluperfect, and 6a for ‘ will” and ‘ would.” PHASES OF THE LIVING GREEK LANGUAGE. 49 5. The sparing of trouble in the memorising of various forms leads to the abolition of irregular forms, and massing them all under a common type ; so in verbs, didu for didwue, Oérw for TiOyu. The irregular present torym was discarded and a new regular verb, common in the New Testament, was formed from the perfect €oTy«a, viz., crew or oTHKW. In the same way 7arépas takes the place of zatyp, from the acc. rarépa, following the analogy of final as in masculines of the first declension, and similarly Basireas for Ba- gAévs, perhaps not innovations but remnants of the old Doric, in whieh a was the favourite vowel. 6. Pronouns and particles, as not being very self-assertive in their nature, and hable to be flung in as adjuncts or enclitics to more prominent words, in Greek, as in all languages, are particularly liable to curtailment or careless treatment of some kind: so was for yuas, cets for vuas, Tov and Tov for av’rod and avrov, va for iva, tov and zw for o7rov, and for “who,” 7s, for “that,” conjunction, dev for ovdév; as with subjunctive for aes, like English “let,” aes tOwpmer, “let us see” (Matthew xxvii. 49). In this instance, as in the use of ‘va with the subjunctive, we see the modern Greek is simply a natural develop- ment of the Greek of the New Testament. See for wa, Matthew v. 29; vu. 4, 12. 7. In nouns and verbs, and compound words, apaipecrs, or the cutting off the initial syllable, is very common: thus, twpca for drwpixa, for omdépa, “fruits in their season ;” miow for omow, ypausuevos for yeypaumevos, as in English “ given,” for the Teutonic gegeben ; in a great number of compounds of ¢£—Eecvpw for eEevpw, Eaxovoros for éEaxovetos, EecxewaCw, for eLerkeT al w—vouaT0s—OvopaTos——GV0LaTTOS, ‘a person.” Nor is apocope less common not only of syllables but of single letters, as ra:dt for TaLolov, oALryo for oALyov, ypapoupe for ypapouer, as the 1st person plural of verbs. 8. Not unfrequently both apheresis and apocope take place, until the word is scarce recognisable. This is specially observable in diminutives, of which Greek, like Ltalan, is very fond, thus— OMma OMmaTLOV OMmaTe Mare ops oidrov opi. pice Ogu ofvduov oFvor Eide piKos cpukidvoy epucaxidvov puKacio. 9. Notwithstanding the gracilitas, or graceful tenuity of Greek, as QUINTILIAN calls it, the modern Greeks show a peculiar favour for the broad soft sound of ov = 0 in boom. Thus they have not only ypapouy (Lat. seribunt) for ypaover, a remnant of the Doric, but ératovoa for ératyca as past tense of taréw. A marked Dorism also we have in é\aBav for Or 09 bo These are the divisions of the Coal Measures adopted in this communication,—the Potteries Coal Field being one of those in which the three divisions of the Coal Measures occur, as developed in Britain. t The Upper Coal Measures of the Potteries contain little coal, but yield some valuable beds of Black Band Ironstone. The following section shows the position of the various Coal Seams and Ironstones :— General Vertical Section of the North Staffordshire Coal Field, adopted, unth slight modifications, from that issued by Mr Homer, t Yards, Feet. Inches. 0 f Red and Purple Marls of uncertain depth, ; : ; . 0 0 Strata, : : : : : : 199 2 0 : Half Yards Ironstone and Coal, \ Ine ee : say 3 . ; : = Strata, ; 18 2 0 S Bass, . OPS 8 S| Red Shagg Ironstone and Coal, Ironstone, il 1 0 S Coal, 0 2 0 "3 | Gutter Stone, : 0 2 3 2 | Gutter or Fenton Low Coal, 0 2; 3 = | Strata, , ; ; 17 1 0 3 Oil Shale, Oe t= 9 6 qq J Top Red Mine Ironstone and Coal, - Ironstone, 0 2 6 | i: Coal, 0 2 2 wg | Strata, . 6 0 0 | Shale, Metal and Fire Clay he ae 2 | Strata, ; 25. Omi, 0 S| Yards. Feet. Inches. =) { Coal, 0 8 2 | Dirt, 0 0 3 5 | Hoo Cannel, { Bass, * 0 1 1 2 Tronstone, 0 0 9 i Bass, ee ik 9 5 oe Lalit 6 Strata, ; , : Se ae ei) 0 0 | Spirorbis Limestone, 12 yards above Bassey Mine Ironstone, : : F 0 2 6 * Loe. cit., p. 4. + In regard to the Lower Coal Measures in the above Table, Mr Warp divides this series into two subdivisions— an Upper and a Lower group. The “Upper” group contains the principal seams of coal used for domestic and manu- facturing purposes, and includes the whole of the measures occurring between the Ash or Rowhurst and the Winpenny coals. The “Lower” series consists of dark shales, sandstones, and purple-coloured rocks, with occasional grits and conglomerates. It includes four or five thin coals of little commercial value. Hach group is distinguished by a distinct series of coal beds, and equally well characterised by its organic remains. + “The North Staffordshire Coal Field, with the Ironstones contained therein, ” Trans. North Staffordshire Tngt. of Mining and Mechanical Engineers, vol. i. p. 102, 1879. Mippie Coat Mrasures.—Thickness about 380 yards. = er MR ROBERT KIDSTON ON THE ; Yards. Feet, Inches, Strata, : . ; : ; i ; : ; 12 0 0 Bassy "Mine Th -onstone, ; : : : : c ; ; 1 1 0 Strata, < : : : 9 1 0 Little "Row Coal, . 1 0 0 Strata, : : 8 2 (0) Foot Coal, : 0 il 0 Strata, : 9 2 0 Peacock Coal, : 2 0 0 Strata, ; ' 5 2 0 Spencroft Coal, . 1 0 3 Strata, / , i 23 0 0 7 : as. ee Inches. : : ronstone, . : ; : Gubbin Ironstone in bands, { Bact Paniaes i aa ———_—_— 2 Le Strata, . : f ; , 4 0 6 Yards. Feet. Inches. Roof Coal, g ; ; a pan 0 0 Great Row Coal, « Bass and Cannel, ’ 3 3 ee!) 2 0 Coal, : : : 5 a 0 0 — 3 2 0 Strata, . ; : ‘ ; : ? 5 : : 9 1 9 Yards. Feet. Inches. | [ Coal, 0 7 Tronstone Peel, 0 2 6 Coal, ; ; ; : Be gt 1 0 Cannel Row, Black Bass, , . : : Aaa |) 2 0 Bottom Coal, : : : . O 2 0 Warrant, 0 i 0 —— 4 il il Strata, . : ; t 5 3 : ; : 26 0 0 Wood Mine Coal, : : ; : : : : ; 0 1 6 Strata, : : : : : : : : : : 4 2 0 Yards, Feet. Inches. Tronstone, ‘ t : 0 9 Chalky Mine Ironstone,< Bass, . 5 ‘ . 5 0 i) Tronstone, : ; b= 0) 0 9 — 0 1 il Strata, : 3 1 0 Chalky Mine Coal, 1 0 2 Strata, 39 0) 0 Deep Mine Ir onstone, 0 0 10 Strata, 4 3 1 0 New Chalky Mine Ironstone, 0 2 0 Strata, : 13 1 6 Bungilow Coal, 1 0 6 Bay Coal and Strata, , 73 1 0 Winghay or Knowles Ironstone and Coal, . ; : ; ye ‘ 1 2 6 Strata, . : ; : : : : ; : 24 0 0) Yards. Feet. Inches. Tronstone, ; F , 0 Lae Rusty Mine Ironstone, < Grey Clod, : ; Pk 0 4 Ironstone, ; : : , (0) 0 4 — 1 2 6 Strata, ; : ; é ; : : : ‘ 22 0 0 Brown Mine Ir onstone, F ; : ; : . : : 0 0 0 Strata, 2 : ; : » : : ; : . 58 1 0 Yards, Feet. Inches. | Coal, : 1 1 0 Bass, &e., . ; fy 40 I 7 Ash or Rowhurst Ironstone and Coal, + Coal, . 2 itt sO an Ouet 8 | Bass, 0 0 9 | Coal. 1 0 0 L —- 3 1 1 FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 67 ; Yards, Feet. Inches. ( Strata, : : : 3 : : 4 : : 44 2 Yards, Feet. Inches. | (Ironstone,. O 1 [ | | Bass, 02 SrA yal New Mine, Little Mine, or Burnwood Ironstone, 4 Ironstone,. 0 1 3 Coal, 1 1 9 Bass, 0 1 2 3 i! 6 Strata, 8 0 0 Gin Mine or Golden Twist Coal, + 0 2 4 Strata, 148 0 0 Birchenwood Coal, i 2 0 ae Strata, 19 2 0 4s Moss or Easling Coal, i TOs Ao 5 Strata, 75 0) 0 e Yard ‘Coal, 1 0) 6 © Strata, ; 6 0 0 EI | Little Row Coal, 1 0 0 ea: Strata, ‘ 4 1 0 2 |-3 | Ragman Coal, 0 2 6 2 | po | Strata, 13 2 0 ra | % | Old Whitfield or Birches Coal, 1 Oy, 2 ra |S" | Strata, : 5G. lee 9 i) | Bellringers’ Coal, Lis TO. 2 6 * Strata, 46 0 0 a Ten Feet Coal, 7 all lie 3 Strata, 32 1 0 Sie Bowling Alley y Coal, 1 0 4 = | Strata, : PALE 08S 46 . Holly Lane Coal, 1 0 6 a Strata, . 30 1 0 eS) Hard Mine or Sparrow Butts Coal, 1 0 5 = Strata, 97 2 0 3 Bambury Coal, 1 2 8 4 Strata, ‘ 4] 0 0 Cockshead Coal, 2 1 6 Strata, ; 26 0 0 Whitehurst Coal, 0) 2 3 Strata, 55 0 0 Bullhurst Coal, il 2 0 Strata, leg 0 0 _ | Winpenny Coal, tye. (0, 6 % | Strata, 200 0 0 | Four-Foot Coal, 0 3 6 2 2 Strata, 400 O O = | Two- Foot Coal, Ue eS) [3 (Strata, The whole area occupied by the ee Coal Field 1s of edean extent, Hheosh of great mineral resources. It is of triangular form, the northern apex lying near Congleton, the eastern at Longton, and the western angle a little west of Keel. Its greatest length is about 12 miles, and its width about 8 miles. * In Mr Warp’s Geology of the Coal Field this division is called the Lower Thick Coal Measures, but as the rocks included in this group are evidently the equivalents of the Lower Coal Measures of other Coal Fields, I have omitted the word “Thick,” as tending to create confusion. + In regard to some fossils found in “a bed of grey shaley marl, or ‘clutch,’ lying a few feet above the Gin Mine, or Golden Twist Coal,” Mr Warp states (loc. cit., p. 42) that Mr Joun Young, F.G.S., Glasgow, informed him “that the specimens in the list agree closely with those found in the Upper Coal Measures of Scotland.” It must be distinctly stated here that the term Upper Coal Measures of Scotland, as used by Mr Young, is only of local application, and does not at all correspond to the Upper Coal Measures of Britain. The rocks called Upper Coal Measures of Scotland are only the Upper Series of the Lower Coal Measures of Britain, 68 MR ROBERT KIDSTON ON THE In regard to the Permian Rocks of North Staffordshire, Mr Warp * says :—‘‘ 1 may here remark that a considerable development of red, purple, and variegated marls, which have been coloured by the Geological Survey as Permian, are, I am inclined to think, in reality Upper Coal Measures. It remains a question yet to be decided whether a con- siderable area occupied by beds such as I have described, largely developed on the western and southern parts of the coal field, should with propriety be classed with the Permian or Upper Coal Measure Series. Whatever may be the issue of the inquiry, it is clear that, concerning the line of demarcation separating the Permian from the Upper Coal Measures in North Staffordshire, as yet we know nothing.” In connection with the age of these supposed Permian rocks, it may be mentioned that certain rocks at Great Barr, near Birmingham, which were also thought to be Permian, were shown while sinking the shaft of the Hamstead Colliery to be Upper Coal Measures.t In collecting material for this paper I am indebted for much assistance to Dr Hinp and Mr F. Barxz, Stoke-upon-Trent ; but especially am I indebted to Mr Jonn Warp, F.G.S8., Longton, for the valuable help he has given me, and by whom I was brought into correspondence with these other workers, and through whose kind offices I had every facility given me for examining the specimens in the Stoke Museum. My thanks are also due to Mr R. Cuive for specimens from Tunstall. SYNOPSIS OF SPECIES. Calamites. Group. 1—Calamitina, Weiss., Steinkohlen Calamarien, part ii. p.°96, 1884. Calamitina (Calamites) varians, Sternb., sp. Calamites varians, Sternb., Vers., ii. p. 50, pl. xii. Middle Coal Measures. Horizon and Locality.—Bassy Mine Ironstone. Stafford Iron and Coal Company, Fenton. ee 4 40 yards below Little Row Coal. Clanway Colliery, Tunstall. 5 x Knowles Ironstone. Fenton. BAe) ¥ Adderley Green, near Longton. Lower Coal Measures (Upper Serves). Horizon and Locality.—Holly Lane Coal. Bucknall. * Loc. cit. p. 14. + See Rep. Brit, Assoc., 1886, p. 626; also Trans. Roy. Soc. Edin., vol. xxxv., part 6, p. 317, 1888. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS, 69 Calamitina (Calamites) approximatus, (Schloth.), Brongt. Calamites approximatus, Brongt. (in part), Hist. d. végét. foss., p. 134, pl. xxiv. figs. 2, 3, 4, 5. Calamites approximatus, Geinitz (in part), Vers. d. Steinkf. in Sachsen, p. 7, pl. xii. fig. 3. Middle Coal Measures. Horizon and Locality.w—About horizon of Bassy Mine Ironstone. Tunnel, New- castle-under-Lyme. Great Row Coal Rock. Fenton. Group IL—Hucalamites, Weiss., Steenkohlen Calamarien, part ii. p. 96, 1884. Kucalamites (Calamites) ramosus, Artis. Calanuites ramosus, Artis, Antedil. Phyt., pl. ii. Calamites ramosus, Brongt., Hist. d. végét. foss., p. 127, pl. xvii. figs. 5, 6. Calanutes (Hucalamites) ramosus, Weiss., Steinkohlen Calamarien, part ii. p. 98, pl. ii. fig. 3; pl. v. figs. inp vies pl wii. fies, 2: pl. vill. figs, 1, 2)4; pl ix-tigs. I 2 pl. x. fig. 1; pl. xx. figs. 1,2. Calamites nodosus, L. and H., Fossil Flora, vol. i. pl. xv. (én part, not pl. xvi.) Middle Coal Measures. Horizon and Locality.x—Great Row Coal Rock. Stafford Iron and Coal Company, Fenton. Group IIl—Stylocalamites, Weiss, Steinkohlen Calamarien, part i. p. 119, 1884. Stylocalamites (Calamites) Suckowii, Brongt., sp. Calamites Suckowit, Brongt., Hist. d. végét. foss., p. 124, pl. xiv. fig, 6; pl. xv. figs. 1-6; pl. xvi. figs. 2, 3, 4 (1 2). Calamites Suckowti, Weiss., Steinkohlen Calamarien, part i. p. 123, pl. xix. fig. 1 (1876); part ii. p. 129, pl. ii. fig. 1; pl. iii. figs. 2, 3; pl. iv. fig. 1; pl xxvii. fig, 3 (1884). Calamites Suckowit, Zeiller, Flore joss. d. bassin houil. d. Valenciennes, pl. liv. figs. 2, 3; pl. lv. fig. 1 (1886). Text, p. 333 (1888). Upper Coal Measures. Horizon and Locality.—Shales above Gutter Coal. Hampton’s Marl Pit, Hanley. Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. 70 MR ROBERT KIDSTON ON THE * Horizon and Locality—Below Little Cannel Row Coal. Clanway Colliery, Tunstall. Be J Common throughout the series. Longton. Lower Coal Measures (Upper Series). Horizon and Locality.—12 yards below New Mine Coal. Adderley Green Colliery, near Longton. Bowling Alley Rock. Weston Coyney Colliery, Longton. Roof of Holly Lane Coal. Bucknall. 2 yards below Hard Mine Coal. Weston Coyney Colliery, Longton. Stylocalamites (Calamites) Cistii, Brongt., sp. Calamites Cistii, Brongt., Hist. d. végét. foss., p. 129, pl. xx. Calamites Cistii, Geinitz, Vers. d. Steinkf. in Sachsen, p. 7, pl. xi. figs. 7, 8; pl. xu. figs. 4, 553 pl. xiii. fig. 7. Calamites Cistit, Zeiller, Flore foss. d. bassin houil. d. Valenciennes, pl. lvi. figs. 1, 2 (1886), p. 342 (1888). Lower Coal Measures (Upper Series). Horizon and Locality.x—Bowling Alley Rock. | Weston Coyney Colliery, near Longton. Ma 4 2 yards below Hard Mine Coal. Weston Coyney Colliery, near Longton. Pinnularia, L. and H. Pinnularia columnaris, Artis, sp. Pinnularia capillacea, L. and H., Fossil Flora, vol. ii. pl. exi. Hydatica columnaris, Artis, Antedil. Phyt., p. 5, pl. v. Middle Coal Measures. Locality.—Fenton, and generally distributed throughout the Coal Measures. Remarks.—The plants placed in Pinnularia are evidently roots and rootlets, but it is quite impossible to determine to which plant they belong. Most probably they are the rootlets of many different plants. ‘To the same group of fossils belong the Hydatica prostrata, Artis (loc. cit., pl. i.), and the Myriophyllites gracilis, Artis (loc. cit., pl. xii.), and several other described forms which it seems unnecessary to regard as of specific value, but which would be better regarded as merely roots and rootlets, without any attempt at a specific description. | : ‘ | FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 71 Calamocladus, Schimper. Calamocladus equisetiformis, Schlotheim, sp. Calamocladus equisetiformis, Schimper, Traité d. palednt. végét., vol. i. p. 324, pl. xxii. figs, 1, 3. Casuarinites equisetiformis, Schloth., Flora d. Vorwelt, p. 30, pl. i. figs. 1, 2; pl. ii. fig. 3. Hippurites longifolia, L. and H., Fossil Flora, vol. iii. pls. exe. and exci. Upper Coal Measures. Horizon and Locality.—About 300 yards above Bassy Mine Ironstone. Railway Cutting, Florence Colliery, Longton. 12 yards above Spirorbis Limestone. Fenton Low (Cones). Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. Great Row Coal Rock. Fenton. Below Little Cannel Row Coal. Clanway Colliery, Tunstall. Bay Coal. Longton. Knowles Ironstone. Stafford Iron and Coal Company, Fenton. Lower Coal Measures (Upper Series). Horizon and Locality.—Bowling Alley Rock. Weston Coyney Colliery, Longton. Calamitic Cone. Middle Coal Measures. Horizon and Locality.—Knowles Rock. Longton. Knowles Ironstone. Stafford Iron and Coal Company, Fenton. Remarks.—The cones placed here are not in a good state of preservation, but | believe they are similar to those described by Cruprn as the fruit of Calamocladus equisetiformis.* 29 29 Sphenophyllee. Sphenophyllum, Brongt. Sphenophyllum cuneifolium, Sternb., sp. Rotularia cuneifolia, Sternb., Vers. i. p. 33, pl. xxvi. fig, 4, a, 0. Sphenophyllum cuneifolium, Zeiller, Flore Foss. d. bassin. houil. d. Valenciennes, pl. Ixiii. figs. 1, 2, 3, 6, 7. Sphenophyllum erosum, L. and H., Fossil Flora, vol. i. pl. xiii. * “Fragments Paléontologiques,” Bul. de ? Academie royale de Belgique, 2me sér., vol. xxxviii. pl. ii. figs. 1, 2, 3, 1874. VOL. XXXVI. PART I. (No. 5), Y MR ROBERT KIDSTON ON THE Middle Coal Measures. Horizon and Locality.—Peacock Marl. Fenton. be a Great Row Coal Rock. Longton. 4 x Bay Coal. Longton. Y fs Knowles Rock. Stafford Iron and Coal Company, Fenton. var. saxifrageefolium, Sternb., sp. Rotularia saxifragefolia, Sternb., Vers. i. fase. iv. p. 32, pl. lv. fig. 4. Sphenophyllum cuneifolium, var. saxifragefolium, Zeiller, Flore Foss, d. bassin howil. d. Valenciennes, pls. xli. fig. 1; xliii. figs. 4, 5, 8, 9, 10, 1886, p. 413, 1888. Middle Coal Measures. Horizon and Locality.—Great Row Coal Rock. Stafford Iron and Coal Company, Fenton. Lower Coal Measures (Upper Series). Horizon and Locality.—2 yards below Hard Mine Coal. Weston Coyney Colliery, Longton. pate) a Hollinswood, Kidsgrove. Filicaceee. Sphenopteris, Brongt. Sphenopteris obtusiloba, Brongt. Sphenopteris obtusiloba, Brongt., Hist. d. végét. foss., p. 204, pl. liti. fig. 2. Sphenopteris obtusiloba, Zeiller, Flore foss. d. bassin houil. d. Valenciennes, p. 65, pls. iii. figs. 1-4; iv. ho aiceye figs. 1,2: Sphenopteris irregularis, Sternb., Vers., ii. p. 63, pl. xvii. fig. 4. Sphenopteris trregularis, Andre, Vorwelt Pflanzen, p. 24, pls. vill. ix. fig. 1. Sphenopteris latifolia, L. and H. (not Brongt.), Foss. Flora, vol. ii. pl. elvi. ; vol. iii. pl. elxxviii. Lower Coal Measures (Upper Series). Horizon and Locality.—Bowling Alley Rock. Weston Coyney Colliery, near Longton. S i 2 yards below Hard Mine Coal. Weston Coyney Colliery, near Longton. Sphenopteris grandifrons, Sauveur. Sphenopteris grandifrons, Sauveur, Végét., foss. des terr. houil. de la Belgique, pl. xiv. Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 73 Horizon and Locality.—Great Row Coal Rock. Longton and Fenton. Roof of Great Row Coal. Longton. Chalky Mine Ironstone. Fenton. 22 99 29 99 Sphenopteris latifolia, Bronet. Sphenopteris latifolia, Brongt., Hist. d. végét. foss., p. 205, pl. lvii. figs. 1-5. Mariopteris latifolia, Zeiller, Bull. Soc, Géol. de France, 3° sér., vol. vii. p. 92, pl. 6. Middle Coal Measures. Horizon and Locality.—Bay Coal. Longton. - a Knowles Rock. Longton. 5 (2) € Shelton, near Hanley. Sphenopteris spinulosa, Stur., sp. (2). (Plate, fig. 2). Senftenbergia spinulosa, Stur., Carbon. Flora, Abth. i., p. 101, pl. xlviii. fig. 6. Remarks.—The specimen is too fragmentary for a satisfactory determination. Middle Coal Measures. Horvzon (?) and Locality.—Hanley. Sphenopteris spinosa, Géppert. Sphenopteris spinosa, Gopp., Die Gatt. d. foss. Pflanzen, Lief. 3, 4, p. 70, pl. xiii. Sphenopteris spinosa, Schimper, Traité d. palednt. végét., vol. 1. p. 405. Sphenopteris spinosa, Zeiller, Flore foss. d. bassin howil. d. Valenciennes, p. 135, pl. xv. figs. 1-3. Lower Coal Measures (Upper Series). Horizon (?) and Locality.—Scot Hay, Silverdale, Newcastle-under-Lyme.* Eremopteris, Schimper. Eremopteris artemisizfolia, Sternb., sp. Eremopteris artemisiefolia, Schimper, Traité d. palednt. végét., vol. i. 416. Sphenopteris artemisiefolia, Sternb., Vers., i. fasc. iv. p. 15, pl. liv. fig. 1. Sphenopteris artemisiefolia, Brongt., Hist. d. végét. foss., p. 176, pls. xlvi. xlvii. figs. 1, 2. Middle Coal Measures. Horizon (2) and Locality.—Fenton. * This species has previously been only found in the Middle Coal Measures in Britain, and the bed from which the Staffordshire specimen was derived is high up in the Lower Coal Measures, and perhaps on a horizon with the lower part of the Méddle Coal Measures of other areas. When the three divisions—the Upper, the Middle, and the Lower Coal Measures—are present in the same coal field, the exact position of the dividing line is often a matter of individual opinion, though the different facies of the fossils of the various divisions, when taken as a whole, is characteristic of each. MR ROBERT KIDSTON ON THE Neuropteris, Brongt. Neuropteris heterophylla, Bronet. Neuropteris heterophylla, Brongt., Hist. d. végét. foss., p. 243, pls. Ixxi. Ixxii. fig. 2. Neuropteris Loshti, Brongt., Hist. d. végét. foss., p. 242, pls. lxxii. fig. 1; Ixxiii. Middle Coal Measures. Horizon and Locality.—Great Row Coal Rock. Fenton and Longton. Below Little Cannel Row Coal. Clanway Colliery, Tunstall. 2? 99 Lower Coal Measures (Upper Series). Horizon and Locality.—Bowling Alley Rock. Weston Coyney Colliery, near Longton. Bowling Alley Rock. Longton. Roof of Holly Lane Coal. Bucknall. 2 yards below Hard Mine Coal. Weston Coyney Colliery, near Longton. iy (2) - Raven’s Lane, Audley, Newcastle-under-Lyme. Ra) z Scot Hay, Silverdale, Newcastle-under-Lyme. 3» (2) a Chesterton, Newcastle-under-Lyme. Neuropteris tenuifolia, Schloth., sp. (?) Filicites tenuifolius, Schloth., Petrefactenkunde, p. 405, pl. xxii. fig. 1. Neuropteris tenuifolia, Brongt., Hist. d. végét. foss., p. 240, pl. lxxii. fig. 3. Neuropteris tenuifolia, Zeiller, Note sur la flore howl. d. Asturies, p. 5 (Mém. Soc. Géol. du Nord, 1882). Neuropteris tenuifolia, Zeiller, Flore foss. d. bassin houil. d. Valenciennes, p. 273, pl. xlvi. fig. 1. Middle Coal Measures. Horizon (?) and Locality.—Fenton. Neuropteris rarinervis, Bunbury. Neuropteris rarinervis, Bunbury, Quart. Jour. Geol. Soc., vol. iii. p. 425, pl. xxii. Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. Peacock Marl. Berry Hill, Stoke-upon-Trent. Peacock Marl. Fenton. Great Row Coal Rock. Longton. Below Little Cannel Row Coal. Clanway Colliery, Tunstall. Knowles Rock. Longton. Knowles Ironstone. Fenton. | d ‘ | 1 FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 75 Neuropteris ovata, Hoffmann. Neuropteris ovata, Hoffmann, Keferstein’s Teutchland geognostisch-geologisch dargestellt, vol. iv. p. 158, pl. i. 0, figs. 5, 6, 7 (Exel. fig. 8), 1826. Neuropterts ovata, Kidston, Trans. Roy. Soc. Edin., vol. xxxiii. p. 359, pl. xxii. fig. 1. Upper Coal Measures. Horizon and Locality.—About 300 yards above Bassy Mine Ironstone. From Rail- way Cutting, Florence Colliery, Longton. Neuropteris plicata, Sternb. Neuropteris plicata, Sternb., Vers., i. fasc. 4, p. xvi; Vers., ii. p. 74, pl. xix. figs. 1 and 3. Neuropteris plicata, Kidston, Trans. Roy. Soc. Edin., vol. xxxv. part v., p. 313, pl., figs. 1 and la. Middle Coal Measures. Horizon and Locality.—Great Row Coal Rock. Longton Hall Colliery, Longton. Neuropteris Scheuchzeri, Hoftm. Neuropteris Scheuchzeri, Hoftm., Keferstein’s Teutchland geognos.-geol. dargestellt, vol. iv. p. 156, pl. 1.0, figs. 1-4. Neuropteris Scheuchzeri, Zeiller, Flore foss. d. bassin howl. d. Valenciennes, p. 251, pl. xli. figs. 1-3. Neuropteris Scheuchzeri, Zeiller, Flore houil. d. Asturies, p. 10 (Mém. Soc. Géol. du Nord., 1882). Neuropteris Scheuchzeri, Kidston, Trans. Roy, Soc. Edin., vol. xxxiii. p. 356, pl. xxiii. figs. 1, 2. Neuropteris cordata, L. and H. (not Brongt.), Foss. Flora, vol. i. pl. xli. Neuropteris hirsuta, Lesqx., in Roger's Geo. of Pennsyl., p. 857, pls. iii. fig. 6; iv. figs. 1-16, 1858. (Syn. in part.) Middle Coal Measures. Horizon and Locality.—Great Row Coal Rock. Longton. ;, H Knowles Ironstone. Stafford Iron and Coal Company, Fenton. Neuropteris gigantea, Sternb. Neuropteris gigantea, Sternb., Vers., i. fase. 4, p. xvi. Neuropteris gigantea, Brongt., Hist. d. végét. foss., p. 240, pl. lxix. Osmunda gigantea, Sternb., Vers., i. fasc. 2, pp. 33 and 36, pl. xxii. Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Neweastle-under-Lyme. » a Peacock Marl. Berry Hill, Stoke-upon-Trent. 76 MR ROBERT KIDSTON ON THE Horizon and Locality.—Great Row Coal Rock. Fenton and Longton. * af Shale below Little Cannel Row Coal. Clanway Colliery, Tunstall. Lower Coal Measures (Upper Series). Horizon and Locality.—Bowling Alley Rock. Weston Coyney Colliery, Longton. x bs Holly Lane Coal. Bucknall. 35 2 yards below Hard Mine Coal. Weston Coyney Colliery, near Longton. Dictyopteris, Gutbier. Dictyopteris Munsteri, Eichwald, sp. Diectyopteris Miinsteri, Zeiller, Flore foss. d. bassin houil. d. Valenciennes, p. 294, pl. xlix. figs. 1-5. Dictyopteris Minsteri, Kidston, Trans. Roy. Soc. Edin., vol. xxxiii. p. 361, pl. xxi. fig. 6. Odontopteris Miinsteri, Kichwald, Die Urwelt Russlands, heft i. p. 87, pl. iii. fig. 2, 1840. © Dictyopteris Hoffmanni, Roemer, Palwontographica, vol. ix. p. 29, pl. vii. fig. 3, 1862. Middle Coal Measures. Horizon and Locality.—Peacock Marl. Marl Pit, Fenton Low. * = Knowles Rock. Stafford Iron and Coal Company, Fenton. Dictyopteris obliqua, Bunbury. (Plate, fig. 3 and 3a.) Dictyopteris obliqua, Bunbury, Quart. Journ. Geol. Soc., vol. iii. p. 427, pl. xxi. fig. 2, 1847. Dictyopteris obliqua, Lesqx., Coal Flora, vol. i. p. 146, pl. xxiii. figs. 4-6. Dictyopteris sub-Brongniartt, Grand’ Eury, Flore carb. d. Départ. de la Loire, p. 379, 1877. Dictyopteris sub-Brongniarti, Zeiller, Expl. carte géol. d. France, vol, iv. p. 55, pl. elxv. figs. 1-2, Dictyopteris sub-Brongniartt, Zeiller, Flore foss d. bassin howil. d. Valenciennes, p. 290, pl. xlix. fig. 6 ; pl. 1. figs. 1-2. Dictyopteris sub-Brongniarti, Renault, Cowrs d. botan. foss. Troisieme Année, 1883, p. 176, pl. xxx. figs. 3-4. Dictyopteris Brongniarti, Boulay (not Gutbier), Terr. houil. du nord de la France, pp. 35 and 74, pl. iv. fig. 2. Dictyopteris Brongniarti, Achepohl (not Gutbier), Niederrh. Westfal. Steinkohl, p. 71, pl. xxi. fig. 9. Dictyopteris Brongniarti, Kidston, Catal. Palcoz. Plants, p. 103 (Exel. ref. D. Brongniarti). Remarks.—Dictyopteris obliqua, Bunbury, occurs sparingly in the Potteries Coal Field, and the only specimens I have seen are isolated pinnules. The pinnules in this species are articulated to the rachis, and appear to have fallen off very easily, as in Neu- ropteris gigantea, with which, in the form of its pinnules, Dictyopteris obliqua is almost identical. It may therefore be more common than at present suspected, for unless the netted nervation be observed, by which Dictyopteris is distinguished at first sight from Neuropteris, it might be very easily passed over for Newropteris gigantea. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. (ie For some time I have suspected the specific identity of Dictyopteris obliqua, Bun- bury, and Dictyopteris sub-Brongmarti, Grand’ Eury, M. Zerier has kindly com- municated to me specimens of the latter species from Lens and Bully-Grenay, from which I identified the Staffordshire fern as Dictyopteris sub-Brongniarti, and under this name included it in the list given by Mr Warp in his “North Staffordshire Coal Fields.” * More recently I have received from Mr Lacok specimens of Dictyopteris obliqua, Bunbury, from near Pittston, Pa. It is true that this is not the original locality for Buneury’s species, but careful examination of Mr Lacor’s specimens with BunBury’s figures and description has convinced me that the Pittsburg fossils are identical with Bunsury’s Dictyopteris obliqua. On the other hand, I have compared the French specimens of Dictyopteris sub-Brongmarti, Grand’ Eury, with the American examples, and cannot discover any point by which they can be separated either in the form of the pinnule or their nervation. I am therefore led to the conclusion that Dictyopteris sub- Brongmarti, Grand’ Eury, must be regarded as a synonym for Dictyopteris obliqua, Bunbury. At figure 3 I give a drawing of a small pinnule of a specimen from the Great Row Rock, Longton. In form the pinnules of Dictyopteris obliqua are sub-falcate or straight, sometimes gradually narrowing, as in that figured, or oblong with more obtuse points, their form varying somewhat according to their position on the frond. A drawing pre- pared with the camera lucida, enlarged eight times, is given at fig. 3a, to show the nervation of the species. Dictyopteris obliqua is distinguished from Dictyopteris Brongniarti, Gutbier,t by its smaller size and somewhat coarser nervation, which also bends out more directly to the margin of the pinnule. Middle Coal Measures. Horizon and Locality.—Great Row Rock. Longton. 95 Chalky Mine Ironstone. Fenton. Odontopteris, Bronet. Odontopteris, sp. Upper Coal Measures. Horizon and Locality.—About 300 yards above Bassey Mine Ironstone. Railway Cutting, Florence Colliery, Longton. Middle Coal Measures. Horizon (?) and Locality.—Fenton. * “The Geological Features of the North Staffordshire Coal Fields, their Organic Remains,” &c., Trans. North Stafford. Institute of Mining and Mechanical Engineers, vol. x. 1890. t+ Abdriicke u. Vers. d. Zwick. Schwarzk., p. 63, pl. x1. figs. 7, 9, 10, 1835. MR ROBERT KIDSTON ON THE Mariopteris, Zeiller. Mariopteris muricata, Schloth, sp. Mariopteris muricata, Zeiller, Bull. Soc. Géol. d. France, 3° sér. vol. vii. p. 92. Mariopteris muricata, Zeiller, Flore foss. d. bassin. houil. d. Valenciennes, p. 173, pls. xx. figs. 2,3; xxi. xxii. fig. 2. Pecopteris muricata, Brongt. Hist. d. végét. foss., p. 352, pls. xev. figs. 3, 4; xevii. Filicites muricatus, Schloth., Flora d. Vorwelt., pp. 54, 55, pl. xii. figs. 21 and 23. Upper Coal Measures. ’ Horizon and Locality.—Twelve yards above Spirorbis Limestone. Fenton Low. Middle Coal Measures. Horizon and Locality.—Longton. Generally distributed throughout the series. Lower Coal Measures (Upper Series). Horizon and Locality.—Roof of Holly Lane Coal. Bucknall. var. nervosa, Brongt. (sp.). Mariopteris nervosa, Zeiller, Bull. Soc. Géol. d. France, 3° séx., vol. vii. p. 92, pl. v. Mariopteris muricata forma nervosa. Flore foss. d. bassin houil. d. Valenciennes, pls. xx. fig. 1; xxii. figs. LS 25) xxi. Pecopteris nervosa, Brongt., Hist. d. végét. foss., p. 297, pls. xciv.; xev. figs. 1, 2. Middle Coal Measures. Horizon and Locality.—Great Row Coal (roof), Longton. Great Row Coal Rock. Stafford Iron and Coal Company, Fenton. Bay Coal, Longton. Knowles Ironstone. Stafford Iron and Coal Company, Fenton and Longton. U Shelton Colliery, near Hanley. Lower Coal Measures (Upper Series). Horizon and Locality :—Bowling Alley Rock, Adderley Green, near Longton. Two yards below Hard Mine Coal. Weston Coyney Colliery, near Longton. 9) 29 Pecopteris, Brongt. Pecopteris arborescens, Schloth., sp. Pecopteris arborescens, Brongt., Hist. d. végét. foss., p. 310, pls. cil. ciii. figs. 2, 3. Filicites arborescens, Schloth., Flora d. Vorwelt., p. 41, pl. viii. figs. 13, 14. Pecopteris cyathea, Brongt., Hist. d. végét. foss., p. 307, pl. ci. figs. 1-3 (Exel., tig. 4). Lilicites cyatheus, Schloth., Flora d. Vorwelt., p. 38, pl. vii. fig. 11. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 79 Upper Coal Measures. Horizon and Locality.—About 300 yards above horizon of Bassy Mine Ironstone. Railway Cutting, Florence Colliery, Longton. forma cyathea. Horizon and Locality.—About 300 yards above horizon of Bassy Mine Ironstone. Bradwell Wood, Longport. Pecopteris Miltoni, Artis, sp. Filicites Miltoni, Artis., Antedil. Phyt., pl. xiv. Pecopteris Miltoni, Germar., Vers. v. Wettin. u. Lobejun., p. 63; pl. xxvil. (Hacl. syn. P. polymorpha, and P. Milton, Brongt. (not Artis). Pecopteris Miltoni, Kidston, Trans. Roy. Soc. Edin., vol. xxxili. p. 374. Pecopteris abbreviata, Brongt., Hist. d. végét. foss., p. 337, pl. exv. figs. 1-4. Pecopteris abbreviata, Zeiller, Notes sur la flore howil, d. Asturies, p. 12 (Mém. Soc. Géol. du Nord., 1882). Pecopteris abbreviata, Zeiller, Flore foss. d. bassin. houil. d. Valenciennes, p. 186, pl. xxiv. fig. 1-4. Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. - - Shales over Peacock Marl. Longton. Pecopteris caudata, L. and H., sp. Sphenopteris caudata, L. and H. Fossil Flora, vol. 1. pl. xlviii. Remarks.—I have received from Mr Ward a specimen of this fern from below the New Mine Coal, Adderley Green, which agrees entirely with the Sphenopteris caudata, L. and H., but think it probable that this latter species should be referred to Pecopteris plumosa, Artis, sp. As I am at present collecting specimens of this and some close allies, with the object of submitting them to a careful examination, I at present merely record the Staffordshire plant under the name originally given it by Lindley and Hutton. Lower Coal Measures (Lower Thick Series). Horizon and Locality.—Below the New Mine Coal.* Adderley Green. Alethopteris, Sternb. Alethopteris aquilina, Schloth., sp. Alethopteris aquilina, Schimper, Traité d. palednt. végét., vol. i. p. 556, pl. xxx. figs. 8-10. Pecopteris aquilina, Brongt., Hist. d. végét. foss., p. 284, pl. xe. Filicites aquilinus, Schloth., Flora d. Vorwelt., p. 38, pl. iv. fig. 7; pl. v. fig. 8. * This is the uppermost seam in the Lower Coal Measures, see note, ante, p. 73. VOL. XXXVI. PART I. (NO. 5). P 80 MR ROBERT KIDSTON ON THE Upper Coal Measures. Horizon and Locality.—About 300 yards above Bassy Mine Ironstone. Railway Cutting, Florence Colliery, Longton, and Quarry, Bradwell Wood, Longport. >> 9? Middle Coal Measures. Horizon (*) and Locality.—Tunstall. Alethopteris lonchitica, Schloth., sp. Alethopteris lonchitica, Schimper, T'raité d. palednt. végét., vol. i. p. 554. Pecopteris lonchitica, Brongt., Hist. d. végét. foss., p. 275, pls. Ixxxiv. and exxviii. Filicites lonchiticus, Schloth., Mora d. Vorwelt., p. 55, pl. xi. fig. 22. Horizon and Locality.—About 300 yards above Bassy Mine Ironstone. Quarry, Bradwell Wood, Longport. Middle Coal Measures. Horizon and Locality.—Roof of Great Row Coal. Longton. 3 a Knowles Ironstone. Longton and Fenton. Lower Coal Measures (Upper Series). Horizon and Locality.—Ten foot Coal. Chesterton, Newcastle-under-Lyme. Bowling Alley Rock. Adderley Green, near Longton. Holly Lane Coal. Bucknall. 99 bP) 3? 2? Alethopteris decurrens, Artis, sp. Alethopteris decurrens, Zeiller, Flore foss. d. bassin, howil. d. Valenciennes, p. 221, pls. xxxiv. figs. 2, 3 ; xxxv. fig. 1; xxxvi. figs. 3, 4. Filicites decurrens, Artis., Antedil. Phyt., p. 21, pl. xxi. Pecopteris heterophylla, L. and H., Fossil Flora, vol. i. pl. xxxviii. Pecopteris Mantelli, Brongt., Hist. d. végét. foss., p. 278, pl. Ixxxiii. figs. 3, 4. Middle Coal Measures. Horizon and Locality—Knowles Ironstone. Stafford Iron and Coal Company, Fenton. Lower Coal Measures (Upper Series). Horizwn and Locality.—Bowling Alley Rock. Adderley Green, near Longton. : FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 81 Rhacophyllum, Schimper. Rhacophyllum crispum, Gulbier, sp. (?). (Plate, fig. 1.) Fucoides crispus, Gulbier, Vers d. Zwick. Schwarzk., p. 13, pl. i. fig. 11.; pl. vi. fig. 18. Schizopteris Lactuca, Germar., Vers. v. Wettin. u. Lébejun, p. 45, pls. xviii., xix. Rhacophyllum Lactuca, Schimper, Traité d. palednt. végét., vol. i. p. 684, pls. xlvi. fig. 1; xlvii. figs. 1, 2; vol, iii. p. 524. Lower Coal Measures (Upper Series). Horizon and Locality.—Bowling Alley Rock. Adderley Green, near Longton. Lycopodiacee. Lepidodendron, Sternb. Lepidodendron ophiurus, Bronet. Sagenaria ophiurus, Brongt., Class, d. végét. foss., p. 27, pl. iv. fig. 1, a,b (Mém. Muséum hist. nat. vol. viii.), 1822. Lepidodendron ophiurus, Brongt., Prod., p. 85. Lepidodendron Sternbergi (Kidston, not Brongt.?) in Ward. Geol. of the North Staffordshire Coal Fields, p. Lis: Middle Coal Measures. Horizon and Locality.—Generally distributed throughout the series. Longton. About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. 99 3) a - Peacock Marl. Berryhill, Stoke-upon-Trent. i ¥ Great Row Coal Rock. Stafford Iron and Coal Company, Fenton. bi 5 Chalky Mine Ironstone. Fenton. Lepidodendron obovatum, Sternb. Lepidodendron obovatum, Sternb., Vers., i., fase. i. pp. 20 and 23 ; pl. vi. fig. 1; pl. viii. fig. la ; fase. iv. p. 10. Lepidodendron obovatum, Zeiller, Flore foss. d. bassin houil. d. Valenciennes, p. 442, pl. Ixvi. figs. 1-8. Middle Coal Measures. Horizon and Locality.—Generally distributed throughout the series. Longton. ” (?) ” Marl Pit, Fenton. Lower Coal Measures (Upper Series). Horizon and Locality—Bowling Alley Rock. Weston Coyney Colliery, near Longton. MR ROBERT KIDSTON ON THE Lepidodendron aculeatum, Sternb. Lepidodendron aculeatum, Sternb., Vers., i. fase. i. pp. 20 and 23, pl. vi. fig. 2; pl. viii. fig. 10; fase. ii. p. 25; pl. xiv. figs. 1-4. Lepidodendron aculeatum, Zeiller, Flore foss. du bassin houil. d. Valenciennes, p. 442, pl. xv. figs. 1-7. Middle Coal Measures. Horizon and Locality.—Generally distributed throughout the series. Longton. Great Row Coal Rock. Stafford Iron and Coal Company, Fenton. 2? 9 Lower Coal Measures (Upper Series). Horizon and Locality.—12 yards below New Mine Coal. Adderley Green Coiliery, near Longton. Lepidodendron serpentigerum, Konig. (?) Lepidodendron serpentigerum, Konig., [cones fossilium sectiles, pl. xvi. fig. 195. Middle Coal Measures. Horizon and Locality.—Knowles’ Ironstone. Fenton. Lepidodendron rimosum, Sternb. Lepidodendron rimosum, Sternb., Vers. i. fasc. i. pp. 21 and 23, pl. x. fig. 1, fase. iv. p. 11. Sagenaria rimosa, Geinitz (in part), Vers. d. Steinkf. in Sachsen., p. 34, pl. iii. figs. 13-15; pl. iv. fig. 1. Lower Coal Measures (Upper Series), Horizon (?) and Locality.—Mier Hay Colliery. Longton. Lepidophloios, Sternb. Lepidophloios, sp. Remarks.—This genus is only represented by specimens of Halonia tortuosa, L. and H. (Fossil Flora, vol. ii. pl. Ixxxv.), and Haloma regularis, L. and H. (loc. cat., vol. iii. pl. eexxvill.), which are the cone-bearing branches of Lepidophloios. Owing to the absence of the leaf-scars on the examples examined, the species of Lepidophlovos, to which the Haloma belonged, could not be determined. Lower Coal Measures (Upper Series). Horizon and Locality.—Littie Mine Ironstone. Longton. Lepidophyllum, Brongt. Lepidophyllum lanceolatum, L. and H. Lepidophyllum lanceolatum, L. and H., Fossil Flora, vol. i. pl. vii. figs. 3, 4. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 83 Middle Coal Measures. Horizon and Locality—About horizon of Bassy Mine Ironstone. Railway Tunnel, Neweastle-under-Lyme. — Lower Coal Measures (Upper Series). Horvzon and Locality.—Two yards below Hard Mine Coal. Weston Coney Colliery, near Longton. Lepidophyllum triangulare, Zeiller. Lepidophyllum triangulare, Zeiller, Flore foss. d. bassin houtl. de Valenciennes, p. 508, pl. Ixxvii. figs. 4-6, 1886. Remarks.—This species is very closely related to Lepidostrobus anthemis, Konig. sp., if it is really specifically distinct.* Middle Coal Measures. Horizon and Locality.—Peacock Marl, Berry Hill, Stoke-upon-Trent. Lepidostrobus, Bronet. Lepidostrobus variabilis, L. and H. Lepidostrobus variabilis, L. and H., Fossil Flora, vol, i. pls. x. xi. Upper Coal Measures. Horizon and Locality.__About 300 yards above Bassy Mine Ironstone. Bradwell, Wood, Longport. Middle Coal Measures. Horizon and Locality.—Generally distributed throughout the series. Longton. . a: About horizon of Bassy Mine Ironstone. Railway Tunnel, Neweastle-under-Lyme. Sigillaria, Brongniart. Sigillaria discophora, Kénig. sp. Lepidodendron discophorum, Konig., Icones foss. sectiles, pl. xvi. fig. 194. Ulodendron magus, L. and H., Fossil Flora, vol. i. pl. v. (Excl. ref.). Ulodendron minus, L. and H., ibid., pl. vi. (Excl. ref.). Sigillaria discophora, Kidston, Ann. and Mag. Nat. Hist., ser. vi., vol. iv. p. 61, pl. iv. figs. 1, la; and Proc. Roy. Phys. Soc., vol. x. p. 90, pl. iv. fig. 1, la. * Conophoroides anthernis, Kénig., Icones foss. sectiles, pl. xvi. fig. 200; copied by Brongniart.—Lepidostrobus Hist. d. végét. foss., vol. ii. pl. xxiii. fig. 6, and named by Schimper Lepidostrobus radians. Traité d. palednt. véeget, vol. ii. p. 63. 84 MR ROBERT KIDSTON ON THE Middle Coal Measures. Horizon and Locality.—Great Row Rock. Great Fenton Colliery. Knowles Ironstone. Longton and Stafford Iron and Coal Company, Fenton. » (2) rs Pinnox Colliery. Tunstall. 399 2) Lower Coal Measures (Upper Series). Horizon and Locality.—Little Mine Ironstone. Longton. 12 yards below New Mine Coal. Adderley Green Colliery near Longton. 3? 2? Sigillaria Brardii, Brongt. Clathraria Brardii, Brongt., Class. d. végdt. foss., p. 22, pl. i. fig. 5. Sigillaria Brardu, Brongt., Prodrome, p. 65. Sigillaria Brardii, Brongt., Hist. d. végét. foss., p. 430, pl. elviii. fig. 4. Note.—I hope in another communication to figure and describe two specimens of S. Brardii from this coal field, along with some other Sigillarix from various localities so defer making any remarks on this species at present. Upper Coal Measures. Horizon and Locality.—About 300 yards above Bassy Mine Ironstone. Railway Cutting, Florence. Middle Coal Measures. Horizon and Locality.—Shales above Peacock Coal. Cope’s Marl Pit, Longton. Sigillaria tessellata, Brongt. Sigillaria tessellata, Brongt., Hist. d. végét. foss., p. 436, pl. elvi. fig. 1; pl. elxii. figs. 1-4, Sigillaria tessellata, Geinitz, Vers. d. Steinkf. in Sachsen., p. 44, pl. v. figs. 6-8. Sigillaria tessellata, Zeiller, Flore foss. d. Bassin houil. d. Valenciennes, p. 561, pls. Ixxxv. figs. 1-9; Ixxxvi. figs. 1-6. Middle Coal Measures. Horizon and Locality.—Great Row Coal Rock. Stafford Iron and Coal Company, Fenton. Lower Coal Measures (Upper Series). Horizon and Locality.—Sandstone below New Mine Coal. Longton. 12 yards below New Mine Coal. Adderley Green, near Longton. 2? 99 FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 85 Sigillaria elegans, (Sternb.) Brongt. Sigillaria elegans, Hist. d. végét. foss., p. 438, pl. exlvi. fig. 1; pl. elv. ; pl. clviii. fig. 1. Sigillaria elegans, Zeiller, Flore foss. d. bassin houil. d. Valenciennes, p. 582, pl. Ixxxvii. figs. 1-4. Middle Coal Measures. Horizon (?) and Locality.—Apedale, Newcastle-under-Lyme. Remarks.—Wetss describes and figures a number of varieties of Sigillaria elegans in his “Sigillarien der Preussischen Steinkohlengebiete, I. Die Gruppe der Favularien,” Sigillaria scutellata, Bronet. | pe 32.” Sigillaria scutellata, Brongt., Class. d. végét. foss., p. 22, pl. i. fig. 4. Sigillaria scutellata, Brongt., Hist. d. végét. foss., p. 455, pl. iv. figs. 2, 3; pl. Ixiil. fig. 3. Sigillaria scutellata, Zeiller, Flore foss. d. bassin howl. Valenciennes, pl. lxxxii. figs. 1-6, 9, 1886; p. 533, 1888. Sigillaria notata, Brongt., Hist. d. végét. foss., p. 449, pl. cliii. fig. 1. Middle Coal Measures. Horvzon and Locality.—Peacock Marl. Fenton. Sigillaria rugosa, Brongt. Sigillaria rugosa, Brongt., Hist. d. végét. foss., p. 476, pl. exliv. fig. 2. Sigillaria rugosa, Zeiller, Flore foss. d. bassin. howl. d. Valenciennes, p. 551, pl. Ixxx. figs. 1-5. Sigillaria rimosa, Sauveur, Végét. foss. de la Belgique, pl. lviii. fig. 1. Lower Coal Measures (Upper Series). Horizon and Locality.—Shale over Yard Coal. Fenton. Sigillaria ovata, Sauveur. Sigillaria ovata, Sauveur, Végét. foss. de la Belgique, pl. li. fig. 2. Sigillaria ovata, Zeiller, Flore foss. d. bassin howil d. Valenciennes, p. 522, pl. Ixxix. figs. (3?) 4-7. Middle Coal Measures. Horizon (2) and Locality.—Fenton and Longton. Sigillaria alternans, Sternb. sp. Sigillaria alternans, L. and H., Fossil Flora, vol. i. pl. lvi. Syringodendron alternans, Sternb., Vers., i. fase. iv. p. 24, pl. lviii. fig. 2. * Koniglich Preussischen geologischen Landesanstalt, Berlin, 1887. 86 FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. Middle Coal Measures. Horizon (?) and Locality.—Fenton. Remarks.—The fossil placed here only shows a decorticated condition, the characters of which may be common to several species of Sigillaria. Sigillaria camptoleenia, Wood. Sigillaria camptolenia, Wood, Trans. Amer. Phil. Soc., vol. xiii. p. 342, pl. ix. fig, 3, 1866. Sigillaria camptolenia, Zeiller, Flore Foss. d. bassin houil. d. Valenciennes, p. 588, pl. lxxxviii. figs. 4-6, 1886. Asolanus camptolenia, Wood, Proc. Acad, Nat. Sc. Phil., vol. xii. p. 238, 1860. Sigillaria monostigma, Lesqx., Rept. Geol. Survey of Illin., vol. ii. p. 449, pl. xlii. figs. 1-5, 1866. Sigillaria monostigma, Lesqx., Coal Flora of Pennsyl., vol. ii. p. 468, pl. lxxxiii, figs. 3-6, 1880; vol. iii. p. 793, 1884. Sigillaria rimosa, Goldenberg, Flora Sarcepont. foss., part i., pp. 22 and 56, pl. vi. fig. 1, 1857. Sigillaria rimosa, Roehl, Paleont., xviii. p. 93, pl. xxx. fig. 5, 1869. Lepidodendron barbatum, Romer, Palcont., vol. ix. p. 40, pl. viii. fig. 12, 1862. Pseudosigillaria monostigma, Grand Eury, Plore Carb. du Départ. de la Loire, p. 144, 1877. Middle Coal Measures. Horizon and Locality.—Shale overlying Ash Ironstone. Fenton. Lycopod Macrospores. Very little attention has been paid to the examination of the shales and under- clays in the Potteries Coal Field for spores. In only three localities have collec- tions been made with this object, and from all of them several of the gatherings have yielded numerous and well-preserved macrospores. The finer material has not yet been searched for the much minuter spores, which are usually found associated with the macrospores.”* CoLLEcTIONS FRoM WeTLEY Moor, Lowrer Coat Mzasures (Lower Serins). Locality 53t.—Shales cropping out on banks of small stream, near Ash Hall. Triletes IX. Triletes XII. (?) Locality 54.—Shales near Brook House Lane. Triletes VIII. Triletes IX. Triletes XII. The specimens at these two localities were numerous and well preserved. COLLECTIONS FROM THE MippLE Coat MEASURES. Locality 52.—Kastwood Marl Pit, Hanley. * The shales have been carefully prepared for me by Mr JaAmus BrnnIg, in the manner recommended in our paper in the Proc. Roy. Phys. Soc. Edin., vol. ix. p. 92, to whom for his assistance I am again much indebted. + The numbers refer to the working list of localities from which collections have been made at various times. The contents of localities 1 to 37 have been already published. See Proc. Roy. Phys. Soc., vol. ix. pp. 93-102. \) MR ROBERT KIDSTON ON THE (o @) Fie. 1. Specimen No, 39 in list. Specimen No. 20 in list. Main or 90 yards Fault. North. v South. \ \ \ \ \\\ \ \\ \\ \ \ } Bassy is f \\ NN ine Ironstone and Dip 14°. M Coal, ———— ——SSH_! \ \ Howson’s Marl. \ \ \ \ \ \\ o S| 3 7 2 3 a mM Lo] =| 3 az} os cS i 9 c ——$— — SS SS SS —= (SSS —— = = == \ \ é 3” Coal with standing trees. \ \\ \\K \ i ANN unknown. d \ ni Soe Gutter or Fenton Low Coal. 38” thick. ERAN \ Dip 15°. "2 \ \\ \ \ \ \ Mt \ \ \ \ \\ \ \\ \ \ \ \\ \\\ \\\\ Wt \ \\ \\ i \ \ \ \\ \ \ \ \ \ \ \\\ \\\ \ : \ \ \ \ ' \\ \\ Shales and Marl. Grey and Red Marl. \ \\ ANN Ay \ \ \ N\ \\ \ WN \ \\ WN AWN \ \ \ Wi 12’ Coal. Fia. 3. Section of Marls, &c., exposed in Eastwood Brick and Marl Works Hanley, 1890. ? is on the south side. Height of section about 80 feet. The downthrow of the Fault y east and west. ar] easures is ne Dip of m FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 89 Through the kindness and assistance of Mr Wittiam Hampton, careful collections were made of the shales and underclays exposed at the time of my visit, and of those which proved most rich in organic remains, a second collection was made by Mr Hamp- Ton. ‘Three new forms of macrospores have been discovered in this Marl Pit which are described below. Associated with the macrospores, in one case especially, were numerous crustacean remains as well as fragments of carbonised stems and other plant débris. _ As this Marl Pit is interesting, not only on account of the rich gatherings of macro- spores which the shales and wnderclays have yielded, but also on account of the standing trees which occur on the “3” coal” on the southern side of the fault, I give a section of the strata, which has kindly been prepared for me by Mr Hampton, and on which has been indicated in letters the position from which the better “ gatherings” were collected. The general strike of the strata is nearly east and west. Owing to a fall on the north side of the fault, the strata could not be conveniently measured at the time the section was prepared. Above the “3” coal,” and standing on it at right angles to its surface, many stems of trees, as already mentioned, have been met with while working the marls. Mr Warp gives the measurements and descriptions of thirteen specimens found prior to 1880.* It is a curious circumstance that on none of the trees discovered are the roots preserved, the portions of the stems now existing being apparently only a few feet of the lower portion of the trunks ; the roots having apparently decayed before mineralisation took place. The following list, which includes those described by Mr Warp (Nos. 1-18), supplied “to me by Mr Hampton, contains a complete record, as far as is known, of all the standing trees that have been found in the Eastwood Marl Pit up to the present time. NoTES ON SOME OF THE TREES. No. 17. The bottom of the stem had the appearance as of thickening out to form the roots. No. 19. This is the only specimen that was found lying horizontally. The tree had been taken away with the marl, having undergone little induration during fossilization. The impression left in the marl by which it had been surrounded was very perfect, and pieces of carbon which had evidently been on the outside of the stem were still adhering to.the impression. No. 20. The general appearance of the bottom part of the trunk for the height of 4 feet from the base was as if it had been subject to great pressure before having been fossilized. It was of very irregular shape, but the upper 4 feet were perfectly round and had been partially pushed off the bottom portion as it was overhanging it at least 12 inches. Woodcut, fig. 1. * “Notes on some Fossil Trees in a Marl Pit at Joiner’s Square, near Hanley,” Report North Staffordshire Nat. Field Club for 1880. With a Plate. 90 MR ROBERT KIDSTON ON THE Fossil Trees found in Eastwood Marl Works, Hanley, Staffordshire. Date. No. Height. Feet. Inches. 1 6 2 4 3 5 4 1 5 1 6 8 7 4 8 4 9 10 11 12 13 14 15 1882 May 16 18 May 12 17 - 18 5 » 19 20 8 May 26 21 ) 22 8 23 8 24 25 7 26 7 27 4 28 12 29 9 30 11 31 8 32 11 33 6 34 9 35 36 10 37 9 38 10 39 4 1883 Dec. 20 40 6 1884 Oct. 21 41 6 1885 May 19 | 42 9 it 43 6 44 10 NADrYw @e oo aocmoo°oo coooooocoeo i=) ao oo AGHODLS oom ao Diameter at Bottom. Feet. Inches. bo bo bo bk 2 PN — bo bw i>) or) we a | 6 Diameter at Top. Feet. Inches. Wwh wo bw wb bo bo O bo — bo Cre bo 6 F Ef ao bo =) coos ooownoodo oo lo oe Le) ao aon cad So AaAwvonnwoe or REMARKS. No measurements taken. 7 ft. 3 in. in circumference. In the interior of this there was a branch-like form imbedded which measured 3 ft. by 2 ft. 3 in. Horizontal; about 2 ft. in diameter. Only specimen found in this position. 2 branches (?) were found in this of 24 in. and 14 in. diameter. Specimen broken by fall before measure- ments were taken. In this were found branch-like forms which exhibited woody structure. This example had a projection as if a branch had grown from it. Not measured. There was a very deep indentation on this stem about 3 ft. from top. The diameter of this stem could not be measured, The diameter of this stem could not be measured. a FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 91 No. 21. The inside of this tree was full of fragments of carbonised wood, bound together into a conglomerate-like rock by the infilling marl. It also contained portions of two branches. No. 22. The top portion of this stem was overhanging about 8 inches, in a similar manner to that described as occurring in No. 20. No. 25. This specimen had a swelling on the trunk about 6 feet from the bottom, from which a branch may have been removed. No. 26. This specimen, owing to several transverse fractures and displacement of the segments, had a curious step-like appearance. On the tree being taken down, branches were found in it showing structure. No. 28. The upper 4 feet of this stem was pushed aside and overhung about 8 inches. On the specimen was a projection as if a branch had been broken off from that part. No. 33. This stem appeared as if it had been subject to great pressure, for in one place it was not more than 9 inches thick. No. 39. Several transverse fractures ran through the uppermost 2 feet of this speci- men, and the segments so formed had been thrust to one side and overhung in layers or segments about 2 inches thick. Woodcut, fig. 2.* The outer surface of the stems is usually converted into coal, and in no case have they shown the form of their leaf-scars, by which alone the generic nature of the stems could be determined ; we are therefore unable to say whether they belong to Sigillaria or Lepidodendron, or in part to both. The only markings observable on the stems are longitudinal striations. Gathering 52a.—Marl immediately underneath the Bassy Mine Ironstone and Coal. North side of fault. Triletes ue Gathering 52b.—Shale a short distance above unknown Coal (B on section) on north side of fault. Triletes TI. Gathering 52c.—Marl immediately above Coal “ B.” North side of fault. Triletes V. * The foregoing list and these particulars have been supplied by Mr Wu. Hampton. 92 MR ROBERT KIDSTON ON THE Gathering 52d.—Top of underclay of Coal “ B.” Triletes I. ” V. Gathering 52e.—Howson’s Marl, surrounding stems of standing trees. Triletes I. Pea Gathering 52f—Marl a short distance above “ Gutter or Fenton Low Coal.” Triletes I. 5 IGE, Gathering 529g.—Immediately below 527. Triletes TJ. 2 Vi: Gathering 52h.—Immediately above “ Gutter or Fenton Low Coal.” Triletes IL Fs TI. Gathering 527.—Top of underclay of “Gutter or Fenton Low Coal.” Triletes Vz. - VI. Owing to the amount of faulting in this district one cannot be quite certain as to the identity of the coal in the section named the “Gutter or Fenton Low Coal” with the coal of that name which occurs in other parts of the Coal Field, but if it is not that seam, it is one that occupies about the same horizon. Locality 51.—Mousecroft Marl Works, Hanley. This Marl Pit lies on the opposite side of the road from that occupied by the East- wood Marl Works and contains some of the same beds as those occurring in the Eastwood Works, but owing to the dip of the strata some beds on a higher horizon than those of the Eastwood Works occur in this opening. It is also worked by the Messrs Hampton, and Mr Wrii1am Hampron has favoured me with the following section of the strata at present exposed there :— FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 93 Feet. Inches. Surface Earth and Boulder ae about . : : : 6 0 Marl, about : 5 : 2 : 7 0 “ Peacock Coal,” © : : : : 2 uf Marl, 3 Fe : ' ; : 35 6 Howson’s Marl, . : ; : z ; 10 0 a Coal,” : ; ; : : 0 3 Marl and Shales, : : ‘ : : s aes IE “Gutter or Fenton Low Coal,” : : é 3 2 Grey and Red Marls, ; : : : : 20 0 90 5 The angle of dip is 15°. Although the “3” Coal” has yielded so many standing trees in the Eastwood Marl Works, none have been discovered in the Mousecroft Works. The only gathering made was from the top of the underclay of the “ Peacock Coal ”(?) which yielded the following forms :— ' Triletes II. (?) LE. Fee A. Crustacean and vegetable remains Description oF New MaAcrosporgs. Triletes XIX. Plate, figs. 9-11. x 30. Description.—Macrospore small, triangular with dentate margins. Outer surface ornamented with blunt mamillate spiny processes, varying in number from five to eight. On each lateral margin of the spore are usually three or four thickenings or blunt elongated elevations, which extend outwards and produce the dentate margins. Inner surface smooth with a strong triradiate ridge, which extends into the three angles of the spore ; border about + or 4 width of spore, undulate. Size.—1°45 mm. Middle Coal Measures. Horizon and Locality.—Kastwood Marl Works. Hanley. Triletes XX. Plate, figs. 5-8. x 30. Deseription.—Macrospore small, triangular, bordered with produced angular points and | convex sides. Outer surface granulated, and generally showing the circular body of the spore | surrounded by its triangular border. Inner surface.—Triradiate ridge strong, prominent, 94 MR ROBERT KIDSTON ON THE and extending into the produced angular points, central portion smooth, border faintly striated transversely. Size.—'90 mm. Middle Coal Measures. Horizon and Locality.—Kastwood Marl Works. Hanley. Triletes XXTI. Plate, fig. 4. x 30. Description.—Macrospore small, circular. Outer surface smooth. Inner surface smooth, triradiate ridge occupying about 3ths of surface, well defined, but not very strong ; extremities of arms of triradiate ridge connected by a semicircular line. Size.— 90 mm. Middle Coal Measures. Horizon and Locality.—Eastwood Marl Works. Hanley. ° Stigmaria, Brongt. Stigmaria ficoides, Sternb. sp. Stigmaria ficoides, Brongt., Class. d. végét. foss., pp. 9 and 28, pl. 1. fig. 7. a L. and H., Yossil Flora, vol. i. pls. xxxi.—vi. Varn Jicoides, Sternb., coe i. fasc. i. pp. 22 and 24, pl. xii. figs. 1-3. | Generally distributed. Upper Coal Measures. Horizon and Locality.—About 300 yards above Bassy Mine Ironstone. Railway Cutting, Florence Colliery, Longton, and Bradwell Wood, Longport. Middle Coal Measures. Horizon and Locahty.—Bassy Mine Ironstone. Florence Colliery, Longton. x 45 Great Row Coal Rock. Fenton. Lower Coal Measures (Upper Serves). Horizon and Locality.—12 yards below New Mine Coal. Adderley Green Colliery, near Longton. rH . 2 yards below Hard Mine Coal. Weston Coyney Colliery, Longton. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. 95 Cordaitee. Cordaites, Unger. Cordaites borassifolius, Sternb., sp. Cordaites borassifolius, Unger, Genera et Species, p. 277. Cordattes borassifolius, Zeiller, Flore foss d. bassin houil. d. Valenciennes, p. 625, pl. xcii. figs. 1-6. Flabellaria borassifolia, Sternb., Vers., 1. fasc. 2, pp. 27 and 32, pl. xviii; fase. 4, p. xxxiv. Pycnophyllum borassifolium, Schimper., Traité d. palednt. végét, vol. ii. p. 190. Middle Coal Measures. Horizon and Locality.—Grey Shale below Little Cannel Row Coal. Clanway Colliery, Tunstall. Lower Coal Measures (Upper Series). Horizon and Locality.—12 yards below New Mine Coal. Longton. sf 4 Bowling Alley Rock. Weston Coyney Colliery, Longton. Be () - Ravens Lane. Audley. Artisia, Sternb. ‘Artisia transversa, Artis., sp. Sternbergia transversa, Artis. Antedil. Phyt., p. 8, pl. viii. Middle Coal Measures. Horizon and Locality.—About horizon of Bassy Mine Ironstone. Railway Tunnel, Newcastle-under-Lyme. _ a Bassey Mine Ironstone. Stafford Iron and Coal Company, Fenton. Incertz sedis. Rhabdocarpus, Géppert and Berger. Rhabdocarpus sulcatus, Presl., sp. Plate, fig. 12. Carpolithes sulcatus, Sternb., Vers., ii. p. 208, pl. x. fig. 8. Rhabdocarpus multistriatus, Kidston (not Sternb.), Catal. Paleoz. Plants, p. 213. Description.—Seed oval, about 1 inch long and 4; inch broad, and bearing about 9 longitudinal ribs on the exposed surface. VOL. XXXVI. PART I. (NO. 5). R 96 MR ROBERT KIDSTON ON THE Remarks.—This seed I originally identified as a small specimen of ARhabdocarpus | multistriatus, Presl., sp., but now believe it to be the Rhabdocarpus sulcatus, Presl., sp. (which must not, however, be mistaken with the Carpolithes sulcat(a)us, L. and H., which is an essentially distinct species).* , I have figured, from the Radstock Coal Field, a seed which appears to be the true Rhabdocarpus multistriatus, Presl., sp. A comparison of the two figures will show wherein these species differ.t | Upper Coal Measures. | Horizon and Locality.—About 300 yards above the Bassey Mine Ironstone. Quarry, Bradwell Wood, Longport. Millstone Grit. The following have been noted :— From Kerridge, Macclesfield— Calamites Suckowti, Brongt. Calamites varians, Sternb. Mariopteris muricata, Schl., sp., forma nervosa. Lepidodendron aculeatum, Sternb. Lepidodendron obovatum, Sternb. Lepidophloios (Halonia regularis, L. and H.). Stigmaria ficoides, Sternb., sp. From shales that divide the 2nd and 8rd beds of grit, Stockton Brook— Alethopteris lonchitica, Schl. sp. Calamocladus, sp. Lepidodendron, sp. Lepidostrobus variabilis, L. and H. Yoredale Rocks. Felt House, Leek. Stigmaria ficoides, Sternb., sp. * Fossil Flora, vol. iii. pl. eexx. + Trans. Roy. Soc. Edin., vol. xxxili. pl. xxiii. fig. 4. FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. Table showing Vertical Distribution of Species Recorded. Coal Measures. 97 Page Millstone Grit. Middle. Lower. 68 | Calamitina (Calamites). 68 varians, Sternb., x x x 69 approximatus, Bet., x 69 | Lucalamites (Calamites). 69 TAMOSUS, : x 69 | Stylocalmites (Calamites). 69 Suckowt, Bgt., x x x 70 Cistii, Bet., x 70 | Pinnularia. 70 columnaris, Artis, sp., x x 71 | Calamocladus. Heal equisetiformis, Schl., sp., x x 71 | Sphenophyllum. 71 cuneifolium, Sternb., sp., x 72 cunetfolium, var., saxifrag., x x 72 | Sphenopteris. 72 obtusiloba, Bet., . x 72 grandifrons, Sauv., x 73 latifolia, Bet., f x 73 (?) spinulosa, Stur., sp., . x 73 spinosa, Gopp., xe 73 | Hremopteris. 73 artemisicefolia, Sternb., sp., x 74 | Newropteris. 74 heterophylla, Bet., ; x x 74 (?) tenuifolia, Schl., sp., . x 74 rarinervis, Bunbury, x 75 ovata, Hofim., 75 plicata, Sternb., . x 75 Scheuchzeri, Hoftm., x 75 gigantea, Sternb., x x 76 | Dictyopteris. 76 Miinsteri., Eich., x 76 obliqua, Bunbury, x 77 | Odontopteris. ae, Sp. x 78 | Mariopteris. 78 muricata, Schl., sp., x x 78 muricata, forma nervosa, x x x 78 | Pecopteris. 78 arborescens, Schl., sp., (iy arborescens, var. cyathea, 19 Miltoni, Artis, . ; x 79 caudata, L. and H., sp., . ai 79 | Alethopteris. 79 aquilina, Schl., sp., x 80 lonchitica, Schl., sp., x x x 80 decurrens, Artis, sp., x x 81 | Rhacophyllum. 81 (?) crispum, Gulb., sp., x 81 | Lepidodendron. 81 ophuirus, Bgt., x * See note, ante, p. 73. + See note, ante, p. 79. 98 FOSSIL FLORA OF THE STAFFORDSHIRE COAL FIELDS. Table showing Vertical Distribution of Species Recorded—continued. Coal Measures. Page. —__—_———_——_———_—_——————| Millstone Grit. Upper. Middle. Lower. Lepidodendron. 81 obovatum, Sternb., : : : x x x 82 aculeatum, Sternb., : ; ; x x x 82 (?) serpentigerum, Konig., : ‘ x 82 rémosum, Sternb., : : 3 x 82 | Lepidophloios. 82 Spy : x x 82 | Lepidophyllum. 82 lanceolatum, L. and H., . : ; * x 83 triangulare, Zeiller, ‘ : ‘ x 83 | Lepidostrobus. 83 variabilis, L. and H., . 5 : x x 83 | Sigillaria. 83 discophora, Konig., sp., . : : x x 84 Brardii, Brongt, : . : x x 84 tessellata, Bet., . ; : ; x x 85 elegans, Bgt., x 85 scutellata, Bgt., . ; : : x 85 rugosa, Bgt., 4 ; : ; x 85 ovata, Sauv., 3 : ; : x 85 alternans, Sternb., ; 2 2 x 86 camptolenia, Wood, : : ‘ x 86 | Macrospores, : 93 | Zriletes, 94 | Stigmaria. 94 Jicoides, Sternb., sp., ; : : x x x x 95 | Cordaites. 95 borassifolius, Sternb., sp., : ; x x 95 | Artisia. 95 transversa, Artis, sp., . : : x 95 | Rhabdocarpus. 95 sulcatus, Sternb., sp., —- : ; oa EXPLANATION OF PLATE. Fig. 1. Rhacophyllum crispum (1), Guthier, sp. Bowling Alley Rock, Adderley Green. Specimen in Stoke Museum. Fig. 2. Sphenopteris spinulosa, Stur, sp. (1). Middle Coal Measures, Hanley. : Fig. 3. Dictyopteris obliqua, Bunbury. Great Row Rock, Longton (Specimen No. 889). 3a, Nervation magnified 8 times. Fig. 4. Triletes XXI., Eastwood Marl Pit, Hanley, Inner surface x 30. Fig. 4a, Nat. Size. Figs. 5-8. Triletes XX., Eastwood Marl Pit, Hanley. Figs. 5, 6, Outer surface; 7, 8, Inner surface x 30: Fig. 5a, Nat. Size. Fig. 9-11. Triletes XIX., Eastwood Marl Pit, Hanley. Figs. 9, 10, Outer surface ; 11, Inner surface x 30. Fig. 9a, Nat. Size. Trams. Roy Soc. Edin’ Vol. XXXV. KipSTON ON FossitL PLANTS FROM THE POTTERIES COAL FIELD. 9. .= 30 10.* 30 Gdston, delt M*farlane & Erskine, Lith? Edin? ( 99 ) VI.—The Solar Spectrum at Medium and Low Altitudes. Observations of the Region between Wave-Lengths 6024 and 4861 A.U., made at Lord Crawford's Observa- tory, Dun Echt, during the Years 1887 to 1889. By Lupwic Brcxrr, Ph.D., Temporary Second Assistant-Astronomer, Royal Observatory, Edinburgh. (Read 21st July 1890.) 1. INTRODUCTION. At the end of 1886 a method occurred to me of rapidly recording the positions of the lines of the solar spectrum, which I thought might be used with advantage for deter- mining the faint “ Telluric dry-gas lines” near D, mentioned in Professor Prazzi SmyTH’s maps of The Visual Solar Spectrum in 1884.* The fundamental idea of the recording apparatus is that of magnifying by some mechanical means the motion of the grating, or prism, to such an extent that it can be recorded on a continuous fillet of paper. The viewing telescope being then firmly clamped, the exact positions of the grating can be pricked off on the strip of paper as the lines are successively brought to the fixed cross in the field of view. For the satisfactory use of the method two conditions suggest themselves as desirable. First, the punctures should not be less than a good-sized pin hole, and the interval between the closest lines, which the spectroscope is able to separate, should be represented on the paper strip by a space of several tenths of an inch. Now, in one of RowLanp’s oratings, the angular interval between the two positions of the grating which bring the components of the H, line to the same direction is but 1 second of arc in the second spectrum. To represent this small quantity by several tenths of an inch, we must either use an enormous radius or multiply the angular movement some thousands of times. By way of experiment, I geared together on a board five pairs of well-finished wheels and pinions, belonging to an excellent screw-cutting lathe, and observed under the highest magnifying power of a microscope the motion of the slowest wheel, when the fastest one was steadily turned by hand. ‘The results being very satisfactory, Professor CoPELAND, then Astronomer at Lord Crawrorp’s Observatory, suggested continuing these experiments with the head of the lathe mentioned. Soon afterwards Lord Crawrorp, whose atten- tion had been drawn to the promising state of the problem, kindly decided to erect a temporary station where the sun could be observed near the horizon. The place selected was the top of the Barmekin, a commanding eminence about a mile and a half west of | Dun Echt Observatory. Lord Crawrorp also sent from his own workshop a horizontal * Trans. Roy. Soc. Hdin., vol. xxxii. part 3. VOL. XXXVI. PART I. (NO. 6). 8 100 DR L. BECKER ON THE SOLAR SPECTRUM. lathe suitably altered to replace the one first used. Since it formed a part of the record- ing apparatus, it will be described later on. Dr CopELaNnD was kind enough to undertake all the trouble of arranging and superin- tending the erection of the observing station, where camping accommodation was also provided on account of the short interval between sunset and sunrise in summer. The first week Dr CopELAND camped out, but had to abandon his intention of partaking in the work, because the preparations for observing the solar eclipse of 1887 in Russia required all his attention. There was only one fine sunrise during that week, when the Rain-band was observed. But on account of the difference between our scales of inten- sity, it was necessary to exclude these observations. For the same reason I also struck out the first four sets of my observations which were taken in the first spectrum. The whole of the later readings were made on a uniform plan in the second spectrum. During the years 1887 and 1888, I spent all the nights on the hill from the begin- ning of June to the middle of August, by which time the lengthening nights made it practicable to sleep below. This change was by no means unwelcome, as the slight wooden hut became very damp as the season advanced. The observations, however, were continued up to the end of September. It would have been advantageous to have extended them over the winter, but a range of hills to the south of the Barmekin, which rise about 4° above the horizon, prevent all observations at the most desirable altitudes, while the prevailing mild winter temperature offered little change in the atmospheric conditions. It was therefore considered not worth while to alter the position of the heliostat, which was standing too near the hut for winter observations. The top of the Barmekin being 850 feet above the level of the sea, and about 14 miles from the coast, is a most suitable place for this kind of work. To the east many of the hills are below the horizontal plane, and the sea can be seen at various points; to the west there is a range of hills about 7 miles distant, rising at but a few points more than a fraction of a degree above the horizon. Further south, however, as we have said, the Deeside hills obstruct the view considerably. The original working plan of restricting our survey to the yellow part of the spectrum was soon abandoned, and we proposed observing as much of the solar spectrum near the horizon as possible. In 1887 the lines from A=6030 to b were surveyed, and in the following year the tract from b to # was added. Beyond Fit was found impracticable to proceed, as the finest condition of the atmosphere, such as very rarely occurs, is required to see the fainter lines when the sun approaches the horizon. There was already great difficulty experienced in observing the spectrum from c to /, and we had often to break off work at this part of the spectrum, because the wires of the viewing telescope were no longer discernible, although there was still sufficient light to study the less refrangible parts of the spectrum, ‘Three sets of observations were added in 1889 to settle some doubtful points. It may be mentioned that in the summer of 1889 the work was continued below A = 6030 towards the red end, but this section was not completed when I removed to Edinburgh DR L. BECKER ON THE SOLAR SPECTRUM. 101 at the beginning of September of that year. I hope, however, to have an opportunity of completing the survey next summer. The weather in 1887, though fine for low sun observations, was generally unfavour- able when the sun was at a considerable altitude. The Barmekin, too, being forty minutes’ walk from the Observatory, it was not, of course, possible to utilise every opportunity. In 1888, however, the remaining parts of the high sun observations were supplied. 2. SHorT SUMMARY. In this memoir we publish a catalogue of 3637 lines of the solar spectrum between the wave-lengths 6024 and 4861 Angstrim units, including 928 telluric lines. They are deduced from 26,107 observations, yielded by 47 sunsets and 32 sunrises, and from 8325 observations made when the sun was at medium altitudes. 28 lines excepted, the whole telluric spectrum is found by these observations to consist of three bands ranging from \ = 6020 to 5666 A.U., \=5530 to 5386 A.U., and A=5111 to 4981 A.U. They contain respectively 678, 106, and 116 lines. All the darker lines of these bands are due to water-vapour. For the fainter lines, however, the small variations in the amount of water-vapour in our atmosphere did not suffice to produce different intensities of blackness at the same altitude of the sun. Nevertheless, investigations on the behaviour of the lines, combined with the results obtained by former observers, led us to assume that the water-vapour lines of the first band are split into two distinct groups by a band of faint lines, which are probably due to oxygen. These two groups have been called the Rain-band and the 6-band. They were known to Sir Davip Brewster more than fifty years ago, and the description he gives of them virtually contains the assumption, that they are caused by the absorption of water-vapour. His drawing of telluric absorption bands gives also our other two bands under the designation ¢ and u, besides some other bands, which our observations do not attribute to atmospheric absorption. The ¢-band has never been mentioned by later observers to my knowledge. Of all the telluric bands within our zone, the Rain-band is the only one which has hitherto been resolved into lines. The names of Anasrrém, Kircunorr, Hormann, JANSSEN, Prazzi Smytu, and Cornu, mark a continuous progress in our knowledge of its structure. Whilst Anestrom’s drawing (1869) of this band contains only 19 lines, M. Cornv resolves it into 170 lines, by observations made with a RuTHERFURD grating in the years 1879 to 1882. Of the S-band there is an interesting account in AnasTROM’s Recherches sur le Spectre Solaire.* We have also to mention that in Professor Prazzi Smytu’s maps of The Visual Solar Spectrum in 1884,t the region where the 6-band begins is marked as Region of Low Sun-Band of Thin and closely-set Telluric Dry-Gas Lines. But as this note stands within the spectrum copied from Anasrrom’s map for * Upsal, 1868. + Trams. Roy. Soc. Hdin., vol. xxxii. part 3. 102 DR L. BECKER ON THE SOLAR SPECTRUM. reference, and AncstROm himself ascribes the §-band to the same medium which produces the A, B, and a-groups, it is not clear whether Professor Smytu arrived at this conclusion from his own observations, or from those of the Swedish physicist. However, since AnestrOm’s band extends much further to the refrangible side, we are inclined to think that the note represents Professor SMYTH’s opinion. The water-vapour band (.), between b and F, is described by AncsTROM as very strong in summer. It is the same which Mr Maxwett Hatt has utilised as a rain- indicator at Jamaica. 8. Tue INSTRUMENT. The optical part of the instrument is the same as has been used at Dun Echt Observa- tory for several years. The sun’s rays, after reflection by the heliostat, fall on an object- glass, of 6 inches aperture and 7 feet focal length, which forms an image of the sun on the slit attached to the collimator. By two endless cords the observer can correct the position of the heliostat without going outside the hut. ‘The slit is formed by two plates of platinum with both jaws opening simultaneously by the motion of a screw. By a rack and pinion the slit can be brought into the focus of the collimating lens. The latter has a free aperture of 4 inches and a focal length of 4 feet. Two feet in front of it the RowianD grating stands on the faceplate of the recording apparatus. It is fixed in a brass frame with a T footpiece, with levelling screws at the ends. The RowLanp grating—a present from the Johns Hopkins University at Baltimore to the Earl of Crawford’s Observatory—contains 14,438 lines to every inch, ruled on speculum metal, its ruled surface being 5°5 by 3°5 inches. Although there is a slight difference in the focus of the spectra on either side of the normal, we are convinced that the irregularities in ruling which cause this defect have been without influence on this work. This is satisfactorily shown by the fact, that close double lines, which were separated by Professor Piazzt SmytTu with similar optical appliances, were found to be double and well defined at Dun Echt. Moreover, a great number of faint lines, never recorded before, were observed on both sides of the normal of the grating, their reality being often abundantly established by their increased intensity in a low sun. The diffracted rays are received by the 4-inch object-glass of the viewing telescope, of which the focal length is 4 ft. 11 mm. There is a filar micrometer provided with two cross wires inclined 45° to the horizon. Their intersection serves as the zero point. An eye-piece, with a magnifying power of 120 diameters, was employed on all occasions. The viewing telescope forms an angle of 25° with the collimator. Lach is supported on a separate concrete pier. The recording apparatus consists of two distinct parts, one for magnifying the angular motion of the grating, and the other for recording the corresponding are on a broad fillet of paper. The grating stands on a plate attached to the same vertical axis as a 6-inch worm-wheel (A) of 180 teeth. This wheel is turned by a tangent-screw (a) on DR L. BECKER ON THE SOLAR SPECTRUM. 1038 the end of a half-inch steel rod 12 inches in length, the other end carries a 123-inch gun- metal wheel (B) with 150 teeth. The position of the rod can be adjusted to insure proper contact of the screw with the worm-wheel. A system of wheelwork turns the wheel B. The latter is geared into a 1$-inch pinion (b) of 15 teeth, on the axis of which a second wheel (C) of 114 inches diameter and 140 teeth gears with a second pinion (c) of the same dimensions as the first. The two horizontal axes of b, C, andc are clamped in the slot of an adjustable bracket. All these appliances are attached to a strong mahogany frame, 2 feet square by 2 feet high, provided with three foot screws, and carried by a massive concrete pier. It is apparent that the angular motion of the second pinion (c) is 180 x 45° x 149 equal to 16,800 times as large as that of the grating. By a long 32-inch iron rod the second pinion can be turned by the observer from the eye-end of the viewing telescope. The rod, however, is not fixed immediately to the pinion, but transmits its angular motion by a very useful kind of joint, without communicating any longitudinal vibration. It is employed by Mr L. CasEta in his recording anemometers, and was introduced here at the suggestion of Dr CopeLanp. ‘Two square bars are screwed crosswise together, each of which fits exactly without tightness into a deep groove in a corresponding disk. The grooved surfaces of the disks face each other, and turn in parallel planes, the only con- nection between them being the gliding cross. If the axes of rotation be parallel, although not necessarily in the same line, the transmission of rotary motion from one to the other is perfect. To prevent the cross from altering its plane of rotation, one of its bars has a projecting plate which slides in narrow channels at the back of the groove of the corresponding disk. In our instrument one of the disks is carried by the second pinion (¢), while the axis of the other is supported by the pillar of the viewing telescope, and is connected with the long iron rod by a Hooxe’s joint. Underneath the eye-end of the viewing telescope, the other end of the iron bar is attached, by another Hooxe’s joint, to the axis of a wooden “recording” wheel. This wheel, which is 64 inches in diameter, rotates inside a narrow box in such a way that its rim, 2 inches in breadth, is level with the outside of the lid of the box. Above the exposed part of the recording wheel is a loaded swing frame carrying a roller of the full breadth of the wheel. Both wheel and roller are covered with sand paper, to insure a grip on the paper fillet which passes between them. A load of about 5 lbs. is sufficient to prevent slipping. When observing, it is by turning this roller that the grating is moved. The paper, 1% inch wide, is supplied from a large roll inside the box, and passes through a slit in the lid and over a flat surface to the wheels. On the lid, turning on a common axis, are five recording levers provided with prickers at their free ends. The prickers, which form dots in a straight line across the fillet about 3 inch apart, are easily worked by the thumb and fingers of one hand, either singly or simultaneously. To this end the levers are suitably splayed at the fulcrum ends. The levers are smartly raised by springs as soon as the pressure is removed. ‘Thirty-one different records can be made by the various combinations of the five needles, but only 19 have been employed. The 104 DR L, BECKER ON THE SOLAR SPECTRUM. full revolutions of the recording wheel are registered in a simple manner. A strong nail was driven into the rim of the wheel, and filed away to a sharp edge, which leaves a, dis- tinct mark in the paper every time it passes beneath the roller. These marks served as zero points in reading off the observations. We may mention that in the 3500 feet of paper that contain the observations, not one of these marks is wanting; and judging from the intervals between them, the fillet has never once slipped. Apart from this safeouard, the observer, when turning the roller, could always see in the viewing tele- scope that the grating had moved; and this could not possibly happen unless the fillet had correspondingly advanced. If the recording wheel was intentionally held fast, it was impossible to draw the fillet over it by turning the roller. As to the linear distance between two lines on the paper, it may easily be computed from the figures given, that the D lines for instance are 19? inches apart, whilst the whole region from A = 6024 to 4861 would require a strip 314 feet long. The apparatus works in the following manner :—The observer with his right hand turns a toothed wheel on the same axis as the roller; this drives the recording wheel and moves the paper along by friction. The long iron rod transmits this motion to the disk of the connecting joint, and then by means of the cross to the other disk which is fixed to the second pinion. This second pinion, acting through the wheels and endless screw, slowly rotates the grating, thus causing the lines of the spectrum to move across the field of view. When the line under observation coincides with the intersection of the wires, the fingers of the left hand depress one or more of the needles according to the degree of blackness of the line. If the lines of the spectrum are near together, they can be registered as quickly as the eye can appreciate their individual characteristics. In spite of all the connections and the smallness of the worm-wheel, the probable error of one observation of the relative position of the grating is but +0”°77 of arc as computed from lines half-way between starfdard lines. This corresponds to 95.35 inch in the circumference of the worm-wheel. For effecting a quick motion of the grating, the bracket to which the wheelwork is fastened turns round a pivot at the upper end, and can be raised out of position by a string. By a long wooden handle the observer can then rotate the tangent-screw directly, without quitting his seat at the eye-end of the viewing telescope. _ The instrument could be much simplified. A small table moving easily round a vertical axis from which a rigid arm projects as far as its rigidity permits, and of course balanced, and a screw of low pitch acting on the arm similarly to the slow motion of a Transit-Circle in Declination, would be a simple substitute for all our multiplying gear. When a great number of lines have to be determined by eye-observations, such an instrument will always give accurate results in a comparatively short time, provided it is possible to introduce a sufficient number of standard lines. DR L. BECKER ON THE SOLAR SPECTRUM. 105 4. THE OBSERVATIONS. The working plan of 1887 embraced the region 603 to 6, to be observed both in the evening and morning in both the second spectra. For the sunsets the plan was carried out, whilst the sunrise observations are complete in only one of the spectra. In the following year, 1888, the deficiency of observations in the one spectrum was made up to such an extent as was consistent with the idea of finishing the spectrum up to during that year. The sun at medium altitudes has been observed at least once on both sides of the normal in the two spectra. On beginning a set of observations the first line was identified in Professor SmyTH’s maps of the Solar Spectrum. This work has afforded us the greatest help, not only while the observations were in progress, but also in the identification of the standard lines in the reductions. The day of the month was entered on each strip, followed by readings of the dry and wet bulb thermometers and notes about the weather. Sometimes the intensity of one or two,water-vapour lines between the sodium lines was also noted. The time at which a line was observed was occasionally put down, to allow of computing the sun’s altitude above the horizon and the quantity of air traversed by the rays that entered the spectro- scope. At the end of each set the last line was again identified and the meteorological observations repeated. As the five needles of the recording apparatus made marks in a line at right angles to the motion of the paper, any of them sufficed to record the position of the grating ; while certain combinations served to describe the lines. Of the 19 signals employed 14 refer to the comparative blackness of the lines. With the left hand resting on the five levers the thumb was used to indicate 1, and the consecutive fingers respectively 2, 3,4, 5. This covers the five lowest classes of intensity. The following numbers up to 14 were obtained by addition, thus :— 6=5,1; 7=5,2; 8=5, 3; 9=5, 4; 10=5, 4,1; 11=5, 4,2; 12=5, 4,3; 18=5,4,3,1; 14=5, 4, 3, 2. Since the main. object of our work was the determination of telluric lines, it was of the utmost importance to retain a uniform scale of intensity that did not alter during the time the same part of the spectrum was under observation. All the observations had therefore to be made in either of the two second spectra and with the same eye-piece on the viewing telescope. We defined by intensity =3 the faintest lines that could just be distinctly seen across the whole breadth of the second spectrum, while those barely visible were designated by 1. The two webs forming the cross in the field of view being of different thicknesses were used as standards for intensities 6 and 8. The remaining classes were correspondingly estimated. If a line appeared much broader than corresponded to its intensity, the record of the line was closely followed by a sign made with the needles 3 and 2; and when the breadth was considerable, both its borders were 106 DR L. BECKER ON THE SOLAR SPECTRUM. marked in this way. Most of these lines have been resolved into two or more lines on other occasions. A close double line whose components were not readily separated was marked as a single one with the sign “ 3, 1” affixed. There were also signs for indicating the blackness of an interval between two dark lines, for suspected irregularities in the working of the apparatus, and lastly for recording the interference of clouds. The following table gives the number of the series, the day of the month and week, the Greenwich mean time at the beginning and end, and the wave-length to which they belong. These are followed by the number of lines observed and the apparent altitude of the sun at the given times. Further, the table shows the elastic force of water-vapour as computed from Guyort’s tables, the pressure of the air (at the observing station), the outside temperature, the degree of transparency of the air ranging from 1 equal very transparent to 5 for thick haze, the direction of the wind and its strength rising up to 10 fora gale. Amongst the remarks the intensities of 2 water-vapour lines have been given sometimes,a symbolising the double line, \=5885'18 A.U., and b d= 5833'24 ALU, | TABLE 107 DR L. BECKER ON THE SOLAR SPECTRUM. ‘spnoyo Aq paydnizequt w0yJo stoTyeArasq¢ ‘spnopo Aq paydna1eqzUt w94Jo suolvaresqC, ‘podojaaop Ajsuo1s pueq-urer {qurey Azaa uaers) ‘spnojo Aq peddoyg ‘spnoyo £q peddoyg “OLIJFIOJUL SPNOTD fmGF yGT 4e yurez 003 © “qUIey inIy0eds pue “per-poorq © ‘fspnoyo &q poydnasoquy ‘ystur Aq poydnatoyur { spnozo oy} eaoqy | ‘spnopo Aq peddoyg “SUIUTLI OSTIUNS JV ‘yhoysnoryy 4s MorreU £ uoZTOY peyoney © jo quiy aeddn [[y poassqg "MOZIIOY Ivo Spnojy ‘e0u0 poydnisoeyur spnopo { snqeryg ‘qnoysnoryy WIS MOTE ‘Ss][IY purteq porvodde “sip A]yTe}0} pey Uns oy4 T[1 poadesqo ‘uozIIOY Tew spno[O | ‘souly 90143 paydnatoyur spnojo ‘qs uedo f41ed 4sey ur qurey wnayoedg ‘qIqs usdo qT qued sey Squrey tanqoeds { por-poojq © ‘qurey winayoedg “uoZII0Y Ive SpnojD *SYIVULOY | *£{ 10079 A. ‘ory -0911(] ‘PUM. 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BECKER ON THE SOLAR SPECTRUM. 108 ‘G=0 whE qh {spnoja Aq poddoys pue poydna1oyuy 'G=P wO LL £9Sty ye Furey GST] ‘8=” whP uh {spnojo fq poddoys pue poydnaseyzuy ‘qurey wnayoods £ Lalpea ot} UL SOT ‘G=P w9G yOT *snqerys ysnormqy, ‘qurey uInIyoedg ‘P=? wGG {spnoj sq peddoys pue pojdnasioyuy ‘Sutojsoyut ATyWeysuod spno[D ‘spnoyo Aq paddoys pue paydnareqyuy ‘MOZIIOY 1vdU Spno[y ‘9Q=P w9E u9I ‘Spnofo Aq paddoyg *SU0148 AioA pueq-urer ‘{spnop Aq poddoyg "SOINUIUL MOT V IOF IVOTD ‘G=0 ‘spnoyo Lq poddoys £ Aoqyea oy} ut So,7 ‘spnoyo Aq poydnarzequy ‘SOJNUIUT MOT V OJ IVI] "SOJNUIU MOF B LOF LTO *ysvor0A0 AS OTOYM JSouUpy “MOZIOY Bou spnoTO “AIeMOS ‘ooo poydnaz19yUL spnoyy ‘popnoyo A¥s ofOYM ysouly ‘ALOJIOJUL SpNojH *SHIVULOY 8] As 1 § 8G 16-86] 6€-0 |I-L | L& LG V ‘M € 0g F0-6G6| GE-0 |G-G | F-0 6LE Rid ae uz: a: ae - ler] ez VU 8 “M G LG €6-66| OF-0 |F-E | FP 08 Bee ae we ae Ha Tre | eT 986 i “M € SP 88-86} O€-:0 {6:0 | 4-0 I? 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GE 7 Cae Ig 2p = 08 er’ 6G id 8Z OL. # Ag or = 9% Ge oe GZ eal, #Z ge. = €% Ga if GG nef 1 Eneas 0z I 4™me} 61 ‘ gg L881 “u9yu0 sey Ro ‘ON 109 DR L. BECKER ON THE SOLAR SPECTRUM. “AayT[VA OY} UL SOT "par ul penuyu0d suoteAresqQ 8") =9 mOG ql £488] 9% gurez AoA onTq udeIy “SpNopo WIIA qsvorsao ysowye Lys 9TOT AA "L=@ wG y8 ‘Onqq Ur gurey Aron qysrT ‘9=@ ‘“G=0 m0 y9T * Aoqfea ou ur 0,7 ‘spnojo fq paddojys { foyyea oy} ur 80,7 ‘uozHOY Ivou yuIey ATOA UdeIS-on[_ ‘aSIIUNS 4B JUTe} 004 udeT5, "L=9‘Q=" w8T 91 * Aoyfea oy} ur Sg ‘ATUO soul] ysoyxseq | ‘quiey AIOA ON[T ‘estiuns prtpuerds { Layea oy} ul Soq ‘4SUT 4@ qUIeT qysi, Sumop ApoyoTdutos © ]][1 poaresqoQ ‘umop Ayaje[du0o © III} paaresqg ‘umop AjaqeTduos © [lf pearesq~ ‘)=@ ‘qesuns pipusetdg ‘spnoyo fq peddoyg “SUTAIOSqO 1OF U90I8 oY} UL YULeF 003 4YSIy f AoTTeA oyy UT Soy “‘qurey qysrT ‘snyeays £ AoTTeA oy} UL Sog "'G=0 wuGE yl ‘spnopo &q paddoyg ‘sngeays £ AdTTVA O44 Ul Soi ‘L= wO ql] { UozTI0Y Iveu snyeIyg *syIVUL9yY ANNAN SS E Zi A ad iA ww eee OD QI rj HCO RM E *A4TOO]O A. *MOT}OOII Aousredsuery, “Ie i] UL ainjzerodui y, “TY ou} jo ommssorg “mode A -104 AA Jo a010,7 ONSET €-G LI GT 9-7 GG GL 9-G 0: 8-gG 0:§ 1-6 GT 9-0 G-T 6-G PG GG 0-T 6:0 1-0 60-| 1-0 1-0 €-1 LG I-¢ 8-7 6:0 — 0:0 8-¢ 0:0 g.G LO-| 6 G1 &-7 L-& 1-9 6-1 LG €-G €-T G-0 0-7 LV 1G GG 0-6 9-T 9-¢ 8G €-0 aa 1-0 = : ‘Sura PUM | -mseg ye ung 9y} JO epmranry quorrddy 967 G0G L8V 86F 987 189 987 68P 664 16g G6¢ 967 604 96F 904 GIG 81g ILg LLG G8q 68g 06S GEG GLG LEG 66g G6G |8¢8 96F | CE 8 FOG |t7r8 81¢ | OL 91 HAUSE ee} 81g | 2 869 | 2 L6G |0 9G | ggg Glo |0¢ 9 €09 |% LT G9G | C18 689 | €¢ LZ AAS (Oecd OS Aves ATG JAE 09G | 1G 9T ‘Sula PUE| gag | “PU *paArosqgQ worseyy jo sywyry “panuyuUoo—SaadnLILTyY MOT LV NOQ-—'T aTavy, *o ne) . Heme: ea O) vy 2 weds LS tO + OF ye Out, UeaTT WOT Moe wa leeg en << s.29 inane 19 I Aine | 09 ie 164 9608. "26G = 8G OZ a) (28, ue QLG Coo wg ae ae v1 ggg Gz “- |n9G Va 1 cd To | ve CO e lee Coe an alae g[eunr| TG "8881 He ne 1 ‘ydeg | 6F es Se ao Se Noy ee DA Coe or @ ‘sny| GP Tee EY. 6c Aine | e7 "1881 *71u0 aut io wea ON DR L. BECKER ON THE SOLAR SPECTRUM. 110 ‘qasuns oul ‘spnop> Aq peddoyg ‘spnozo Lq paddoys { yurez Az0a 4ysr] ‘481g ye yurey AJOA 4ST ‘qaed ysvy ut qurey Aroa 4ysiy f snyeryg “‘Surarosqo doys pue er9j10}UT spno[y ‘qSel ye JuLey uNIyoodg ‘L=4@ wOT uh ‘SNYBIYG ‘reojo ATUO uoZzTIOY “ ‘spnoyo Aq peddoys { "W eyy UT IeaIO "L=9 mF y9T £ reez9 ATUO uozw0y Wy eyy { Aoyjea oy} UT Soy osuaq ‘spnopo Aq paddoyg L=Umab7 x91 * PEATOEO por fyurey AJaA ueols-onyq ostIuns FV "SVU 4 nN wo “oon | A Ae He Ps wANAH "MOT}OAATT ‘Aouoredsuery, “Ie Ur emyeroduay, Sry Out jo ornssalg “mode A -10}2 jo d010y O1YSVT A 8hG QS & +rH4O AN OrAwmonOOnntTAAN 5 AOASOHSIIRSOOS OO DMHOAIOAOHDAN be) GOON OWN HHO RH ioe) os t | ND qe ung 944 JO opnqyyT Vy quorvddy Ioquuyy 98G| 91g O08G| 9L¢ 18g} 4249 67 | 987 L8G} 98g 96h | 987 61G| 60¢ FI¢|) 80g GIG} €0g FOG} 96F 10G| 967 8I¢| Og GOG| 867 OIG} 967 SIG} Og GOG| 967 é1G| 0g ‘ni *SUIU PUM | -wisag *padresqgQ TOs JO SOM], ye OUMry, UvoTT POIMMIAIy ‘Panuyuoo—SAGALILTY MOT LY NAQ—"T aTAVy, xr WO ‘8881 F eunr | gy i) gaa) g Avy | 92 "6881 eg | ay ve FL eo pay OG Wee LL ‘3deg| Zs oh is IZ or 2 | 69 ae 989 I ‘Ssny | »g9 | aetna) OZ 71-99 oz “ | g9 61 Ame | 9 ‘yao | | ayy jo Avq| ON 111 DR L. BECKER ON THE SOLAR SPECTRUM. 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BECKER ON THE SOLAR SPECTRUM. From these tables it appears that the spectrum has been observed on 79 occasions near the horizon, yielding a total of 17,782 observations, Since the work has been done in 44" 54™, each line required on the average 9 seconds. There are 32 sunrises and 47 sunsets, the former with 45 per cent. of the observed lines. The observations of the sun at medium altitudes amount to 8325, which have been determined in 29" 7™, thus allow- ing about 13 seconds for each line, or half as much again as in low sun. While the slit was as narrow in high sun as it could be made, it had to be opened more or less if the sun approached the horizon. Yet there are several series, especially in the less refrangible part of the spectrum, which have been obtained with a narrow slit down to the horizon. 5. Tue REDUCTIONS. The lines were read off from the strips to one-thousandth of a revolution of the record- ing wheel, by using a paper scale pasted on a piece of wood. One revolution covered 192 in. The marks made by the projecting nail on the recording wheel served as zero points for each revolution. With the exception of the observations obtained in 1887, this trying work was done twice over by James M‘PueErson, the attendant at Dun Hecht Observatory. From these records the wave-lengths are easily computed when the correc- tion of the zero point has been determined from the standard lines. Let C be the angle between the collimator and the viewing telescope, and a the angle between the collimator and the normal to the grating, positive on the side of the viewer, and let a be the distance in millimetres between the lines of the grating. Then we have for the spectrum of the nth order * —sin (Ca) — sin a. The positive sign has to be chosen if the directly reflected beam of light falls between the collimator and the viewer or beyond the collimator, and the negative sign if it lies on the other side of the viewing telescope. In the first position the less refrangible part of the spectrum precedes the more refrangible rays when the grating is turned by the recording apparatus. Let x, correspond to this position (I) of the grating, and x, to the other (II), and let the dispersions be A, and A, as defined by then we have 0 > eee ee eee 1 a cos(C—a,) & Cosa,’ 2~ @-cos(C—&,) @ Gos,’ and since #,>«,, we have, disregarding the sign, Age wis * Compare HassELBERG, Untersuchungen iiber das Absorptionsspectrum des Jodgases. St Petersburg, 1889. DR L. BECKER ON THE SOLAR SPECTRUM. 1138 From the constant of the grating a= 0°0017592 mm. and C= 25°, we find for the second spectrum if X= 5500 A.U. @,=—6°2; 2,=381°2; A,=116A,. Suppose the rays from the edges of the slit enclose the angle 2s before diffraction, and let the angles be 20, and 2o, after diffraction. Then o, d(C—2) cos% oa, d(C—a,) cosa, s da, cosa, 8 dat, COS 2, Gy >s> Oo» This shows that the angular value of the slit remains unaltered if the collimator serves also as viewing telescope. Further, we see that the angular value of the slit in spectrum I, which gives the greater dispersion, has increased. The separation of close lines depends both on the dispersion and on the apparent size of the slit; we must therefore A A compare [* and —>- 1 Apete le dos, 1A let ond 6 cose,” oc, G Sicorm) therefore iC Be o, \ oy” which means that although the dispersion A, is greater on side I than on side II, the separating power is less in the first position. In the special case for \= 5500 A.U., it is do O71 Ar_ 14641, In this investigation one important point has not been taken into consideration at all, viz., the intensity of the light. It would require special experiments to find the intensity of the diffracted rays for the several positions of the grating with regard to the direction of the incident light. But we may compute the direct loss of light incurred by our spectroscope. The breadth of the ruled surface of the grating allows the same amount of light to be received from the collimator in both second spectra. After diffraction the horizontal diameter of the beam of light becomes COS &. : cos @ 24 in. and d,= : COS @ COS Ly 4, in., or for \=5500 ALU., d,=3°44in.; d,=4°65 in. The aperture of the viewing telescope being 4 in., the second position of the grating entails a loss of light of about 15 per cent, 114 DR L. BECKER ON THE SOLAR SPECTRUM. After all, it is difficult to say which of the two positions is the better for observing. But the formule leave no doubt that it is most advantageous to have the viewing telescope as close to the collimator as possible. After this digression we return to the first formula, which we shall write AN mr C a Ae sin {| = —a#)=-+——_,.. or + — sec =: ( 2a cos = a2 2 Instead of « we introduce the angular motion of the zero point of the recording wheel. Let + be the number of revolutions of the recording wheel required to turn the grating from the position «=0 to «=a, hence 1296000” c= "T5040 r= [1:8872957]"'r , thus giving a simple relation between 7 and X. A table was computed for the second spectrum giving » with 7 as argument, the interval being one-tenth of a revolution of the recording wheel. On account of the relation t,=C=a, sore C7", , one table suffices for both positions of the grating. The following is an abstract of the table employed :— +7.) || Nin AUVs | 1. Dike +r, | Ain AU. | 1. Diff +r |Ain AU. | 1 Dik 380 | 605592 | 60-16 310° | 363205 | 60:73 || —240 || be0e33 370 | 5995-76 300 | 5579:32 . 61:27 76 | 60-24 32 | 60:80 || -230 | 5145-06 360 | 5935-52 ~990 | 5511-52 : 61:33 60:33 60:89 || -220 | 5083-73 ~350 | 5875-19 280 | 5450-63 | 3 61-40 60-41 60-96 || —210 | 5022-33 _340 | 5814-78 270 | 5389-67 3 61:47 60:49 61-04 || —200 | 4960-86 ~330 | 5754-29 260 | 5328-63 61:54 60:58 61-11 || —190 | 4899-39 ~320 |" 5603°71 (1, 8908 ol +250 4) MopeyeD2 ON Bs 4 jab: || agape apa ~310 | 5633-05 ~240 | 5206-33 All the standard lines were first expressed in terms of 7, and then compared, in every series of observations, with the observed revolutions of the recording wheel. Had the apparatus been perfect, the differences between calculated and observed quantities would have been constant for the same set, the difference being the correction of the zero point, after allowing for which the foregoing table would have supplied the wave-lengths by interpolation. Owing, however, to irregularities in the mechanism, changes of tempera- ture, &c., the zero point changed usually by a few hundredths of a revolution from line to line. So long as these changes were moderate in quantity it was easy to allow for them by a simple graphic process, but in certain positions of the worm-wheel the correc- tions changed very rapidly. ‘The reducing curve then became so steep as no longer to DR L. BECKER ON THE SOLAR SPECTRUM. 115 permit of accurate interpolation. When this happened we introduced another table, computed from the original one by altering all the first differences by the same quantity. This quantity was selected so that the first and last standard lines of the series gave the same correction. Of course “r” had again to be interpolated from this auxiliary table for the standard lines, and the whole process repeated. The curve could then be readily drawn. Geometrically the ordinates of the new curve are equal to the differences of the ordinates of the first curve and of a straight line drawn through the first and last points, or, in other words, the second table eliminates the progressive error in the motion of the apparatus. The standard lines are those published by Professor H. A. Rowanp, in his essay ‘“‘ On the Relative Wave-lengths of the Lines of the Solar Spectrum.” * To these were added fifteen lines, principally between ¢ and /’, which were reduced from the memoir entitled “ Bestimmung der Wellenldngen von 300 Linien im Sonnenspectrum,’ + by Drs MULLER and Kempr, and from Ancstrom’s Recherches sur le Spectre solaire. Twenty-two lines between b and #’ which were determined by Messrs Rowianp and MULLER-Kempr, gave the constant difference —0°19 ALU., the probable error of one difference being +004. To the same region forty-seven comparisons between wave-lengths determined by RowLanp and Anesrrom were made, and the differences combined by a curve. The probable error of one difference amounted to + 0°07 A.U. Avyesrrom’s measures, however, were only combined with those of MULLER—Kempr with regard to their weights when there was no doubt left that the wave-leneths referred to the same line. The reduction of the bulk of observations was carried on in three columns; one column contained the readings, the second the corrections of the zero point as taken from the curve, and the third the wave-lengths, which were interpolated from the table with the difference of the values of the two preceding columns. All the wave-lengths were then compiled, and the corresponding lines identified. This turned out to be a most difficult task in those regions where many faint lines of the same intensity stood close together and were occasionally wanting. In such cases special drawings were prepared and the most probable identifications adopted. There was not so much difficulty experienced with faint lines in the neighbourhood of darker ones. Neighbouring lines of different intensities were invariably combined line for line with others of corresponding blackness, although other combinations might have brought the wave-lengths to a closer agreement. Very often close double lines were found not to have been separated when the sun was close to the horizon or the faintness of the hght had necessitated a wider opening of the slit. The adopted values of the wave-lengths are the means of all the observations made, as well at medium altitudes of the sun as near the horizon. In the case of double lines, which had not always been resolved, the mean of the middle was first computed and then corrected by the average distance between the lines. The fainter lines having, as a rule, * American Journal of Science, vol. xxxiii., March 1887. + Publicationen des Astrophysikalischen Observatoriums zu Potsdam, Fiinfter Band, Potsdam, 1886. VOL. XXXVI. PART I. (NO. 6). U 116 DR L. BECKER ON THE SOLAR SPECTRUM. been observed on fewer occasions, it was found inadmissible to take the mean values of the wave-lengths before the single determinations had been corrected for systematic deviations derived from the darker lines. As the observations of the standard lines were reduced with the others, the wave- lengths thus obtaimed should not deviate far from the standard values adopted. How- ever, we must not forget that the curve was drawn as regularly as possible, and therefore at places where two or more standard lines lie close together discrepancies must occur in the several determinations of the wave-lengths of the standard lines. In the following table we give a comparison of the wave-lengths determined by Professor RowLanp and by Drs Mtiier and Kempr with the mean of our final values. The Potsdam wave- lengths, which served as standards, are marked by a star in the column MK-B. Double lines have a d affixed. Tasxe II. Final i Final Wave-Lengths. R-B MK-B Wave Loneenet R-B MK-B Wave-Lengths, — es lo 6024°22 -1 +16 584836 xg +16* 5657:99 +3 6021-94 +1 nied 5831°81 ae +15* 5655°704 -—6 6020°23d +5 see 5816°50 0 +18 5645°76 -l we 6016°81 -3 vel 5809°35 +1 a 5644°31 ae 5 6013-68 0 +15 5806'89 — +16* 5644:13 aoe i is 6008°71 -l Sac 5798°36 -3 an} 5641°58 +1 ae 6003°17 0 +16 5791:14 0 +16 5638°39 Bur +19 5987°20 +1 +20 5788-09 -—2 ee 9634:02 ws +18 5984-901 +8 Hic 5784:02 -1 ae 562470 0 + 5 597694 -1 +17 5782°30 -2 =: 5624718 0 a 597551 0 se 5780:72 sia +18 5615-82 -1 429 596597 ane +15 5775°24 -l +12 5615°44 +1 5958°45 ans +10 5772°28 +2 ae 5603-03d -l +12 5956°86 -1 are 5763715 0 + 8 5594:87 Se } ae 5955°10 +1 ae 5754°82 0 + 8 5594-66° ee 5951°68 +3 sae 575329 -1 aes 5588'92 -l sae 5948°67 +1 + 26 5752-21 -2 ee 5586:90 ae +14 5946:14 -l Mae 574812 cis + 7 558212 0 oe 5934:82 -1 +17 5741:97 +2 cies 5578°82 “as +19 5930°33 +1 vee 5731°92 -1 +15 5576°22 0 ite 5919°83 -—4 BS 5718-00 sae +13 5572'98 Se +16 5916-42 -1 ie 5715°25 -l ise 5569°76 +1 se 5914°32d 0 +15 5709-71 -l 12 5565°83 we +16 5905-81 +1 os 5709°55 pal } gf 5555-05 =a ei 5901°62 +1 ae 5701-71 0 ce 5544-07 0 ne 589833 0 aie 5698:57d af +13 5543°34 0 +10 5896:08 0 +17 5688°38 -1 +13 5534:98 +1 os 589308? -—5 58 5682°84° +5 17 5528°56 0 +12 5890712 0 +11 5682-41 ” i % BILD Td 2 +18 5889-78 +2 a 567921 -3 sei 5513-12 0 ae 5883°98d -1 +21 5675'59 0 +17 5506°92 0 ae 5862-51 0 +15 5662°68 0 bce 5501°58 +3 +21 5859°73 +1 oe 5659-04 ee 5497°68 -2 +15 5857°61 0 +19 5658-82 +13 5487°88 ash +19 | 5853°85 -1 sc 5658°65 5477°05 -l sae 1 Telluric companion. 2 Telluric companion. 3 Telluric companion. 4 Another line to the violet side. 5 Another line to the violet side. OL << sO Oe ea Cee ee ae Se DR L. BECKER ON THE SOLAR SPECTRUM. 117 Final Final Final Wave-Lengths. Bo Wels Wave-Lengths. ae Bente Wave-Lengths. a Meee 5476°87d! fe +10 5255-01 aE +31 5090°88 +2 +24 5466°51 qe a! a0: 5253'58 —2 Boe 5084:20 Spt +19 5463°44 -2 9 5250°75 +1 5083°47 -1 Db 5463°11 2 } +12 | 5950-33 0 ; +31 1 5076-43 ie +19* 546259 +8 ae 5242-60 oa +15 5068°88 0 ane 5455°68d 0 +12 5233°02 +3 +19 506530 Be 5447-04 +1 +16 5229-98 -3 foo 5065°12 ios +24 5434°65 +1 +16 5227°31 sist 5064°73 +4 5429-86 ont +16 5226°98 é +33 5060719 +0 a 5424-21 -1 aa 522667 oe 5051-74 fat +11 5415:32 +2 +20 0225°62 0 nap 5049-94 0 +11 5405°91 0 +15 5217°52 -3 a 5041°80d BOE + 16* 5400°60? fae +23 0215:27 +1 + 29 5041:00d we + 24% 539726 aml +19 5210-48 +1 ae: 503604 —l +18 5393:27 +3 +30 5208°59d sie +18 5027:°27 Don +24* 5389°62 -]1 +21 5204°62 +3 Boe 5020°14 0 aie 5383°49 +1 +19 5202-46 —4 +15 5018:47d oie +18 5379°71 —] ae 5198°81 +1 ae 5014°36 -1 ado 5371°63 -1 +11 5193-07 0 one 5012136 ae +33 5370:09 0 ota 5192-44 oe +23 5007-34 +3 + 24 536762 -2 +17 5191°55 $3 +21 5006:26 -2 \ 4.93 5362'93d opie +22 5188 -89d 0 abe 500585 -1 a 536 1°76 -1 sie 5183°73 0 +20 4999-64 =I +16 5353°52 +1 +19 5173°83 +1 oe 4994:23 +2 a: 534599 GbE +17 5172°78 +1 + 6 4991:27d a +17* 9341°22 ane +14 5171°73 —2 ee 4985-53d ns +21 5333°044 0 +12 5169°10d -1 ane 4981-85 -1 S66 532861 l 5167:51d -l +16 4980°32 -—3 + 20 5328°34 +17 5165°54 -—2 bee 4978-75 —4 as 5328-06 i nl 516239 | +10 +21 4973-25 eis B15 532432 -1 +17 5159-18 = +22 4966°21 ee +15* 5316°79d +1 +22 5155-90 -—4 ae 4957 54d os + 16* 5307°49 -1 +17 5154:17 -1 atie 4950°26 re +17* 5302°43 Stn +17 5150°94 +2 aod 4942-65 50 +17* 5300°86 —2 ate 5148-25d Bee +19 4934-20 =2 +17 5298-90 Ace 5146°62 -l oe 4924°90 = I abe 5298'57 As 413 5142-97d +2 eae 4924-04 +1 +21 5298°34 Sop 5141°81 +4 ade 4920°63 0 +16 529806 de 5139°44d +3 +28 4919-127 -1 + 8 529676 +4 Diese 5133°82 -l +18 4907°85 +2 soe 5288°68 -4 +17 5127°47 0 ait 4903°42 =1l +21 5283°75 0 +18 5126°32 —l ges 4900°31 = (| aac 5281°89 +2 +26 5125:26d Bt + 22 4900:05 -1 aa5 5276°20 -6 29 5121-74 -1 Bee 4891-68 “in +10 5275°89 aes \ # 5115°50 0 +29 4890°87 +1 +23 5273°37d +1 20d 5110-48 +2 gar 4885°38d aon +19* 5270°43d 0 +12 5109°76 0) Sor 4878°30 aan + 19* 5269-66 -l +24 5107°63d ie + 22 4871-41 200 + 19* 5265°73d bon +24 5105°67 -l es 4861-42 qe i. +22 5262°36 sue 5098°72d Sac +19 4859°86 0 ste 9262°28 +25 5097°10 -—3 5261:82 -l (+5) 5096°94 ? Another line to the violet side. 4 Companion to the violet side. 6 Double line to the red side. ? Companion to the red side. 5 Probably Rowland’s 5241°60. 7 Three lines to the violet side. 3 Companion to the violet side. 118 DR L. BECKER ON THE SOLAR SPECTRUM. The intensity of the lines adopted for medium sun is the mean of the estimations made near the meridian; yet if the mean fell between two classes of the intensity scale, the low sun observations were consulted. As to the fainter lines the mean of the intensity had often to be corrected in accordance with the definition of our classes of intensity. Thus a faint line which had only once been seen was considered equal 1, except when it stood near a dark line, or was a component of a close double line. Further, if a line of intensity “3” at high sun had frequently been overlooked in low sun, we assumed it to be of intensity “2.” Moreover, a line of intensity “2” was entered as “3” when never missed either in high or low altitudes of the sun. Before the intensity of the telluric lines can be treated of, it is necessary to show how the absorption at different altitudes may be expressed in units of that in the zenith. 6. ABSORPTION AT DIFFERENT ALTITUDES. This problem has been solved in its simplest form by Lapiace. Supposing the absorption to increase with the first power of the density, he finds the absorption in our atmosphere, for any zenith-distance, proportional to the refraction divided by the sine of the zenith-distance. Yet M. Janssen * has shown that, for certain bands in the absorp- tion spectrum of oxygen, the same absorption is produced in columns of oxygen of different lengths, if these are inversely proportional to the squares of the densities. This discovery induces us to develope the problem generally ; the more so, as one of these remarkable oxygen bands falls within the region of our work. Let s be the uniform density of a layer of atmosphere bounded by spheres of the radi 7 andr+dr; and let v’ be the angle between the curve of light and the radius r. Suppose the absorption to be proportional to the (n+ 1)th power of the density ; then we have dr ~ cos v’ d¥ aie ; 4 ; : . Sys where F denotes the length of a column of atmosphere of the density 1, which produces the same absorption. Assuming BessEL’s hypothesis t respecting the decrease of density, we have P=p oe anu s=1-— : ; - : a); in which py designates the density at the surface of the earth, 8 a constant (= 745°747), and a the radius of the earth. Now suppose that » and py are respectively the indices of refraction in the layer of air * Vierteljahrsschrift der Astronomischen Gesellschaft, 25 Jahrgang, Erstes Heft, Leipzig, 1890. + Busser, Fundamenta astronomie .... . Regiomonti, 1818, Sectio iv. a ee oe ee ee ee ee eee Po- : DR L. BECKER ON THE SOLAR SPECTRUM. 119 under consideration and in the air at the earth’s surface, Z the angle between the curve of light and the radius a, then Tusinv’ =dp,sinZ . i : : , ; na): Combining these formulz we have a —(n-+1)Bs dE = apt* sae se ea) Dies 1—sy 1 (1-8) (n+1)8 aoe Z—(1—K,)-+(2s—s*) sin? Z 0. a form similar to Lapuace’s differential equation of astronomical refraction.* We integrate this equation at first for large Z, following almost the same course as LAPLACE has chosen for »=0. We introduce with him the constant of refraction defined by 2 dq tose MU and consider that : eI ees — Mo—1l py hence and by (2) we joel Eee.) oats | oe) errs 69) Ko G—s? » _ changes from 1 at the earth’s surface to 1°025 at a height of 50 miles. We may a, 0 therefore develope (4) into a series according to powers of s. The first term becomes after integrating =I) de-@+Bs = : : ‘ //sctiauws ole -P) sin? Z Denote eer = sin? gt sot! and a Pau a7 5 a . A . . . (6). Lacrance’s formula for Reversion gives a e~@+1)Bs = e-~@+)py = ag sin? Z m-1 (n+ Ifo". (7) (n-+m)"-Xn-+1)B"-e- EME Hence the mth term of F, becomes Paap ye [Ome T ene feel om ="PO (m—1)!_ sin? Z J/cos®Z+2 sin? Z.a * Lapuace, Traité de mécanique celeste, Tome iv. livre x. p. 246. Paris, 1805. 120 DR L. BECKER ON THE SOLAR SPECTRUM. a : The integration must extend from x=0 to ©=s,—= a7(1—e°'™), where s, corresponds to the upper limit of the atmosphere. But since the value of the function which has to be integrated is very small for the upper limit, the value of the integral will not be altered if this limit be supposed to be «©. Lapuace defines (loc. cit., p. 250) Boas eae if T= a/ 7B cotg Z, T co e —"Bxd a v3 ys iT d ./ cos? Z+ 2a sin® Z sinZ yay We arrive therefore at the result : or 1a spf -m+pse, Vint) [om oD anez Wn +2) es ee Oe ol As i122 , By sin Z 8° JB J/n+1 Te) Bae J/n+2 In+2 and the general term within the bracket becomes a8 TP, -aimtt, ntm) (m— cm kG mene a ade J/n+m The next largest term in the series into which F (4) has been developed arises from the second term in (I—s)~*. At the same time 7 may be taken into account. By (5) and (6) we have mt _,_ 2a _ -[ss- -Bs 03) yeaa When we substitute this expression in dF (4), and write (7) Fy= sin an +1)- the correction depending on a becomes © 74 __ ag | em41)—vin+2) (8) sin Z| sin? Z k : ; a being less than 1 minute of arc, this correction is of no consequence. ‘The part multi- plied by 2 may be also reduced to \ functions. We find that this term can be taken into account if we replace in Fy (7) cotg Z W(n+m) W(n+m) a pila b aaae (n+m) /28 J/n+m y Jn+m o aaa BI —cotg’Z+——__, DR L. BECKER ON THE SOLAR SPECTRUM. 121 Since Z has been supposed to be large and @=745°747 in BusseEt’s hypothesis, the correction is very small indeed. ‘This holds also for smaller values of Z, because cotg Z Y(nt+m) mw (n+m) J/28 nm For small values of Z we can develope dF (4) eee to powers of tg’°Z. Neglecting all terms multiplied by s° and a? we obtain makes the first term* in —cotg2Z vanish. 1 Cot 1 4 a GATS B ear {1 iy aanet .. tl eae GR -aae) 3 3qo 4 2p een Ge B (n+l(n+2) 5 5 c ¢ 6 (10). For the zenith the formula becomes Ooi i De | Haan} I a oie ee et Ci With BzsseEt’s values of 3 and 6 we find for the oxygen of our atmosphere F=5572 feet if n be equal 0, F= 579 feet if n be equal 1; or, in words, the absorption produced by the oxygen of our atmosphere in the zenith is the same as that of a column 5572 feet in length of oxygen under a pressure of 1 atmosphere, if the absorption be proportional to the density; and of 579 feet, if it be proportional to the square of the density. M. Janssen finds 1660 and 172 métres respectively, by employing a coefficient which Ramonr had computed from the heights of mountains determined by barometric and trigonometric measurements.t The formule (7), (8), (9), (10) enable us to compute the absorption in any zenith- distance, but for our purpose we may dispense with the corrections given in (8) and (9). For n=0 they admit of great simplification. This special value makes the expression within the bracket of (7) identical with that in Lapuace’s and Bessex’s formula of refraction. Hence we obtain Loa la Wis ereT gO) a a in which 6Z denotes the astronomical refraction, or in units of F in the zenith (see (11)) l-—a OZ a sinZ- A= (12). This result might have been immediately deduced from the fundamental equations. * LAPLACE, 2bid., No. 5. + Lapiace, Traité de mécanique céleste, Tome iv. livre x. chapitre iv. 122 DR L. BECKER ON THE SOLAR SPECTRUM. For small Z (10) gives C= =a 1- i9°2(4-$) +19 oe 3 a . . ) xaee Supposing n= 1, (7) gives for large Z, if f,=1 corresponds to the zenith fo= aE! + Taste) eg + nae) ee +b Oa. and for smaller Z f= sq] 1-19°2(55- 5) +192 (ga5— >a) . ye ee which may he used up to Z=85". If BxssE’s constants be introduced, frefers to a barometric pressure of 29°6 inches and about 50° Fahrenheit. In the case of n=0 any change of pressure and tempera- ture is easily taken into account by employing Busszt’s tables of refraction. From these a table was computed which gave f, and its corrections for any barometer and thermo- meter readings. The interval of the argument ‘‘ Apparent Zenith-Distance” was taken at 0°'1 between Z=90° and Z= 83°. The ~ functions in (18) were interpolated from BxEssEL’s tables in the /undamenta Astronomie. The following is an abstract of our tables :— Absorption proportional to the Density. EOE propor inne te PASE Eoue Apparent Zenith- ui Distance. A ee i F, in Miles, So F, in Miles. Ue 1:0 11 1:0 0-12 20 ot 1:2 11 0-13 40 1:3 14 1:3 0:15 60 20 2:2 2:0 0:23 80 56 6°2 a7 0:66 83 77 8°5 eo) 0-9 84 88 9°8 9-1 1:0 85 10°2 11°3 10°7 1:2 86 12:1 13:4 1371 15 87 14:8 16°4 16°5 1:9 88 18°9 21:0 22:0 2°5 89 25°4 28:2 32°1 37 90 36°4 40°4 53°7 6°2 F gives the length in miles of a column of oxygen under a pressure of 29°6 inches at 50° Fahrenheit, which would produce the same effect as the oxygen of our atmosphere. To assign to every line the corresponding value of f, the zenith distance was DR L. BECKER ON THE SOLAR SPECTRUM. 123 computed from the observed Greenwich mean time. Let ¢ be the hour angle of the sun, e the equation of time, / the longitude, and 7’ the observed Greenwich mean time, then t=T—l—e. A table was prepared which gave the apparent zenith-distance with the two arguments, hour angle ¢ and the sun’s declination. When the values of f had been interpolated from these tables for every observed Greenwich mean time, they were entered as ordinates on eross-lined paper, the abscissee being the current numbers of the lines to which they belong. A curve was then drawn through the points and the number of the line read off, for which the numerical value of f was a whole number. Close to the horizon, however, where f alters rapidly, it was necessary to secure more points of the curve by taking Ff from the table with several intermediate values of the zenith-distance. 7. THe PROBABLE ERROR OF THE RESULTS. The complexity of the recording apparatus did not entitle us to expect any great accuracy in observations which were at some distance from the standard lines. It is true the working of the train of wheels had been examined under a high magnifying power of a microscope, before the work was undertaken. But although the wheels appeared to move regularly, when the fastest of the set was turned steadily, there was still the chance of periodic errors being produced by the form of the teeth. It will be remembered that the bracket which carried the second wheel and the two pinions could be pulled out of position to permit a quick motion of the grating. This quick motion was used before every set of observations, in order to bring the required region of the spectrum into the field of view. Therefore all the errors emanating from irregularities of these wheels have the character of accidental errors. With the first wheel, the endless screw, and the worm-wheel it was different. The grating had a fixed position in relation to the worm-wheel, so that every line was observed almost in the same position of these three parts. Yet the great number of standard lines acted favourably. One revolution of the screw covered about 90 standard lines on an average, thus rendering harmless all the periodic errors in the screw and the form of the teeth of the worm-wheel. But the first wheel, which is on the same axis as the screw, turns about a tooth and a half for the mean interval between the standard lines. Any irregu- larities in the form of these teeth must lead to systematic error, which cannot be eliminated by merely multiplying the observations. It was not until 1889 that the grating was frequently altered in position with reference to the worm-wheel. Hence it was of import- ance to observe the second spectrum on both sides of the normal of the grating. It is true that, as already pointed out, the observations on one side preponderate, but those on the other side are sufficiently numerous to test the magnitude of the errors arising from the source under consideration. Moreover, the recording wheel worked in only one direction, while the lines travelled in opposite directions through the field of view on the VOL. XXXVI. PART I. (NO. 6). x 124 DR L. BECKER ON THE SOLAR SPECTRUM. two positions of the grating. Therefore any personal error in bringing the lines to the cross wires would be eliminated if it depended on the direction of the motion. In order to form an idea of the working of the apparatus 142 lines with 1583 single observations were selected, which lay about half-way between standard lines, and were distributed over the whole length of the spectrum. They gave as the probable error of a single observation } r= +0°056 A.U. This value corresponds to 1th inch on the recording paper, to 347th inch on the circumfer- ence of the first wheel, and to 559th inch on the circumference of the worm-wheel. Every line having been observed on an average eleven times, the probable error of the wave- length of any well-observed line lying half-way between two standard lines amounts to r= +0:019 AU. It would have occupied too much time to repeat the same computation for all the lines. We therefore chose an entirely different way. In the course of the computations we had deduced the means of the wave-lengths for every line, as well from the high sun observations, as from those of the low sun in both positions of the grating. There are thus three series of results belonging to the same lines. Let s, and s, designate the values given in two sets of results, and m the true value. The average error 7 of one value is then : 7, =a ee ee) if m is the number of values in each set, and [| | stands for the sum irrespective of the signs. Let s,; be the mean of p, and s, of q observations, and suppose all the observations equally accurate. [s,m] /p — [s,—m] /q=0. [—m] + [s,—m] = [2-5] Further when the true value m is supposed to lie between s, and s,. This granted, the average error of one value resting on p + q observations becomes : neo SPT tt [sy— 8] Jp+q(vp+ Jaq)” The factor being symmetrical with respect to p and q, the same formula will hold good if p and q be interchanged for any pair of values. The probable error follows by the known relation y = 0°845n. In using this formula we are well aware that neither the condition of equal accuracy, nor that of equality in the number of observations, is strictly fulfilled. Comparing the tee? Cs Sel Mee ee Me ek ee ee ee Ae DR L. BECKER ON THE SOLAR SPECTRUM. 125 wave-lengths of 2395 different lines obtained on one side of the normal with those found on the other side, we find the average difference [s, al _ 0-065 A.U. The probable error of one wave-length, which is the mean of all low sun observations, then becomes for p=q ‘ r= +0019 AU. One series, however, contains on an average twice as many observations, hence p= 2q and x r= +0018 ALU. which nearly holds for the mean of six observations of the same line in low sun. The same comparisons give on an average a systematic difference of 0:007 A.U. We next compared the wave-lengths which result from all the low sun observations with those derived from high sun. They were divided into two classes, one of which comprised the faint lines of intensity 1 to 3, and the other the darker lines. 1710 faint lines show an average difference of 0074 A.U. and + 0:007 systematic difference, whereas 1215 well-defined lines give respectively 0°048 A.U. and + 0-001 A.U. Supposing the low sun observations to be twice as numerous as those made at medium altitudes, we find the probable error of one definite wave-length r = +0021 AU. for intensity <4 r = +0014 AU. for intensity S4. There is an increase of 1 in the last decimal, if the mean of the observations in low and high sun are considered equally accurate. The greater probable error of the fainter lines is sufficiently explained by the smaller number of observations on which each wave-length rests, and the greater difficulty in perceiving them. From the preceding examination we gather that there is no systematic difference either between the observations on opposite sides of the normal or between those made at medium altitudes and near the horizon. The probable error of one definite wave-length may be considered to amount on an average to + 0-02 A.U., if the line has been observed about six times. There will be lines, of course, which may turn out to deviate considerably more than this from the true value, in spite of having been frequently observed. But this will not surprise anybody who has ever compared the difference of two independent series of results with the probable errors as given by their authors. The probable error is not so small as to render it worth while to correct the morning and evening observations for the displacement of the lines due to the rotation of the earth. For the latitude of Dun Echt the maximum effect is about 0:005 A.U. The displacement produced by the eccentricity of the earth’s orbit can also be neglected, although it amounts to about 0°01 A.U. at the time of the equinoxes. 126 DR L. BECKER ON THE SOLAR SPECTRUM. The probable error of the estimations of intensity of blackness was derived from those regions where no telluric lines were found. High and low sun observations were treated separately. The number of instances was counted in which the estimated intensity was the same as the final mean value expressed in whole numbers. The same was done for all the observations that deviated + 1, + 2, &c., classes from the average. The results are found in the following table :-— TasE III. High Sun. Low Sun. Region of Spectrum, Ain 10-&mm, . 5 : . | 566-552 | 588-511 | 497-486 | 566-552 | 538-511 | 497-486 Number of single observations, : 830 1844 710 1501 2855 1006 Number of observations in 100 of intensity ‘equal mean 71°5 71°6 72°8 63°8 61°7 61°0 5 a is equal mean + 1 28°0 27°9 26°6 34°6 36°6 36'5 He a equal mean + 2 0°5 0°5 0°6 1°5 1°5 2°1 equal mean + 3 ot 500 a 01 0:2 0°4 Probable error of one estimation of intensity, . ; 0°25 0°25 0°24 0°32 +0°33 0°35 If it is borne in mind that the intensity-scale progresses by whole numbers, it is evident that the high sun estimations are as accurate as the scale allows. The low sun estimations are a little inferior to them in point of accuracy, as would be expected from the great variations in the intensity of the continuous spectrum. We further compared the mean intensity as observed in low sun with that in high sun observations. All the limes which were darker in low sun than in high sun were counted, and the average difference between their intensities computed. The same was repeated with those which appeared feebler in low sun, and with those of equal intensities at both altitudes. The lines were divided into two classes, one comprising those fainter than 8, and the other the darker lines. Close double lines were excluded unless they had been separated on all occasions. The spectrum was divided into zones to show the changes in the regions where telluric lines are numerous. TasBLE LV. DIFFERENCE OF INTENSITIES OF Low anD HicH SuN OBSERVATIONS. “B06 “5 06 | Region of Spectrum, | = V a ; / Ain 10-6 mm. 23| n Ai n Ai n Ai || Sa) n | a¢ mn | dt n Ai | Es Bs ae! oe ll —— ao CI coo ——— 566-552 322 30 +0°5| 30 0 40 -0°5 26 40 +03} 10 0 50 —0°5 | 535-524 258 34 +0°6 33 0 33 -0°5 38 82 +0°5| 27 0 41 -07 524-512 246 33 +0°5| 35 0 31 -—0'5 61 54 +04} 15 0 31 -—0°6 | es 500-486 231 18 +0°4| 27 0 55 -0°6 50 40 +0°6| 20 0 40 —0°5 = 2 602-590 291 82 +2°6 8 0 10 -1'1 10 A 40 0 60 —1°'6 } me ( 590-578 361 69 +1°7 12 0 19 —0°'8 4 25 +0°1 Ese me 75 -0'4 o-= 4 578-566 328 72 +1°8|) 17 0 11 —0°6 19 16 +0°4/] 16 0 68 -07 | “&2= | 552-535 409 | 48 |+41:0] 20 0 32 | -o-6}|| 42 | 33 | +05] 14 0 52 | -0°6 FS (512-500 258 56 +1°5|} 15 0 29 -0°7 53 43 +0°6| 25 0 32 -0°6 DR L. BECKER ON THE SOLAR SPECTRUM, 127 In this table ~ is the number of lines in 100 that show an average difference Az between the means of the intensities in low and in high sun. The first part of the table, in which there are no telluric lines, proves that the same scale of intensity applies to both low and high sun. Only in the regions of blue-green have the lines been estimated too faint near the horizon. In the regions of telluric lines, especially in the less refrangible part, where many dark lines spring up in low altitudes, the solar lines are estimated much too faint ina low sun. The reason for this may be traced to the effect of contrast. This difference, however, simply emphasizes the lines produced by atmospheric absorption. 8. THe TeLLuRic LINES. A great many of the telluric lines could be designated immediately, while others presented much difficulty. The faint lines of the two lowest classes of intensity naturally gave the most trouble; at high altitudes they were easily overlooked in the strong light of the continuous spectrum, while near the horizon they might be easy objects under favourable conditions of the sky. In these instances we were guided in our decision by the behaviour of other faint lines of undoubted solar origin. In order to avoid mistakes this part of the work was repeated several times. Of course, im a region where many telluric lines occur, there is a tendency to ascribe lines to atmospheric absorption which in other places would pass as solar. For this reason the sheets on which the observations were entered were taken at random, when being examined respecting the origin of the lines. Due regard was also paid to the mass of air the light had to passthrough. Throughout we endeavoured to reduce the intensity of the telluric lines to a uniform depth of atmosphere, at least in the same spectral region. In the yellow they correspond to about 89°, and in the green to 88°°3 zenith-distance for an average amount of water-vapour. With few exceptions all the telluric lines thus picked out were found to be arranged in three bands, the first with 678 lines stretching from ’ = 6020 to 5666 A.U., the second from A=5530 to 5386 A.U., with 106 lines, and the third from A4=5111 to 4981 A.U,, with 116 lines. One would think that telluric lines which are of equal intensity in the same part of the spectrum at medium altitudes of the sun would behave alike, if the absorption be increased. This, however, does not happen as a rule. In the following table the horizontal rows show the number of telluric lines of a given intensity in any part of the spectrum at medium altitudes, while the vertical column in which the number stands indicates the intensity of the same lines, when seen near the horizon. E.g., from the second row of the table we see that with high sun there are 14 lines in A= 602 to 584 of an intensity =1, which assume an intensity of 6 near the horizon. Lines that are not visible in a medium sun are ranged in the row of intensity =0. 128 DR L, BECKER ON THE SOLAR SPECTRUM. TABLE V. Region of Spectrum, A in 10-8 mm. Intensity near Horizon. Intensity at Medium Altitudes 602 to 584 0 1 2 3 4 5 6 7 8 584 to 578 0 3 8 9 3 fe aoe 1 4 7 14 5 1 at 2 if 29 4 2 are oc 3 ae 4 3 2 Hie 4 bE 1 us 1 as 6 oa 2 578 to 572 0 4 5 i! 1 3 aCe arte I 4] 16 10 4 mH 3 ee 2 2 6 12 8 6 6 5 4 3 6 u mA Sata 2 1 5 2 oe 6 3 ane it 1 572 to 566 0 4 6 1 2 it 2 1 I 5 7 5 2 sb 2 2 4 4 6 1 1 9) 2 3 Bde 2 at 1 2 4 ae Ae Fe L es 5 : ae 6 553 to 538 0 3 5 6 1 oS 1 1 ‘) 7 3 1 1 2 11 18 8 5 4 1 3 1 6 1 1 2 1 4 bie 3 3 2 5 a 2 511 to 498 0 2 4 6 3 1 1 1 1 5 6 5 2 1 1 se 2 5 9 12 9 3 1 1 3 ae 4 7 6 1 5 se 4 He. 1 as wes 2 1 5 aint 1 2 i 6 it 1 7 Les 1 8 : oA 9 Y DR L, BECKER ON THE SOLAR SPECTRUM. 129 At a glance it is apparent, that lines of equal intensity at medium altitudes increase differently in blackness as the sun approaches the horizon. If to each class of intensity at medium altitude we ascribe that intensity near the horizon, which is shown by the maximum number of lines in the preceding table, we obtain the values entered in the following table, where two numbers are given whenever the lines are clustered about two maxima :— TaBLE VI. Intensity near Horizon. ho cesnuystiige ali, Wlebiagan, =n i a rR Altitudes. Wave-Length | Wave-Length | Wave-Length | Wave-Length | Wave-Length | Wave-Length 602 to 584. 584 to 578. 578 to 572. 572 to 566. 553 to 588. 511 to 498. 0 4°5 3°5 2°5 6 35 6 3°5 4:5 1 5 4 3°5 7 4 a 3°5 4:5 2 6 4 4 8 4:5 8 4 5 3 8 5 4 oe = 9 a 5 4 9°5 a8 ae Ke AA. 5 il 6 12 From the fact that every class of intensity has a range of 0:5 we shall show, that, for some of the regions, the values given in this table explain the different behaviour of lines of the same intensity at medium altitudes as exhibited in the Table V. Recion A=G020 to 5840.—Since intensity “3” for instance ranges from intensity 2°5 to 3°5, the preceding table shows that lines between 2°5 to 3°5 at medium altitudes give an intensity between 7 and 9 near the horizon. This range further increases to 6°5 and 9°5 on account of the extent of each class of intensity. Without, therefore, admitting any error in the estimations of intensity, we find thus, that lies of intensity “3” at medium altitudes may increase near the horizon to any intensity between 6°5 and 9°5. According to Table V., at least 47 lines out of 65 fulfil this con- dition. But there are errors in the adopted intensities which will increase this range considerably. We have to bear in mind that the single estimations of intensity of the telluric lines vary with the altitude of the sun, and in this region, as we may anticipate, with the amount of water-vapour, and that the adopted intensities are chosen to cor- respond to a uniform altitude of the sun and an average amount of water-vapour. These reductions entail, of course, a considerably larger error than is met with for the solar lines (comp. Table III.). If it be permissible, therefore, to ascribe to every class of intensity a range of +1 instead of +0°5 in high sun as well as in low sun, we find, by analogous reasoning, that lines of adopted intensity “3” at high sun should develope near the horizon into lines of intensity 5 to 10°5, with the restriction that the number of lines of each class within this range increases towards the middle of the range. With this extension of our scale there are but 3 lines left out of 65, of which the intensity at low sun falls beyond this range. Two of these three alter but one class of intensity near the horizon, and one as much as eight classes. With regard to 130 DR L. BECKER ON THE SOLAR SPECTRUM. the former it may be supposed that they are solar lines on which fainter telluric lines are superposed. Also, the great change in intensity of the one line may be accounted for by the table. By comparing the intensities of many close double lines with the intensities observed when they were not separated, we deduced that two close faint lines combined appeared hardly one class of intensity darker than the components, while two close dark lines produced the effect of a line two classes darker in intensity than its components. In this particular case the line “ 3” ought to consist at least of 4 lines of intensity “2,” in order to present at low sun the appearance of a line of intensity 11. Ifthe probability of this explanation is not conceded, one is obliged to assume that the absorption produced by one and the same medium in the same part of the spectrum need not necessarily obey the same law. ‘Treating all the other classes of intensity in the same way, we find amongst 376 telluric lines, 23 superposed on solar lines and 12 close multiple lines. These numbers will increase if the range of each class be diminished. We have to draw attention to one particular telluric line, which, invisible at medium altitudes of the sun, comes into existence as one of the broadest lines of the spectrum, on the less refrangible side of D,, when the sun is near the horizon. At an altitude of about 6° it appears just as broad and of the same intensity as its great solar companion, Besides the observations given below, we found the D,-line double on 12 occasions from June 14, 1887, to August 15, 1888, the sun being at an average altitude of 6 degrees. On July 19, 1888, this appearance was confirmed in the third spectrum under a higher magnifying power of the viewing telescope. Further to the less refrangible side, another line of the intensity ‘‘ 4” was observed close to it on three of these days. When the sun approached the horizon both lines broadened and formed one dark band with D,. Now D,,is one of those broad solar lines whose intensity of blackness is below that of a telluric line of the same breadth. If, therefore, the telluric companion at a certain altitude showed the same intensity and breadth as D,, we might explain its appearance by supposing the telluric line produced by a set of very close atmospheric lines of less intensity. In the next region, \= 5840 to 5780, we meet with faint telluric lines of different behaviour. In a high sun they are hardly perceptible, while near the horizon their intensity is increased only two or three classes of the scale. The changes in their intensity may be explained by Table VI. in the same manner as before. This band appears to be continued in the following region, \=5'780 to 5720, although there are some lines to be found which suffer a much greater absorption. On account of the small changes in the intensity of most of the lines it seems improbable that the lines which alter up to nine classes of intensity are produced by bands of lines. We rather believe them to be due to the action of another medium. Under this supposition we represent the changes of intensity, as exhibited by Table V., by two sets of intensities in Table VI. Both classes of lines are continued within the region A\=5720 to 5660; the number of the faint telluric lines has however decreased, while the darker ones are still as numerous as before. DR L. BECKER ON THE SOLAR SPECTRUM. 131 About the two isolated bands, \=5588 to 5886 and A\=5111 to 4981, we could not arrive at a satisfactory conclusion. Certainly, most of the lines can be brought into agreement with the values given in the table on p. 93, but some would still remain liable to a far greater absorption. Perhaps the values given in that table for the intensity at low sun may have to be increased, and many further coincidences of telluric and solar lines admitted. From the foregoing examination we come to the conclusion that the telluric lines from X=6020 to 5660 can be arranged in three bands, and that all the lines of the same band are probably due to the same absorptive medium. There is no doubt left by our observations that most of the lines of the first band, A=6020 to 5840, originate in a variable constituent of our atmosphere. That this constituent is water-vapour was established long ago by M. Janssen. The band is univer- sally known as the rain-band. Our observations ascribe also the darker lines of the third band, X= 5780 to 5660, to the absorption of a variable element, whereas the origin of the group of faint lines which form the second band and overlap the third cannot be deduced from our observations alone. On the refrangible side of the raim-band BrewsrsEr’s' map contains a very dark band, which he calls 6, and which is very probably identical with our third band. He gives the following description of it:—“..... it is one of the most characteristic features of the prismatic image of the light that has passed through a long space of air. It is discernible in the diffuse hght of a dull day at any hour; it is that which Professor W. A. MILLER observed manifesting itself on the occasion of a thunder shower, ’ and it becomes evident in the direct solar rays when the luminary is several degrees above the horizon: .... . and when the sun is just setting, it becomes a broad space of almost total darkness. It appears to cover a larger amount of the image in the direction of #, asit deepens in shade. .... . There seems to be a difference in the visibility of these bands at different times, .... . thus on October 29, 1837, at Allerly, near Melrose, at the instant of sunset the luminous sky gave a spectrum in which C6 (= < ), though distinctly seen, was not black, nor was D, nor 0, while the line B was very broad and deep... . . and until the twilight had gone, the forementioned bands, usually so prominent, did not appear either black or white. On October 31, again, the atmospheric lines were not so dark as usual, while the rays beyond C10 (=rain-band) had evidently suffered a considerable absorption, ... . . but that the phenomena did not depend on either the absence or presence of humidity in the atmosphere, is evident from the fact that on the earlier date there was a keen frost, while on the later day the weather was wet, the thermometer being 38° F...... That moisture has some influence in the production of these bands, is shown by the effect of a fog on the solar radiations; thus on November 20, 1858, at 10 o’clock a.m., at London, the sun loomed red through a mist, and a prismatic analysis of its light showed a and B with extreme distinctness, and the characteristic C (6), 6, and 7.” 1 Phil. Trans., vol. 150, 1860, p. 154, London, 1861. 2 Phil. Mag., August 1845, p. 85. VOL. XXXVI. PART I. (NO. 6). Y 132 DR L. BECKER ON THE SOLAR SPECTRUM. Considering that there is a strong water-vapour band close to the oxygen band B, Sir Davin BrewstEr’s description appears to us consistent with the assumption of water-vapour being the cause of the 0-band. Also, his observations on October 31 are not adverse to this hypothesis, because the atmospheric lines, which did not appear so dark as usual, include, besides 0, other water-vapour bands in the red end of the spectrum. That at the same time the rain-band had suffered a considerable absorption cannot be considered an argument against this view, if we compare the number of dark lines in the rain-band and d-band in Table V. Brewsrer’s description as well as our interpretation are ap- parently in opposition to the observations of AnasTrém, ! who says :—“ Outre les trois groupes de raies situés pres de A, B et a, il existe, & gauche de D, une bande d’absorption, toujours visible dans le spectre du ciel pur. Cette bande s’étend de 5681 & 5812 a peu pres, et, d’aprés Brewster, je la désignerai dans la suite par la lettre 0. Des que cette bande commence & se montrer dans le spectre solaire, on peut la résoudre en raies tres-fines ; mais au coucher du soleil, les raies, en se joignant, forment une bande obscure et continue. Or, puisque lapparence de cette bande ne change pas avec les circonstances desquelles dépend lintensité des raies d’absorption dues & la vapeur d’eau, l’origine en doit étre attribuée & une cause toute différente. ... . Pour expliquer l’origine des bandes A, B, a et 4, qui sont tres-constantes et ne dépendent pas sensiblement des variations de la température de l’air, il faut recourir 4 d’autres corps gazeux moins variables en tension que la vapeur eau.” We can only reconcile ANcsrrém’s view with Brewsrer’s description and our own observations by supposing the fainter lines within the ¢ band to be produced by dry-gas absorption. Certainly these closely set lines present a sufficiently striking appearance, if viewed in a spectroscope like Angstrém’s, as may be concluded from the extent he gives to the 0-band towards the red. Besides, little water-vapour would sutiice to make the region from \=5710 to 5680, which contains so many conspicuous solar lines, appear dark in a low sun. This hypothesis is supported by some experiments that M. Janssen” has made on the absorption produced by oxygen. By employing tubes of different lengths filled with oxygen under different pressures, M. JANSSEN discovered that several absorption bands begin to appear in a tube 60 métres in length charged with oxygen under a pressure of 6 atmospheres, and that the same effect is produced if the length of the tube be altered inversely as the square of the density. Thus he finds that the oxygen of one of these tubes is equivalent to a column of oxygen 2160 métres long under the pressure of 1 atmosphere. But since the oxygen of our atmosphere in the zenith equals only 172 métres at normal. pressure, M. Janssen concludes that the absence of these bands in the solar spectrum at considerable altitudes of the sun is fully explained. ‘The figures given in Chapter 6 prove that at zenith-distances larger than 86° the band should be visible in a spectroscope of the power M. Janssen employed. Most of our observations fulfil this con- 1 Recherches sur le spectre solaire, p. 40. * Vierteljahrsschrift der astronomischen Gesellschaft, 25 Jahrg., 1 Heft. Leipzig, 1890. i ae — = ~ = — ° —— DR LL. BECKER ON THE SOLAR SPECTRUM. 133 dition, some of them referring to a column of oxygen even three times as long as M. JANSSEN demands. There are, however, many faint telluric lines within the space \=580 to 572 which are visible at medium altitudes, when the atmosphere traversed equals only one- fifth of the length M. JANssEN considers essential for their visibility. We are inclined to believe this to be due to the excellent optical appliances at our disposal, as shown by the great number of faint lines now observed for the first time. However, there still remain numerous faint lines between this band and the rain-band, which, although of the same order of intensity as those of M. JanssEen’s oxygen-band, could hardly be grouped with them. Nor could they belong to the rain-band, a few dark lines excepted. Before beginning this work we were struck by a relation between the oscillation frequencies of the head lines of the groups A, B and a and of the region under consideration, which Professor Prazzi SmytTH named in his maps Region of ‘ Low Sun Band” of Thin and Closely-set Telluric Dry-Gas Lines. If we suppose the relation between the oscillation frequencies of A, B and « not to be accidental, we should expect an oxygen-band to end at \ = 5788 A.U., or very near to the place where M. JanssEy’s band begins. This supposed oxygen band could not be identical with the latter, because, according to M. Janssen, the A, B and a groups increase proportionally to the first power of the density. Now our observations give a band of closely-set lines, which ends at ’ = 5788, and which does not at all present the general aspect of the water-vapour bands. It still remains an open question whether this is the result of a fortuitous coincidence, or is due to some unknown law. The two isolated groups of lines from \ = 5588 to 5386 and from 5111 to 4981 are produced by a variable element of our atmosphere. We conclude this from the behaviour of the darker lines only. We have now to draw attention to a remarkable relation among the oscillation fre- quencies which correspond to the middle of the water-vapour groups. Attributing the two isolated groups of lines in the green and green-blue to the absorption of water-vapour, we obtain the following values of 1, each being the mean of +> of the first and last prominent lines of each band. The values of the inverted wave-lengths of the water-vapour bands in the red end of the spectrum have been taken from Professor SmyrTn’s maps and my ewn observations in 1889. ~ No. of Band. os aS : ‘ ‘ : ; : : . 1380 1 Water-vapour group near B, : : . (1434) 2 ” >; Pee MIeAINO. : : 5 Laos 3 Rain-band, ; i : : , : . 1684 4 d-band, . i : : f : : . (1748) 5 Water-vapour group \ =5538 to 5386 (¢),. . 1833 6 5 Z » A=5111 to 4981 (),. . 1978 7 The inverted wave-lengths of the first, third, fourth, sixth, and seventh bands form very 134 DR L. BECKER ON THE SOLAR SPECTRUM. nearly an arithmetical progression which could easily be made perfect without moving appreciably from the middle of each band. The first, third, and fifth of this series are the strongest in their respective parts of the spectrum. It will be interesting to see if the water-vapour bands beyond F' fit into the series given above. Possibly they may also give some information about the water-vapour group near B and the d-band.! Outside the groups mentioned but few telluric lines have been picked out, although the work has been done without knowing where telluric lines would occur. In fact, previous maps were only consulted after our charts were drawn. We close this chapter by alluding to the faintness of the more refrangible part of the spectrum in the low sun. According to our observations this dulling of the continuous spectrum is independent of the intensities of the water-vapour lines between b and F, but varies with the transparency of the air. We therefore conclude that its variable part is produced by condensed water-vapour. CATALOGUE OF LINES.’ The first column contains the oscillation frequencies which are identified with the reciprocal values of the wave-lengths. The wave-lengths are given in the fourth column in Anestrom’s units, of which there are 10 millions in a millimetre. The second column gives the adopted intensities of blackness of the solar and telluric limes as they would appear at medium altitudes of the sun for an average amount of water-vapour (elastic force of vapour = 0°5 inch). The third column shows the intensities of the telluric lines only, when the sun is at an apparent altitude of 1° to 2°. Unless both components of double lines were measured repeatedly, the line has been entered as single with the letter d affixed to the intensity. The letter b means band. It stands either between two lines which form the borders of the band or it is affixed to the intensity, in order to show that the line is broader than its intensity alone would lead one to expect. The intensity of the light between two lines is signified by the letter 2 before the figure giving the intensity. Lines which have been only once observed are considered to be doubtful and are marked therefore with ?, unless they are of the lowest intensity (1). The same notations are employed with the telluric lines in column 3. In this column the sign ? is intended to show that the telluric character of the line is open to some doubt, whereas the same notation enclosed in brackets is chosen to express the bare possibility that the line is teliuric. The columns from 5 onwards comprise the original observations of intensity in full, without any corrections whatever,—first those made at medium altitudes, and then those at low altitudes of the sun. Each column is headed by the number of the series, which ranges from 1 to 13 in high sun, and from 1 to 73 in low sun. They enable the reader to find 1 M. THOLLON’s maps, which we have just received (see Postscript), give water-vapour lines in the #-group, the middie of the band being in 2 =1586. Each of the first three bands of the series is thus followed by a group of lines which are fainter than the bands themselves. * The Catalogue begins on p. 48. DR L. BECKER ON THE SOLAR SPECTRUM. 135 the time and meteorological notes by the Tables I. and Ia. The second line of figures in the heading gives the elastic force of vapour in units of 0°01 inch, while the third line shows the column of atmosphere (f,) traversed by the light in units of that in the zenith (comp. p. 86); f; may be interpolated from the table on p. 86 with argument 7. The notations d, b, i have the same meaning as above. B and EF indicate the beginning and end of a series. Although the printing of the single observations of intensity demands much addi- tional space, we trust that this will be compensated by the advantage they will afford in later investigations. They may serve as a check on the values adopted, and enable spectroscopists to consult the intensities of lines suspected to be of telluric origin. Table VII., on p. 100, may give an idea of the distribution of the lines with regard to their intensity in different parts of the spectrum. THE Maps. The maps are the graphical reproduction of the first three columns of the Catalogue, and they are only intended to facilitate the identification of the lines with those given in other maps. ‘The main object of our work was the identification of the telluric lines, which could only be done efficaciously when observing the sun close to the horizon. Rapid observing was necessary ; we therefore dispensed with noting the definition of the edges of lines and the various degrees of paleness in lines of the same breadth, &c. Of the two spectra the top one refers to the second column of the Catalogue, and the lower one to the third column. ‘The scale is in terms of oscillation frequencies Gy but for the convenience of comparing with other maps the positions of the full wave-lengths expressed in 10° mm. are marked by a dot. The intensities of the lines are represented by the breadth of the lines only, with the exception of the two lowest classes of the scale, which are distinguished from intensity 3 by the length of the lines. In choosing the breadth for the different classes we were guided by the distance of close double lines. The notes below the spectra are a reproduction of those given in the Catalogue. Lines of possibly telluric origin are not mapped in the lower spectrum but their intensity is stated below the telluric spectrum. Double lines which have been once separated are mapped as single, and their distance is stated at the foot of the line in units of the distance between the lines of the scale; thus d.3 stands for a double line whose components are 0°3 of the interval of the lines of the scale apart. POSTSCRIPT. This memoir was on the point of being presented to the Royal Society of Edinburgh when we received the third volume of the Nice Observations,’ with the late M. THoLLon’s 1 The maps have been reproduced by photo-lithography, and are about one-fourth of the size of the original drawings. It will be noticed that the faintest lines are far from continuous in the lithographs, but as it was found impracticable to make good this defect without altering the breadth of the lines, they are left untouched. 2 Paris, 1890. ‘apeos AqIsuequt INO JO sse[d pIg OY} 0} UMOP se0S (Fg) HLANY IZzZVIg Jossojorg oIyM ‘F AzIsuojUL Jo asoyy poppe Avy (ZQgT) ZTAMIA “J put (OST) TAD0A Jossofoig ‘sprvadn g AyIsuojUL MOIJ saUT] OY} UIeJUOD (QggT) Sdeu SWOUISHNY ‘o[qVy, SIG} UL poder, oq osye Avur edoososyoods oy Jo yuomdopeaep ey, LI OOL | 6-02 OO- | ~~ OOL | &-F OOL | L-€% OOT | 9-0 OOL | €-67 OOT | 6-99 OOT | &-Ge OOT | F190 | aon ae at $a Pa om Ess eis ae 8 it: a8 — | 7.9 A €0.0 FI | - A 2.0 a An : Ohh as =e fee . ahs ae : | eo. eT | mae : ete ae Pp | acs S eee 8-1 . 1-0 oe €.0 Py 6-0 Fy 1-0 . G-0 eee . . . eee G.0 Il 4 es ES | et LOT | ee -| oT G.Z + | 9.9 “ee é | 29 sl eT OL | =5 eA “" | 6G G0 | 6-47 SN TS Pte 9G “ |) 9T GG ie Gal oA JO) €0-0] €-G 6 5% AY nes M | so S45 pa fe sf - ¥ 29 < G 0} 82 P-9 6-¢ LG €-G €-G F-0 | €-@ 10 | GP 8 f Soe = 6 GO| Fg We (yy ee |S : 9-¢ “| OF GO | 9:6 1-0 | 8-6 GO| IL-F L B os Rn 6 7-0) L€ fay OE a L-9 ‘ahah |e Gaaecsg, G-0 | 84 LT | L& ¥0 | LY 9 E: Ss & Bo by | pS a 8 10 | 0-6 “ ) 66 0-2 F0 | 9G & 8-G €-0 | OF 1G | €8 LI | 0-4 G = ‘a a 6 1:0 | 8&1 | BST “1 96 8-I | O€T te | O43} L-0 | 1G 0-6 | 0O-OL |6-1 | €-0L V | 5S ‘S) ‘SI LP? | 2-61 “| $16 !0-L] 1-66 {2-6 ; GST a L6L |6-€ | 9:6 €-Il] €SL |9-¢ | GLI € a B ps | 2, & ie 16 16:9 | L1G : €-G6 |G1T| G86 |G-OT]) 9-86 |€0] 628 |2-61) 0-0F |8-L1) Lee |2-8 } G-O€ G | a} G G-¢ | 16 eens 9-L. |} OIL |2% |] FEL | | OGL |€-GI] 0O€@ 18-6] 0-GT |F-G] GET I {aa} 0 Lé |] Lé nf -; 1-0 | 1-0 9€ | 9-€ €-0 | €0 1-8) 18 8-6 | 8:6 LP | LY 0 J 4 a LLG a. PLG D 8GE ree 8GP ae LY ai 96¢ a €19 a PLG eg LEME ‘soul] JO ToquIMU [eyo], “T194 | Tl°4+ “TOS “1194 } TL} + “[08} “1194 | “1194+ *[0S} “1194 | 1124+ “[OS) *[19F |"119} + “1OS| *[1°F | 1194+ “LOS} “1199 | “1199+ “[O8} “[[99 | *T19}+ “10s) “T1899 | 1194 + “Tos nin UL ‘uinrjoads Jo woly10g 98h ° L6P L6F 04 STS GIG 0% Gag GZS 0} 6&9 6EG 07 Egg €9¢ 07 99¢ 999 9} 78g P8g OF S09 98F °F £09 ‘WOULOdY AHL fO SLAVd INHUAddIq] AHL NI ALISNALIN]T YIGHL OL GUVOHU HLIM SHNIT dO NOILAATULSIG— TTA WAV], 136 DR L. BECKER ON THE SOLAR SPECTRUM. 137 work on the solar spectrum. It comprises the whole region from A to b, and gives the solar lines as well as the water-vapour and dry-gas lines. M. THotion has observed (in the years 1883 to 1887?) not only the positions and intensities of the lines but also their breadth in various altitudes of the sun. They are reduced to four states. The first refers to a zenith-distance of the sun of 80° when the air contains little water-vapour; the second and third correspond to a zenith-distance of 60° when the ar is either almost saturated with water-vapour or very dry the fourth gives the solar lines only. The charts are drawn by M. THottoy, and are really a work of art. As the observations are not reduced to wave-lengths we could not compare the positions of the lines with our own, but to judge from the maps the agreement appears to be very close in all the parts compared. M. THouton finds the same groups of water-vapour lines as we have given above. ‘There are, however, some telluric lines which our observations do not attribute to atmospheric absorption, as for instance lines between A= 5295 and 5292 AU. As to detail, we must say that the RowLanp grating, combined with the large collimator and viewing telescope, has proved its superiority over a prismatic train. M. THoLLoN employed a spectroscope with a set of bisulphide of carbon prisms. ‘The telluric lines are also more numerous in our observations. ‘This we are inclined to attribute to the great depth of atmosphere in which our observations were obtained. This is shown by the following summary :— Number of Solar and Number of Telluric Telluric Lines. Lines. Portion of the Spectrum. Thollon. Becker. Thollon.1 Becker. 6020-5840 456 574 326 376 Rain-band 5840-5780 23 109 \ gS d hand 5780-5720 370 613 66 117 f ET an ae 5720-5660 44 76 Water-vapour band 6. 5660-5530 246 396 1 2 5530-5390 314 447 46 106 Water-vapour band ¢. 5390-5250 328 428 9 19 5250-5167 178 272 OU! CUA A. my 8A DOOPAD AD PRO! Pit PPR ce; PP? NAQARWO : an CO o>: —=—— > DWM © : —— WPS a fooy Ci KSC as 10 Low Sun. 4 6a 59 31 9 9 8 8 5 ai 4 4 4 3 5 4 8 6 nee 2 1 3 4 5 3 ae, 1 a ons 2 il ete 1 2 4 3 6 4 8 6 4 6 8 6 6 5 i 7 1 i 6 5 5 2 ae 9 8 3 2 7 oo: CS FPWNMOewoanN WO KH KROOK © DD He HR co: 139 A (SCP 140 DR L. BECKER ON THE SOLAR SPECTRUM. ey "High Sun. Low Sun. Ba! 2 Ose, Freq. | 3-3 22 d x 1| 8c | 12a 1 2 8a 4 5a 6a 48 56 ae| 258 47) 58;) 47 48 WEB be | eo | 2B |) etsy aes 24/8 om 12} 14] 22{ 20 | 48 weal’ a0-|" “aaale aon esa aumew 0) 4 167084 |...| 8 | 5985-00]... | ... | ... 6 7 087 | 8| ... 490 9] 8| 8 ; a oes { 6 ae igo eek ‘ 7 101} 3] 7 sai | 3) 2 a) eee ra ieee 3 |. 5 au 106] 2] 6 £004... | 9) ee pea 4 eee pe 5 re aon wee 387| 8| 8| 8]. 4 3 7 8 6 6 125 | 2| 7 355) 1| 2] Sb 20 ea 3 2° | 2. ee 140| 2) 6 3-00||..2 | 3), 240) Sane 4 3 4 lear 155 | 2! 5 D472 | 84 eh os 2 3 3 ‘lee 164] 2] 8 Blea | Die oe 4 4 3 5 eis L7b ve) 27 1°80 isch 20) Ob eee 4 3 4 7 185| 3| 9 140] 3| 3| 3] 7 4 ea es 5 6 8 W7lai |) 4 0-96) 2 | 2) Ac ik ee Aadly se 2 4 ae 2041 41) 6 O7Ollo it kel Olen ean ee Beal ae 3 4 Ome 216) 3) 8 | 698081]. 8:) 3) 3) \eaneene.. ie 5 6 8 296 |... | 49] 5979-93] ... P| GMM ee Si cee |) tte NPB 2 4 232 | 2]... STO Lt Sil Clee wee ol 1! | oo 248 |...|° 5 Dole lcs | elem lt. Sen Leela 3 | oe 250| 2] 6 SOS | 20) 2 Rte a a 2 4 6 262| 5 |... 8-64), Bc. Bal bol ae are ep a 6 3 3 Bio ed |) % B18 || Fe n,|\ccdlt el Reet Ne Re Breall ha.c | Te hee 4 5 282] 4] 19 794] 5| 4) 4] 9 | 10 7 9 6 nel ALO 12 293| 3] 8 755) 3| 3| Blue 4 6 2 A a 8 304| 5 | 19 Tia. 5 | 5.) Gi hatieeeere 7 9 8 8 li ie 310| 7| 107] 694i-7] 817] . re 6 Balen 8: | 7 anil Sigaieal) ee eee 6 | 3) all 6 Ce ee 4 6 7 8 335 | 2| 7 G04) 31.2) 2 aera 2 6 2 ‘nee 7 Bebe ill B76||... |... | 2 ede. | ok | ele 350.1061 oa 5511 7/ 6| 6 < 6 eras ea es 5 356 | 5| 12 527] 6) 5| 5| 9 | 8 9 9 3 | 41 ie ST tly AVE sit) ott | 2A 2. co Oh |. er 381| 3] 8 440], 2|/ 3| 3] 7 4 6 deal oe 6 8 400| 2| 4 379 1| 21 2} .. Ace Pee ee 3 4 2204) adh ete Pop) ia) 2 ie elt. CMa ae 3 5 6 496))2.. | (394 Loge obo) |) fee ve 3 ‘| nhl) kel nn 498| 2| 5 omit) | Sale 2 gb g 2 4 5 441| 2 905 \|...|° | fe paaltd-t ie ees 3 | 457 | 2] ... 1:68] 7:1 ¢2| ee a ue 461| 5] 11 153| 6] 6) BES io 8 9 8 8 | 11 lem 465| 2] ... 140-0 | 480 | 2 0:87 2| 2 Shier: PA) sono oe] Ciel 2 | 4 | 8 oe re ie a O41 | ..c} 00) 2a 4 ae . 497 | 5| 10 | 597024] 6| 5| 5) 8 9 7 8 7 7 | 8 | M0 509| 3] ... | 5969-83] 29] 3] 2] . & a: 3 3 525 | 4] 10 9941 5| 4| 4) 8 7 7 8 6 7 |.8 | ae BATA Ah SB 64d. |: TEE ca Wes. ws si. 547| 3] 19 8-49 3) | Gay eauentmn 8. 1g 9 7 | 11 dame BB: PB) 8:32 br 15 6 1 et ar oe 4 | 25 564] 5] 11 87) 6) &| DY F 7 8 9 \ 167570 | 4| 10 | 5967-66) 4| 4| 41 7 } 10 { 6 } hy { 6 | 6 |i DR L. BECKER ON THE SOLAR SPECTRUM. 141 ae High Sun. Low Sun. see Ose. Freq. | 3% ees r 1 8c | 12a 1 Daleocs 4| 5a| 6a 8 | 24] 48] 56d | 57a ae Zo5 47| 58| 47| 48| 53| 53| 59] 25| 31] 34] 27] 37] 38] 42 aq |e eo 12/14/21] 18] 14] 8] 11] 12] 10| 21/ 26] 17] 32] 34 ©) Ra| le7s7s | 3 | 7 | 5967-39] 3/ 3|/ 3) 6/...] 4| 6| 3! 4]. 6| 7 es)... |. 34 Teun lest ..| 5... eee eee he 3h hee baa) 5 | 10 eetlae pel 5) 8 Zim eae? 8 | 10 606 | 3 100 { Hee iz 3/ 3] 8 Cah G ia y 10 Gale 6. |. Bam iG St 5°) 8 if meee ay Be eel 2 |. 4 Bowie cl |b |... | eee Ne ld 643/ 3 | 8 Bool so) 3t 7 | 4 Sie Ou Bt & eles com) 7... 4-77 || ... 5 4 ot DI. Bi | 4 3-98 2 fn... Pane fom) 2) | 6 371||...| 2] 2 3 ibeaeelhto 2] 5 Bel 9 | 4 330 1| 2! 2 Ree tee 3] 4 Bel 2) !... 3-09]... | 2] 2 eee ed ees able mit). 4'}t0 es) 4c ih 4 | 7 1) | | Cee eeeeeutus 8 | 10 “ig? i | 6 23 elo 1 | \4:\ cof ele ee eeerS 4| 6 waa |- 1. | 6 regi 2 |...) 1 woo Kapa eel A a 3| 5 740| 3 | 8 ing) 34) al 3) 6) 6| Sl ew ols 6| 8 eemeeei(ey | O82) | 32)... | a | eb Rohe bee 2] 3 W4a| ...-| 24 0-38 Per. - a Thee go) 3 | § | 596013) 3) 3| 3) 6| 7| 6] 7) 5) 6 8| 9 790| 2 | 5 | 5959-84/ 2| 3| 2] 4 2 21 5 go2| 2 | 6 939] 2] 2| 2] 5 30] GN ohh d 5| 6 g09| 2 | 6 9-14 aed eee 4 Bile: me) y| 8 Sete ht... |e | ae ee 5| 8 gig | 5 | 12 ge5 Tis) 6] 9414) @i| dah sl @ 9| 12 829 | 5a | 12 { Ses by a \s 9/E| 8] 12 8 9| 12 Ba | 5 | 19 802 7/ 5| 5] 9 s/12| 8| 8 9/12 Say... | 4) 7-95 | ... 1 ie lke, ee re ie 859 | 2 7°37 2 \s { Pe 2d { 4 2| 31 2] 3 Gs 862 | 2 7-27 2 S74) 7 | ... 636|| 8| 7| 7 6 876 81 6-76 || ... es \s 1 hs : Se Hee) 4 | 9 Gon 4) 4 4) 8 7/8 6 g| 9 991; 2 | 6 5901 1/ 3| 3] 4 a] 5 3 41) 5 Si6)| 1°)... 5-37 Aol 2 Oe Pe ee “ alee 993| 5 | 11 510i 6] 5| 51 9 Bl Oi 8) 8 10 | i1 937| 29 | 6 ete oh oh 2 | 1] 4] 2] 2 oy 4 io) 2 | ... yet |e eh odo ae Sal ed lead oe Oa 98 | ... | 32 Bee et ewes | oe. i LS 5 lhe Bap) 9 | 8 361 3|/ 2] 2] 4 Ps ey eae 51 8 a5) 6 |... 398 6| 6 | 51-3 4 SER IB 4] 3 985| 7 | ... 291] 71 71 7/1 6 167988 | ... | 8 Set ah tole. | \ oe pea a IS Ba 8a 168000 | 2 |... Slee 9 \0... |e. & oe eae 2 aes 020/ 5 | 10 Ree oH) | 4 | (6 Boel ale 8 | 10.; 9 02 | 2 | 8 150! 1-3) 2] 5 Aisle LO) pie ig Regal ealics 7 3 | 9 105 3| 3] 3| 4 ia cnpeaees)|\ <3 | 6 | os O42) .. | 49 Cee |... |) 4 i i. 053| 4 | 10 OGIO a a) 5 Wace Glen ionlene 168057 | 2 | 8 | 5950-35] 2/ 3| 3| 5 4| 6 6) s) Bale 142 DR L. BECKER ON THE SOLAR SPECTRUM. Tian High Sun. Low Sun. Fol ine Ose, Freq. 5 g gee x 1 8c | 12a 3a 4] 5a} 6a 8| 24) 48) bye aB|EcR 47 | 58] 47 BB} bo}, 25| ,8t} 34) 27) 87 | wae a4 |e 80 12] 14] 24 Side 4s | a | Bt) se ieee © ne 168070} 4 | 11 | 594992] 4| 4] 4 A 94: pl) 8 | Te). OF) Sen 073 | 1 7 OG ad eure ae of s<\) 9 |) 26) eee \ is O6l na 5 272504 mee omar ae es oa fe 9 ih osees lc tea 08416 | 10 g-42|| 6| 6| 6 5 oss|6 | 11 9-25 6| 6| 6 paw i. °° \ 8 bia mold ns) oso 090}... | 21 Gis ie..ccae ee DM ccc |. | oetl 097 | 3 8 8-96 Bil ee Zi el 4) Blo ea 102 IS S/lieeul FSreile... yeaa Fe el aan) 4) 08) a op tee. |! 2. 67 | Sie. ol, 8 eer |S 1144/2 | 10 835| 2} 3| 2 2\ 6) 4) .5| 6) 7 197 | 2 | ... Tesi... | .. | 2 wiltce low |... | .0| ea 137 | 3 8 754) 3| 3) 38 Pi 4) 31.4) &| oi 1445/6 | 12 724| 6| 6| 6 7 9 1a 11|5 | 1 702) 5| 5| 5 7 hu 10 1 8 his 9] 10 \ 124 Teo.)..2\.4 G73 lise lis od, eee le! el 8) el 5 lh | (Rl AiG SN ale wel ee My le\ 2el s | ol 176|6 | 12 614] 6] 6| 6 9) 9| 8|. 9] 12.| a amma P60) /430)| as 6:00 I) coal cee, anes molt Vou | oo. | eel Gre 186 lids | 10 581) 4) 4| 4 7 7| +8| 7 (|) | 9mm 198 | 4 | 10 Ba0l, 4 |) sine 7 | 7) 7) 7 | 6) 910) enaeee 213|4 | 10 484| 4] 5| 4 mi 8| 81 | 8) 104) eenime 225|5 | lod| 442) 4] 5] 5 m| 8| 8| 7): 81 9) |) Semin BBD) NRL || pes, AVON sais | ste dene tlic | as |) |) OS 500),\1841| 38911 81 4) 18 Sel aes, oul 249 | 2 34] 85815 251) oalene i a tlcg aN Be ae 259 | 2 31 3-29|) ... \ 2 TR Esser | «eed oce’| cee eee! 273 |6 | 12 a7) 7 | Bal ae 7 9 i He aten Ves A Rl. i his il { : hie 14| 190] 14a dpa |g lt 8 Dbl socio ee Mee wee Bae aN as ace 186/), |; 4) 3 care ee wae. | Baa WAG 1-73 j 5'| ee 8| s| 91 91] )9 1. 10s) fommemne 512 \bo als a 133)... |. alae Pe Nt ase | dee [wont Vico rrr 316 |i | td 19) 7\° Balle 8 9 12) 3232/4 | 8 TOW || P.2! |i ocala Y hg a \ 4 } 10 g| 6 iad 330} 29] ... O70. 41h Meme ta iNiewe| wei) a. | ocel o —— 335 | 4 9 054] 5] 5) 4 6| 7} 6). 7] 8)! "on\*kennmme 342.| ..) 4 O27 lee. (iets. dae fe Novel ac | oe | et ee 349 | 3 8 | 5940-03/ 3| 4| 3 | 6| 5|. 6| | 6) on 357 | 1. | :.. || 5989-767... eel |e | 2 | ool BET |e | aes. 939] 1|/ 2] 2 ee | ow |e 386 | 2 7 g72|) 1) 2] 2 Bio 5| 31 4) wl 6) one Ropes) 24 8-41... 2.1 ARE el calbren 4.| 734m 401 | 4 9 gail) 4| 31 a 6 6 46/3 | 8 g0l| 3| 31 4 6 \ is | 4 } 2 | Sale 419 | 2 8 758|| 2| 2] ... AA EL wel 2B 6. | “aaa 425 | 1 6 7-37 eS re 4| 2 5 | 4106 70 Nem 7-22 i a 2 sl fae |) 440 | 2 4 6-85 | 3 ale) Sal) wee | alee 452 | 2 4 e42|...| 9] 2 RN 4| 30m 465 | 4 | 10 596) 4! 4] 3 7| 9| 7). 7) 9) 40| 2am 168473 2 | 5935-66 2 2 Ose. Freq. 168481 490 497 511 516 523 533 544 550 563 569 574 585 601 i 612 Ty 625 629 638 646 655 663 671 677 691 695 704 721 727 740 153 771 777 “791 "805 810 822 828 837 843 847 855 867 881 898 911 918 924 168941 Mean Intensity. © at Medium Altitudes —_> EOF BSED DO 1 WwW DHE ONOWWHEEOD HP OF ww: MANDY o>: ID NON FE WH Wor RW Wwod: Telluric Lines on the Horizon. DR L. BECKER ON THE SOLAR SPECTRUM. 5935°38 —" OnFrF, FOOT: O: S. w — bo Het. mH OO 5929°85 9:57 9:25 oh) 8°69 8°53 8:43 8:01 7°86 754 6:94 6-74 6:29 582 5:19 4:96 COOCOFrrFrYrP NHL w SCWNNWWOAWAADA ww WOWNOWFEE OT CO 592 5919°83 5919°22 High Sun. 1 8e | i2a 47 58 47 UB VGH I DAciL 2| 2 Sot 2 Gea eee ai oh 3 pele eo ee aes SN Gl ar Ss Sr iaih 7 6 6 oy WD Fs BA lgat so) 2 oe) Cel we) Fes 8 a TD eee 8 FeO 3 Bee sie 6 se 7 6 pee ie eon ip roul 2 OP plier aa yet frag! ot Bie Halles pee 6| 5] 5 Sole sales Bie ieee Le Seal ge) 4| 5 peal a i ee ae eal 8 \3 By aks} i) eel pi a oaako Tile 6 koe Rite Gale nb Go wo: > Ee PORK oro: : Oo : > HH © * ©1000: OC: BOY HoaeR: ON FF TONADH 10 - PwWPN: oO —— ; + COU: SP PWRWOPR: A ep sh5 0: OO: bN: + HO Oc | H& 6O 59 13 10 10 a (eneniene 4 OO: ss - © 16 a> ~ Boo Oc : aah: : mo : : Pawn nnoanwwn sy 148 Low Sun. 6a 6b 8 24 48 31 27 34 27 37 12 21 20 27 14 Se 6 Ul Ae 8 8) 5 3)) 8 6| 4 Be line Wetsi. 8 Sim 9} 10) 10 9). Oat i 6, Sib Sie 6 8] 6 4) . nee 6| 4 DI ( 8) 6 et aiee! 5]. L 7 6 8] . 10; 10) 11 6 5 4) 5 PA ke ah 4) 3 Bil he 6 i & WI sec Teje 4, 3 seal 18 rs 4) 3 9} 12 11} 12} 10 3; 6 ASG 4, 3 “9 12} 11] 11) 10 10 |p io 0 9} 10 10} 10 4, 5 4 “| ® 5) 8 9| 6 7) 9 11/< 10) 8 | a 8| 4 4, 4 = 4) 4 | 7 4 6) 5 5) 6 4 6| 5 8| 9 8; 10 9 5) 6 4 6| 4 9) 12 ial) eA ata 9) 12 iu) 1a) Thal 38 37 14 14 57a 39 21 144 DR L. BECKER ON THE SOLAR SPECTRUM. sicenl High Sun. Low Sun. Brot ar Ose. Freq. | 3-3 |.2 8 g r 1|{ 8c) 12a} 1] 8a) 4] 5a] 5b] 6a} 6b) 8] lla} 24] 48 | 56c | 57a | 58d | ae \eea 47| 58| 47] 48) 53] 59] 25] 25] 31] 27] 34/30 | 27] 387] 88] 42] 39 ea eer 12/14] 21] 18{ 9] 15] 16] 7| 18] 22] 19]26 | 29] 18] 88] 25 oe 168943 | 32 BOLOUB I c.. | cc] Bo| ss bee eo | ace | cove) AGE 958/4 | 12 8°62 i 4/ 4/10] 9/10) 91 8| 9/12/11]... | 10| 10) 14) 2 963{5 | ...| 8-451) Bol) Bless ene zn vee | cez [bee | coe | ose | nel 974/2 | 7 8-08 21-21 a aA Aeon Al 6. 4 7| 5 ae 978 | 2 7:93 ea ee hae is 9S ree eae Pad a 9389/3 | 8 Tbs 4) 31 32.5) CAkeolemeeeei 6) 6 | 5 7| 5 6 168996 |... | 5 7-29 SS Rahal os RES ee aoe Woe 3 | 169006| 2 | 6 6-93 31 21 2). salami! 4) 4/1, 4] 4 6 | o11)/2 | 7 6-77 Bul OM a5 aS) Bh 26 wel ee 6 | 021] 7 6-42 7 Gi Fh A eer eel Ob |S 6| 4 6 027/2 | 6 6-21 21 21 41 Qi wie ssl 5) 5)... | 20) 6) a 040) 4 | 9 B77 &1. 4) 41 71 6 er it 8 9% 8 | o47|4 | 9 552 5) 4] 4] 8] 6 } 10 : 1e 7| 8 10 a 19 7 10 e {3| 060; 4 | 9 506] 5/4] 41 7 6] 8! 6) 5] 7] 8| 6|..| 9) 83 ee O72)1 | 4 464 cot Lace ee Bice see 4| 3 3 079| 8 4:38 Biles | pale ee biol{ § S bo Sonor of! 9 10 | 9 100g 10 0933/1 | 4 Biota 4, Aiea bes 4 Bties 4| 3 |. 105 | 2 BO la oa) Os vat | 20a eee ee eee 3] 21 ...4| cca 115| 4 | 10 215i) 4) 5) Sy StleneeOniecnl cle 8 (0 9. 9 10| 9/10)... 124|3 | 8 2°82|| 3 51 5 5) 6 8| 6 6 | 127|3 | 8 2-70|| 3 \3 y 13 5 \9 ae 13 5 ho 15 5 bio " 18) 14642. 0% 215] 2 ae i 6 7) 5 | 6) 148/29 | 7 199] 2 {3 adh) 4 4 br 17 4 2 16 ha 7 5 6 | 160/2 | 5 156] 1) 2) 2] 4/1, ‘ 4) 4h, 5| 4 4 Wie || 8: | <9 |e 9) NCE ergalane 9 | 238/1 | 3 BeBb Wc: cae) Lee | a ee ee We 2 a 252 | 4 9 8:36] 4| 4] 41 7) 6 TANS ON) 6 | -8 | SS ye soa ad 8} 26215 | 9 7:08) B95 5), Soule 7) 5m 6] 8) 85) ea soaaa 8) 74/3 | 8 7-58... | 5.. ) 34 eoumne Bite B5|-8 | Moa soul slang 6 | 279|4 | 8 742 4| 4| 41 6] 6 15 6| 8 6 7 | 286|...| § 7-16 || ... ae eek oe! peal 3G] eo ae 4 5 | p9915 \.t...| 6:95|.6 lc5 ) By sane Sh ele. iy a A | 304/2 | 6 653] 2| 3| a] 4 Bulag 6 | 308|2 | 6 638] 2| 3| a] 4 a ai 13 4 5 = ag al 318| 2? 6-04)... | s. 2 “yee a = a 325 | 7 aR 6:81) 8) 64) Si ais SAG 7 | 6.) Soa ies 6 ay 398|...] 5 B68 1 ¢. |. | td eee hee ee is: i2| | S56Ne tro 546] 3| 3| 31 7] 6 Bales. hb | B.ilees ees 7 8 | | 5.04 Halen ny 5:25 of 2h @aleate BALE G's) Sir lee 6 im | 349|/3 | 5 4-97 3 |. 3 aloe at | oe 3 4] | 169362| 3 | 5 |5904-53 2} 2] 2] 2 Bhilai | 3] | on @ Ose. Freq. 169372 376 380 387 396 408 413 419 427 430 439 445 450 461 474 485 490 503 509 515 522 533 540 546 552 561 566 571 578 586 590 596 694 610 617 628 632 644 649 657 668 - 672 678 686 691 696 705 710 7i9 725 169729 Mean Intensity. E a] | | Of suizts ae\2 65 =\o 3° S3|5 so (0) 4 3 8 | 5904°16 3 8 4°04 4 7 3°87 2 9 3°64 3] (42) 3°34 2 5 2°90 ee 4 273 4 5 2rpe 3 10 2°25 3 8 2°13 DEH Venn 1°82 7 12 1°62 3 9 1°43 3 8 1:07 2 7 0°60 6 11 0°22 5 10 | 5900:06 4 ... | 589960 5 9°39 4 10 9°17 1 6 8°94 2 6 8°56 7 11 8°33 2 6 8:10 rice 6 7°90 4 9 7°58 33]) aes 7°42 qiaye 6 7°22 4 10 6°97 ‘es 4b 6°72 4 11 6°58 500 5b 6°37 12 ay 6°08 2 5 5°89 fais 16 564 3 10 526 3 10 5°11 1 5 4°71 4 9 4°51 2 Bag 4:25 ws 42 3°88 4 10 3°72 1 4 3°52 4 9 3°24 7 a 3°08 4 6 2°88 5 10 2°59 1} (3%| 2°40 2 42 2°09 5 11 1°87 4 10 | 5891°73 DR L. BECKER ON THE SOLAR SPECTRUM. rs OOP RAT OO COR: OO: (SUES Gers oe OUR STH ee OS wo High Sun. 4/ 5| 8 30 | 44 | 58 2°0 |1°3 | 1°4 3d t 2 3 3 3 2 5 5 3 5 4 6 3 3 ears 18) |) BTN ore 11 | 12 | 12 3 Oi llem 3 }oal{ 7 7201 Bec || eae 4); 2) 4 2} 2] 3 1H 4) | 41. Jer), 28 ab alee 6| 8| 951| 7} 11 4-04 6 7 8 9 81 8 ie9 9| 9 ake 10} 12/ 9] 9 0] re ae hee 3°93 6 7 6 (jam 966 | 1 4 Bl oo || el eee || abl Daa iiss ali ule aGale Oates 3| 3] 978 | 2) 8 B12) 8 | 8} 1} Blas 6| 6] .. 41) 7 | seal Calas 5| 8} 984| 3] 8 2-92)! 8 |) By |) 2 [eB as Bred) tes. BF \F es ieee 5| 8} 990 | 2] :.. Perl le Onl Be, Bo ene Pe feece li. cis [ecaeal asa eee Ree | ae 41501) 6 DEB sei9 neo sell chet Wh ceeell ae 2 5 460906 | x |. weil ase lle. Veil ele 2 }4 “ 8 {3 }7 4\.4 ‘7 170006 | 3] ... OA 3. Boy Bile teas PMMA Ieee | sasidlt ae. ty el esta tes a 010] 8] “8 P02) 5.201) Bulb ABs nee 4 3| 6 ic va ois| 3| 8 191) 8] 2/..) si 8 5 }o > Paee {4 6 to Calva 6d) 016 6 FO Niece, ies Wooe eeea ee Beha 33) -4ieG $i 3 | a 02 | agent) Faelts|{3|}e| 4] 4 1] 2 fae |e 8 vee eae 3| 8} 033 | 3] 8 U2 Bl B48) Sales 4| 6 wof |< Bal Bal eee ia fe 10dl 038 | 3] 8 £08: 0 3° |e Boalt Balms 5| 6 {Bel *64| Saban 116) a 044] 2] 8 Od a en) eyed et || 2! 4| 6 Pee Memo er 5 | a 0°65 4 050 | 3 6d { ae } 1D |e eee 3| 2 Peal the }o Bile 4| 5] 058 | 3 0°33 1.8 1. 2B), ale bea iliocer tli Bal ees 8 | ve | 066 | 3] ... | 5880-08 3 3 |) | 4 4 4 B| 2 nh ee G| oa8 4] 5] | 170069 | 4| 6 | 5879-98 3 5 |S | DR L. BECKER ON THE SOLAR SPECTRUM. 147 ae High Sun. Low Sun. Ba| ¢ Ose. Freq. 3 3 QF m r 1 4 5 8e 1 30 5b 6a 6b 8 | lla 48 | 585 | 74d ae Ess 47 | 30| 44| 58 48| 58 | 25 | 81 | 27| 84] 380) 37| 39] 44 == 5 am 1:2 | 2:0 | 1:3] 174 10h 12) Ate? we) so] 16) erie ti 277) 28 (0) 4 170075 | 4 | 9 |ss7977]) 4| 3] 3| 4 6 3| 6 7 Ge 4 | 9-| 964) 4] 3\-3| 41 6 9 ie 6 10 ene 7 hi Gee) 2). | -546l...| 2 ¥ Veer een. 3 oe |e - | 8-24) 1] a] 2} 2 Aaa sh Vee eA. | el Bellet Bioo| 2° |. Scola eal |) 2 B les 107 | 2 8-64 b| 2 aes 119} 3 eon kl ia) a... me a ey me 4 |. -| zoo] 4) 4| 8] 5 2) 2 pea ee Be lids, ales 33/6. |e fom, | 6 | reel wl 3) <. 3 5 i Geel ai) a ba Mos | 6 | 743i,../'2| 2] 2 3 ileeanh 4 | aah 4) iy alee mo 1 | 4 | 7-21 Tate oad fees oo hale: Palle meee 3s) 704) | dw | de 3| 3 3| 3 foe 38 || 662) 3 3 i ape ls | eal 3 4 13 \sa by 8} 9 onl zaleed fees | 9 | 622) 31 4| 3] 4 e119 Sil ot) esl 9]. 7/9 mes | 9 | 571i) 31 4] 2] 4 Pa ar euler taht a. Gk 6 ior) 1| 5 | 5-55] ... 2 14 ¥ 5 lh aes: 2006; 3 | 5 | 5-24] 3 21 3 4) 4 PA SORA td, bt le sel ew aa.) 2 jsa{) 40 ty 2| 9 2| 4 a. 8:| 13 3 \4 4-68 | § 4 3 eam | 4: | 4-37 4 Suh Bey |... | 418 Eh ¥ . Rea ew Sole Ov iba ieee 241} 2 | 5 | 402 3 3 21 4 USES PSs Ge ani 2 | 7 | 371\-11 3] 3a 3 5| 5 Ge ase 50 oe GIN Poy 5 | G6 | 6337) 5| 4i-5| 5 2] 5 | 61:41 4). 4a 5| 7 ae) 1 |... 222] 1] 2] 1 has Tem Pe coalg. vee 999.| 1@| 5 | 2:37 Ran. 2 obs AGEN Sle e110 agieed mete 4°) o09} od we | a | 2 SUES Ohl... feed 41 4 | 195i) .../ 1] 1/2 = Bal ed i oe ae ees | 9. | 3s 4] 3-| 2] 3 4 6 Goel ey |i y).-5ele Sulmag eM 1-06 ed ce | ee | cea] oe | At oe 5 . 3 42 mere | 9 | o73| 4] 3| 2] 3-1 3] 6} 6 ro als Waal araalees aC 1 349| 1 |... [5870-31 Patel ae | by Pies eb asia ey 360/ 3 | 6 |5se9-94/] 3] 2/1.,/3 3 5 4 mas | 6-| 9-82| 3| 2 heal 5 3 13 \5 z 1; \6 De Ve hs 7 375 | 2 e391 1] 21 2) 2-1 9 heees Dale Leis 390| 2 | 7 | 8s9/ 1] 2] 2] 2] 2] 4] 5 BATA bee! | Sila aale oh e7 405 | 9 8°37 | 2 p ArE., 3 3 Bist} 2 | |. 7991... | 2 Fs x ees | -9 | 777i 7) 5) 51 5).5] 6) 7 Sai 9th 87 | mee 7) 'S 407 | 9 eee eel 2 Lf] 2 z i 439 | 3 7201 3| 2] 2 3] 3 Wy 2| 2 3 446 | 2 Goulet || 9 id a edhe... rl 7 |. 65s a4 6] 7) 6| 7| 6| 5 SuLenieen| Gul. 6 7 M2 | 4!) esi ...1 3| 3 fe) Pas | 23 4 ‘3 meee? | 7) 5-90| 1| 2] 2] ..:|..] 2 \6 CA il ae 7 484| 2 | 7 | 5:66 D aN eA) 1 6| 5] 5] 5 a Memes |... | 5°59 2 9} 2| 2 4 D 3 : Meet 4-| 499) | 1) 1/ 2| 2 3 3| 21 3 4 B18) 3)... | 449] y_ 13 * Pe | 3 \3 3 \ 170521| 3 | 6 |5sea-38|S° |13 7 3.| 9 saecn ee aul. 4 5 VOL. XXXVI. PART I. (NO. 6). 2A 148 170531 545 550 556 564 573 575 582 594 597 604 612 617 630 642 651 656 665 676 680 685 693 700 709 718 732 745 750 754 759 766 775 787 795 808 815 828 833 840 844 856 870 874 88] 896 901 911 921 930 170936 Ose. Freq. DR L. BECKER ON THE SOLAR SPECTRUM. Intensity. Esl 2 84/825 Oar 2 2 Med 1 4 ee 4 2 24 8 at 2 2 2 5 2 6 1 3 1 2 2 1 : 8 10 3 a a: 3 4 rae A 1 3 2, 6 9 ae 2 41 2 2 21 6 2 ; 2 z 5 Bat 2, 5 2 4 Wy ; 7 2 fees 3] (4%) 2} (4%) 2 6 2 2 ne 3 8 3] 8 — he oe is es, 5864-05 3:56 3:37 318 2:92 2:58 2°51 227 1:86 1-77 1:52 1-26 1-08 0°63 5860-21 5859-91 9°73 9-42 9:04 8:91 8°75 8-48 8:24 7-92 7-61 713 6°69 652 6°38 6-21 5:98 564 524 4:97 452 4-28 385 3°68 3-43 3-29 2:88 2:39 2:27 5850715 High Sun. 1 4 5 8c 47 30 44] 58 De) 2) esis) Wes! 2] 2 1 | 3 Seal Sole ome Ry Teo 8{ 8| 8| 8 | pol Sigs (2 3 ect a S003 | we oll Pao ae 2|/ 2/ 2] 2 gel Le eee al Solan oad a ea) tes Sie Guill On| Gel me 8| 9/10] 9 S| a2) ae HR ileal ai... Pell weal ee pal Peale: ial Me foal Boeiees Hall aoe) ts 6 el Whee at ee 349) 3 Pl ep Ww bal S6cll es belireull we ga we ka eal ye) ales Gal ae ae kot Sollee Sw oe eke S| eae ts as hi Del eee 1] 2] 2 2 1 ONDNDNAHH ao: : Peicoiens Low Sun. vf 8 | lla | 18a 87 | 34] 80] 40 8 15 19 32 1S eae cal il Bie cole 8 7 8 ; \6 5 eerelP ade 3d\ . 3 3 ; 4 3 9 9 9 Sule 4 4 3 Sell erceenllbans "al Ge eaten lee B 4 5 5 8 Sialicsane hake b 3 5 4. 8 48 | 746 37 | 44 LS i » wo bS Geo. cs Owe: wT: =a Oo Steeus as DR L. BECKER ON THE SOLAR SPECTRUM. 149 ee High Sun. Low Sun. 5 Ose. Freq.| 23 | oBe a ioe) 45 wel Dieses we es | wre) tie W801) May eas) .78 as 288 47| 30| 44| 47] 48| 531 37] 34| 2301 30| 36] 38| 40] 37 #q |Sen 12 | Ot | 13.|-2°01 -9)) a4] eo | 45) 18! WD) a7 |-98 |) 32] 31 © ne 170943 83 5 5849-89 3 3 3 3 2 i 3} 2 2 4 954 1 Goal |eeee lees Il. dec Dl 25 oe Se 964| 32 Som cts | 3 110 lees uy Beg 2! | Com ei | 9) 2 he uA a 2 975 1 5 8°82 || ... Da he eA a kee 2 2 2 4 988 7 ; 8:36 8 i 6 6 5 5B) il 5 5 4 170998 1 8:01 2 1 we He 171003 2 7°86 2 eet Delle. 2 O11 2 HOD || Sor 2 2 ae sak 021 5 22 6 4 5 5 4 2 5 4 3 4 039 1 6°63 2 1 B ae 048 2 x 6°31 2, 2 VA Pee 054; 2 | (42) 6-09 Ba i 2 Je 4 Bab UN ca 064 1 8 5°76 Glee 3 5 4 3 8 1 5 071 3 Pee 551 2B 2 3 B ah Fee 3 082 2 (4 1) 5:15 Dil the 2 1 4 091 2 4 4°85] ... 9 1 2 104 1 ae AEBS) W Goa. Ih haere] URREA 2, St: Ne 116 2 3 4:00 || ... Oh tees 2 il 3b) 3 134 2; Beats) Ill aso || cae 2 2 ES Seed od 149 2, 6 2°87 9 2, 4 3 3 6 6 5 156 2 5 DEG oulln eee a Toul) ite acters ell eer eee 3) {| Ae ieee eee See 5 166 2 By DROOR eee een ll! Res le el ee ee a re Noman rae NIE, tees 3 2 181 1 ae eA \Weses ol cee. aes 2 aan 194 1 4 1:33 2 1 2 Sulla. 4 4 203 1 6 1:02 9 1 9 3 3 3 6 6 4 220 O ae 5840°43 2 1 2 Bet Wee 238 2 4 5839°84 % yy 2 3 4 241 1 ae 9:73 yale: Be 4 BL ae 244 2 5 961 , 2 2 2 3 3 5 5 4 256 2 oh 9:22 2 ae D, a 7. 265 3 4 8-90 ie ey, 3 3 nl) a: 4 4 273 3 6 8°64 3 i 5 3} 3 3 6 5 b 279 2 4 8:44 9 3 9) Bal eee 4 4 286 2 8:20 B Oat ee 2 ko dl Meee ae OA Ss 296 4 7-86 3 4 4 Dall 0% 4 307 1 4 7°46 il 1 1 4 4 323 2 6:93 1 2 2 Beet eee 332 il 4 6°62 1 eee meer 5 2 2, 4 344 2 a 6:20 1 2 2, A Seale Fpl Ea ee | ee 356 3 5 5:80 3 3 3 3 4 3 5 4 4 362 3 5:60. 3 3 3 Sy Al Bee 2 30 b 372 4 5:27 4 4 4 4 4 Sele aac 4 3 4 386 2 4% 4:78 2 i 2 : ae 4 394 2 4:5] Dy a B B nee 403 4 8 4:20 5 4 5 6 7 6 6 6 8 8 6 415 1 3°80 1 Bos aoe #8 494 1 4 3°51 1 2 2 3 1 2 4 3 | 36 437 1 ath ONIN cae |) ace 1 a yw: 449 2 4d 2°64 || ... 2 2 2 7 3 2 2 3 4d| 3 | 36 171455 1 5832-45 2 150 DR L. BECKER ON THE SOLAR SPECTRUM. Bi High Sun. Low Sun. aoe 5 Ose. Freq. | 2 gee Ke 4 5 8 | 4a | 110 | 134 | 180] 17| 18a | 470] 78 a8 |258 30 | 44 34] 30/ 30| 36] 36] 38| 40] 86] 37 3a ees 2°2 1°3 14 17 11 21 Wy 24 29 30 28 oO 4 171466 | 1|..4 | 5832-07 4 |... - 3 os i 473. | 5 veil 5 | 5 | B | 35 5] 5 Oye (ae | ee 155 5 {| ee ie 4 |° 2 | elle esa ae Pope ee) ee 2 Sale 4 508 | 2 064 2 | 2 alee a 5is| 2| 5 028i ... | 2 Al | 3 4| 5| 5B 5 525| 29| 4 | 583006] 2 | 2 40 a 4 540| 2] 4 | 582956] ... | 2 9 2 Ita 4 559 | 2] 4 g90|| 2 | ... , 9 Bh lca 4 Bal | bed ..8 B19) |W lag 3] 2] 2 5) 4 5 581 | 4 Sail) | 8 |) a in 4 589 | 1/ 7 789] 29 |... Ay ae) 3 Bl 6 ea 5 597 | 3]... 761] 2 | 3 1 9 Bil | 625) 2) Wee wyasil ok, Tt rf 3 ett coil, 2 680] 2 | 2 3 630.) 49), P64 a. 3 Pee: 3 647] 3 |... 590) 2 | 2 91 3 aes 3 664| 2] 42.) 53a] 1. | -2 ex 2) 4 BT Vee, Ack #96) boas tox nt 1 4 635| 2| 4 461 2. | 2 2| 3 ilo: 3 god |) Bra.) 430) 2 | 1 eee 3 709 | 2) 4 32] 2 | 9 3 Pelee 3 gi AO. A). Soil tet law 3| 98 21 4/5 3 72! 2| 39! 336) 2 | 1 im 3 729| 2! (3)| 313] 2 |... ais 3 746] 31) 2-56|| 2 Sie haf a, a 3 gS) od} 4| 3 4 Toa baled wna Lele | oe aie 4 759| 3| 4 x10, 2 | 3 lane ated 4 77| 2| 3 151) 1 | 2 : Shite 3 T8B | nol pas ce ed eal 3 Ih. x TOBA kecl.,c3 hl) Sadeiell\ 8 on Sulton : 792} 1) 38 0-98) 1 |... 2 91 3| 8 3 go3| 1] 4 O62 Ie tesca Il hel 2 eee 4 si7| 2] 42|582013/ 2 | 2 . Mie. 4 so¢| 2] ... | 581983] 2 | ... 21 3 hie a 336 | 2] 3 951] 2 | (2 3] 3 3 BAN i. Vad Gn ee.) sae 2 | eee 4 sis; 2] 4 8-76 2 | (2 * 3 1.4 4 g70.| 221.6 834) 2 | 2 3 9 2.| 6 ke 5 S75 | °2.| (3%)1° ss-leil 5 | Jae) seal 4 Af 3 ss7| 1] 4 7-79 i 4 goo | 1| 4 759 \ ; | 1 \ | a 2 Palle \4 BOB L4|-.s: 718. 4.) Amen 4 4 4 910 2] 4 7-00). 3. | uc GN \3 \4 \ 2 14 4 E i 995| 9| .. 650|| 10 |....9) eae | 9 9/ 9| 9] 8! 8) Same 932| 4 627. 3. | 03 Jee | 3 24 sco atepen alee 4 937| 2 609] 2 |... Ament: 4 eee a 045] 29| 4 5°80. 3. | 2 emeell @| 4 Bl eae dh elt eg 4 9601 (4.1650! wsoll. 3 | 4 Bambee |, bd 31 3] 2] 4] 8 4 171972 | 5d (51) a \ a) | 45 sees ts 4 SEF acl 8 a fe é 5814-87 4 DR L. BECKER ON THE SOLAR SPECTRUM. 151 ante. High Sun. Low Sun. 5 © Ose. Freq.| 2-3 | oS E 7 4} 5/12¢a| 7| 8| 118] 180/130] 17|18%} 20] 475] 76] 78 ae | 255 30| 44| 47] 37] 34] 30] 36] 36] 38] 40| 42] 36] ...| 37 sq |aen 22/13] 20] 10] 13] 10] 21] 16] 20] 26] 18] 30] 12] 22 © a 171981 2 581460 || 2 1 Dh frees re id 1 2 991 2 4:27 || 2 3 171996 | 2 £08 3) 2'| ... My Lyle 2 4 172006 2 4 3°74|| 2 2 2 2 2 3 3 2 4 025 2 4 3:13) 2 2 2 2 2 3 b 2 a 3 36 4 028 2 3°02 || 2 hi 53 aha 2 036 2 3 DLO ins allncor Qe wis pa | se 5) 4 2 oae 044 2 2°46 2 2 2 2 ae 3 055 3 2°11 2 4 3 3 3 3 Y 4 1 2 062 2 oe 1°85) 13 2 il ee lees 3 070 1 3 161 2 1 1 2 3 2 3 077 ii 2% ITGI5)Il" Boo e|| sooo ag Hee geet Bekele 2 ‘ 1:04]} 2 088 | 3a os oe es ad zh te en 2| 3 bl Mew Be 101 2 aa 0:54 || 2 2 i 2 aoe 2 111 2 ae 5810719 2 2 3 2 2 2 119 nee 3 5809°94 ond = 3 3 126 il 4 9:70]; 2 2 2 3 2 4 4) B 3 4 136 a siete 9:35) t 8 i 7 8 6 8 a 7 8 8 7 9 145 2 4 9:07}; 2 2 2 2 3 1 4 3 152 3 8°84 oa aoe 2 2 2 2 159 2 8:58 || 2 i Ohl ge ie . ss ytalimestass 2 174 3 8:08 |) 2 3 3 3 3 3 3 3 3 3 3 2 2 180 2 4 7:86 || 3 ae 3 3 4 3 b 186 2 768 ]| 3 are en 2 2 194 2 7:40] 2]... Bill’ dec oes 3 197 2 (20) Oe 2 aes on 3 209 7 ic 6°89 || 7 7 7 8 8 6 6 5 8 8 8 8 8 212 fs 4? OSI Boe ig sia 4 223 1 4 6:44 ]) 2 i 3 4 3 3 3 4 4 4 4 232 1 3 6:14] 6} Bt Aol seh ie 3 240| 4d { Ee fe pel ap) 3)| 2 asain Be Ves) ee Vd 5:77 4 249 1 556 |) 2 at son Polar sa. ll|, See 255 7 5:34 ]| 6 df if U f 6 6 6 8 8 8 8 8 261 2 3 SAN 2s eee Dh ths 1 3 Real toss 3 265 2 4:99 2 2 : 274 2 ACOH We OP beet nlite scr less moe hs sae bes 276 5 464] 4 5 5 5 i) 4 5 4 5 5 6 5 5 283 4 4:4] 3 4 4 4 2 b 3 3 4 290 5 418] 4 5 5 5 5 4 6) 4 5) 5 6 5 5 293 ane 3% 4-07 aoe E 3 302 2 3°78 || 1 1 2 Be 2 2 308 1 5 3°57 2 3 3 3 3 4 4 4 2 2 5 312 2 Ble SN NII Bas ee 2 2 . 1 3 3°16 1 1 3 3 2 4 27 1 4 2°91 2 4 - a ter ia 2 3) 3. cess 2 1B 5; 339 2 32 2°53 || 2 1 ie oe 3 343 il 3 2°40 2 3 sae 2 3 172354 2 3% | 5802:03}| 2 il 2 1 2 2 2 3 DR L. BECKER ON THE SOLAR SPECTRUM. 172361 373 383 391 | 398 409 414 422 429 436 440 454 463 466 472 480 487 493, 503 513 522 530 540 547 553 565 571 577 589 592 597 602 607 614 620 625 634 645 657 662 667 678 681 686 702 710 718 | 172724 | Ose. Freq. Intensity. hs os SP ael & ome Cf SB Ess 25 |e82 © a 2 oe eae O3| | 5 ial es saieer MEN se 2h, & Dal eal as 2| (32) AD as: 1 a 6| 9 nal bee 6| 9 led elt ae | ao Od 4 4d (494 Tel A Tose eth oe owes q |) 39 2 a) we Ge DN Be i ane 1 | "apes aie eae? ee Bell) ee 2 a 24) 4 0 ee |, 3 Beth ccs baa) ae Pe as pe 2| 4 2) ig 2 5801-79 1:39 1:04 0°78 0°55 0:17 5800:01 5799°72 9°49 9°25 a 8°66 861 8°36 8:24 8:03 GT 753 7:32 6:99 6°65 6°42 OPE ERD HHH wwwwore Laelia DOM KRADHE WADONAMAADBDOY WA TIHROARTM CODRGHONWNYD He 578958 High Sun. 4 5 |} 12a 30 44 47 PAB AUS Np ete) 2 2) 9| 2 ated |) 2 ws le 2 | 91 2 2 * tS eee \e igh 2 \e 6 xeule ue ve |e | Onl) tala 2|/ 3] 2 4 SSS eth ~ re) 2 Os OF Baile sel ne 2 ai ele at ae ly hae Bl 71 6 Dla ouleae he 2 2. | ope Miiec 1 2 10| 9| 9 3/ 3| 3 a} Blog iS) bo i) 8 | 11) | 18a 30 36 10 Di onl. les 3] 3 2 7| 7 Elie b 6| 7 Dal cc oly, 3 3 ies. ues 6| 6 SP i ines 3| 4 9| 9 Parr ohh. eo wo: hows a See 2)5 (ee) SS) oe oo: . (ty BS, . Wc. Gi OF = — oc: Hm COO: co ee Low Sun. 17 | 18a | 180 38 | 40| 40 18 | 24] 13 BS) le 5) 5 5 5 ely? 4 4 8 8 3 3 3/ 3 4. 4 4 AL sae Cori 2 3 | B 8&| 8 EL ak 1) BD il sheas 4/ 4 4| 4 | | | | bo hey Gr Sy Ge B sy S CY CHCIE FE —— 7 wo pS DS NNNHNHTD: DSWnww vw 7 Ober: Sa —_—“—, a. SS PWR Ol Oo WD KH WW NEE OOF Si ee DR L. BECKER ON THE SOLAR SPECTRUM. 153 172731 741 747 762 769 778 782 789 795 806 813 821 828 834 837 849 857 866 873 880 885 890 897 901 904 913 921 925 931 942 949 952 963 969 974 981 989 172996 173000 018 025 028 036 041 052 058 - DN ———————eeeeeeeeeeeeeeerle ee eee ee eee eee 173067 Ose. Freq. Mean Intensity ese . 22 \cis or) 3 me) 5 2/1 5 2 4a el 4 Mal... ce .. me 24 21 6 BP 5 1 3d mal... 2 4 5 a .. 6d = Bie... 5 2 2 2 7 3 21 2 7 2 mm. fel 4 Bal... P| 4 a 2 ak. i: ae el bd a el. fel 5 2, ee ml A a... 3 a ul. Bal... ip. 1| 3 5789°35 9:03 8°87 8°76 8°31 8:09 7:76 7°63 7°41 719 6°91 6°76 6°60 6°34 6:09 5°90 5°80 5°44 5°38 5°12 4°83 4:60 4°35 418 4:02 3°79 3°67 3°55 3°25 2°98 2°85 2°67 2°30 2°05 1:94 1°59 1°38 1:21 0°97 0-78 0°66 0:47 5780°34 5779-76 9:50 9°42 9°16 8:96 8°62 8°40 5778-11 High Sun. 4 5 12 7 8 11d 30 44 47 37 34 30 2°38 | 1:3 | 2°0 11 11 10 fe ee. 3:19 2) a} 2] 3] 3) A \3 2| 3] 3 i Die | ae oe a mesma! 7) 5 Go |weee| ee a Paneiieeiiiees He i." Fim oles \-3l 3 resin Sait 3 | 3 eg Oe ae i 2 A) 2) 9 Ds eee |e is Ales al 31-3 5 Ral iie 4 \5 \ ite | 22) 5 5 ? 6 Gilg 5 5) 5] 5] 5 4 oo ols 4 i ee Me 1 2/9] 2 hee Dts Hive || ee a eee wir Gls) 616 Ma cpr 3. iy Dies siks2,, ete oy} wee 0} eee ore eee mike oie ssl 6 |> 6 lao ac | ee a Delite fil eal * ilMeoapme lis. a io) Sr et ss) Fl 8 ~fosfoc dts | 4 Pa ea emits ts 2a, 7 a rel a \s BA 9G. |-eal eae wee Vote aia) 3 Sw 4]. 2 31 1 3 : bad : 30\ 3 Pe ae | a8 efegfog dec | es | + jello ees sl ea 1 2 32] 2 Or woo: (eek FE oo: 13a 36 20 bo or Ot m& i) Sy apc 5 i Low Sun. 17 18a} 185) 20 47d 38 40 40 42 36 16 22 13 16 Dil Poles Weegiliag |B a £}) 4) sal 4/\, | 5a 4 4 j j ies ed | £183 a 6 ler 7126 ofr fon fog | an eee. ees | | ae oie aaa) ua 3 alae , ca: "ee. a 7 a 4 Ll Gal alee! 5 Me \ecgs les pol 5 esi | 3 el ie) we fon foe oe | eh ol caer Pa lee Seemiees! oft mlezie) 8 \le6 a onen <8: “fests ) aly el eles | sie 4 : \e 5| 3a\ 5 atl ae Wee alco A ven i oe foe [oe |e Bos Geb Sayese 4 a ale. 4 bay tS a1 4 3 3 | 3 tees | 4 a) hen elisa eae ae Sesihea)| Gok 8 m4 3 2 3 76 DONNNYNWo TF DD NHOKPWNYNWNYY NWNWK OY DD bd vw bob: COM: 2 Dee RR Sl nent ob b: Om: lor) | 63 88 “109 GO BP OF Rie bo: SS WONNWWn Dnt Foawnww Pb dow 0: mb oO on: ——~—. " WF oOWDNWrHwwRho DD oO: 154 DR L. BECKER ON THE SOLAR SPECTRUM. iy, High Sun. Low Sun. f.|.2 Ose. Freq. |. |.2% ¢ Pa 4] 5|12¢} 7] 8| 110) 13d|.17]| 18a) 180] 20| 470) 49) 76| 77 | 78] | S2|\4e8 30] 44| 47] 87| 84] 80] 86] s8| 40] 40| 42] 86] ...| ...| 27 | 3am 5° Pte 24/13/19] 11/10] 10] 18|.15| 19| 12| 14] 25| 23) 8) 1eqnaame 173075 1 3 |5777°83 1 3X0) || “S50 if 2 2 2 | GBs ji az .3 7-49 || 1 Bee le Sl oe R 2 wal 095 2 Rae 7:16 1 Sogn ae cean Wat see 2 2) 106 2 wed 6°82 1 BAe aceon eee ill" oo8. ane 2 2 Wa al Ped 6 6:56 || ... €) 261. Billy Mian eo 2 3 | 121 2 4 6°31 1 Ree: Il asoialinesee It ooe b 2 3] 17 SU ee 6 BANG | sac 6s) 6. le Dd) | eare| e6 2 3 | 136 1 3 5°82 1 ee 2 3 3 3 2 2h TAD see 3 X60) jl) Goo Diiiwc ent eas lipasremnlleniats 2) 2 EBS i) 38 1) oe. 5:24 || 9 Sle Sy Shi ean ag 7 8 | 160 2 ree 5:00 2 ate Pre icon. Witoas B 171 2 4 4°65 2 4 3 4 3 tek 179 3 4% 4°38 2 as 4 4 b 3 wish 186 3) 4% 4:15 3 AM! sechlleces 4 190 1 oe 4-0 ll)... ace says sate 196 2 3 3°79 2 A ees 2 3 3 =e 210 2 7 3°34 2 3 \s ie 7 7 5 { 215 2 7 3°16 2 4 5 fe HEM) Bo 224 | ... 4% 2°88 || ... A al ee re E oe 227 | 2 8 2°77 2 5 le Bile (Galleria onl eee 232 2% 2°59 Sat inte lleaee ae 242 7 2:28 8 7 Brie di 6 5 if 246 4% 2°15 4 Rae: hee siete 256 2 ii 1°81 2 5 8 Baldo 5 4 On || Eb 1:70 \ { Pret 264 2 6 1:53 2 4 if ee 5 4 270 | 2 1:33 2 Baa. p con sia 277 1 ae 111 Bay iit oce es 283 1 2 (SIS) |} Gae 3 2 2 298 1 7 0:41 1 5 7 4 5 4 301 1 4 |5770°31 2 a3 Aa 311 2 ... |5769°98 1 age 2 2 322 1 i 9:60 1 6 7 5 5 4 329 2 6 9°38 2 4 6 4 5 4 336 1 see 9°13 1 io 33 342 1 Bs 8°94 || ... ae : seis 349 | ... 3 Scale eee ane \ 3b {cer eam 354 2 5 8°55 2 4 5 4 4 ) ee 363 2 5B 8°25 1 2 aed | ee 375 1 3 7°84 2 2 2 2 lee 382 1 ip 7:60 1 Pi Pilnee sop 391 2 8 7°32 2 6 8 7 8 5 | 396 || «.. 3 (eaAlar | ay bcos ay || 403 1 a 6°90 1 seal Mee is incall eae 416 | 2 6 6°47 2 6 5 6 6 5 428 1 3 6:08 1 SP eee 3 ulllPeee An 434]... 2% Det) ||) Bae : ats wae £8971) |) = 29 5°70 || 1 sd 2 oil 456 1 2 514 1 PAA aaa 2 ‘ 2 465} 1] 2 4°84 || ... oa 2 \ 39. 173476 1 4 |5764:48 1 3 4 2 2 ; Ose. Freq. 173486 501 504 516 520 528 534 538 550 558 570 582 589 597 606 620 626 630 640 654 669 682 689 697 704 711 719 729 735 743 752 760 767 776 781 788 798 806 814 818 832 839 846 853 855 865 879 891 896 173910 VOL. at Medium Altitudes. —S— DOwWwWOnwmhds NOKKNYOK DH: HY HNHHDRFWWNON|ANWD WNHWwWorrO DH WH 7, PNR We pw OF DR L. BECKER Mean Intensity. | ) for) Qa i) f \ Telluric Lines on the Horizon. (3%) | 5764-15 8 3-64 f 3:55 3°15 I: 3-01 3 2-76 a 2-55 2-41 2-02 1-75 3 1:36 L 0:97 0:74 0:48 5760:17 (4%) | 5759-72 ny 9°51 9:39 9-04 8-59 8-08 7-65 7-41 7:16 6-93 6-68 6-43 6-09 5-91 5°64 5-34 5-07 4-82 is 4-55 9 4:37 5 4-13 3-82 = nee 3 3:55 at 3:29 8 3:13 3 2-68 ¥ 2-44 -, 2-21 6 1-99 : 1-91 1:59 P 1:13 4 0-74 0:56 5750-09 7 ws oOwWwo Pon _— oo: ON THE SOLAR SPECTRUM. High Sun. 4 5 | 12a 7 8 9 30 44 47 37 34 37 24) 1°3 | 1:9 12 10 8 1 ee |B oo eee \s 6| 5 iO leg toh) 9 | 9 oe ee ae RAGE LE A | Bot B Sc ee eee on) Say ak! | ane a oe Ske | 17 |. 5 DA Oa eth d=) til... 6| 5| 6] 6 Pee ales (ae 6 Bi 43| B16 SL ialdoed ect a Ba on) tae 4 3 a i gel! aie. a Drei del | & 3 2} 2/9] 4 3 t| 2| 2] 3 2 1} 2] 2] 2 hl 3H aT 1 Me ies he i 5| 6| 51 6 6 Ree pie ae a 2} 9| 2 a DA eae es bw 3 oe eas ie ae 3 Bult Sl ad 1 a 7 Ba Sua. “ 3| 2| 3] 8 7 aca ee M 7 f \6 bd] 6 7 males a eal Pgeltceal 7 8 SaNNS Nee [arts 6 2| 9| 2] 3 Gall epi my G 8 Mle Pl necwla 4 5 al, dele ot 9 e fei eee ae 3 2| 1] 2 XXXVI. PART I. (NO. 6). 11d | 136 30 | 36 9.) 722 3 | 6 Sg Bem |) ec) re Shi ea 9 | 3 sos lees 2 2 Sales 51 6 3 8 | 9 a alee ae 5 E| 3 “ 4 Low Sun. 17 | 18@ | 186 | 23 | 476 388 | 40} 40] 21] 386 12 18 11 20 24 Bae lhe 2 PB ae 15 \s ela ad { 6 8 9 9 8 9 £55 1] ea Merger ‘Saal Fade 3 Il cictadl Leceeeall Ieee 3 5 4 5 6 if alien. |., \s0/{ 5 6 6 7 8 2 2 el Ce eal ibe 6 6 6 6 3 5 | 10 6 5 5 Bill hone leceeat ieee 2 4 1 4 3 3 4 5 4 4 5 3 3 3 3 4 2 3 3 3 3 3 3 A eee At Bson aac ullced 2 2 3 4 6 4 4 3 a 6 6 a 4 bere Dial ree Balle Srl Bose 2) ieee 2 5 5 4 4 4 5 5 4 4 4 if 7 7 6 9 meet all tae 3 3 4 7 3 6 7 4 8 8 8 8 j 84) 6 6 6 8 Dr all. See 2 3 3 i} 3 4 6 Goce 2: ... 4 3 4 4 Speer hese 3 2 3 ow: ee: 155 49| 77| 78 bemalieay | 137 22 17 12 De OBEN A 4 5 2 6 id Fiat Ol 09 Rie | FS 30) IB eB eg eke oe 3 1 5 3 7 : 1 4 . 4 3 2 1 3 Q) oy) 8 3 6 3 5 2 7 6 3 - 3 B 2B 156 DR L. BECKER ON THE SOLAR SPECTRUM. eee. High Sun. Low Sun. [ae ie ie Ose. Freq. | 2.8 |.o% 3 x 4 5 | 116 | 12a] 7| 9 | 180] 18a] 186] 23] 27] 81 | 470 a8 |258 30 | 44 | 388 | 47] 87| 87| 386| 40] 40] 21] 86] 81] 86 34 lesa 2°4 13 28) |\1e9.)’ 18| 69 |; Ib| 16] 10.) 18 }e86.) Saba (0) 4 ; 173929 2 4d | 5749°49 2 2 2 2 2 2 4d| 2d) 3 nae 3b 9492 2 ee 9:05 2 2 SA || eal ere Ure PH as L liees ogee eee 957 5 oe 8°56 5 5 5 6 6 6 5 7 6 ane 4 970 5 7 8:12 5 5 5 7 7 6 8 7 7 FAR 6 979 5 7 7°83 5 5 5 7 7 6 8 7 7 te 5 173990 1 3 7:45 2 1 2 3 1 2 2 2 3 aa 3 174003 1 3 7:02 2 1 its 3 1 3 3 3 3 Be 3 014 1 3 6°67 2 1 Fae | oae 1 2 3 3 3 a: 2 028 1 250 6:20 1 Sie Seeoll | sean ecesan mere esis ota |p ore 3 Bolas 037 2 10 5:92 4 2 3 9 8 8 8 9 8 8 | 11 046 1 ied 5°59 1 300 as wos Hees 051 1 4 5:44 2 1 3 3 3) | 5 3b 063 1 9 5:05 3 1 3 8 6b) 7 7 6 Td| . 8 | ll 066 1 4:94 ont 1 Bae Beer dosed 2a eee 083 iL 3 4:37 2 1 ge Dei eee | bs) Lav ll See 3 Ae 3 O91 |... 21 4:11 un Bei has it ees: || Sees char He Dal eee she 097 2 5 3°94 2 2 ae 2 5 3 3 br Pee rs Ae 5 108:|| 2 6d 3°58|| ... 2 OS bol 3 | S38 ilies "11 6d} 5 123 3 3°08 3 3 Ba (aes 3 eit mae 3 4 ose) ae 134 1 4 2°72 2 1 cn 4 3 3 4 3 4 obs 4 146 1 10 2°30 3 1 2, 7 6 6 8 7 7 6 | 10 156 6 ae 1:97 6 6 6 6 6 6 6 6 6 7| 5 163 2 ate 174 2 2 Sid fear |lt erste itn ts w'ou |e Ean eorccnm | eee «oof laneee 171 2 44 1:49 2 2 745] | Sa Meera eto al Wend 2 2 Avie 183 2 4 1:10 2 2 2 1 2) lees 2 3 4] 3] 192 1 Te 0°80 ites nae 2 Sr (ices iste ae wee eRe 210 2 4 574019 3 2 3 3 3 2d) 3 : es) || 220 2 eat 5739°86 3 2 mats : ae jelsty [tee Tene 31a 228 3 44 9°59 Be 2 3 3 2 2 4 ~) | see ie 242 1 4 9:14 2 1 2 3 2 wis 4 : 4|.4 19 260 3 4 8:57 3 3 2 4b {3 2 3 Aaa bd 3H 268 | 2 5 830] 4 g 4 i 14/4 415 \ 13 282 2 11 7:82 4 a 4 9 8 9 8 8 | 10 9 | 11 7°53 2 ‘ 293 | 2d 5 Beate \ 3 st 1] 2 2/3] 5| lea 302 2 5 716 Bat “ie 4 3 3 3 4 5 4 3 By 5) 2 ee 6°75 2 1 2 Le 3 3 | fae, ||) ection ee 323 1 4 6°49 2 ee 2 : 2 3 3 4 4 By) Bom | ste Jie ht 635i] | 3. ae ts he meee | Bao || & 3 5:96 fete ba “te Bie! tue sae 2 3 By 346 2d 9 5:74. 2 3 3dj 7 ii DWE 7 7 8 9|,. 71% 362 2 4 5:20 3 2 PEN Bie asd Bee eee 2 NN bbc 4. | oso 378 1 4 4°66 2 ad SO Ahes 3 3: ll Bas 3 3 4| 31. oa 392 1 Mate 4°21 2 1 -50i| (eter Iecee CROMER Aso I doa 2 | 4.01) ee 404 1 if 3°80 2 ‘nt > | I ae 4 3) || Gut 4 4 7 6} 4] 7 3°27 3 423 | 2d 8{ ay \ 2] 9 a4-6|°s5 15 ee 6| 6) 8| (sam 436 1 4 277 ee aah ah Cal | eee ise mete | are 4 2 3>| 4) 446 4 bide 2°45 3 4 eas Al Gs. 5 3 5 5 3 4 453 1 te 2°20 a ane E 74.4) |) Bae eeeene | Beate aoe |) feae al Gece aan 174462 8 5731°92 8 8 8 7 6 8 8 8 8 7 6] 5 DR L. BECKER ON THE SOLAR SPECTRUM. 157 ieee High Sun. Low Sun. S © Ose. Freq.| 33 | o2¢ A 4 5 11d 7| 9|136|185] 28] 27) 31] 32| 470 ae| Ess 30 | 44 38 37 | 37] 36| 40] 21| 36] 31] 30] 36 84/8 3m 25 | 12 2°6 Whiley Gi): 01 |..9)| 15] 84 Ie gael | ae-| | 20 (0) 4 174476 2 4 5731°46 3 2 on 3 3 4/ 4 3 35 )|) facts \ 3p 489 2 4 1:02 3 y Ht 3 3 4 4 4 OF ee 502 1 eee 0°61 oe 1 Aer bi seieta Mime. || seek |heees al Eee lites 512 1 5 5730-27 2 se ae 2 3 2 5 4 8) I sae 522 2 9 5729°95 3 2 ; 10 6 5 8 6 8 | 10 9 \ 12 527 2 9 9°78 3 2 16 5 8 if 8 | 10 9 541 2 4% 9:30 2 2 et Beet itech lDoooh eas AT ots, I Bem, lela 553 2 7 8:92 3 2 6 5 4 5 5 a 7 6 5 563 2 "f 8°58 3 2 6 5 4 5 65) 7 7 6 5 582 1 3 7:95 2 3 4 as 2 3 3 3 3 ms) | (43) 76) 3)) a. | a. 4A 8p| Ailend. , 596 2 ee 7°50 2 eae =a Reg ft - sod oi corti | oes Nears ae nat 606 7 10 718 uf i 6 10 7 6 7 if 8 kis 1ld 612 3 9 6:98 3 3 4 8 7 6 8 ie 8 618 eas 6 6:79 bis na Sie 6 4 nleere eli. acct [ee 628 2 ae 6:45 aoe ba 2 ot eeeh[Precs 3h lease || wes 637 1 3 6°16 2 aS 1 3 642] 1 | 3 G00eoth Ww |}... hi ee: ial 3 \3 Se) 651 2 ik 571 2 $a8 2 sagt IB coee Bacal ies cctllnessey lll eae 661 2 iste 5:39 2 1 2 1 2 2 2 2 2 682 1 3 4:70 2 ae B. 2 3 3 3 3 eri 3 | 4)| 454] 3 | 2 | 3 _ tape | 699 1 9 4:12 2 3 8 4 7 Ut 8 9 9 9 706 2 “a6 3°91 2 2 3 is ect motel trode meee ae 711 1 4 O74 ||... 2 sec 2 1 3 3 4 4 3 3 723 2 oe 3°34 2 1 2 soll Node ans j chill ete ae 734 ee Py! 2:98 i any a, scott Passe ake eee hit ae 3 1 Six 740 | 2 ABs 2°79 2 1 2 DE tessa [ora TMPcce ata c cdi lltegsom, il! sa Shs 754. 2 6 2°34 3 he 3 3 6 5 3 4 4 6 5 5 4 762 2 10 2:07 3 Nes 3 3 9 7 5 a 7 9) 10 | 10 | 10 766 1 4 1:92 Bae 2 ae gh 4 3 3 4 4 i 782 2 Be 1:40 2 ba 2 DO} Besse DEA ee AY cctt eects 2 Bee 793 3 5 1:05 3 3 4 4 5 5 4 5 5 5 4 5 4 800 3 0°83 iets Ree 3 Alt ose l eeeentee se. | pceealageers i sikeh “Hewes teen lage 810 2 8 5720-51 3 2 sac 2 8 6 5 6 6 8 8 7 7 827 2 5 5719-94 2 2 3 OF lh Bexpalleene 3 4 4 EE | eee tl teeters 3 833 | 2 11 9°75 3 de 4 3],10/] 8 6 8 7 So ell 9 |; 10 851 2 8 9°15 2 2 3 3 8 7 5 6 5 8 8 6 a 856 1 8:98 3 SB ae sod Ah ook We colt al cceee Musi taahieeete lt seer Niespa, Wpbaee- |([berds 865 il 2 8:70 2 Pao al ete : sectalhasece (ase [Miser 871 2 4 8°51 3 2 2 2 3 2 2 3 3 3 4 2 2 878 I ne 8:26 1 abe ei deck, eect ltteer 2 886 8 he 8:00 9 8 7 8 8 8 8 8 8 7 8 8 6 897 | 2 9 7°65 3 2 4 2 9 ti 7 7 7 9 9 8 8 904 2 eat 7:42 2 Abe aR wear Wace Ae are eset iirc Ibe otys 3 913 2 4 7:13 2 2 2 ia Wee eh ie, 2 3 4 3 3 3 928 3 ee 6°64 2 2 3 3 2 3 2 3 tl (Neal lees 2 933 | 32 ee 6°47 ||... 3 she bee Ba oe call eRe He sllibaee as) 3). cic] 2} 1 | 2 | 2 Bue S 2] 2 952 1 3 5'87 2 2 “ae 2 2 2 2 Meee 3 3 2 2 174962 2 5715:54 2 a3 Ace 2 2 DR L. BECKER ON THE SOLAR SPECTRUM. 158 TAO AON EON ie EMM : : : : 50 36 16 7 | 2 8 2 > POD OD NOMmMMOON 100 DOWN 1M NO 1H rNND 11H OHHH rH CN KR SS tae lee 55 Oo NAM HN PDO tHE 1 IN ODA INKeHAAN 1H 260) 2 B= SSID GNA) eH eH eo! = eo) Sie) cu! Go | - tS SARs "qo > :N sa "COR OM OID SNH OOM : 1:DO rN we TOD) tui) SkCO 2 eich emeH CO CQ GICs AG ee HIG (Sa) OC eat 1 - So on) SN 19 CO Nt md ace et et Pace n spe ven |Pcteates Ve rices) Mee GW Te MECUNCL Mees ST RMS". TeieEse OME IRIS: wie xoae Sac cae” mhre Fa i aR | co :N © FO Saat SSH [Mh CO :h OH 2: 1 OOM : :-OM : & or) (oa) “wD sH BGS Ht OH >a st g nN Serica | mimo HOH ~r19 006 tH aD :Ob> ica) HO 70 INH HR HID 119 PHO E | . cae - Bes oS | ~ MDA AN :HH ‘eh 11900 3: tH ODD =: Os 1190 ONMMONID :ANH O19 11919 1:29 119N oOo nm | as) Pe as | oi: & CD: SHH MOO :HRWM DH OADM mr 6 oD wid osH :HOO sh 100 tH SIO SH txt 31969 0 _——— _—vor : Soe ee | ao:in & Frm datal = | ota har ee ha reese 2 meee amc ten st Ml Aaks- Mea Wig Rete ice, Loh Noh Reh larly Porc’ ciouiek Sia ellis Suen get sav ak va PS for) AN 0 2 ris) co co CON co cOcN Xo Oo ie‘e) To) H sH 1d OD oe) a (oe) es ean as & | co 7:0 0 CO 1GI SH OOO SNON oO Or fe oe) ao oO :& wD ID POH PH ODIO cr) | oleic! Om ++ 3:0 :HO 3M INO 1:0 : EKO ts IR ONN s OMNHD 10 291D 10 11900 100 HN O a a) a BY OAD H ONAN Sk 2 SON GID : GON +: 119 c9 : 3 ION s 303 30 3 310 [SH SCORN 119 for) fo] re A . . . . . . . . . . . . . . . . SS ee | for) HOO HANAN con ~aon on ne) oon O10 N 1d OD (ee) 1D Ht TD 210NANANH =: O&O a iI Soe | . . DOOM AAMADHO AHODONWKHAYe TPODDARDOMAO BVOABOMRORHA SENODHWOMWOCONA 4 ABPBOANSOAGDMe WOAROWOAPRONS PIOASHOORBDON AHBOOAEEOASD GHOMm Mae ta K LD HHHHHMMAN ANGMAR OOCOO > G>S9, 9909 CDG oe milo MOD OO ID ID DID H HAHAHKMMDOIAAN = ret re - ~- ~ 1D wD 19 Ne) : *MOZIIOFL =a > > | ey} uo soury see) : = SmmEHIED OO). og ES), se ison or) ~ H le ia so eer “ie ee a2 : = a8 a8 co | OLN] ][9,L as i 8S Reo ac sopnjzty,V OAH HAMANN ALMDAABANNNAN ABANANRONNA : HMAMADNOGAINW A :rnOAAQNAdteH unripe 32 © g ot | HOD H DAH HMARDMDMANDARD CMON H19N19N1ID DINDMErONMAKer OMHAANADDNDHINN © 2 ~rMOD OC CNMHH VDSKRKEDHOHAN HHNWOKRKRDROH ANNHAMOOOKNMD QDOFAVWTTOOe &L oa Sea = SOSDCSO COSCO SRAAAH AAA NAAR AN ANAANAAAAAN AOD 09 09 69 99 99 09 99 9 = 3 ~- ~~ he ~ 5 — a4 am 159 DR L. BECKER ON THE SOLAR SPECTRUM. Spe os | Ser) TANG 110 HHHOM AN ON : MD LONNIDH :H 1910 oP) 1d SO A219 rH HOH 1910 | me . . ce re ° 3S ES 1D o> DT AMAMDO 19 1907 7M MD : 1: ONMEANMHAW 1919 1M :1NMHMO DM MNDOMDreAHIDN CO st SS _—" us} eo} HOOMD oD ON HOO rH OH HOM 2 : IDMHON 110H rH wR FA 1 WMWMWNMDO ADAMDWINMDIDMOH OC Ss So Ss ae 2S ee AOMmMD 19 fo) HoH rte 10M 10H 110 eK HH SOD 1d SOrIDDAHO & oO — . . . . SE) 1a oO or) OO: 19 Oo ar) pe, ao IS | — pa 4 ali Ca am Rek ec, CORR Re Cato wo co o rv S COR Ona! sH 19 H Ao oO H 1D oO or) H DON 11H oD OD OH sHON 1:0 CH 3:0HNIOHOH OO | 5 'S ie co 8 8 10 2 OD 10900 11 1D mm : oo + i ei ay igi G) = (ecco col as ID NAN 1WOHH HO @ & . . . A . . . 3 is a tal SH CO OO sND OS 19 1: H xo COOH 10M 1H OO eX FH SDH Yen) TOOMH 3 119 OD Se | 1) GO sH Gees) Yee a Gey Soy Gr) So IN OD ODO OD 1D 1190 rH 1D OMM Ee MH SCOOH ERE MHS D Rel ya | Got Noi io) ID OD eH HHIDIDHOMWMMOH +: 19MTM1INIDN 1010 :-H Me $7 110K INO +: MAAMOMAH & o oO Nay dey 2 5 orm 1:06 oD HHA 5 ON Sant 2 sant Sool won 3:09 ioe) be ne 6) Y 5 © 2060 N19 OD ON ] . ; : : a nS aad er) SS 1D 1d or) fe) Wey 5) = moist Od ra & in aN OW AN 3:0 + HN OD jan} Lan! oS eS Pe ae Se ees | Ord :HH NH HO OSH OD OO a OO 1M Oma Ht 100 ABAD NO AN 3: mode O AN A re SODDOrRANHH DWODHONDGS DHODNDNOIGIONMDNAOH AOHMHDAHAEOAMD QDOIANANANKLHDOH © Genepits2 ost! Op nbs US) teh eps SSCS See Ca Ste G0) PIOASDOSMDABDIOID OD-ONDOBDIOVDE-O ASDDOTOHONDY Py PERO NECN E Doon ere CODD Orr WOO OININIDH HH MAMNDNMAAAGH eh KE OCNS ONE ECS eS tS wo © oO We) 1d 1D 19 19 19 Yer *U0Z110F oS o aN ae ~ = 3S Sy orion) NA 1:OmMo & =) WS) Ser Cost 1000 We) 2) Oa) deere) HOOIND :Ho a | ou} uo seury = ae =| Hen a 8s mg pa g 2 OLINT AL, RES as 5 | A sopnyy Tv MOAN tHe OHS 1D 10 AIH HN HR HKHMA NOH © PHATANTMO AN 10 OOH A . . . * J ¥) ee Pica Ae 7 ee ee ee eae eee SEE ee ee ee ee EEE wunTpeyy 32 @) | M. 0 DR L. BECKER ON THE SOLAR SPECTRU 16 DOD odo mIg HH —— NO HD Ah 1DNOWMWADAN OO reeNs HN MOMHNQRAN or) LODMMA 1019 10 “So” 10 = CRISES S'S Sip IDD LOAM NMIDA H1919 1:0 2:79 ON AN Te NNO Foo HH ~H PO rH IR MONN HO ERRAND Phe ERD DOMON 100 he O ie) o :c0C 0M MR 3019 AN NOH 30 3:00 3H ee eee eee ee ee oO SH SH OO AA :000 ee a ee ea = A nanan Nn xs xt mH :ONNO AQ oO SONNODA HHH HH —“S— Or) HN 10D 2m =) — g ALS fa for) or 19 + O :H :c19 00 190 1: O HN iH COSHH 10 HN Xoo 0 tH of Ee 3 = ry it | +O SENNkS dH oH 7 :H :RO OOM [OD TO TN 3H fs HHH SOND OH : : 2:29 sNONOS dH oO | a i ce | OO b= :N 00 OSH SH H DO fH CR OR NN HMM TRON N rH ts HHH ONO 2 aD). 4e TALON Oe OOD OSH Ine) a ae ee ee es | [OO INO OMWHOD 10 :S re orn: 1S) 219 360 2ed 2 HOD SH © 560 2H = fest MO Ca + A Nn et ae bry ey BO OTe) Gel Geyer) "ld 500 2 COCO GY + $O 3$OO fs tN 06D so IN oD DIONE: : Sea ek eH! =) 5160/0) oH = SH 5 tH SOR ONN OHH Re 1ON : st HOH OH CO 6D OD 2 22D) 2 64 OO es of SHH «of 2 ss 1 1D H 10 3219 2: RIND +: OO :OON : 210 1010 ork Bes [Or sh +0 © 219 eee nS SSS 88 Ss = Qe RGSS SN 2 IN INN OMMOD SCO HICOGN! SIGN) Gigs! (COieO- = SIS a) | a) ANE A : : > S 3 A i 3 yt POOH INO HN TD INNOIOHMN :OHOM IN INM MA INENMHM : HIEMANANKR ION IHOAMA A 3 = “NN r . A . . rs ; . . . ° ° SS a a a 5 ee ee RT 1) mo SN £200 5 1D RCO MH ft MN TR ONNN 30 HOF INN tt MONN HO EINMM EN INNANO -4 a ee] ~ re . . . . . . . . . . . . . . . . . bu = = | 5 11D rN NWOMAN 1 tN MOUOHANN [OORr O INN st ONN 1:ORN SN: 23 2.GN Aker + a ate . e . ° . . . . . DODODADADAMW~ OMIM DOOMMOADO DtHtHrhrHOODD DORDDHAOKMH OR HDOOANDAN 0 NOODNSOH HOR POWOAROHSON SBOMHRWEHARDG PAEWALOADE HOMO ABHK HH to) cS 8| 8 | 8%) Olle 754| 3 758 E| 2|.3}) 2) 1 3|.3| 2! 2) £| &| 3) 220) seme 766 | 2 7:20 \lcins: ah ese A cee ee ee ee ol fs 2°| so: eal 776 | 2 6:89)... | 21) Se eeeneealaonl 9 | ob) Sa 792 | 2 637 |... 21, 2 eal cl, 1) 2. 799 | 1 G13.) cdc 2 ea eee Wee ook a oe | ae 1S hor 5-70 847 Taweaimeeal 64: 7) 7 71 8°) Sonne 823 | 6 5:38 ||... |.61 61 GWevi wd 6) 54 6 6| 7 7 829 | 4 || eee pee! Meal ea! 3] a 4| 3 4\a 841 | 4 479] ... 4 4| 4 4 | g44| 4 4-70) ... hats \3 av 4 4 we 4044 4 851 | 1 AraT Nc Wace: Meee All Seed OEE AL se cal ae 1 864 | 6 4:08!| ...|.64 Gil) Gabovaiei) 7il BA 6 6| 6 6 872 | 3 Sra2i| 4) 2a ak Beales, 3 s 3:41 es a 884 | 2 BAO || coll 2 eed...) 24) 2 sollte 2 s92 | 2 B16'| oA als alee =. Pee ee $5 2 899 | 2 2944 0. [| 2 Mao... . 2} 2 2a 912 | 6 2°54 0.5) SaOlr ad 61 54 6) 6 6| 6 5 goo} 2] ... 2-23 2} 1 4 z a 3 928 | 2| (3%| 2-01 Bets. sok. 7 wa ae 2 OSsal ep lis. 1-71 Bi) Saeaecnle6 | 6116! 6 5| 5 5 943 | 2 1°55 vee hee * ee 2 953 | 2 1-21 Balen Oe i 24 ce 2 2g 962 | 6 0:93 6a) Gila Wain 6 BMF 6| 6 6 970'| 92 | *.. 0-67 Sse Prema fa) Bal Das. 2 2 977| 2 ... 0-45 Oe ic Cee ee ae ie: 2 986 | 5 5650-18 5) GU MDM Cow 6 44.16 5| 6 6 176994 | 5 564991 yo eM eerbul Bl. 41.6 5| 6 6 177004) 03/1 & 9-60] ...|.3| 84 4] 38) 4] 4) 2] 4) 4-|..1 3 | 2 O13 ind |e. 9-29 3| 41...,.31.4).4|.3| 3]a.|.| 3) sn 029 | 4 8-78 B le Sa we) Bal 4 . | 3| 3s 039) 63.) ae 8-48 Silas We S441. o 1 alee 3| 2 | 2a 053:| 33°) bun, 8-02]... | 2) 2 1] 2} 3) 3] @)..|..|-2) 066 | 2 7A |e eee)" ks | al ae ee . (2 o74| 4 7-37 4} 4 Ca ai 4) 4 . | 4] oo) 084| 1 7-03 4c WE Sa Ack a See | 090 | 4 G:85i|_.... Bile ae, a1. BB . | 4/3 | 2a H63)| 62:| ... 6-42|/ 1 l wl a) SBA 42) 2) 2 | 21 2) i ore | i oe 6-30 | J | es ae 595] ...| 4] 2}..) 8/4] 4| 2] 3/../..] 3) 8a 12201) 06°). 5-76] ...| 6| 61 6 6| 6| 6| 5| 6]...|..| 5| 6|.c)/— 55005)... 5°30 |) 3 2| | eae! aa Ve 2} BARAL tS 13 be 3] 3:2. |... | alee 13 | elec 3 aoe 4711.0] Dal SWiebiliese docce tl scot] v.02] sav coallltsce |e. en cn 165| 2] ... 447 |. | Bhd oo] 8] ut. | ef eee laee | ose (nh 1705) S641 -z.; 431)... ) 7 caeen | 6 Be 6 S| 176| 95) acs, 413]... ] 5] 5 pate Bl 41) Bale ee 6 | os ae rT) Obes eae 362] ...| 2/ 3]..4../ 3] 2] 3] 2]... |... | 2) 2 177197 | 29... | 664344] ou] ce | cee Pood] eed] coe) | ee] sce] seal cta‘] oem | es |r DR L. BECKER ON THE SOLAR SPECTRUM. 165 Ose. Freq. 177204 214 225 227 242 255 270 279 292 297 308 313 322 336 341 356 360 366 373 382 390 405 420 433 447 455 474 482 493 496 512 518 538 559 562 576 580 588 608 618 636 645 659 667 679 689 693 709 718 740 177752 Mean Intensity. Altitudes. Telluric Lines on the Horizon. © at Medium 5643-22 2°91 2°55 2°49 201 1°58 111 0:82 0°43 5640:27 5639-90 9°74 9°47 9-01 8:86 8:39 8-26 8-07 7:85 7-55 7°30 682 6:36 5-93 5-48 i 5-22 “6 4-62 (2 2) 4-37, ie 4-02 3:93 " 3:43 (22) 3:23 zy 2-59 1-94 \ 1:84 1:38 ae 1:27 (2 1) 1-02 e 0:39 5630-06 5629-49 9°22 8-77 8:50 8:12 7°80 (1071 Gay 6°88 6:19 5°87 lp oe2o nT coun | & —~ <> DoDD POD FP PDK KH bo D DOD wD DD SE IEAES TES PISS “IWR WPOWNWWrEDP WOW DO ob Ww w nm Qa VOL. XXXVI. PART I. (NO. 6). High Sun. Low Sun. IA BeN. 7 9) @eoaAleorell 28, Si AAS 238) 37'|\. 37°) Laummaes |) 988 | st 12a 25). 15.1 serGulmentoul 119 9 4 5 4 5 5) 4 4 3 4 3 4 4 3 3 2 3 3 3 3 2 2 5 5 4 6 5 6 4 5 8 7 7 8 8 8 0 8 6 6 5 df 6 7 5d 6d 4 5 5 5 5 5 4 1 2 1 2 3 3 + 4 4 3 3 g 8 9 8 9 8 8 dat 2 ah 3 3 2 6 7 6 7 7 3) 6 6 6 6 6 6 5) 5 5 5 5 6 5 4 5 3 3 3 3 3 2) ||, Mele 6 6 7 6 6 ai 6 il 3 ear 2 3 fie eats 2d 3 1 2 3 2 2 2 b Es b oat She 2 2 ie 1 7 8 8 8 8 8 8 Bee 2 2 1 2 2 Be 2 2 2 (4 5 3d Ad 3 14 3 | 2 9 | 5 \ 3 2 oe 2 2 2 2 1 &: 1 1 3 coe 1 Ric 3 ace 3 2 4 4 4 5 4 4 4 4 5 4 2 2 at 3 3 4 5 5 5 5 3 4 4 3 3 2 2 2 3 2 3 2 3 2 3 ane 2 2 4 ite 4 { F fo] 5] 8 39 23 CO ww: WNwwoawon on: Co: eS ppwo: BRE: bo bo bo Or oOonpnwmnwmnmowroa ob: Ow: Do bop w eo bonow : Pie bo: Q 2C OH Oo O10 OI: ew bon: LDNWwWEEWE RE: bo 0 is Dra NMNOAWERE AW! HONMWNMNHNH ! TNA®AA: www | a & & 164 Ose. Freq. 177763 Ci (ie 787 790 804 818 837 842 859 879 889 899 916 930 943 952 957 973 982 177994 178001 019 021 036 050 062 068 072 080 088 098 113 121 131 146 157 170 175 189 196 205 218 224 242 252 261 275 281 295 178305 Mean Intensity. (} at Medium Altitudes Telluric Lines on the © Horizon. me to bo bh OL OT Oo Oo ae Nae See WwWwWwnntrFrobnpb o& — Ss KF PeEDPNWWHeE RW HNWNNNWEREONYD NEF wv) = a DR L. BECKER ON THE SOLAR SPECTRUM. 5625°46 5°20 5°01 4-70 4-61 4:18 3°72 3°12 2:96 2°42 1:80 1-47 1-18 0:64 5620°20 5619-77 9-48 9°33 8°82 8°55 8:16 7-96 7°38 731 6°83 6°41 6-01 5°82 5°69 5:44 5:20 4°89 4:41 4°15 3°83 3°37 304 2°62 2°45 2:00 172 1:50 1:10 0:90 0°36 5610-04 560974 9°32 Daily 8°67 8:42 5608-30 58 1:3 High Sun. 5 8b 44 58 aD) 1°3 6 1 1 9 D) 3 2 2 3 | 5 2 1 2 2 5 it et 1 E Pe 5 11 12 Rts 5 7 8 6| 6 3 5 2 48 Dy 3 2| 3d 2 3 mr S. WwW NFP NWNWMWWNRF Fw NWNWNWNWHNWWwWNwWwabd lor) TIN WOWONDWHE WwWRwWaAT: oD: —I—— mob WT: ONMNMNWOUWWH =: PSCC Ss COMI = Bois wo: Hm: Go; Ss (Je) = “TI ww 0 ROGes cs Low Sun. 27 | 28 36 | 38 9| 16 6 bie 10 9 1 3 4. 3 ; Yel ae 6 5 Bd eee 3 = 6 5 2 yy) 10 | 10 4 EK 3 3 3 3 3 4 3 39b | 42] 45 30 39 | 30 12 20 14 | 6/ 5] 6 me 3 | il 9/ 9| 8 | 6| 6] @m 2 | 21 3 \- sue | 3 | 2'| iam 3| 3) am 3| 3m |. 4| 3 om 6| 5| 5 + 3 | 2a 7| 6 | em Lo;| {3 a 5| Bal 5| 2) 2) aa 2; 2) 2m .. | 4) 11 | 9 | 10d) | 4 6| 7| | 5| 5| By 4] 4) a .. | 2 2 ao . | Beit 2] 2 DR L. BECKER ON THE SOLAR SPECTRUM. 165 eee High Sun. Low Sun. S| SB | Ose. Freq. |S 2/22 | a gece 86°] bps ei, 10| 23] 27| 395| 42| 48 mals ee Fela 58 | 4ol 38 39| 21| 36] 30] 39] 34 67 me 13] 12] 13] 17] 20 9 8.) Se) tan\e ts | 87 178322 4 5607-82 4 3 4 5) 4 4 4 4 4 4 329 2 7:60 a8, Ae is 2 sa sue 341 3 7:24 3 2d 2 3 3 3 3 3 2 347 2 7:06 ore Son xp 2 an a 359 2 6:67 tae she 2 2 2 te 2 374 3 6°19 3 2, 3 3 3 3 3 2 380 3 6:02 : 2 3 3° By 393 2 5-60 ish 1 oe 2 3 2 408 3 5:14 2 2 3 a 2 3 2 2 2 4929 2 4-70 2 2, 2 2; ane 432 2 4:38 2 oe 2 2 Pate 2 1 446 4 3°93 5 4 4 4 4 5 5 5 4 4. 454 1 3°68 2 =o ae 462 2 3°42 Baz 8: 2 2 Pe alll wedi: a B 472 9 3:12 9 9 10 10 9 9 9 9 9 9 10d 478 9 2°94. 9 9 10 10 9 9 9 9 9 9 \ 485 2 2-70 3} E a 2 B 1B), 18 2 Se 494 1 2°44 1 1 a, 501 2 2°22 2 2 2 509 3 1:96 4 3 4 3 3 3 925 9 1:46 9 9 9 9 9 9 532 3 1:23 1 2 4 Sites 541 2 0:95 Il 3 545 | 9 0-84 eee 8 } 80 2 558 5 0:44 3) 5 6 6 5 5 5d 565 5 5600-20 5 sae 5 6 6 5 5 \ 576 | 2 559986 | peulae 3 578 2 9-78 yh és 2 Riety | pete 590 | 2 9-42 | Sauipe a: | too oS 602 | 2 sel 13 5 Ae 614 9 8°67 8 9 9 8 9 8 8d 621 8 8:45 i 8 8 ai 8 8 i 635 2 8:00 3 2 2 aE Ne a 641 2 781 3) AS. ae aoe 647 2 7:63 2 2 2 I ae 659 2 1:24 2 2 2 2 1 675 1 6°74 —- 2 La 686 2 6°42 2) 2 2 2 692 il 6:21 Il 2 2 mon | 1 575 1 of 2 Il 724 2 cee yy) 3 Be: Y 3 eG Beak dee 112 | eevee | ere 2 By Ah hee (eis) “i as 4°87 i A: 7 a me (Go| aa | Ae i it 9 742 9 its 4°66 9 a 9 10 a Sralllesee ital ers 9 g) \ 754 2, Lae 4:97 ahs ae 2} AO vx Saul eee elon oh bs. y 3) i) see mo} 6! ... Seo sole es 6 Gp ae CHMACMMG hee ites | Sa) Da) 05 775 1 Ace StO2s |e ae. S58 dna 1 ae BAS Goo || sooa,sl| epee ||Leneene eters eee eee 780 2 Se 3°46 | 3 Bent 2 2, ae SA eh | Sete leese.< 2 Git ez 791 2 M2 3:12 aes a Lr 2 =a BO I cbo. | -ooc kl Sneeae| Ns om |e 3 800 3 vas 2°84 3 an 2 2 ise Be 3 11 | evan eee 3 By) ce Bis| 7| |. aed 6) 7) emer rly 178816 6 ste 5592°36 6 ie 6 6 on } le By an eee 5 a | Mee | Le 166 DR L. BECKER ON THE SOLAR SPECTRUM. intent High Sun. Low Sun. ' 8 eS ; Ose. Freq. | 3-3 gee ‘ 3 8b 9 7 9 10 | 35 | 398 42 43 as Ears 58 58 40| 37 37 39 33 30 39 34 @4/S8 ox | Sasge) a8 eee ay 18 9 24 10 16 35 © 4 | 178825 2 5592-05 | 2 2 ee es sine 840 3 1:60 3 2 3 3 3 2 3 848 2 1°36 are 3 2 Be i aa 860 3 0:96 | 3 863 | 3 0-88] f fees \ 3 , eeiliees { 4 } aie 873 1 0:56. wee i Sec a an be ay oe 882 8 0:27 | 8 8 8 9 9 9 8 8 8 890 4 559002 4 4 4 Bee 3 3 4 4 oe 898 1 5d589°79)\|_ ... ae 2 Bye es 905 5 9:56 5 5 5 4 5 5 5 4 919 | 2 9-192. -. 2 a 2. |e 925 | 10 8°92 | i) 10 11 10 10 10 10 10 9 936 2 8:60] .. By 2 Bae ae Tid oe 945 | 1 8:31 || 2 1 2 ie f ase 955 6 8:01 6 6 5 6 if 6 6 6 5 964 5 ifs 5 6 5 6 6 5 5 5 4 : 973 | 1 7°44 2 2 AF ‘a 982 3 7:16 ech Bs 2 aoe 4 ane 178990 | 11 6:90 11 12 12 11 12 10 11 11 1l 179003 2 6°49 3 3 2 ee 2 te 014] 1 6°15 Bs. 2 8 | » = 022 2 5°90 2 3 2 tia 2 2 2 043 3 5:25 2 3 2 4 2 3 2 3 055 6 4°89 6 6 5 5 6 6 6 5 5 062 2 4:65 se bad 2 ace ie aie 2 uke 078 3 4-17 3 3 3 3 2 3 3 2 092 2 S(t 2 2 2 1 2 2 ag 101 1 3°44 2 Ace “8 ila 2 3:12 3 2 2 1 1 : 2 2 2 118 2 2°92 3 2 2 Bae Nee Ace 135 2 2°38 2 2 2 fee B site 2 BAG 144 9 2°12 8 8 10 9 9 9 8 9 10 9 146 2 2°05 wee Bo 2 ah BAe Eo ode cae || 160 | 1 159. |) a s 2 2 | 2. i ial 2 1:26 2 2 2 1 ; ade 2s 190 2 0:68 2 2 2 2 2 2 oa | 195 2 5580°42 | 2 2 she bce Pe 212 2 5579:99 ak 2 2 2 24 229 3 9-47|| 4 3 3 3 3 3 3 3 2 234 1 9:29 Re te 2 dire ee ian 249 7 8°82 8 a if if 8 7 6 7 7 7 Posie 2 8°58 2 is 2 3 535 ee 1 nec oe 267 2 8:26 2d 2 vs 2 2d ie 285 1S, Witz 1 2 Des sete 2 a 294 3 7-42 2 2 2 2 3 2 3 “a3 | 303] 4 714) 3 | «Sale ee 4 | 4 | a DLS 2 6°83 2 2 atts : en ae nn 319 1 6°64 Aes oat 2 les she eas 333 9 6°22 9 9 10 11 10 9 9 9 10 9 344 2 Hoe 5°88 1 2 2 4 1 a ee Li9SOD Neen. 3 5575°D3 2 2 3g Ose. Freq. 179365 370 388 405 412 427 437 444 459 466 474 486 492 506 514 524 530 541 556 564 574 585 591 600 612 615 627 633 648 656 668 674 685 693 707 715 722 735 744 753 758 764 “7a 782 797 812 823 828 845 179856 DR L. BECKER ON THE SOLAR SPECTRUM. Mean Intensity. Altitudes. Telluric Lines on the Horizon. © at Medium 5575°21 5:07 4:50 3°98 3°75 3°29 2°98 2°78 2°31 2°09 1:83 _— Om Wr cb bo 1-48 1-29 0°85 0°58 0-30 5570°11 5569-76 9°29 9:06 — WD FO FHWNHREATW DDD WrKOrPWwWhrNeHepww wwe . . . oe) Woe worKwoo = bo Q ~ ce (=) rs Do NDR wnwnwnwnnww we or bo qs Ot 5560-02 High Sun. 3 8b 9 7 58 58 40 37 ome | 17 30 2 2 2 ate 2 2 2 3 2 2 3 2 Bo 6 6 6 7 10 10 12 12 2 3 2 2 2 2 state 2 2 2 2 ane 2 Ae 2 2 2 2 2 3 10 10 11 10 ee ysis 1 3 3 4 ns a 3 3 2 2 ‘sys a 3 3 2 3 as 7 7 7 6 4 4 4 Nee abe 3 3 3 4 4 4 5 a 8 8 a 8 4 4 4 eu ais 2 1 2 2 ae 2 2 2 3 to 2 2 2 1 aa 9 8 9 8 2 2 2 mee ii 7 if it 2 3), 2 : 3 me 3 2 2 3 3 3 3 2 2 2 ace i 7 7 6 2 3 own: moO Hs bo: bob: Low Sun. 10 35 396 39 33 30 10 24 9 2 Be 39 D 5 7 6 9 10 9 Bais 2 4 1 2 2 ae 1 2 foe Z 3 2 Geile ot |). 10 aie 2 3 3 3 2 2 2 ns Sie Z 2, 3 2 8 7 5 4 rer 4 8 8 8 4 3 4 2 1 2, 2 2 2 3 6 2 Sas ate EK 2 3 2 sae 3 3 7 6 el maT oo: (Sa PSG oe bobo! Pw Corn : Cobo: wbp: 167 34 33 bo: 10 * ~Tb: bop: bop: 168 DR L. BECKER ON THE SOLAR SPECTRUM. ines. . High Sun. Low Sun. aie Ose. Freq. |:3.3/-2% 2 a 3 8b 9 7 9 10 12 35 42 43 Pelee: 58 |. 58) |l soi, aye sy | 89 | 46. | ° vaBai|) Sepmsunm ae te 18iul U8 de eOmieereom te 20. | 10 9 | 221 aaa 179862 | 3 5559°83| 3 31 | @ oo 88 3 3 2 879 | 3 9-29|| 92 3 3 Ai 2 2 2. gees 889 | 2 8-99|, 2 De ag 2 3 es 905 | 1 8-49 ||... 1 2 a ee PS Ibe 918)) 27 8:09 8 7 if 8 9 8 7 7 6 934 | 3 7°60 3 3 3 ace 2 2 2 sae 947 | 3d Alsi, Sy ped lieee 3 3 3. Saas 957 | 1 Gipoil