.f^i)/'^ V'*^. jw u'ii k ' ^ ^^vnM:^^ .^^^ .r^) ?^.*^>^^ -4*.^ Vi'f^/f.fSrJf:^Pt£f' (Nn ! P R O C E E D I N G S../tG^3Ei? OF THE AMERICAN ACADEMY OP ARTS AND SCIENCES. NEW SERIES. Vol. III. WHOLE SERIES. Vol. XI. FROM MAY, 1875, TO MAY, 1876. SELECTED FROM THE RECORDS. BOSTON: PRESS OF JOHN WILSON AND SON. 1876. II , CONTENTS. PAGE I. Researches on the Hexatomic Compounds of Cobalt. By WOLCOTT GiBBS, M.D 1 II. On the Solar Motion in Space and the Stellar Distances. By Truman Henry Safford ........ 52 III. On the Veiled Solar Spots. By L. Trouvelot .... 62 IV. On Photographs of the Solar Spectrum. By Robert Amory, M.D 70 ' V. Miscellaneous Botanical Contributions. By Asa Gray . 71 VI. Botanical Contributions. By Sereno Watson : — 1. On the Flora of Guadalupe Island 105 2. List of a Collection of Plants from Guadalupe Island, made by Dr. Edward Palmer, with his Notes upon them 112 3. Descriptions of New Species of Plants, chiefly Cali- fornian, with Revisions of certain Genera . . . 121 VII. Specimens of Milk from the Vicinity of Boston. By S. P. Sharples, S.B 119 VIII. On Portable Astronomical Instruments and their Use. By Truman Henry Safford 157 IX. On some Physical Observations of the Planet Saturn By L. Trouvelot 174 X. The Companions of Procyon. By Rear-Admiral C. H. Davis 185 XI. Notes on Magnetic Distribution. By Henry A. Rowland. 191 XII. On the Method of Least Squares. By Truman Henry Safford 193 XIII. Brief Contributions from the Physical Laboratory of Har- vard College. By John Trowbridge : — 4. On the Effect of Thin Plates of Iron used as Arma- tures to Electro-Magnets 202 5. On the so-called Etheric Force 206 6. On a New Form of Mirror Galvanometer .... 208 XIV. On the Solar Motion and the Stellar Distances. By Tru- man Henry Safford 210 iv CONTENTS. PACK XV. Contributions from the Physical Laboratory of Harvard College : — 8. On the Induction Spark produced in Breaking a Galvanic Circuit between the Poles of a Magnet. By B. O. Teirce, Jr 218 XVI. Contributions from the Physical Laboratory of Harvard College : — 9. Condensers and Geissler's Tubes. By William P. Wilson , 228 XVII. On Viviparous Echini from the Kerguelen Islands. By Alexander Agassiz 231 XVIII. On a Possible Explanation of the Method employed by Nobert in Ruling his Test Plates. By William A. Rogers 237 XIX. Mountain Surveying. By Prof. E. C. Pickering. . . 256 XX. Height and Velocity of Clouds. By Prof. E. C. Pick- ering 263 XXI. Contributions from the Physical Laboratory of the Massa- chusetts Institute of Technology : — 8. An Experimental Proof of the Law of Inverse Squares for Sound. By William W. Jacques 265 9. Diffraction of Sound. By William W. Jacques 269 10. Comparison of Pristnalic and Diffraction Spectra. By Prof. E. C. Pickering 273 XXII. On Photographs of the Solar Spectrum. By Robert Amory, M.D 279 XXIII. A New Eorm of Induction Apparatus. By Henry P. BOWDITCH 281 XXIV. Ilydrographic Sketch of Lake Titicaca. By Alexander Agassiz 283 XXV. Contributions from the Physical Laboratory of Harvard College : — 10. Distribution of Magnetism on Armatures. By Har- (H.D Whiting 293 XXVI. Contrilnitions from tlie Physical Laboratory of Harvard College : — 11. Change of Electrical Resistance in Wires by Stretching. By George S. Pine 303 Proceedings 313 List op the Fellows and Foreign Honorary Members 375 Statutes and Standing Votes 383 I'^DEx 395 PROCEEDINGS OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES. VOL. XI. PAPERS READ BEFORE THE ACADEMY, RESEARCHES ON THE HEXATOMIC COMPOUNDS OF COBALT. By Wolcott Gibbs, M.D. Presented, June 8th, 1875. ( Continued from Vol. X. p. 38. ) Nitrates of Purpureocolalt. — In our joint memoir, Genth and I assigned the anhydrous nitrate, Coo(NH,.)jq(NO,,)(;, to the roseocobalt series, upon the ground that with certain reagents it forms salts iden- tical with those which the hydrous nitrate, Co2(NH.,)j(|(N03)g-|-'20H2, yields under the same circumstances. I am now satisfied that this salt belongs in reality to the purpureocobalt series, partly because it exhibits toward the hydrous nitrate relations precisely analogous to those which exist between Co2(NH.,)joClg and Co2(NH.3),oCla-|-20H2, and partly because, while a few of its reactions correspond with those of tlie hydrous salt, the greater number agree with those of the anhydrous chloride. By dissolving the normal nitrate of purpureo- cobalt in water containing ammonic nitrate in large quantity, with a little free ammonia, Genth and I obtained a new salt in beautiful violet-red talcose scales, readily decomposed by solution in water. The formula of this salt is most probably Co,(NH3),o.O.(N03),+GOH„ as the following analyses appear to show : — 0-0675 gr. gave 0-0303 gr. SO.Co = 17-08% cobalt. 0-0729 gr. gave 0-0333 gr. SO,Co = 17-18% cobalt. 0-0769 gr. gave 0-0343 gr. SO,Co= 17-16% cobalt. VOL. XI. (n. S. II.) 1 2 PROCEEDINGS OF THE AMERICAN ACADEMY 0-5480 gr. gave lGl-75 c.c. nitrogen (moist) at lO^'-S C and ToS^""- (h = 118-8'~") = 29-829^. Of)!?! gr. gave 0-20.JO gr. water = G-SG^^ hydrogen, 0-4ot)0 gr. gave 0-2G99 gr. water = G-54% hydrogen. Calculatcil. Found. Col)alt, 2 17-87 17-08 17-18 17-16 Nitrogen, 14 29-G9 29-82 Hydrogen, 42 6-3G 6-3G G-54 Oxygen, 19 46-06 — — The analyses are those made with the salt originally prepared by Genth and myself, as I have not succeeded in obtaining it a second time. The deficiency in the cobalt is perhaps to be attributed to the small quantity of salt at my disposal for analysis. Admitting the cor- rectness of the formula, the scaly nitrate belongs to the basic series of purpureo-salts, of which the chromate already described, Co2(NH3),o.O. (CrOJ.j, furnishes an example. Its structural formula will then be, as compared with that of the normal nitrate : — r NH3— NO3 NH3— NO3 NH„— NH,— NO3 NH.,— NH3— NO3 NH3— NH'„— XO3 NH3— NH3— NO3 NH,— NO, NH3— NH,— NO3 I NH.,— NM3— NO3 t NH -NO3 The formation of the basic nitrate may be expressed by the equation : — Co,(NIl3),o(N03),4-2NH,+OH, = Co,(NH3VO.(N03),+ 2NIi,.N03. The readiness with which it is decomposed by water renders it impossi- ble to determine the reactions of the salt ; but, as I find that chloride of purpureocohalt is formed with evolution of chlorine when it is boiled with chlorliydric acid, we have at least some positive evidence in favor of the view which I have taken. The marked effervescence which oc- curs on boiling the nitrate with chlorhydric acid is precisely similar in character to that which takes place wlu-n ammonic, nitrate is heated with the same acid. The normal nitrate of purpureocohalt furnishes by far the most convenient method of i)assing from the pur|nireo-serie3 to the ro-eo-series. It is only necessary to dissolve the salt in a solu- tion of ammonia, and then to allow this solution to flow slowly into moderately strong nitric acid, surrounded with ice or snow so as to prevent any sensible rise of temperature. The nitrate of roseocobalt separates immediately as a red crystalline precipitate, nearly insoluble OF ARTS AND SCIENCES. 3 in the excess of nitric acid. From this salt many other salts of the roseo-series may be prepared with facility. Chloro-nitrate of Purpureocoboit. — Acid sulphate of roseocobalt not free from chloride of purpureocobalt was treated in the cold with a solution of potassic nitrite and nitrate. After standing some days a red mother liquor was formed, together with a mixture of a red crystal- line salt, and a bright yellow powder. On filtering and washing with hot water, a fine violet liquid was obtained, which, on standing, gave very well-defined large octahedral crystals of a deep cherry-red color. The crystals were easily soluble in hot water, and contained only a trace of sulphuric acid. Qualitative analysis showed the presence of chlorine, nitric teroxide, cobalt, and ammonia. The salt gave the reactions of nitrate or chloride of purpureocobalt with more or less distinctness. Of this salt, 0-4515 gr. gave 0-1516 gr. silver = 8-30% chlorine. 0-4000 gr. gave 0-1332 gr. silver = 8-23% chlorine. 0-4809 gr. gave 0-2397 gr. SO,Co= 18-98% cobalt. 0-4448 gr. gave 0-2228 gr. SO,Co = 19-07% cobalt. 1-0770 gr. gave 0-4650 gr. water = 4-79% hydrogen. The formula Co.(NH3)ioCl3(N03)3+Co2(NH3)io(N03)6 requires Cobalt, 4 Chlorine, 3 Hydrogen, 60 I can assign no plausible explanation of the formation of the chloro- nitrate under the circumstances, and did not succeed in obtaining the salt by mixing the chloride and nitrate of purpureocobalt in the proper proportions, and allowing the mixed solutions to stand. The crystals formed always consisted principally of the chloride. I was not more successful in the attempt to form a chloro-nitrate with the formula, Co2(NH3)ju(N03)3Clg, by mixing solutions of the chloride and nitrate, the chloride crystallizing from the mixture unchanged. I remark, however, that as the acid sulphate employed contained chlorine, prob- ably as undecomposed chloride of purpureocobalt, and as the potassic nitrite contained also nitrate, the reaction must have been between the chloride and nitrate. Two chloro-nitrates of roseocobalt have been observed by Krok, in combination with mercuric and platinic cidorides, the salts having respectively the formulas Co2(NH8)io(N03)3CL-[- SHgClg and Co,(NH3),o(N03)2Cl,+2PtCl,. Calculated. Found. 19-28 18-98 19-07 8-55 8-30 8-23 4-80 4-79 4 rROCEEniNGS OF THE AMERICAN ACADEMY T'lnujftate. — Wlicn cliloride of purpureocobalt is boiled with sodic tungstiite, WO^Xii.,, it is quickly converted into a violet granular crystalliue mass, wiiicli, after wasiiing with cold water, is perfectly free from chlorine. When dried in vacuo over sulphuric acid, the crystals liavc a line deep violet color. The salt is but slightly soluble in either cold or l)()iling water, even in presence of free nitric acid. It dissolves readily iu a solution of sodic or ammonic carbonate; the solutions have a fine violet color. Of this salt, 1-0294 gr. gave 0-r>418 gr. WO3 (by mercurous nitrate) = 56-26% WO,. 2-3912 gr. gave 1-7163 gr. WO, Co (by careful ignition) = 75-9 6 <%. The formula Co2(NH3)j„.0.(W04)2 requires 55-11% WO, and 76-75% WO,Co. The salt cannot be recrystallized, and was therefore probably not absolutely pure. Oxalo-chloride. — When a solution of ammonic oxalate is added to one of chloride of purpureocobalt, violet needles are soon deposited, which Genth and I considered as the normal oxalate of this series, and to which we gave the formula, as we should now write it : — Co,(NIl3),„.0.(C,0,),+30H2. Two determinations of cobalt and one of oxalic acid agreed very closeh' with this formula. Krok * subsequently discovered that this salt contains chlorine, and he assigns to it the formula : — Co,(Na),„a(CA)r On carefully re-examining this salt, I find that the percentage of chlorine varies considerably in different preparations. Thus : — J 0-7108 gr. gave 0-2512 gr. silver =11-61% chlorine. ( 0-3627 gr. gave 0-2186 gr. SO, Co = 22-95% cobalt. 0-5093 gr. gave 0-2930 gr. SO,Co = 21-9n% cobalt. 0-5768 gr. gave 0-2241 gr. silver 1= 12-78% chlorine. It is therefore probable that the chloro-oxalate contains as an admix- ture a greater or less percentage of another oxalate, possibly Co^(NII.3),„. 0.(CJ)J^. I did not succeed in obtaining this salt from nitrate of purpur('ocol)alt and ammonic oxalate, the reaction resulting only in {' • Acta Univ. Lund. 1810. I hclievo tliat this is the only error whicli has been detected in the first part of tliis paper. OP ARTS AND SCIENCES. 5 the formation of oxalate of roseocobalt, — a result possibly due to the presence of a little free ammonia. The chloro-oxalate does not appear to unite with metallic chlorides. It reduces gold from auro-chloride of sodium, AuCl^Na, while with platinic chloride it forms only the ordinary chlorplatiuate, Co^(NH3)^(,Cly-}-2PtCl^, and with mercuric chloride the anhydrous 6-atom salt, Co2(NH3)jDCly-|-6HgCl^. In this respect it differs remarkably from the oxalate of roseocobalt, which, as I shall show, forms a well-detined salt with platinic chloride. The chloro-oxalate dissolves readily in a hot solution of oxalic acid, and crystallizes in violet needles which contain chlorine, and which appear to be an acid chloro-oxalate. Neutral Sulphate. — Schiff has described a violet-colored very slightly soluble sulphate which he obtained, together with sulphate of luteocobalt, by the action of an alcoholic solution of ammonia upon Fremy's sulphate of fusco-cobalt. To this salt Schiff gives a formula corresponding with Co,(NH3),,0.(SOj,+30H,. This would be the basic sulphate corresponding to the chromate which 1 have described, and which has the formula Co2(NH3)ii,.0.(CrO^)2. By the action of baric chloride upon this sulphate, Schiff obtained, as he asserts, a new chloride with the formula : — Co2(NH3),,.O.Cl,+30H2, which he regards as the true chloride of the purpureocobalt series. From what I have already said, the existence of such a basic sulphate and chloride may be regarded as not merely possible but probable. On the other hand, Braun, on repeating Schiff's experiments, obtained wholly different results. The action of ammonia upon salts of fusco- cobalt yielded him only the ordinary salts of purpureocobalt, together with salts of luteocobalt. Further researches are therefore needed to establish the existence of Schiff's salts. In a single experiment I obtained a small quantity of a salt which appears to be the neutral sulphate of purpureocobalt. A mixture of cobaltic sulphate with excess of ammonia water was allowed to stand some weeks with fre- quent agitation. The deep-red solution was filtered and preci|)itated by alcohol. The heavy red liquid thrown down became solid after a time. Cold water dissolved the larger portion of this mass, but left a beautiful violet crystalline powder, which was washed on a filter till the washings had a fine clear violet tint, and dried iri vacuo over S0^H2 for some days. Of this salt, 6 PKOCEEDINGS OP THE AMERICAN ACADEMY 0-4392 gr. gave 0-2332 gr. SO,Co = 20-21% cobalt. 0-7952 gr. gave 0.9208 gr. SO,Ba= 47-71% SO^. These analyses lead to the formula : — Co,(NH3),„(SO,)3+OH,. Calculated. Found. Cobalt, 2 20-27 20-21 SO,, 3 47-42 47-71 The results of the analyses agree well with the formula given ; but it is possible that the salt, which was not recrystallized, contained some small impurity, and that it is really anhydrous, like the normal chloride and sulphate. The sulphate is but slightly soluble in cold water, but di.-solves rather easily in hot water, forming a beautiful violet solution. Auro-chloride of sodium gives a beautiful crystalline orange-red pre- cipitate with a solution of the sulphate, differing apparently from the corresponding salt of roseocobalt. In this salt, 0-2698 gr. gave 0-0924 gr. gold = 34-24%. This percentage of gold corresponds ver}' closely to that required by the formula, Co,(XII,)i,j(SO,).,Cl,4-2AuCl„ which is 34-02. The sulphato-chloro-aurate of roseocobalt has, as I shall show, the formula Co^,(XH.j),„(SO,)2Cl2-|-2AuCl3-)-40H2, the purpureo-salt showing, as usual, a less disposition to unite with water of crystallization. The above results were obtained with only three grammes of material ; but they are sufficient, I think, to make it at least probable that the violet salt in cpiestion is the true sulphate of purpureocobalt. Pyropliosplidte. — Sodic pyrophosphate gives a lilac or rose colored preci|)itate with a solution of chloride or nitrate of purpureocobalt, readily soluble in an excess of the precipitant, and crystallizing from the solution in beautiful rose-red efflorescent crystalline scales. The salt is readily soluble in ammonia, and the solution yields beautiful garnet-red measurable crystals, which are free from sodium. The pyro- j)ln)spliate was first carefully studied and analyzeil by C D. Braun, whose analyses agree closely with a formula which he writes, oNii3.CoA.2PO,,4-2i no (old style). This formula must now be written Co,(NH3),„(r,0,,)-h2lOH, in the new notation, P,0i3, being hexatomic. In the salt crystallized from ammonia : — OF ARTS AND SCIENCES. 7 1-2456 gr. gave 0-5387 gr. Co^P.O.j by ignition = 43-24% and 56-70% water, ammonia, and oxygen. 1 4484 gr. gave 0-9415 gr. water (burnt with CuO) = 7.22% hy'gen. 1-0964 gr. gave 0-3911 gr. water = 35-67% water of crystallization. The formula Co2(NH3)j„P,Oi3-}-2lOH2 requires 43-48 %Co,PPj2, and 56-52% water, ammonia, and oxygen ; also 7-21% hydrogen, and 37-87% water of crystallization. These analyses fully confirm Braun's results. The formation of the salt from sodic pyrophosphate and chloride of purpureocobalt may be represented by the equation: — Co,(NH3),„Cl,+2P,0,]SX+Oa, = Co,(NH3),,P,0,34-6NaCl+ 20NaH. The mother liquor from which the pyrophosphate has crystallized has a strong alkaline reaction. The decomposition of the salt by heat may be expressed by the equation : — Co,(NH3)jo.P,Oi3 = Co,P,O,,+O+10NH3, though it is of course most probable that a part of the ammonia is oxidized to water and nitrogen. The pyrophosphate of purpureocobalt furnishes, if the formula given be adopted, an instance of a true dipyrophosphate bearing the same relation to the ordinary salts of the acid which the disulphates, dichro- mates, &c., bear to the normal sulphates and chroraates. In other words, two molecules of P^O-H^, or P203.(OH)^ are fused together, so as to form a single molecule of P^OjjH,,, or P^O.(OII)e, an atom of water being given off. Thus we have in symbols : — 2.P,03.(OH), = PA-(OH),+OH,. The structure of dipyrophosphoric acid may be briefly represented by the expression : — 3(0H) E (PA)— 0-(P203) E (0H)3. The corresponding salt of luteocobalt presents a similar instance. According to Braun, the whole of the water of crystallization is given off at 100°C. ; but I found that one atom was i-etained at that tempera- ture, the loss in my analysis being 35.67°, while the formula for 20 atoms requires 36.07%. Ammonia-cohalt-nitrite. — A solution of the potassium salt of Erd- manu's series, Co2(NH3)^(NO^)gK2, gives with nitrate of purpureo- cobalt a beautiful very dark orange-red precipitate in crystals, which are sometimes acicular, and sometimes granular. The crystals are not 8 PROCEEDINGS OP THE AMERICAN ACADEMY very soluble in cold, but dissolve quite easily in hot water. The solu- tion gives the characteristic reaction with argentic nitrate. Of this Kilt : — 0-4583 gr. gave 0-24C6 gr. SO,Co = 24-11% cobalt. The formula |Co,(XIl3),J jCo,(NH3),{NO,)j3 requires 24-20%. The solution of this salt does not give the reactions of xanthocobalt at first, but after some days amnionic oxalate throws down the character- istic wine-yellow oxalate. Tlie solution is decomposed by long standing, large crystals of cobaltic nitrate, Co(XO.,)2, being formed together with crystalline scales of the corresponding salt of xantho- cobalt already described. Cobalto-nitrite. — The sodium salt of Fischer's series, Co,(NO,),,Na„ is soluble at the instant of formation in an excess of sodic nitiite. Alcohol precipitates, after a time, some of the yellow insoluble sodic salt, and gives a very deep orange-red solution, from which the alcohol may be expelled by evaporation. This solution gives with one of nitrate of pur[)ureocobalt, after a short time, fine deep orange- red to ruby-red octahedral crystals, which are very slightly soluble in water even on boiling This salt gave by digestion with a solu- tion of thallous nitrate the characteristic scarlet crystalline salt, Co^(^«0^,)^^,Tl^, which I shall describe further on. On analysis : — 0-5598 gr. gave 0-3290 gr. SO, Co = 22.38% cobalt. 0-7324 gr. gave 188.5 c.c. nitrogen (moist) at 6°C and 773-4""" = 31-87% nitrogen. The ratio is here exactly that of one atom of cobalt to six atoms of nitrogen ; and the analyses lead to the formula : — lCo,(NIl3),,(NO,)j3 \ Co,(NO,),3 L+90H,, which rc yellow chloride, — 0-4187 gr. gave 0-2430 gr. SO, Co = 22-09^ cobalt. The formida Co./NII.5),„Cle4-20H,, which is that of the ordinary red modification, requires 21-97% cobalt. The results above mentioned, together with the analyses of the jiold and platinum salts to be described, are confessedly incomplete, but are all wliic-h I could obtain with the very small amount of material — less than five grammes of tlie sulphate — at my disposal. I regard them as rendering it extremely probable tiiat there is an extensive series of yellow salts isomeric with the ordinary salts of roseocobalt, but differ- ing from them in color, solubility, and perhaps other particulars. It seems not impossible that the so-called xanthocobalt salts belong to tliis series, as I find that when the beautiful scarlet crystalline iodo- sulphate of roseocobalt is treated with argentic nitrite, a cherry-red solution is obtained, which must contain a salt having the formula, Co.,(NH3)jg(NO^,).^(SOj25 since we have the reaction expressed by the equation Co,(NII,)io(SO,) J,^2AgN0, = Co,(NH3),„(NO,),(SO,),+2AgI, and since the red solution on boiling with a few drops of acetic acid readily passes into the ordinai-y sulphate of xanthocobalt. The salts of the yellow modification of roseocobalt at present more or less perfectly analyzed and described are as follows : — Chloride, Co,(NH,),oCl,;+20H, Kitrate, Co,(NH,),o(NO,),+3bH, Siilphate, Co,(NH,),„(SOJ.3+oOH, Sulphato-ohlorplatinate, Co,(NH3),„(SOJ,Cl,+PtCl, Sulphato-ciiloro-aurate, Co,(NH3),„(SO,),Cl.,-|-2AuCl,,-f 40II,. I may remark in this connection, that rhodium forms two series of salts, one of which is red, and the other yellow, and that the chloride of Claus's base, Rh,(NH.j),„Cl,;. wliieh is yellow, unlike the well-de- fined double chlorides containing Rh^.Cl,;, may be the true analogue of the yellow modification of Co,(NH,),„Cl,,+20Fl2. C/ihrplfifinn/e. — When the soluble sulphate of roseocobalt is con- verted into nitrate by double decomposition with baric nitrate, and chlorplatinate of sodium is alaiiiium salt of this series. The salt, like most of its congeners, is much more OP ARTS AND SCIENCES. 17 soluble ia hot than in cold water, and crystallizes as the solution cools, thouijh not in well-defined forms. Its formula is — Co,(NH3)ioCl,-h2PtCl,+50H„ as the following analyses show : — 0 9ai8 gr. gaveO-2899 gr. platinum, and 0-0868 gr. cobalt (by differ- ence) = 31-12'5^ platinum, and 9-39^ cobalt = 40-51 %Pt-]-Co. 0-3040 gr. gave 0-1241 gr. platinum and cobalt = 40-79%. Heated to 140°C the salt lost 5-41% water, and was then decomposed with a slight explosion, so that the whole of the water is not given off below the temperature of decomposition. The formula requires : — Calculated. Found. Platinum, 31-15 31-12 Cobalt, 9-28 9-39 Water, 7-08 5-41 When platinic chloride is added to a solution of chloride of roseoco- balt, a dull-red crystalline salt in fine needles is formed, readily soluble in hot water, and crystallizing from the solution unchanged. Of this salt, — 0-3766 gr. (reduced by zinc and SO^H^) gave 0-1087 gr. platinum and 0-3981 gr. silver = 28-86 ir;^ platinum and 35-55% chlorine. Tliese results correspond to the formula Co2(NH3)joCly-{-2PtCl^-}- 120FI.,, which requires 28-72% platinum, and 36-04% chlorine. Braun states that by adding platinic chloride to a solution of a salt of roseocobalt and free chlorhydric acid, he obtained a dark orange-red crystalline precipitate, having the formula, as we should now write it, 3.Co2(NH.3)j|3Cly-)-4.PtCl^. I have never obtained any such salt ; and as Braun's formula is based upon a determination of the sum of the percentages of platinum and cobalt only, it cannot be regarded as even probable. Genth and I have stated in the first part of this paper, that chloride of roseocobalt f6rms with platinic chloride a salt which we had not completely examined, but which appeared to have the formula Co2(NH3)iyCl,;-[-3PtCl^-(-80H2. I have not obtained this salt again ; but the following analyses will serve to show that we had some reason for believing in its existence : — 0-7593 gr. gave 0-3256 gr. platinum and cobalt = 42-88%. 0-6155 gr. gave 0-3326 gr. platinum and SO^Co = 0-2182 gr. platinum and 0-1144 gr. SO^ Co = 35-45% platinum and 7-07% cobalt. 0-4809 gr. gave 0-7491 gr. AgCl = 38-50% cWorine. VOL. XI. (n. S. II.) 2 18 PROCEEDINOS OP THE AMERICAN ACADEMY Tlie formula Co,(Nig,oCl„+3rtCl,+80H2 requires: — Calculated. Found. Col.alt. 7-08 7-07 riutinum, 35-56 35-45 Chlorine, 38 3G 38-50 Tliese analyses were not publislied in the first part of this paper, be- cause Genth and I did not succeed in preparing the salt a second time. ] do not myself consider them — in spite of their close agreement with the fonimla i:i\iMi — sufl^icient to establish the existence of the salt in question. P\irther researches may be mors successful in this respect. Sulphato-cJthrpIatlnate. — When chlorplatinate of sodium is added to a solution of the soluble sulphate of roseocobalt, a beautiful bright- red crystalline salt is precipitated, which is but slightly soluble in cold water, but which may be dissolved in a very large excess of boiling water with a few drops of free acid, and crystallizes from the solu- tion without decomposition. This salt has the formula, — Co,(NH3),„(SO,),Cl,+PtCl„ as the following analvses show : — 0-4806 gr. gave 0-3476 gr. silver = 23-78^ chlorine. 0-4221 gr. gave 0-1505 gr. platinum and cobalt = 35-65 p^. 0-M2« gr. of the mixed metals gave 0-0898 gr. platinum = 22-43% (of the salt), and 13-22i^ cobalt (by ditference). 0-5210 gr. gave 0-2618 gr. SO.Ba = 20-66r/^SO,. Salt fused with The formula re- COgKNa. The salt lust no water on being heated to 150^C. The quires : — Calculated Found. Cobalt, 13-24 13-22 Platinum, 22-21 22-43 Chlorine, 23-90 23-78 SO,, 21-55 20-66 A solution of the yellow modification of the sulphate of roseocobalt already dt^scribcd, gave with chlor])latinate of sodium a beautiful yel- low crystalline precipitate remarkably insoluble even in hot water. This salt, after washing and drying in pleno over sulphuric acid, was analyzed : — 0-4202 gr. gave 01488 gr. i)latmum and cobalt = 35-415^. OF ARTS AND SCIENCES. 19 The formula Co2(NH3)i(,(SOj2Cl2+PtCl4 requires 35-45%. The very small quantity of the sulphate at my disposal prevented me from making a more complete analysis ; but there can scarcely be a doubt as to the constitution of the salt. Chloro-aiirate of Roseocobalt. — Chloro-aurate of sodium produces in a cold solution of the chloride of roseocobalt a beautiful bright orange-red crystalline salt, which may be redissolved in hot water, and recrystallized without sensible decomposition. This salt has the formula, — Co2(NH3)joCl,+2AuCl3+20H2, as appears from the following analyses : — 0-5996 gr. gave 0-3674 gr. gold and SO^Co containing 0-2047 gr. gold = 10-33% cobalt and 34-14% gold. 0-8900 gr. gave 0-3080 gr. gold = 34-59%, and 1-0013 gr. silver = 36-98% chlorine. The salt is soluble even in cold water ; the solution has a fine orange- red color. The formula requires : — Cobalt, Gold, Chlorine, The salt contains two atoms of water, which are not found in the cor- responding salt of purpureocobalt. It is one of the most beautiful of the whole series. Sidphato-chloro-aurate. — Chloro-aurate of sodium gives a beautiful orange-red crj'stalline precipitate with soluble sulphate of roseocobalt. The salt is but slightly soluble in cold water, and may be washed without sensible loss. It requires much hot water for solution, but dissolves without decomposition, and separates from the solution on cooling in fine bright-red crystals. The formula of this salt is, — Co2(NH3)j„(SO,),Cl,+2AuCl3+40Il2, as the following analyses show : — 0-4331 gr. gave 0-1389 gr. gold = 32-07%. 0-3542 gr. gave 0-1473 gr. SO,Ba = 0-1363 gr. SO.Ba. Calculated. Found. 10-31 10-33 34-44 34-37 (mean) 37-23 36-98 Calculated. Found. Gold, 32-04 32-07 SO., 15-62 15-86 20 PROCEEDINGS OF THE AMERICAN ACADEMY The yellow mollification of sulphate of roseocobalt gives with cliloro- aurate of sodium a precipitate in yellow needles, soluble without de- composition in boiling water, and crystallizing from the solution unchanged. In this salt, — 0-19o2 gr. gave 0-0494 gr. SO,Co = 9-G3%. 0-2fi57 gr. gave 0-0856 gr. gold and 0.186G gr. silver = 32-25 c;^ gold and 23-11^ chlorine. The formula, Co.(NH,)i„(SO,),,Cl,+2AuCl3-l-40H„ requires : — Calculated. Found. Cobalt, 9-59 9-63 Gold, 32-04 82-25 ■ Chlorine, 23-09 23-11 ChJoro-hydrargyrate of Roseocohalt. — Under the head of purpureo- cobalt I have described two salts having respectively the formulas Co,(NH,),oCl6+6HgCl2, and Co2(NH3),„Cl6+4HgCl2. The six-atom salt was first described and analyzed by Claudet,* and afterward by Carstanjen, t who also first described the six-atom salts with four and twelve molecules of water of crystallization. I find that the six-atom salts are always formed when chloride of mercury and sodium, HgCl^Naj, is added to a solution of chloride or of sulphate of roseoco- balt, but that the resulting salt always contains four atoms of water of crystallization, while the anhydrous salt, Co.,(NIl3),QCl,;-f-6PIgCl.„ is formed when an excess of the mercuric salt is added to a solution of chloride of purpureocobalt. On re-solution and recrystallization, each salt separates unchanged, so that the hydrous salt does not appear to be merely a hydrated form of the other. The salt Co.,(Nn,,),oCl(j-{- 6HgCl+4C)H2 crystallizes in lilac-red prismatic forms, which are much more soluble than the anhydrous salt. Of this compound (from Co,(x\n3),„ci„+20n,),- 1-7840 gr. gave 1-1522 gr. HgCl2 = 54-86p^ mercurv. 1-4373 gr. gave 1-2721 gr. silver =29-09<^ chlorine. 0-8430 gr. gave 0-1205 gr. SO,Co= 5-43% cobalt. 0-3731 gr. (from Co,(NH3)j„( 54-84% mercury. SO,)34-5aq ) gave 0-2373 gr. IlgS — The formula requires : — • Cobalt, Calculated. 5-37 Found. 5-43 ]\Iercury, 54-57 54-86 54-84 Chlorine, 29-05 29-09 * Phil. Mag. II. p. 253. t De Connubiis ammoniaco-cobalticis. Berlin, 1861. OF ARTS AND SCIENCES. 21 Basic Oxalo-sulphate. — This salt, which in the first part of this paper was assigned to the purpureocobalt series, belongs, as I think, more probably with the salts of roseocobalt, being formed directly from the sulphate of that base. This view compels us to admit the existence of a basic series of roseo-salts, to which, however, I can see no reasonable objection. The formula of the oxalo-sulphate may now be written, Co,(NH3),„.0.(aOJ.(SOJ+70H,. Acid Oxalo-sulphate. — The acid oxalo-sulphate, described in the same paper, may be written, Co,(NH3),„(C,0,),(SA)+30H„ and would then be a dioxalo-disulphate. Its structural formula upon this view would be O Co, NH3-NH3- 0-^^202 nh;-nh3-nh3 Q nh;-nh3-o (.Q This formula agrees satisfactorily with the results of the analyses, and with the fact that tlie acid reaction is not very strong. On the otlier hand, it is at least possible that the salt may contain two atoms less of hydrogen. In this case the formula would be Co,(NH3),,(C A) (SO,),+C,H A+20H,. If the first view be adopted, the formation of the salt by boiling nor- mal sulphate of roseocobalt with oxalic acid may be expressed by the equation : — Co,(NH3),„(SO,)3+3CJI,0, = \ Co,(NH3),„(C,OJ,(S,0,)+ C,H,OJ+OH,+SO,H,. Upon the second view we should have : — Co,(NH3),„(SO,)3+3aH A = \ Co3(NH3),,(C A) (S0,),+ C,H20,^+20H,+SO,H,. The second view appears to me preferable, since we have no inde- pendent evidence to show that ordinary sulphates ever lose water to form disulphates, except by the action of heat. Oxalates. — Gentli and I have shown that the neutral oxalate of roseocobalt has the formula Co2(NH3)jo(C,Oj3-|-OH2. I find now that, as already stated, this salt is sometimes formed as one of the products of the action of ammonic oxalate upon chloride of puz'pureo- Calculated. Mean. Found. 12-94 13-03 13-00 13-06 18-42 18-03 18-10 18-03 17-96 4-16 4-25 4-22 4-35 4-19 22 PROCEEDINGS OP THE AMERICAN ACADEMY cobalt, and also by the action of the alkaline oxalate upon the nitrate of the same base. When the neutral oxalate is boiled with an excess of oxalic acid, the solution deposits, on cooling, fine garnet- red crusts of crystals resembling prehnite in appearance. This salt is the acid oxalate of roseocobalt, and has the formula, — Co,(NH3),„(C,Oj3+4C,H,0„ as the following analyses show : * — 1. 0-4897 gr. gave 0-1673 gr. SO,Co= 13-00% cobalt. 2. 0-3421 gr. gave 0-0447 gr. cobalt = 13-06fJ^ cobalt. 3. 0-8908 gr. gave 0-5913 gr. C02 and 0-3389 gr. water = 18-10% carbon and 4-22% hydrogen. 4. 1-1337 gr. gave 0-7460 gr. C02 and 0-4439 gr. water = 18-03% carbon and 4-35% hydrogen. 5. 0-7397 gr. gave 0-4872 gr. C02 and 0-2922 gr. water = 17-96% carbon and 4-19% hydrogen. Cobalt, Carbon, Hydrogen, The formula appears, when compared with those of the ordinary double oxalates containing metallic sesquioxides, to be abnormal ; but the analyses made with carefully recrystallized, pure, and homogene- ous salt seem to leave no reasonable doubt as to the true constitution. Oxalo-platino-chloride. — When a solution of chlorplatinate of so- dium, PtClgNa^, is added to one of the neutral oxalate of roseocobalt, a fine red crystalline precipitate forms after a short time, which may be purified by a second crystallization. The salt forms small grouped acicular crystals, which have a rather pale-red color. It is somewhat easily soluble in cold water. Boiling water dissolves it readily, form- ing a clear red solution, from which the salt crystallizes without de- composition. The formula of this salt is, Co,(NH,),„(C20,)2Cl,+PtCl„ as the following analyses show : — 0-5389 gr. gave 0-1210 gr. platinum and 0-4002 gr. silver = 22-45% platinum and 24-41 % chlorine. The formula requires 22-62% platinum and 24-34% chlorine. * My friend and former pupil, Prof. Sadtler, had the kindness to make anal\-ses 4 and 5 for me after my own laboratory had been closed. I deemed them necessary to verify the imexpected formula. OF ARTS AND SCIENCES. 23 Cohalto-nitrite of Roseocohalt. — When a solution of cobalto-nitrite of sodium, Co2(NOJj2^^^6' ^^ excess of sodic nitrite is added to one of the soluble sulphate of roseocobalt, beautiful brown-orange prismatic crystals are thrown down, which are readily soluble in hot water with- out decomposition. Of these crystals dried in pleiio over sulphuric acid, — 0-2820 gr. gave 0-1822 gr. SO.Co == 24-60% cobalt. The formula of the anhydrous salt, Coo(NH3)|^(NO^,)^-|-Co2(NOJg, requires exactly the percentage found. The solution of this salt gives with salts of luteocobalt a beautiful crystalline precipitate of the co- balto-nitrite of that base, Co2(NH3)j2(N03)e-|-Co2(N02)8. With salts of strychnia and brucia, it gives the cobalto-nitrites of those alkaloids. The preparation of this salt, like that of all similar compounds, is somewhat uncertain, and often fails entirely in consequence of the for- mation of salts of xanthocobalt by the action of the excess of sodic nitrite on the sulphate of roseocohalt. By the action of a solution of cobalto-nitrite of sodium upon chloride of purpureocobalt, Sadtler ob- tained a yellow crystalline salt much more soluble than the luteocobalt salt, Co.,(NH3)j^(NO.,)^-[~Co^(NOo)(;, and to which he assigns the prob- able formula Co2(NH3),o(N02)«4-Co,(N0^^4-01f2. Farther study is needed, however, in the case of this salt. It may be identical with that described above. Dichr ornate of Roseocohalt. — When a solution of potassic dichro- mate is added to one of nitrate of roseocohalt, a dark red precipitate is formed, which, after re-solution in water with a few drops of acetic acid, separates in beautiful red scales with bronze-yellow reflections. This salt is identical with that formed in Mr. Mills's process for prepai-ing salts of roseocohalt, to which I have already alluded, and in which I found five atoms of water of crystallization. When digested at a gentle heat with a solution of baric nitrate, the salt yields baric chro- mate and nitrate of roseocohalt only, so that it certainly belongs to this series, and not to that of purpureocobalt. Sulphite of Roseocobult. — I obtained the specimen of this salt which I examined from Dr. Genth who prepared it by boiling chlo- ride of purpureocobalt with a solution of neutral ammonic sulphite. The salt was recrysfeallized from its solution in ammonic carbonate, and contained only a trace of chlorine. It forms granular brownish- orange crystals, slightly soluble in cold, and readily decomposed by hot water. Heated in a tube, it gave off water, ammonia, and ammonic sulphite. When sulphuric acid is poured upon the sulphite, some sul- 24 PROCEEDINGS OF THE AMERICAN ACADEMY pliurous oxide is given off, but it is only by strong heating that the whole of the oxide can be expelled. Of this salt : — 0-7132 gr. gave 0-3800 gr. SO^Co = 20-27% cobalt. 1-7094 gr. gave 2-0505 gr. SO,Ba= 32-94'-X, SO^. 1-5422 gr. gave 0-9228 gr. water = 6-64% hydrogen. 0-8927 gr. gave 183 c.c. nitrogen at IS'^-S C. and 765-14'"" = 24-07%. The formula Co, {^11,) ^^{SO.,)^ + SOU, requires : — Calculated. Found. 2 20-27 20-27 3 32-98 32-94 10 24-05 24-07 36 6-18 6-64 I have assigned this salt somewhat arbitrarily to the roseocobalt series. In the absence of any direct evidence on either side, it is of course equally probable that it belongs to the series of purpureocobalt. Kiiuzel's salt, Co,(NH3),„(S03)3+Co,(SO,)3+90H„ bears the same relation to the neutral sulphite which I have de- scribed which the cobalto-nitrite, Co,(NH3)j„(NOJg-|~C'^2(-^^:i)6' bears to the normal nitrite Co2(NH3)j(,(NO,),;. The salts known witli most certainty to belong to the roseocobalt series are the following : — Cobalt, Sulpliurous Oxide, Kitrogen, Hydrogen, Chloride, Nitrate, Suli)hatcs a, ^, y, Acid su]|)hate, lodo-sulphates a, ^, y* liromo-sulphate,* Dichromate, Basic oxalo-sulphate. Oxalate, Acid oxalo-bisulphate, Acid oxalate, Ferricyanide, Co,(NH,),„Cl,+20H., Co,(NH3),„(NO,)„+20H, Co,(NH3),„(SO,)3+50H, Co,(NIl3),„(SOj.,+SO,H,+40H2 Co,(NH3),„(SOJ,l,+201I, Co,(NIl3),„(SO,),Br,+20a. Co,(NH3),„(Cr,0,)3+50H, Co,(NH3),,.O.(a0,)(S0,)+70H, Co,(NH,),n(C.,0,)3+60H.. Co,(Nii.),„(CA)(soj,+an30,+ 2011., Co,(NIl3),o(aO,),-,+4C,IIA Co,(NIl3)„Cy„+Fe,Cy„+30H, * Ivrok, loc. cit. OF ARTS AND SCIENCES. 25 Cobalticyanide, Co2( NH8)ioCye+Co2Cyu-(-30H2 Platino-chloride, Co2(NH3)ioCls4-2PtCl,+50H2 Auro-chloride, Co2(NH3)j„Cl,+2AuCl3-|-20H2 Hydrargo-chloride, Co2(NH3),„CI,+ GHoCl^-h40H2 Sulphato-hydrargo-chloride,* Co2(NHg)^(,(SOJoCL^-)-2HgCl2 Sulphato-chloro-platiuate §, y, Co.^(NHg)^^{SO^).fi\.^-\-FtCl^ Sulphato-chloro-aurate /3, y, Co.^(N'H.^)^Q{SO^).fi\^-\-'i:OB.2 Oxalo-chlorplatinate, Co2(NH3)io(C20J2C1.3+PtCl^ Cerous double sulphate Co",(NH3)i„(SOJ3+SCeSO,-j-OH2 (Wing), Ceric double sulphate (Wing), Co2(NH3)io(SOj3+Ce2(SOj3-f OH^ Chloro-nitro-platino-chloride,* Co2(NH3)jo(N03)2Cl,+2PtCl, Chloro-nitro-hydrargo-chloride,*Co2(NH3)io(N03)3Cl3-f3HgCl2. "With the data given above before us, we may now compare the purpureo- and roseo- series more advantageously than has hitherto been possible. Genth and I at an early period in our investigation recognized the distinction between these two classes of salts, — a dis- tinction which has been admitted by some chemists, strongly supported by Mills t find F. Rose, and summarily rejected by Blomstraud J and others. I shall omit from the discussion those salts which in the present' state of our knowledge might be classed with either series. As a basis for the distinction which I uphold, I present the following facts : — 1. Chloride of purpureocobalt, Co2(NH3)j(,Clg, cannot be converted into chloride of roseocobalt, Co2(NH3),oCl,;-l-20H25 by recrystal- lization from water. In other words, it does not unite directly with water to form a hydrate, the combination always taking place indirectly, as, for instance, when chloride of purpureocobalt is dissolved in ammonia water, and the solution poured into strong cold chlorhydric acid. The same argument applies in the case of the nitrate of purpureocobalt, which behaves in a precisely similar manner. Chemistry presents, so far as I have been able to discover, no single case in which similar relations exist between a salt and its hydrate. 2. Chloride of roseocobalt, in either concentrated or dilute solution, loses two atoms of water, and is converted into chloride of pur- * Krok, loc. cit. t L. & E. Phil. Mag. (4) xxxv. 245. t Chemie der Jetztzeit. p. 294, note. 26 PROCEEDINGS OP THE AMERICAN ACADEMY pureocobalt by simple heating, I can recall no single instance in which a true hydrate behaves in a similar manner. Nitrate of roseocobalt, when heated in solution with a little free nitric acid, undergoes a similar conversion into nitrate of purpureocobalt. 3. Sulphate, chromate, oxalate, &c., of roseocobalt in solution yield, by double decomposiiion in the cold with baric chloride and nitrate, salts of roseocobalt only. Is a mere state of hydration trans- mitted from salt to salt ? 4. According to the determinations of F. Rose,* one part by weight of cliloride of roseocobalt requires at 10° C. 4*8 parts of water for solution. At the same temperature, one part of chloride of pur- pureocobalt requires 287 jjarts of water for solution. Rose re- marks that the identity of chloride of roseocobalt and chloride of purpureocobalt can only be maintained by admitting that the same salt can exist both in the hydrous and anhydrous condition in a solution at the same temperature, an assumption directly opposed to the numerous observations of RiidortF and "Wulluer on the tension of the vapor of aqueous solutions. 5. Solutions of the two chlorides form with the same reagents in many cases different salts. Thus, chloride of roseocobalt forms Co,(NH3),oCl,+2PtCl,-f 0OH2 with platinic chloride, Co^(NH3)joCly-}-2AuCl,-j-20H2 with auro-chloride of sodium, Co2(NHg)j(,(C^O^)3-)-60H2 with ammonic oxalate. With the same reagents respectively, chloride of purpureocobalt gives, C02(NH3),„Cl,+2PtCl„ Co,(NH3),„Cl,+2AuCl3, 6. The greater number of the salts of the roseocobalt series contain water of crystallization. The greater number of the salts of pur- pureocobalt are anhydrous. If it be replied that this statement involves a petitio principn, I reply that the presence .or absence of water of crystallization is, in most cases at least, coexistent with other properties tending to establish a clear distinction be- tween the two classes of salts. * Untersuclumgen iiber ammoniakalische Kobalt-Verbindiuigen. Heidel- berg, 1871, p. 47. OF ARTS AND SCIENCES. 27 7. I have rendered it, to say the least, extremely probable that there are three distinct modifications of roseocobalt, yielding salts with similar or identical empirical formulas, but differing in color and solubility. Is it unreasonable to suppose that there may be a fourth modification or possible variation in the arrangement of the atoms constituting the molecule Co2(NH3)jq ? "With respect to the few known cases in which salts of roseocobalt and purpureocobalt yield the same salts by double decomposition with the same reagents, I have to say that there appears to be no reason for doubtinij that in such cases there is a transformation of one modi- ficatiou of the molecule Co2(NH3)jq to another, since we already know that such transformation may be effected by heat alone. The best instances of tliis transformation occur in the case of the reactions of the two chlorides with potassic ferricyanide and cobalticyanide mentioned by Genth and myself. LUTEOCOBALT. Rogojski * first noticed the existence of a salt of luteocobalt con- taining both chlorine and sulphuric oxide, and having a formula which we should now write Co2(NH3),2Clu-|-Co2(NH3)i.3(SOj3, but which might also be written Co2(NH3),2(SO,).3Cl+Co,(NH3)„(SO,)Cl,. In examining this salt, Genth and I found that the chloride and sul- phate are capable of crystallizing together in all proportions. Dana then showed that the two salts are isomorphous. Genth and I observed further that mixtures of the chloride and sulphate gave peculiar crys- talline salts with the chlorides of platinum and mercury. These we naturally regarded simply as mixtures. Braun afterward obtained a chloro-chromate which he regarded as a double salt, and which we should now write Co2(NH3)]2(CrO^)^Cl2. The salt is easily formed by mixing solutions of one molecule of the chloride and two of the neutral chromate. As in the case of the corresponding salts of roseo- cobalt, Krok t first showed that definite com]30unds are formed when ammoniacal solutions of sulphate of luteocobalt are heated with iodine. The resulting iodo-sulphate has the formula Co2(NHo),2(SOj2l>- By the action of chlorine upon this salt the corresponding chloride is formed, and this gives well-defined crystalline salts with platinic and * Compt. Rendus, xxxiv. 186. t Acta Univ. Lund. 1840. 28 PROCEEDINGS OF THE AMERICAN ACADEJIY mercuric chlorides, which have respectively the formulas Co^,(XH".)j2 (SO,),(IIgCl,), and Co,(NII,)„(SO,),(l'tClJ. Cliloro-jAatiuo-chromate of Lutcocohalt. — When neutral chromate of luteocobalt is dissolved, and a solution of platiuic chloride added, brown-yellow crystals are obtained, which require a large quantity of boiling water for solution, and are difficult to purify by recrystallization. Of this salt : — 0-6567 gr. gave 0-1920 gr. platinum, and 0-6026 gr. silver = 29-23 <% platinum, and 30-16^ chlorine. These numbers indicate the formula Co2(NH3)j2(CrOJCl^-|-2PtCl4 -|-5 aq., which requires 29-33% platinum, and 31-55% chlorine. I do not consider the constitution of this salt to be sufficiently established by my analyses, though there is no a priori improbability in the for- mula itself. Oxalo-auro-chloride of Luteocobalt. — When neutral oxalate of luteo- cobalt is digested with a solution of auro-chloride of sodium, the salt quickly changes its appearance as regards form and color, and a new salt is formed, which is readily soluble in boiling water, and crystal- lizes from the solution in long orange-yellow needles. The formula of this salt is, — Co,(NH3),,(aO,),Cl,+2AuCl3 + 40H„ as appears from the following analyses : — 0-5109 gr. gave 0-2107 gr. gold, and cobalts 41-24%, and 0-1628 gr. gold = 31-86% gold, and by difference 9-38% cobalt. The formula Co,(NH3)i2(C,0,),Cl2-h2AuCl3+40H2 requires gold 31-56%, cobalt 9-47%. When neutral oxalate of luteocobalt is dis- solved in chlorliydric acid, and auro-chloride of sodium is added, beau- tiful yellow granular crystals are formed which contain no oxalic acid. In this salt, — 0-3042 gr. gave 0-1875 gr. SO^Co-fAu containing 0-1043 gr. gold = 34-25%, and 0-0832 gr. SO, Co = 10-41% cobalt. 0-6738 gr. gave 0-7591 gr. silver = 37*03% chlorine. The formula Co,(NH3),,Cl,+2AuCl3 requires : — Calculated. Found. Cobalt, 2 10-33 10-41 Gold, 2 34-50 34-25 Chlorine, 12 37-30 37-03 OF ARTS AND SCIENCES. 29 SO that the salt is identical with that described by Genth and myself in the first part of this paper. When platinic chloride is digested with neutral oxalate of luteocobalt, the salt changes its form and color in so marked a decree as to leave no reasonable doubt of the formation of a new salt. On attempting, however, to purify this salt by solution in boiling water and recrystallization, I found that decomposition at once commenced, carbonic dioxyd being given off in abundance. There can hardly be a doubt, I think, that the salt, Co^(NH3),2(C20j2 Cl.,-|-PtCl^, is at first formed, and subsequently decomposed. Oxa- late of luteocobalt dissolves in hot oxalic acid, and yields a pale buff felted mass of crystals of an acid oxalate. Pyrophosphate. — When sodic pyrophosphate is added to a solution of luteocobalt, a beautiful crystalline precipitate is formed in talcose scales with a high lustre, remarkably insoluble in water. Braun, who first studied this salt, assigns to it the formula, — 3(Co,(NH3)P3)+5PA+40OH, (old style) and suggests that it may be a double salt with the formula, — 2(Co,(NH3)A.'PO,+80PI)+Co,(NH,)A-3PO,+240a 1 in which case it would contain both orthophosphoric and metaphos- phoric oxides. My analyses have led me to the much simpler for- mula, — "? Co,(NtL),,.(PA3)-l-60H,, the constitution of the salt being perfectly analogous to that of the pyrophosphate of purpureocobalt already described. The salt analyzed was precipitated from a hot solution of chloride of luteocobalt by a solution of sodic pyrophosphate, well washed with cold water, and dried in vacuo over sulphuric acid. Of the crystals, 0-8178 gr. gave 0-4692 gr. by ignition = 57-30% Co.P.Ojg. 0-8174 gr. gave 0-4651 gr. by ignition = 56-89% Co.P^Oio. 0-5879 gr. gave 0-0693 gr. water heated up to 120° C. until the weight was constant = 11-78%. 0-7515 gr. gave 0-4359 gr. V,f>Mg^^ = A:^-Z1% P^s- The water given off up to 120° C. corresponds to five atoms, the cal- culated percentage being 11-81. The last atom of water is retained at 140° C. 30 PROCEEDINGS OF THE AMERICAN ACADEMY Calculated. Four.d. Co^P.Oj,, 56-95 57-09 (Mean.) 10NII,+6OH,+O, 43-05 42-91 100-00 100-00 The formula requires 43-57% ^40)3- Found 43-37%. The analysis was made by fusing the salt with CO.KNa, and precipitating as ammonio-mugnesic phosphate. Iodide of luteocobalt gives the same salt, and does not yield an iodo-pyrophosphate Lc.PgO-.Ig as might perhaps have been expected. Sulphate of Thallium and Luteocobalt. — When a solution of thal- lous sulphate containing free sulphuric acid is oxidized by potassic hypermanganate, a dark brown precipitate is formed which readily redissolves on the application of heat. The clear solution produces in a solution of sulphate of luteocobalt, after a few minutes, a beautiful crystalline precipitate of yellow talcose scales which have a peculiar silky lustre. These crystals are decomposed by washing even with cold water, a brown powder of thallic hydrate T1(0H)3 being formed. The decom])Osition may be prevented by adding sulphuric acid to the water. Of this salt : — 0-5079 gr. gave 0-31 G9 gr. = 62-39%, sulphates of cobalt and thal- lium. 0-7421 gr. gave 0-6557 gr. SO,Ba = 36-40% SO^. In the last analysis, the thallium was first reduced in a solution con- taining free chlorhydric acid by metallic magnesium, as zinc did not effect a reduction even after long boiling. The precipitated spongy thal- lium dissolved completely in the excess of free chlorhydric acid. The formula of the salt is Co2(NH3),2(80,),+Tl2.0.(SOJ2+50H2, which requires 36-49% SO^ and 61-81% of the mixed sulphates, 2.SO^Co-j- so;n,. I did not succeed in obtaining analogous salts with the suljihates of roseocobalt, xanthocobalt, or croceocobalt. It is remarkable that the thallic sulphate in this salt is basic. I verified the analysis by a second determination of SO^, made by decomposing the salt with hot water, filtering off the thallic hydrate formed, and determining the SO^ in the filtrate by baric chloride. The analysis gave 36-11%. Dichromate. — Potassic dichroniate precipitates luteocobalt from concentrated solutions of the nitrate in beautiful orange needles, which may be redissolved and recrystallized without decomposition. The salt dissolves rather easily in hot water, but ditfcrent preparations OF ARTS AND SCIENCES. 31 appeared to contain different amounts of water of crystallization. In one preparation in fine crystals : — 1-3713 gr. gave 0-5952 gr. Cr.fl^ = Ql-Q2% Cr.O^. The formula Co2(NH3)j2(Cr20-)34-50H2 requires 61-17%. METAMERIC SALTS. I have already stated that roseocobalt and xanthocobalt give beauti- ful crystalline salts with the electro-negative or chlorous radical of Ei'dmanu's remarkable series. The formula of the octamin salt may be written, — ^Co,(NH3),(NO,)j"^Co,(NH3),(NO,),^"orCo,(NH3),(NO,),+ Co,(NH3),(NO,)„ while that of the xanthocobalt salt is, — ^Co,(NH3),o(NOJ,nCo,(x\H3),(NO,),f, or Co,(NH3),„(NO,),-f 2(Co,(NH3),(NO,),). It will readily be seen that, as already shown, the croceocobalt salt is empirically 2. Co,(NH3)„(NO^„ and the xanthocobalt salt 3. Co,(NH3),(NO,)„ and consequently that both are metameric with the hexamin nitrite of Erdmann Co2(NH3)y(NO^)^. I will now show that there are two other compounds also metameric with Erdmann's salt, and yet per- fectly distinct in chemical structure and properties. When potassic nitrite is added to a solution of cobalt containing a little free acid, a yellow crystalline substance is gradually precipitated, which is the well-known salt first described by Fischer. The investi- gations of Professor Sadtler first definitively proved that this salt is essentially Co.,(N02)ioKg, the number of atoms of water of crystalliza- tion varying with the circumstances under which the salt is firmed. Professor Sadtler has also described and analyzed the corresponding sodic and ammonic salts. The sodic salt is not immediately precipi- tated when sodic nitrite is added to an acid solution of cobalt, but in presence of an excess of the alkaline nitrite remains in solution, giving a deep orange-colored liquid. I found that this solution gave beauti- ful crystalline precipitates with salts of luteocobalt and roseocobalt. 32 PROCEEDINGS OP THE AMERICAN ACADEMY Tliese were first analyzed and described in nay laboratory by Sadtler, who found for the luteocobalt salts the formula, — Co,(NH3),,(NO,)„+Co,(NO,),,+OH,. In resuming the study of this subject, I found the method of j^irepara- tion at first ado[)ted somewhat uncertain, because the excess of the alka- line nitrite acts readily upon the cobaltamine, formhig other products not always easy to separate. The following method gives better re- sults. One molecule of any soluble salt of the cobaltamine — the nitrates are to be preferred — is to be dissolved with two molecules of cobaltic chloride or nitrate, and a little acetic acid. A solution con- taining as nearly as possible twelve molecules of sodic nitrite is then to be added. The luteocobalt salt is precipitated almost immediately ; the corresponding salt of roseocobalt after a short time. The salt of luteocobalt obtained in this way is a yellow crystalline body very slightly soluble in cold water, and easily purified by wash- ing. Boiling water dissolves it in very small quantity, giving a pale yellow solution. I have usually obtained it in rather larger deep orange granular crystals by adding a solution of the corresponding much more soluble roseocobaltic salt, Co2(NHg)jp(NO.,)6-|-Co2(N02)g, to a hot neutral solution of nitrate of luteocobalt. It may also be formed by adding a solution of Co2(N02)g-|-6NaN02 in excess of sodic nitrite to a solution of luteocobalt, there being in this case less danger of the formation of other products than with the other cobaltamines. 1 find the formula of this salt to be lCo2(NIl3),2UCo,(N03),2f or Co,(:NH,\,(^0.;),+Co,(:^0,) c as the following analyses, made with three different preparations, clearly show : — 0-3312 gr. gave 0-2056 gr. SO,Co=z 23-78% cobalt. 0-3776 gr. gave 0-2369 gr. SO, Co = 23-89% cobalt. 0-1785 gr. gave 0-1115 gr. SO.Co = 23-78% cobalt. The formula requires 23-79% cobalt for the anhydrous salt. In one preparation, however, I obtained a salt in which 0-4291 lost 0-0087 gr. at 125° C. = 2-10. This would correspond to Sadtler's formula, which requires 1-78%, if we consider a part of the water as hygroscopic, or that, as is more proba- ble, there was a slight decomposition. In the dried salt, — 0-4204 gr. gave 0-2643 gr. SO,Co = 23-93% cobalt. OF ARTS AND SCIENCES. 33 so that the salt when containing an atom of water of crystallization, certainly becomes anhydrous a little below 125° C. The structural formula of the salt is : — NH3— NH3— 0— NN ^ NHj— NH3— 0— N<^>N -N<^>N .0, Co, NHg— NH3— 0- NH3— N H3— 0— N < Q > N NH3— NH3— O— N N NH3— NH3— 0- Co, In this case, as in formulating Fischer's salts (p. 17), I have as- sumed that six units of affinity of the hexatomic complex, Co^, on the right, are saturated by six units of affinity of nitrogen, which is of course equivalent to supposing that a nitrite may be R — NN i o (J C2H3 When the luteocobalt salt just described, and which we may more briefly express by the formula Co2(N02)i2Lc, is digested with a solu- tion of thallous nitrate, T1N0„, containing a little free nitric acid, the yellow salt soon becomes red, and finally assumes a fine scarlet tint, while the supernatant liquid becomes yellow, and contains nitrate of luteocobalt. After washing with hot water and drying, a fine crystal- line scarlet salt of thallium is obtained, which has the formula, Co,(NO.,),2Tl,+20H2, as the following analyses show : — 0-3964 gr. gave 0-3724 gr. sulphates of cobalt and thalliums 93-94%. 0-9879 gr. gave 0-0034 gr. water at 102° C. = 0-34%, 0-010 gr. at 130°-135^ C.= 1-02%, and 0-0318 gr. at 150* C. = 3-22%. VOL. XI. (n. S. II.) 3 34 PROCEEDINGS OF THE AMERICAN ACADEMY The formula requires 94*39 (y^ of the mixed sulphates 2SO^Co-|- SSO^Tl^, and 1*8G% water. The salt is partially decomposed above 140'^ C. The thallium salt is very slightly soluble even in boiling water. Its formation is expressed by the equation, — Co,(jSrO.)j,Lc+6TlNO, = Co,(NO,)i.Tl,+Lc(N03)e. It may also be prepared directly by adding a solution of a salt of cobaltic nitrate or sulphate to a hot solution of thallous nitrate containing a slight excess of free acid, and tlien adding a solution of sodic nitrite? The salt prepared in this manner, however, is apt to cojitain a little of the corresponding sodium salt. The thallium salt is a valuable re- agent in investigations on the cobalt compounds which contain nitroxyl. NOg. since, taken in connection with the characteristic silver salt of Erdmann's series, it enables us to recognize and distinguish compounds which contain Co2(N02)j., from those which contain Co2(NH„)^(N02)«, which is otherwise by no means easy. The relationship of the luteocobalt salf above described to the other metameric salts of the series may be expressed as follows : — lCo,(NH,),,nCo,(NO,),J = 2.Co,(NH3),(NO,)„ the salt having the same atomic weight as the octamiu salt already described represented by the formula, — Ammonia-cohalt-nitrite of Luteocobalt, — A solution of nitrate of luteocobalt gives with one of Erdmann's salt of potassium, Co2(NH.,)^ (NO.,)^K.„ a fine granular orange-yellow precipitate, which is slightly soluble in cold water, but dissolves in much boiling water, and crystal- lizes from the solution without cliange. Its much greater solubility distinguishes it from the metameric salts containing Co2(N02)io- The constitution of this salt is expressed by the formula, ^Co,(NII3),JlCo,(XH,),(^'0,);i3 or Co,(NH3),,(N0,),+ (Co,(XIL),(NO,),)3, as the following analyses show : — 0-3311 gr. gave 0-2077 gr. SO.Co = 23-88 9/^ cobalt. 0-5073 gr. gave 141-5 c.c. nitrogen at 9^C. and 7G0""" = 33-86% nitrogen. The formula requires 23-79 <7^ cobalt, and 33-87% nitrogen. A solution of this salt gives with argentic nitrate the characteristic OF ARTS AND SCIENCES. 35 Bait, Co2(NH3)^(N02)8Ag2 ; it also gives, though somewhit sluggishly, the characteristic reactions of salts of luteocobalt. The analA^ses and reactions leave no doubt as to the true constitution of the salt. Its relations to the other bodies metameric with it may be seen from the expression, — ^Co^CNH,),, \ \ Co,(NH3),(NO,) J3 = 4 Co,(NH3),XNO,),. It has the same molecular weight as the octamin salt : — lCo,(NO,),,nCo,(NH3),(NO,),^3. In the metameric series to which I have directed attention, at least two other members are theoretically possible. Thus we should cer- tainly expect the reactions and products indicated by the equa- tions : — 3.Co,(NH3),,(NO,),CI,+2.Co/NO,)„Na,3 = \ Co,(NH3),„^3 3.Co2(NH3)3(NO,),Cl,+Co,(NO,),oNa,, = ^€o,(NH3),(NO.,) J3 The first or xanthocobalt salt would be empirically, 5.Co2(N.H.j)g (NOo)g, while the second or croceocobalt salt would be 4.Co./NH3)g (NO^)^. I have more than once been fully confident that I had ob- tained both these salts ; but in the final revision of my work I did not succeed in obtaiuing either for analysis, and their existence must therefore, for the present, remain doubtful. The difficulty in prepar- ing the salts of the Co2(NOo),2 series depends mainly upon the fact that it is indispensable to avoid an excess of sodic nitrite in preparing the solution of Co.,(N0.2)v2^^S0, >so., a— a— O ) a— a— O I PO ^; a — a — O ) ^^^ Kx-a-OJ I a— a— O V PO [ a — a — O ) in which the six ammonia groups have equal weights or qualitative values, so that the six units of affinity of C02 must also be of the same kind and the same inten ity. But, if we examine the list of salts of roseocobalt which I have given, we find that Krok has described a salt with the f /rmula, — Co,(NH3),,(N03)3Cl3+3HgCl2; 48 PROCEEDINGS OP THE AMERICAN ACADEMY and among the salts of purpureocobalt we find the formula, — Co,(NH3),<,(N03)3Cl,+Co,(NH3),„(X03)e. Roseocobalt and purpureocobalt may therefore also form compounds in which the six units of affinity are saturated by threes. Now since tliese salts contain only ten atoms of ammonia ; and since these can only be distributed in pairs of different structure, as in formulas I., II., III., and IV., it follows that we cannot fairly draw the inference that in the dodecamin series the atoms of ammonia are arranged in six perfectly equivalent jiairs. Blomstrand gives to chloride of xanthocobalt the structural for- mula, — 0— NO a — a — CI a — a — a — CI a — a — a — CI a — a — CI , O— NO upon the ground that cobalt unites with O.NO in Fischer's salt Co2(N02)i2Kg with peculiar energy. We seem in this way to gain a 7Z0V GT(6 for this series ; and, if we admit the force of the argument, we must write the formula of chloride of roseocobalt, — r CI a — a — CI a — a — a — CI a — a — a — CI a— a— Cl CI Co., Co, { On the other hand it is a question whether the remarkable stability of Co.,(NO.,)].,Kq can fairly be attributed to any special affinity of cobalt for NO.,. We have a complex whole, which we find remark- ably stable ; but is not this stability the resultant — so to speak — of the whole structure, just as the strength of an arch resides in tlie whole arrangement of its elements, and not in any single one ? The other cobalto-nitrites, as, for instance, Sadtler's salts, Co(N02)2-|~^^^C)2, and Co(NO.,)2-|--^'^aN02, are not remarkably stable, but rather the re- verse. The salts of xanthocobalt are easily decomposed, both by acids and alkalies. For these reasons it does not seem to me that Blom- strand's arrangement of the atoms in these salts deserves any special preference at present. Blomstrand's views as to the constitution of the metal-ammonias OF ARTS AND SCIENCES. 49 form part of a complete system to the exposition of which he has devoted a large work.* I must refer to this work for the arguments which he adduces in support of his theory, since no abstract can do them full justice. But I may be permitted here to notice one or two points of fundamental importance. , Blomstrand begins with a discussion of the platinamines, our knowl- edge of which has been so greatly increased by the splendid researches of Cleve. He assigns arbitrarily to the chloride of Reiset's first base the formula, — Pt J a— a— CI I a— a— CI When chlorine is passed into a solution of this salt, the chloride of Gros's base is formed, and Blomstrand attributes to it again arbitrarily the formula, — CI a — a — CI a— a— CI CI Pt^ He employs the same mode of formulation in the case of the chlorides of Reiset's second and Gerhardt's first base ; namely, — Ptl^~^ ( a— ( Pt^-^ ^1 and Pt<; CI a— CI a— CI CI I admit that it seems most natural to attribute to the formula of the chloride of Reiset's first base the symmetrical formula, Pt -< p,' r a a a CI instead of the unsymmetrical formula, Pt < p. ; but even if we start from Pt ■< ^ ^ r^^' as from a fixed point, how is it possible to ( a — a — LI say with certainty that under the action of chlorine there may not be a re-arrangement of the atoms of ammonia, so that we have for the chloride of Gros's base the structural formula, — f a— CI PtJ ^-^^ ■^M a— Gl [ a— CI which has a higher degree of symmetry, or is, in other words, more homogeneous than Blomstrand's formula, — * Chemie der Jetztzeit. Heidelberg, 1869. VOL. XI. (n. s. 1]> 4 60 PROCEEDINGS OF THE AMERICAN ACADEMY Pt ^ CI a — a — CI a—a— CI CI and which explains the formation of the different salts at least equally- well ? In this case, as in the cases of the platinamines generally, we have precisely the same difficulties which meet us in applying the theory to the cobaltamines. We reason throughout from perfectly ar- bitrary fundamental assumptions. Our only fixed points are the atomi- cities of platinum and cobalt. All else is purely speculative. In the present state of our knowledge we are not able to say whether a chain of atoms of ammonia, like — NH^ — NHg — NH3 — , has more or less powerful affinities than the single divalent atom, — NH, — , or even whether, — NHg — CI, is more or less chlorous than a single chlorine atom. But these points are of fundamental importance in the applica- tion of the theory of atomicities to the metal-ammonias. Certainly the great majority of chemists maintain that there is a perfect equiva- lence of value in the units of affinity of the different elements, while admitting that in complex molecules, as in the benzol ring, positional differences may result from peculiarities of structure. Blomstrand, on the other hand, maintains not merely that the four units of affinity in tetratomic platinum are qualitatively different two by two, but even that it is possible to determine in the case of which pair the most powerful affinities are exerted. Thus he asserts that if we write for platinum, — r« a b d the two "points of attack," a and b, act differently from c and d. With logical consistency he extends this view to nitrogen, cobalt, and carbon, standing, so far at least as carbon is concerned, wholly alone, I believe, in opinion, the question of a difference between the four units of affinity in carbon having been long since discussed, and by common consent decided in favor of their perfect equivalence. While then I write the structural formulas of the chlorides of pur- pureocobalt and of roseocobalt respectively : — Pt Co., \ a— CI a— a— CI a—a- CI a— a— CI a— a— CI a— CI Chloride of purpureocobalt. Co < CI a— a— CI :z:z:zg+20H, a—a— Cl CI Chloride of roseocobalt. OF AKTS AND SCIENCES. 51 I expressly admit that the mode of formulation is in each case per- fectly arbitrary. The more carefully I have studied the subject, the more full has become my conviction that in the present state of our knowledge we cannot assign absolutely definite structural formulas to the platina- mines and cobaltamines upon Blomstrand's theory. While, thei-efore, 1 adopt this theory, I do so. because I think that with all its defects it is by far the simplest and most comprehensive yet proposed. But 1 regard the particular structural formulas which I have employed sim- ply as convenient illustrations, — provisional formulas which the pro- gress of science may at any time modify. In my forthcoming work on the metals of the platinum group, I shall describe a few other salts of the cobaltamines, which are chiefly of interest in connection with those metals ; and I hope also to show that some of the cobaltamines are valuable analytical reagents. In closing my labors, I wish again to direct the attention of chemists to the advantages offered by this class of salts in investigations. We have in croceocobalt, xanthocobalt, and luteocobalt, respectively, dia- tomic, tetratomic, and hexatoraic bases, possessing the important prop- erty of forming extremely well-defined and highly crystalline salts. I suggest the employment of these bases as means of determining the atomicities of relatively chlorous molecules, as, for instance, of the poly- meric modifications of phosphoric acid, and in other cases in which our knowledge is still imperfect. The cobaltamines themselves still form an extensive and most attractive field of labor. With all that has been done, there is no part of this field which will not yield an abundant harvest of interesting and theoretically valuable results. My grateful acknowledgments are due to my assistant, Mr. W. E. Cutter, who has aided me in the analytical part of my work with most patient and conscientious labor. Cambridge, June 8, 1875. 52 PROCEEDINGS OP THE AMERICAN ACADEMY II. ON THE SOLAR MOTION IN SPACE AND THE STELLAR DISTANCES. (Second Paper.) By Truman Henry Safford. In a previous paper, I have examined some of the older known proper motions, and sliovvn that they are favorable to the assumption that the distances of the stars are, upon the average, inversely propor- tional to their proper motions. We cannot expect that this will be eqilally true in all regions of the heavens. It will be necessary, as mate- rials accumulate for the study of this problem, and other collateral ones, to pursue the investigation more into detail ; including more stars, and examining their motions as related to their position on the celestial sphere, and esi^ecially to the apex of solar motion. The present paper contains such a detailed investigation for an important class of stars. Those here investigated are the two hundred and fifty whose proper motions Argelander has discussed in the seventh volume of the Bonn Observations, Part I. ; I am myself preparing for another purpose a similar discussion of about one hundred and fifty more, and other ma- terial of the same kind is soon to be published in great quantities. So that the present paper is also of use in fixing the form of the discussion. From the formula3, — cos "^ = sin D sin d -{- cos D cos d cos (« — A) ; sin ^ cos 'ip' = — sin D cos 5 -\- cos D sin d cos (« — A); sin / sin \p' =. cos D sin (« — A) ; /i a cos 8 = /I g sin ip ; /J d = /] g cos xp ; where a, 8, the star's right ascension and declination, J a, /i d, its annual proper motion in these co-ordinates, A, D, the right ascension and declination of the apex of solar mo- tion assumed known, ;f, the star's angular distance from the apex, xp', the angle of position at the star of the arc of a great circle directed away from the apex, xp, the angle of position of the star's apparent motion, are calculated the values of the followinji table. OF ARTS AND SCIENCES. 53 I have assumed as before, — ^ = 259="o0'8 i)=32''29'l. I noticed, ioo late for use in this series, that if we put sin m sin M := sin 2) ; sin m cos J/= cos D cos (a — A), we can more readily use the formulae, which then become cos 1 = sin m cos (d — 31); sin ;f cos \p' =^ sin ni sin (8 — M) ; sin ^ sin xp' =. cos D sin (a — A) = cos m, or tan 1/;' = cot m sin X = sin (S — J/)' cos m sin ij/' by tabulating w, J^ and log. eot m, log. cos m, or like functions, with the argument «. In the following table, the stars are indicated by Argelander's num- bers, and arranged in the order of their annual proper motions, the largest (Groombridge, 1830) first. The columns contain in their order the star's number, Argelander's values oi /I g and \p (Bonner Beobachtungen, Bd. VII. S. 109-113), and those of ■^)', ip' — \p, and log. siu ^, which I have computed by the preceding formula. In order to get an approximate idea of what these stars indicate, with reference to -the relation between distance and annual motion, I have taken the means of the cosines of ip' — xp in groups of twenty- five stars each ; the means of the natural sines of ^ ^''6 not syste- matically variable to any great extent throughout the table. Group. Value of A s. Mean (cos (\p' — \p) ) I. 7//053 — I'aTl 0.586 II. 1.103 — 0.707 0.615 . III. 0. 697 — 0. 583 0.468 IV. 0. 582 — 0. 489 0.390 V. 0. 485 — 0. 438 0.587 VI. 0. 4g5 _ 0. 350 0.588 VII. 0. 348 — 0. 201 0.403 VIII. 0. 200 — 0. 249 0.582 IX. 0. 247 — 0. 185 0.592 X. 0. 184 — 0. 079 0.747 General mean . . . 0.556 64 PBOCEEDINGS OF THE AMERICAN ACADEMY The mean sine of ^ is about equal to the integral divided by the integral ^ sm2x5x X 5 X or unity ; hence equal to i tt = 0.7854. The value of ■ ^ - will then, from the present series, be roughly r A s equal to 0.556 -~ 0.785 = 0.708, with a probable error of about ± 0.023. But it will be noticed that in the present group of stars the values of cos. {\\)' — I/') increase as the proper motions become smaller ; in the former paper they appeared to decrease; making it still more probable that the variations in both series arise from the errors of observation, and the very various regions in which 'the stars are situated, and not from any general deviation from constancy in the ratio r A s The value of this ratio, from the previous series, was found equal to 0.666 for forty -three- groups of the largest proper motions, and to 0.46 for eleven groups of smaller, or in the mean about 0.622 ; the best of the two values agreeing nearly with the present determination. This is sufficiently noteworthy, as the stars of the former series were, on the whole, those visible to the naked eye, or of the magni- tudes one to six inclusive ; of the present ones, very few are brighter than the sixth, and many are of the eighth and ninth ; so that so far the phenomena indicate hardly any dependence upon magnitude. In a future paper, I shall discuss a considerable number of other notable proper motions, which I myself have been lately employed in deter- mining for a catalogue of latitude stars ; and I intend to gradually accumulate materials for a more minute investigation of the whole subject, separating the stars according to their magnitudes and the region of the heavens in which they are situated. The delicacy of the investigation is very great, owing to the danger of taking that for stellar motion which is simply the result of the errors of observation. Of course the old observers had indifferent instruments ; but as a rule they used them well, if their work had plan and coherency enough to be preserved. Bradley's observations (1755) are still very accurate and indispensable; Piazzi and Groom- OF ARTS AND SCIENCES. 65 bridge (1800, 1810) are now old enough to determine many proper motions ; the early work of Struve, Bessel, and Argelander (1814- 1830), makes up in accuracy what it lacks in antiquity. But too many of the modern observers are careless in their compu- tations, and unsystematic in tlieir plan of work ; so that for many important stars there are no very late observations, while for mauy others a good many indilFerent observations can be found and reduced with considerable trouble. The subject is becoming more and more chaotic, and will continue to do so, unless observers bind themselves by more rigid rules not to make observations save with the utmost pre- cision, the most thorough system, and the most intelligent plan, directed towards a definite object. Of this fortunately there is good hope, as is shown in the interest in the great zones planned by Argelander, and now in progress under the auspices of the international "Astrono- mische Gesellschaft." The next step in the discussion will be to include the more numer- ous proper motions soon to be determined. Of those which have already been computed, Argelauder's older values, Lundahl's, have already been taken account of in my previous paper. These, with O. Struve's (which are nearly identical with a portion of Argelander's and Lundahl's and Main's), will shortly be redetermined in a more perfect manner, under Struve's and Auwers's direction, by a combi- nation of Bradley's observations re-reduced with the Pulcova and Greenwich modern observations. Galloway's southern proper motions have been re-determined by the Melbourne observations, and those made at the Cape of Good Hope ; but a careful study of these will be necessary, as good ancient observations in that region are scarce. Tiie great northern zones will in a few years furnish many more. Miidler's proper motions are, as I have before stated, rather precari- ous for some stars ; he has criticised the ancient observations too hastily. We are now justified in grouping any certain proper motions into normal places, taking in each case the total amount of proper motion as the unit ; or at least in so classifying stars which are apparently near each other in the heavens, and. not excessively flir apart in amount of aC We may regard it as settled that the star's distances are inversely proportional upon the whole to their proper motions. 56 PROCEEDINGS OF THE AMERICAN ACADEMY TABLE OF INDIVIDUAL STARS. Argelan- der's number. A s ^ i' ^'-^ log cos log. sin X 112 7''053 144°59' 246043' 101°44/ 9.3082 n 9.9004 104 4.748 186 34 240 6 53 32 9.7741 9.9857 105 4.403 282 22 242 24 — 39 58 9.8845* 9.9707 2 2.813 82 31 122 11 39 40 9.8864 9.9879 31 2. 359 51 54 136 20 84 26 8.9868 9.9193 140 2. 325 128 6 240 49 112 43 9.5868 n 9.8999 41) 2.236 126 1 160 51 34 50 9.9142 9.9739 240 2. 093 82 35 106 59 24 24 9.9594 9.9448 166 2.015 151 14 214 52 63 88 9.6475 9.9540 70 1. 9<38 156 35 211 34 54 59 9.7588 9.9780 81 1.688 247 80 225 11 — 22 19 9.9662 9.9950 181 1. 606 206 2 193 6 — 12 56 9.9888 9.7380 204 1. 537 221 41 114 8 —107 83 9.4793 n 9.7700 7 1. 436 90 19 114 58 24 89 9.9585 9.9479 177 1.433 197 47 203 30 5 43 9.9978 9.7100 89 1.426 249 25 235 0 - 14 25 9.9861 9.9878 78 1. 401 254 21 223 47 — 80 34 9.9350 9.9737 247 1. 383 135 58 122 42 — 13 16 9.9882 9.9991 43 1.375 153 49 158 32 4 43 9.9985 9.9980 206 1.333 101 15 143 47 42 82 9.8674 9.9779 161 1.306 247 24 220 12 — 27 12 9.9491 9.8548 102 1.269 197 8 6 23 169 15 9.9923 n 9.7700 76 1.261 302 0 255 10 — 46 50 9.8351 9.8040 187 1.207 208 54 180 23 — 28 81 9.9438 9.7013 71 1.171 187 33 213 9 25 36 9.9551 9.9777 157 1.103 296 16 294 32 — 1 44 9.9998 9.7477 74 1.013 164 15 235 31 71 16 9.5067 9.8440 37 0. 997 133 37 149 18 15 41 9.98.36 9.9954 120 0. 991 174 10 235 54 61 44 9.6754 9.9984 73 0. 969 201 2 216 4 15 2 9.9848 9.9853 133 0. 963 1.56 43 254 54 98 11 9.1534 n 9.8860 150 0. 944 294 13 221 11 — 73 2 9.4651 9.9376 203 0. 906 127 39 105 18 — 22 21 9.9660 9.7457 04 0. 891 172 21 237 39 65 18 9.6210 9.9841 137 0.880 285 58 232 44 — 53 14 9.7771 9.9574 211 0.870 86 50 128 2 41 12 9.8705 9.9021 126 0.868 160 47 232 20 71 33 9.5004 9.99(i-2 127 0.864 281 0 233 7 — 47 53 9.8265 9.9870 218 0. 859 186 42 118 7 — 68 85 9.5625 9.9014 185 0.848 7 49 343 3 — 24 46 9.9581 9.4214 228 0. 843 80 5 120 22 34 17 9.9171 9.9700 8 0. 816 69 27 124-18 54 51 9.7602 9.9872 85 (I 788 178 25 229 27 51 2 9.7980 9.9979 173 0.741 162 42 212 28 49 46 9.8102 9.7100 52 0.733 125 14. 169 31 44 17 9.8549 9.9t53 OP ARTS AND SCIENCES. 57 TABLE OF INDIVIDUAL STARS (continued). Argelan- der's number. A s ^ ^' f-'l' log. cos log. sin X 20 0"730 110°37' 131053' 21°16/ 9.9694 9.9786 129 0.719 173 34 236 55 63 21 9.6518 9 9584 61 0.719 135 49 183 44 • 47 55 9.8262 9.9725 198 0.707 177 43 151 56 - 25 47 9.9545 9.9658 39 0.707 27 13 104 27 77 14 9.3444 9.6806 221 0.697 240 43 133 37 —107 6 9.4685 n 9.9947 lU 0. 690 214 10 250 26 36 16 9.9065 9.9466 53 0.688 144 7 171 45 27 38 9.9474 9.9913 65 0.681 121 15 199 10 77 55 9.3208 9.9972 46 0.678 147 46 158 31 10 45 9.9923 9.9748 77 0.669 207 12 219 37 12 25 9.9898 9.9995 111 0.666 247 44 250 3 2 19 9.9996 9.9516 215 0.667 38 40 63 22 24 42 9.9583 9.8788 63 0.666 185 16 194 7 8 51 9.9948 9.9654 21 0.652 113 18 133 52 20 34 9.9714 9 9844 219 0.643 209 43 68 30 —141 13 9.8918 n 9.8827 110 0.640 273 10 247 51 — 25 19 9.9562 9.9-588 9 0. 639 185 45 124 17 — 61 28 9.6792 9.9832 196 0 636 346 27 59 59 73 32 9.4525 9.6490 33 0. 626 222 40 143 50 — 78 50 9.2870 9.9838 97 0. 624 158 52 239 14 80 22 9.2236 9.9815 200 0. 623 231 14 54 17 —176 57 9.9994 n 9.7447 12 0.623 82 9 127 4 44 55 9.8501 9.9805 216 0. 619 40 11 112 10 71 59 9.4904 9.9583 212 0.618 39 21 59 6 19 45 9.9736 9.8765 225 0.604 235 45 97 28 —138 17 9.8730 n 9.9042 145 0.600 244 46 224 40 — 20 6 9.9727 9.9873 207 0.597 63 15 59 59 — 3 16 9.9993 9.8316 210 0.591 46 56 139 1 92 5 8.5605 n 0.9804 238 0.583 76 44 99 12 22 28 9.9657 9.9300 191 0. 582 152 15 5 59 —146 16 9.9199 n 9.6935 64 0.582 141 39 2-52 16 110 37 9.5467 n 9.5224 106 0.577 110 43 239 46 129 3 9.7994 n 9.9885 217 0. 572 175 1 124 48 — 50 13 9.8061 9.9233 60 0.571 179 49 182 9 2 20 9.9996 9.9989 24 0.561 124 1 138 35 14 34 9.9858 9.9826 243 0. 558 101 32 122 18 20 40 9.9708 9.9989 224 0. 5.56 222 52 112 1 —110 51 9.5514 n 9.9267 199 0.547 295 0 • 98 2 163 2 9.9807 n 9.6-564 80 0.546 '248 57 240 6 — 8 51 9.9948 9.9044 241 0. 542. 92 51 122 32 29 41 9.9389 9.9996 59 0. 542 279 8 181 34 — 97 34 9.1195 n 9.9975 117 0.538 174 41 237 44 63 3 9.6-563 99932 190 0. 536 270 0 2 13 92 13 8.5875 n 9.7582 176 0.516 318 14 218 14 —100 0 9.2397 n 9.4943 58 PROCEEDINGS OF THE AMERICAN ACADEMY TABLE OF INDIVIDUAL STARS (continued). Argelan- der's number. A s ^ '/'' ^'-^ log. cos {^' - ^) log. sin X 14 0"516 138°48' 125°59' — 12°49' 9.9890 9.9555 118 0.514 277 22 237 4 — 40 18 9.8823 9.9965 , 91 0. 512 270 0 • 306 8 36 8 9.9072 9.9y96 134 0.510 266 11 261 48 — 4 23 9.9987 9.8738 2(3 0. 509 43 50 131 29 87 39 8.6128 99174 69 0.497 274 2 210 28 — 63 34 9.6485 9.9590 175 0. 493 278 9 337 14 59 5 9.7108 .9.7722 162 0.493 257 35 249 38 — 7 57 9.9958 9 6740 88 0.491 227 19 239 20 12 1 9.9904 9.9629 86 0.489 2U4 12 234 25 30 13 9.9366 99833 220 0. 485 110 0 127 8 17 8 9.9803 9.9519 159 0.481 205 23 217 41 12 18 9.9899 9.9157 284 0.480 219 5 115 19 —103 46 9.3765 n 9.9631 113 0.479 167 32 236 86 69 4 9.5530 9.9998 101 0.476 256 7 237 48 — 18 19 9.9774 9.9946 201 0. 473 173 24 98 16 — 75 8 9.4092 9.6907 1G3 0.472 153 36 316 22 162 46 9.9801 n 9.8066 125 0.471 221 24 233 7 11 43 9.9909 9.9930 68 0.469 245 59 204 54 — 41 5 - 9.8772 9.9498 195 0.468 165 12 142 16 - 22 59 9.9642 9.6846 179 0.466 331 38 346 56 15 18 9.9843 97717 45 0.466 123 14 159 40 36 26 9.9056 8.9657 23 0-466 216 37 129 8 — 87 29 8 6426 9.9196 58 0.4f>4 191 54 180 12 — 11 42 9.9909 9.9994 124 0.462 248 47 262 40 13 53 9.9871 9.9039 226 0.461 165 26 125 42 — 39 44 9.8859 9.9911 144 0.460 262 30 250 12 — 12 18 9.9899 9.8619 141 0.457 254 31 235 34 — 18 57 9.9758 9.9227 186 0. 455 300 30 351 41 51 11 9.7972 9.6689 99 0.447 254 49 250 3 — 4 46 9.9985 9.9476 80 0.446 105 36 144 14 38 38 9.8927 0.0000 35 0.445 108 11 147 3 38 52 9.8913 9.9882 222 0.441 142 48 131 55 — 10 53 9.9921 9.9925 15 0.439 283 11 129 58 —153 13 9.9507 n 9.9739 148 0.438 147 26 238 19 90 53 8.1880 n 9.8388 106 0. 435 294 1 312 38 18 37 9.9767 9.7518 108 0. 435 285 34 256 58 — 28 36 9.9435 9.9367 135 0.434 150 0 233 33 83 33 9.0505 9.9566 233 0. 430 30 12 95 12 65 0 9.6259 9.9200 136 0.417 297 55 258 29 — 39 26 9.8878 9.8707 19 0.414 116 33 117 21 0 48 0,0000 9.9044 128 0.400 309 53 279 24 — 30 20 9.9354 9.8942 98 0. 400 263 50 240 12 — 23 88 9.9620 9.9809 72 0. Syo 228 24 214 3 — 14 21 9.9862 9.9972 151 0. 398 273 53 224 43 — 49 10 9.8155 9.9085 OF ARTS AND SCIENCES. 59 TABLE OF INDIVIDUAL STARS (continued). Ary:elan- der's number. A s ^ ^' r-^ log. cos log. sin X 216 0"392 69055' 92°28' 22°33' 9 9655 9.8372 75 0.389 195 11 216 16 21 5 9.9699 9.9998 180 0.388 180 0 300 23 120 23 9.7040 n 9.1846 245 0. 387 92 40 115 47 23 7 9.9636 9 9711 82 0.881 205 44 222 0 16 16 9.9823 9.9794 122 0. 375 224 26 265 11 40 45 9.8794 99149 131 0.372 219 42 231 29 11 47 9.9908 9.9826 142 0.371 164 52 279 1 114 9 9.6119 n 9.8444 235 0. 369 213 34 123 22 — 90 12 7.5429 n 9.9980 18 0.366 145 0 126 58 — 18 2 9.9781 9.9522 47 0. 363 297 22 160 3 —137 19 9 8664 n 9.9990 229 0.361 71 25 109 23 37 58 9 8967 9.9354 184 0. 360 264 6 348 59 84 53 8.9503 9.7008 4 0. 356 92 35 118 48 26 13 9.9529 9.9680 149 0. 350 272 18 221 40 — 50 33 9.8023 9.9370 152 0. 348 141 59 292 51 150 52 9.9413 n 9.7904 • 165 0.342 164 24 213 5 48 41 9.8197 9.8851 182 0.340 151 38 327 56 176 18 9.9991 n 9.3245 183 0. 335 187 30 187 44 0 14 0.0000 9.8587 119 0. 332 256 57 249 59 — 6 58 9.9968 9.94-55 167 0. 328 297 5 310 29 13 24 9.9880 9.7233 93 0.323 179 29 234 39 55 10 9.7568 9.9969 121 0. 320 274 42 265 23 — 9 19 9.9942 9.9171 5 0.320 95 21 113 9 17 48 9.9787 9.9464 90 0. 319 170 12 235 15 65 3 9.6251 * 9.9911 178 0.318 207 40 322 41 115 1 9.6262 Q 9.5065 62 0. 315 138 44 188 12 49 28 9.8128 9.8759 193 0.314 195 45 170 1 — 25 44 9.0540 9.9348 130 0.314 162 45 230 14 67 29 9.5831 9.99-55 51 0.314 200 52 105 39 — 95 13 8.9587 n 9.2918 38 0.314 123 0 147 20 24 20 9.9596 9.9672 237 0.312 187 41 114 38 — 73 3 9.4647 9.9633 239 0.311 273 30 122 43 —150 47 9.9409 n 9.9998 174 0.310 191 37 338 49 147 12 9.9246 n 9.8057 231 0.310 116 6 124 17 8 11 9.9956 9.9996 208 0.309 67 48 136 6 68 18 9.5679 9.9438 147 0.303 230 30 224 47 — 5 43 9.9978 9.9551 172 0.302 282 44 202 15 — 80 29 9.2184 9.8844 249 0. 2'.)8 88 16 105 33 17 17 9.9799 9.9396 •/48 0. 291 111 58 104 20 — 7 38 9.9961 9.9371 29 0.290 191 42 136 56 — 54 46 9.7611 9.9444 10 0.286 169 10 122 41 — 46 29 9.8379 9.9741 109 0. 285 332 18 253 55 — 78 23 9.3040 9.9435 56 0. 283 165 16 179 0 13 44 9.9874 9.9709 84 0. 282 121 9 244 50 123 41 9.7440 n 9.9082 CO PROCEEDINGS OF THE AMERICAN ACADEMY TABLE OF INDIVIDUAL STARS {continued). Argelan- der's number. A s ^ i' ^'-i log. cos log. sin X 197 0"281 200^50' 151°20' — 49°30' 98125 9 9140 ' 55 0.280 115 22 175 30 60 8 9.6972 9.9375 250 0.279 84 51 116 12 31 21 9.9315 9.9668 244 0. 279 137 34 122 19 — 15 15 9.9844 9.9992 28 0.279 96 48 112 4 15 16 9.9844 9.8152 202 0.277 202 41 137 22 — 65 19 9.6208 9.8560 169 0.276 281 16 309 56 28 40 9.9432 9.6630 154 0. 274 296 27 268 32 — 27 55 9.9463 9.7252 95 0.273 67 4 238 43 171 39 9.9954 n 9.9819 168 0.269 177 10 302 48 125 38 9.7654 n 9.6503 44 0.268 166 39 101 33 — 65 6 9.6243 9.G649 11 0.267 134 47 123 22 — 11 25 9.9913 9.9668 160 0. 266 183 58 227 16 43 18 9.8G20 9.8225 67 0. 265 207 1 243 1 86 0 9.9080 9.9752 6 0.262 120 51 116 38 — 4 13 9.9988 99581 205 0. 258 51 54 59 26 7 32 9.9962 9.8082 34 0. 258 134 48 146 47 11 59 9.9904 9.9928 155 0.252 291 38 267 51 — 23 47 9.9615 9.7221 194 0.249 215 47 163 24 — 52 23 9.7856 9.9061 153 0.249 180 0 225 1 45 1 9.8494 9.8870 139 0.247 238 53 260 38 21 45 9.9680 9.8553 100 0. 247 158 30 240 48 82 18 9.1271 9.9806 132 0.244 80 6 261 50 —178 16 9.9998 n 9 8777 13 0. 243 93 32 125 29 31 57 9.9286 9.9711 36 0.240 94 5 145 5 51 0 9.7989 9.9521 25 0.240 180 0 117 27 — 62 33 9.6637 9.8466 ■27 0 239 178 5 129 3 — 49 2 9.8166 9.8990 170 0. 235 297 2 317 51 20 49 9.9707 9.6593 158 0. 235 170 55 288 57 118 2 9.6721 n 9.7295 16 0.226 113 9 129 32 16 23 9.9820 9.9686 103 0. 222 232 29 248 31 16 2 9.9828 9 9548 171 0.213 237 22 202 20 — 35 2 9.9132 9.8860 66 0. 213 185 42 206 16 20 34 9.9714 9.9073 209 0. 209 28 54 86 31 57 37 9.7288 9.7870 96 0. 209 187 29 242 48 55 19 9.7551 9.9663 67 0.204 177 18 206 18 29 0 9.9418 9.90-73 123 0. 201 357 49 261 3 — 96 46 9.0712n 9.9140 57 0. 200 202 49 179 46 — 23 3 9.9639 9 961-2 236 0. 197 106 33 123 16 16 43 9.9812 9.9979 87 0. 196 219 56 232 17 12 21 9.9898 9.9979 242 0. 191 168 1 122 36 — 45 25 9.8463 9.9999 48 0. 190 102 27 155 23 52 56 9.7801 9.9096 115 0.187 237 0 238 5 1 5 9.9999 9.9917 189 0. 185 222 49 178 40 — 44 9 9.8558 9.7411 104 0.185 355 21 279 53 — 75 28 9.3996 9.6466 OF ARTS AND SCIENCES. 61 TABLE OF INDIVIDUAL STARS (continued). Argelan- 1 -^ 1 ■ der's number. A s ^ ^' r-^ lof^. COS log. sin X 223 o/n84 67°3.5' 67°14' — 0 21 0.0000 9 9023 213 0. 184 188 8 119 53 — 68 15 9 5689 9.8730 50 0. 184 157 13 133 57 — 23 16 9.9632 9.5844 232 0.182 79 45 124 5 44 20 9.8545 9.9988 116 0. 182 286 59 237 44 — 49 15 9.8148 9.9933 32 0.179 95 27 142 24 46 57 9.8342 9.9720 5^1 0. 175 323 40 175 18 —148 22 9.9301 n 9.9685 17 0.174 124 43 132 5 7 22 9.9964 9.9847 1 0. 174 223 10 122 11 —100 59 9.2799 n 9.9895 22 0.163 111 15 133 27 22 12 9.9666 9.9654 88 0.161 219 2 227 57 8 55 9.9947 9.9896 188 0.154 270 0 226 22 — 43 38 9.8596 9.9934 79 0. 154 234 20 223 18 — 11 2 9.9919 9.9974 40 0. 150 115 16 151 7 35 51 9.9088 9.9411 214 0.149 112 33 . 134 34 22 1 9.9671 9.9627 102 0.149 263 26 255 21 — 85 9.9957 9.9365 188 0. 143 327 39 359 38 31 59 9.9285 9.4335 227 0. 137 104 55 127 2 22 7 9.9668 9.9993 42 0. 136 156 21 151 10 — 5 11 9.9982 9.8923 146 0.133 286 38 289 3 2 25 9.9996 9.8452 230 0.123 58 3 91 17 33 14 9.9224 9.9156 3 0. 108 76 30 123 16 46 46 9.8357 9.9931 143 0. 100 306 15 298 51 — 7 24 9.9964 9.8935 92 0.096 288 14 249 30 — 38- 44 9.8921 9.9857 41 0.079 139 30 155 7 15 37 9.9837 9.9980 62 PROCEEDINGS OF THE AMERICAN ACADEMY III. ON THE VEILED SOLAR SPOTS. By L. Trouvelot. Read by "William A. Rogers, Oct. 12, 1875. It is now pretty well established that the visible surface of the sun is a gaseous envelope called " the chromosphere ; " mainly composed of incandescent hydrogen gas, with which are occasionally associated some metallic vapors, usually occupying the lower strata. To all appearances, the granulations called " rice grains," the faculoe and the protuberances, are phenomena belonging to the chromosphere ; in fact, they are the chromosphere itself seen under the particular forms and aspects peculiar to it. Ordinarily this envelope has a thickness of 10" or 15". This thickness, however, is by no means constant, varying from day to day within certain narrow limits. At no time since I have observed the sun, have I seen the chro- mosphere so tliin and shallow as during the present year, and especially between June 10 and August 18. I had before quite often observed local depressions and upheavals of the chromosphere, sometimes ex- tending over lai'ge surfaces, but I had never before observed such a general subsidence. So thin was the chromosphere during this period, that it was some- times very difficult to obtain its spectrum by placing the slit of the spectroscope tangent to the limb of the sun. This was especially the case on the afternoon of August 9. This unusual thinness of the chromosphere could be easily recognized without the assistance of the spectroscope. Indeed, the phenomenon was even more interesting seen through the telescope, as, with it, the structure of the photosphere, lying as it does under the envelope of the chromosphere, could be better seen through the thin veil formed by the greatly attenuated chromospheric gases. That the gases forming the chromosphere are sometimes thin enough to become transparent is a phenomenon which I have observed hun- dreds of times ; as is abundantly proved by the numerous drawings of OF ARTS AND SCIENCES. 63 protuberances which I have made at the Harvard College Observatory, in which the limb of the sun is seen through the base of the protuber- ances in front of it. In plate X, figure 3, there occurs a very striking instance, where two small prominences are seen through a larger pro- tuberance nearer the observer. During this period of general subsidence, the granulations appeared to be smaller and farther apart than usual, and consequently the light- gray colored background uj^on which they are seen projected was more distinct, as it occupied more space than formerly. During this period, the light-giving element would appear to have been less than usual. I am not aware that the phenomena of which I shall speak in this communication' have been before observed; but I cannot speak posi- tively on this point, owing perhaps to the somewhat confused nomen- clature of solar physics. Ever since I have observed the sun with instruments of a large aperture, I have noticed that the light-gray colored background seen between the granulations is by no means uniform, as it is generally stated to be. On the contrary, it is greatly and strikingly diversified. Aside from the very small black dots called "pores," patches of a darker gray are irregularly distributed all over the surface of the sun. But partly owing to the effect of perspective, and partly on account of the thicker strata of the chromospheric gases through which they are necessarily seen near the limb, they disappear gradually as they approach the border. These dark spots have been so remarkable during the present year, and so conspicuous during the period of the greatest subsidence of the chromosphere, that I have availed myself of every favorable opportu- nity to study them. So strongly were they marked, that when one had passed the field of view, it coukl be easily found again among many others, even after the lapse of several hours. Of the most striking and complicated, I have made sketches. In order to be able to count how many of these gray spots could be seen in different heliographic latitudes, and also to estimate their area with respect to the whole surface of the sun, Mr. W. A. Rogers, Assistant at the Harvard College Observatory, liindly ruled for me on glass a reticule of small squares. Though the problem is apparently a simple one, it nevertheless presented many difficulties ; partly owing to the minuteness and delicacy of these objects, partly on account of the unsteadiness of the atmosphere, and partly to the many defects caused by the great amount of heat concentrated at the focus of the objective. However, the observations show clearly that, 64 PROCEEDINGS OF THE AMERICAN ACADEMY though the number of gray spots varies but little in different latitudes, in general the spots become larger and more complicated as they approach the equatorial zones. The most marked characteristic of the gray spots is their vagueness of outline. They are never sharply defined like ordinary spots, but they appear blurred and diffused like an object seen through a mist. As I shall endeavor to show presently, tlrese objects are really seen through the chromospheric gases which are spread as a veil over them, causing this vagueness of outlines. For this reason, I propose for them the name of Veiled Solar Spots. The veiled solar spots, especially in the lower latitudes, have a remarkable tendency to assemble into small groups after the manner of ordinary spots. Sometimes three or four are seen in contact, while there are comparatively large intervals where none are to be seen. I have in several instances seen the actual formation into groups of distinct veiled spots. The granulations of the chromosphere are seen projected upon the veiled spots, just as anywhere else, but they are not there so regularly distributed ; some being closely crowded together, while others are widely scattered. Small faculae are often formed in this manner by the aggregation of several granules into one mass. Once in a while, the granulations appear as if they were under the power of a propelling force by which they arrange themselves in files, and sometimes in capricious figures which are very remarkable. In many cases I have observed that the granulations projected upon the veiled spots have an extraordinary mobility, to be seen nowhere else, except perhaps in the immediate vicinity of ordinary spots in full activity. Often their form and position are totallv changed within a few minutes, and sometimes even within a few sec- onds. This was especially the case June 21. At 8h. oOni. on that day, I was observing a group of veiled spots not far from the centre of the sun, when my attention was drawn to the extraordinary mo- bility of the granulations covering this group. In an instant they changed their form and position, some crowding together as though briskly attracting each other, while others would fly apart as if repelled by an invisible- force. Under this tumultuous conflict of forces, new veiled spots would appear and disappear in an instant, facula3 would form and vanish ; in fact, all was in motion and con- fusion on that particular part of the sun. It was evident that im- mense forces were in conflict under the chromosphere. At 2h. Om. P.M., on the same day, several small "black spots had OF ARTS AND SCIENCES. G5 opened through the chromosphere upon the group of veiled spots observed in the morning. At 8h. Om. on the following morning, the group of small black spots was considerably increased, having quite a large spot on the preceding side, followed by twelve or fifteen smaller ones. On June 24, this group had attained to its maximum size. It was then very large and complicated. In fact, it was the largt-st group' of sun spots observed thus far during the present year. On August 8, I noticed a group of veiled spots a little south of the sun's centre. The following morning at 7h. Om., there was at the same place a small group of half a dozen black spots disposed in a crescent shape. At 2h. Om. p.m., the black spots had vanished, but the veiled spots still remained, having retained the cliaracteristic crescent form of the black spots and many other details observed in the morning; and, as a proof that the chromosphere covered this sj)ot, the granulations could be plainly seen upon the ivhole, indicating cleaniy that this spot ivas seen through the veil of the chromosphcric gases. On August 24, the same phenomenon took place. Just following the principal spot of the only group then to be seen on the surface of the sun, there was a fine group of veiled spots. The following day some black spots had made their appearance upon them. On August 27, the black spots had vanished, but j[^i their place the veiled spots seen at first still remained, and they continued to be seen there for several days. To all appearances, the black spots which I had seen disappear under the cliromospheric gases, and which continued as veiled spots, were exactly alike and undistinguishable from the many other veiled spots scattered all over the sun ; and, had I not seen the open- ing of the photosphere, with the black spots, I could not have had any idea of the true nature of the veiled spots. So far, I have only spoken of veiled spots observed in the zones where the ordinary sun spots make usually their appearance ; but, as I bave said, the veiled spots are scattei-ed all over the surface of the sun. During this period, I had many occasions to observe very remark- able and characteristic veiled spots in very high heliographic latitudes north and south. On July 15, within a few degrees of the north pole of the sun, I observed a remarkable veiled spot, unusually large and dark. Upon it were several bright slender faculaj projected in crest shape to very high altitudes. These faculoe appeared to be pre- cisely like those observed in lower latitudes near ordinary sun spots. VOL. XI. (n. S. II.) 6 Q6 PROCEEDINGS OF THE AMERICAN ACADEMY Upon this veiled spot oould unmistakably be seen a small black spot, not a pore ; a real opening of both chromosphere and photosphere. On August 9, I observed another remarkable veiled spot within about 10° from the north pole, and upon it could be seen three small black spots. On August 13, at llh. Om., I observed a very dark veiled spot within 6° or 8° from the north pole. It had upon it a group of small faculjB, so characteristic of the spots of lower latitudes. At 4h. 30m. in the afternoon, this veiled spot was still darker, and upon it, near a facula, a pretty large black spot was visible. On August 24, I observed a remarkable veiled spot at about 75° south latitude. On September 6, another large group of veiled spots was seen within lO'* or 15° of the north pole. At lOh. 20m., some faculie had formed upon it, and two l)lnck spots were distinctly visible. At 5h. Om. in the afternoon, this group was still visible. On September 8. within a few degrees of the north pole, I ob- served a fine group of two veiled spots, unusually dark and large, and near one of these spots there was a pretty large and bright facula. Ten minutes later the dark veiled spots iiad vanished, leaving in their place some bright faculte. One minute later the veiled -spots began to re- appear, but under another form, ta disappear again the next moment. A little soutli-west from this last group, but in the same field of view, was another group of veiled spots apjiarently in full activit}'. Upon it three or four black spots were visible for some seconds. Upon these veiled spots the granulations had an extraordinary mobil- ity ; so much so, that I expected at every moment to see a large spot make its appearance, but in less than a minute the veiled spots and the black spots had both vanished, and in their place were formed in an instant, some very bright faculae. To all appearances, the veiled spots seen in high latitudes differ but very little from the ordinary sun spots of the lower latitudes, except in regard to magnitude and activity. The difference seems particu- larly to be that, in the first, the umbra, instead of being freed from«the gases and vapors, is partly or wholly choked with them ; while, be- sides, the chromosphere covers it. The forces which open thfe photo- sphere in high latitudes, it would seem, have not sufficient enei'gy to repel or dissolve the chromospheric gases ; or, if they have, it is in a very feeble degree, but, even then, the iihenomenon is generally of short duration. Though I had no means of making accurate measurements of the OF ARTS AND SCIENCES. 67 position of .the spots seen in high latitudes, the error of my estima- tion cannot be very great. In any case a few degrees would certainly cover it, and it remains a fact that I have observed spots at least witliiu 10° of the north jiole of the sun. The importance of this observation will appear when it is stated that very few spots have been observed outside of the zones lying 40° on either side of the equator. I know of but two instances on record in which spots have been observed beyond this limit. La Hire observed a spot 70° from the equator, and more recently, in the month of June, 1846, M. Peters observed at Naples a spot 50° from the equator. It is further to be remarked that, according to the conclusions of the English observers, the solar spots attain higher latitudes during the years of the maximum number of sppts, and recede more and moi-e towards the equator as the minimum is approaching; and it is to be noted that the present year is precisely, or at least very nearly, a minimum year. It is doubtles.s owing to the unusual thinness of the chromo- sphere during this period that spots have been observed in so high latitudes tliis year. It is true that the spots were small, but, never- theless, they were genuine spots, with all the characteristics of larger spots. It is difficult for one who has seen the phenomena which I have described, to come to any other conclusion than this : that the veiled spots are breaks or true openings in the photosphere, seen through the imperfectly transparent gases composing the chromosphere, openings themselves partly or wholly filled by the vapors ejected by the foi'ces from the interior of the photosphere. If this hypothesis should prove to be the expression of a fact, then we should expect to find that the photosphere is perforated by thousands of crevasses either partly or entirely filled with tlie vapors and gases from the interior, which can- not be ejected entirely outside for want of sufficient energy, save for a compai'atively very small number situated in the equatorial zones, where this energy appears maximum, and is able to repel and dissolve the gases from the interior. Before the observations of this year, I had arrived at precisely the same conclusions in regard to the openings of the photos[)here in all latitudes; and to the existence of invisible spots concealed by tiie chromosphere. These conclusions were derived from my observations with the spectroscope, made at Harvard College Observatory during u period of thirty-five months. A discussion of these observations is reserved for a future communication. Though one can hardly form a settled opinion with regard to the 68 PROCEEDINGS OF THE AMERICAN ACADEMY cause of the general depression of the chromosphere, on account of the imperfect data, it seems natural, however, to suppose that the phenomenon is connected in some way with the minimum period of sun spots. Judging by the great number of veiled spots observed, and by the myriads of pores seen between the granulations, it would seem that both the chromosphere and photosphere have been much tliinner than usual during the present year. If there are breaks in the photosphere at many points of the sur- fece of the sun, it becomes easv to account for the unusual thinness of the chromosphere this year, because, as observed by myself and others, at certain phases of the spots, the chromospheric gases, rushing with impetuosity into the umbra, go down under the photosphere like gigan- tic waterftdls, diminishing consequently the thickness of tlie chromo- sphere. That this takes place I shall give ample proof in another communication. It seems evident that the chromosphere near a spot is kept off from falling into the opening by a force from the interior. As soon as this force decreases in energy, immediately the chromosphere tends to cover it, and even to precipitate itself through the opening when this force becomes extinct. The observations show this plainly. When a spot is decreasing, it is quite common to observe that the umbra and penumbra appear as if they were seen through a heavy fall of snow, their surfaces being covered by numerous bright flocculent granulations surrounded by a kind of bluish fog. In a few instants of very rare definition, I have been surprised to see faint traces of this floc- culent appearance upon almost all the spots ; indeed it would seem that the spots are rarely free from some faint traces of the chromospheric gases. Probably the bright flocculent objects observed upon the umbra and i^enumbra of spots, are the granulations of the chromosphere dis- solved to a greater or less degree by the forces emanating from the spots. Perhaps it may not be idle to remark that, during the period men- tioned, I have almost every day observed small groups of faculaj in the polar regions, especially near the north pole of the sun ; while, for tlie most part, they have been entirely absent from the equatorial regions, where they are commonly found. To conclude, my observations show : — 1°. That during this year, and especially during the interval from June 10 to August 18, and to a less degree to September 14, the chromosphere has been notably thinner than usual upon the entire surface of the sun. OF ARTS AND SCIENCES. 69 2**. That the granulations have been smaller and less numerous. 3*. That the light-gray colored background seen between the granules has been more conspicuous and has occupied more space than usual. 4^*. That there are spots, which I have named " veiled spots," which are seen through the chromosphere which is sjiread over them like a veil. 5*^. That these veiled spots are true openings of the photosphere, like those of the ordiuarj^ spots. 6®. That during this period these spots have been larger, darker, and more numerous than I have before seen them. 7*^. That the veiled spots are scattered throughout all latitudes, though more complicated in the regions where the ordinary spots make their appearance. 8*. That I have observed spots at least within 10° of the north pole of the sun. 9°. That the flocculent objects sometimes seen projected upon the umbra and penumbra of sj^ots are the remaining portion of the granulations composing the chromosphere, more or less dis- solved by the forces emanating from the interior of the photo- sphere. Cambridge, October 1, 1875. 70 PROCEEDINGS OP THE AMERICAN ACADEMY IV. ON PHOTOGRAPHS OF THE SOLAR SPECTRUM. By Robert Amory, M.D. Bead, May 25, 1875. The photographs I now present to the Academy were taken by the action of sunlight, thrown by a collimating lens (21 inches focal length) upon one of Mr. Rutherford's ruled speculum plates, contain- ing 12,080 lines to the inch, and reflected therefrom upon an achro- matic lens of five feet focus ; the image was then received upon a sensitized collodion film. It will be observed that the solar lines are more numerous than those shown by the photograph-map (herewith also presented) of Professor J. W. Draper, and published in 1872, which was taken from a ruled speculum plate containing only 6,480 lines to the inch. One of my photograph plates has been enlarged to the same scale as that of Professor Draper's, and comprises solar lines whose wave-lengths, as compared with Angstrom's map, are between 4,590 and 3,700. I likewise 23resent photographs of the absorption bands of Uranium acetate, in which the three bands can be distinctly seen, as well also as the solar lines of that portion of the spectrum. In the apparatus used for these experiments, I would call the' atten- tion of the Academy to the following observed fact : that, if the slit of the collimator is placed exactly at the principal focus of the collimat- ing lens, the solar lines are in focus for all the different orders of the spectrum upon the true arc of a circle. If, however, the slit is outside of the principal focus, these solar lines are in focus on a curve which is not the arc of a circle, but whose radius gradually becomes shorter in the higher orders. If, again, the slit is inside of the principal focus, the radius of the curve gradually becomes longer in the higher orders. The diagram I present may, perhaps, illustrate this foct more clearly. Any one may verify it by direct experiment. Moreover, in using a dark chamber of large width between the sen- sitized film and the lens used for projection of the image from the grating, and placing between this projecting lens and the sensitized film a diaphragm which allows only that portion of the spectrum actually photographed to pass through, I have had no trouble from diffused light. In my earlier experiments, a dark tube of the same calibre as the diameter of the i:)rojecting lens would always mar the sensitized plate, on account of tlie diffused light, no matter how care- fully the tube was fitted with diaphragms. f^ y / -Jo^: I ^si^ed -^ -/^ *i^^./-y^/ g^-76 OP ARTS AND SCIENCES. 71 V. MISCELLANEOUS BOTANICAL CONTRIBUTIONS. By Asa Gray. Presented, Oct. 12, 1875. The following notes and characters relate mainly to Califorui m botany, the writer having been engaged in the preparation of the Gamopetal(je for Professor Brewer's Botany of California, now print- ing. Some of the observations are such as could not well be recorded in that work ; and the characters of certain new genera and species may appropriately be introduced to the botanical world in a continua- tion of the " Contributions " which have from time to time been com- municated to the Academy, and published in its Proceedings. My first note has reference to two plants of the Atlantic United States, wiiich have lonij been confounded. •^ Sedum pusillum Michx, Glauco-pallidum, -l-S-unciale ; foliis alternis teretiusculis oblongis (lin. 2-3-longis) ; floribus ad summitatem ramorum laxe cymosis tetrameris ; pedicellis petala alba oblongo-ovata acutiuscula suba^quantibus ; folliculis elongato-oblongis stylo brevis- simo subito apiculatis ; seminibus ovali-oblongis. — On granite rocks ; Flat Rock near Camden, South Carolina, Michaux ; Stone Mountain, Georgia, W. M. Canby, 1869, and A. Gray, 1.875. This little plant I found on Stone JNIountain, in great abundance from the base to near the summit, in full blossom on the 19th of April last. Fruiting speci- mens were sparingly collected at the sam.^ station in May, 1809, by Mr. Canby, who, however, did not distinguish it from Diamorpha pusilla Nutt., which accompanies it, but is most abundant towards and upon the summit of this singular granitic mountain. I cannot learn that the true Sedum pusiUum has been elsewhere seen, except, long ago, by Michaux. But the two are probably associated at other stations. At least they must be so at Flat Rock. For there Nuttall collected, in winter, old fruiting specimens of the plant he described in his Genera Plantarum, p. 110, as '■'■Tlllceal cymosa {Sedum pusillum Michx.)," and on p. 293 as " Diamorpha piusilla {Sedum picsillum 72 PROCEEDINGS OF THE AMERICAN ACADEMY Michx.)." Until now no one has supposed that there were two jilants in question, because no botanist had been attracted to them by seeing the two plants in flower together. The specimens in Michaux's lierba- rium are in fruit, or mainly so, but the phrase " flores albi octandri " is appended to the character in the Flora. Michaux might have col- lected and confounded the two ; but Professor Bureau, who kindly compared sjiecimens for me, informs me that the Sedum in the herba- rium of Michaux is unmixed with Diamorpha. The two plants are different enough in aspect as well as in botanical characters. The Sedum is the larger, earlier to blossom, of a pale and glaucous hue, and, with its profusion of pure white flowers, is more conspicuous, even showy ; the pods are abruptly pointed with a very short style, have the iutroi'se dehiscence proper to the genus, and the seeds are oblong. The DiamorpJia^ of barely half the size, and with proportionally wider leaves, has a dull purplish hue, extending more or less to the flowers ; the sepals are distinct nearly to the base and narrower ; the petals oval and obtuse ; the ovaries and pods tajjering from a broader base into a subulate style ; the seeds round-oval ; and the cruciform union of the pods at base and their ^Jeeuliar dorsal valvular dehiscence, peculiar to the genus, are as described by Nuttall. • With these two plants was associated another rarity ; viz., the Arenaria hrevifolia of Nuttall, in full blossom at the same season. Mr. Canby also collected it, and very naturally took it for Arenaria glabra Michx., to which, indeed, it is too closely related, but is probably distinct. '^ Cleomella oocarpa. Diffusa, spithamtea ad subpedalem ; foliolis oblongo-linearibus ; racemo sa^pissime densifloro ; bracteis inferioribus foliis conformibus, superioribus simplicibus ; setulis stipularibus mani- festis ; staminibus petala superantibus ; ovario apice 3-ovulato ; capsula ovata lineam longa stylo breviusculo superata stipite (pedicelhim subaequante) triplo breviore ; seminibus 1-2 Ifevibus. — Sterile saline plains of Humboldt County, Nevada, Torrey, A. Gray ; and adobe hillsides and plains on the borders of the Mesa Verde, South-west Colorado, T. S. Brandegee, in Hayden's Exploration, 1875. This has been confounded with 0. plocasperma, Watson, Bot. King Exp. p. 33, which, thus far, has been collected only by Mr. Watson and the Rev. R. Burgess, and has a larger and dilated rhombic pod, on a stipe which generally little exceeds it in length, more numerous and laterally inserted ovules, seeds with peculiar marking, shorter stamens, -(fee. ^ OP ARTS AND SCIENCES. 73 POLYGALA ACANTHOCLADA. Fruticulosa, bipeclalis, ramosissima, subciuereo-pubescens, spiuis gracilibus armata ; foliis lineari-spathulatis rigidulis (lin. 3-4 longis) ; floribus subaxillaribus sparsis albidis liii. 2 longis pedicello basi bibracteato parum brevioribus ; alls obovatis sepalis casteris duplo majoi-ibus corollam adtequautibus ; carina bre- viter cymbiformi nuda dorso umbonata. — Sides of bkiff'8, on the San Juan River, in the south-eastern border of Utah, T. S. Brandegee, in Hayden's Exploration. Resembles P. suhspinosa of Watson, but woody ; the flowers scattered, pale, and less than half the size ; the free portion of the corolla of five short and obtuse lobes nearly equal in length and little longer than the united portion, emarginate ; the keel not much larger, a conical boss on the upper part of the back ; no crest. Spines of the branchlets often compound. No fruit seen. Glossopetalon Nevadense. Cinereo-puberulum ; foliis ovalibus e basi squamaceu dilatata mauifeste stipulifera ; floribus tetrameris. — Northern part of Washoe County, Nevada, J. G. Lemmon and E. L. Case. All interesting addition to an anomalous genus, upon the affinity of which more light may now be thrown. I had noticed the likeness of the fruit and seed to that of the Staphyleaceous genus ^uscaphis,' and I can now bring to view other points, which alto- gether must exclude it from Celastracece, and in my opinion refer it to the Sapindacece, suborder Staphyleinece,^ notwithstanding the alternate entire leaves. Mr. Wright's original specimens of G. spinescens show no clear trace of stipules ; but in fresh ones from Parry's Southern Utah collection (No. 27), they are evident on vigorous shoots, in the form of a setaceous-subulate cusp on each side and near the apex of the deltoid squamaceous base of the leaf. As in analogous cases, they are wanting to the fascicled leaves. As in the original specimens of G. spinescens, so in these, altiiough seeds seem to be full-grown and well- formed, I find not a single developed embryo. If this should prove to be straiglit and the albumen wanting, I should refer the genus to Hosacece near to Purshia ; but I expect it will turn out otherwise. Petalostejion tenuifolius. Multicaulis e radice perenni, pubes- cens, nunc glabratus ; foliis 3-5-foliolatis ; foliolis mox involutis lili- formi-linearibus petiolo brevioribus parce glandulosis ; spicis longius peduiiculatis ex ovata demum cylindricis densifloris ; bracteis ovatis caudato-aristatis cum calyce sericeo-villosis eglandulosis ; corolla roseo- * " Staphi/lece " Benth. & Hook, is only the plural of Staphylea, and Slaphyleece is overchaiged with vowels. 74 PROCEEDINGS OF THE AMERICAN ACADEMY purpurea, vexillo rotundato-cordato cucullato. — Arkansas, at the cross- ing of Red River, Dr. Newberry ; New Mexico, Mr. Dieffendorfer (ex T. C. Porter), J. T. Rothrock. Much branched, apparently a foot or less in heiglit, bearing numerous spikes on slender peduncles : leaflets about half an inch long : spikes at first white with the silky down, in age fulvous. •^ Galiuji angulosu.m. Fruticosum, patenti-ramosissimum, hispi- dum ; ramis insigniter costato-o-7-angulatis ; foliis crebris sublineari- oblongis fere eveniis, cpsta subtus prominula, caulinis 5-7-nis (lin. 3-4 longis), ramulorura 4-6-nis paullo minoribus, ultimis florem brevi- pedunculatum fulcrantibus conformibus ; corolla flavescente ; fructu ut yidetur carnosulo vel baccato fere Itevi. — Guadalupe Island, on rocky precipices in the middle of the island, Dr. E. Palmer. This species seemingly belongs to the Relbuniiun section ; but only forming fruit was collected ; its surface is obscurely granulate. The leaves on the crowded and divaricate branches are as long as the internodes or longer ; and the ultimate whorl and its interuode are just like the preceding ones, in which respect it diifers much from G. Relbun and its near allies. The numerous ribs to the stem are remarkable, and tiiey are visible even on portions that have become woody. ' Brickellia mickophylla Gray, var. scabra. Foliis parvulis rigidioribus papilloso- vel Iiirtello-scabris ; pappo tantum 16-20-cha;to. — Rocks, Southern Colorado, Dr. Parry, T. S. Braudegee in Hay- den's Exploration, 1875. Aplopappus (Ericameria) Palmeri. Fruticosus, 4-pedalis, paniculato-ramosissimus ; ramis floridis nunc virgatis sursum floriferis nunc in paniculam effusam ramulosam solutis ; foliis filiformibus (pol- licaribus, fasciculorum brevioribus) parum punctatis ; involucro tur- binato, squamis lato-linearibus chartaceis graiuiloso-subglandulosis apicem obtusissimum versus fimbriolato-ciliatis ; ligulis 3-4 flores disci 11-15 baud superantibus ; acheniis breviter linearibus villosulis. — Tecate Mountains, in Lower California, twenty or thirty miles below the State boundary. Dr. E. Palmer. Allied to A. laricifoUus, &c. Heads only four lines long. BiGELOviA (Aplodiscus) spathulata. Ramosissima, pauci- pedalis, glabra, parum glutinosa ; ramulis floridis brevibus foliosis ; foliis (semiuncialibus) cuneato- seu obovato-spathulatis retusis integer- rimis coriaceis vix punctatis eveniis, costa obscura ; capitulis corymbosis (lin. 4-5-longis) 16-floris; involucri turbinati squamis coriaceis, inti- mis latiuscule linearibus pallidis, exterioribus seusim brevioribus eras- OF ARTS AND SCIENCES. 75 sioribus viridulisque, in bracteolas pedicelli brevis transeuntibus ; styli appendicibus tenui-subulatis ■ parti stigraatiferae latiori a;quilono-is ; acheniis sericeo-villosis subturbinatis. — Near the entrance of tlie Tantillas Great Cailon, in Lower California, near the borders of the State, Dr. E. Palmer. This singularl}' resembles our Aplopappus cuneatus ; but it has no trace of rays; the leaves are destitute of glutinous exudation and are obscurely when at all punctate ; the scales of tlie involucre are not carinate ; the akenes shorter and silky ; and tlie bristles of the pappus not (as in that plant) clavellate-thickened. It must stand near to B. Menziesii ; but the style-appendages are as iu the Chrijsothamnus section. "^ BiGELoviA (Chrysothamnopsis, post No. 15 revisionis) Engel- niANNi. Spithamtea et ultra e basi fruticosa, fere glabra et viridis ; foliis crebris angustissime linearibus rigidulis mucronato-acutatis pateii- tibus (poll. 1-2 longis semilin. ad lineam latis), costa valida ; capitulis sessilibus fastigiatim corymboso-glomeratis ; involucro oblongo-tur- binato 15-20-floro, squamis oblongo-lanceolatis cuspidato-acuminatis, exterioribus sensim brevioribus hand folioso-appendiculatis ; corollis 5-dentatis; appendicibus styli breviter crassiuscule subulatis ; acheniis lineari-oblongis glaberrimis. — Plains of the eastern part of Colorado, at Hugo Station on the Arkansas Pacific Railroad, Dr. Engelmaun and Dr. Parry, 1874 ; H. N. Patterson, 1875. BiGELOViA Greenei. (Chrysothamnus, * * H- ante No. 19 revisiojiis.) Pedalis, glaberrima ; foliis angustissime linearibus mucronatis minutim remotiuscule hirtello-ciliolatis ; capitulis corym- boso-fasciculatis angusto-oblongis ; involucri squamis oblougis margine tenuiter scariosis apice subito caudato-acumiuatis ; pappo rigidulo. — Huerfano Plains, southern part of Colorado, Rev. E. L. Greene, 1872. y DiPLOSTEPHiUM CANUM. (ApLOSTEPHTUM, ligulis paucis parvis stylo sue brevioribus, pappo simplici.) Frutex ramosus, validus, to- mento implexo dealbatus ; foliis spathulatis vel angusto-oblongis basi attenuatis subpetiolatis integerrimis planis e costa valida subreticulato- venosis ; capitulis laxe cj-mosis vel subpaniculatis, primariis in dicho- tomiis sessilibus ; involucro brevi-oblongo crebre tomentoso, squamis obtusis ; floribus purpurascentibus, radii 4-6, ligula inconspicua disco breviore 2-3-dentata; disci 12-20, corollis 5-deutatis, appendicibus styli brevibus acutiusculis ; acheniis linearibus subcompressis 4-5- nerviis sericeo-hirtellis ; pappo e setis rigidulis plerumque ajquali- bus, vel perpaucis exterioribus minimis. — Guadalupe Island, off 76 PROCEEDINGS OF THE AMERICAN ACADEMY Lower California, Dr. E. Palmer ; who mentions it as " a large shrub, about four feet high, of rather loose habit, found only iu the crevices of high rocky cliffs, March 28. Flowers yellow." A purple hue in the small I'ays is evident, and the disk-corollas seem to have turned purplish also, as tliey are apt to do in the heterocliro- mous Asterinece. The plant agrees so well in habit, and so nearly in character, with Dlplostephium of South America that it may fairly be referred to that genus, some species of which are equally destitute of an outer abbreviated pappus, while some are said to want the ray altogether. The general aspect is also much that of the InidecB, an Old World group ; but the anthers are completely tailless, and the appendages of the style-branches are manifest, although not strongly marked internally, the stigmatic lines not ending abruptly. Still more does it recall some of the South American Vernoni(s in appear- ance and especially in inflorescence. It seems best not to constitute genera upon single species with no more salient characters than these, but a subgeneric distinction may mark its peculiarities. The heads are barely half an inch long. •^ Aster Coloradoensis. Mach.eranthera sed pereunis, nanus, tomentuloso-canescens ; caulibus in caudice lignescente confertis pluri- mis monocephalis ; foliis imis spathulatis, summis fere linearibus, omnibus argute dentatis, dentibus spinuloso-setiferis ; involucri hemi- sphserici squamis pluriserialibus subulatis laxiusculis ; ligulis 3")-40 linearibus purpureis elongatis ; acheniis brevibus turbinatis creberrime cano-viilosis. — Colorado Rocky Mountains ; in South Pai-k, on banks, gravel-bars, or open hills, Canby, Porter, Wolf and Roth- rock, Greene ; and San Juan Pass in the south-western part of the State, at 12,000 feet, Braudegee. A species several times collected and passed over as a very dwarf form of A. canescens, from which it is wholly distinct. The tufted stems ai-e only 2 or 3 inches high. •^ DicORiA Brandegei. Diffusa, pube substrigulosa cinerea; foliis lanceolatis obtusis subintegerrimis ; capitulis laxe racemoso-paniculatis jiarvis ; involucri squama interna florem foemineum fulcrante unica c;\3teris hand longiore achenio oblongo turgido margine calloso-dentato subdimidio breviore. — On the Rio Montezuma de San Juan, near the south-western corner of Colorado, T. S. Brandegee in Ilayden's Ex- ploration, 1875. An interesting accession to the genus, requiring considerable modification of the character, there being only one female flower; its broad subtending scale hardly enlarging, thin but not scarious or colored ; the exserted and naked akene more thick, convex and angled on the back, develoj)ing on the margins only I'igid blunt OF ARTS AND SCIENCES. 77 teeth for the wing ; palere of the receptacle only one or two among the male flowers. Filaments monadel[)hons to the top, as in D. cones- cens, and anthers pointless ; the style abortive and functionless as a pollen-distributor. ^ Franseria ilicifolia. Fruticosa, hirsutula ; foliis rigido-coriaceis oblongis vel ovatis basi auriculata subamplexicai;libus penniveniis et reticulato-venulosis grosse dentatis, dentibus apiceque sa^pius acumi- nato-spinescentibus ; capitulis masculis hand visis, foemiueis fructiferis globosis bilocularibus dispermis aculeis crebris longis hamatis armatis, rostris 2 aculeis baud lougioribus parum crassioribus. — Great Cafion of the Tantillas Mountains, near the northern border of Lower Cali- fornia, Dr. E. Palmer. Flowering branches very leafy to the sum- mit, hirsute or hispid : leaves an inch or two in length, tipped with a very sharp rigid spine ; fruiting involucre half an inch in diame- ter, including the slender prickles, which are 2 lines long. ■^ "Wyethia coriacea. Pedalis, villoso-pubescens, paucifoliata ; foliis longe petiolatis coriaceis eximie reticulatis aut lato-ovatis basi nunc truncata nunc obliqua vel acuta, aut oblongis in petiolum angus- tatis ; capitulis panels breviter pedunculatis ; involucro oblongo e squamis 5-6 oblongis lanceolatisve ligulas sequantibus vel superan- tibus cum interioribus perpaucis parvulis subpaleaceis ; acheniis glabris, radii oblongis obcompressis, disci angustioi'ibus prisma- ticis 4-o-angulatis, omnibus exaristatis. — On tlie Mesa Grande, 70 miles north-east of San Diego, California, Dr. E. Palmer. A remarkable dwarf species, with leaves varying from 3 to 5 inches long, and sometimes nearly as broad, on petioles 2 to 4 inches long ; the broader ones with some of the lower and stronger primary veins or ribs converging to the apex, or running into false veins by anastomosis. Heads an inch or so in length. Rays 5 to 8 ; ligules only half an inch long. Pappus of 4 to 6 short ovate or triangular scales, a little united at base, rather unequal, one or two occasionally lanceolate or subulate and longer, but awnless. 82 PROCEEDINGS OF THE AMERICAN ACADEMY views which we here take may be best exhibited in a conspectus of the American species.* * SPECULARUL Americans. § 1. CAMPYLOCERA. Flores dimorphi, prajcociores cleistogami. Capsula elongata, valvulis infra-apicalibiis dehiscens, sero saltern in prfficocioribus ab apice longitudinaliter subdissiliens. Ovarium in floribus cleistogamis quandoque abortu uniloculare, placenta laterali. — Campylocera Nutt. in Trans. Amer. Pliil. Soc. n. ser. 8, p. 257 (1843). ^ 1. S. LEPTOCABPA. Caule virgato ; foliis lanceolatis ; floribus in axillis arete sessilibus ; stigmatibus 2-3 ; ovario in fl. cleistogamis nonnullis abortu unilocu- lari calycis lobis S-4 superato ; capsulis fere cylindricis gracilibus valvulis sub- apicalibus adscendentibus 1-3 pertusis, praecocioribus sa?pius decurvatis raro tortis ; seminibus oblongis. — Campanula leptocarpa Engelra. in berbariis. Cam- pylocera leptocarpa & var. glabella "Nutt. 1. c. Specularia Linsecomia Buckley iu Proc. Acad. Pliilad. 1861, p. 460. — Arkansas, Nuttall, Engelmann ; Texas, Wright, Buckley ; Colorado to tlie Rocky Mountains, Parry, Vasey. As to the twisting of the .capsule on its axis, in the manner of Downingia, mentioned by Nuttall, it is hardly if at all to be seen in our specimens. *' 2. S. LiNDHEiMERi Vatke in Linnsea, 38, p. 713. Procerior ; caule erecto vel reclinato (1-3-pedali) superne nunc paniculato ; foliis oblongo-lanceolatls imisve ovalibu^s ; floribus brevi-pedunculatis vel subsessilibus niagis panlculatis ; stig- matibus loculisque ovarii semper 3-4; calycis lobis etiara in cleistoganrs 5 ; capsulis angulatis basi angustatis baud curvatis tortisve valvulis 2-3 pauUo infra apicem pertusis ; seminibus fere orbiculatis. — W. Texas, Lindheimer, Wright, Buckley. I take this to be the "Campanula Coloradoense " Buckley, 1. c, from his character of "stigmas 4-6" (I have seen only 4), and tlierefore have adopted the specific name. The seeds are described as " ellipsoid," of the preceding species " elliptical." The expanded corollas are an inch in diameter, about twice the size of those of S. leptocarpa. The capsules appar- ently are never one-celled, although the partitions separate readily from the axis, one carrying away the placenta, and there is a tendency to be septicidal. The perforations, moreover, are by valves that open from above downward, or by mere ruptures. In many of the cleistogamous flowers, the corolla has attained considerable development, so as to suggest a gradation between the two kinds. § 2. DYSMICODON Endl. Flores dimorphi, praecociores cleistogami calyce 3-4-lobo, normales serotini, calyce 5-lobo. Capsula brevior, aut sub apice aut infra medium pertusa. Semina lenticularia. — Dijsmkodon Nutt. 1. c. TrioJallus Raf., ubi ? Specularia § Trioclallus Torr. El. N. Y. '^ 3. S. BiFLORA. Caule gracill ad angulos retrorsum serrulato-hlrtello vel sublEevi ; foliis ovatis oblongisve rariter crenulatis, superioribus lanceolatis flore fulcrato brevioribus ; floribus in axillis solitariis binisve sessilibus ; calycis lobis in cleistogamis brevibus ovatis vel subulatis, in normalibus lanceolato- subulatis elongatis corollam vix ada^quantibus ; capsulis cylindraceis subfusi- formibus vix costatis, valvulis infra-apiealibus. — Campanula bijlora, Ruiz & Pav. OF ARTS AND SCIENCES. . 83 Arctostaphtlos Andersonii. a. tomentosce affiuis ; ramia gracilioribus setis longis albis hispidis ; foliis teuuiter coriaceis fere sessilibus glabris (costa subtus setosa excepta) viridibus oblongo- lanceolatis basi sagittato-cordatis saspe spinuloso-serrulatis ; drupis viscosissimo-hirtis. — Hills behind Santa Ci'uz, California, Dr. C. L. Anderson, 1673. HESPERELiEA, Nov. Gen. Oleacearum. Calyx tetrasepalus, fEstivatione imbricativus, deciduus. Petala 4, spathulata, unguiculata, fEstivatione apicem versus imbricata, accrescen- tia, deridua. Stamina 4, hypogyna, petalis alterna: filamenta subu- lata : antherse oblongae, subintrorsai, mucronatie. Ovarium ovoideum : ovulis in loculis binis ab apice pendulis : stylus columnaris : stigma crassum, bilobum, lobis dorso parum sulcatis. Fructus sine dubio dru- paceus. — Arbor 3-4-orgyalis, glabra ; foliis plerumque oppositis integerrimis oblongis coriaceis e costa valida penniveniis ; paniculae floribundie ramis pedicellisque brevibus articulatis ; floribus sulplfureis hermapliroditis nunc ovario imperfecto polygamis. Hespeuel^a Palmeri. Guadalupe Island, off Lower California ; found only in a canon on the eastern side. Leaves 2 inches or more in length. Sepals oblt)ng, somewhat scale-like and concave, greenish becoming yellowish. Petals when full grown nearly half an inch long, pale lemon-colored; the claw about the length of the sepals and the filaments. A very marked new genus, of the Oleineous tribe, remark- able for the wholly distinct and unguiculate petals, with imbricative aestivation, and the apparently uniformly isomerous stamens. Fl. Per. 2, p. 55, t. 200, fig. 6. C Montevidensis Spreng. Syst. ? ex char C. Ludoviciana Torr. (ined. ?). C. intermedia Engelm. in herbariis & ex Nutt. I. c. Dysmicodon Ca/ifornicum & ovatum, Nutt. 1. c. Specularia ocata Torr., Vatke, 1. c. — S. Carolina to Ai'kansas, Texas, and in California ; also in S. America. Singularly confounded with the next. It much more resembles S. falcata of the Old World, ■which, however, has longer calyx-lobes, and, so far as I have seen, homomorphous flowers. y 4. S. PERFOLiATA A. DC. Prodf., excl. sjn. nonnul. ; Torr. Fl. N. Y. 1, p. 428, t. 65. Campanula flagelJaris HBK. Nov. Gen. 3, t. 265. Dysmicodon perfoliatum Nutt. 1. c. Subhispida; foliis rotundato-cordatis quasi aniplexicaul- ibus ; capsulis brevioribus basi angustioribus, valvulis infra medium sitis. — Canada to Texas, Oregon, Mexico, &c. Triodallus rupestris Raf., according to specimens in herbaria, is a depauperate and diffuse state, in wliich only the close-fertilized blossoms are developed. ^ ■ • /■ 84 PROCEEDINGS OF THE AMERICAN ACADEMY ■^ Gentfana Newberryi. Pneumonanthe, nana ; foliis radicalibus rosulatis obovatis vel spathulatis ; caulibus floridis 2-4 circa innovatio- nem centralem folia parvula spathulata vel sublanceolata basi connato- vaginantia (summa florem unicnm stipantia) gerentibus ; calycis lobis lanceolatis oblongisve tubo subtequilongis ; corolla ca?rulescente late iiifundibuliformi, appendicibus plicarum bifidis vel subulato-laciniatis lobis ovatis raucronatis brevioribus ; seminibus ovalibus ala lata cinctis. — G. calycosa'^ Gray in Pacif. R. Rep. 6, p. 8G,'non Griseb. — Ore- gon and California, in the Sierra Nevada, from Crater Pass (New- berry) to Mariposa County, Bolander. Related to G. frigida. Corolla over an inch long, pale blue, white within, and greenish- dotted. Flowering stems an inch or two in length. Gentiana setigera. Pneumonanthe; caulibus sat validis (pe- dalibus) adscendentibus e caudice crasso foliosis; foliis inferioribus orl^culato-ovalibus, superioribus obtusissimis, summis 4 florem involu- crantibus, omnibus basi conn ato- vagi n an te ; calycis lobis ovalibus tubo sequilongis ; corolla oblongo-campanulata, appendicibus plicarum brevi- bus parvulis setas capillares 2-3 lobis ovatis fere adisquantes gerentibus. — Red Mountain, Mendocino County, California, Bolander, No. 840 of Kellogg and Harford's distribution. Leaves 7 to 10 pairs on the stem, thick, an inch or less iti length. Corolla an inch and a half long, and the blue lobes nearly half an inch long. Forming seeds orbicular and winged. Halenia Rothrockit. Annua, ultras^sithamaea, laxiflora ; foliis linearibus ; corolla lutea, calcaribus subulatis divaricatis parum adscen- dentibus calycis lobos lineares subaaquantibus. — Arizona, on Mount Graham, at 9000 feet, Dr. J. T. Rothrock, in Wheeler's Expedition, 1874. MiCROCALA QUADRANGULARis Griseb. Whether this South American species is indigenous to California would appear uncertain as to the vicinity of San Francisco. But Dr. Bolander found it " near Mendocino, under Pinus contorta" where it seems milikely to have been brought by the agency of men or cattle. Dr. Engel- mann indicated to me that the stamens are inserted in the very sinuses, not below on the tube as figured by Progel in the Flora Bra- siliensis. Then the stigma, as Dr. Engelmann has also shown in both species of the genus, is separable or in age actually divides into two. '^ GiLTA Larsent. Eugilia, depressa, surculis filiformibus repenti- bus apice foliatis perennans, pubescens ; foliis omnibus alteVnis con- fertis pedatim 5-7-partitis summisve trifidis, lobis lineari-oblougis OP ARTS AND SCIENCES. 85 majoribus subcuneatis 2-3-fidis ; floribus inter folia subsessilibus ; corolla infundibuliformi violacea (semipollicari) calyce 2-3-plo lon- giore, lobis late ovalibus ; ovulis solitariis. — California, on Lassen's Peak, J. G. Lemmon and John Larsen, 1875. Habit of the Nava- retia section ; but the lobes of the leaves and of the calyx are not even mucronate, and the flowers are sparse. GiLiA (Ipomopsis) Haydeni. Fere glabra, e basi indurata peren- ui vel bienni pauiculato-ramosissima, pedalis ; foliis linearibus, imis vix spathulatis parce pinnatilobatis dentatisve, ramealibus plerisque minimis subulatis integerrimis ; pauiculis subthyrsoideis floribinidis calycibus- que parum glandulosis ; corolla cieruleo-purpurea gracili iufundibulari- tubulosa (ultra-semipollicari), tiibo lobis suis ovatis calyceque o-4-plo longiore ; antheris oblongo-sagittatis subsessilibus fauci iusertis ; ovarii loculis 8-9-ovulatis ; seminibus paucis oblongis, tegumento humectato nee spirillifero nee mucilaginoso ! — Mesa San Juan, southern borders of Colorado or adjacent part of Utah, T. S. Brandegee, in liayden's Exploration of 1875. Dedicated to the indefatigable explorer and geo- logical surveyor, in charge of this and many other successful explora- tions of our Rocky Mountain regions. The species has the habit and color of corolla of the Eugilla division, but the long narrow corolla and bractless pedicels of Ipomopsis. Gilia BRANDEGEr. EuGiLiA, pcrennis, pube glandulosa fragrante viscosissima ; caulibus erectis spithamajis vel subpedalibus thyr- sifloris ; foliis circumscriptione linearibus pinnatisectis, segmentis plurimis sessilibus parvis aut oblongo-linearibus rarius ovalibus inte- gerrimis aut bipartitis verticillos 3-4-foliolatos simulantibus ; corolla aurea infundibulifornii-tubulosa calyce cylindraceo semi(juinquefido 2_3-plo longiore, fauce parum ampliata, lobis ovalibus brevibus ; ovulis in loculis paucis. — South-western part of Colorado, in San Juan Gap on the face of perpendicular cliffs, T. S. Brandegee, in liayden's Exploration, 1875. A showy as well as most remarkable species, with trumpet-shaped golden-yellow corolla, about an inch long. Leaves 2 or 3 inches, and their divisions only one or two lines, in length. The likeness of this plant in foliage, flowers, and fragrant viscosity to Pohmonium confertum var. melUtum is most striking. That species is itself sufficiently anomalous in Polemonium, on account of its length- ened corolla ; but its filaments are really declinate-curved, while they appear to be not at all so in the present plant. If this character be relinquished, nothing will be left absolutely to distinguish either Polemonium or Lceselia. 8b PROCEEDINGS OP THE AMERICAN ACADEMY LCESELTA Linn. § Giliopsts. Flores paniculati vel sparsi, ebrac- teati. Corollas lobi subcuneati, apice eroso-truncati vel subtridentati. Folia augustissima nuda. (Ovula in loculis 8-10. Semina ut in spec, propriis exalata!) L86 of Coulter's Californian eollec tion, of which my specimen wants the flowers, and which is glabrous and has cordate leaves, may be a form of this. SoLANUM UMBELLiFKRUM Esch. This Variable species abounds around San Francisco and in all that part of California. Eschscholtz described a form with ovate acute leaves, but they are more commonly obtuse, and the smaller ones inclined to obovate. S. Californicuni of Duual is this ordinary form, and S. genistoides a depauperate and small-leaved summer state of the same. The species is well marked by the somewhat furfuraceous or tomentose pubescence, which, under a lens, is seen to be composed of repeatedly branching hairs. COLLINSIA Nutt. This genus is exceedingly well marked, but the species are difficult of discrimination. Eleven species may be distinguished, of which nine are in the Californian flora, and two iu the Mississippi region and eastward.* * COLLINSIA Nutt. § 1. Con/ergypt, and the Canary Islands, found also in South- ern California, and common eastward through the valleys of the Lower Colorado and of the Gila to the Rio Grande, and in Northern Mexico. It is difficult to account for the wide spread of this plant, if of recent introduction, through a region so desert and sparsely inhabited. Besides these twelve species placed in the first group, there are two others, also found in California, which are considered identical with South American forms (Specularia bijlora and Amblyopappus pusillus), possibly introduced from Chili or Peru, perhaps indigenous to both regions. Their presence on Guadalupe would perhaps rather favor the belief that they are native to our western coast, especially as five other South American species, or forms of them, occur in the Guada- lupe flora (^Tillcea minima., Gilia pusilla, Plantago Patagonica, Parie- taria debilis, and JJuhlenbergia debilis), whicii are more or less frequent in California and eastward in the centre of the continent, and are gen- erally admitted to be native. There are, therefore, 97 pha3nogamous plants which may be considered as indigenous. Of these, niue have a very extended range upon the mainland ; * one (Parietaria debilis) from Southern California across the continent ; all the rest common throughout California, and ranging eastward to the Atlantic States. Two of these (^Galium Aparine and Juncus biifonius) are also liuropean, and two (Plantago Patagonica and Parietaria debilis) are found widely distributed through South America. Far the largest group, as already stated, includes those species, 49 in number, which are common over a large part of the State of Cali- fornia. Many of these extend northward as far as Oregon or Wash- ington Territorv, or eastward through the Great Basin to the Rocky '»••"" ^v,..»^v^._, , ^^ V^.^.^,.,,,..V» „..»„„jj. * Sisymbrium canescens ; Sile.ne antirrhina ; Daucus pusillus; Galium Apariiic; Dodecatheon Meadia ; Linaria Canadensis ; Plantago Patagonica ; Parietaria debilis; Juncus bufonius. 110 PROCEEDINGS OF THE AMERICAN ACADEMY Mountains. To these are to be added the eighteen species * of more limited range upon the mainland, confined to Southern California or Western Arizona ; very few of them, so far as their distribution is known, belonging to Lower California or Mexico, and several of rare occurrence. Among the latter is Crossosoma Califoraicum, known previously only from the Island of Santa Catalina, in the Santa Bar- bara Archiiielago, of which genus the one other species is found in the mountains of Western Arizona. Leptosyne gigantea and Stenochloe Californica were also* known only from the same island, the latter the only species of the genus ; the former belonging to a small genus con- fined to Southern California and the region eastward to New Mexico. It is evident, therefore, that, as regards the species common to the island and the mainland, the flora may be said to be exclusively Cali- fornian in its character. Not a single species is found that is peculiar to Lower California or Mexico. The same alliance is nearly as prom- inent if we look at the twenty-one new phaenogamous species of the island. Fifteen of these (a Thysanocarpus, a Spliceralcea^ a Lupiniis, a Trifolium, an (Enothera, a Megarrliiza. a Galium, a Hemizonia, a Perityle, a BcBvia, a 3Iimulus, a Pogogyne, a Culamintha, a Phacelia, and an Atriplex) all belong to genera largely or exclusively repre- sented in California and the region east of it, and are mostly closely allied to the species of that region. The remaining six species include a Lavatera, a Composite, a Borraginaceous plant, a species allied to the Olive, and finally a palm. The Lavatera is intei-esting as represent- ing a widely scattered genus, not otherwise found in America, except as a second species occurs on the more northern island of Anacapa. The genus belongs chiefly to the region of the Mediterranean, where fourteen species are native ; two others are confined to the Canary Islands ; another has been discovered in Central Asia, and still another in Australia. The new Composite is referred by Dr. Gray to a South American genus {Diplostephiuni), not otherwise represented in our flora, but of which there are eighteen species in the Andes from the equator soutlivt^ard. Of the Borraginaceous and Oleineous species, Dr. Gray forms new genera; the one {Harpagonella) allied to the small genus Pectocarya, of which there is one Chilian species, and * Crossosoma Californicum ; Lepidium Menziesii and lasiocarpum ; Rhus laurina ; Hosackia argophylla ; Leptosi/ne fjigantea ; Filugo Arizonica ; Perityle Emori/i ; Am- b/yopappus pusillus ; Malacothrix Clevelnndii ; Antirrhlmim Nuttcdliannm and A. speciosnm : Lycium Cnlifornicum ; Eritrichium angustifolium ; Pinus insiynis ; Cu' pressus macrocarpa ; Muhlenbergia debdis; Stenochloe Californica. OF AETS AND SCIENCES. Ill two Californiau, one of these also in the Guadalupe flora ; the other (ffesperelaa) bearing no close resemblance to any other member of the Olive family. On the other hand, the palm (^Braltea (?) edulis), conspicuous on the island as the only representative of a tropical flora, is probably less nearly related to the Central Mexican genus to which it is provisionally referred than to the genus Livistona of Australia. A congener of the Guadalupe species has recently been detected by Dr. Palmer in the canons of the Tantillas Mountains, near San Diego. As respects the cryptogamic vegetation, of the half a dozen ferns all are frequent in California, one peculiar to the southern part of the State, another found throughout North America and Europe. Of the eleven mosses, two are strictly Californiau species, seven are common everywhere in the United States and Europe, and two are European species which had not previously been detected in America. Of the four HepaticcB, three are Califoruian, and one is considered new. Looking now at the relative proportions which the larger orders bear to each other in this limited flora as compared with the flora of the Great Basin (the only at all similar one of which we have the data for comparison), we find that the jjrojaortions which the CompositcB and LegumiiKtsce bear to the whole (17 and 7 per cent.) are identical in both ; while in the next largest orders, the Cruciferce, Scrophulariacece, and Graminece, the proportions in the two floras are very nearly the Barae. The most conspicuous discrepancies are the almost entire absence in Guadalupe of Cyperacecs, PoJygonacece, Rosacece, and Lilia- cecs, and a less decided preponderance of Solanacece, Borraginacece, and Hydrophyllacece. These differences are largely due evidently to the character of the surface of the island, though the want of any repre- sentatives of the large characteristic western genera, Eriogonum and Astragalus, is remarkable. Reference should be made to the plants which by their abundance and prominence give character to the vegetation. Among these the " sage-brush " and " grease-woods " of the valleys of the Basin are duly represented by an Ay-temisia and an Atriplex, which share with a Fvanseria in covering large tracts, and in protecting the soil and the smaller annuals from the winds and sun. Trees are numerous over much of the island, chiefly coniferous : a pine, belonging to a Southern Californian species, but peculiar in some of its characters ; a juniper, common in California ; a cypress, similar to and perhaps identical with a Mexican species which extends into California ; and a small oak, which is common throughout the State. To these is to be added 112 PROCEEDINGS OF THE AMERICAN ACADEMY the palm, which is frequent in the southern canons, growing to a height of forty feet, and bearing large clusters of edible fruit. To conclude, it is apparent, from all that has been said, that this little flora as a whole is to be considered a part of that of California, as dis- tinct from the flora of Mexico. It may be inferred also that it has not been to any great extent derived from California by any existing process of conveyance and selection, but that it is rather indigenous to its present locality. Moreover, while it would indicate a connection at some period between the island and the mainland to the north, yet the number and character of the peculiar species favor the opinion that they are rather a remnant of a flora similar to that of California, which once extended in this direction considerably to the southward of what is now the limit of that flora upon the mainland. And, finally, the presence of so many South American types suggests the conjecture that this, and the similar element which characterizes the flora of California, may be due to some other connection between these distant regions than any which now exists, and even that all the peculiarities of the western floras of both continents had a common origin in an ancient flora which prevailed over a wide, now submerged area, and of whose character they are the partial exponents. II. List of a Collection of Plmits from Guadalvpe Island, made hy Dr. Edward Palmer, with his Notes upon them.* 1. Eaxuxculus hebecarpus, Hook. & Arn. Abundant on warm slopes in the middle of the island. 2. Crossosoma Califorxicum, Nutt, A shrub two or three feet high, in the crevices of cliffs overhanging the canons in the middle of the island. Only nine were found, out of reach of the goats, and accessible only by the aid of a rope. In flower, February 10; petals soon falling ; seed ripe, Ajjril 20. 3. EscHSCHOLTZiA Califorxica, Cham., var. hypecoides. Gray. Only at the south end in ravines, and in the middle of the island on level ground ; apparently not eaten by goats. A form with smaller flowers has been found on rocky heights in the middle of the island. * The determinations of the Gamopetala of the collection were made entirely by Dr. Asa Gray. The Mitsci were referred to Mr. Thomas P. James, and the Ilppatkw to Mr. Austin. Acknowledgment is made, in connection with a few species, of assistance received from other authorities. The numbers are those under which the collection was distributed. OF ARTS AND SCIENCES. 113 4. SiSTiviBRiUM REFLEXUJi, Nutt. (S. dejlexum, Harv.) Abun- dant in the middle and at the south end, in low grounds ; flowers white. 5. Brassica nigra, Koch. In considerable quantity in the middle of the island, in open spots and on the best soil ; eaten by goats. 6. Sisymbriuji canescens, Nutt. In great abundance in warm sheltered localities. 7. Lepidium Menziesii, DC. Generally abundant on warm hill- sides throughout the island ; not much eaten by goats, as also the next. 8. Lepidium lasiocarpum, Nutt. In ravines in the middle of the island, rarely at the south end. 9. Thysanocarpus erectus, Watson ; new species. (See page 124.) Found only between Jack's Bay on the west side and Mount Augusta, in clear level spots ; succulent. 10. Oligomeris subulata, Boiss. In dee}^ warm canons and ravines in the middle of the island, and occasionally at the south end. 11. SiLENE Gallica, Linn. Occurring sparingly in the middle of the island, in level open spots. 12. SiLENK antirrhixa, Linn. Only in a canon on the east side, near the beach. 13. Stellaria nitens, Nutt. Among rocks on hillsides, in the middle and at the north end. 14. Calandrinia Menziesii, Hook. In moist spots in the open valleys all over the island, growing in masses ; flowers white to rose- color or purple, opening at midday. Goats are very fond of this and the next. 15. Clattonia perfoliata, Donn. All over the island, in masses on the shaded side of rocks or logs, or in deep ravines ; flowers pink. 16. Malva BOREALis, "Wallm. Only on the richer open spots in the middle of the island, in dense masses ; goats at fii-st eat only the young leaves, but in summer devour the whole. 17. Lavatera occidentalis, Watson ; new species. (See page 125.) A conspicuous plant on the cliffs in the middle of the island, only rarely, and with difficulty, accessible. In flower and immature fruit ; April. 18. Sph^ralcea sulphurea, Watson ; new species. (See p:ige 125.) In large bunches, three feet high, very abundant on rocky slopes and in the crevices of the highest rocky ridges, from the middle of the island to the southern end, where it was most frequent ; much relished by goats ; April to May. 19. Erodium cicutarium, L'Her. Abundant all over the island, VOL. XI. (n. 8. III.) g 114 PROCEEDINGS OP THE AMERICAN ACADEMY and the principal food for the goats, covering the rocks ; usually three or four iuches high hy August, and producing abundance of seed. 20. Erodium moschatdm, L'Her. Middle of the island, less com- mon than the last, and starting later in the spring. In low places, the root long, large, and fleshy ; leaves light green, fleshy. 21. Rhamnus crocea, Nutt. A scraggy shrub, five feet high, of a dense green hue. Only six were found, growing in the crevices of high cliffs in the middle of the island ; in bloom, April G. 22. Ceanothus crassifolius, Torr. Of rather loose habit, eight feet high ; wood very hard. Only three were found alive, at the base of Mount Augusta. — . Ceanotiius cuneatus, Nutt. A small shrub almost extermi- nated, three nearly dead specimens alone being seen among rocks in the middle of the island ; not in bloom. — . Rhus laurina, Kutt. An irregularly growing shrub, about four feet high, in the crevices of high rocks ; only four found ; May 20, not in bloom. — . ViciA ExiGUA,Nutt. Among rocks in the centre of the island, a single specimen seen ; very small. 23. HosACKiA GRANDiFLORA, Benth. Among trees in the middle of the island ; flowers yellow, changing the second day to bronze-red. 24. HosACKiA ARGOPHYLLA, Gray. In the crevice of a rock; flowers yellow, changing to reddish brown. 25. LuPiNUS NiVEUS, Watson; new species. (See page 126.) Only in the middle of the island, on high cliffs ; one plant in bloom, March 25. 26. Trifolium Palmert, "Watson; new species. (See page 132.) Rather abundant in the middle of the island among rocks and trees on hillsides ; flowers whitish with red centre, becoming redder on the edges. 27. Trifolium jiicrocefhaluji, Pursh. Very abundant at the middle and north end of the island ; flowers white or light pink. 28. Trifolium amplectens, Torr. & Gray. Only on the beach on the east side of the island, rare ; flowers yellowish white with dark tips. 29. Alchemilla occidentalis, Nutt. Amonjx rocks and saire- brush at the north end, and also around a spring, where it was mucli larger. — . Heuchera ? A single plant in the crevice of a rock, not in bloom. — . RiBES SANGUiNEUM, Pursh. Only two plants in the damp shade of cliffs at the north end ; flowers rose-color, becoming white. OF ARTS AND SCIENCES. 115 30. TiLLJEA MINIMA, Miers, & var. ( T. leptopetala, Benth.). In large patches in a few exposed clear spots in the middle and at the north end. 31. Epilobium minutum, Lindl., fide W. Barbey. Only at the north end, among rocks and sage-brush ; flowers purplish white. — . CEnothera Guadalupensis, Watson ; new species. (See page 137.) Only two plants were found in a ravine on the east side, near the beach. 32. Mentzelia dispersa, Watson, In ravines in the middle and at the south end ; flowers orange, opening after sundown. Goats are not fond of it. 33. Megarrhiza Guadalupensis, "Watson ; new species. (See page 138.) In crevices of high rocks in the middle of the island; flowers white ; fruit green. — . Sanicula Menziesii, Hook. & Arn. ? Two plants only, without flowers or fruit, in crevices of rocks in the middle of the island. 34. Daucus pusillus, Michx. Abundant through the middle of the island, among sage-brush on the sides of cafions and in open level places ; not much relished by goats. 35. Galium Aparine, Linn. Common on warm shady hillsides in the middle and more rarely at the south end. 36. Galium angulosum. Gray, Proc. Am. Acad. xi. 74 ; new species. A single small scrubby plant, in a crevice of a high clifF in the middle of the island ; flowers greenish white ; May 1. 37. MiCROPUS Californicus, Fisch. & Mey. On dry gravelly slopes in the middle of the island. 38. FiLAGO Arizonica, Gray. On level ground at south end. 39. DiPLOSTEPHiUM CANUM, Gray, Proc. Am. Acad. xi. 75 ; new species. A large shrub of rather loose habit, some four feet high, in the crevices of high cliffs; flowers yellow ; March 28. 40. Franseria bipinnatifida, Nutt. ? One of the most con- spicuous plants at the south end, especially about Jack's Bay, growing in thick roundish clumps about a foot and a half high, on level spots and among rocks, giving the country a greenish white appearance. Flower-buds red ; bloom straw-color, flowering at the end of Februaiy. Not relished by goats, but asses are very fond of it. 41. Leptosyne gigantea, Kellogg. Only two plants found, in the crevices of high rocks. Five feet high, branching near the top, and the branches terminated with bright green leaves and masses of showy yellow bloom ; May 10. 42. Hemizonia frutescens, Gray, Proc. Am. Acad. xi. 79 ; new 116 PROCEEDINGS OF THE AMERICAN ACADEMY species. In the middle of the island, only a few small plants among bushes in the crevices of high rocks. It grows in compact bunches with abundant yellow bloom ; May 1. 43. Perittle incana, Gray, 1. c. 78; new species. Very common in the middle of the island, iu the crevices of hi^h rocks, han^in"; in massive bunches of yellow bloom ; April, and through the summer. 44. Perittle Emoryi, Torr. Scattered through some of the canons on the east side ; flowers white, showy, blooming abundantly for three months, commencing in February. Much eaten by goats. 4o. B^RiA Palmeri, Gray, Fl. Calif, ined. ; new species. Abun- dant in warm low spots in the middle and at the south end ; flowers showy, gamboge-yellow ; February 27. — . Bauia lanata, Xutt., var. A single plant had escaj^ed the goats, on a rocky open spot in the middle of the island ; flowers light orange ; May 10. 46. Amblyopappus pusillds, Hook. & Arn. In low ground at the southern end. 47. Matricaria discoidea, DC. Around springs in the middle of the island. 48. Artemisia Californica, Less. In considerable abundance at the south end, in rocky spots, giving cliaracter to the vegetation ; about a foot and a half high, of rather loose habit. Also in the mid- dle of the island in crevices of the highest cliffs. 49. Senecio Palmeri, Gray, Proc. Am. Acad. xi. 80 ; a new species. " "White sage ; " very abundant on many warm slopes, from the middle to the north end. About three feet high, of diffuse habit, a very free and showy bloomer ; beginning to flower early in Febru- ary and maturing in May, when the air is filled with its downy seeds. — . Gnapiialidm Sprengelii, Hook. & Arn. With the next. 50. Microseris linearifolia, Gray. Only in the middle of the island, on stony ridges ; eaten close by goats. 51. Malacothrix Clkvelaxdii, Grav. Abundant among rocks and trees in the middle of the island ; flowers deep yellow. 52. SoNCHUS oleraceus, Linn. Very rare, on warm slopes in the middle of the island. — . Specularia biflora. Gray. Rare, in the shade of rocks and sage-brush on hillsides in the middle of the island. 53. GiTHOPSis specdlariotdes, Nutt. Abundant at the middle and north end, under sage-brush and dead branches ; flowers white, turning to blue after gathering. 54. Plantago Patagonica, Jacq. In level spots at the south end. OF ARTS AND SCIENCES. 117 — . Anagallis arvensis, Linn. Only three plants found in a gravelly' place near the beach on the east side. 55. Dodecatheon Meadia, Linn. Very abundant on moist rocky slopes at the south end and middle. Goats are very fond of it, and birds eat the buds and flowers. — . Lin ARIA Canadensis, Spreng. Rare on the sides of canons in the middle of the island. 56. Antirrhinum Nuttallianum, Benth. Rather rare, in deep warm canons in the middle of the island ; succulent, with small violet flowers, white in the centre and dotted with violet ; March 21. 57. Antirrhinuji speciosum, Gray. Frequent in the crevices of high rocks in the middle of the island. Very ornamental, the bright scarlet flowers continuing all summer. 58. MniULUS latifolius, Gray, Proc. Am. Acad. xi. 95 ; new species. Only in the middle, scattered in warm rather moist spots ; flowers velvety red, yellow at base, with a musky odor. 59. Castilleia foliolosa. Hook. & Arn. Only in the middle of the island, rare, among fallen branches. 60. SoLANUM NIGRUM, Liun., var. Rare in the middle of the island and in a cailon near the beach on the east side, in rich level spots ; flowers white or purple ; fruit black. 61. SoLANUM nigrum, Linn., var. Douglasii, Gray. Only two plants in a canon near the beach on the east side ; flowers white, small. 62. SoLANUM Xanti, Gray,l.c. 70. Only in the middle of the island. A very showy shrubby plant, in large bunches, about two feet high, in the crevices of rocks, blooming all the year. Flowers numerous, lilac or purple ; fruit small, changing from green to yellow, mottled, and at length very dafk plum-color, maturing very slowly. 63. Lycicm Californicum, Nutt. ; Gray in Fl. Calif, ined. At the extreme south end, on rocky bluffs, not abundant. A loose shrub, about two feet high ; flowers creamy white, tinged with lilac. 64. NicoTiANA BiGELOVii, Watson. Only in a few places in the centre of the island, in open spots and good soil; flowers greenish yellow, bronzy below. The leaves stick to the goats' hair and do much damage. 65. PoGOGTNE TENUiFLORA, Gray, Proc. Am. Acad. xi. 100; new species. Very rare, among sage-brush, on the eastern side. 66. Calamintiia Palmkri, Gray, 1. c. ; new species. Abundant among trees and sage-brush in the middle of the island ; strong-scented and not eaten by goats. 118 PROCEEDINGS OF THE AMERICAN ACADEMY 07. Eritrichium angustifolium, Torr. On level spots at the south end, anl also near the beach on the eastern side. G8. Eritrichium muriculatum, Torr. In warm clear places in the canons of the middle of the island. 69. Amsinckia vernicosa, Hook. & Arn. Very abundant on level ground at the south end ; flowers orange. G9 a. Pectocarya penicillata, DC. With the next. 70. Harpagonella Palmeri, Gray, Proc. Am. Acad. xi. 88 ; new genus. Only at the south end, in low valleys ; often prostrate. 71. Phacelia phyllomanica, Gray, 1. c. 87; new species. In large compact masses in the crevices of high rocks in the middle of .the island ; rare. 72. Same, var. interrupta. Gray, 1. c. Frequent in warm nooks in rocky ravines in the middle and at south end ; February to May. 73. Emmenanthe penduliflora, Benth. Kocky ravines in the middle of the island ; refused by goats, but asses are fond of it. 74. Elltsia chrysanthemifolia, Benth. Abundant under sage- brush on warm hillsides from the middle to the north end, and also rarely at the south end ; flowers lilac. 75. Same, with narrower calyx-lobes and larger corolla. 76. Nemophila aurita, Lindl. On warm slopes in the middle of the island, rarely at the south end; much relished by goats, like the last. 77. Coi.LOMiA gilioides, Benth., var. glutinosa, Gray. Abun- dant under bra?h and in protected places in the middle of the island. 78. GiLiA MtJLTiCAULis, Benth., var. millefolia, Gray. Very abundant in similar localities ; flowers blue and showy, or cream-col- ored with a violet base. 79. GiLiA PUSiLLA, Benth., var. Californica, Gray. Abundant in similar locaUties. 80. Convolvulus occidentalis, Gray, Proc. Am. Acad. xi. 89. In the crevices of high rocks, hanging down six feet or more ; continuing in bloom from March through the summer. A thousand flowers were seen on a single plant. 81. Hesperel^a Palmeri, Gray, Proc. Am. Acad. xi. 83; new genus. A rather compact tree, twenty to twenty-five feet higli ; flowers lemon-color. Only three live trees were found, in a caiion on the east side ; no young trees seen, but many dead ones. 82. MiRABiLiS Californica, Gray. Of compact branching habit, growing in crevices in the walls of canons on the east side ; color lilac-pur[)le. OF ARTS AND SCIENCES. 119 — . Chenopodium album, Linn, Only one plant near the sea on the east side. 83. Atriplex Palmeri, Watson ; new species. (See page 146.) Only at the south end, in roundish bunches, about a foot and a half high. One of the three characteristic perennials of the island, much more frequent than Artemisia Cali/ornica, but scarcely half so abun- dant as Franseria hipinnatifidn. In flower at the end of February, 84. Pterostegia drymarioides, Fisch. & Mey, In the shade of rocks in the middle and more rarely at the south end, 85. Phoradendron Bolleanuji, Seem. Near the south end, on Juniper us and Oupressus, more frequently the former, 86. Hesperocnide tenella, Torr. In damp shady places, among high rocks, in the middle of the island. 87. Parietaria debilis, Forst. Abundant in similar localities, 88 and 89. Quercus chrysolepis, Liebm. ; fide Dr. Engelmann. Frequent at the north end, and occasionally found in the carions on both sides of the island. Often large, sometimes forty feet high, and wide-spreading; timber good and durable, though knotty. 90. PiNUS JNSiGNis, Dough, var. ; fide Dr. Engelmann ; with leaves in twos. At the north end, at high elevations. Very vigorous and handsome trees, usually spreading widely, the largest seven and a half feet in circumference and averaging seventy feet high. The wood is very knotty and soon decays. At the extreme northern end, facing Espaza Bay, the trees assume a hedge-like form, owing to the force of the winds. 91. JuNiPERUS Californica, Carr., fide Dr, Engelmann, All over the middle of the island and occasionally at the south end, in the ravines and low valleys, forming groves about fifteen feet high. It is exceedingly crooked, the timber small but very durable. As soon as dead the ants take possession of it. 92. CuPRESSUS macrocakpa, Hartvv. ? A fine widely spreading tree, though varying much iu habit, growing in irregular clusters in the middle of the island. It averages about forty feet in height. A tree thirty-eight feet high and seven in circumference numbered 236 annual rings. The largest is at the head of Landrum's Cafion, twenty-five feet in circumference, dividing into seven branches at the height of two or three feet, the main limb at ten feet above the forks being thirteen feet around. The bark is claret-brown, shining when wet, at length crack- ing irregularly and curling up in thin plates. An abundance of resin is exuded, especially as the bark is eaten off by the goats. The wood 120 PROCEEDINGS OP THE AMERICAN ACADEMY is white, very knotty and liable to crack, when dry impervious to nails, and decaying rapidly if exposed to wet. Fruit is abundant. — . Brahea edulis, Wendland ; new species. (See page 146.) Frequent in deep warm ravines, from the northern end to Jack's Bay ; the only thing on the island having a tropical look. It attains a height of about forty feet, averaging fifteen inches in diameter. Each ti'ee bears one to four clusters of fruit, four feet in length, and each weigh- ing forty or fifty pounds. The fruit is eaten by man, goats, birds, and mice. In flower near the end of March. 93. JuNCUS BUFONius, Linn. From the middle to the nortli end of the island, growing abundantly in very springy places and a sure indication of water ; not much eaten by goats. 94 and 94 a. Avena fatua, Linn., and var. Several small patches were found in open places and on the best soil. 95. MuiiLENBERGiA DEBiLis, Trin. Identical with Arizona speci- mens so referred. Growing in abundance on warm slopes in the middle of the island, more rare at the south end ; not much eaten by goats till dried in summer. 96. Stenochloe Californica, Nutt. in PL Gambel. 189, fide Professor Thurber. On warm rocky slopes in the middle of the island ; not very abundant ; very succulent, and the goats are very fond of it. Known previously only from Nuttall's specimens. 97. Festuca microstachy's, Nutt. In bunches on warm slopes and in open places in the middle of the island. 98. Melica imperfecta, Trin. In tufts in the crevices of high rocks in the middle of the island. 99. Bromus sterius, Linn. On warm hillsides, sometimes in large patches as if sown, at the south end and middle. 100. Pell^a ornithopus, Hook., fide Professor Eaton. Rare, in the crevices of the highest cliflTs. 101. Gymnogramme triangularis, Kaulf. In similar places in the middle and at the south end of the island. 102. AspiDiUM MUNiTUM, Kaulf. In large bunches ; only two seen at the northern end in a rooky place inaccessible to goats, and con- stantly damp from the prevalent fogs. 103. PoLYPODiUM Californicum, Kaulf., fide Professor Eaton. Abundant at the north end in the cracks of rocks, in damp localities, sometimes covering large surfaces. 104. PoLYPODiUM ScouLERi, Hook. Encircling the trunk of a single oak, in a thick mat of moss and constantly wet by the fogs, OP ARTS AND SCIENCES. 121 covering the tree with a network of its strong tough roots to the height of ten feet. 105. NoTHOL^NA Newberryi, Eaton. Throughout the island on rocks in dry exposed places. 106. Weissia viridula, Brid. 107. Ceratodon purpureus, Brid. 108. Barbula rigida, Schultz, var. pilifera. Not before col- lected in America. 109. Barbula atrovirens, Smith. Also new to America. 110. Barbula viNEALis, Brid. 111. Barbula ruralis, Hedw. 112. Orthotriciium Lyellii, Hook. 113. Grimmia pulvinata, Hook. & Tayl. 114. Grimmia trichophylla, Grev. 115. Hypnum myosuroides, Linn. . Alsia Californica, Sulliv. 116. Madotheca navicularis, Nees. 117. FossoMBRONiA LONGiSETA, Austin. 118. FiMBRiARiA Californica, Austin. 119. FiMBRiARiA Palmeri, Austin, Bulletin Torrey Botanical Club, 6. 47 ; new species. III. Descriptions of Neio Species of Plants, chiefly Calif ornian, with Revisions of certain Genera. y Anemone (Pulsatilla) occidentalis. Alpine, more or less villous, stout and often tall : leaves large, long-petioled, biternate and pinnate ; lateral primary divisions nearly sessile ; segments pinnatifid with narrow laciniately toothed lobes ; involucral leaves similar, nearly sessile upon the middle of the stem : flower solitary, white or purplish, an inch broad or more : sepals six or seven : receptacle conical, be- coming much elongated : tails of the linear-oblong akenes at length an inch and a half long, reflexed. — A. alpijia, Hook. Fl. Bor.-Am. ; Torr. & Gray, Flora ; &c., not Linn. Li the mountains, from British Columbia southward to Mt. Shasta and Lassen's Peak ; perhaps also the A. alpina of arctic collectors from Kotzebue Sound, &e., of which specimens are not at hand. It differs from A. alpina of Europe and the Caucasus in its more finely and narrowly dissected leaves, which have also the primary divisions much more shortly petiolulate, and in the lengthened receptacle (sometimes an inch and a half long), which in the other is small and hemispherical. 122 PROCEEDINGS OF THE AMERICAN ACADEMY ^ Crossosoma Bigelovii. a low shrub, more slender than C. Californicum, and all the parts much smaller : leaves glaucous, three to six lines long, oblong, somewhat fascicled : pedicels slender, terminat- ing very short branchlets : petals oblong, three lines long: stamens about fifteen: carpels 10-12-ovuled. — G. Californicvm, Torrey in Pacif. II. Rep. iv. 63, t. 1, excl. fig. 1, 2. Collected by Dr. Bigelow, on Lieut. Whipple's Expedition, in canons near the month of Bill Williams River, W. Arizona ; in fiower only. The petals are nar- rower and the stamens and ovules much less numerous than in the island species. Of the latter, fine fruiting specimens were for the first time obtained by Dr. Palmer on Guadalupe Island ; but the charac- ters of the embryo, which is found to be nearly as long as the thick fleshy albumen and strongly curved, with narrowly oblong cotyledons longer than the radicle, do not confirm the reference of the genus either to the Pceoniece or to the Dilleniacece. EsCHSCHOLTZiA MiNUTiFLORA. Slender, and about a foot high : flowers very small (three lines or less in diameter), orange; torus cylindrical, without border : capsule very narrow, an inch and a half long : seeds nearly smooth, scarcely half a line broad. — E. Calif or- nica^ var. tenuifoUa, Gray in Bot. Ives's Rep. 5, in part. E. CaJifor- nica, var. hypecoides, AVatson, Bot. King's Rep. 14. From North- western Nevada to Arizona and Southern Utah (Parry), apparently confined to the inner basin. It has smaller and smoother seeds, smaller flowers, and narrower capsules than any other form. ^ Arabis Lyallii. Perennial and alpine or subalpine, glabrous and bright green or glaucous, or somewhat villous below with spread- ing hairs, especially on the margins of the petioles ; i-arely more or less canescent with stellate hairs : stems slender, from a branching base, two to fifteen inches high, often dwarf: radical leaves oblaneeolate, on slender petioles, acute, entire ; the cauline oblong-lanceolate, clasping and sagittate at base : petals light pink, about three lines long, twice longer than the sepals: style, none: pods straight, narrow, erect or ascending, one to three inches long : seeds in two rows, narrowly winged. — A. Drummondli, var. alpina, Watson, Bot. King's Rep. 18. In the mountains from Washington Territory to Mono Pass in the Sierra Nevada, and eastward to W. Wyoming and Utah. Resem- bling some forms of A. Drummondii, but distinguished by its peren- nial root. •^ Arabis kepanda. Biennial, pubescent with loose branched hairs, especially below : stem rather stout and coarse, two feet high, the spreading branches somewhat flexuous : leaves oblaneeolate, three or OF ARTS AND SCIENCES. 123 four inches long, obtuse, coarsely sinuate-toothed, attenuate to a broad petiole ; those on the branches narrower and acutish : calyx pubescent, a line and a half long or less, a little shorter than the pinkish petals : pods somewhat pubescent, ascending, falcate, three inches long and a line wide : style very short : seeds in one row, broadly winged. — Yosemite Valley, n. 4881 Bolander. A strongly marked species. / Arabis Breweri. Perennial, cespitose, canescent with a dense stellate pubescence and villous above with spreading nearly simple hairs: stems simple from a branching base, two to ten inches high : radical leaves spatulate, an inch long or less, shortly petioled, entire ; the cauline ovate-oblong, sessile but not sagittate, acute : petals deep rose-color, from one to four lines long, twice longer than the purplish sepals : pods spreading or recurved, about two inches long, a line wide: style none: seeds in one or two rows, narrowly winged. — In the Coast Ranges from Mt. Diablo ( Hrewer, Bolander) to Lake County (Greene) and Mendocino County (Bolander). Most like A. arciiata, Gray, of the Sierra Nevada and mountains of S. Califor- nia, which is a taller species, with larger flowers, longer pods, and different pubescence, the leaves mostly toothed and the cauline ones sagittate. / Smelowskia (?) Fremontit. a dwarf alpine perennial, pubes- cent Avith scattered short spreading hairs, the branching somewhat woody base covered with a few remnants of old leaves : stems two to four inches high : leaves less than half an inch long, pinnate with one to three pairs of linear leaflets, which are strongly nerved and slightly revolute : sepals glabrous, broad, less than a line long ; petals white, twice longer: immature pods two to three lines long, somewhat ob- compressed, obtuse at base and scarcely attenuate above, beaked with a short thick style ; valves faintly nerved : seeds small, ten or more in each cell ; cotyledons obliquely incumbent. — Collected by Fremont on hills near Klamath Lake, and by Lemmon in the northern Sierra Nevada. It much resembles S. cahjcina in habit, but the characters of the fruit do not fully accord with those of the genus. •^ Lyrocarpa Palmeri. Pod reniform-obcordate, rounded at the base, four or five lines wide, broader than high : cells 2-seeded, the upper seed horizontal, the lower pendulous : petals linear, purplish, six lines long, twice longer than the calyx. — It otherwise resembles the original L. Coulteri^ Hook. & Harv. The peculiarities of the fruit recpiire a modification of the received generic chai-acter. From the Big Caiion of the Tantillas Mountains, below San Diego ; col- lected by Dr. Edward Palmer. 124 PROCEEDINGS OF THE AMERICAN ACADEMY "^ Thysanocarpus erectus. Smooth and leafy: leaves oblong to oblanceolate, au inch or two long, auricled at base, somewhat sinuate- dentate : flowei's purple or rose-colored : fruiting pedicels erect : pod minutely pubescent, the wing of the fruit (still immature) without indication of nervation or pei'foration : style very short — Collected by Dr. E. Palmer on tlie western side of Guadalupe Island. Distin- guished especially by its erect joedicels. ^ Frankenia Palmeri. a rather slender diffuse shrub, a foot high, with short straight divaricate branchlets : leaves numerous, fas- cicled, a line or two long, thick and strongly revolute so as to be nearly terete, canescent with a white papillose and furfuraceous en- crustation : calyx a line and a half long: petals linear, a little exserted: stamens four : style bifid : capsule 2-seeded. — Lower California, upon the gulf side, Dr. E. Palmer. I SiLENE Palmeri. Puberulent with short spreading hairs, glan- dular above : stems a foot high, slender, from a branching base : leaves oblanceolate, an inch long : flowers purplish, on slender pedicels, in an open panicle: calyx four lines long; teeth short: petals very narrow, half an inch long ; blade 4-parted with linear entire or bifid lobes ; appendages linear ; claw not auricled, and with the filahients very vil- lous : styles and stamens much exserted : capsule oblong, exceeding the calyx ; stipe scarcely a line long : seeds tubercular, not crested. — In the Cuyamaca Mountains, San Diego County ; Dr. Edward Palmer, August, 1875. ■^ Calandrinia Breweri. Much resembling C. Me7iziesii\ from which it is distinguished by its divaricately spreading or deflexed pedi- cels ; by a longer conical blunt capsule, 4 to 5 lines long, and exceed- ing the triangular-ovate sepals ; and by the rather smaller (half a line broad) seeds, which are more strongly tuberculate, and not shining. — C. Menziesii, var. macrocarpa, Gray in Proc. Am. Acad. 3. 102. Collected by Professor W. H. Brewer, in the Santa Inez Mountains, near Santa Barbara ; the only specimens are a foot tall or more, with elongated racemes. ^ Lavatera occidentalis. a close shrub, three or four feet high, leafy at the ends of the short branches : leaves stellate-puberu- lent, round-cordate, 7-lobed to the middle, three to five inches broad, on long petioles ; lobes acutish, coarsely toothed : flowers axillary, solitary, on short deflexed pedicels : calyx over aii inch long, twice lono^er than the involucre, cleft to the middle into broad foliaceous lobes : petals narrowly spatulate with a broad naked claw, emarginate, two inches long, straw-colored with violet stripes : fruit half au inch OF ARTS AND SCIENCES. 125 broad, finely pubescent ; carpels six to ten, about equalling the sbort conical summit of the axis. — Collected by Dr. E. Palmer on the cliffs of Guadalupe Island. An interesting discovery as confirming the American habitat of the genus. Malvastrum Coulteri. Perennial, somewhat pubescent, with slender branches : leaves small, ovate or somewhat cordate, 3-5-lobed, acutely toothed, equalling or exceeding the slender petioles; flowers small, in a rather loose raceme : calyx-lobes acuminate : petals rose- colored, 4 or 5 lines long : carpels rounded, less than a line in diameter, ' with a thin horizontal oblong projection inward at base, very strongly reticulated, pubescent below. — Collected probably in South-eastern California by Coulter (n. 96), and in the valley of the Gila by Schott, on the Mexican Boundary survey. Very peculiar in the character of its carpels. / Sph^ralcea sulphurea. Perennial, resembling S. Emoryi in habit, but more tomentose, and the inflorescence usually much more paniculate and diffuse : leaves ovate, two to four inches long, exceed- ing the petioles, more or less distinctly 3-5-lobed, acutish, crenately toothed, cordate to abruptly cuneate at base : flowers sulphur-yellow or whitish, usually tinged with pink : calyx two or three lines long, with broad acute lobes : petals twice longer, villous at the base of the claw : fruit globose ; carpels semicircular, a line and a half long, reticulate on the sides. — On Guadalupe Island, Dr. E. Palmer ; growing abun- dantly among rocks, in large bunches three feet high. ^ Abdtilon Newbkrryi. AVoody at base, often four to five feet high, densely tomentose ; branches short and stout : leaves thick, oblong-lanceolate, acutish, cordate at base, one or two inches long, on short petioles : pedicels fascicled in the axils, much shorter than the leaves : flowers deep yellow, three lines long : carpels about eight, somewhat membranaceous, three lines long, narrower but rounded above, 2-valved to the base, 3-seeded. — Sphceralcea incana, Gray, Bot. Ives's Exp. 8. At Canebrake Caiion on the Lower Colorado by Newberry, on the Lower Gila by Emory, and in the Big Caiion of the Tantillas Mountains, below San Diego, by Palmer. / Tribulus Californicus. Small, hoary-pubescent and hairy: leaflets about six pairs, oblong-elliptical, two or three lines long : flowers yellow, very small, the petals little longer than the narrow sepals : fruit deeply o-lobed, two lines or less in diameter, sliort- beaked ; the carpels with four or five stout obtuse tubercles upon the back ; pedicels shorter than the leaves. — Collected by Dr. E. Palmer, in Lower California (1870), on the eastern side of the peninsula. 126 PROCEEDINGS OP THE AMERICAN ACADEMY Adolphia Californica. a shrub of rigid and compact liaLit, about two feet high ; the branches terete, with spreading spiny branclilets, puberulent : leaves orbicular to oblong-ovate, one or two lines long, mucronate or often retuse, abruptly attenuate to a slender petiole : flowers greenish, on pedicels about equalling the leaves ; petals rather deeply hooded : fruit two Ihies in diameter ; the siiort style deciduous from the very base. — A. infesta, Torrey, Bot. Mex. Bound. 45, in part. At Solidad and Chollas Valley, near San Diego, and near Monterey ; collected by Parry, Cleveland, and Palmer. The more eastern A. infesta, Meisner, is distinguished by its larger linear or oblong-lanceolate leaves, attenuate to a short petiole ; petals less deeply hooded ; and longer style, jointed above the base, and leav- ing the capsule apiculate. ^ THERMOPsrs Californica. Woolly-tomentose throughout: stip- ules lanceolate ; leaflets obovate to oblanceolate, 1 or 2 inches long, acute or obtuse, equally tomentose on both sides : bracts mostly ovate, broad and clasping at base : pod ou a short glabrous stipe, very pubescent, linear, 6-8-ovuled ; mature fruit not known. — T. macro- ■phylla, Torrey, Pacif. R. Rep. 4. 81 ; &c. T. fabacea, Torrey, Bot. Mex. Bound. 58. Marin and Napa counties, California, and pi-obably southward. T. macrophylla, H. & A., is distinguished by its villous spi'eading pubescence, its large leaves glabrous above, and broad 4—5- seeded pod. The more northeru and eastern species, T. montana, Nutt. (usually leferred to 7\ fabacea, DC), is much more glabrous, the linear pods 10-12-seeded. "^ LuPiNUS NiVEUS. White throughout with a short dense tomen- tum, without villousness : stems a foot high, branching, leafy : leaflets nine, broadly oblanceolate, acutish, an inch long or more, shorter thau the petioles : flowers subverticillate, in a shortly peduncled loose raceme ; pedicels two or three lines long ; bracts short, deciduous : calyx-lips equal ; the lower narrow, nearly entire ; the upper bifid : petals equal, broad, all naked, four or five lines long, deep blue, the banner greenish yellow in the centre : pod 5-ovuled. — Collected by Dr. E. Palmer, on Guadalupe Island, on rocks. Allied to L. leucophylhis. ^ LuPiNUS GitAYi. A span high, densely hoary-tomentose through- out, usually with some silky hairs : leaflets five to nine, cuneate-oblong or oblanceolate, obtuse or acutish, shorter than the petioles : racemes peduncled, short and loosely flowerel, with ratlier slender pedicels a line or two long ; bracts subulate, equalling the calyx, deciduous : flowers subverticillate, light blue, rather large (six to seven lines long), with broad wings and broad naked banner; keel ciliate : pod 5-6-seeded, OP ARTS AND SCIENCES. 127 an inch long or more. — In the Sierra Nevada; near Clark's Ranch, Mariposa Co., Dr. Asa Gray; Indian Valley, Plumas Co., Mrs. M. E. Piilsifer Ames. With the large flowers and loose raceme of L. ornatus, but otherwise more nearly allied to the L. leucophyllus group. ■^ LuPiNUS ONUSTUS. A span higli or less, with a decumbent and somewhat wciody base, rather sparingly silky-villous : leaflets five to eight, oblanceolate, acute or acutish, glabrous above, about an inch long, tlie petioles two or three times longer : flowers deep blue, small (four lines long), scattered in a loose short and shortly peduncled raceme ; bracts short, deciduous ; pedicels slender : calyx slightly gibbous : ban- ner naked ; keel strongly ciliate : pod half an inch broad, an inch and a half long, 6-ovuled : seeds brown, over three lines broad. — Indian Valley, Plumas Co., by Mrs. M. E. Pulsifer Ames ; Sierra County, Lemmon. Most nearly resembling L. parvijiorus on a reduced scale, but very distinct in its fruit. •' Trifolium (Lupinaster) Lemmoni.* Dwarf and cespitose, alpine, sparingly appressed-pubescent, the short rather slender stems from a stout thick perennial root : stipules ovate, acuminate, toothed ; * We give the following revision of the North American species of this genus : — § 1. Leaflets 5 to 7 : heads not invoUicrate, terminal and axillary : flowers ses- sile : calyx-teeth filiform, plumose : low or dwarf perennials. — Western species. •^ 1. T. MEGACEPHALDM, Nutt. Stout, somewhat villous : stipules ovate-ob- long; leaflets obtuse, nearly an inch long: flowers in very large spicate heads : pod smooth, 6-ovuled. — North-eastern California and Northern Nevada to Wash- higton Territory. ' 2. T. Andersonii, Gray. Cespitose, densely villous : stipules lanceolate ; leaflets smaher, acute, nearly entire : flowers smaller, umbellate : pod tomen- tose, about 5-ovuled. — Proc. Am. Acad. 6. 522. North-eastern CaUfornia and Northern Nevada. 3. T. Lemmoni, Watson. See above. § 2. Leaflets 3 : heads not involucrate, terminal : perennial or biennial. * Flowers on slender pedicels, large. — Eastern species. ■^ 4. T. REFLEXUM, L. Not stolooiferous : leaflets obovate to cuneate-oblong: flowers numerous, umbellate on the summit of the peduncle : pod stipitate, 4ovuled. — T. plati/cephaliim, Bisch. in Linnaea, 14. 1.32 (Litt.-Bericht.). From Canada West to Florida and Texas. / 5. T. STOLONiFERDM, Muhl. Stolouiferous : leaflets broadly obovate, re- fuse : flowers fewer, on an evident rhachis : pod nearly sessile, 2-ovuled. — Ohio and Kentucky to Missouri. 128 PROCEEDINGS OF THE AMERICAN ACADEMY leaflets three to five, thick, obovate, obtuse, coarsely toothed, lialf an inch long or less : peduncles mostly terminal, equalling the leaves : flowers numerous, spicate upon a short rhachis (only two lines long), * * Flowers sessile or nearly so. — Western species. 1- Caulescent, often tall. ++ More or less pubescent : calyx-teeth very narrow, much longer than the tube, plumose or hairy : stipules lanceolate, acuminate. 6. T. ERiocEPHALUM, Nutt. Usually spreading-villous : leaflets oblong : flowers in dense ovate liearls, at length reflexed : teeth filiform, lax, very plu- mose : ovary hairy. — N. California to Oregon and Idaho. 7. T. PLUMOSUM, Dougl. Somewhat appressed-villous : leaflets elongated, narrowly oblong to linear : heads oblong or ovate ; flowers not reflexed : teeth straight, plumose : ovary smooth. — Oregon, Idaho. 8. T. LONGiPES, Nutt. Stem usually glabrous : leaflets shorter, narrowly oblong, mostly very acute : heads ovate, smaller and looser : teeth straight, more or less hairy. — Var. latifolium. Hook. Often low : leaflets broader : flowers pedicellate in loose heads. — From the Rocky Mountains to the Pacific. ++ ++ Glabrous throughout : calyx-teeth subulate, rigid, contorted, twice longer than the tube : flowers sessile : stipules lanceolate, acuminate. 9. T. ALTissiJiuM, Dougl. Stout: leaflets narrowly oblanceolate, acute. — Oregon, Idaho. ++++++ Glabrous throughout : calyx-teeth straight, scarcely longer than the tube : stipules mostly ovate, acute, entire : flowers on very short pedicels, at length reflexed. 10. T. Beckwithii, Brewer, ined. Stout : leaflets oblong to oblanceolate, obtuse or acute, 1 or 2 inches long, coarsely veined and tootlied : flowers 7 to 9 lines long, in dense globose heads : teeth linear-subulate : ovary 2-6-ovuled. — T. ultissimum, Torr. & Gray, Pacif. R. Rep. 2. 120. N. E. California to S. Idalio. 11. T. KiNGii, Watson. Smaller and more slender : leaflets usually narrow and acuminate: flowers 4 to 7 lines long, in looser heads. — Bot. King's Rep. 59. T. Haydeni, Porter, Hayden's Rep. 1871, 480. N. E. California to Mon- tana and Utah. 12. T. BoLANDERi, Gray. Cespitose, decumbent : leaflets small, bro^nd and obtuse, very finely reticulated, slightly serrulate : flowers few, 3 or 4 lines long : teeth lanceolate, scarcely as long as the tube: ovules 2. — Proc. Am. Acad. 7. 335. Yosemite Valley. -t- +- Dwarf, cespitose, acaulescent or nearly so. — Rocky Mountains to Utah. ++ Glabrous : flowers large : ovary smooth, linear, 8-ovuled. 13. T. NANUM, Torr. Leaflets small, oblanceolate, serrulate : flowers 1 to 3, 6 to 9 lines long : calyx-teeth broad, acute. 14. T. BuAXDEGEi, Watson. See p. 132. OF ARTS AND SCIENCES. 129 very small (so for as known) : calyx villous, two lines long, the filiform plumose teeth exceeding the purplish petals : banner deeply hooded : ovary smooth, 2-ovuled. — From Lassen's Peak, by J. G. Lemmon, *+ ++ Pubescent : flowers small : ovary obovate, densely villous, 2-ovuled, at length exserted from tlie calyx. ^ 15. T. GTMNOCARPON, Nutt. Leaflets ovate-oblong to oblanceolate : flowers 3 to 5 lines long, in rather close heads. — T. subcaultscens, Gray, Bot. Ives's Eep. 10. ~ § 8. Leaflets 3 : heads not involucrate, axillary or rarely terminal : annuals. * Pubescent : heads mostly terminal : flowers sessile, not refle.xed : calyx-teeth long-filiform, very plumose : ovules 2. — Western. ^ 16. T. Macr.«i, H. & A. Flowers dark-purple, 3 lines long, in dense ovate long-peduncled heads. — Var. dichotomum. Brewer. Taller and stouter, with larger flowers : corolla more conspicuous, tipped with white. T. dichotomum, H. & A. — From the Columbia River to S. California. The typical Cliilian form appears to have nearly sessile heads and stouter calyx-teeth. * * Mostly glabrous : heads axillary, small : flowers shortly pedicellate, at length reflexed : calyx-teeth subulate or short. -1- Calyx-teeth subulate: ovules 2. — Western species. {T. depauperatum might be looked for here.) ■^ 17. T. ciLiATUM, Nutt. Glabrous: leaflets obtuse or retuse : calyx cani- panulate ; teeth lanceolate, rigid, the scarious margin rough-ciliate. — PI. Gam- bel. 152. T. ciliolatum, Bentli. PI. Hartw. 304. From the Columbia to S. California. •^ 18. T. G-RACiLENTUM, Torr. & Gray. Slender : peduncles rarely villous with spreading hairs : leaflets retuse : heads rather dense : calyx campanulate ; teeth subulate, equalling the corolla. — T. denudatum, Nutt. PI. Gambel. 152, t. 24. From the Columbia to S. California. 19. T. BiFiDUM, Gray. Leaflets narrow, deeply notched or cleft, the sides sparingly toothed or entire : otherwise as the last. — Proc. Am. Acad. 6. 522. 20. T. AMABiLE, HBK. Similar to T. gracilentum, but more decumbent, piibescent : calyx-teeth linear-setaceous, somewhat villous. — Mexico and West- ern South America. 21. T. Breweri, Watson. See p. 132. 22. T. Palmeri, Watson. See p. 132. ■t- +- Ovules 4 or more : low, decumbent : leaflets obcordate or obovate. — Eastern species. 23. T. CAROLiNiANnM, Michx. More or less pubescent : corolla 2 lines long, scarcely exceeding the green subulate calyx-teeth. — Pennsylvania to Florida and Texas. - 24. T. AMPHiANTHUM, Torr. & Gray. Stoloniferous, very slender, nearly glabrous : flowers few, 4 lines long : calyx-teeth slender, much shorter, equalling VOL. XI. (N. S. III.) 9 180 PROCEEDINGS OF THE AMERICAN ACADEMY 1875. The few specimens are imperfect, only a few perhaps unde- veloped flowers remaining on the receptacles. * Trifolium Brandegei. Dwarf, perennial, cespitose and acau- the tube : small solitary fertile flowers often borne under ground. — Louisiana to Texas. 25. T. Bejariense, Moricand. Slightly hairy: calyx herbaceous, unequally lobed, nearly equalling the corolla ; upper tooth nearly distinct, narrow ; the rest broad, acute, reticulated : standard and wings broad, toothed, 3 lines long. — PI. Nouv. 2, t. 2. T. macrocalyx, Hook. Ic. PI. t. 275. Texas. ' § 4. Leaflets 3 : heads subtended by a mostly nionophyllous usually many-cleft involucre, axillary : flowers in whorls, sessile or nearly so, not reflexed. * Low or dwarf perennials, acaulescent or nearly so : flowers rather large : involucre parted, somewhat scarious. — Rocky Mountains. 26. T. Parry I, Gray. Glabrous, often stout: leaflets oblong to oblanceo- late : flowers large, in close heads : bracts 5 to 7, oblong, obtuse : calyx-teeth broadly subulate, equalling the tube. — Am. Jour. Sci. 2. 33. 409. 27. T. DASYPHTLLUM, Torr. & Gray. Cespitose, silky : leaflets linear-lan- ceolate, entire : bracts very small, unequal, lanceolate : teeth linear, much longer than the tube. 28. T. Anuinum, Nutt. Cespitose, silky : leaflets cuneate-oblong, entire : involucre of 2 broadly stipuled 3-foliolate leaves : teeth subulate, nearly equal- ling the smaller flowers. — Watson, Bot. King's Rep. 60, t. 8. * * Slender annuals : corolla not becoming inflated. — Western. •4- Involucre not membranaceous, deeply lobed : lobes laciniately and sharply toothed. 29. T. ixvoLUCRATUM, Willd. Glabrous: leaflets mostly oblanceolate, acute at each end : flowers I inch long, in close heads : teeth thin, long and narrow, entire : ovules several. — T. Wormskioldii, Lehm. T. fimbriatum, Lindl. T. spinnlosum, Dougl. From British America to Mexico. Var. HETERODOX. Heads mostly larger and leaflets broader: some of the teeth setaceously cleft. — T. heterodon, Torr. & Gray. Washington Territory to New Mexico. 30. T. TRiDENTATUM, Lindl. Smooth or glandular-puberulent : leaflets linear to narrowly lanceolate : flowers 6 to 8 lines long in close heads : teeth rigid, rather abruptly narrowed from a broad base into the spinulose apex, entire or shortly toothed : ovules 2. — T. involucrattim, Torr. & Gray. T. acicu- lare & poli/pliiflliun, Nutt. From Washington Territory to S. California. Var. OBTUSIFLORUM. Stouter, often glandular: leaflets usually broader and heads large : teeth entire. — T. oJduslflorum, Hook. Central Cahfornia. Var. MELANAXTHUM. Sniootli, often low : flowers smaller, dark-purple : teeth entire or toothed. — T. inelananthum, Hook. & Arn. T. vark- rowly oblong, acutish, about an inch long ; stipules small, subulate : racemes very short (half an inch long), and few-flowered; bracts de- ciduous : pedicels bracteolate, about three lines long : calyx narrowed at base : pods smooth, coriaceous, compressed, reticulated and with nerve-like margins, three or four inches long, more or less contracted between the thick oblong (half inch long) seeds ; stipe exceeding the calyx. — S. speciosa, Torrey in Pacif. R. Rep, 4. 82. At Cactus Pass and on White Cliff Creek in W. Arizona, by Dr. Bigelow ; only fruiting specimens found, January. The pod is thinner and more compressed than is usual in the genus and the seed less globose. The more eastern »S'. speciosa, Benth., has very thick and terete silky pods, with ovate seeds, and larger obtuse or emarginate cuneate- obovate or broadly spatulate leaves. •^ Parkinsonia Torreyana. a small tree, twenty or thirty feet high, with smooth light green bark ; younger branches and leaves sparingly pubescent : leaflets two or three pairs in each pinna, oblong, obtuse, narrower toward the somewhat oblique base, two or three lines long, glaucous : flowers on long pedicels in racemes terminating the branches ; pedicels jointed near the middle, the joint not evident until in fruit: petals apparently bright yellow, four lines long; claw of the upper petal with a thick prominent gland: ovary »labrons : pod with a double groove along the broad ventral suture, usually two inches long or more, 2-8-seeded, straight or somewhat contracted between the seeds : seeds very thick. — Cercidium Jloridam, Torrey in Pacif R. Rep. 5. 360, t. 3. Abundant on the Lower Colorado River and in the valleys of Western and Southern Arizona, and known as Palo Verde or Green-barked Acacia. It has been always mistaken for P. jlorida {Cercidium Jloridum, Benth.), of the Rio Grande Valley, which has sessile axillary racemes, pods with a narrow acute mai-gin on the ventral side, thinner seeds, and somewhat smaller leaflets. The characters which have been relied upon to separate Cercidium, Tulasne, from Parkinsonia, do not hold good in regard to our western 136 PROCEEDINGS OF THE AMERICAN ACADEMY species, and it becomes necessary to unite tlie two genera. The P. microphylla of Torrey, from W. Arizona (republished by Beuthara under the same name in Martins' Flora Brasil.), is certainly rightly referred, the pod being in every respect that of Parlv'«so?»'a, though the habit and characters of the flowers are those of Cercidium. Both genera are alike in the jointed pedicels of the flowers, in the more or less thickened glandular and pubescent claw of the upper petal, in the strongly gibbous filament of the corresponding upper stamen, in the indoubliug of the style in the bud, and in the more or less oblique longitudinal veining of the pod. The valvate or slightly imbricate jEstivation of the calyx, the straight or torulose and more or less coria- ceous pods, and the differences in foliage, cannot be relied upon to dis- tinguish the genera. In addition to the three species already mentioned and the eastern P. Texana {Cercidium Texanum, Gray), there is perhaps another undescribed species from near Camp Grant m Ari- zona, and Botteri's n. 994 from Orizaba, Mexico, appears also to be distinct, but the material in both cases is insufficient for a satisfac- tory description. Cassia (Cham^senna) armata. Herbaceous, about three feet high, minutely puberulent, light green : leaflets two or three pairs, thick, round-ovate, acutish, a line or two in diameter, the margin slightly revolute, distant upon an elongated (two inches long) rigid flattened spinulose rhachis; stipules and glands wanting: flowers in a short terminal raceme, yellow, on slender pedicels and with rigid aculeate-tipped bracts : petals two or three lines long : ovary slightly pubescent ; the numerous ovules obliquely transverse : young pod glabrate, stipitate, linear, acuminate, compressed, the sutures thick and nerve-like. — A remarkable species, found by Dr. J. G. Cooper in the mountains of S. California, between Fort Mohave and Cajon Pass, and also by Ligut. Wheeler in W. Arizona. V Neillia Torreyi. a small shrub, differing from N. opulifoUa in its smaller leaves, which are an inch long or often less, its finer pubes- cence and the leaves sometimes densely white-tomentose beneath, its fewer and smaller flowers (only half as large) on shorter pedicels, tbe fewer (lo or 20) stamens, and especially the densely tomentose ovaries, which are fewer (usually 1 or 2) and become less inflated. — • Spircea monoyyna, Torrey, Ann. N. Y. Lye. 2. 194. ^. opidifolia, var. paucijiora, Torr. & Gray. In the mountains of Colorado and •westward to Nevada. Very distinct from N. opidifolia, though by no means always monogynous as originally describetl, and of interest as being a strictly American species of this chiefly Asiatic genus. OF ARTS AND SCIENCES. 137 Sedum variegatum. Glabrous, slender ; stems simple, from un- derground rootstocks (?), erect, an inch or two high : radical leaves none ; cauline lanceolate with a broad base, two lines long or less : flowers few (three to six) in a close cyme : sepals broadly ovate, acute, short and purplish : petals twice as long (about two lines), ovate-lan- ceolate, yellowish with purple midvein : stamens 10, included. — A diminutive species, sent by D. Cleveland, from San Diego. ■^ CEnothkra (Sph^rostigsia) Gdadalupensis. a low erect annual (three inches high), branching, finely pubescent: leaves oblan- ceolate, sessile or the lowest attenuate to a petiole, obtuse or acutish, obscurely smuate-toothed, an inch long: flowers few, axillary, yellow, very small : calyx-tube obconical, a line long ; the lobes as long, close in the bud : capsule oblong-pyramidalj nearly straight, strongly angled, half an inch long : seeds brown, smooth. — Found by Dr. E. Palmer ou Guadalupe Island ; a peculiar species in the section as respects its capsule, in which it most resembles (E. andina. ir Mentzelia dispersa. a slender annual, usually about a foot high ; leaves narrowly lanceolate, sinuate-toothed or sometimes entire, rarely pinnatifid, the uppermost often ovate : flowers small, mostly ap- proximate near the ends of the branches ; calyx-lobes a line long, little shorter than the five spatulate or obovate petals : filaments not dilated : capsule narrowly linear-clavate, six to nine lines long : seeds very often in a singleVow, angular and somewhat rhombohedral, more or less grooved upon the angles, very nearly smooth, half a line long. — M. alhicaulis, var. integrlfoUa, Watson, Bot. King's Rep. 114. From Washington Territory to Colorado and southward, frequent ; Yose- mite Valley, Bolander; Guadalupe Island, Palmer. Much resembling 31. albicaulis, Dough, with which it has been confounded almost from the first, but wdiich is distinguished by its more pinnatifid leaves and slightly larger flowers, and especially by its rather strongly tubercu- late seeds, irregularly angled with obtuse margins. The rarer allied species 31. micrantha differs in its more leafy habit and small ovate leaves, and in its shorter, broader and few-seeded capsules, the seeds a line long. ^ CucuRBiTA PALMATA. Canescent with a short rough pubes- cence, which is appressed upon the leaves ; stems leafy : leaves thick, cordate, two or three inches broad, usually exceeding the petioles, pal- mately o-cleft to the middle with lanceolate acuminate lobes, which are often obtusely toothed near the base : flowers three inches long, on stout pedicels : calyx-tube an inch long, the lanceolate teeth three lines long or more : fruit globose ; seeds five lines long, rather smaller 138 PROCEEDINGS OF THE AMERICAN ACADEMY than in C digitnta. — San Diego County : collected in Cajon Valley by D. Cleveland, and at Larken's Station near the Jacumba Mountains by Dr. E. Palmer. ^ CucuRBiTA Californica, Torrey MS. in herb. Imperfect speci- mens of this species were collected by Dr. E. Pickering on the Wilkes Exploring Expedition, at some locality in the Sacramento Valley. Tlie foliage is much like tliat of the last, but the flowers are smaller, scarcely more than an iiicli long, exceeding the slender pedi- cels ; calyx-teeth short and linear. '' Megarkhiza Guadalupensis.* Nearly glabrous, the inflores- cence somewhat pubescent : leaves thin, 3-5-lobed to the middle ; * JIEGARRHIZA, Torrey. The species of this genus liaA-e been imperfectly studied, owing to want of material, and the only one at all well known has been the original M. Californica, the Echinocystis fahacea of Naudin. As already pointed out by Dr. Gray and Dr. Torrey, the genus is separated from tl;e east- ern Echiiioci/stis by its thick perennial roots, its large turgid immarginate seeds, and its thickened flesliy cotyledons, wliich remain subterranean in germination, — characters which hold good in all the species, and may be considered as suf- ficiently distinctive. The following are tlie species at present known, the characters subject to modification as fuller material ma\' require. Considerable diversity is shown in tlie internal structure of the fruit, which may perhaps be found to vary to some extent even in the same species. "^ 1. M. Californica, Torrey. Nearly glabrous; stems very long: leaves 5-7-lobed, rarely to the middle ; lobes broadly triangular, abruptly acute : fer- tile flowers without abortive stamens : ovary globose, densely echinate, 2-celled (rarely 3-4-celled), the cells 1-2-ovuIed; ovules attached to the outer side, the lower ascending, the upper horizontal : fruit globose or ovoid, two inches long, beset with stout almost pungent spines (a half to an inch long), 1— 4-seeded : seed obovoid, ten lines long, surrounded lengthwise by a shallow groove or darker lino, the hiluni at the end. — Pacif. R. Rep. 6. 74. Echiitoci/stis fulxicea, Naudin, Ann. Sci. Nat. 4. 12. 154, t. 9, and IG. 188. Near the coast from Punta de los Reyes to San Diego. 2. M. Marah. Scabrous or nearly smooth ; stems very long : leaves nearly as in the last : fertile flowers with abortive stamens : ovary oblojig-ovate, more or less covered with soft spines, 2-3-celled : ovules 1 to 4 or more in eacli cell, ascending or horizontal, attached to the outer side of the cell : fruit ovate-ob- long, four inches long, somewhat attenuate at each end, more or less beset with weak spines : seeds horizontally imposed, flattisli, suborbicular or irregu- larly elliptical, an inch in diameter, about half as thick, with an obscure mar- ginal furrow and prominent lateral hilum. — Marah mttricatus, Kellogg, Proc. Calif. Acad. 1. 38. Near San Francisco Bay, at Bolinas, Saucelito, Alameda, Redwood, Corte Madera, &c. 3. M. Oregona, Torrey. Much like the last : fertile flowers without abor- tive stamens : young fruit similar in shape, sparingly muricate with soft spines, OP ARTS AND SCIENCES. 139 lower lobes quadrangular, the upper acuminate, with a few short teeth : flowers in subsimple racemes, six to eight lines broad ; calyx- teeth filiform : ovary ovoid, densely covered with short soft spines, on a slender pedicel an inch long, 2-celled ; ovules one or two in each cell : fruit ovoid, about two inches long, acute above, somewhat pubes- cent, and with scattered short stiff spines, usually 2-seeded : seeds sub- globose, an inch in diameter, attached to the inner side of the cell, smooth upon the margin. — From Guadalupe Island, by Dr. E. Pal- mer ; growing on high rocks. ^ Sanicula Nevadensis. Low, the peduncles mostly from the base of the stem : leaves ternute with decurrent oblong-ovate 3-5- lobed divisions, the segments lobed or toothed : involucre pinnatitid and tootlied : rays about 5, souietimes branched, about an inch long in fruit ; involucels somewhat unilateral, of several oblong acute more or less united bracts: fliowers yellow: fruit sessile, covered with stout pricliles. — In Plumas County, California ; collected by Mrs. M. E. P. Ames, and by Lemraon. CicuTA BoLANDERi. Leaves bipinnate ; leaflets narrowly lanceo- late, narrowly and sharply acuminate, two inches long, very acutely serrate, the veinlets passing to the sinuses ; lower leaflets petiolulate, often deeply lobed : involucre of several linear leaflets : fruit two lines long, nearly orbicular, strongly ribbed and with broad vittfB, which are sunk in the channelled seed. — At Suisun,' California, in salt-marshes ; Bolander. •^ QiInanthe Californica. Stems succulent: leaves ternate and bipinnate, the pinnte nearly sessile ; leaflets approximate, ovate, about an inch long, acute or acutish, toothed, often lobed at base : involucre 3^-celled : cells imbricated above each other, l-seeded : seeds obovoid, ascend- ing, attached to the outer side of the cell. — Pacif. R. Eep. 6. 74. Common in Washington Territory and Oregon. The ripe fruit has not been collected. ' 4. M. MURiCATA. Nearly glabrous and often glaucous ; stems six to eight feet long : leaves usually smaller, deeply 5-lobed, the divisions broader above and sharply toothed or lobed : fertile flowers without abortive stamens, on slen- der pedicels : ovary oblong, acute at each end, smooth or sparingly muricate : fruit nearly globose, an inch in diameter, naked or with a few short weak spines near the base, 2-celled (or perhaps sometimes 3- or 4-celled), 2-sceded : seed nearly globose, half an inch in diameter, ascending, attached to tlie outer side of the cell near the base, the margin smooth. — Echinocijstis mnricnta, Kellogg, Proc. Calif. Acad. 1. 57. On the lower slopes of the Sierra Nevada, in Cala- veras and Placer Counties. 5. M. GuADALUPENSis, Watson. See above. 140 PROCEEDINGS OF THE AMERICAN ACADEMY of one or two linear bracts or none : fruit crowded, oblong, obtuse at eacli end ; ribs and commissure very corky : seed somewhat dorsally compressed, usually angled ; vittie at the angles. — Found in mai-shes at Point Lobos and Merced Lake, and southward to San Diego County. — (E. sarmentosa, Nutt., of Washington Territory, differs especially in its more diffuse leaves, the leaflets acuminate and smaller. ■^ LiGUSTicuM FiLiciNUJi. Eather slender, erect, a foot and a half high : leaves broadly triangular in outline, ternate, the divisions bipin- nate, and the segments deeply pinnatifid with linear acute lobes : rays 10 to 15, an inch or two long; involucre none ; involucels of one or few small linear bracts ; pedicels slender : fruit oblong, three lines long, with dilated crenale disk but obscure stylophore, strongly ribbed on the back, the lateral ribs narrow; vittfB obscure: seed flattened, concave on the face, obscurely ridged on the back. — L. apiifolium, Watson, Bot. King's Rep. 125. L. scopulorum, Parry in Am. Natu- ralist, 9. 271. In the Wahsatch and Uintah Mountains (n. 454 Wat- son ; n. 82 Parry, S. Utah collection), and northward to Wyoming (n. 121 Pany, N. W. Wyoming collection). Both L. apiifolium, of Oregon and California, and L. scopidurum, of Colorado, have much less dissected foliage, and different fruit, which is shorter and more oval, with conical stylophore, less flattened carpels, and a medial longitudinal ridge upon the face of the seed. These two species are very similar, but the latter has the more broadly winged ovate fruit, and the more depressed seed. There are indications of one or two other species, but fruit is needed for their confirmation. Selinum Pacificum. Leaves ternate and bi[)innate, the ovate acutish segments an inch long, laciniately toothed and lobed : umbels on stout peduncles, about 15-rayed, with a conspicuous involucre of two or three lobed and toothed leaflets, an inch long and equalling the rays ; involucels of several narrowly linear entire or 3-toothed bracts, equalling the flowers ; pedicels slender: fruit smooth, oblong, three or four lines long; wings thin, rather narrow ; stylopodium slightly i^rom- inent above the disk : vittaj conspicuous, very rarely in j^airs, the dorsal ones sunk in the body of the seed. — On the Saucelito hills, near San Francisco ; Kellogg & Harford, n. 315. This closely resembles a plant of Unalaschka, one of the two northwestern and arctic species which have been referred to the Siberian Conioselinum Fischeri, but which are rightly separated from it by Benth. & Hook, in Gen. PI. 1. 915. The Alaskan species differs in having narrower and acute leaflets, the fruit shorter and more ovate (only two lines long), with OF ARTS AND SCIENCES. 141 often a single prominent calyx-tooth ; stylopodium somewhat more prominent, and (in the still immature fruit) the vittse obscure and seed not grooved beneath the dorsal ones. ■^ Angelica tomentosa. Very stout, hoary -tomentose throughout or the stem glabrous : leaves quinate and bipiunate, the leaflets thick, ovate, acute, very oblique at base, unequally serrate with acutish teeth, the lower sometimes lobed, two to four inches long : umbels naked, often dense ; rays one to three inches long : fruit broad-elliptical (three lines long by two or more broad), the lateral wings thin and the dorsal acutish : seed thin, flat on the face, channelled on the back under the solitary vittas. — In the Coast Ranges from San Francisco to Men- docino County ; the only species near the coast. -- Cymopterus globosus. Nearly acaulescent : leaves clustered upon the very short stem, smooth and glaucous, pinnate or bipinnate with broadly oblong pinnatifid segments, the ultimate divisions oblong, obtuse, entire or toothed : involucre and involucels apparently none, and the rays and pedicels obsolete, the flowers and fruit being in dense globose heads a half to an inch in diameter: flowers white : fruit three to four lines long, the thin flat wings a line broad, narrower at base : vittfB solitary in the intervals, two on the commissure ; seed slightly concave on the face. — Northern Nevada, collected in the valleys near Carson City by Stretch and Watson, and in the Goshoot Mountains by Beckwith. Referred to by Dr. Torrey in Whipple's Report under C. montanus as an abnormal form, and made a variety of the same species in Bot. King's Rep. 124, the fruit of the two having been confounded and the real fruit not examined. Peucedanum Hallii. * Glabrous, shortly caulescent, the elongated * The western North American species of this confused and rather difficult genus form a group usually readily recognizable. They are found frequenting liillsides or dry valleys, lovv-siemmed or acaulescent, with thick fleshy roots, the stems rarely solitary, involucres wanting; stylophore nearly obsolete, and disk not dilated. The following characters may serve to distinguish them. § 1. Leaves not finely dissected (rarely bipinnate), the segments large or broad or elongated : flowers yellow : calyx-teeth mostly obsolete : fruit glabrous. * Acaulescent, glabrous : fruit oblong to ovate. •t- Leaves biternate or ternate-quinate ; leaflets orbicular to lanceolate : involu- cels none. •^ 1. P. LEiocARPUM, Nutt. Often stout and tall: leaflets thickish, narrowly lanceolate to ovate, acute, 1 or 2 inches long, entire or often few-toothed at the apex : rays usually few, elongated : fruit oblong, narrower below, 4 or 5 lines 142 PROCEEDINGS OP THE AMERICAN ACADEMY peduncles six to fifteen inches high : leaves pinnate, oblong in outline, the ovate segments half an inch long, deeply toothed or pinnatifid or pinnate with narrow divisions : involucels small : flowers yellow: calyx- long, narrowly winged : vittas distinct, solitary, 4 on tlie commissure. — Wash- ington Territory and Idaho to the Sacramento. 2. P. NuTTALLii, Watson. Very similar: leaflets orbicular or ovate, ob- tuse : fruit shorter and more ovate, very narrowly winged ; vittse obscure, 3 or 4 in the intervals and 4 to 6 on the commissure. — Bot. King's Eep. 128. P. lati- foliiim, Nutt. Oregon and N. Nevada/ t- -1- Leaves pinnate or bipinnate ; leaflets narrowly linear : involucels present. 3. P. GKAVEOLEKS, Watsou, 1. c. Scape 6 to 18 inches high, a little exceed- ing the leaves : fruit oblong, 4 or 5 lines long, narrowly margined ; calyx-teeth evident; vittse about 2 in the intervals, 4 on the commissure. — Musenium tenui- folitim. Hook, in Lond. Jour. Bot. 6. 237, not Nutt. Mountains of Utah and Colorado ; subalpine. * * Caulescent (often acaulescent in n. 4) : involucels mostly present : vittse solitary, except in n. 8. •f- Leaflets linear, entire. 4. P. TRiTERNATUM, Nutt. Finely puberulent, often tall : leaves biternate or ternate quinate ; segments acute : fruit oblong, narrower below, 3 or 4 lines long, very narrowly winged, distinctly ribbed, rarely pubescent ; vittaj distinct, 2 on the commissure. — P. leptocarpum, Nutt., the acaulescent form. Washing- ton Territory and Idaho to Northern California. 5. P. SIMPLEX, Nutt. Similar : leaves ternate or biternate : fruit orbicular, 3 to 6 lines long, emarginate at each end; wings broader than the body; ribs prominent. — Watson, 1. c. 129. P. triternatum, var. platycarpum, Torr. in Stansb. Rep. 380. Montana to N. Arizona. 6. P. AMBiGuuM, Nutt. Glabrous, often low : petioles much dilated at base ; leaves 1-2-pinnate with long linear leaflets, the upper often more dissected : involucels very small or none : fruit narrowly oblong, 4 lines long, narrowly winged; 2 vittse on the commissure, broad and thin. — P . Icevigatum and P. abrotanifolium of Nutt. ; P.fan'no^um and P. tenuissimum of Geyer. Wasliington Territory and Oregon to W. Montana ; the root much used by the Indians. There is one other imperfectly known allied acaulescent species in the same region, and probably more. ' •t- -1- Leaflets ovate, toothed or sometimes pinnatifid : fruit orbicular or eUipti- cal : glabrous. 7. P. EcRYPTERA, Gray. Low : leaves ternate ; leaflets broadly cordate, coarsely toothed, an inch long or less : fruit 5 lines in diameter, emarginate at each end, broadly winged ; 2 vittae on the commissure. — Proc. Am. Acad. 7. 348. Earyptera Incida, Nutt. ; Torrey, Bot. Mex. Bound, t. 27. 8. P. PARViFOLiUM, Torr. & Gray. Low, slender: leaves deltoid in outline, biternate, 2 inches long ; leaflets ovate, laciniately lobed and toothed or pinnati- OP ARTS AND SCIENCES. 143 teeth obsolete : fruit glabrous, broadly elliptical, three lines long, the wing half as broad as the body ; vittaj three in the intervals, four or six on the commissure. — P. nudicaule, Gray, Proc. Am. Acad. 8. 385. Collected in Northern Oregon by Hall (n. 211). ■^ Peucedanum Parryi. Acaulescent, glabrous : leaves lanceolate in outline, bipinnate, the short segments laciniately pinnatifid : peduncles six inches high : involucels small: tlowers yellow ; calyx-teeth evident: fruit oblong, glabrous, four lines long, narrowly winged ; ribs filiform ; vittee undetermined. — P. macrocarpum, Parry, Am. Naturalist, 9. 271. In Southern Utah, by Parry (u. 85). ^ Peucedanum Nevadense. Glaucous, puberulent, shortly caules- cent, the peduncles three to fifteen inches high : leaves compoundly dissected with small oblong segments : rays often unequal, an inch or two long : involucels small, of several linear-lanceolate bractlets, usually fid : calyx-teeth somewhat prominent: fruit about 8 lines long, broadly winged, scarcely eniarginate ; 4 vittae on the commissure. — Coast Rauges soutli of San Francisco. * 9. P. Hali-ii, Watson. See above. § 2. Leaves decompound ; segments narrowly linear ; petioles very broadly dilated : involucels conspicuous, of usually scariously margined bractlets : flowers yellow : calyx-teeth obsolete : fruit broadly elliptical, glabrous : caules- cent, puberulent. '^ 10. P. CARUiroLiuAi, Torr. & Gray. Shortly caulescent : leaf-segments h to 2 inches long : bractlets often lanceolate : fruit 3 or 4 lines long ; ribs obsolete ; vittffi indistinct, 2 or 3 in the intervals, none on the commissure. — P. margina- tum, Benth. Pi. Hartw. 312. Central California. ''' 11. P. DTRicoLATUM, Nutt. More caulescent: leaves more finely divided ; segments half an inch long or less : bractlets usually much dilated : fruit dis- tinctly ribbed ; vittaj broad, solitary in the intervals, 4 to 6 on the commissure. — Washington Territory and Idaho to S. California. '' § 3. Leaves ample, very finely dissected with short filiform segments : flowers yellow : involucels present : calyx-teeth obsolete : fruit glabrous. * Fruit orbicular or broadly elliptical : acaulescent. 12. P. FCENicuLACEUM, Nutt. Tomcutose, sometimes glabrous : involucels gamophyllous, 5-7-cleft : fruit 2 or 3 lines in diameter, winged ; ribs prominent ; vittje 1 to 3 in the intervals, 2 to 4 on the commissure. — From the Saskatcha- wan to Nebraska and the Indian Territory. / 13. P. MILLEFOLIUM, Watson. Glabrous, taller : involucels of distinct linear bractlets : fruit 4 or 5 lines long, 3 or 4 broad, broadly winged : vittffi solitary, 2 on the commissure. — Bot. King's Rep. 129. Northern Utah to Washington Territory. 144 PROCEEDINGS OF THE AMERICAN ACADEMY distinct : flowers white : calyx-teeth obsolete : fruit somewhat pubes- cent, rounded to ovate, three to five lines long, two to four wide ; ribs prominent ; vittfe two or three in the intervals (sometimes four in the lateral ones, perhaps sometimes solitary), four to six on the commis- sure. — P. nudicaule, Watson, Bot. King's Rep. 130, and others ; not Nutt. Eastward of the Sierra Nevada from N. E. California to Sonora and New Mexico. ^ Aralia Califorxica. Herbaceous, unarmed and nearly glabrous, eight to ten feet high, from a deep thickened root : leaves bipinnate, or the upper pinnate with one or two pairs of leaflets ; leaflets cordate- ovate, four to eight inches long, shortly acuminate, simply or doubly serrate with short acute teeth ; terminal leaflets ovate-lanceolate : umbels in loose terminal and axillary compound or simple racemose panicles, which are more or less glaudulur-tomeutose ; rays numerous, four to * * Fruit oblong : caulescent, glabrous. 14. P. BicoLOR, Watson, 1. c. Stem short ; peduncle elongated : rays few, very unequal : involucel of a few linear bractlets : fruit on short pedicels, 5 to 6 lines long, narrowing from near the base, narrowly winged ; ribs filiform ; vittae obscure. — Wahsatch Mountains. § 4. Leaves smaller, much or finely dissected with small segments : flowers yellow : involucels present : low, acaulescent. ^ 15. P. A'lLLOsuM, Nutt. More or less densely pubescent : leaves of very numerous crowded narrow segments : umbels dense in flower : involucels small : fruit oval, pubescent, 3 or 4 lines long ; vittae several in the intervals. — AY. Nevada to Nebraska and S. Utah." IG. P. Parrti, Watson. See above. § 5. Leaves much dissected with small segments : flowers white ; involucels present : usually low, somewhat caulescent or scarcely so, more or less pubes- cent. * Fruit glabrous, oblong or broadly elliptical ; vittae usually solitary. •'^ 17. P. MACROCARPUJr, Nutt. More or less pubescent : involucels conspicu- ous, somewhat foliaeeous : fruit 4 to 10 lines long, 2 or 3 wide; calyx-teeth evident ; ribs filiform ; vittse rarely 2 or 3 in the intervals, 2 to ^ on the commis- sure — Yar. ECRVCARPiTM, Gray. Fruit broader : leaves rather more coarsely divided. — Washington Territory to N. California and east to the Saskatclia- wan ; the variety from Oregon to the Sacramento. -^ 18. P. KUDiCAULE, Nutt. Nearly glabrous : involucels small : fruit elliptical, 2 or 3 lines long ; calj'x-teeth obsolete ; ribs prominent ; vittae always solitary, 2 to 4 on the commissure. — Nebraska and N. Colorado to Idaho. * * Fruit tomentose or puberulent, oval-orbicular ; vittae usually several in tlie intervals. OF ARTS AND SCIENCES. 14o six lines long; involucres of several linear bractlets : flowers a line and a half to two lines long ; disk and stylopodium obsolete ; styles united to the middle : fruit (still immature) a line and a half long. — North- ern California, in shaded mountain ravines and moist places. Much resembling A. racemosa, but with larger flowers and involucres, and fewer umbels, larger and with more numerous rays. y CoRNUS ToRiiEYi. A shrub : leaves obovate or oblanceolate,- abruptly acute or shortly acuminate, on rather long slender petioles, lighter colored and somewhat pubescent beneath with loose silky hairs : cyme loose and spreading : fruit white ; stone obovoid, somewhat com- pressed, acute at base, ridged on the edges, tubercled at the summit, two and a half to three and a half lines long. — Collected by Dr. Tor- rey in Central Calitbrnia, but locality not noted. It is very peculiar in the characters of the fruit. 19. P. DASYCARPUM, Torr. & Gray. Villous-tomentose : leaves finely dis- sected : invohicels of several linear to oval bractlets : fruit often acutish, tonien- tose, 4 to 7 lines long ; ribs prominent ; vittae usually 3 (rarely solitary) in the intervals, 4 on the commissure. — P. tomentosum, Benth. PI. Hartw. 312. Cali- fornia. 20. P. Nevadense, Watson. See above. Excluded Species. P. Newberrti, Watson, Am. Naturalist, 7. 301. Fine fruiting specimens of this were collected in Southern Utah by Dr. C. C. Parry. The wing of the fruit is found to have a thick corky margin, which requires the reference of the species to Ferula (Leptofcenia, Nutt.), a genus separated by only this character from Peucedanum. The habit of the plant is very uulike that of our other species of Ferula. TiEOEMANNiA TERETiFOLiA, DC, referred to Peucedanum by Benth. & Hook. As compared with our own species of Peucedanum, and without reference to foreign forms which may be included in it, this genus appears sufhciently well marked, differing in the distinct marginal nerve of the wings, in the prominent conical stylopodiura, in the presence of an involucre, and in the very remarkable habit. Archemora, DC, another small genus of the Atlantic States reduced to Peucedanum by the same authorities, though less distinctly marked than the last, may still conveniently be retained. It differs from the western species in its tall-stemmed erect aquatic habit, thick and short conical stylopodia with short spreading styles, the commissural vittae in part often shorter than the seed, and the habit of foliage and inflorescence somewhat peculiar. A. Feudleri, Gray, of New Me.xico and Colorado, is less clearly marked than the two more eastern species. VOL. XI. (n. S. III.) 10 146 PROCEEDINGS OF THE AMERICAN ACADEMY "''^ Atriplex Palmeri. Stout, shrubby at base, diffusely branched, a foot or two high, white appressed-scurfy : leaves obovate or ol)laiiceolate, rounded or acutish at the apex, attenuate to a short petiole, alternate, entire, a half to one and a half inches long: flowers dioecious, in close naked panicled spikes : calyx 5-cleft : bracts compressed, cuiieate- orbicular, free, the margin above the middle herbaceous and irregularly laciniately toothed, in fruit somewhat indurated and coavex, a line and a half broad, the sides rarely sparingly rauricate. — Collected by Dr. E. Palmer ou Guadalu|)e Island. Very nearly allied to A. Nattallii, Watson, of Colorado and northward. Brahka edulis, H. Wendland, in letter. Stem sometimes thirty feet high and fifteen inches in diameter : leaves flabelliform, to- mentose on the folded edges when young, three feet long, deeply parted into numerous (70 to 80) bifid segments which are lacerately fibrous at the apex ; petiole very stout (an inch broad at the top), unarmed, somewhat fibrous-pubescent on thc^upper side, and terminated by a densely silky-tomentose ligule two inches long : tubular spathes and much-branched spadix densely tomentose : flowers sessile, in clusters of three^or more, aline and a half long: calyx 3-parted, shorter than the thick valvate 3-cleft corolla : filaments broad, adnate below to the corolla-tube : ovaries oblong, nearly free ; the short styles united : berry solitary, globose, an inch in diameter when dry, the flesh some- what fibrous : seed globular, 7 or 8 lines in diameter, smooth : albumen horny, not ruminate, with a bi'oad and deep ventral cavity filled by the intruded testa ; embryo near the base. — On Guadalupe Island, col- lected by Dr. E. Palmer ; fruiting clusters four feet long and weighing 40 or 50 pounds. The characters above given differ from those of Brahea, as described and figured by Martins, especially in the peri- gynous instead of hypogynous stamens, in the less coherent ovaries and stigmas, and in the form of the albumen, which in Brahea has a narrow longitudinal cavity, filled by the testa, extending from the apex nearly to the base; the embryo is also dorsal. In most of these respects it accords more nearly with Livistona, but with some discrepancies in other directions. / Braiiea (?) AiniATA. A second species very similar in its fi-uit to the last, and evidently of the same genus, was recently collected by Dr. E. Palmer in the Big Caiion of the Tantillas Mountains, about eighty miles southeastward from San Diego. It is described as a tree forty feet high : the leaves are glaucous, nearly glabrous even when young, two and a half feet long, similarly cleft into fewer (30 to 40) entire segments; the large ligule glabrous; petiole a foot and a half long, OF ARTS AND SCIENCES. 147 somewhat brown-hairy on the upper side, margined with a continuous white thickene'd border which is irregularly toothed ; teeth approxi- mate, broad and thick, three or four lines long, pointing upward or often cleft and pointing both ways : fruit rather smaller. With this was found growing a third species, which from the foliage appears to be the same as the palm found in San Diego county, and recently introduced into cultivation under the name of '■'• Brahea Jila- meittosa." Its fruit, however, is very different from that of the preced- ing, much smaller, black and pulpy with a somewhat crustaceous integument, the seed very small (three lines long), and the albumen scarcely at all excavated. It is also peculiar in other respects. The tree is spoken of as taller and much more handsome than the last. "^ Cypripediuii occidentale. More or less roughly and glan- dular-pubescent, a foot and a half high, leafy, usually 2-flowered : leaves ovate, the uppermost broadly lanceolate, acuminate : the brownish narrowly lanceolate sepals and linear-lanceolate petals acuminate, nearly two inches long ; lip oblong, an inch long, dull white, veined with pur|)le : sterile stamen oblong-lanceolate, acute, yellow dotted with purple. — C. parvijiorum, Hook. Fl. Bor.-Am. 2. 205, in part, and Kevv Jour. Bot. 7. 376. C. passerinum, Gray, Proc. Am. Acad. 8. 403. In the mountains of California from Santa Cruz and Mariposa counties northward to the Columbia River. Frequently collected (Tolmie, Burke, Spalding, n. 334 Geyer, n. 513 Torrey, n; 513 Hall, Bolander, n. 970 Kellogg & Harford, Gray, Nevius), and very similar in habit to C. parvijiorum. '^ Cardamine Gambellii. Perennial, glabrous throughout, erect, a foot and a half high : leaflets four to six pairs, ovate-oblong to linear, sessile, entire or sparingly toothed, acute, three to twelve lines long : flowers white on slender pedicels : petals four lines long, twice longer than the calyx : pods narrowly linear, ascending, an inch long, equal- ling the strongly reflexed pedicel ; beak a line long, slender. — Col- lected by Gambell near Santa Barbara, and recently by Dr. J. T. Rothrock, of Lieut. G. M. AVheeler's Exploring Expedition, in the same locality. Resembling C. pratensis. A very similar form, but somewhat pubescent, has been found by Bourgeau near the city of Mexico. '^ Vauquelinia Torreyi. Shrub or small tree: leaves coriaceous, narrowly lanceolate, acuminate, acute at base and shortly petioled, acutely serrate, white-tomentose beneath, smooth above, pinnately nerved with reticulated veinlets. about an inch and a half long: flowers in small terminal tomentose panicles : petals white, oblong : stamens 25^ 148 PROCEEDINGS OF THE AMERICAN ACADEMY on the margin of the hairy disk ; filaments slender : fruit tomentose, two lines long; cells 2-seeded : seeds oblong, terminated above by a wing as long as the seed. — Spircea Calif ornica, Torr. in Emory's Rep. 140. V. cori/mbosa, Torr. in Bot. Mex. Bound. 64. On the Sierra Verde, near the southern boundary of Arizona, by Schott on the Mexican Boundary Survey, and probably the same as that collected previously by Emory on high mountains near the Gila. The original species, V. corymbosa, Cor- rea in Humb. & Bonpl. 1*1. G^quin. 1. 140, t. 40, from Central Mexico, differs according to the description and figure in its larger and more deeply serrate nearly glabrous leaves, which are on petioles as long as the blade and with numerous fine parallel nerves, in its calyx naked within, and its 15 to 20 stamens. The embryo in the present species is without albumen, the cotyledons flat, radicle straight and inferior. '' PoTEXTiLLA Wheeleri. Small and subalpine, decumbent, silky- villous : stems short, branched and flowering from near the base, leafy : leaves digitate, 3-5-foliolate ; leaflets cuneate, 3-5-toothed at the rounded summit, half an inch long or less ; stipules entire or nearly so : lower flowers axillary : calyx with obtusish bractlets a little smaller than the lobes : petals obcordate, nearly two lines long, slightly exceeding the calyx : stamens 20 : carpels 20 : styles filiform. — Collected by ' Dr. J. T. Rothrock, in the southern Sierra Nevada, about the head-waters of Kern River, at 8,200 feet altitude. "^ HoRKELiA PDKPURASCENS. Pubescent and somewhat villous, six inches high : leaflets numerous, approximate, 2-4-parted ; segments oblong to obovate, two or three lines long or less ; flowers few, rather large, in an open cyme : calyx purplish, about four lines long ; bractlets small and narrow : petals rose-colored, broadly cuneate-oblong, nearly equalling the calyx-lobes : stamens 20, in two rows ; the filaments opposite to the calyx-lobes and bractlets subulate, the alternate ones filiform : carpels 25, on a nearly naked receptacle. — Collected by Dr. J. T. Rothrock, on the head-waters of Kern River, at 9,000 feet alti- tude. An unmistakable Horkelia, but like H. trideniata intermediate between the typical species and those of Ivesia, leaving it almost im- possible to preserve the latter genus distinct. Specimens of H. triden- iata have been recently found with decidedly deltoid filaments, showing that this character may fail even to be specific. OF ARTS AND SCIENCES. 149 VII. SPECIMENS OF MILK FROM THE VICINITY OF BOSTON. By S. p. Shakples, S.B. Presented, Dec. 14, 1875. In 1873, Dr. Arthur H. Nichols of this city made a report to the State Board of Health in regard to adulteration of milk. In this report, certain analyses of milk made by Prof. J. F. Babcock were quoted : these specimens were seven in number, and of the following average composition : — Specific gravity * 1.033 Cream volume, per cent 8 to 9 Total solids, weight per cent 14.55 Sugar, weight per cent 5.08 Ash 86 Water 85.45 These samples were not selected, but were bought from regular deal- ers who were known to be honest. In view of the ftict that the 11.55 is much above the average amount of solids as given by most P2uropean chemists, it becomes a matter of interest to ascertain if the milk pro- duced in this vicinity is better than the average, or whether this was a mere accidental occurrence. During the last summer I had an opportunity of procuring from Stoneham some twenty specimens of milk. These were brought to me by my assistant, Arthur Steele, who was present during the milk- ing of the cows, and who asserts they were not tampered with in any manner. The milk was produced by cows belonging to different owners, the owner's name in each case being given in connection with the description of the cow. The method of analysis was as follows : — For specific gravity one hundred cubic centimetres of the milk were poured into a flask that held this amount of water at 15 °5 C, the temperature was observed by the thermometer, and the milk was cooled or warmed until it stood at 15 ^5 ; it was then weighed. This same portion of milk was placed in a graduated cylinder, and allowed 150 PROCEEDINGS OP THE AMERICAN ACADEMY to stand in a cool place until next morning, when the amount of cream was read off. A pipette was then introduced into the cylinder in such a manner that it reached to the bpttom of the vessel, and fifty centimetres were drawn oiF; this was weighed, and gave the specific gravity of the, skim milk. After weighing, the milk was poured into a beaker, one or two drops of acetic acid added, the milk gently wanned until it coagulated, and then allowed to cool again. It was then thrown on a filter, and the first fifty centimetres that ran through were weighed as before : this gave the specific gravity of the whey. These two last determinations were made because many authors assert that the specific gravity of skim milk and whey are much more constant than the specific gravity of whole milk. Von Baurahauer asserts in his monograph on Dutch cow's milk that he has been unable to obtain clear filtrates when th6 curd was precipitated with acetic acid. I have rarely found any difficulty on this score, when the precaution of heating the milk only a little hotter than from 40° to 50° C. was taken, provided the milk was allowed to become cold before it was filtered. If the milk is allowed to cool completely after coagulation, before it is filtered, it generally filters without any trouble ; but, if poured on the filter before it becomes cold, the fat fills the pores of the filter, and it is almost impossible to do any thing with it. Total Solids. Five cubic centimetres were poured into a tared platinum dish and weighed : this latter precaution is necessary, for a pipette cannot be relied upon to always deliver the same quantity of milk, as it will deliver more than enough of a poor milk and not enough of a rich one. This was evaporated to dryness on a water bath, and then dried for an hour in an oven at tlie temperature of 105° C. I found that treated in this way the weight became constant at the end of two and a half to three hours from the time the milk was placed on the bath. The dishes used have a considerable influence over this result. The size I found to work best were about 65 mm. in diameter and 15 mm. in depth, with the bottom almost perfectly flat, the sides being nearly perpendicular, the angle between the sides and the bottom being rounded. Five centimetres form a layer over the bottom of this dish but little more than 2 mm. thick. When dry, it does not greatly exceed one-eighth of this amount, and tlius forms a film that is very readily dried. Fat. After weighing, the dried film is treated with either benzine or ether, which in the course of an hour or two completely removes OF ARTS AND SCIENCES. 151 all the fat ; the benzine is decanted, a fresh portion poured on and allowed to stand half an hour ; this is poured off, the dish rinsed with a little fresh benzine, allowed to stand a few minutes until it has all evaporated, again dried in the air bath at 105°, and weighed ; the loss gives the fat. The residue remaining on the dish is of course the solids not fat. Ash. The dish is then ignited over a Bunsen burner, and again weighed, the residue in this case being the ash. With a dish of the size spoken of, all the carbon burns off quickly and readily, and leaves the ash perfectly white. The above determinations are all that are essential to determine the purity of a sample of milk, and, as will be seen, consume but little over 100 cc. of milk : 150 cc. are ample for the full analysis as followed. In order to determine the cheese and sugar, 25 cc. of milk were taken and diluted with about 50 cc. of water, the mixture was gently warmed, and a drop or two of acetic acid added with gentle stirring ; it was allowed to cool and then filtered on a weighed filter, and washed with about 200 cc. of cold water. The filtrate was made up to 5U0 cc, and this solution was titrated with a normal solution of cupric sulphate made by dissolving 34.65 grammes of crystallized cupric sulphate in 200 cc. of water, adding to this solution a solution made by dissolving 173 grammes of sodio-potassic tartrate in 480 cc. of caustic soda solution of 1.14 specific gravity. The whole is then made up to a litre; 10 cc. of this solution were then placed in a fiask diluted with 40 cc. of water, and brought to the boiling point ; the diluted whey was then allowed to flow into the solution until it no longer gave a brown color, when filtered, acidified with acetic acid and tested with potassic ferrocyanide. The following, table gives the per cent of milk sugar, when 25 cc. of the milk are taken, and the whey diluted to 500 cc. 10 cc. of the cop- per solution, which equals .067 grammes of milk sugar, are employed. PER CENT OF SUGAR. cc. of whoy ufied. 0 1 2 3 4 5 6 7 8 9 10 13 40 1217 1117 10.30 9 57 8.92 8.38 7.91 7.44 7.05 20 6.70 6.39 6.09 5 83 5 58 5 36 5.15 4 96 4.78 4.62 30 4.46 4 32 4.19 4.06 3.94 3.83 372 3.62 3 53 3.44 40 3.35 3.27 3.19 3.11 3 04 2.98 2.91 2 85 2.79 2 74 50 2.68 2.63 2 58 2..')3 2 48 2.44 2.39 2.35 2 31 2.27 60 2.23 2.19 2.16 2.13 2.09 2.06 2.03 2.00 1.97 1.94 73 191 188 1.86 1.84 1.81 1.79 1.76 1.74 1 72 1.69 80 1.67 1.65 163 1.61 1.59 1.57 1.56 154 1.52 1.51 90 1.49 147 146 1.44 1.43 1.41 1.39 1.38 1.37 1.35 103 1.34 1.32 1.31 1.30 1.29 1.28 126 1.25 124 1.23 152 PROCEEDINGS OF THE AMERICAN ACADEMY The curd remaining on the filter is removed from the funnel and placed on a watch glass, dried at 105", and weiglied ; it is then treated with benzine in a funnel which has a stopper in it, and is covered with a tight fitting watch glass ; one or two soakings serve to completely remove the fat. It is again dried and weighed. I have not as a rule found this determination of fat very satisfactory ; it is apt to be too liigh, from the great difficulty of drying the greasy curd and filter; after the fat is removed, the cat^eine is very easily dried. The object in this set of analysis being rather to endeavor to find a series of con- stants which might be relied upon for determining the question of adulteration, no further examination of the caseine was made for ash, but the portion remaining on the filter after the removal of the fat was regarded as pure caseine. In all my determinations, I found that there was invariably a discrepancy between the sums of the caseine, fat, sugar, and ash, and the total solids as determined by evapora- tion. This varied from .43 per cent to 1.92 per cent, with an average of .87 ; this is owing most likely to the albumen of the milk in part, which is not precipitated by the acetic acid at 4o°-o0° C, and in part to the solubility of the caseine in acetic acid. As will be seen from the table annexed, the sugar seems to be the most constant constitu- ent. The fat varies very much ; the specific gravity is not to be relied upon. Wanklin's test of solids not fat is departed from in a number of instances, and the total solids fall as low as 11.64, while according to the English authorities they should never in pure milk be below 9 per cent for the solids not fat, and 12 per cent for total solids. In summing up, I must call attention to the remarkably high aver- age of this inilk, 14.49 per cent of total solids, but .06 short of Pro- fessor Babcock's result, with three times the number of specimens which he examined. For purposes of comparison, I annex two other tables, one giving all the average results I have been able to collect up to the present time, and the other giving the extreme variations that have been observed. SPECIMENS EXAMINED. A. Milk supplied me by a resident of Cambridge, said to be pure Al- derney. B. Milk from an Alderney cow kept by Dr. James R. Nichols for the supply of his family. C. Grade cow, Ilerford and Ayrshire. Four years old, had been milking twelve weeks and gave sixteen quarts per day. Feed, OP ARTS AND SCIENCES. 153 » two quarts corn meal and four quarts shorts, with all the upland hay she would eat. D. Native cow, eight years old, had been milking three weeks, and gave eighteen quarts per day. Feed, three quarts of corn meal and three quarts of shorts, with hay ; same as C. E. Native cow, four years old, had been milking fourteen weeks, and gave eight quarts milk per day. Feed, one quart- meal, seven quarts shorts per day, with hay. F. Native cow, six years old, had been milking one week, gave six- teen quarts milk per day. Feed, six quarts shorts per day, and hay. Cows C, D, E, and F, were owned by John Steele of Stone- ham, and the milk was sold. G. Native cow, ten years old, had been milking six months, gave seven quarts per day. Feed, four quarts corn meal and meadow hay. H. Grade cow, half native, quarter Ayrshire, quarter Jersey, had been milking fifteen months, gave eight quarts milk per day. Feed, four quarts of corn meal and four quarts of shorts per day, with meadow hay. I. Native cow, four years old, had been milking twelve weeks, gave thirteen quarts of milk per day. P'eed, four quarts of corn meal and eight quarts of shorts per day, and meadow hay. J. Native cow, nine years old, had been milking seven and a half months, gave eleven quarts of milk per day. Feed, six quarts of meal and eight quarts of shorts and meadow hay. K. Native cow, nine years old, had been milking four months, gave fourteen quarts of milk per day. Feed, four quarts of meal and eight quarts of shorts and meadow hay. L. Native cow, five years old, had been milking five and one half months, gave eleven quarts of milk per day. Feed, four quarts of corn meal and eight quarts of shorts per day, and meadow hay. M. Native cow, seven years old, had been milking four months, gave fourteen quarts of milk per day. Feed, five quai-ts of corn meal and eight quarts of shorts per day, and meadow hay. N. Grade cow, half native, half Dutch, three years old, liad been milking two weeks, gave fourteen quarts of milk per day. Feed, two quarts meal, four quarts of shorts, and grass. Cows G to N were owned by Frank Steele of Stoneham, and the milk was sold. 154 PROCEEDINGS OF THE AMERICAN ACADEMY O. Native cow, five years old, had been milking ten weeks, gave five quarts of milk per day. Feed, one and a half quarts of meal per day and hay. The first sample of this cow's milk procured was of such an extraordinary character that two other samples were afterwards obtained: these did not equal the first, but were rather better than the average. The cow had been turned out to grass before the second was obtained. She was owned by AVilliam Buckman of Stoneham, and the milk was used at home. P. Native cow, eight years old, gave twelve quarts of milk per day. Feed, one quart of meal, grass and hay. Owned by C. S. Wdey. Q. Grade cow, native and Devon, nine j'ears old, had been milking seven weeks, gave nine quarts of milk per day. Feed, grass and hay. Owned by C. Wiley. A second sample of this milk was obtained a few days afterwards : it had improved somewhat. The cow had been kept in poor condition all winter, and had not had grass long enough at the time of the first trial to feel its beneficial effects. The milk was used at home. R. Native cow, eight years old, milking one week, gave sixteen quarts of milk per day. Feed, two quarts of shorts and grass. S. Jersey cow, five years old, milking six months, gave eight quarts of milk per day. Feed, one quart of meal and four quarts of shorts. R and S were owned by E. Thorpe of Stouehara, and the milk was sold. Si'. Gk. Crt^ain Cow- val. per cent. Ash. Caseine •Sugar. Fat. Total sulids. .SolMs not fat. Water. \VlioIe mUk. Skim milk. ■VVhey. A 1.030 16 .63 13.66 86.34 B 1.031 18 .65 3.40 5.29 6.62 1.0.96 934 84.04 C 1.033 1.031 6.5 .63 2.98 5.40 4.07 14.13 10.06 85.87 D 1033 1034 1.030 11 .72 3.01 5.19 4.10 13 87 9.77 86 13 K 1.031 1 0.30 1.029 9 .65 3.50 4 81 4.41 1.3.9S 9 57 86.02 F 1027 1.035 1.028 12 .67 338 4 47 6.01 14.99 8.9S 85.01 G 1 033 9 .71 4 00 4 99 3.95 15.37 11.42 84.(53 H 1.031 1.035 1031 11 .79 5.23 4.80 4.36 15.61 11.25 84.39 I 1.031 1.034 1.030 7 .64 3.46 4.64 4 23 14.18 9.85 85 82 J 1.032 1.0.34 1029 12 .74 4.49 4.63 5.95 16.26 10.31 83.74 K 1.029 1.030 1.028 9 .59 321 4.82 5.71 14.95 9 24 85.05 L 1.033 1.033 1.030 10 .64 3 00 4.80 4.04 14.05 10 01 85.95 M 1.030 1.029 1.028 4 .60 3 59 4.81 3 07 12.63 9.56 87.37 N 1.1 128 1.032 1.029 9.5 .64 4.38 13.81 9.43 86.19 ( 1.018 1.030 1.024 54 61 2.a5 5.06 1146 19.34 7.88 80 (iO 0 1.030 1.031 1.020 18 .65 2.91 5.09 1511 10 02 84.89 ( 1.028 1 029 1.026 12 .60 2.34 5.02 6.32 14.91 8 59 8509 P 1 028 1.031 1028 10 .66 2..57 5.21 4.11 1.3 43 9.32 86 57 Q 1 1.028 1.028 1.025 5 .57 2.25 4.82 2.71 11.64 8.93 8S.36 1 (t20 1.031 1.024 5 .61 2.67 5.11 4 08 1.3.03 8.94 86.91 R 1.033 1.034 1.026 5.5 .71 3.66 4.73 1.61 11 94 10.33 S 1.030 1.033 1.026 11 .74 3.58 5.11 5.09 15.88 10 19 84.12 Av'rages. 1.030 1.032 1.02T (12.0 10.0 .66 3.27 4.W 1 4.86 \4.53* 14.49 9.66 85.51 Highest. 1.0.33 1.035 1.031 54 .79 5.23 5.40 11.46 19 34 11.42 80.66 Lowest. 1.018 1.028 1.020 5 .57 2.25 4.47 161 1164 7.88 88.36 * Omitting the loth. OP ARTS AND SCIENCES. 155 SPECIMENS OF MILK SUSPECTED TO BE ADULTERATED. Whole milk. Cream val. per uent. Ash. Caselue. .Sugar. Fat. Total solids. Solids not fat. Water. 1.028 7 .51 3.33 11.42 8.09 88.58 1.023 7 .4.5 2.94 3.36 2 46 9 21 6.75 90.79 1.020 6 .4.5 3.11 3.37 2.26 9.19 6 93 90.81 1.021 7 .40 2.77 300 2.00 8.17 6.17 91.83 The last four specimens were all retailed by milk dealers in the vicinity of Boston, and well serve to indicate the danger of relying ou any single determination for deciding whether a milk is adulterated or not. Taking all the determinations as they stand, they leave no doubt as to the fact that the milk has been watered, yet any one determina- tion taken separately might be successfully disputed. The following table, recently compiled by myself from various sources, is of considerable interest in this connection, as showing the great variation in this most important product. It will be observed that the specimens from this vicinity head the list, while those re- ported by Mr. Vaughan of Providence, R. I., are not far behind, I think that this in part may be owing to the use of corn meal as feed, since this substance is well known as a butter or fat producer. J. F. Babcock . . Boston S P Sharpies . . . Boston Vernois & Becquerel France Goppelstoder . . . Switzerland H. W. Vaughan . . Khode Island Lebert Fiance Letheby England Playfair Scotland Phjpson England Chevalier .... France Wanklin England Cameron Ireland ■ Chevalier & Henry . France A. MuUer .... Sweden Boussingalt .... France Halden Chandler New York MacAdam .... England Voelcker England Von Baumhauer . . Holland No. of Solids. Not fat. specimens. 8 14.55 22 14.49 961 46 14,24 9.73 60 14.13 58 14.08 10.07 14.00 9.75 14 00 10.10 9 13.49 8.61 13.33 8.46 o 13 23 10.31 3 13 12 9.36 40 13.00 9.00 12.98 9.75 12.85 9.43 9 12.71 8.80 1270 9.70 1700 qts 12.55 8 72 66 12.27 9.69 22 12.10 9.15 162 11.30 8.45 4.13 486 4.99 5. .50 4.10 4.17 3.76 3.98 4.56 4.10 448 3.42 3.47 4.82 3.88 2.93 .88 .66 .65 .75 .75 .80 .55 .72 .00 .72 .25 .49 .76 .71 .83 .72 156 PROCEEDINGS OF THE AMERICAN ACADEMY The limits of variation as observed by some of the above observers were as follows : — Total Solids. Solids not Fat. Dr. Voelcker . . Highest. Lowest. Highest. Lowest. 14.00 9.30 988 7.51 Dr. MacAdam 15.54 10.57 1123 8.74 Von Baumbauer . 13.23 10.18 8.93 8.08 Vernois & Becquerel 19.68 11.70 10.56 7.73 Vaughan .... 16.96 12.85 11.14 8.79 Sharpies .... 19 34 11.64 11.42 7.88 It should be remarked, in this conuection, that Dr. Voelcker's results should be received with a good deal of caution, since he acknowledges the cows were half starved ; and, further, he refuses to give the methods employed in his analyses. Von Baumbauer, on the other hand, has given the fullest information in regard to the methods he employed, the feed of the cows, time milking, &c. The benzine used was the ordinary commercial article distilled from Pennsylvania petroleum of a specific gravity of about 70° B. Gaso- line of the specific gravity of 90° B. w'as at first used ; but it was found on trial that the heavier article was just as efficient in removing the fat, and that it left no residue on evaporation, while it was much safer to have in the laboratory. OF ARTS AND SCIENCES. 157 VIII. ON PORTABLE ASTRONOMICAL INSTRUMENTS AND THEIR USE. Bt Truman Henry Safford.* Presented, Oct. 12, 1875. In determining time, latitude, and the azimuth of a meridian-mark, which are the principal operations of geodetic astronomy, the only instrument now much used in America (besides the sextant) is the portable transit, with added apparatus for speedy reversal, and a mi- crometer for differences of zenith distance, according to Talcott's method. A portable transit so constructed affords a speedy deter- mination of all three elements mentioned above ; but its practical handling is a little difficult to an astronomer used only to large fixed instruments, and the determination is not always the most economical in time and labor of observation and reduction. The present paper is intended to give a few practical hints derived from actual experience with portable instruments of all grades, from an ancient transit by a forgotten maker, with an object-glass which would not come to a focus, up to the latest productions of the best workshops of America, England, and Russia. The beginner will do well to practise with an instrument which is not quite perfect : he thus learns in an exaggerated form all the faults to which instruments are liable. I need not describe these instruments, but will simply refer to Chauvenet's admirable Manual of Practical and Spherical Astrono-, my, also to the Report of the Coast Survey for 1866. I will suppose a latitude - and - longitude campaign to be planned. Tlie first matter to be settled is, what instruments are to be used? If the work be simply geographical, without special requirements of extreme precision, like the boundaries established by the United-States Land Office, and especially if the country be rough and transportation very difficult, a small transit instrument will suffice. I am inclined to 158 PROCEEDINGS OF THE AMERICAN ACADEMY think a focal length of 14 to 16 inches, and aperture of the ohject- ghiss of 1| inches, are the best dimensions. The frame should be rather light, but solidly put together; the setting circle plainly divided; the striding level delicate (2" to one division) ; and, above all, the ap- paratus for illuminating the field as perfect as can be made. Such an instrument ought to show a star of the sixth magnitude with full illumination, if the observer's eye be accustomed to not too bright a light, and especially if he use Mr. Rogers's rulings on glass in place of spider-lines : indeed, he will hardly ftiil to do so, for other reasons. The instrument of this size with which I am acquainted, belonging to the Canadian government, was planned as an alt- azimuth by Lindsay* Russell, Esq., Deputy Surveyor-General, and made by Simms of London. The star ). Ursie minoris of the 6.7 mag- nitude could be readily observed with it. It is not too heavy, with all the attachments, to be carried on a sti'ong man's back ; nor too large to accompany the observer in a sleeping-car. A somewhat larger tran- sit, by Temple of Boston, did excellent sei-vice on the south boundary of Wyoming. This has a two-inch aperture, a pretty long focal dis- tance, but a short axis and a light frame. It looks ill-proportioned, owing to the length of its telescope ; but has a very excellent object- glass. Its greatest fault is instability in collimation ; the telescope tube seems weakly put together ; and the mounting, as I used it, was unstable too, probably because it was fastened to a plank on a wooden post. To mount such an instrument away from civilization requires a good deal of trouble and expense. Brick is, of course, the best material for the foundation, but cannot always be obtained ; and, at one of my stations, the only two brick-masons in town were intoxicated, and the pier was built by a civil engineer who accompanied me, with a ser- geant of the United-States Engineers to mix the mortar. At Duluth the ground itself furnished rough stone in place. At Santa Fe an unfinished and abandoned state-house furnished a pier of cut stone. At Fort Union, the sun-dial of the fort, removing tlie gnomon, was an excellent pillar for the instrument. Chauvenet's suggestion to use a tree-stump is impractical, on account of the roots : the instrument is kept in constant tremor by persons walking about. When circumstances compel the use of a wooden jiost, great care must be taken to shield it from the sun, and the observations must be so distributed that the changes in azimuth and level are harmless. The level requires constant watching, but ought not to be changed during a group of stars, lest the azimuth be disturbed too. To elimi- OF ARTS AND SCIENCES. 159 nate changes in the latter, the groups of four or five stars must take but little time. All these things considered, it is best to use the ephemerides of 529 stars yearly published at Berlin, originally intended for the reduction of the great zones now in progress. I think it altogether likely that this will be eventually the standard time-list for astronomers gener- ally in this hemisphere : at any rate, these places will be kept accurate by continual observation for a good many years to come. They include all stars north of 10° of south declination down to the fourth magnitude, and a selected list of fainter ones to fill gaps. Many of these same stars are also given in the Connaissance des Temps, the Nautical Almanac, and the American Ephemeris ; but these latter have not quite enough of them for rapid work. To illustrate how azimuth and coUimation are to be determined and eliminated, I give a scheme of observations actually used at Pueblo, C. T., May II, 1873, by Lieut. E. H. Ruff'ner of the United- States Engineers. The scheme was, in general, agreed upon between him and myself. Star. Position of A. R. Decl. instrument. h. m. 8. 7 Ursas ma j oris . 11 47 10 +54°24' 0 Virginis . . . 58 45 9 26 4 H. Draconis . . 12 6 19 78 20 ■q Virginis . . . 13 26 0 2 6 Canum . . . 19 37 39 43 20 Conice . . . 23 22 21 36 K Draconis . . . 28 7 -f-70 29 7 Virginis . . . 35 15 — 0 45 e Ursffi ma j oris . i 48 29 +56 'iO On comparing this with other similar schemes, it will be noticed that here are no stars observed below the pole, and but one south of the equator ; in other words, all are as near the zenith as practicable. INIoreover, every pair of consecutive stars include the zenith between them (this is not absolutely essential, but yet very well), and hence give a definite value of the clock correction if the coUimation be known. My own scheme corresponding to the above was as follows : — 160 PROCEEDINGS OF THE AMERICAN ACADEMY Denver, May 11. 1 Star's name. Position of instrument. A.R. Decl. h. m. 8. 1 Ursae majoris . . I. 11 11 25 32°15' t Leonis .... I. 17 19 11 14 A Draoonis . . . I. 23 53 70 2 V Leonis . ... I. 30 28 — 0 7 3 l>raconis . . . I. 35 25 67 27 X Ursae majoris I. 39 22 48 29 y Ursce majoris 11. 47 10 54 24 0 Virjjinis . . . • 11. 58 45 9 26 4 H. Draconis . . II. 12 6 19 78 20 2 Canum . . . 11. 9 47 41 22 rj Virginis . . . II. 13 26 0 2 In determining latitude with an instrument of small size, Talcott's method is subject to some inconveniences, which may sometimes be better avoided by using Bessel's method ; that is, by establishing the transit in the prime vertical. But here the same principle (immediate elimination of azimuth error) ought to be carried out; that is, the same stars should not, in general, be used east and west of the meridian. Tliis process is Bes- sel's own, as distinguished from Struve's. I annex a scheme of observation (from the Report for 1873-74 Star's name. p Herculis . 6 Lacertae . 0 Andromedae 6 Herculis . ^ Anilroinedae 1 Andromedae C Lyrje . . 7j Lyrae . . ju Andromedae 9 Lyraj .' . 7 Cygni . . T Andromedae V Andromedte V Cygni . . 75 C^ygni . y Andromedae 16 Persei -L ^^ • » dtt -^ = [ — tan CO sin o — sm a cos oj-jr — cos a sm o — ^^ _ [15 at/' -}- a' c' tan d-^loa'd'] sin 1" d'T' -dt= - sm « sm 5 ^ -\- —cos 5] sin 1" sin a ?>m 8 -yr -\- cos « cos 5 t- = [15 ah' sin 5 a '2 In computing the probable error of the latitude determinations, I should proceed as follows : — The stars should be classified, and the probable error of the cata- logue declination of each class estimated, as suggested above. The comparison of observations of the same pair will give the probable error of observation. The mean reciprocal of the number of observa- tions on each pair should be taken : its reciprocal will give the average weight of a pair as depending on this circumstance only. The pairs should now be classified by computing the probable error to be expected, owing to both causes : those pairs which are once or twice observed, or whose stars are both doubtful (Class C), will give a large a priori probable error. These probable errors should now be compared with the actual ones, to ascertain if any error constant to OP ARTS AND SCIENCES. 169 each pair exists ; which ought not to be, but is often. The weights to each pair being now roughly assigned, the observations should be treated by least squares (if they can be improved in this way), con- sidering the latitude and the value of one micrometer revolution as the unknown quantities. A weak point in the zenith telescope is the connection of the level readings with the actual position of the vertical axis ; arising from the fact that the level has to be much handled, and to be tilted in observing. It might be well, therefore, to employ the delicate level only for the reading off, and have a separate rougher one for the setting circle ; placing the former in direct connection with the vertical axis. The instrument ought to be so constructed, that the two delicate levels used for time and latitude respectively could replace one another ; saving one spare level, or else diminishing the chance of loss from their breakage. Some of the earliest as well as of the latest meridian and equal altitude instruments are reversed by a machine, instead of being turned around a vertical axis. I think this is an improvement in solidity, if not in rapidity of observing. I will give, as an example of a method of discussing latitude obser- vations, the latitude of Colorado Springs as observed by Dr. Kampf. (See Lieut. Wheeler's Report on Cheyenne and Coloi'ado Springs, pp. 70fF.) The stars are taken either from my catalogue of 981 stars, or computed by myself on similar principles : the quantities /i(J) are here added from a completer discussion of the declinations than given in the Report. PAIRS ONCE OBSERVED. Pairs A (j> Class of Probable error. Probable error. No. stars. (1) (2) 1 +0"76 38°49'4.3"21 BA l-0"49 4 41. 22 AB 1::0.49 8 +0.90 40. 59 AB to. 49 9 —0.20 41.22 BA to. 49 10 —0. 20 40.84 AB to. 49 11 4-0.25 40.05 AA [-0.46 12 40.08 CA to. 57 13 —1.68 1 41. 23 AB Mej to. 49 -J-0'/60 lean 41. 06 m ±0"50 All these observations except those of pair 4 were taken on one day, August 2d, on which a constant difference of about — 0".7 from the final 170 PROCEEDINGS OF THE AMERICAN ACADEMY result is exhibited, save for the first pair. The probable errors (1) are derived from the estimated values as derived from the separate stars, and the probable erx'or of one observation ±0"428 as given by Dr. Kampf. PAIRS TWICE OBSERVED. Pairs A (p •^ Class of Probable error. Probable error. No. stars. (1) (2) 2 — 0"76 38°49'41'/60 AC 0"48 3 — 0. 15 41.29 AA 0.35 5 + 1.18 41.38 AB 0.39 6 + 0.24 41.04 AA 0.35 7 + 0.09 40.90 AA 0.35 14 + 0.25 41.00 BC 0.45 15 41.36 AC 0.48 16 — 0.05 43.04 CA 0.48 17 — 0.40 41.41 AA 0.35 18 + 0. 25 41.56 CB 0.45 19 + 0.43 41.75 CA 0.48 20 41.42 BA 0.39 21 41. 25 AA 0.35 22 — 0. 10 41.72 AC 0.48 23 + 0. 45 41.67 AC 0.48 24 — 0.24 41.17 BA 0.39 49 — 0. 10 41.92 AB 0.39 60 0.00 42.52 AA 0.35 i0''323 Mean 41.56 Mea n -1-0.42 PAIRS THREE TO SIX TIMES OBSERVED. AVERAGE NUMBER, FOUR.* Pairs A (j)

Class of stars. Probable error. (1) Probable error. (2) 36 38°59'42'/00 BB ±0''37 37 — o/a9 42.62 AA ±0.27 38 — 0.14 42.31 AA ±0.27 39 + 0.08 41.84 AB ±0.33 40 + 0.08 41.06 AC ±0.43 41 — 0.46 41.60 AA ±0.27 42 — 0.46 41.27 AA ±0.27 43 — 0.29 41.35 BA ±0.33 44 45 0. 0. 42.69 42. 46 AA BC ± 0. 27 ±0.46 46 — 0.38 40.78 BA ±0.33 47 — 0.91 40.92 BA ±0.33 48 — 0.91 40.12 CA ±0.43 51 + 0,38 40.99 AA ±0.27 ±0.527 38 59 41 63 ±0.357 Classifying according to magnitude of probable error (1),— Class (a). All stars AA more than once observed. All stars AB more than twice observed. 20 pairs of class (a) 38°59'41''61 PEoflpair(l) ±0.31 (2) ±0.468 Class ifi). All stars AB twice observed. All stars BB more than twice observed. 8 pairs of class (j8) 38«'59'41"41 PEoflpair(l) ±0.38 (2) ±0.28 Class (7) All stars once observed 38°59'4F'46 All stars AC, BC. 23 pairs of class (7) PEoflpair(l) ±0.46 (2) ±0.606 172 PROCEEDINGS OF THE AMERICAN ACADEMY The probable errors (1) and (2) do not agree very well, owing to the small number of observations ; but those denoted by (2) are the larger, upon the whole, owing to errors constant either for all the ob- servations of a night, or upon a pair of stars. The three results will be thus : — Probable Error. (1) (2) Class (o) » (7) 38°59'41''61 41.41 41.46 U 0"069 10.134 : 0. 096 r -0"101 : 0. 099 : 0. 126 I think no considerable uncertainty will be left if the stars of Class (|S) have a weight of | each, and those of Class (/) ^ each. This will give the total probable error for weight 1, a thoroughly good pair suf- ficiently observed ; as, — (1) (2) From Class (a) » » (7) z - 0"31 10.33 10.83 4- 0'46 -1-0.24 ±0.43 ±0.41 20 pairs. 8 „ 23 „ 51 „ Mean - to. 32 and the final latitude 3S°59'41"47 ±0"067 including errors of all kinds. The latitude is manifestly determined with all the precision neces- sary for an arc of the meridian ; the instrument being of the largest class, the observer ezcellent, and the star-places the result of a careful investigation. OF ARTS AND SCIENCES. 173 TABLE I. Decl. Log. C^co Log. Cw C-ft) C« (O 0° 0.0000 0.0000 1.000 1.000 1.000 2 0.0003 0.0000 1.001 1.000 0.999 4 0.0010 0.0000 1.002 1.000 0.998 6 0.0024 0.0000 1.005 1.000 0.995 8 0.0042 0.0000 1.010 1.000 0.990 10 0.0066 9.9999 1.015 1.000 0.985 12 0.0095 9.9999 1.022 1.000 0.978 14 0.0129 9.9998 1.030 1.000 0.970 16 0.0168 9.9997 1.040 0.999 0.961 18 0.0212 9.9995 1.050 0.999 0.950 20 0.0262 9.9992 1.062 0.998 0.938 22 0.0316 9.9988 1.075 0.997 0.925 24 0.0375 9.9982 1.090 0.996 0.910 26 0.0439 9.9975 1.106 0.994 0.894 28 0.0507 9.9966 1.124 0.992 0.876 30 0.0580 9.9955 1.143 0.990 0.857 32 0.0657 9.9941 1.163 0.987 0.837 34 0.0738 9.9924 1.185 0.983 0.815 36 0.0824 9.9903 1.209 0.978 0.791 38 0.0912 9.9878 1.234 0.972 0.766 40 0.1005 9.9848 1.260 0.965 0.740 42 0.1101 9.9811 1.288 0.958 0.712 44 0.1199 9.9769 1.318 0.948 0.682 46 0.1300 9.9718 1.349 0.937 0.651 48 0.1403 9.9658 1.381 0.924 0.619 50 0.1508 9.9589 1.415 0.910 0.585 52 0.1614 9.9508 1-450 0.893 0.550 54 0.1722 9.9414 1.486 0.874 0.514 56 0.1829 9.9304 1.524 0.852 0.476 58 0.1936 9.9178 • 1.562 0.827 0.439 60 0.2041 9.9031 1.600 0.800 0.400 62 0.2145 9.8861 1.639 0.769 0.361 64 0.2247 9.8665 1.678 0.734 0.322 66 0.2346 9.8439 1.716 0.698 0.284 68 0.2440 9.8176 1.754 0.657 0.246 70 0.2530 9.7870 1.791 0.612 0.209 72 0.2614 9.7514 1.826 0.564 0.174 74 0.2692 9.7096 1.859 0.512 0.141 76 0.2763 9.6600 1.889 0.457 0.111 78 0.2826 9.6005 1.917 0.399 0.083 80 0.2881 9.5278 1.941 0.337 0.059 82 0.2927 9.4363 1.962 0.273 0.038 84 0.2963 9.3155 1.978 0.207. 0.022 86 0.2989 9.1425 1.990 0.139 0 010 88 0.3005 8.8433 1.998 0.070 0.002 90 0.3010 2.000 0.000 0.000 174 PROCEEDINGS OF THE AMERICAN ACADEMY IX. ON SOME PHYSICAL OBSERVATIONS OF THE PLANET SATURN. Bt L. Trouvelot. Read by William A. Rogers, Dec. 14, 1875. During the last four years I have had many occasions to observe the planet Saturn, and to study its physical constitution under very favorable circumstances. My series of observations extends over more than a hundred nights, many of which were as good as could possibly be desired, both for the steadiness of the image, and for the amount of light. The observations on which this communication is based were made : 1". With the fifteen-inch refractor of the Harvard College Observatory, while I was employed by Professor Winlock in making the sketches for the series of the astronomical engravings published by him. By his kind permission I have availed myself of considerable of the data thus obtained. 2°. With the twenty-six-inch refractor of the Wash- ington Observatory while it was still in the hands of Messrs. Alvan Clark & Sons. 3°. With the six-and-one-quarter-inch refractor of my own Physical Observatory at Cambridge. During the past summer, I was honored with an invitation from Admiral C. H. Davis, Superin- tendent of the Naval Observatory, to visit Washington and make some sketches with the njagnificent instrument of this establishment. I thus had an excellent opportunity to confirm all my previous observations. The powers used ranged, according to the amount of light and the steadiness of the atmosphere, from 140 to 700. On good nights, however, higher powers have been tried, but never with advantage, as the light lost by the use of high powers is generally of more impor- tance for good vision than a superior enlargement with a reduced amount of light. OF ARTS AND SCIENCES. 175 Numerous observers, among whom are such eminent astronomers as Sir William and Sir John Herschel, Otto Struve, Daws, Bond, &c., have made careful studies of this planet ; and it is not, therefore, to be expected that very important discoveries remain to be made by later observers. As I have had the opportunity of observing with the same instrument rfiany of the celestial objects previously studied with so much success by Professor George P. Bond, it gives me the greatest pleasure to express my admiration for the accuracy and fidelity.of his observations. The following diagram, representing the outlines of Saturn and its rings, will facilitate my explanations, and give clearness to the sub- ject : — Fig. 1. By looking at the rings, attention is at once attracted to a con- spicuous dark line, apparently concentric with the outer margin of the rings, and boldly surrounding the planet, and adorning it by its sharp contrast. This dark line is known as " the principal division of the rings," and is shown at «, Fig. 1. Owing to the effect of perspective, it always appears widest at the two extremities of its major axis, on that portion called " the ansne," as there only, it is seen without fore- shortening. I have carefully compared the intensity of this dark line with the sky outside of the rings, and inside of the ansse ; and I have always found it to be slightly lighter. All my observations also agree in showing this line as appearing a little narrower on the side farther from the observer, at c, Fig. 1, than it appears on the opposite side, at d. This phenomenon could readily be explained by supposing that the outside margin of the ring (7 is on a plane higher than the ring By 176 PROCEEDINGS OF THE AMERICAN ACADEMY and may, consequently, conceal a narrow portion of the dark line. The assumption of such an hypothesis seems to be fully supported by the observations, as will be shown hereafter. It is furthermore to b© remarked, that the outside margin of the ring G has always appeared to me to be more sharply defined on that part of the ellipse farther from the observer than on the side nearest. The case is the same for the outer border of the ring A^ which appears sharper on its northern than on its southern side. In both cases, the northern portion of the ellipse is limited by the matter composing the surface of the rings on their flat and illuminated side; while for the southern portion it is seen a little edgeways, and this may account for the vagueness of its outlines on this side. Soon after the beginning of my observations, in October, 1872, my attention was called to a singular appearance not heretofore noticed, as far as I ara aware. Two small, dark, angular forms, r. Fig. 1, were seen near the summit of the principal division of the rings on the fol- lowing side, and apparently projected upon the ring B. After an interval of three hours, no sensible change could be detected in the position of these forms ; and on the following day they were seea Fig. 2. occupying about the same position. This phenomenon could easily be explained by supposing there were some sort of protuberances on the external edge of the ring C, casting their shadow under the oblique rays of the sun, which occupied then a proper position to answer to this OF ARTS AND SCIENCES. 177 hypothesis. But, some days later, another of these singular forms was observed 180° from the first, on the preceding side, ats. This at once overthrew the supposition that they were shadows cast by protuber- ances existing on the ring G ; since in this case the shadows would have been projected opposite the sun on the ring (7, and not on the ring B. Since that time, I have rarely observed the planet without seeing some of these singular appearances, either on one side or the other, but generally on both sides. The number of these dark forms is variable. One, two, three, four, and even five, have been seen at the same moment, and on the same side. Though these forms are variable, and appear and disappear, I have never been able to detect in one night any change of position which could be ascribed to the rotation of the rings. The most plausible explanation of the phenomenon which I can con- ceive is, that the inner margin of the ring B, which forms the outer limit of the principal division, is irregular, jagged, and deeply indented, as shown at A, Fig. 2, which represents Saturn as it would appear to an observer placed above one of its poles. As Bond speaks of the principal division of the rings as " not being perfectly elliptical," and as in one instance he has suspected that it " was narrower in some places," it is to be inferred that he had some faint glimpses of the phenomenon which I have observed, and which possibly may be more conspicuous now than twenty years ago. But the fact that this phenomenon has not been observed earlier does not necessarily prove that it had no existence before ; as it is well known, by those who have had experience with the telescope, that one may look for a long while at a celestial object, and miss perceiving what he will readily see when once he is told where to look, and what to look for. Seeing what is new and unsuspected is quite different from seeing what has been observed before. Though no noticeable changes in the position of the dark angular forms C(juld be observed in the course of two or three hours, it does not follow that the system of rings does not rotate upon an axis, as theory indicates ; since the supposed indentations seen on the ansae would bo placed in the most unfavorable position for showing their motion, if they have any, because it would be accomplished almost in a line with the visual ray, either approaching or receding from the observer. Next to this division, but much less conspicuous, and to be seen only on very good nights, is a narrow, grayish, and somewhat diffused line, called " the pencil line," shown at b, Fig. 1. I have never been able to trace this line all around the planet, as it diminishes very rapidly VOL. XI. (N. S. III.) 12 178 PROCEEDINGS OF THE AMERICAN ACADEMY with the foreshortening, and is soon lost. Probably I have never traced it more than 30° or 40° on each side of the major axis of the rings. The pencil line has never appeared to me black and well defined, but rather grayish and diffused. Sometimes I have had the impression that it was irregular in width and in depth of tint. These two lines are the only ones I have observed, which could, with a certain amount of probability, be said to be a separation of the rings ; thougli they might just as well be depressions, or dark belts, especially the outer one. But the fact tiiat they have been observed ou both sur- faces north and south, apparently corresponding in position, is in favor of their being real separations of the rings. Though I have repeatedly endeavored to see the planet through the principal division between d and e, Fig. 1, I have never seen the faintest traces of it; and I am not aware that others have been more successful. If the principal division of the rings is, in fact, what it is said to be, — viz., a space free from matter, and entirely disconnecting the rings B and C, — I do not see why the planet has never been seen through it. If the planet could be seen through that space, the dark line forming the principal division would be invisible from d to e, as the bright light of the planet would shine through in its place, and be undistinguishable from that of the rings. It may be objected that the invisibility of the planet through the principal division is due to the thickness of the ring G ; but, in this case, why should the black sky be seen, if the planet is invisible ? Besides the two dark gaps or divisions of which I have just spoken, the rings are subdivided by concentric zones or belts, which reflect light of different hues and intensity. Though only three of these belts are conspicuous, I have found by careful examination that there are six which I can always recognize whenever the illumination is good, and the image steady. These zones are represented on the diagram. Fig. 1, at A^ B, C, D, E, F. On several occasions, I have had a pretty dis- tinct impression of seeing the whole surface, from 0 to B inclusive, grooved, as it were, by numerous narrow concentric belts. These ira- pressiono may have been illusory, as they were almost instantaneous ; but I have since learned by experience, that, after all, rapid impressions arc not so much to be discarded, as, quite often, even more fugitive impressions have proved in the end to be real. A striking instance in my own experience may be worth recording. This Summer I made a study of the Horse-shoe Nebula in Sagittarius with my 6|-inch refractor. During the course of my observations, I was much annoyed by what appeared to me as faint ghost-like reticulated OF ARTS AND SCIENCES. 179 shadows projected upon the nebula. I at first thought I had loft the reticule of squares ruled on glass in the eye-piece ; but having convinced myself that this was not so, and the same appearance again presenting itself, I wiped my eye, but with no better result. As I experienced the same thing on other nights, I paid no more attention to it, thinking the trouble was in my sight. Some time afterwards, while in Washington, I had an opportunity of studying the same nebula with the great twenty-six-inch refractor of the Naval Observatory. I was not .a little surprised to see that the ghost-like reticule which I wanted so much to rub out of my eye while at home, was caused by dark channels in the nebula itself, which is divided on the preceding side by bright luminous patches, separated by dark intervals. In order of brightness, the zones or belts composing the system of rings run as follows : (7, Z>, B, E, A, F ; G being by far the brightest, and i^by far the darkest. The zones A and B have a bluish cast, or light slate-color; (7 is of a bright luminous white; D is slightly gray- ish ; jE^ is at little darker ; while F, which is very dark, is tinged with bluish purple. A is separated from B by the pencil line ; B from C by the principal division ; while the others do not show any separation whatever, and are only limited by the contrast of their different colors and shades, and seem to be in immediate contact. However, the different zones do not terminate abruptly where they come in contact, but seem somewhat blended into each other. This is especially the case between E and F. Though at that point the contrast between the two internal rings is very great, yet it is impossible to see any line of division, so much do they mingle at their point of contact. On good nights, I have often observed on that part of the rings A, B, and C, seen on the ansse, an unmistakable mottled or cloudy appearance such as is represented on Plate 1. This appearance was always more characteristic and better seen on the i-ing (7, especially near its outer margin, close to the principal division. It would seem, as has been already remarked, that the ring C is on a higher level than that of the rest of tlie rings, and that the cloudy appearances observed there form by their accumulation some kind of protuberances of different heights and breadths. The bright spots resembling satellites, so often observed by Bond in 1848, when the plane of the rings was parallel with that of the ecliptic, were probably caused by the crests of some protuber- ances similar to those now seen on the ansfe. The form of the shadow thrown by the planet on the rings on Nov. 30, 1874, as shown at x, Fig. 1, seems also to agree with this hypothesis. The curious and deep 180 PROCEEDINGS OF THE AMERICAN ACADEMY indentation of the shadow at x, in that part where it is projected on the outer border of the ring C, is perfectly explained on the supposition that this part of the ring is on a higher level. The same shadow, as it appeared projected on the rings B and A, also clearly indicates that the plane of these zones is on a lower level. In order to find the shape of the surface of the rings from the obser- vation of the form of the shadow thrown by the planet, I have experi- mented on a miniature representation of Saturn, illuminated by a lamp occupying the position of the sun, while my eye occupied the position of the earth. By successive trials in altering the shape of the minia- ture rings, I have soon found what must be the form of the rings in order to give to the shadow the same appearance which had been observed on the planet ; and the result agrees with the explanation already given. From the form of the shadow as it has appeared at different times during the last four years, and from the experiment just mentioned, it seems pretty clear to me, that, from the inner margin of the dusky ring jP, the thickness gradually increases until it reaches the extreme border of the ring C, where it gently decreases, as indicated by the rounding of the shadow at this point ; after which it sinks perpendicularly down, until it comes even with the general level of the rings B and A. The slightly curved appearance of the shadow of the planet during the present year, with its concavity turned towards its globe, also supports this hypothesis. Though, in general, the level of the ring C is always higher than that of the rest of the system, it does not seem, however, to be uni- form and permanent, but varies, either by the rotation of the rings upon an axis, or by some local changes in the cloud-forms themselves ; as in several instances I have observed quite rapid and striking changes taking place during the course of one evening in the indentation of the shadow shown at x. Fig. 1. Sometimes the indentation appeared to increase, indicating a higher level ; and sometimes to decrease, indicat- ing a lower level. That the thickness of the rings is increasing from the interior margin of the dusky ring to the outer border of tlie bright ring C, seems to be corroborated by the phenomena which I have observed on the dusky ring, and of which I shall speak presently. On all favorable occasions, I have made careful searches on the dusky ring for the divisions suspected by Bond ; but I never had the faintest glimpses of them. The dnsky ring appears to me to be continuous, though it is certainly not of the same thickness throughout. Whatever OF ARTS AND SCIENCES. 181 may be the material of which this ring is composed, it is quite rarefied ; and it becomes more and more so as it approaches its inner margin. There, it seems to be composed of discrete particles, each of which reflects the light separately ; and, by applying high powers to telescopes of large aperture, I have had the impression that the supposed par- ticles were more widely separated by the increase of magnifying power. I do not pretend to have seen distinct and isolated particles in the dusky ring ; but by instants my impressions have been so decided, that it seemed as if only a little more favorable conditions were required to enable me to see separate corpuscles of matter. The appearance was somewhat like fine particles of dust floating in a ray of light traversing a dark chamber. The inner border of the dusky ring, notwitlistanding its dark ap- pearance, is sharply defined on the dark sky within the ansne ; but it loses this sharpness of outline in that part which is seen projected upon the disk of the planet. There it appears very diffused and ill defined. The inner border of the dusky ring, as seen within the ansae, forms a part of a perfect ellipse concentric with the other rings ; but these graceful curves are remarkably and quite abruptly distorted where they enter upon the disk of the planet at m audjt). Fig. 1. At these points, they are seen turning up rapidly, describing a short curve ; after which they continue parallel with the curves of the other rings until they meet at h. If the ellipse described within the ansae should cross the planet without any defiection, it would be seen along the dotted line, Fig. 1, and pass through n; while, on the contrary, it is seen above at h. I was quite surprised, at first, by this singular phenomenon ; but I at last satisfied myself with the following explanation : If we conceive the dusky ring to be made up either of vapors or of numerous small inde- pendent solid bodies, and, moreover, if we conceive the thickness of this ring as increasing from its interior margin to its outer limit, we shall have an easy explanation of the observed phenomena. When the matter composing this ring, whether solid or gaseous, is seen pro- jected upon the disk of the planet brilliantly illuminated, it will be lost, and will individually disappear, absorbed by the irradiation of the bright light surrounding it, and it will remain visible only at that part where it forms a stratum thick enough to overpower the eflfect of irradiation. The fact that the distortion of the inner margin of the dusky ring is not abrupt at w and p, where it enters upon the disk, but i? gradual^ 182 PROCEEDINGS OF THE AMERICAN ACADEMY seems to prove that the planet is less luminous on its border than else- where, providing the above explanation holds good ; and this may be owing to the absorption caused by an atmosphere surrounding the planet. Bond has represented the limb of the globe of Saturn as seen through the whole width of tlie dusky ring. In this he agrees with all pre- vious observers. All the drawings of Saturn represent the limb of this planet as plainly and equally visible throughout the dusky ring, becom- ing invisible only where it enters under the internal margin of the ring E. In Bond's memoir, it is positively stated that Mr. Tuttle saw the limb of the planet through the whole width of the dusky ring. If these observations are correct, — as without doubt they are, — the solid particles, vapors or gases, composing this ring, must have undergone some changes of position since Bond's time ; as by using the same instrument, and even one of almost double the aperture, I have not been able to confirm these observations. During the last four years, I have never been able to see the limb of the planet Saturn under the dusky ring, beyond the middle of its width. As it enters under it at m and p, it remains quite distinct for a short distance : but, as it advances farther in, it diminishes gradually ; and it entirely vanishes at about the middle, at u and v ; as if the matter composing the dusky ring was more dense or thicker towards its outer border. This observation has been so carefully made, and so many times repeated, the phenomenon has been so distinctly seen, that there is not the least doubt in my mind as to its reality. Therefore it seems pretty certain that changes have lately taken place in the distribution of the matter composing the dusky ring. As already shown, the substance composing the dusky ring does not seem to be uniformly distributed ; but seems moreover to be agglome- rated here and there into denser masses, which I have often recognized upon that part of the dusky ring crossing the planet between u and V. These supposed agglomerations appeared as dark masses, inter- cepting the light of the planet. This phenomenon could not be attrib- uted to dark markings on the planet, seen througli the dusky ring ; since there are no markings so dark and so small on Saturn. Neither could they be produced by the dark bands sometimes surrounding the globe of Saturn, as some traces would have been detected on the edge of the dusky ring, since these bands are usually wider than the trans- parent part of the dusky ring. Of the planet itself I have little to say. It has certainly a mottled or cloudy appearance, like Jupiter. The clouds of Saturn are more OF ARTS AND SCIENCES. • 183 finely divided, like certain forms of the cirri clouds of our own atmos- phere. The cloudy appearance of Saturn, of course, is not so easily seen as that of Jupiter. It always requires a good steady night to see it. I have never seen the planet striped with a large number of parallel bands, such as some ob-ervers have described. Three or four form the extreme limit. Nor have I seen the bands so conspicuously marked, so regular, so distinct in outline, and so dark ; the equatorial band being always by far the most conspicuous, while the others were barely perceptible. The equatorial belt has always appeared to me to be slightly tinged with a delicate carmine red, very much like the equa- torial belt of Jupiter ; only the pink color of the former is much fainter. In no instance could I compare the color of this band to " brick red," as it is commonly described. Like the equatorial belt of Jupiter, that of Saturn is variable in width, and changes its form as well as its position. It is usually com- posed of two grayish irregular bands, forming its limits north and south, between which are seen flocculent pinkish cloud-forms. Tlie general color of the planet differs from that of the rings, in being of a slight warm brown in which there is a yellowish tinge. The contrast of color with the rings is better seen by the use of very high powers. To conclude: my observations show, — I. That the inner margin of the ring B, limiting the outer border of the principal division, has shown on the ansae some singular dark angular forms ; which may be attributed to an irregular and jagged conformation of the inner border of the ring B, either permanent or temporary. II. That the surface of the rings A, B and C, has shown a mottled or cloudy appearance on the ans^e during the last four years. III. That the thickness of the system of rings is increasing from the inner margin of the dusky ring to the outer border of the ring C, as proved by the form of the shadow of the planet thrown upon the rings. IV. That the cloud-forms seen near the outer border of the ring O attain different heights, and change their relative position, either by the rotation of the rings upon an axis, or by some local cause ; as indicated by the rapid changes in the inden- tation of the shadow of the planet. 184 PROCEEDINGS OF THE AMERICAN ACADEMY V. That the inner portion of the dusky ring disappears in the light of the planet at that part which is projected upon its disk. VI. That the planet is less luminous near its limb than in the more central parts, the light diminishing gradually in approaching the border. VII. That the dusky ring is not transparent throughout, contrary to all the observations made hitherto ; and that it grows more dense as it recedes from the planet ; so that, at about the middle of its width, the limb of the planet ceases entirely to be seen through it. VIII. And, finally, that the matter composing the dusky ring is asiilomerated here and there into small masses, which almost totally prevent the light of the planet from reaching the eye of the observer. Cambridge, Dec. 1, 1875. ' C/5 > H c: XI OF ARTS AND SCIENCES. 185 X. THE COMPANIONS OF PROCYON. [Communicated by Rear-Admiral C. H. Davis, Superintendent of the Naval Ohser- vatori], Washinijton.] Bead, Feb. 9, 1876. The discovery in 1862, by IMr. Alvan G. Clark, of a companion of Sirius very near the place indicated by the theory proposed by Bessel to account for the variable proper motion of this star, naturally led astronomers to an examination of Procyon, a star which also has a variable proper motion. On March 19, 1873, a companion of Procyon was discovered by JNIr. Otto Struve, Director of the Pulkowa Observa- tory, near the place indicated by the theory of Professor Anwers. As soon as the 26-inch refractor of the Naval Observatory was ready for use, Professors Newcomb and Holden began an examina- tion of Procyon, which has been continued, on convenient occasions, to the present time. Struve's companion has not been seen by either of these astrono- mers ; nor, indeed, by any one who has examined the star through our instrument. Another companion, however, was soon suspected ; and the existence of this and other companions has now been so well established that an account of the examination of this star will be interesting. EXAMINATION OF PROCYON FOR THE DETECTION OF STRUVE'S COMPANION. [Extracts from Observing BooJc.s.) (1) 1873. Nor. 29. Procyon carefully examined, and all small stars within 2' mapped down. Struve's companion not seen. Seeing very good, except possibly a slight haze. Observer: Newcomb. (2) 1873. Dec. 30. Examined Procyon. Struve's companion not seen. New- comb. (3) 1874. Jan. 2. Procyon's distant companion measured. Struve's com- panion not seen. Newcojib. 18G PROCEEDINGS OF THE AMERICAN ACADEMY (4) 1874. Jan. 8. (5) 1874. Jan. 14. (6) }) Jan. 25. (7) )> Feb. 5. (8) „ Feb. 14. (9) „ Feb. 21. (10) „ Mar. 11 (11) „ Mar. 20 (12) „ Mar. 21 (13) „ May 18. (14) „ May 26 (15) „ Oct. 15. (16) Nov. 7 (17) „ Nov. 12 (18) „ Nov. 25, 13 h. 30 m. Procyon: examined carefully for about 20 min- utes, — distant companion plain. Seeing good, and rays round star quiet : no small companion. Holden. 10 h. Very good seeing at times : ... no near companion to Procyon. Holden. Seeing very excellent : ... no near companion to Procyon. HOLDEX. Procyon. Good seeing. Struve's companion not seen. Newcomb and Holden. Suspected a companion following more distant tban com- panion to Sirius. Position angle 76° or 77°, by rough ■ sketch. (See observations of Nov. 12, 25, and 26.) Holden. Procyon : poor image. Holden. 6h. 15 m. to7h. P)-oc//on: distant companion plain. Procyon unsteady, and poor seeing : no suspicion of near com- panion. Holden. Procyon: no near companion. Holden. 7h. 30 m. Procyon: image good. Struve's companion not seen. G. W. Hough, Newcomb, and Holdes^. 7 h. 30 m. Procyon : no near companion. Holden. About 8 h. P;-oc2/o?i; no near companion. C. H. F. Peters. Procyon: aperture reduced to 15 inches. Image poor: no near companion. Newcojib. 17 h. Sirius: companion better seen with aperture reduced to 22 inches. — Procyon : aperture 22 inches. Struve's companion not found. Definition fine. 17 h. 44 m. Distant companion can still be bisected with ease in the increasing daylight. 17 h. 47 m. Bisection difficult, but companion plainly seen away from wire. 17 h. 51 m. Companion cannot be certainly seen at all. I am surprised at its sudden disappearance in the daylight. Newcomb. [The sun was about G° below the horizon at 17 h. 50 m.] Cambridgeport, Massachusetts. Using the McCormick telescope; aperture, 26J inches. Seeing i-er// good. Pro- cyon: no trace of Stkuve's companion. Alvan Clark, G. Clark, and A. G. Clark. Procyon: seeing about the same as at Cambridgeport [Nov. 7]. No sign of Struve's companion. Observation doubtful of a small companion 10" off, marked in drawing position angle = 68° from sketcli. Alvan G. Clark, with 26-inch refractor at Washington. , 14 h. 30m. to 15 li. 10m. Procyon: seeing not r-ery good. Struve's companion not seen. Small companion sus- pected, [p = 47° from sketcli.] OF ARTS AND SCIENCES. 187 15 h. 20 m. Eeduced aperture to 22 inches ; no better see- ing. HOLDEN. (19) 1874. Nor. 26. 15 h. Procyon: full aperture. I see distinctlj'- the same companion that I saw last night. Position about 90° more than old companion, [p = 42* from this estimate.] Seeing perfect. Planetary disc to Procyon. 15 h. 30 m. to 45 m. : reduced aperture to 22 inches. Sudden scud of cloud and haze : saw the small companion but once. HOLDEN. Besides the above recorded observations, the companion has been looked for and not found on various occasions at the Naval Observa- tory by Professors Hall, Eastman, and Peters ; and by Professor Peters at the Melbourne Observatory with the four-foot reflector under very good conditions. On Jan. 12, 1876, Procyon was examined under exceptionally fine circumstances by Professor J. C. Watson and Professor Hoiden. No trace of Struve's companion was seen ; but both observers inde- pendently discovered others of which they at once, and without con- sultation, made sketches which agreed in showing certainly three small companions quite within 10" of distance, and between 0° and 90° of position angle ; and one was suspected by Professor Hoiden some- where between the old companion and Procyon. Designating these in the order of position angle by 1, 2, 3, and 4, the sketches agreed in making 2 the brightest of the three, and also the most distant, while 1 and 3 were nearly of equal brightness and of equal distance (less than the distance of 2). The following is a transcript from the Ob- serving Book : — o (20) Procyon and neighboring stars : coincidence of wires 64 r. 14 approxi- mately. Telescope west of pier ; eye-piece, 400 A. Reading for Position. Reading for Distance. 231.6 63.488 p = 10° s = 6" 63.592 J. C. "Watson. 200 63.31 208 63.40 34° s = 7/'.9 E. S. HoLDEN. Telescope east of pier. Eye-piece 400. 209.6 65.12 p = 32° s = 9'/.7 J. C. WATSoy. 208 65.02 eye-piece 400. p = 34° 8 = 8.8 E. S. HoLDEX. 188 PROCEEDINGS OF THE AMERICAN ACADEMY No signs of 2's companion : image fine. At about 11 h. Procyon examined by Professor J. C. Watson, and Holden. Where Alvan G. Clark found a companion (see Observing Book, Nov. 12, 1874), which was verified by Holden (1874, Nov. 25 and Nov. 26), Professors Watson and Holden found three. One of these is somewhat brighter than the other two (see sketches I. and II.), and this was first seen by Professor Watson (i.e., on Jan. 12), while Holden saw the preceding one ; and, finally, all three were well seen, and the first seen was measured in both positions of the instrument east and west of the pier, by both observers. The seeing was extremely fine, and these images were well and steadily seen for about two hours (till 13 h.). In the sketches, a is the old companion, p = 312° [s ^ 42"]. SUMMARY. ( p = 10° s = 6.// : J. C. W. Telescope W. J p = 38 s = 7. 9 : E. S. H. ^ p = 34 ... : J. C. W. _, , -- ( p = 82° s = 9."7 : J. C. W. Telescope E. j J _ 3^ s = 8. 8 : E. S. H. Holden suspects a 4th companion somewhere about p = 320° — 380°. It should be noted further that 400 and 400 A are different eye-pieces, and that these satellites were seen in all parts of the field of view, and in all positions of the eye-piece. (21) New companions to Procyon : 1876, Jan. 20. The seeing is not good. Reading for position angle : 214° Holden p = 28° 224 Peters p = 18 212 Watson p = 30 189° Peters p = 53° 188 Watson p = 54 .242° Peters p = 0° Saw the brightest of the three companions without difficulty and quite steadily, and caught occasional glimpses of one of the others. D. P. Todd. " Neither Peters, Watson, nor Holden see O.S's companion. (22) Companions of Procyon : 1876, Jan. 21. 10 h. 11 m. Examined Procyon with power 400. Images generally blurred and flaring. Irregular whiffs of wind. During occasional moments caught quite distant glimpses of one or two companions about p 45° greater than old companion, but too unsteady to measure, [p = 367°] New* comb. OP ARTS AND SCIENCES. 189 About 11 P.M. saw, by glimpses only, two of the close companions of Pro- cyon ; viz.. that nearest in angle of position to the old companion and the mid- dle one. Procyon too much blurred to attempt any measurements. C. H. F. Peters. At 11 h. cannot be certain of seeing any thing in the place of the new com- panions, although there is at times something which looks like a companion. Images not good. Hall. 1876, Jan. 25. 10 h. 2 m. Procyon examined with powers 400 A, 400, 600 A, and single lens 500. I cannot see the new companions or Struve's. Distant companion seen steadily with all powers, but best with 400 A and 500. Hall. (23) Procj'on, 1876, Jan. 25. 10 h. 30 m. The new companion, i.e., the brightest of the three, suspected strongly, and a reading for position taken. Image of Procyon very poor, p = 37." 0. Holden. KECAPITULATION. It seems to be established by the preceding observations that there is no companion to be seen in the position indicated by Struve. Collecting all estimates and measures of other suspected companions in a table, and adding a supposed identification of them with one of the four satellites suspected by Watson and Holden on January 12, we have the followins : — Date of the Observation. Position of the Companion. Distance of the Companion. Supposed identi- fication. Observer. 1874. Feb. 5 76=:: s>10" ■? Holden. Nov. 12 68 10 est 1 A. G. Clark. „ 2.5 47 about 10 3 Holden. » >. 26 42 „ 10 8 Holden. 1876. Jan. 12 10 6 1 J. C. Watson. }i }> t9 88 7.9 2 HOLDKN. yt >t >) .34 2 J. C. Watson. J9 99 99 32 9.7 2 J. C. Watson. If 9> If 34 8.8 2 Holden. 99 » 9i 320°-330° 1 about 10 4 Holden. ., 20 28° „ 10 2 Holden. ff If ff 18 „ 10 1? Petkrs. ff fl If 30 „ 10 2 Watson. >f ff fl 58 „ 10 8 Peters. f f f 1 f 1 54 „ 10 3 Watson. fl fl 1' 0 „ 10 1 Peters. ,, 21 357 (est) „ 10 1 Newcomb. Holden. >» » . 25 37 „ 10 2 190 PROCEEDINGS OF THE AMERICAN ACADEMY The three companions about which no doubt is entei'tained are, — 1. p = about 10° 8 = 6" 2. p = 36o s = 8"8 3. p = about 50° s < 10" It is quite possible that there may be one or two more. It is easy to understand why these have not been seen before, as the early ex- aminations were principally for the purpose of detecting the existence of Struve's companion, and as the very finest atmospheric conditions are required for their certain detection. It is believed, however, that even in ordinarily good seeing two can be seen. OP ARTS AND SCIENCES. 191 XI. NOTES ON MAGNETIC DISTRIBUTION. By Henry A. Rowland. Presented, June 9, 1875. In two papers which have recently appeared on this subject, by Mr. Sears (Amer. Jour, of Science, July, 1874), and Mr. Jacques (Pres. Amer. Acad, of Sciences, 1875, n. 445), a method is used for deter- mining magnetic distribution, founded on induced currents, in which results contrary to those published by M. Jamin have been found. It does not seem to have been noticed that the method then used does not give what we ordinarily mean by magnetic distribution. In mathe- matical language, they have measured the surface integral of magnetic induction across the section of the bar instead of along a given length of its surface.* M. Jamin's metnod gives a result depending on the so-called surface density of the magnetism, which is nearly proportional to the surface integral of the magnetic induction along a given length of the bar. Hence the discrepancy between the different results. Had the expeiiments of Mr. Sears and Mr. Jacques been made by sliding the helix inch by inch along the bars, their results would have confirmed those of M. Jamin. Four or five years ago, I made a large number of experiments in this way, which I am now rewriting for pub- lication, and where the whole matter will be made clear. At present, I will give the following method of converting one into the other. Let Q be the surface integral of magnetic induction across the section of the rod, and let Qe be that along one inch of the I'od : then Qe cc -j- X being the distance along the road. Hence, M. Jamin's results depend on the rate of variation of the magnetization of the rod, while those of Mr. Sears and Mr. Jacques depend on the magnetization. In conclusion, let me heartily agree with Mr. Jacques's remarks about M. Jamin's conclusions from his experiments. Such experi- * Meavill's Electricity and Magnetism. Art. 402. 192 PROCEEDINGS OF THE AMERICAN ACADEMY nients as these give no data whatever for a physical theory of magnet- ism, and can all be deduced from the ordinary mathematical theory, which is independent of physical hypothesis, combined with what is known with regard to the magnetizing function of iron. This will be shown in the paper I am rewriting. It seems to me that M. Jamin's method is very defective ; and I know of no method of experimenting, which is theoretically without objection except that of induced currents, and this I have used in all my experiments on magnetic distribution for the last four or five years, and have developed into a system capable of giving results in absolute measure. Mr. Jacques is to be congratulated on pointing out these errors in M. Jamin's conclusions. Tkot, June 7, 1875. OP ARTS AND SCIENCES. 193 XII. ON THE METHOD OF LEAST SQUARES. By Trdmak Henky Safford. Presented, Oct. 12, 1875. The method of least squares with the theory of errors of observa- tion upon which it depends forms the foundation of modern practical astronomy, and is largely used in subjects akin to astronomy, as geodesy and physics : the object of the present note is to assist in their practical application, both in planning and reducing series of observations. Legendre first seems to have published the method of least squares, mainly as a convenient and pretty method of computation. Gauss soon after showed that it was the same in principle as the ordinary method of taking the arithmetical means, in the simpler cases to which that is applicable ; and that either method presupposes a distri- bution of the errors of observation, such that the probability of larger errors is less than that of smaller ; and proportional to the function where A is an error of observation, and h a factor which reduces all systems of such errors to be comparable with each other. Of course the probability of an error of observation exactly equal to a given amount, no hair more nor less, is infinitesimal ; and the definite integral V ' j .; "^ denotes the probability that there will be errors between the limits Aj and Ajj while the total probability of all the errors of observation denoted by unity will be equal to vt/^ '■ "- VOL. XI. (n. 8. III.) 13 194 PROCEEDINGS OF THE AMERICAN ACADEMY Shortly after this investigation of Gauss, Bessel examined long series of observations, to see whether the law of distribution of errors thus indicated was a true one : he found that it was approximately so. His tables and some results are in the Fundamenta Astronomic : from these it appears that the definite integral above mentioned does rep- resent the actual distribution of errors with striking exactness ; but that there is generally a surplus of perhaps 1 to 3 per cent of the larger errors. I may here mention that the least favorable series quoted by Bessel — Bradley's declinations — are now in process of re-reduction by Prof. Auwers, of Berlin, and that his results in part are in my hands for anotlier purpose. The larger discrepancies which Bessel's own reduc- tion left in them will pi'obably be found to disappear in the newer calculations, and seem to arise from variations in the zero point of the quadrant. A few years after Bessel's results were "published, Gauss wrote his Theoria Combinationis Observationum. In this he takes the ground, from the beginning, that e ^ does represent the probability of eri'or, and mentions casually that it is only an approximation. About 1838, Bessel published his last paper upon this subject. It seems to be little known in this country, but is extremely im- portant. He shows that the law of error will be that mentioned with grreater approximation, the nearer the following conditions are complied with. First, that the sources of error are very numerous. Second, that they give rise to errors of equal average magnitude. He then points out that the first condition always holds good, by an enumeration of the known sources of error ; and tliat in good observa- tions the second condition has always a tendency to maintain itself, because if any one source of error is sensibly more influential than the rest, it will be detected and put away, or at least its effect diminished by a proper arrangement of the work. The main object of this paper is to give the rules for good observing derived from this theory : 1 have tested them in two long series of observations, one made at Cambridge from 1862 to 186G, the other at Chicago from 18G8 to 1871. The first series is of right-ascensions of the principal stars, about 500 in number, each observed at least eight OF ARTS AND SCIENCES. 195 times, and many from thirty to forty times. The second series is a portion of the great zone observations now going on under the charge of the Astronomische Gesellschaft of Leipzig. The rules for this series were formulated by Argelander. The sources of error (not mistakes) in astronomical observations are partly psychological (deficiency of attention), partly psycho-physical (dul- ness of the senses, time expended in communications through the nerves), partly instrumental, or depending on temperature, partly optical, depend- ing on the condition of the atmosphere. The first rule then, is that the observer must keep himself in uniform condition, and therefore be tem- perate and regular in his life. He must keep his senses constantly under control. He must have good instruments, well and firmly mounted : all the parts of tfie instruments must be solid. The differ- ent instruments must correspond with each other in their degree of perfection, and must always be in good repair. Observations must not be made when the air is uncommonly disturbed, or when the observer cannot keep himself warm enough to be comfortable, — of course when it is practicable to make the observations at all under better circumstances. The single observations should be uniform ; ^. e., on nearly the same number of wires, with nearly the same number of settings and micro- scope readings. Too great fatigue should be avoided by timely pauses, so that, for instance, the first observations of a night may not be very good, and the last very bad. Long series of observations have been greatly damaged by the fol- lawing causes, among others : — Large errors of division, much exceeding the errors of setting upon a star. The wearing at the centre of a quadrant ; and a gradual flexure of the Avhole instrument. Placing a transit instrument in a high tower, which expanded and contrai-ted by the sun's heat. Too great trust in the fixity of an instrument. Closely counterpoising a meridian circle, so that, when observing zones in a hurry, the axis was lifted out of its bearings. "Weakness of the telescope tube, and an attempt to improve it by levers of flexure. 196 PROCEEDINGS OP THE AMERICAN ACADEMY The wearing of the pivots of a transit instrument. Employing a per- son to note time for the observer proper. Negligence in determining the zero-points ; too great trust in the Nau- tical Almanac in comparison with immediate observation. The employment of two observers of very unequal skill upon the same work. The employment of a careless or ignorant person to direct good observers. In all these cases, some one cause of larger error than is unavoidable is brought into the work, and manifests itself by larger discrepancies than the theory of probabilities indicates. In some old series, several such causes are visible: the effect of these is to produce much larger errors. Novv-a-days an observer may be called upon to use an old and poor instrument ujjon distant service, and runs the risk of unusual dis- crepancies thereby. So far with regard to the errors of single observations : I come now to the smaller errors of series of observations. If a star's place is determined by four observations of equal value, it will be affected with but one-fourth the sum of all the individual errors ; and its probable error, the so-called internal probable error, will be but one-half that of each observation. But there will be new errors intro- duced, tending to slightly increase this. The skill of the astronomer is shown in making these as small as possible : first, by giving all the parts of his instrument as many reversals as he can, without affecting the stability, reversing his axis end for end, interchanging objective and ocular ; or else by making his observations more strictly differential. The former is best, when fewer objects are to be observed ; the latter, where the mass of work done is more important than its strict inde- pendence. Now I wish to notice that the errors of uniform star places will be more exactly distributed according to the law of probabilities than those of the single observations from whicli they are formed. For, in the first case, the sources of error are more numerous, and mare exactly uniform in their action ; while the resulting errors are more infinitesimal ; provided, that is, due care is taken with the elimination of constant error. On the other hand, if one star be observed twice, and its neighbor, of just the same importance, twenty times, it will be ditficult to bring the pi'obable errors of the results under any general rule. OF ARTS AND SCIENCES. 197 The average rule in first-class observatories is about this : — Stars observed en masse, or by zones, should be twice observed, three times if the two observations disagree nauch. Stars observed for ordinary catalogues of objects, interesting as bright or having proper motions, should he four times observed, twice in each of two opposite positions of the instrument. Stars requiring special accuracy, not of the very first order, should be observed eight or ten times. For fundamental determinations, it is not so nluch the number of single observations that is important, as the number of separate determinations (in different years) of eight or ten observations apiece ; and also the number of variations in the position of the instrument and its parts. For some months I have been bringing together all available material for a catalogue of latitude stars for the United States Engineers. Tal- cott's method puts a heavy strain on the catalojiue, as it is very simple, and easily made accurate with a good instrument, but employs quite small and ill-kuovvn stars, for want of well-proportioned pairs enough at any given time and place. Hence the British Association Catalogue, which contains stars enough, was found almost from the day of its publication to be far from precise. It could hardly be used with a two-iuch zenith telescope in indifferent condition, on the boundary between this country and Mexico. In supplying star-places for this purpose from time to time, the gradual increase of material has been greatly encouraging. But, on the other hand, there is a troublesome want of uniformity in modern star-catalogues. To say nothing of unreduced observations, it often happens that there is much carelessness in settling the zero-points of the instrument, and the clock- and other corrections ; so that the errors in these are often larger than those of observations. Moi'eover, the star- places used as fundamental are often less accurate than those obtained by their help ; and the various flexures and errors of division, and the variations in clock-rate, are neglected or ill-determined. As a result, it becomes very difficult to assign the proper weights to the separate determinations, and to settle upon those which are to be excluded. The simplest rule would be to exclude certain doubtful catalogues altogether ; but unfortunately they are sometimes indispen- sable, where the star is wanted, and no other authority of the same epoch is at hand. 198 PROCEEDINGS OF THE AMERICAN ACADEMY Great assistance has been obtained by noting all the doubtful cases, and requesting their re-observation at the United States Naval Obser- vatory, or re-observing them myself, when other duties would permit; but this is a matter which requires time. I might here mention that the future progress of sidereal asti-onomy proper will be greatly fur- thered by continually watching stars of doubtful proper motion until their motions are decided ; and that the next few years will very greatly increase the necessity of so doing. It is, therefore, very necessary that the system of co-operation among the astronomers of different countries, which has lately begun, should extend much wider than it has, or at least that every observer should strive to regulate his work by the uniform principles which guide the best ones, and also to do that which is most necessary for the general good. Fortunately, the making good observations, and reducing them well, requires chiefly industry, system, and order, and is not very dependent upon the capacity to appreciate the highest flights of mathe- matical genius. The one thing needful for good observations is, in a word, disci- pline. In computing probable errors, I generally use the sums of the dis- crepancies, not the sums of their squares. The formula is, — £ = 0.845 \rm{m — n) where ^e denotes the sum of the errors, « the probable error of a single one, m their number, n the number of unknown quantities. The little table annexed contains ^m (m — n) M = ^ 0.845 so that ' = M with the arguments m and n. I have extended it only so far as I habitually use it ; beyond these limits, it is better to calculate by loga- rithms. In the calculations above-mentioned, I have used two little devices for shortening the solution by least squares, which are best illustrated by the same example. OP ARTS AND SCIENCES. 199 The star Piazzi xv. 176, has the following determinations of its declination, reduced to the movable planes of 1875, by Bessel's pre- cession and proper s^'steraatic corrections : — Authority. Declination. Ep. Wt. Piazzi & Lalande . Taylor Armagh .... Quetelet .... 14oi0'51"l 47.7 46.9 44.2 1798' 1835 1842 1865 H 1 1 f The equations to be solved by least squares will be : — a;_0.77i/ = 9".l Wt=l^ X _ 0.40 y = b.l 1 X — 0.33 y = 4. 9 1 a;_0.10y = 2. 2 f Taking the mean by weights, we have x — 0.461 y = 6".09, which ia the final determination of ic — 0.46 1 y. Hence, O.SOd y = — 3".0l 0.061 y=z — O.Sd 0.131 y = — 1.19 0Mly = — 3.8d with the same weights as before. Solving these equations by least squares (a very easy process), that is, multiplying each by its coeffi- cient of y and its weight, we get — 0.142 .y=—r'.39 0.004 y = — 0.02 0.017y = — 0. 16 0.0975/ = — 1.05 Adding " 0.260 y = —2.(j2 y = _ io".08 hence x = 6".09 -f 0.461 X — 10.08= 1".44 since the declination for 1875 was 14°10'42" + x, and the proper motions in one hundred years .y; I took for y in round numbers — 10" and brought up the declinations with its help as follows : — 200 PROCEEDINGS OF THE AMERICAN ACADEMY Wt. Pi. & Lai. . T Arm. . . . Q 14°10'43"4 43.7 43.6 43.2 H 1 1 i > strictly 43"44, see above. Means 43. 48 Adopted 43.5 The other process combines Taylor and Armagh into one place ; thus, — Authority. Epoch. Declination. Wt. (1) (3) Pi. & Lai. T. & Arm. 1798 1838.5 1865 14oiO'5Pa 47.3 44.2 n 2 1 A theorem of Jacobi's tells us to multiply the result of any com- bination of the two unknown quantities by the square of its deter- minant, and add all together, and divide by the sum of the squares of the multipliers ; thus, — Combination. « p. M. - Result for one. Square of Det. X product of wts. 1 (1) (3^ . (2) (3) — 0"103 —0. 094 —0. 117 67-' XHX%- 40.5'^ X H X 2 26.5-' X 2 X 1 —5051 =4920 =1053 520.3 462.5 1232 11024 1106.0 final mean— 0".1003. Using — 0".10 as before, and bringing up we get Pi. & Lai. T. & Arm. Q. . . 43"4 43. 65 43. 2 14°10'43. 48 as before. OP ARTS AND SCIENCES. 201 Table of 3f= \rm {m — n) 0.«154 n = \ n = 2 »j =3 2 90 2.05 4 4.10 3.35 5 5.29 4.58 6 6.48 5.79 7 7.67 7.00 8 8.85 8.19 9 10.04 9.39 10 11.22 10.58 11 12.41 11.77 12 13.59 12.96 13 14.77 14.14 14 15.96 15 33 15 17.14 16.52 16 18.33 17.70 17 19.51 18.89 18 20.69 20.07 19 21.87 21.26 20 23.05 22.44 202 PROCFRDINGS OP THE AMERICAN ACADEMY XIII. BRIEF CONTRIBUTIONS FROM THE PHYSICAL LABO- RATORY OF HARVARD COLLEGE. BY JOHN TROWBRIDGE. Ko. IV. — ON THE EFFECT OF THIN PLATES OF IRON USED AS ARiMATURES TO ELECTRO-MAGNETS. Presented, Feb. 9, 1876. In a paper presented to the Academy, April 13, 1875, 1 showed that the application of armatures to two strait electro-magnets, which formed the primary circuit of a Ruhmkorf coil, more than doubled the strength of the induction current produced by breaking the primary circuit. When, however, the circuit of the secondary coil was not closed, and a spark was allowed to jump across the interval between its poles, the striking distance of the spark, and its power to charge a condenser, did not seem to be notably increased by the applications of armatures to the electro-magnets of the primary circuit. My experi- ments, at that time, were made with solid iron cores ; and I now resume these experiments with bundles of fine iron wires in place of the solid iron cores. The mechanical difficulty of making the ends of the bundles of fine wires constituting the cores plane surfaces was overcome by dipping them in melted solder, and then filing the surfaces. In this way, I had no difficulty in applying the armatures so that they should lie upon a plane surface. The resistance of each of the two induction coils covering the two strait electro-magnets was 6000 ohms, and that of each of the strait electro-magnets .34 of an ohm. The diameter of the bundles of fine iron wires constituting the cores was 5 cm., and the length of the electro-magnets was 28 cm. Condensers of various sizes were placed in the primary circuit: the results given in this paper were obtained by the use of a condenser of about one Farad. The method of ex])eri- menting was to charge a condenser of } of a Farad by means of a spark one millimetre in length, and then to discharge this condenser through a galvanometer. If we express the quantity of electricity OP ARTS AND SCIENCES. 203 received by the condenser by Q, the electro-motive force and the capacity of the condenser by E and G, we have Q = EG. We also have ^=— sin ^ gi, where n is the reduction factor of the galva- TT nometer, t the time of vibration of the magnet, and (p the arc through which it swings under the effect of the charge. Knowing the reduc- tion fiictor of my galvanometer, I had thus the means of reducing my results to absolute measure. But I speedily found that the relative results obtained by the proportions Q: Q' = sin I (f) : s'm ^ (f' = E : E' would present the points of this investigation in a manner as valuable as if the results had been reduced to absolute magnetic measure. My first experiments were made with solid armatures. TABLE I, Without armatures. With armatures. 80 90 70 80 90 100 60 70 70 85 80 90 Mean 75 86 In this table, the numbers are the deflections of the* reflecting gal- vanometer expressed in millimetres. In this case, the gain by the use of the armatures was trifling, being only about 14 per cent. These results were obtained by charging the condenser of ^ of a Farad, by sparks one millimetre in length. On a closed secondary circuit, however, a gain of one hundred per cent was clearly shown in the strength of the induced current pro- duced by breaking the primary circuit. The question of how to make this great increase in the strength of the induced current by the employment of armatures manifest in the spark became an interesting one. It seemed at first as if the application of armatures, by maintain- ing the temporary magnetization of the iron cores, would be detrimental rather than otherwise. 1 next tried the effect of bundles of thin iron plates, which were 204 PROCEEDINGS OF THE AMERICAN ACADEMY placed as armatures upon both poles of the electro-magnets, thus making a magnet of a horse-shoe form. 'On charging the condenser, I found a very great increase in quantity, which was manifested by the swing of the galvanometer needle, the indications being entirely off the scale. Table II. shows the results obtained by the use of iron plates ^^ of an inch in thickness, twenty in number, constituting each armature. TABLE II. Without plates. With plates. 80 70 90 60 70 80 Mean 75 400 ' 380 370 400 370 400 Mean 386.6 Here a gain of four hundred per cent was manifested by the use of the thin plates. The next step was to ascertain how many plates were necessary to obtain the maximum effect. The difficulty of obtaining plates of the same homogeneity made it impossible to obtain smooth curves. To this diificulty was added that of breaking the primary circuit in a regular manner. If the results of Table HI. are plotted, it will be seen that the increase within small limits is very nearly proportional to the number of thin plates, which were i^^ of an inch in thickness. TABLE IIL No. of Deflections No. of Deflections plates. of galv. plates. of galv. 1 11 6 15 2 12 7 15.5 3 13 8 16 4 13 0 18 5 14 10 18.5 OF ARTS AND SCIENCES. 205 On increasing the number of plates, a point was reached where there was no additional effect. The best result was obtained where the mass of the armatures was approximately equal to that of the cores of the electro-magnets. Plates of ^V of an inch in thickness were also used ; but no advantage resulted in their employment, over those of -^-g of an inch. It would seem that the thin plates followed the same law as that of the bundle of fine iron wires which constitute the cores of induction coils of the present day, and that only a moderate degree of discontinuity in the mass of iron submitted to magnetic influence is necessary to prevent the formation of currents of induction which prolong the magnetism of the cores, and prevent the quick demagnetization necessary to produce intense currents of induction. The effect of insulating the thin plates with thin dielectrics, like paper, was also tried witli no gain in effect. There appeared to be a slight gain by placing the plates edgewise on the poles of the electro-magnets, instead of allowing them to repose on their flat sides. This was doubtless due to better contact of the metallic surfaces. Since the above results proved concUisively a very great gain in quantity and electro-motive force by the application of thin plates as armatures, I next measured the striking distance of the spark. Table IV. gives the results which are the mean of many trials. TABLE IV. Without armatures. With armatures. 15 cm. 14 „ 15 „ Mean 14.6 32 cm. 30 „ 32 „ 31.3 A curious fact came up in this connection. The lengthening of the spark was not shown when the spark leaped directly between the poles of the induction coil. The increase in quantity and electro-motive force was only made manifest to the eye by the employment of condensers in the secondary circuit. The results in Table IV. were obtained by tlie employment of a Leyden jar of large capacity. The increase in the quantity and electro-motive force was not only shown by the increased length of the spark, but also by its increase in volume and its loud snap. The spark consisted of a thick central bolt, -surrounded 206 PROCEEDINGS OF THE AMERICAN ACADEMY by curious thin detached sparks. An attempt was made to measure the increase of light in Geissh-r tubes by Vierodt's photometric appa- ratus, but it was found too inexact for this purpose, if, indeed, there was any increase of light, which certainly remains to be proved. I know of no results which bear upon the relation of the increase of light to the increase of electro-motive force of the induction spark. Without condensers in the secondary circuit, however, the increased electro-motive force of the spark was shown by its greater constancy in leaping over a given resistance of air. The results of this investigation can be thus summed up : — 1. The application of thin plates of iron as armatures to two strait electro-magnets increases between four and five times the strength of the spark produced by the surrounding secondary coils. 2. The length of the spark is doubled, which is only shown by the use of a condenser in the secondary circuit. 3. The results show that it would be more economical to construct induction coils consisting of two strait electro-magnets constituting the primary circuit, and two fine coils constituting the secondary circuit, with the use of thin plates of iron as armatures to the electro-magnets, than to distribute the same amount of wire ou one strait electro-magnet, as in the common form of Ruhmkorf coil. . NO. v. — ON THE SO-CALLED ETHERIC FORCE. Articles have appeared in various newspapers during the past few weeks, calling the attention of the public to the evidences of a new force discovered by Mr. Edison, of Newark, N.J., whicli he has termed the Etheric Force. The New York " Triblme " of December 9th contains a letter from Dr. G. M. Beard, which details some experi- ments which he has tried ; and in the same letter Dr. Beard invites the attention of scientific men to the alleged new phenomena. Evidence of the force is obtained in the following manner : A bar of cadmium or other metal — cadmium having the preference — is placed upon the poles of a strong horse-shoe electro-magnet, in the same manner that a soft iron armature is usually placed ; an insulated wire is connected with the bar of cadmium ; and when the cii-cuit in which the electro-magnet is placed is rapidly interrupted, either by a key or a vibrating armature, sparks appear at the end of the wire con- nected with the bar of cadmium. It is claimed that the kind of elec- tricity thus evolved does not answer to the usual tests of static OF ARTS AND SCIENCES. 207 electricity ; tliat there is no evidence of any polarity ; that the force passes through ordinary insulators better than electricity of high tension ; that no pliysiological effects are manifested when the dis- charge is received by the human body, and that it is impossible to charge a Leyden jar or to affect a sensitive electrometer or mirror gal- vanometer by this force. The spark, it is claimed, differs from that of ordinary electricity of high tension, in that it requires contact of the end of the wire conducting it with a metal or carjbon point presented to it. Tlie best sparks were obtained by rubbing a fine iron wire against a rusty file or stove-pipe. Dr. Beard found tliat a galvano- scDpic frog gave no evidence of the existence of the force, although a spark was received after the passage of the force through the frog. Mr. Edison passed the force tlirough iodized paper for three hours, and no effect was produced. He also took the wire connected with the apparatus out of doors, ran it along the ground and in a ditch on a rainy night, and brought it upstairs several rods from the battery, and the sparic was seen l)y himself and Dr. Beard, at the terminal of the carbon point connected with the wire. Tiie apparatus which I used to produce the phenomenon was a strong electro-magnet, the limbs of which were six inches long, and were covered with large bobbins of coarse wire, having a resistance each of .70 of an ohm. Bars of iron, steel, and brass, were used as armatures to evolve the force ; a copper wire was connected with the bar of metal at various places, sometimes at the end and sometimes in the middle ; and the end of this wire was tested by one of Sir Wil- liam Thomson's quadrant electrometers, by his most delicate mirror galvanometer, and by the carbon points advised by Di-. Beard in his letter which we have referred to at the opening of this article. The electrometer immediately showed a slight tension on the sur- face of the bar of metal, which constituted the armature of the electro- magnet. By the method of multiplication, the swing of the needle was increased, so as to give unmistakable indications of polarity ; the directions of the indication being in opposite directions at making and breaking the circuit of the electro-magnet. It was evident that the want of polarity noticed by Mr. Edison was due to the rapid alternating nature of the induction currents produced in the bar of cadmium. That this so-called etheric force was nothing but a phenomenon of induction seemed evident at first sight ; but one would hardly have predicted that currents of sufficient intensity could have been created in this way to produce a spark. The phenomenon possesses, however, considerable interest, which seems to have been 208 PROCEEDINGS OF THE AMERICAN ACADEMY overlooked by those who have given explanations of the phenomenon based upon the ordinary laws of induction. Faraday early showed that, if a copper disc be rotated between the poles of a strong electro- magnet, currents of considerable strength could be drawn from it by connecting one end of a wire with the axis of the disc, and the other with its periphery. It has never been shown, to the writer's knowl- edge, that by suddenly making and breaking the circuit of the electro- magnet a degree of static induction could be produced in a copper disc sufficient to produce a spark. It will be readily seen that making and breaking the circuit of the electro-magnet is equivalent to cutting the lines of force of the magnetic field by quick, rotation ; and therefore the plienomenon possesses an interest, because it supplies a break in the literature of the subject. NO. VI. — OX A NEW FORM OF MIRROR GALVANOMETER. The want of graduated circles for galvanometers is often seriously felt in Physical Laboratories. The method of reading the deflections of the needle by the reflection of a spot of light from a minute con- cave mirror over a scale, or by the reflection of a scale in a plane mirror attached to the swinging magnet, are methods of great delicacy. In certain cases, it is difficult to obtain suitable mirrors. I present the following method of reading the deflections of a galvanometer needle, without the aid of minute mirrors either plane or concave, which are usually attached to the magnet. In this method, the mirror is station- ary, while tiie magnet moves. I have applied the method to Helm- holtz's modification of Gangain's galvanometer. In the line passing through the pivot or line of suspension of the needle, not necessarily above the centre of the needle, but somewhere in a line passing through its centre, and perpendicular to its length, an ordinary plane mirror is placed. A piece of looking-glass will answer. The silvering of the upper half of the stiip of looking-glass is removed, and a fine scale is etched upon it ; or for rough purposes a paper millimetre scale is pasted upon the unsilvered portion. It will be readily seen that for small deflections -with a magnet pro- vided with the ordinary long aluminmu pointers, tipped at the ends with a small vertical point, if the eye be placed so that the vertical point and its image in the mirror are in the same line that the projec- tion of the arc of the circle of which the needle with its pointers con- stitutes the diameter, can be read along the scale placed upon the mirror. OF AETS AND SCIENCES. 209 For small angles, this projection is very nearly equal to the arc itself, for it is the sine of it ; and if H is half the length of the needle with its pointer, and M the projection^ on the mirror, then the angle — m ' wi a: = sm . or sm ce = — . R ^ This method obviates the difficulty of placing a plane mirror upon a magnet, so that it shall be perpendicular to it, and also in a vertical position in order that the image of a scale reflected frjam it can be seen in a telescope, which is often a troublesome adjustment. It is true that long pointers are needed, in order to magnify the indications of the needle ; but a telescope pointed with a micrometer can be used, which, after focusing on the vertical point at the end of the aluminum pointer, one can focus on the deflection,*and then read the fractions of a division with extreme accuracy. In this case, very long pointers are not necessary. The placing of the mirror perpendicular to the magnet is an adjustment very easily made, for the pointer should coincide with its image at the centre of suspension. A table of natural tangents is therefore not necessary with this form of galvanometer. VOL. XI. (n. 8. III.) 14 210 PROCEEDINGS OF THE AMERICAN ACADEMY XIV. ON THE SOLAR MOTION AND THE STELLAR DIS- TANCES. • By Truman Henry Safford. (Tkird Paper.) Presented, Oct. 12, 1875. In previous papers, I have given investigations of this subject, based upon proper motions determined by others. In the present, I give the formulae and tables necessary for the farther prosecution of the subject, in a form slightly different from the ordinary one. In view of previous investigations by Madler and Kovalski, it will be necessary to inquire very minutely into the proper motions whose annual amount is about 0."1. The more swiftly moving stars (as we see them) have been investigated by Argelander and other astronomers, and will be carefully tested : some of them, it is possible, will show a motion not directly proportional to the time, not only because the great circle in which the star appears to move does not meet the successive meridi- ans at angles varying in the manner in which this hypothesis would require, but also because we are nearing or receding from them, rela- tively considered. Thus the terms depending on squares and products of proper motion, which Mr. G. W. Hill has, I believe, first introduced, which are the result of the varied relation between the star's apparent motion and any set of fixed planes, will not perhaps be the only terms of this kind ; so that in such investigations I prefer to omit them and determine by observation the total amount of these terms, following in this matter the example set by Bessel. But the proper motions between 0''.1 and 0".2 are susceptible in many cases (not yet studied) of accurate determination from observa- tions now extant ; and in many other cases a few additional observa- tions will be sufficient, so that the work immediately needed is to select from the whole mass such stars of this class as are adapted to either method of treatment. OP ARTS AND SCIENCES. 211 The same is true in a greater or less degree of the stars whose an- nual proper motions are less than 0".l. If these are Bradley's stars, the new reduction by Professor Auwers, and redeterminations at Pulcova and Greenwich, will be sufficient for the present ; but, if not, 60 wide a field for minute criticism is thus opened, that I suspect the only cases at present worth testing will be those in which special accuracy is to be expected ; as in the vicinity of the north pole, where the early observations of W. Struve afford the best possible means of comparison, in addition to the standard places of Groombridge. In what follows, I give first the precession-constants and formulae ; and next an auxiliary table for the computation of the relations be- tween the star's proper motion and the solar motion supposed directed to the point whose AR. is 259°50'.8 and Decl. + 32°29'.l. The computation of the most probable proper motion involves : first, the reduction of all observations with proper systematic corrections to a fixed epoch by precession, next the assignment of weights and estab- lishment of conditional equations, and lastly their solution ; but when the proper motion is large, or the star near the pole, either the geomet- rical formulae must be used, or a preliminary proper motion employed to compute the terms of secular variation depending on it. In volume IV. Part I. of the Annals of Harvard College Observatory (also included in Volume VIII. of the Memoirs of this Academy, New Series), I have given some examples of a still more rigid treatment of such cases. PRECESSION-CONSTANTS AND FORMULA. Fundamenta Astronomiae, p. 297 (Bessel, I.). For 1750 + f m = 45".99592 + t 0".0003086450 n =20 .05039 — t 0 .0000970204 Annales de I'Observatoire Imperiale (Memoires, II. 209). For 1850 + t^ m (ji) = 46".05912 + 0".00028372 t^ n {v) = 20 .05197 — 0 .00008663 t^ Tabulae Regiomontanse (Bessel II.). For 1750"+ < m = 46".02824 + t 0".0003086450 n = 20 .06442 — t 0 .0000970204 212 PROCEEDINGS OF THE AMERICAN ACADEMY Peters, Numerus constans Nutationis, p. (195). For 1800 -|- t m = 46."0623 + 0".0002849 t n =20 .0607 — 0 .0000863 t Bessel II. Stkuve — Peters. m m 15 n Log. n m n Log. n 1750 46''.0282 3.06855 20'/.0644 1.302427 46".0481 20".0650 1.302439 60 .0313 .06876 .0634 406 .0509 .0642 421 70 .0344 .0681.6 .0625 385 .0538 .0633 402 80 .0375 .06917 .0615 364 .0566 .0624 383 90 .0406 .06937 .0605 343 .0-595 .0616 365 1800 .0437 .06958 .0596 322 .0623 .0607 346 10 .0468 .06978 .0586 301 .0651 .0598 327 20 .0498 .06999 .0576 280 .0680 .0590 309 30 .0529 .07020 .0567 259 .0708 .0581 290 40 .0560 .07040 .0557 238 .0737 .0572 271 50 .0591 .07061 .0547 217 .0765 .0564 253 60 .0622 .07081 .0537 196 .0794 .0555 234 70 .0653 .07102 .0528 175 .0822 .0547 215 80 .0684 .07122 .0518 154 .0851 .0538 197 90 .0715 .07143 .0508 133 .0879 .0529 178 1900 46.0745 3.07164 20.0499 1.302112 46 .0908 20.0521 1.302159 The formulae for secular variation are, as given by Menten, — 100 ^"2 = ^ -j- ^ tan 5 + (7 tan d^ 100 '^^ = A' -\- B tan 8 in which, employing Bessel's constants for 1860, — A = o!o0206 -f 0.00650 sin 2 a = o'.0O206 + i C B= [8.4750] cos a + [6.811 «] sin a 9 (7= [8.1139] sin 2 « A' = — 0."0097 cos a — 0."4479 sin a B = [9.2900 w] sin a\ OF ARTS AND SCIENCES. 213 Menten has tabulated the values of A and A', and the logarithms of the other quantities for every minute of right ascension. These ex- pressions do not include the effect either of precession in changing the apparent amount of proper motion, or of jsroper motion in changing the precession ; in other words, they are geometrical secular variations only. • The secular variation of the whole motion, omitting terms of the order of the squares and products of the proper motions, is obtained by adding to Menten's formula the terms, — 0.01944 lu tSLU d cos a -{- ^ sec d^ sin a] 15 — 0.01944. 15 [I sin a in right ascension and declination respectively ; where fi and fi' are the annual proper motions, ft expressed in time, fi' in arc of a great circle. Argelander in his Abo catalogue gives secular variations of preces- sion only, and includes one half of these terms. Thus for a Draconis, the geometrical secular variations for 1830, computed by Menten's formulae (without allowing for the trifling secular change in the table), are, — — o!o3622 and — 0".0299. The proper-motion terms in the secular variation of the whole motion, according to the previous formulae, are, — -f o!oi921 4- 0".0254. Hence the secular variation of the total motion is, for 1830, — — o!oi701 and — 0".0045, not including squares and products of proper motion. o The Abo Catalogue has, — — 0.0265 and — 0".017 that is, one half the proper-motion terms in the secular variation of the whole motion, or, in other words, the whole effect of proper motion in changing the precession, is included. Sometimes it is necessary to employ the geometrical formulte : they are these, according to Carrington, using Bessel's constants, for the reduction from 1750 -j- < to 1750 -f t'. 214 PROCEEDINGS OP THE AMERICAN ACADEMY z-{-X= 23".0144 (f —t ) — 0".0115 {f -\-t)— 0".000056 t'^ — 0".000210 fi z'—l' = 23".0144 {t' — 0 + 0".0115 QJ + 0 + 0".000210 f^ + o".ooooo6 e 6 = 20".0652 {f — t)— 0'-.000048 f^ -f 0".000048 f a =■ a -\- z --\- X cos fi' sin a' = cos 8 sin a cos 5' cos a' = cos d cos a cos ^ — sin 5 sin 0 sin 8' = cos 5 cos a sin ^ -|- sin d cos S a' = a' -\- z' — X' Using Struve's constants, the values become : — z -^1 = 23".0311 (f — 0 — 0".0001922 f — 0".0000497 r- z' — l'= 23 .0311 (f — t)-{-0 .0000497 t^ -\- 0 .0001922 t'^ d =20 .0611 {f — ^) -1- 0 .0000432 t^—O .0000432 r^ According to Bessel IL, the formulae for the computation of these quantities are, — I = 0".17926 t — 0".0002660394 t^ w = 23°28'18".0 4- 0".00'000984233 t^ ifj = 50".37o72 t — 0 .0001217945 f-; 1', co', and t/;', are the same functions of t'. \ (z' — z) = 0".1011804 {f + 0 + 0".0000002446 (f + ty 9 tan i (.'+.) = <^o.i (.' + .) ^^^ ( , _ ) cos i (w' — w) tan i ^ = sm|_(^Mi£) tan i (co' + «) ^ cos ^ (3/ — ^) ^ ^ ^^ ^ The time is counted from 1750. According to Struve and Peters, the time is counted from 1800, and X = 0".15119 t — 0".00024186 t^ 03 = 23°27'54".45 + 0 .00000735 t'^ xfj= 50 .3798 t — 0 .0001084 t"^ i («' — s) =0 .075573 (f + t) + 0 .0000001 G26 (^' + 0'' OP ARTS AND SCIENCES. 215 The last formula is quoted from Carrington. LeVerrier counts his time from 1850, and finds (1 employ here Bessel's notation), — ^ (co' + oj) = 23°27'32"0 + 0".00000360 {f + t"") ^ {xp' — xp) = 25".18516 {f — t)— 0".00005440 (t'^ — f-) ^{z' — z)= 0 .07396 (f -j- <) -[- 0 .00000016 (f + t)^ I =0 .14790 t — 0 .00Q24167 e TABLE FOR M AND m. [Seepage 53 of this Volume.^ a M log. sin m log. cos m 0° 105°45 9.7460 9.9193 2 108.27 9.7525 9.9163 4 110.99 9,7598 9.9127 6 113.58 9.7679 9.9086 8 116.05 9.7766 9.9040 10 118 40 9.7857 9.8987 12 120.62 9.7952 9.8928 14 122.71 9.8050 9.8864 16 124.68 9.8150 9.8793 18 126.53 9.8250 9.8715 • 20 128.26 9.8350 9.8630 22 129.88 9.8450 9.8539 24 131.39 9.8549 9.8440 26 132.80 9.8645 9.8333 28 184.12 9.8740 9.8218 30 135.35 9.8832 9.8095 32 136.50 9.8922 9.7962 34 137.56 - 9.9009 9.7820 36 138.55 9.9092 9.7668 38 139.47 9.9172 9.7505 40 140.32 9.9249 9.7329 42 141.11 9.9322 9.7141 44 141.84 9.9392 9.6939 46 142.52 9 9458 9.6721 48 143.14 9.9520 9.6486 50 143.71 9.9579 9.6232 62 144.24 9.9633 9.5958 54 144.72 9.9684 9.5658 56 145.15 9.9731 9.5331 68 145.55 9.9774 9.4971 216 PROCEEDINGS OF THE AMERICAN ACADEMY TABLE FOR M AND m {continued). a 1 31 ■ log. sin m log. cos 7n m 60 145°90 9.9814 9.4573 o 73.34 62 146.22 9 9850 9.4129 75.Q0 64 146.50 9.9881 9.3628 76.67 66 146.74 9.9909 9.3056 78.34 68 146.95 9.9934 9.2391 80.01 70 147.14 9.9954 &.1598 81.69 72 147.27 9.9971 9.0622 83.37 74 147.88 9.9984 8.9354 85.06 76 147.46 9.9993 8.7546 86.74 .78 147.50 9.9998 8.4382 88.43 . 80 147.51 0.0000 7.3036 n 90.12 82 147.50 9.9998 8.4976 n 91.80 84 147.45 9.9992 8.7842 n 93.49 86 147.37 9.9982 8.9551 n 95.17 88 147.25 9.9969 9.0770 n 96.86 90 147.10 9.9952 9.1716n 98.54 92 146.92 9.9931 9.2488 n 100.21 94 146.71 9.9906 9.3139 n 101.89 96 146.46 9.9877 9.3700 n 103.56 98 146.18 9.9845 9.4193 n 105.22 100 145.86 9.9809 9.4630 n 102 145.50 9.9769 9.5022 n 104 145.10 9.9725 9.5377 n 106 144.66 9.9677 9.5701 n 108 . 144.17 9.9626 9.5996 n 110 143.64 9.9571 9.0269 n 112 143.06 9.9512 9.6520 n 114 142.43 9.9449 9.6752 n 116 141.75 9.9383 9.6967 n 118 141.01 9.9313 9.7168 n 120 140.21 9.9239 9.7354 n 122 139.35 9.9162 9.7528 n 124 138.42 9.9081 • 9.7690 n 126 137.42 9.8997 9.7840 n 128. 136.35 9.8910 9.7981 n 130 135.19 9.8820 98112n 132 133.95 9.8727 9-8234 n 134 132.62 9.8632 9^348 n 136 131.19 9.8535 9.8454 n 138 129.66 9.8436 9-8552 n 140 128.03 9.8337 9.8642 n 142 126.28 9.8236 9.8726 n 144 124.42 9.8136 9.8802 n 146 122.43 9.8037 9.8873 n 148 120.32 9.7939 9.8937 n OF AETS AND SCIENCES. 21T TABLE FOR M AND m {continued). a M log. sin m log. cos m 150 118°09 9.7844 9.8995 n 152 115.72 9.7754 9.9046 n 154 113.23 9.7668 9.9092 n 156 110.62 9.7588 ' 9.9133 n 158 107.89 9.7516 9.9167 n 160 105.06 9.7452 9.9196 n 162 102.13 9.7398 9.9220 n 164 99.12 9.7356 9.9238 n 166 96.Q3 9.7324 9.9251 n 168 92.92 9.7306 9.9259 n 170 89.79 9.7300 9.9261 n 172 86.65 9.7308 9.9258 n 174 83.53 9.7328 9.9250 n 176 80.47 9.7361 9.9236 n 178 77.47 9.7405 9.9217 n 180 74.55 9.7460 9.9193 n cos 1 = sin m cos (5 — 31) sin jf cos \p' = sin m sin (5 — M) sin X sin ip' = cos m. If « exceeds 180°, cos m changes sign, and the supplements of m and i!/are given in the table with argument a — 180°. 218 PROCEEDINGS OF THE AMERICAN ACADEMY XV. COXTRIBUTIONS FROM THE PHYSICAL LABORATORY OF HARVARD COLLEGE. No. VIIL — ON THE INDUCTION SPARK PRODUCED IN BREAKING A GALVANIC CIRCUIT BETWEEN THE POLES OE A MAGNET. Bt B. O. Peikce, Jr. Presented, Feb. 9, 1875. Becquerel, in the " Journal de Physique," IV. 206, states that the spark obtained by breaking the current, which circulates through an electro-magnet between its poles, is entirely a mechanical effect. To test the accuracy of M. Becquerel's result, I placed in the same circuit four Grove cells, an electro-magnet of the form used in experi- ments upon Diamagnetism, and a coil of coarse wire wound around a bundle of iron wires on a core. Over this coil was slipped an induc- tion coil of 6000 ohms resistance. I first experimented upon the spark given by the induction coil when the primary circuit was broken between the poles of the electro- magnet, and then outside of them. The number of cells in the circuit was varied, and its resistance was several times changed, in order to vary the circumstances as much as possible ; and, at each change, a series of observations were taken to see whether the spark from the induction coil had any greater jjower of overcoming resistance when the primary circuit was broken between the poles of the magnet. A long series of observations on sparks, which were of all lengths from 2^ to 15 mms., justifies the statement that the distance over which the spark of the induction coiL would regularly leap was more than doubled when the circuit was broken between the poles. The absolute length of spark obtained depended, of course, on the electro- motive force in the primary circuit being apparently within certain limits directly proportional to it. In almost all cases, the length of OF ARTS AND SCIENCES. 219 spark was increased three or four times ; but in no one set of observa- tions was the spark less than doubled in length. These experiments were repeated several times on different days. I found great ditficulty in breaking the primary circuit uniformly, and it was only after a long time that my results became regular. I tried breaking from the surface of mercury ; but, although the same relative effects were attained, the actual effect was far inferior to that obtained when two bright copper wires were separated in the air. Rowland has shown that a very powerful electro-magnet is not needed, in order to obtain good results in studying Diamagnetism. lu order to see whether a small magnet would not do to increase the length of the spark, a small electro-magnet, capable of supporting per- haps two kilogrammes, was set up, and a series of observations taken when the circuit was broken between its poles. In this case, the length of the spark was just doubled. Might not a rather small horse- shoe electro-magnet be advantageously placed upon the Ruhmkoi"ff coil, so that the primary circuit should be interrupted between its poles ? I next put the electro-magnet in one circuit, and broke another cir- cuit containing the primary of the induction coil between the poles of the magnet. With this arrangement, two sets of observations were taken under slightly different circumstances. The results are given below in the actual space over which it was found that the sparks would just pass. The words " outside " and " inside " denote that the primary circuit was broken outside of the poles and between them respectively. Outside. Inside. 2i mm. 3 „ 12| mm. 20 „ Of course the relative increase in the length of the sparks depended upon the relative strengths of the two currents. When the electro- magnet is very weak, and the outside current very strong, subsequent experiments showed that there was little, if any, increase in the length of the spark. As a direct means of showing that the extra effect obtained by breaking between the poles is not mechanical, the following method 220 PROCEEDINGS OF THE AMERICAN ACADEMY was employed. The electro-magnet was placed in a circuit with two Grove cells. To the end of one of the large wires used for breaking the circuit a very fine wire was fastened, leading to one pole of a Thomson's Quadrant Electrometer, whose other pole was put to earth. Whenever the two large wires were separated, there was of course a deflection of the electrometer mirror corresponding to the difference of potential of the poles of the battery ; but, beside this, there was an increased effect when the circuit was broken between the poles, that seems to be unaccountable, if we assume the effect to be mechanical. When a condenser of about 1 Farad capacity was put into the cir- cuit, the following deflections were obtained : — Primarj' broken Primary broken outside. inside. 21 • 27 20.5 28 22 28 20 27 Mean 20.9 27.5 When no condenser was used, the deflections were as follows Primary broken outside. Primary broken inside. * 20 19 20 20 19.75 22.5 23.5 23.5 24. 23.4 The electro-motive force in the circuit was very small, hardly enough to render the poles strongly magnetic. With a i)roper electro-motive force, we might expect the effects to be more striking. In order to measure the increase of quantity obtained by breaking the primary circuit between the poles of the magnet, the electro-mag- net and the primary of an induction coil were placed in the same OF ARTS AND SCIENCES. 221 circuit as at first. Tlie poles of the induction coil were connected, the one directly, the other by means of the spark leaping between two points with a condenser of ^ Farad capacity. The poles of the con- denser were connected with a Thomson's galvanometer of 5880 ohms resistance. Each of the following results is the mean of two observa- tions. The length of spark was the same in both cases. Primary broken outside. Primary broken inside. 6 cells. 4 „ 17.5 ' 12. 21.05 17. The resistance of the six cells (Bunsen) was greater than the resist- ance of the primary circuit. On another day, the same arrangement gave the following result, where each is a mean of two observations : — Length of spark. Primary brdken outside. Primary broken inside. 1 mm. 3 „ 22 12 30 23 In a great many cases, where the magnet was quite powerful, it was not easy to get comparable results. Wl:\pn the primary circuit was broken between the poles, the spot of light was driven off the scale ; but, when the primary was broken outside, there was frequently very little deflection. At another time, a Thomson's mirror galvanometer of 6 ohms re- sistance gave, with an arrangement otherwise the same as above, the following deflections as a mean of twelve observations : — Outside 12.9 Inside 15.37. When the electro-magnet was in a separate circuit from the primary of the induction coil, the following observations were obtained with the Thomson's galvanometer. Each result is the mean of about twenty observations. 222 PROCEEDINGS OF THE AMERICAN ACADEMY Length of spark. Primary broken outside. Primary broken inside. 1 mm. 2 „ 3 „ 4 „ 21 20 1B.5 16.2 35.8 23 iy.9 17 All these results were taken, interrupting the primary circuit by separating two copper wires held one in either hand. Practice made the results then obtained quite accurate. I at first tried breaking from the surface of mercury ; but, beside the irregularity in the amount of the deflection, there was a most unaccountable change of jiolarity every few moments. I distrusted the evidence of my own senses so much in this case that I asked several other people to observe for me, without pre- viously telling them any thing of this change of polarity. In each case, the observer noticed the reversal for himself. The deflection was almost always in one direction when the circuit was broken between the poles, and in the other direction when the circuits were broken outside of the poles. This rule is not, however, absolute. This reversal of polarity only occurred when copper was used to break from the surface of the mercury. The separation of iron from iron, or copper from copj^er, or iron from mercury, never gave any reversal. This reversal was best seen with the electrometer. At several different times, I took a series of observations upon the deflection, by breaking inside the poles and outside of them when the distance over which the spark had to leap was varied. The curves obtained by laying down these deflections were not, as one might sup- pose, hyjjerbolas, but were apparently exponential curves, having the axis of X as an asymptote, but not the axis of y. A series of very careful observations was taken by observing the deflections when the distances over which the spark passed were small. The curves ob- tained by breaking the primary between the poles were similar to those obtained when the primary was broken outside. The observations were taken by breaking the primary with the interrupter of one of Ritchie's induction coils. The sparks passed between two circular discs of copper 10 cm. in diameter. , In the centre of one of the discs was an almost imperceptible protuberance, in order to insure the sparks always passing in the same place. One plate was fixed in a horizon- tal position ; the other was suspended, by a thin ivory handle perpen- dicular to its plane, to a glass rod placed in the telescope socket of a OF ARTS AND SCIENCES. 223 cathetometer. In this way, it was found possible to get the plates sensil)ly parallel. The poles of the induction coil were connected with a condenser ; one directly, and the other by means of the spark passing between the two discs. The condenser was then discharged through a galvanometer. The micrometer screw of the cathetometer reads easily to the yo'^^,^ of a millimetre, and observations were taken with its aid at intervals of .050 mm. The plates were considered to be in contact, whenever making the primary circuit gave any deflection in the galvanometer. The zero thus obtained was quite constant, where- as it was almost imj^ossible to tell by the eye just at what point the spark ceased to pass when the circuit was broken. The poles of the battery were kept apart when not actually in use, and it was supposed that the electro-motive force remained constant durino; the time of ob- servation. In laying out a curve, it must be remembered that there was a resistance of 6000 ohms already in the circuit. ICach of the following results i? the mean of a series of closely agreeing observations : — Separation of Deflections. plates in mms. .050. 183 .100 176 .150 164 .200 145 .250 180 .300 136 .350 123 .400 127 .4.50 120 .500 106 .560 102 .600 97 .650 92 .700 88 .750 90 .800 91 .850 95 .900 96 .950 88 1. 93 1.050 79 1.100 85 1.150 84 1.200 70 1.250 75 1.500 63 1.750 61 2.000 50 2.2.50 45 2.500 42 224 PROCEEDINGS OF THE AMERICAN ACADEMY When the sparks passed between the ends of two copjjer wires, f mm. in diameter, carefully filed so as to be parallel, the curves ob- tained were very regular, but of the same general shape. As an example, I give the following : — Dist. over wliich the spark leaped Deflections. in mms. 1 90 2 70 3 55 4 44 6 85.6 6 27 7 20 8 13 9 7 10 2.5 11 1.4 12 .8 Sir William Thomson has shown, in his paper on the " Electro-motive Force necessary to produce a Spark," that a greater force per unit of length is needed for short distances than for long distances. He does not state in his paper whether he experimented upon the Ruhmkorff coil or the Holtz Machine. In using the Quadrant Electrometer in measuring the electro-motive force of the sparks from an induction coil, it is, of course, necessary to use a small leaping distance from the sparks to avoid the return current. At times, I have found that a greater actual deflection was obtained when the leaping distance was as great as ^ mm. than when it was much smaller. May not Sir William Thomson's results be partly accounted for by induction in the same manner ? Another method of experimenting upon the extra s^iark obtained by breaking the circuit between the poles of an electro-magnet gave excellent results. One of the jioles of the induction coil was connected with the outer coating of a very small Leyden jar ; while the other pole connected with tlie inside coating through a small interval of air, to avoid the return current. The inside coating of the jar was con- nected by a very fine wire to a thin copper disc, 261 mms. in diameter. Opposed to the copper disc, at a perpendicular distance of 160 mms., was the end of a short rod, 1 mm. in diameter. Attached to the other end of the rod was a very fine wire connecting with one pole of the OP ARTS AND SCIENCES. 225 Quadrant Electrometer. The other pole of the electrometer was con- nected with the ground. The very fine wire leading from the oppos- ing section of the rod was so arranged that experiment showed no inductive effect from the disc upon it. When the primary circuit was broken, a spark passed charging the Leyden jar, and consequently the circular plate. The insulated plate was consequently charged to some constant potential V^, According to Maxwell's Electricity, Vol. I. § 177, and Thomson's " Papers," 233, the surface density at any point on a thin circular insulated plate is — G = 2n-i\/a' — m^ where a^ is the radius of the plate, and m the distance of the point from the centre. If the plate is in the co-ordinate plane x y, we have, — G = Vo The potential at any point (x,i/,z) in space due to this distribution is r Cdt] dy a , , , . , . rr^ J I —^ — ' smce the plate is thm. The limits must be so chosen as to comprehend the whole surface of the disc, and to avoid errors the point {x, y, z) must be opposed to the disc. t;. r rjio . j_ dx di/ At any fixed point {x^,yi, Zj), therefore, the potential is proportional to Fq. It was supposed necessary that the potential of the quadrants attached to the short rod, which was at a great distance from the elec- trometer, would be proportional to F^. The opposite quadrants were at potential zero, being connected with the earth ; and since, when the deflections are small they are proportional to the difference of poten- tial of the two poles of the instrument, it was supposed that the deflection of the electrometer needle would be a relative measure of the potential of the plate. A great many observations were taken with this apparatus, and the results agreed with the former ones, not only qualitatively, but very nearly quantitatively. I select the following series of observations to VOL. XI. (n. S. III.) 15 226 PROCEEDINGS OF THE AMERICAN ACADEMY show this. The difference is in this case not so widely apparent, owing to the extreme weakness of the current used ; it being at this time, in order to get small deflections, the weakest used in the whole of my work. Primary broken Primary broken outside. inside. 7.5 9.5 10. 9. 7.3 9.4 7. 9.5 8.2 8.5 8.2 9.2 10.6 9.5 9.5 8.6 5.2 8.4 10. 9.7 8.8 8.5 8. 9.4 6.5 10.5 9.4 10.9 7. 8.1 9.2 10. 5.3 8.7 10.5 12. 8.3 7.8 8.5 8.4 9.8 10.6 9.9 8.6 Mean 8.4 Mean 9.3 These were taken in sets of ten, with wonderfully close means, not- withstanding the apparently great probable error. Another series, with a stronger current, gave as the ratio of the results 1.364. The results of the investigation are as follows : — 1. By breaking the primary circuit of an induction coil in a magnetic field, the length of spark produced by the secondary coil is more than doubled in length. An application of this fact to the induc- tion coil is suggested. 2. The results by the different methods used all show an increase of electro-motive force when the circuit is broken in a mairnetic field ; and that the etfect cannot be purely a mechanical phenome- non, as M. Becquerel affirms. OF ARTS AND SCIENCES. 227 3. By breaking the circuit between mercury and copper in the ma"'- netic field, a remarkable change of polarity was observed with the electrometer. 4. An explanation is offered of the fact noticed by Sir William Thom- son, that a greater electro-motive force per unit of length is needed to produce a spark at a short distance than at a long one. The subject of this paper was suggested to me by Professor Trow- bridge, and throughout all my work he has kindly given me his advice and help. 228 PROCEEDINGS OF THE AMERICAN ACADEMY XVI. COXTRIBUTIOXS FROM THE PHYSICAL LABORATORY OF HARVARD COLLEGE. No. IX. — CONDENSERS AND GEISSLER'S TUBES. By William P. Wilson. In the secondary circuit of a RuhmkorfF's coil of 6000 ohms resist- ance was joined a galvanometer, and successively Geissler's tubes con- taining CO, H, and 0. The galvanometer was constructed from a RuhmkorfF's coil equal in resistance to the one used in the secondary circuit. U23on sending a spark through a Geissler's tube of CO, a deflection of 8 centimetres was given by the galvanometer. The light was strongest in the centre of the tube ; near the positive and negative poles of the platinum electrodes it was very feeble. The color in the middle of the tube shaded into red ; at the ex- tremities it was a pale bluish-white. The light in the enlarged part of the tube, approaching the positive pole, was beautifully stratified with alternate light and dark bands. A condenser, consisting of a Leyden jar of 66.5 sq. cm. surface, was connected with the opposite poles of the coil, and a spark again passed through the Geissler's tube. The galvanometer gave the same deflection of 8 cm. as before, but the difference in light was very marked. This increase in light did not show itself in the centre of the tube, but towards the extremities ; both poles, and especially the positive, becoming much more brilliant. The dark and light bands seen near the positive pole, before the introduc- tion of the condenser, now entirely disappeared. The Geissler's tube was removed, and an equal air resistance substituted. This was done by placing near together, and in line, the broken ends of the wire. By a micrometer adjustment, these wire points could be made to recede from or approach each other, until the galvanometer gave a deflection of 8 cm. with the condenser in the circuit. Upon sending a spark through this air resistance, having previously disconnected the con- denser, the deflection of the galvanometer was at once increased from 8 to 26 cm. The light did not vary as much as in the Geissler's tube, OF ARTS AND SCIENCES. 229 but could easily be seen to be brighter when the condenser was in the circuit. The following is the record of observations upon three gases, and the equal air resistance, with and without a condenser : — 1. Current passing through Geissler's tube of CO. With condenser, deflection = 8 cm. Without „ „ =8 cm. With „ light increased. Without „ „ decreased. 2. Current passing through Geissler's tube of H. With condenser, deflection = 8 cm. Witliout ,, „ =8 cm. With „ light increased. Without „ „ decreased. 3. Current passing through Geissler's tube of 0. With condenser, deflection = 8 cm. Without „ „ = 8 cm. AVith „ light increased. Without „ ,, decreased. 4. Current passmg through air resistance equal to the resistance of Geissler's tube. With condenser, deflection == 8 cm. Without „ „ = 26 era. With „ light increased. Without „ „ decreased. Let C, be the condenser ; ^S*, the entire energy of current which would produce magnetic effect ; L, that part of the energy expended in light ; and m, the deflection of the galvanometer. We shall then have in air : — Without C, S — L =(p (m) With C, 5 — Li = (/) (m^) m = 3.25 times jn^ L (wg) TO2 — Wig In other terms, having an air resistance equal to that of the Geissler's tube, the introduction of a condenser increased the light, and decreased the deflection of the galvanometer. Or replacing the air resistance with 230 PROCEEDINGS OF THE AMERICAN ACADEMY the Geissler's tube, the introduction of a condenser gave a marked increase in the light, much more so than in air, but no decrease in the deflection of the galvanometer. An attempt was made by Vierodt's method to measure the increase and decrease of light consequent upon the introduction and withdrawal of tlie condenser ; but it was found that the intensity was not sufficient to obtain any accurate results. It will thus be seen that the effect on the galvanometer was the same when any one of the gases was used ; and also that, when the Geissler's tubes were in the circuit, the condenser might be introduced or withdrawn with no visible result in the deflection of the galva- nometer. With an air resistance the spark was a small one with two bright points and a dark centre. This sparl^ gave a larger deflection of the galvanometer, but very little light. When the condenser was intro- duced into the circuit, the character of the spark was changed at once to a larger one of even intensity. The light was greatly increased, and the deflection of the galvanometer correspondingly decreased. But with the Geissler's tubes in the circuit, the only difference which could be observed between the sparks when the condenser was intro- duced or withdrawn was in light. The galvanometer continued to give the same deflection in both ca^es. A Geissler tube, therefore, affords a test for the presence and action of a condenser in the secondary circuit of an induction coil when a galvanometer fails to do so. OF ARTS AND SCIENCES. 231 XVII. ON VIVIPAROUS ECHINI FROM THE KERGUELEN ISLANDS. By Alexander Agassiz. Presented, March 8, 1876. The function of the deeply sunken petaloid ambulacra of several genera of Spatangoids, such as Moira, Schizaster, Hemiaster, and the like, has thus far remained unknown. Philippi, in 1845, while describing some South American Spatangoids, found in the deeply sunken posterior ambulacra of Hemiaster cavernosus minute Echini, wliich he regarded as the young of the species, though they diflfered widely from the adults, and seemed, from their shape and the nature of their spines, to approach nearer the regular Echini than the Spatan- goids. The Echini of this genus being but rarely found in collections, no opportunity occurred of verifying the observations of Philippi. A somewhat analogous observation was made by Grube, who described more in detail the young of Anochanus (Echinobrissus), which he found living under very similar circumstances, in a cavity opening in the abactinal pole of the specimens. No details of the nature of this cavity having been as yet published, it is not possible to compare these two modes of carrying the young in these two genera more closely. In Spatangoids, with deeply sunken ambuhicra, we find, nearly in all cases, that from the sharp edge of the ambulacral groove long spines extend, so as nearly to close the opening of the cavity, entirely bridging it over, and completely concealing from view the ambulacral pores. This arrangement has usually been considered in Spatangoids as a sort of filter to keep foreign particles from affecting the delicate water tubes, which in the Spatangoids perform more or less the func- tion of gills. This is undoubtedly the case in several genera ; but in the case of Hemiaster, and perha^^s in other allied genera, the sunken ambulacral area is used for an entirely different purpose, as was cor- rectly observed by Philippi, that of sheltering the young. That the many specimens (eight) found in the two posterior sunken ambulacral areas are really the young of Hemiaster, is of course only 232 PROCEEDINGS OF THE AMERICAN ACADEMY probable, from the fact that the genital openings, which are unusually large, open directly into the upper part of their sunken area ; so that the eggs (or more probably an imperfectly developed Pluteus, like that of Echinaster) on escaping from the genital openings would readily find their way into the artificial cavity formed by the spines which conceal the presence of the sunken areas. Unlike many Echini, the ovaries of this genus are small, consist- ing of compact grape-like clusters of eggs, in very different stages of development, a few of the eggs only attaining a considerable size (nearly 1 mm.) and apparently ready to escape into the sunken area, as soon as the place should be left unoccupied by the preceding brood. No two of the small Echini were in the same stage of development : they varied in size from 2 mm. to 3 mm., the smaller specimens having a somewhat pentagonal outline, with rounded angles ; the larger ones were more nearly elliptical and cylindrical in shape. In the smaller Fig. 2. specimens (Fig. 1), the spines were short, straight; the longest, and only a few in each interambulacral area, about one-fifth the length of the axis, while the greater number were mere tubercles, scarcely rising above the level of the test. In the largest specimens (Fig. 2), Fig. 1. Young Hemiaster, measuring 2 mm., seen from the abactinal pole. a,a, ambulacral spaces. The peripetalous fasciole is already developed. nmciMrVint nldpr Hpmiastpr nipnsiirincr S mm. appn frnm ral spaces, i lie peripetalous lasciole is alreaay develop Somewhat older Hemiaster, measuring 3 mm., seen from the ac side, a, a, ambulacral areas. tinal OP ARTS AND SCIENCES. 233 many of the spines, nearly equalling the radius of the test, had become curved and assumed the characteristic appearance of Spatangoid spines. Seen from below (Fig. 3), the large angular mouth, covered by a thick membrane, was nearly central, somewhat anterior, the edge of the mouth on the level of the test, and a few small indistinct pores (Fig. 4) Fi£ Fiff. 3. lo^ Fiff. 5. arranged in parallel lines, showing the position of the future actinal petal ; the ambulacral areas were occupied by coarse granulation, while the tubercles of the interambulacral spaces were large with well- developed crenulation, and already perforated. The interambulacral areas were already broad, leaving but narrow ambulacral spaces, in which the short, club-shaped ambulacral tubes could with difficulty be traced ; they were largest near the apex, and near the actinostome (Figs. 4, 5). Seen from above (Fig. 5), the most marked feature of all these young Echini was the broad fasciole, oc- cupying so large a part of the abactinal surface, the position of the interambu- lacral area being clearly marked by the two large tubercles at the extremity of these areas on the abactinal edge of the fasciole. The whole fasciole was covered by a coarse granulation. Fig. 3. Young Hemiaster denuded of spines, seen from the actinal side. „ 4. Portion of actinal surface of Fig. 3, adjoining actinostome to show structure of tubercles, a, ambulacral area with pores; ia, ia, adjoin- ing interambulacral spaces. „ 5. Fig. 3, seen from the abactinal side, somewhat more enlarged to show the position of anal system (a), entirely enclosed by the peripetalous fasciole {/), the few ambulacral pores of the lateral ambulacra, and the more numerous pores of the odd ambulacrum. 234 PROCEEDINGS OF THE AMERICAN ACADEMY The most striking feature in the structure of these small Echini 18 the position of the anal opening (Fig. 5, a). This is nearly in the central part of the abactinal surfiice towards the posterior edge, and entirely surrounded by the fasciole. This fasciole, from its position, must undoubtedly be the peripetalous fasciole, as it agrees in position with the same fasciole in Brissopsis, though in the latter genus it does not enclose the anal opening. In the adult Hemiaster the anal open- ing is not thus surrounded, an additional example of the little value we can place upon the position of the anal opening as a systematic character. The transfer of the anal opening to the exterior of the fasciole I was not able to trace, all the specimens being too young to show when it took place. There is no trace in these young stages of any genital openings, or of genital plates ; the ocular plates are somewhat more prominent than the other ambulacral plates, one speci- ally, that of the odd ambulacrum (see P'ig. 5). On opening one of these young Echini (Fig. 6), we find that, notwithstanding the posi- tion of the anal opening, the intes- tine already makes a half circuit round the edge of the test, and is attached to the sides by the usual mesenteries, the actinal extremity of the alimentary canal towards the an- terior end being free ; the stone canal also leads nearly yertically from the anal opening to a terminal interambulacral jjlate situated to the right of the odd ambulacrum. The anal opening is large, pentagonal, separating completely the trivium from the bivium, and is covered by a large plate having a small opening opposite the left posterior ambulacrum. ^ The only other young Spatangoid known, resembling so closely a regular Ecliinus, is a young Spatangoid figured by Miiller, while still in the Pluteus stage, with straight spines similar to these figured here in the youngest specimen. This was the first indication we had of the great similarity of the spines of the young stages in the regular and irregular Echini. The presence of an anal opening in the young •»»v Fig. 6. Section of Hemiaster, showing the course of tlie alimentary canal c', from the mouth m, to the anal system an ; c, the stone canal, extending from the circular ring to madreporic body md. OF ARTS AND SCIENCES. 235 Hemiaster connected, so to speak, with the abactiual system is a most interesting feature, as well as the complete separation of the biviurn and trivium, the origin of which among Echini had not been under- stood. The whole family of Collyritidaj, in which this is the normal state, appear in geological times as an abnormal group, disconnected entirely, and isolated from all the other Spatangoids, which it i:)recedes in time, and seeming thus far to have no connection with the Spatan- goids of later geological periods. Their connection as an embryonic stage is now clearly shown by the young of Hemiaster here figured, as well as the close relationship existing between the regular Echini and such Spatangoids as CoUyrites, appearing as the earliest geologi- cal representatives of the Spatangoids. The CoUyritidaj are, there- fore, not structurally so far removed as has been generally supposed from the regular Echini. The earlier development, that preceding the stage when the em- bryo escapes in to the ambulacral area, could of course not be traced satisfactorily. But enougli could be seen of the shape of the embryo mass to render it higlily probable that the development was very similar to that of other viviparous Echinoderms (Star-fish and Ophiu- rans), in which the young are carried about by the 25arents till they are well advanced star-fishes (Sars, Miiller, Agassiz), or hatched from the main cavity as well-developed Ophiuridie (Quatrefages, Schultze, Lyman, Agassiz), and where the plutean development is passed through in a very imperfect manner, owing to the rudimentary devolopment of the arras, which take such an extreme degree of growth in the pelasgic Pluteus of Echini and Ophiurans, traces only of these arms being found in the younger stages of growth of these vivi- parous Echinoderms. The specimens I have had the ojiportunity of examining were col- lected at the Kerguelen Islands by Dr. J. H. Kidder, the Naturalist attached to the Transit of Venus Expedition, and were sent to me for examination by Professor Verrill. He has described the species as new, under the name of H. cordatus ; but I cannot distinguish it from Hemiaster cavernosus and H. Australis, which I was led to consider (from analogy with H. Philippii) to be identical species. It is re- markable that, in the young stages of both these species, all the ambu- lacra are but little sunken, and it is only when they have attained a considerable size that the posterior ones begin to deepen. Philippi con- sidered this might be a sexual feature. We have not sufficient data to decide the question, but can only say that up to a certain size, at any rate, there is no difference in the depth of the ambulacra of males and 236 PROCEEDINGS OF THE AMERICAN ACADEMY females. See PI. IV., Figs. 4-8, Echini of Hassler Expedition. III. Cat. Mus. Comp. Zool. No. VIII. I have examined a large number of a common Spatangoid from our southern coasts (Moira atropos), with ambulacra still more deeply sunken than in Hemiaster, in hopes of finding the young, but thus far without success ; from the eggs of Schi- zaster canaliferus from the Mediterranean, in which some of the am- bulacra are also deeply sunken, a pelasgic Pluteus is known to be developed ; so that in many of the genera with sunken ambulacral petals the sunken area does not shelter the young in their earliest stages of development. OF ARTS AND SCIENCES. 237 XVIII. ON A POSSIBLE EXPLANATION OF TItE METHOD EM- PLOYED BY NOBERT IN RULING HIS TEST PLATES. By William A. Rogers. Presented, June 9, 1875. I RECOGNIZE the fact that no explanation of a purely mechanical process can be regarded as either satisfactory or final, which does not answer the crucial test of reproduction. I oiFer to the Academy what I believe may prove to be an explanation of the pi'ocess followed by Nobert in ruling his test plates ; the highest band which has been resolved under the microscope, reaching 112,600 lines to the inch. You properly ask me if I can reproduce these rulings. I frankly answer that I cannot. Indeed, I can hardly hope ever to succeed in producing lines which combine the wonderful delicacy, uniformity, and distinctness found in nearly all of Nobert's plates. But I have reached what I hope may prove to be a useful approximation to Kobert's results. Beginning with 2000 lines to the inch in 1871, I have now little difficulty in reaching 60,000, the width of each line being a little less than one half of the intervening space. Several of my plates have been correctly counted as far as 80,000 to the inch ; the observer having no knowledge of the actual number ruled. Two plates in the possession of Frederick Habirshaw, Esq., of New York, ' contain bands proceeding by 10,000 as far as 120,000 to the inch. The bands of both these plates were correctly counted by Samuel Wells, Esq., of Boston, as far as 80,000, but beyond that point the number counted was less than the number ruled. While the lines of the higher bands seem to be nearly as distinct as Nobert's, they are by no means as smooth and uniform throughout their whole length. The theory which I offer to the Academy is wholly the outgrowth ot my own experience. In the various experiments which I have made, I have noted the constant recurrence of certain results under certain conditions, and these results form the basis of my conclusions. Whether they form a true explanation of Nobert's process is, of course, 238 PROCEEDINGS OP THE AMERICAN ACADEMY entirely a matter of conjecture. I am well aware of the risk incurred in offering a theory which can at once be refuted by a single stroke of the pen. Nobert has well kept the secret of his process. If I have failed to detect it, it is easy for him to say, " You are wholly mis- taken." Even if this proves to be the case, the facts developed in the course of my experiments may possess sufficient interest to warrant their publication. The problem is naturally divided into two parts : — (a). The mechanical operation of moving the plate to be ruled over given and equal sj^aces. (i). The operation of producing on glass, lines of varying degrees of fineness. If a screw is employed to give the required motion, it would seem at first sight very easy to reach any desired limit of accuracy. In my own machine, the head of the screw, which is 11 inches in diameter, is divided into 100 equal parts. For subdivisions, a microscope is employed, having an eye-piece micrometer, 100 divisions of which exactly cover one division of the screw-head. It is therefore easy to read directly to y^^oo? ^"^ ^J estimation to 4000^ ^^ ^ revolution. Since the pitcli of the screw is ^\ of an inch, these numbers corre- spond to a motion of ^4^Vott ^"^ ^^tjVoo ^f ^^ inch. By a device which I shall presently describe, the subdivisions can be carried to tttttVott of ^ revolution. But nothing can be farther from the truth than to suppose that, because this high limit of theoretical accuracy can be reached, there- fore the lines ruled are separated by spaces accurate within the same limits. It is difficult to name the lowest limit of deviation from the truth which it is possible to reach ; but I have long since despaired of being able to rule, e.g. 100 lines, covering successive revolutions of the screw which shall contain no errors of any kind, whether in- dividual or accumulated, greater than ^jj^o^ inch. 1 have availed myself of every opijortunity to measure the ordinary stage microme- ters furnished by dealers in microscopes, and I find the usual range of error to be between ^^Vtt ^^^ to^ow ^^ ^^ inch. Of course the average error may fall far within these limits ; and, especially when the lines are closely ruled, the individual errors may seem by comparison insignificant ; but I have been unable to find any rulings which invariably surpass the limit which I have named. As an illustration of the limit of accuracy attainable, I give in Tables I,, II., and III., measurements of an excellent Nobert diffraction plate, a OF ARTS AND SCIENCES. 239 Rutherford diffractiou plate, and a plate ruled by myself for the pur- pose of investigating the errors of my screw. The measui'es were all made with a -^^ objective, and an eye-piece micrometer, 200 to the inch, the lines of which were about y^^o^ ^^ ^^ ^'^^^ ^^ breadth. Using a B. oculai', the value of one division was found to be la^ocr °^ ^^^ inch. With this arrangement, it was found easy to measure any given space to 3^(y^x)¥ ^^ ^^ '"*^'^ with considerable certainty. To eliminate errors in the micrometer, the same divisions were used in all comparisons. In the Nobert plate, the width of the lines is about xb^^u^ ^^ ^^ i'^^'h ; in the Rutherford plate, s^^jj^ of an inch ; and in my own, ^^^^o *^f an inch. The space measured was ^^^ of an inch. Table I. contains the residuals obtained by subtracting the meas- ure of each space from the mean of all the spaces. Table II. contains the residuals obtained by subtracting the error of each space from the error of the next consecutive sj^ace. Table III. contains the periodic errors deduced from Table I. 240 PROCEEDINGS OF THE AMERICAN ACADEMY TABLE I. RESIDUALS FROM THE MEAN. Spaces. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 I. Nobert. + Fraction of inch. 1 21700 1 76000 + -i- I 3S000 1 76000 0 + + 38000 1 16900 1 21700 1 152000 1 38000 1 + 50700 1 76000 + _ J__ 152000 + + + 7GO0O 1 19000 1 50700 1 19000 1 30400 1 50700 1 152000 II. Rutherford. "T" 2760 Fraction of inch 1 33800 1 27600 1 30700 1 101000 1 27600 1 43400 1 — 33800 1 — 101000 1 + 31)7000 1 + 101000 1 + 33800 1 — 33800 _J_ + 307000 1 — 101000 1 43400 1 60800 1 + — 307000 1 — 307000 1 + 43400 1 + 43400 III. Rogers. Fraction of inch. 1 ~ 44700 1 44700 1 + + + + + + + + 23800 1 34500 1 34500 1 447'00 1 108600 1 380000 1 253000 1 27200 1 27200 1 20000 1 33100 1 42200 1 57500 1 23100 1 108600 1 380000 1 34500 1 44700 OF ARTS AND SCIENCES. 241 TABLE II. CONTIGUOUS ERRORS. Spaces. I. II. III. Nobert. Rutlierford. . Rogers. Fraction of inch. Fraction of inch. Fraction of inch. 1 1 1 1 16900 15200 50700 2 1 1 1 25300 25300 76000 1 1 8 25300 152000 0 1 1 1 4 76000 21700 152000 1 1 1 5 38000 16900 76000 1 1 6 0 152000 152000 1 1 1 7 30400 50700 152000 1 1 1 8 9500 76000 30400 9 1 1 25300 152000 0 10 1 60700 1 50700 1 76000 11 1 1 16900 1 50700 152000 12 1 1 1 30400 30400 152000 1 1 1 13 15200 76000 152000 1 1 1 14 50700 30400 38000 1 1 1 15 15200 25300 19000 1 1 1 16 30400 50700 152000 1 1 17 0 13800 38000 1 1 1 18 50700 76000 152000 19 1 76000 0 0 VOL. XI. (N. S. III.) 16 242 PEOCEEDINGS OP THE AMERICAN ACADEMY TABLE III. PERIODIC ERRORS. Spaces. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 I. Nobert. Fraction of iuch. ~ 21700 + -L- ' 30400 ~ 16'J00 ~ 21700 ~ 21700 """ 13800 ' 7600 "T 11500 "T" 12700 1 "T lUOOO 1 "T" 30400 + J- 21700 + ^- ' 19000 + -^ 25300 + -i- ' 10900 + J- ' S900 + J- ' 16900 ' 38000 1 152000 0 II. Rutherford. III. Rogers. Fraction of inch. 1 33800 1 152000 1 + + + + 30400 1 152000 1 + 33800 1 152000 1 43400 1 30400 1 33800 1 50700 1 100300 1 50700 1 60800 1 ssoTo 1 30400 1 76000 1 60800 1 50700 1 100300 Fraction of inch. 1 44700 _1 22400 1 11500 1 8700 1 6900 1 6000 1 6700 1 5600 1 5700 1 7200 1 9900 1 19500 1 + + + + + + 47000 1 380000 1 50700 1 15800 1 18500 1_ 19500 1 44700 OF ARTS AND SCIENCES. 243 It is quite evident that in the three cases under consideration, there are numerous accidental errors amounting to ^y^oo ^^ ^^^ i"^^^ *"d more, while in the last case the evidence of periodicit}' is very decided ; its value at the maximum point being ggVo ^^ ^" inch. An exam- ination of the values in Tables I. and II., column IIL, will show how easy it is to be misled by a seeming accuracy when only consecutive spaces are measured. It is only when the errors become magnified by successive increments that they attract attention. The following will be found a very convenient and accurate method for measuring directly the magnitude of the periodic errors. First, a series of equidistant lines is ruled on thick glass, care being taken to use glass having a plane surface. It is better also to have the spaces correspond to equal parts of a revolution of the screw. On one side a heavy finding line is ruled. This band is then reproduced on microscopic cover glass, having a thickness of about y^^ of an inch. Of course care is taken to use the same part of the screw, and the same divisions of a revolution as before. By cementing the glasses together with balsam, face to face, but with the finding lines coinci- dent and on opposite sides, the periodic errors, if they exist, will appear under the microscope with twice their real magnitude. In this way it is easy to measure not only the maximum value, but the values corresponding to every division of the screw-head. If an objective of high power is employed, care is necessary to have the surfaces of both j^ieces of glass as nearly plane as possible. Mucli better results are obtained by using a piece of cover-glass not larger than -jJg^ of a square inch. Mr. John M. Blake, of New Haven, did me the kindness to i^hoto- graph on cover-glass, the plate whose measures are given in column III. By reversing the plates, in the way indicated above, he found almost precisely the same value for the maximum periodic error deduced above ; viz., ^xrVo of an inch. In passing, it may be interesting to note that though the lines of the Rutherford j^late are more distinct than those of the Nobert plate, and though the errors of spacing are considerably less, yet the former was rejected from the start as an imperfect one, while the latter gives excellent results, yet both plates will show with about equal distinct- ness four lines between the components of the magnesium line b. This is hardly in accordance with the theory that the optical test of paral- lelism of lines, and of equality of spacing, is far more perfect than the test of actual measurement. It is evident that the theoretical limit of accuracy required, in order to produce the solar lines in the greatest 244 PROCEEDINGS OF THE AMERICAN ACADEMY perfection, has rarely if ever been reached in actual practice. All the evidence seems to point to the conclusion that the brilliancy of the spectrum depends as much on the character of the lines, and especially on the character of the edges, as on the equality of the spacing. It is obvious, then, that the errors which are to be the most feared, both on account of their magnitude and the likelihood of their escap- ing detection, are those which are periodic in their character. To the investigation of the sources of these errors, in my own machine, sev- eral months of careful study have been given. Without entering into a detailed account of fruitless experiments, I will give only the conclu- sion at which I have arrived ; viz., that the periodicity resides, not in the screiv itself, hut in the mounting of the screw. The evidence on this point seems to be conclusive. In a large number of separate measurements extending over several weeks, substantially the same system of values as those given in column III. were found. These values were also constant for different parts of the screw. Conjectur- ing that the trouble might arise from unequal friction between the screw and the nut at different parts of the revolution, owing to the want of parallelism, between the screw and the fixed way on the bed of the machine, a slight movement was given to the adjusting screws, which clamped the split nut. At once the system of corrections was wholly changed, not only in value but in sign, and the values now found, remained constant under every variety of tests applied. After a few weeks, a slight movement was given to the screws holding the ^\niQ against which the precision screw works as a shoulder. The sign of the errors was again changed, but their magnitude was very much reduced, amounting at the maximum to about ^j^j^tj of an inch. This system of errors also remained, as long as no further changes were made. Having definitely found by these and several other similar experi- ments that the periodicity was not due to the precision screw itself, but to the constrained motion caused by unequal friction between the nut, the screw, and the ways on which the gravity slide, which carries the plate to be ruled, is moved, I addressed myself to the task of removing as far as possible this source of error. While I have not succeeded with entire satisfliction, the errors of a periodic character have been so much reduced that those which still remain give no seri- ous trouble. By a device to be presently described, these residuals are overcome by an automatic movement connected with the screw itself. Omitting an account of many fruitless trials, I describe the following permanent changes which were finally made. OF ARTS AND SCIENCES. 245 («) The ways over which the gravity slide moves, one of which was at first A shaped, and the other plane, and both of which were per- manently fixed, were both made /\ shaped and both movable. The ends nearest the point where the bearing of the shaft of the screw works against its shoulder, were pivoted. The other ends were made adjustable with set screws. The precision screw being set in its nor- mal position, and attaclied to the slide by its nut, the ways are set parallel with the screw by the motion of the slide upon them. (b) The nut, which at first was only about one inch long, was made four inches in length, being one half the length of the screw. About equally good results were obtained with a lead and a brass nut. The lead nut is much the more difficult to make, as a tap cannot be used. Even when it was cut with a chaser on the lathe, it was found impossible to get a smooth thread until the very simple remedy of keeping the interior wet with a strong soap lye was tried. The nut having been fitted to the screw, the threads were reduced to a homogeneous system, and at the same time polished, by grinding with the finest emery. It should be remarked that the screw was originally finished in this way, using coarser emery at first. The rule adopted was to grind the screw till all tremor perceptible to the touch in the passage of the uut over the entire length of the screw disap- peared. (c) In order to set the screw parallel to the ways in a vertical direction, a hollow cylinder was firmly attached to the under side of the gravity slide. The screw, with the nut upon it, and passing through this cylinder was first set in position. The gravity slide having been firmly clamped down upon the ways, the oi)en space sur- rounding the nut was then filled with plaster of Paris. In this way the screw is set in perfect adjustment for one position of the gravity slide. Practically, it is found to be in good adjustment for every position upon the ways. But any slight deviation from adjustment in a horizontal direction is corrected by means of the adjustable ways, while that in the vertical direction is for the most part overcome by leaving one end of the ijrecision screw free. Good results have also been obtained by using a " free nut." In this case nice adjustments are unnecessary, as the nut moves freely upon the screw, pushing the gravity slide before it. If this ari-ange- ment is adopted, care should be taken that the nut, if not symmetrical with respect to the screw, should fall freely in the direction of gravity, and bear at every point throughout its whole length against whatever holds it in position while the screw is in action. The most serious 246 PROCEEDINGS OF THE AMERICAN ACADEMY objection to this arrangement is a certain amount of lost motion, which seems inevitable. It is not to be inferred that all periodic errors have been overcome by the arrangement described above ; but experience has shown that they have been very much diminished. In fact, I have never succeeded in ruling but two precisely similar plates, in which there was an exact coincidence of every line from beginning to end, when examined under the microscope. In one plate of 100 lines, ruled with great care, each interval being tj^^^;^ of an inch, there are, according to three indepen- dent measures made by different persons, 84 cases in which the errors are less than xtjo¥(T^ ^^ ^" inch, and the greatest individual error is TT JttT) o^ ^^^ ^"^'^ ' ^^^ ^^^^ maximum jjeriodic error varies with the different observers between ^q^ttf ^^^ 3'^onTj of an inch. Nobert's bands proceed by increments of 5630 lines to the English inch. The following table gives the number of lines to the inch in each band. Band. Lines in an inch. Band. Lines in an inch. 1 11259 11 67556 2 16889 12 73186 3 22519 13 78816 4 28148 14 84445 5 33778 15 90075 6 39408 16 95705 7 45087 17 101334 8 60667 18 106964 9 56297 19 112594 10 61926 How are these Lines accurately spaced ? The ordinary way is to give to the head of the screw, which carries the plate to be ruled, the desired movement over equal intervals by means of a ratchet and pall : but this method is open to the two objec- tions, that one is limited to the number of teeth cut on the disc, or to an even combination of them ; and, also, that all errors of the gear- cutter with which the ratchet was originally cut are transferred directly to the rulings, with the addition of other errors arising from want of centring, &c. I have employed for this purpose the following device, which, as far as I am aware, is new in its application : A rigid arm two feet in OF ARTS AND SCIENCES. 247 length vibrates upon a shaft set exactly in a line with the precision screw. At one end a magnet, fitted to the curvature of the head of the screw, is attached by eight pivots in such a way as to give parallel mo- tion with respect to the arm. The outer portion of the head of the screw consists of a rim of soft iron, which operates as an armature to draw the magnet to it when the circuit is completed. The other end of the arm works between two stops, one of which is adjustable. The action, then, is this : the circuit being completed, the magnet becomes firmly attached to the head of the screw, and by the movement of the arm from one stop to the other, it is carried over a given space. The cir- cuit being broken, the arm during the reverse movement carries the magnet with it without disturbing the precision screw. In order to guard against every possibility of disturbance, a second magnet holds the head of the screw in place while the first one is moving back to prepare for the next increment of motion. By varying the distance between the stops, any desired motion whatever, within certain limits, can be given to the screw. From repeated experiments, it is found .that about twenty movements of the arm for x^oo^ ^^ ^ revolution of the screw-head can be made without varying more than one from this number. If now the lower stop is replaced by a wheel made to revolve simul- taneously with the head of the screw, and if to the periphery of this wheel a curvature is given corresponding to the known errors of the screw, it is obvious that the screw can be made to correct its own errors. Thus, if at any point in its revolution the screw gives too small intervals, the periphery of the wheel must be filed away enough to increase the space ruled by the amount of the error. I am indebted to Professor Joseph Wiiilock, the late Director of Harvard College Observatory, for the suggestion of this elegant method of overcoming the residual errors of the screw. How are Robert's Lines of Varying Degrees of Fineness ruled on Glass ? First of all, the evidence seems quite clear that they are ruled with a diamond having a knife-ediie. In all of the cases which I have examined the lines start in with a curvature, which is maintained throughout the whole extent of the band. I have been able to produce this result only by setting the cutting edge of the diamond slightly inclined to the direction of the line ruled, and this inclination seems to give a decided improvement to the character of the lines. 248 PROCEEDINGS OF THE AMERICAN ACADEMY I assume that Nobert uses a prepared diamond, inptead of a natural crystal. It is everywhere assumed by writers on the subject, that only the natural crystal possesses perfect cutting qualities. While this is probably true where a deep cut is wanted for the purpose of fracture, it does not seem to be true where distinct, smooth, and uni- form lines are desired. I believe this is also the experience of Mr. Rutherford, who long ago abandoned the natural crystal, either unbroken, or broken into chance fragments. A circular point is objectionable for several reasons, mainly on account of its lack of durability. Starting with the theory that Nobert's lines are ruled with a highly polished knife-edge diamond, I had constructed from my own designs an apparatus for preparing diamonds in this way. The machine does not differ from the ordinary tool of the lapidary, except in two particulars ; but these are vital to success. It is well known that diamonds can be ground and perfectly polished only in the direction of the cleavage planes, of which there are twenty-four in every perfect stone. A skilful diamond-worker will locate the posi- tion of these planes by simple inspection. I found myself obliged to employ the more tedious, but not less sure, method of finding them by a tentative process. The machine was therefoi'C so constructed that the direction of the cleavage planes could be detected after a few trials. Again, it is customary either to press the lap, on which the diamond dust is placed, up against the diamond, which is set in a rigid holder, or else to connect the holder to a rigid shaft by means of an interven- ing flat spring. In either case, the diamond is liable to crumble when it is reduced to a sharp edge. In the arrangement adopted, the holder containing the diamond is free in the direction of gravity only. This action is secured by two shafts set at right angles, and connected with the required supports by three universal joints. By weighting the horizontal arm or by lifting it with a spiral spring, the pressure can be regulated with great nicety. The lap has a circular movement, while the frame in which it rests has two motions in a horizontal plane, at right angles to each other. In order to give a motion in revolution to the holder, for the purpose of grinding circular points, a Hook joint is used to connect it with a driving pulley. It may be proper at this point to offer a few observations, derived fi-om experience, on the kind and quality of glass best suited to receive delicate lines. I have previously made some remarks before the Academy on what, for the want of a better term, was described as the OF ARTS AND SCIENCES. 249 grain of polished crown-glass. Subsequent observations have not entirely confirmed the views expressed at that time. Siill, there does not seem to be much doubt but that certain kinds of glass are capable of receiving perfect lines only in one direction. When the lines are ruled at an angle with the general direction of the grain, the edges at once become serrated if they are very fine ; whereas, if they are coarse, they either become enlarged throughout their whole length, the edges remaining smooth, or else they wholly break up, presenting a very ragged appearance. If the lines are as fine as 25,000 or 30,000 to the inch, this delicately serrated appearance can be detected at once ; whereas, if the lines are coarse, several days may elapse before the tension by which the particles seems to be held together, is broken. Two instances occurring in my own experience may serve to illustrate this action. In one, while I was examining a set of lines some days after they were ruled, I was fortunate in seeing two or three lines enlarge throughout their whole length. From being fine lines, they became, almost in an instant, very heavy lines, smooth, black, and of excellent quality every way. The action of breaking up was just slow enough to enable me to follow it. In the other, the lines had been ruled about two weeks ; and for protection they were covered with microscopic glass, closely cemented to the surface. During my examination, the whole surface became completely broken up. Such was the force of the explosion that particles of glass -xoVrr of an inch in length were driven a distance of yJo of an inch. In fact, the debris covered the whole surface of the glass under exam- ination. All the particles presented a curved appearance ; and, with hardly an exception, the curvature was always in the same direction. On both of these plates lines were afterwards ruled in an opposite ■ direction, but without noticeable results. It may be said that this phenomenon was due to the peculiar action of the cutting crystal with respect to the surface of the glass ; but in all subsequent experiments, in which similar but less stiiking results were noticed, lines were ruled in both directions at the same time, and under the same conditions. In the case of a particular importation of polished crown-glass from Chance & Sons, the evidence of grain is so marked and of such constant recurrence that all the large plates have been cut into slides 3X1 inches, in the direction indicated by the observations. In general, the direction of the grain can be detected at once by the appearance of lines as fine as 30,000 to the inch, while coarse lines may retain their initial character for several days. The present indications are that the grain is only surface deep, and 250 PROCEEDINGS OP THE AMERICAN ACADEMY that it is the result of polishing in one direction. Common window glass seems to be wholly free from it. Nobert's lines are ruled on microscopic cover-glass about ^l^ of an inch in thickness. The evi- dence of grain in this kind of glass is strong ; but it is hardly decisive. In some specimens it is very marked, while in others it seems to be entirely wanting. Indeed, any conclusions on this subject must be regarded as only provisional, owing to the extreme difficulty of sep- arating the action of the cutting crystal upon the glass from the effect due to the character of the glass itself. It is, however, safe to say that in certain kinds of glass the best results can only be obtained by ruling in a given direction. In order to rule bands with lines separated by intervals, e.g. of ^0000 ^^^ inch, it is of course necessary to rule single lines whose width is less tliau this. Great precaution is requisite here, in order to avoid optical delusion. Every microscopist is familiar with the phenom- enon of false lines. To avoid errors from this source, a few single lines are ruled between two heavy finding lines. They are then filled with graphite. This precaution is necessary in order to give both visibility and distinctness to the edges. If the lines are not filled, they may appear much finer than they really are ; that is, the objective being in focus for the bottom of the furrow may fail to reveal abrasions of the surface on either side. The graphite of the New York Graphite Company will easily fill the finest line that can be ruled with a diamond. In order to measure the width of the lines, the following plan is adopted as presenting some advantages over the usual method of esti- mating it by comparison with the known value of a given division in the eye-piece micrometer. First, a single line is ruled, which in the eye-piece apparently ex- actly covers the line to be measured under the objective. A few trials will suffice for this purpose. Having found what weight must be applied to the diamond to produce such a line, the next step is to ascertain how many lines, exactly like this one, can be ruled within the space of ^^-j^ of an inch with a minimum space between each line. This will also require a few trials. For example, if with a -jV objec- tive and a B ocular, the space ti^tttt ^^ ^^ '"^^ ^^ the eye-piece corre- sponds to jshjj^ of an inch under the objective, and if it is found that fifteen lines can be ruled within this space, then the width of the line under examination is tj^tttt X tV = ^^^^rrtTTT ^^ f*" '"^'^ 5 ^ result which is obviously within the truth, especially if the line in the eye-piece is made a shade larger than the line under the objective. Tested in OF ARTS AND SCIENCES. 251 this way, the lines of Nobert's 1 9th band are about x^^^ott ^^ ^^ iii*^^^ in width. The photographs made by Dr. Woodward seem to give a little greater value. The finest lines I have succeeded in ruling are about xB'oVoo ^^ ^^ i^ch in width. These values are substantially the same as tliose given by Dr. Royston Pigott, as representing the ulti- mate limit of visibility under the microscope. The smallest angle at which an object can be distinctly seen is stated by him to be 6", while other writers place it as high as 60", or even 120". Even the smallest value named is much too large. I will at any time undertake to rule a single line, ^qooT) *^f ^^ "^^^^ i'l breadth, which can be seen at the distance of seven inches from the eye. This corresponds to an angle of about 1''. In this case the line is filled with plumbago, but, if it is reflected from a silvered surface, it can be easily seen at the distance of eleven inches from the eye. Comparing minute particles of matter which can be seen under a Tolles -jV objective with those which can be measured, in the way indicated above, there is every reason to sup- jwse that the limit of visibility falls beyond 4^oVo o ^^ ^'^ inch. It is quite possible that the conclusion reached by Sorby, that the microscope has already reached the limit of its power in separating lines whose distance apart is equal to one half of a wave length, may be found to be justified by future observations. It is certain that no lines heyond Nobert's 19th band have ever been resolved. The great difhculty in distinguishing true from spui'ious lines has caused more than one skil- ful microscopist to doubt whether the resolution has been certainly carried a far as that point. But that light is "of too coarse a nature " to enable us to see particles of matter as small as ^-q^Vo^ ^^ ^'^ inch, is a conclusion which can be refuted without the slightest difficulty. How are Noherfs Finest Lines produced'? In trying to answer this question, I shall give the results of four distinct lines of investigation. Neither of these furnish conclusive evidence, but they are all suggestive of possibilities. I. I have already stated that there is strong evidence that they are ruled with a diamond having a knife-edge. To this is added a fact derived from my own experience, and confirmed by a trial of several months ; viz., that when a diamond, having a polished knife-edge, is set slightly inclined to the direction of the lines rided, its riding qualities improve with use. The diamond with which bands of 50,000 lines to the inch were first successfully ruled would at first barely rule 10,000. It 252 PROCEEDINGS OF THE AMERICAN ACADEMY was only after a service of several weeks, its position in the holder mean- while remainiug unchanged, that the highest limit named was reached. Four new diamonds have since been mounted with precisely the same result. It is not to be understood that this remark holds entirely true for heavy lines, such as are requisite for good diffraction plates. It is the experience of Rutherford and others, that one of the chief difficul- ties in producing such plates is the inability to find a diamond which will do its work equally well throughout the entire process of ruling. But when only very fine lines are desired, the longer the diamond is used, the greater the pressure which can be applied without increas- ing the size of the line. In this way the lines can be made much more uniform throughout their entire length, than when the diamond barely touches the surface. One can hardly say that the diamond sharpens itself by use, but there is some evidence that the wear is greater on the two faces than on the knife-edge. When the diamond does its work perfectly, the cut, even of the finest line, produces a sharp singing sound. My ear has become so accustomed to this peculiar tone, that I can judge of the quality of the lines ruled almost as well by sound as by sight. In ruling the highest bands, this sound can be heard throughout the entire length of every line. It does not always have exactly the same character, however, being sometimes much sharper in tone than others. II. From Mr. Herman, a successful diamond worker of New York, I learned a fact which was thought to be of sufficient importance to justify a somewhat difficult experiment. He stated to me that his experience had shown him that the only really hard points of a dia- mond are those where the line formed by the intersection of two faces terminate. His directions, therefore, were to grind the faces to a knife- edge, exercising great care to leave the natural line of intersection untouched as far as possible, and then to grind and polish a face nearly at right angles to this line, stopping just at its extremity. He assured me that the success of the experiment would depend entirely upon neitlier falling sliort or going beyond this point. Only one dia- mond has been successfully prepared in this way, and even in this case it is not quite certain that this requirement has been met. Its perform- ance is sufficiently good to warrant further experiments. III. I am indebted to Mr. D. C. Chapman, of New York, for a third method of preparing a ruling diamond. It is allowed by all familiar with the subject, that the natural face of a crystal is harder than any surface formed by breaking the stone into chance fragments. By splitting a stone in the direction of a cleavage-plane, forming an OF ARTS AND SCIENCES. 253 angle of about 40*^ with this natural face, an exceedingly sharp knife- edge may be formed, possessing excellent ruling qualities. Moreover, in ruling heavy lines for diffraction plates, the cutting-edge retains its form for a long time. In setting the diamond for ruling, the natural f;ice should be slightly inclined to the surface to be ruled. The Bra- zilian " bort " seems to give the best and most durable cutting-edge. With a diamond prepared in this way, the line formed by the inter- secting faces being about -j^ of an inch in length, I find little trouble in ruling from 60,000 to 80,000 lines to the inch. ' IV. A few months since Mr. R. C. Greenleaf, of Boston, placed in my hands a Nobert plate which had been entirely spoiled by the inti-oduction of some kind of fluid between the ruled glass and the shde on which it was mounted. Mr. Greenleaf requested me to under- take the restoration of this plate, kindly offering to assume all the risk of failure. The cover, which had been imperfectly cemented to the slide with something like opal cement, resisted every attempt at loosening. As a last resort, two pieces, about ^ of an inch square, were cut with a diamond from the centre of the cover glass. After several trials, one of these pieces was cleaned and remounted without material injury to any of the bands. The 19th is quite as easily re- volved as in other Nobert plates. The other piece, being less perfect, was made the subject of a some- what careful study. Among other experiments, an attempt was made to fill the lines with graphite ; but it was found impossible to do so. Even the coarsest lines would not receive and hold it. As I had never before found any difficulty in filling lines either coarse or fine, this result, so entirely unexpected, was noted down as one of which no explanation could be given at that time. A few w'eeks afterwards, I succeeded in reducing a black carbon to a knife-edge. Upon an examination of the first lines ruled with it, two facts at once engaged my attention. First, the lines were finer and smoother than any I had ever before ruled. They possessed that quality of glossy blackness which characterizes nearly all of Nobert's lines. Moreover, they seemed to stand out more boldly in perspec- tive than lines ruled with the ordinary diamond. Every one who has made a study of Nobert's diffraction lines will at once recognize this boldness of perspective as a characteristic feature. Secondly, I was equally surprised to find that the lines would not receive and hold grapldte. As these results were confirmed by further observations, it did not seem too much to say that possibly the secret of Nobert's success might 254 PROCEEDINGS OF THE AMERICAN ACADEMY consist in his use of a prepared carbon. The natural stone is entirely unfit for ruling purposes. But it appeared subsequently that this conclusion was quite too hastily formed, as far as the capability of receiving graphite is con- cerned. During all these observations, the position of the diamond in its holder remained unchanged ; but it was afterwards found that, by giving it a certain inclination with respect to the surface of the ruled plate, it was possible to rule lines, both coarse and fine, which would receive the graphite in the most perfect manner. In general, however, lines ruled with a carbon will take the plumbago perfectly but once. If they ai'e filled and the surface of the glass is afterwards cleaned by rubbing, it is not possible to fill them equally well again. As the fill- ing is not disturbed by mounting in balsam, the better way is to clean the glass thoroughly before ruling, and then mount permanently after the first filling. Though the carbon is reduced so perfectly to a true knife-edge that the intersection of the two faces appear as a line when examined with an eye-piece of high magnifying power, it is apparent, nevertheless, that the cutting-edge is composed of distinct and separate crystals ; for in many cases two lines have been ruled at the same time. Gen- erally one is much coarser than the other. Indeed, by regulating the pressure, companion lines can be ruled so fine that it is impossible to see them until they are filled. The setting of the diamond to rule lines of a given kind and quality is simply a question of time and patience. In one hundred trials, jjerhaps two or three may give lines which will receive plumbago, four or five may give double lines, and one or two may give lines of great delicacy. Great care is neces- sary in the preservation of the minute cutting crystal when once found. Notwithstanding the most careful manipulation, it often gives way without visible cause. In several instances, I have been able to locate the exact point where it was destroyed. In general, the best results have been obtained with the prepared carbon. It is, however, somewhat capricious in its action. The labor of preparation is also much greater than with the African or the Brazilian diamond. The process of grinding occupies from five to ten days. That it is much harder than any other kind of diamond is conclusively shown by the fact that one specimen in my possession has been used in shaping a jewel weighing 180 carats, with only a trifling abrasion of its surface. In conclusion I ought to say, in explanation of the somewhat incom- plete and fragmentary character of this investigation, that it has been OF ARTS AND SCIENCES. 255 the gradual outgrowth of experiments undertaken for a different pur- pose. Indeed, whatever has been accomplished thus far may be said to be the result of an unsuccessful search after a spider that would spin a web suitable for the meridian circle of Harvard College Obser- \'atory. Failing to find suitable " spider lines," an effort was made to produce on glass, lines of the desired quality and size. This was finally accomplished by etching with hydrofluoric fumes ; the lines having been first ruled in a coating formed by dissolving white wax in gasolene, and uniting the solution by emulsion with liquid gelatine. The coating thus formed will receive lines as fine as 10,000 to the inch, while its protecting qualities are sufficient to withstand very strong fumes. The subsequent experiments detailed in this paper have occupied my attention from time to time during the past three years, when not engaged in my regular duties as Assistant in the Observatory. 256 PROCEEDINGS OP THE AMERICAN ACADEMY XIX. MOUNTAIN SURVEYING. By Professor E. C. Pickering. Kead, Jan. 11, 1876. The difficulties and expense of a topographical survey are always very great ; and this is particularly the case in a mountainous country, owing to the short horizontal interval between the contours, their irreg- ularity, and the labor involved in reaching the more elevated portions. The objections to the usual trigonometrical methods are, that the theodolite, or transit, needed to measure the angles, is heavy, liable to injury when carried over a rough country, and the time required to measure each angle is considerable. The labor and cost of measuring a base-line are also very great. Moreover, the accuracy attained is much greater than is ordinarily needed ; since, as the land is commonly of little value, there is no need of determining positions with more accuracy than they can be shown on a map. If tlie tract of country is large, a scale greater than looV^^' ^^ stto^cJ' ^^ rarely used; and, owing to the unequal expansion and contraction of the paper, long distances could not be measured with accuracy on such a map much nearer than within fifty to one hundred metres. Another objection to the trigonometrical method is, that the work must be carried oa continuously from one base to the other ; and no positions can be deter- mined except by connection with a base through a series of triangles. If, however, the latitudes and longitudes of several points are ascer- tained, each of them may be used as a centre from which the form of the surrounding country may be detex*mined ; and an error in one will in no way affect the position of the others. The problem proposed, therefore, was to devise some instrument which should give approxi- mately the distance and elevation of a mountain summit or other object, and which at the same time should be light and not easily injured. AVith such an instrument, an exploring party, whenever they camped at a point commanding an extensive view, could, during the OF ARTS AND SCIENCES. 257 night, determine their hititude and longitude, and, during the day, locate all prominent visible objects. To measure small distances, the method of the stadia and telemeter gives excellent results, but is open to the objection that an assistant is needed, who must carry a graduated pole to each point whose distance is to be determined. This method also is only applicable to short distances ; as beyond five hundred, or at most a thousand metres, the pole appears so small, that its apparent length cannot be determined with accuracy. These difficulties are, in a great measure, avoided in the following instrument. A good traveller's telescope, or spy -glass, is mounted firmly on a tripod, and a spider-line micrometer or scale of equal parts is inserted in its eye-piece. In front of the object-glass is fastened a piece of plane-glass, which may be set at any desired angle, and clamped firmly. The angle may be roughly measured by a small circle divided into degrees. The whole is free to turn around the axis of the telescope. To measure the distance of any object, D, Fig. ], the angular magnitude of the divisions of the scale in the eye-piece, is first determined by the usual methods. The telescope is ^ * I> * then mounted at A, and directed towards D, d , taking care to select for it some sharply defined object, as a rocky crag, the trunk of a tree, or the edge of a snow-bank. Select a second object, C, nearly at right angles to D, ^ ' and turn the glass in front of the telescope Fig. 1. until the reflection of C in its front surface shall be in the field at the same time as the image of D transmitted through the glass. Measure accurately the interval between the two images with the micrometer. Next measure off a distance AB from A towards Cof one or two hundred metres, and place the telescope at B. Again measuring the interval between the two images, takino- care not to disturb the mirror, a result will be obtained which will differ from the previous measurement by the angle ADB. From this triangle we deduce DB = AB - — ^ = AB sin A — r— , in which ° sin D as ' d is the difference in the scale-readings, and s the magnitude of each division in seconds. A should be taken nearly 90° ; in which case sin A will very nearly equal unity. Its value may be found with suf- ficient precision with the divided circle attached to the mirror, or by a plane-table. The greatest accuracy will be attained when AB has VOL. XI. (N. 8. III.) 17 258 PROCEEDINGS OF THE AMERICAN ACADEMY such a value as to make the angle at D nearly twice the diameter of the field. To determine the degree of accuracy attainable with such an instrument, suppose the diameter of the field of view 1'^, and that an error of .1' or 6" is committed in the measurement, — a large error, considering how accurately seconds are determined with the spider-line micrometer in astronomical work. Su2)pose, again, that the object D is ten thousand metres distant, or 6.21 miles, and that AB \?, taken equal to two hundred metres : the error in question would then equal only fourteen metres, or forty-six feet, — a quantity quite insensible on the scale proposed above. Again : if the object is fifty or a hundred kilometres distant, it is only necessary to increase AB in the same proportion, and we shall still be able to measui'e the distance of D with the same proportionate accuracy, without yet using a base of inconvenient length. In this way, if the country is dangerous, the observer may measui'e the distance of all visible objects without going far from camp. Comparing this instrument with the stadia, we see that it has the advantage that it is not necessai-y to send a man to the point to be measured, and that the accuracy is the same as if he could carry a pole one or two hundred metres in length. Three methods have been employed for the determination of heights. First, by the barometer. But this involves a visit to every point to be measured, and, at the best, is very inaccurate. Observa- tions in Switzerland and California have shown, that with the best barometers, after applying all the known corrections, and even if each observation is the mean of thirty, taken once a day for a month at the same hour, at both the upper and lower stations, there still remains an uncertain error, amounting sometimes to two per cent of the whole height. How much greater, then, must be the error of a single reading, often made without simultaneous observations below, and with the defects of an aneroid added to the other errors! The most accurate method of determining a height is by levelling ; but the labor and expense of this are too great to allow its frequent use in moun- tainous countries. The third method is that of zenith distances, which is largely used in the Coast Survey for determining heights. The altitude is here observed by a large vertical circle, which must be read with the utmost precision, since the angle, if the object is distant, rarely exceeds two or three degrees. It is claimed that at least an equal degree of accuracy may be attained by the instrument described below, while the expense of a graduated circle and delicate mounting is wholly avoided. The principle employed is that of the zenith telescope, so largely emjjloyed in determining the latitude. It consists OF ARTS AND SCIENCES. 259 simply of the telescope, described above, turned around its axis 90°, and a delicate level screwed firmly to its tube. To make sure that the telescope is turned by precisely the right amount, it is well to have a second level at right angles to this to render the threads of the mi- crometer exactly horizontal. The size of the divisions of the level and of the micrometer must be previously determined; their relative value being most easily found by directing the telescope towards any distant object, and slightly inclining it, so that the bubble shall occupy various positions in the tube. The corresponding positions of the object are read by the micrometer, and a curve constructed with ordinates equal to these readings, and abscissas to the position of the middle of the bubble of the level. The reading of the micrometer corresponding to a perfectly level line must next be determined. This may be found by setting the telescope up at two not very distant points, and reading the height of each from the other. The mean will give the direction of a horizontal line ; since the elevation in one case equals the depression in tiie other. The direction is, however, best found by observing the height of some known objects ; since this eliminates various errors, as will be described below. The height of any object is more readily determined by direct- ing the telescope towards it, and bringing the bubble nearly to the centre of the tube. Then read the position of the object by the mi- crometer ; and, finally, read the exact position of the two ends of the bubble, taking care not to touch the telescope. These readings may then be reduced to seconds of altitude, as follows : Call A the required altitude in seconds, m the reading of the micrometer, 7n} its reading when the telescope is directed towards an object at the same height as its own, and b the mean of the two ends of the bubble of the level. Again, let s equal the magnitude of each division of the level in seconds, and I the corresponding magnitude of the level divisions. Then A = (m — m^) s -\- bl. The elevation in metres or feet is then found by multiplying the tangent of this angle by the horizontal distance of the object, and correcting for the curvature of the earth and for refraction. The first of these ^corrections may be made with great precision by the formulas or table given in the Coast-Survey Report for 1871, pp. 160 and 169. The second correction is, however, veiy irregular, and may, therefore, generally be regarded as nearly propor- tional to the square of the distance. Since the correction for curvature is also nearly proportional to the square of the distance, we may write the elevation E =z D tang A -\- m D^, in which D is the horizontal distance, and m a quantity dependent on the condition of the air. If, therefore, the height of any distant object visible is 260 PROCEEDINGS OF THE AMERICAN ACADEMY known, it is better to defluce m from its observed altitude, and from this compute the other elevations. Were it not for the uncertain error of refraction, this instrument would give results of extreme precision. Thus an error of 6" in the altitude of a mountain one hundred kilo- metres distant would only correspond to a difference in height of about three metres. The uncertainty of refraction is much greater than this, and far exceeds the instrumental errors, except in a small telescope. Since, however, this cause of error is present when the theodolite is used, we see that altitudes can be obtained by this instrument with all the precision of the best theodolite ; in fact, with all the accuracy of which the method is capable. Apart from its lightness and cheajmess, it has this great advantage over a theodolite, — that, since the level is firmly attached to the telescope, there is little liability to error ; while, as the theodolite measures the angle between the telescope and the horizontal limb of the instrument, any injury is liable to throw it out of adjustment. With the instrument as described above, no angles could be measured greater than the diameter of the field of view. This difficulty may be remedied by attaching another level, slightly inclined to the first, so that the two fields of view corresponding to a horizontal position of the two levels shall be nearly tangent to each other. A third level serves still further to extend the ranore of the instrument. Thus, if the field of view is about 2°, angles between 1° and — 1° may be measured by the first level, between 1° and 3° with the second, and between — 1° and — S'* with the third. The instru- ment, in this form, may be called a micrometer-level. One of its greatest advantages is the rapidity with which elevations may be measured. There is no difficulty in measuring thirty or forty moun- tains in this way per hour, without the labor of ascending them ; while by the barometer it rarely happens that more than one can be measured in a day, and with the ordinary level the altitude of a high mountain would be the labor of days or weeks. The rapidity is also much greater than that of a theodolite ; since no accurate mount- ing is needed, and a micrometer-scale can be read at least as quickly as the telescope can be set, so that the entire time of reading the circle by the vernier is saved. One of the principal advantages of both the instruments here pro- posed is, that either may be made out of a telescope such as any explorer would be likely to carry. By simply adding a mirror in front, a photographed scale, and three levels, distances and elevations may be measured with all the accuracy ordinarily required. This method may be applied with especial advantage on a mountain-top ; OF ARTS AND SCIENCES. 261 since the elevations of all other mountains in sight, except those in the immediate vicinity, may be determined. The fact is worth noting, that, even if the error from refraction could be eliminated, the method of zenith-distances would not equal in accuracy that of ordinary levelling. For suppose that the sights are taken at distances c?, and that the probable error of each is e. If n sights are taken, or the distance travelled is nd, the probable error will be only e^n, since the positive and negative errors will probably in part neutralize. The error in the method of zenith-distances will, however, be proportional to the distance, or will be ne. Thus, if sights are taken every hundred metres with a probable error of 1 mm., the probable error of the level in ten kilometres will be 10 mms., since n = 100; while with zenith-distances the error would be 100 mms. Evidently, therefore, within reasonable limits, to attain the greatest accuracy with the level, the sights should be as short as possible, — a fact in accordance with general experience. Evidently the telescope of a theodolite may be converted into a micrometer level by inserting in its eye-piece a scale, and attaching three levels. Small vertical angles, which are those most used in surveying, can then be measured more accurately than by a vertical circle. In the same way, a similar attachment may be made to the telescope of a plane-table ; and the advantage is especially marked in this case, since an accurate mounting is not needed. A further appli- cation may then be made ; namely, to determine the distance when the height is known. Suppose that a distant pond is observed from the top of a hill. The telescope is directed to various portions of its shore, and the apparent depression observed. Since every portion must be at an equal distance below the observer, it is easily shown that the distance is always inversely proportional to the depression. Accordingly, if the direction of each part of the shore is marked on the plane-table sheet by a line, and a distance is laid off on this invei'sely as the observed depression, a map of the pond is quickly made. This may be reduced to its true scale if we know the position of any one point, or the height of the observer above the water. If the shore is abrupt or wooded, only the farther edge of the shore can be thus surveyed, or rather the portion where the actual shore-line is visible. Tliis method is in fact a form of stadia, in which the measuring-pole is replaced l)y the constant vertical distance between the eye and the plane of the water. The same method may be used for determining the form of an island, of a coast-line, or of a river winding through a nearly level meadow. The form of a pond or island may also be obtained in the same way 262 PROCEEDINGS OP THE AMERICAN ACADEMY from a drawing made by a camera obscura or camera lucida, or from a photograj^h ; and has the advantage that it begins to be accurate for depressions greater than 2^ or 3° just where they pass out of the ranore of the micrometer-level as described above. Valuable observations on the changes in the dip and in the refrac- tion might be made with a large telescope of this form. It is much to be desired that such observations might be conducted for a period of years from two such stations as Mount Washington and Portland. As the pressure, temperature, and moisture of these points is already determined by the Signal-Sei'vice Department, a small additional expense would furnish a valuable addition to our knowledge of the atmospheric refraction. OF ARTS AND SCIENCES. 263 XX. HEIGHT AND VELOCITY OF CLOUDS. By Professor E. C. Pickering. Presented, Jan. 11, 1876. The velocity of the wind at different altitudes is an important element in Meteorology, and the ordinaiy methods of measuring it are far from satisfactory. By the following method, it is believed that the velocity of the wind at considerable heights may be measured with an accuracy at least equal, and probably greater, than that of similar measurements near the surface of the earth. The apparatus consists simply of two similar camera obscuras formed of tripods covered with black cloth, and with cosmorama lenses above, which form an image of objects near the zenith on a sheet of paper placed beneath. A day is selected when cumuli clouds are crossing the sky, and the two cameras are placed at any convenient interval, as a hundred metres, in a direc- tion nearly perpendicular to the direction of the wind. An observer with a watch is stationed at each camera, and when a cloud enters the field a signal is given, and each draws a line tangent to the edge of the cloud and parallel to the direction of the wind every half minute. At the intermediate quarter minutes, other lines are drawn perpendicular to these, and also tangent to the cloud. The first series of lines will be nearly coincident, the second at intervals marking the cloud's motion. The zenith is now marked on each drawing by susi^ending a IDlumb-line from the centre of each lens, or in some other way, and a line drawn through it parallel to the direction of the cloud's motion. It will now be found that the distance of this line from those parallel to it and tangent to the cloud is different in the two sheets by an amount equal to the parallax of the cloud, or the angle between the two cameras as seen from the cloud. The height of the cloud may then be easily determined, if we know the focal distances of the lenses and the interval between the cameras, by the proportion : Difference of distances of the two lines : focal leneth of lenses = interval between the cameras : required height of cloud. To determine the accuracy of this method, suppose the interval between the cameras one hundx-ed 264 PROCEEDINGS OP THE AMERICAN ACADEMY metres, the focal lengths one metre, and the height of the cloud one kilometre ; then the difference between the distances of the two lines will be a decimetre. If this distance is measured with an error no greater than a millimetre, the height will be given within ten metres, or within one per cent. The velocity per minute is then readily deduced from the lines perpendicular to the direction of the wind, and the velocity of the latter may thus be determined within one or two jDer cent, a degree of accuracy at least equal to that of the best deter- minations of the velocity of the wind at the earth's surface and much greater than the degree of uniformity of any ordinary wind. Each cloud will furnish a measurement at a different height, and a compari- son with observations at the surface of the earth will readily give the relative velocities at these various altitudes. Various other apjilications of this principle will suggest themselves. For instance, if the paper is replaced by a sensitive photographic plate, and the cameras directed towards a distant tliunder cloud at night, an image of each flash may be taken. A great many flashes may be recorded on each plate, and the cori*es ponding images recog- nized by their forms. The distances and true dimensions may then be determined with considerable accuracy. If observations are made at the same time, of the interval between the flash and the thunder, the velocity of the sound may be measured, and it may be proved whether, as has been claimed, the velocity of such an intense sound is far greater than that of any ordinary noise. OF ARTS AND SCIENCES. 265 XXI. CONTRIBUTIONS FROM THE PHYSICAL LABORATORY OF THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY. VIII. — AN EXPERIMENTAL PROOF OF THE LAW OF INVERSE SQUARES FOR SOUND. By WiLxiAM W. Jacques. Presented, May 10, 1876. There is every dynamical reason for believing that the intensities of light, heat, and sound, diminish as the reciprocals of the squares of the distances from their origins. That this, is true of light and heat has been demonstrated experi- mentally. The case of sound, however, has only been jjut to the test in experiments so crude as not at all to warrant the assumjition of the law on experimental grounds. The following method (which was suggested by the reading of Pro- fessor Mayer's paper in the ''American Journal" for January, 1873) ranks in its degree of accuracy with those which have been applied to the verification of this law in the cases of light and heat. It depends, primarily, on the principle, that, when a particle of air is solicited by two equal and opposite forces, it will remain at rest. If two resonators, adjusted so as to resound with equal intensity, be placed equally distant from an organ-pipe, and connected by tubes with the two prongs of a fork-shaped tube in such a way that the sound-wave from one resonator shall arrive at the fork in opposite phase to that from the other, we shall have this condition ; and, if the stem of the fork be placed in the ear, no sound will be heard. If, in place of one of these resonators, we put two, each of the same inten- sity as the first, both connected with the same prong of the fork, we may, by moving them farther from the source of sound than was the single resonator, at the same time altering the length of the tubing so that the wave from the single one shall arrive at the fork in opposite phase to that from the pair, produce the same effect of complete inter- ference. If the law of inverse squares holds true, the distances of the single resonator from the source of sound should be to the cor- 26G PROCEEDINGS OP THE AMERICAN ACADEMY responding distance of the pair as 1 : \/2. If three resonators be opposed to one, the distances should be 1 : V 3 ; if four resonators, 1:V4 or 1:2, &c. It will be seen that the accuracy of the above method depends ujion the following conditions : — 1st, That the resultant wave from the combination of two resonators has twice the intensity of that coming from one. 2d, That the decrease in intensity of a sound, in passing through a tube, is inconsiderable.- 3d, That the intensity of resonance is proportional to the intensity of vibration at the mouth of the resonator. Let us first see the arrangement of the apparatus used, and then determine how nearly these three conditions are satisfied. As a source of sound, a Cg closed organ-pipe was used, blown by a stream of air from a large gas-holder having an arrangement for keep- ing the pressure constant. The pipe was mounted on a small standard, raised some four feet above the floor, so that the sound-waves pro- duced might have opportunity to diverge equally in all directions. At a measured distance from the embouchure of the pipe were jDlaced two resonators, each cylindrical in shape, and capped with a hemi- sphere at one end, through which ran a tube ^-in. in internal diameter, and at the other end with a flat plate, in which was a circular aper- ture of 1.5-inch diameter. The resonators were telescoped, so as to be readily adjusted for pitch and intensity. From the small tubes of the jiair of resonators pieces of rubber tubing led to the two prongs of a forked brass tube, in which the waves from the two resonators came together, and augmented each other. From the stem of the fork another tube led to one arm of the trombone interference apparatus of Herschel. The third resonator was placed at an appropriate distance from the embouchure of the pipe, and so arranged that it could be moved to or from the pipe, and, at the same time, one arm of the interference apparatus could be moved to compensate for the change in phase due to such motion. From the small opening of this resonator a rubljer tube extended to the other arm of the interference apparatus ; and in this tube was inserted a brass fork precisely like that used for the pair of resonators, excepting that one of its arms was st023ped, so that the conditions of reflection for this wave might be as similar as possible to those from the pair of resonators. If all these conditions of reflection be the same, it follows that two resonators give twice as great an intensity as one placed at the same distance from the source of sound. OF ARTS AND SCIENCES. 267 Tlie second condition, that the decrease in intensity in passing through a tube is inconsiderable, is abundantly proved by the experi- ments of Biot and Regnault in water-pijjes. The third condition, that the intensity of resonance varies directly with the intensity of vibration of the air just outside of the resonator, seems not to be sus- ceptible of experimental proof, excepting on the assumption of the law of inverse squares. There seems, however, to be no cause for a^y considerable varia- tion from this ratio : and if, upon trial, we find that die law does hold, it is reasonable for us to conclude that the variation of resonance is proportional to the intensity ; for it is extremely improbable that there would be two errors which would exactly counterbalance each other. The resonators having been adjusted so as to resound with equal intensity by comparing them two at a time on the interference appa- ratus, it was only necessary to connect three resonators as described above, so that the resultant wave should act on the air contained in the tube which enters the ear. Keeping now the pair of resonators in a constant position, and moving the single resonator and one arm of the interference apparatus until the resultant sound is at its minimum intensity, the relative distances should be V2: 1. Below are given several series of readings of the distance of the single resonator from the source of sound. The first three columns are the results of experiments made in front of the pipe, the pair of reso- natoi's being placed at a distance of 142 cms. from the embouchure. The resonators were lettered, for convenience, A, B, and C ; and the three series of readings are the results of opposing successively A to B and C, B to A and C, and C to A and B. In the last three columns are given the results of similar measurements behind the pipe, the embouchure being still taken as the source of sound, and the pair of resonators being distant 177.5 cms. At the bottom of the table the means are compared with the calcu- lated positions of the single resonator. The mean of the means of the first three columns is 100.3 cm; which differs from the theoretical by only 0.3 cm. The mean of the last three is 128.2, giving a difference from theory of 3.2 cm. An inspection of the following table shows us, that, assuming the embouchure of the pipe as the source of sound, in front of the pipe the law of inverse squares holds almost exactly true : behind the jjipe there is a slight difference. Theoretical considerations of the way in which the sound-waves are given off from a closed pipe would lead us to expect an error of this kind. The error due to the experiments 268 PROCEEDINGS OP THE AMERICAN ACADEMY being conducted in a hall was i^robably inconsiderable, as the hall was 92 feet long and 65 feet wide ; and, moreover, the windows were partially open. It should be remarked, that bringing the resonators too near the pipe introduced an error of a nature and magnitude which indicated that for a sound of considerable intensity the resonance was not proportional to the intensity of sound at the mouth of the resonator ; but this exception only serves to prove the rule for the case of moderate intensity. A opp. B opp. C opp. 1 A opp. B opp. C opp. to B & C. to A & C. to A & B. to B & C. to A & C. to A & B. cm. cm. cm. cm. cm. cm. 'jd 102 100 128 128 128 100 100 99 129 127 131 100 100 103 129 128 133 101 100 99 129 128 131 99 102 101 12.5 127 132 99 99 99 127 129 127 100 100 104 125 129 128 101 103 100 127 129 129 100 lO-l 100 126 129 126 98 103 100 129 128 126 101 100 101 128 129 127 99 100 100 128 127 127 99 101 100 128 129 128 100 101 99 128 128 129 98 100 101 128 126 124 100 102 100 132 124 129 Mean = Mean = Mean = Mean ^= Mean ^ Mean = 99.6 101.0 100.4 128.4 128.0 127.8 Theor. = Theor. = Theor. = Theor. = Theor. = Theor. = lOJ.O 100.0 100.0 125.0 125.0 125.0 It is true that these experiments do not furnish an exact proof of the law of inverse squares for sound ; but we have not an exact proof of the same law in the cases of light and heat. All that we can say of any of them, on experimental grounds, is, that they are very approximately true. The above experiments show that we may make this assertion for sound on as valid experimental grounds as for light or heat. OF ARTS AND SCIENCES. 269 IX. — DIFFRACTION OF SOUND. By William W. Jacques, Presented, May 10, 1876. The following experiments were made in order to test the possibility of applying to our atmosphere the principles of Fresnel and Huyghens, which, in their application to the ether, have been attended with such fruitful results. There seems to be no a priori reason why the particles of air, form- ing, as they do, a medium which, so far as the transmission of wave motion is concerned, is essentially similar to the ether, should not be so acted upon as to produce the interferences known in optical science as diffraction fringes. The following experiments bear upon this point. The apparatus was so arranged, in the first course of experiments, as to give the best conditions for the study of external fringes, or those produced outside of the geometric shadow of a sharp edge, on which sound waves, diverging from a centre, were allowed to fall. In the second course, similar waves were made to impinge upon an isolated naiTow obstacle, and so to give rise to a system of interior fringes. All other phenomena of diffraction may be classed as particular cases of one or the other of these two kinds. First series. A board one hundred and fifty centimetres wide was placed at right angles to, and in contact with, the side of the hall. One hundred and fifty centimetres from the edge, in a line at right angles to the plane of the board, was placed a B^ stopped lead organ pipe. On the other side of the board, a system of co-ordinates was established by means of light wooden rods, running parallel and perpendicular to the board ; these rods being divided into centimetres, it became very easy to locate the points of interference by referring them to these co-ordinates, and so to trace out the bands of interference. In order to distinguish these bands, I first tried applying my ear to diflPerent points along one of the rods ; but they were not sufficiently well marked to make them apparent to the unaided ear. I then arranged a resonator, of proper size to resound to the pipe, to slide along the rod ; connecting this, by a piece of firm rubber tubing, with the canal of my ear. The other ear I filled first with cotton, and then with putty ; so that it was entirely deaf to all sounds. I was thus en- 270 PROCEEDINGS OP THE AMERICAN ACADEMY abled to annul the effect of every sound but that which was re-enforced by the resonator. Moving now the resonator along the rod, I was able distinctly to mark points of maximum and of minimum intensity, which, in general, coincided with the positions which these bands should occupy as calculated by formula essentially similar to those applied in the diffraction of light. In the first experiments, a number of quite serious difficulties were encountered. Perhaps the most important was that due to the fatigue of the sense of hearing, in consequence of which a maximum was estimated before it actually occurred. By alternately opening and closing the mouth of the resonator with the finger many times in quick succession, however, and by taking a reading by first moving the resonator in one direction, and another by moving it in the other, it became possible to set it with considerable accuracy, the differences being, generally, only a few centimetres. Another difficulty was met with in the shape of a distinct band of interference, seeming to have no connection whatever with the other bands, and following quite a different law. Upon tracing it out, however, it was found to be due to an interference of the direct wave with the wav^e reflected from the gas- holder used to blow the pipe. Upon covering the holder with a cloth, this was very much dimiuished : and, upon removing the holder, the interference band disappeared altogether. There seemed to be slight evidences of nodes and loops formed in tlie hall, as in an organ pipe ; these, however, were very indistinct indeed, and were probably not a source of error. An attempt was made to use the manometric flame and revolving mirror to determine the points of most complete inter- ference, but the difference in effect upon the flame was so slight as to render this method entirely impracticable. In fact, the phenomena of diffraction can be studied only by the closest attention with the ear, and the ear is certainly far more delicate than any instrument of this kind that has ever been constructed. A very pure note, and one of constant intensity was necessary for the best results, and these were obtained by blowing the pi^je with a stream of air from a gas-holder, having an arrangement for keeping the pressure constant. Second series. The same board was set up near the middle of the hall. Two hundred centimetres from its middle point, on one side, was placed the pipe used in the pi'eceding experiments. On the other side was arranged a system of co-ordinates within the sound shadow. The method of determining the points of interference was the same as in the first series ; excepting that only the bands of minimum intensity OF ARTS AND SCIENCES. 271 were noted. The whole phenomenon was less distinctly marked than in the case of a single edge ; and the bands of maximum intensity- were not definitely recognizable. It was only with careful attention that even the bands of minimum intensity could be discovered. Below are given tables showing the observed and theoretical co- ordinates of the points of interference noted. Table I. is the case of diffraction from a single edge, and Table II. from a narrow obstacle. In Table I., the first column gives the distances from the edge of the board measured perpendicularly to its plane : the second and third columns give the observed and calculated abscissas corresponding to these ordinates, for the jjoints of maximum intensity noted ; and the fourth and fifth columns the corresponding values for the points of minimum intensity. In Table II., the first column gives the distances from the middle of the board ; the second and third, the observed and theoretical ordi- nates of the first curve of minimum intensity ; and the fourth and fifth columns, the ordinates of the second curve, — all to the right of the middle line ; the sixth, seventh, eighth, and ninth give corresponding values for the two curves to the left of the middle line. TABLE I. Distances. Curve of Max. Intens. Curve of Min. Intens. Obs. Tlieor. Obs. Tbeor. cm. 100 150 200 cm. 9i 120 142 cm. 88 115 144 cm. 129 196 235 cm. 148 200 250 TABLE II. Dis- tances. Obs. Theor. Obs. Theor. Obs. Theor. Obs. Theor. cm. cm. cm. cm. cm. cm. cm. cm. cm. 100 18 19 52 59 17 19 49 59 150 22 25 68 74 21 24 69 74 200 24 30 80 87 24 28 75 89 1 272 PROCEEDINGS OP THE AMERICAN ACADEMY The theoretical values in the above tables were obtained by a grajiliical solution, as the formulEe, after undergoing the changes necessarily made, because of the sound waves being of considerable magnitude, became quite cumbersome, and extreme accuracy was not required. The value of ). was carefully determined and properly corrected for temi^erature. It should be remarked that all of the above experiments were made in the large hall of the Institute, a room 92' by 65'. The phenomena of the diffraction of sound are not so distinctly marked as those of the diffraction of light. An examination of the tables, which are the results of a most careful series of observations, show that we are not warranted in accepting them as a basis for such excellent further work as has been done in the case of light. It is quite possible, of course, to calculate, from the positions of the fringes, the values of X and therefore of V ; to determine the temperature of the room in which the experiments are carried on ; or, given these quan- tities, to deduce the values of physical quantities which are intimately connected with the propagation of sound, and to determine acoustic quantities analogous to those similarly deduced in physical optics : but the method is difficult, uncertain, requires the use of a large hall, physical annoyance to the observer, and, above all, is not susceptible of the desired degree of accuracy. Tlieir chief value seems to lie in their reactive effect on physical optics. In acoustics we are sensible/ aware that we are dealing with waves propagated in an elastic medium. These waves may be felt and even seen.* Finding similar effects in optics to those here observed, we immediately refer these similar effects to similar causes, and so place our explanations of the diffraction of light and of the various cases of ethereal interference on a much firmer basis. The experiments show, too, that the principles of Fresnel and Huyghens, announced for the ether, are also applicable to our atmosphere. * Expts. of Topfer. Fogg. Ann. 1867. OF ARTS AND SCIENCES. 273 X. — COMPARISON OF PRISMATIC AND DIFFRACTION SPECTRA. By Professor E. C. Pickering. Presented, June 9, 1875. The object of the present communication is to afford a means of comparing the advantages of the two metliods commonly employed for producing spectra, by diffraction gratings and by prisms. Two ques- tions at once present themselves, the comparative length or dispersion, and the comparative brightness of the spectra. In adopting a standard of comjiarison, it is evidently necessary to select an absolute unit, which shall be wholly independent of the instrument employed, and defined entirely by the ordinary units of distance and direction. In comparing the two kinds of spectra, since an observing telescope and collimator are employed in both, it will be best first to compare the effect of the prisms and gratings alone, and then see how far both are affected by the telescopes. In the case of a diffraction grating, if i is the angle of incidence, r the angle of reflection, D the distance between the lines, ). the wave length, and n the order of the spectrum, these four quantities must be connected by the relation nX = D (sin i -\- sin r). The dispersion or angular deviation of two rays whose wave length differs by dl is found by differentiating r with regard to )., recollecting that ^ being constant, its differential equals zero. We thus obtain nd). = D cos rdr. or '- := — ^ If now the grating is dl D cos r 9 o placed at right angles to the observing telescope, as in.Meyerstein's spectrometer, the dispersion takes the very simple form ^, or is inde- pendent of the angle of incidence and of the wave length, and hence is uniform throughout, and is simply proportional to the order of the spectrum, and inversely as the distance between the lines. This position has the further advantage that it gives a minimum of disper- sion, and that consequently a slight error in setting is unimportant. If N is the number of lines per millimetre, or equals — , the dispersion assumes the still simpler form nN. This, then, forms the proper terra of comparison for diffraction gratings, or the length of any minute portion of the spectrum will be proportional to its order, and to the number of lines j^er millimetre. VOL. XI. (n. s. hi.) 18 274 PROCEEDINGS OF THE AMERICAN ACADEMY As an excample, the grating that Angstrom employed in most of his measurements contained about 133 lines to the millimetre; and, as he commonly observed the fifth or sixth spectrum, his dispersion equalled 665 or 798. The admirable gratings of J\Ir. Rutherford contain 6480, 8640, 12,960, and 17,280 lines to an inch, or 255, 340, 510, and 680 lines to a millimetre. Accordingly the fifth spectrum of the 8640 grating would have a dispersion of 1700. The case of refraction is a little more comjilex. As shown else- where (Proc. Am. Acad. vii. 478), when a beam of light, having an index of refraction «, passes through a prism having an angle a, we shall have the relation — ^ = — , in which r^ and i\ are the dn cos Tj cos j'j angles of refraction after passing the first and second surfaces. For the position of minimum of deviation, r^ ^ r.^=z \ a, and in this case — - = ^'" ^ " = - tang i. If, as is commonly the case, a = 60°, iln COS I n -r^= sec I. But this ffives -y-^ while we want ,^' which may be ob- an '^ dn a A •' tained by multiplying by -^. The latter may be deduced from Cau- " dA, chy's formula, n = A -\- ^^ -\- -. Differentiating this equation, ~= — U ~ -W'^^^ multiplymgby -^, gives — =— tang ^ yB-{- ^j, 9 / 2C\ or for a 60° prism — Jl / i? -|- ^i \ The substances most commonly used for spectroscope prisms are flint glass and bisulphide of carbon. The indices of refraction of the first of these varies very greatly with the composition, and that of the second with the temperature. The lines B, JE, and G are selected as showing the effects of the ends and central portion of the spectrum. The indices for flint glass are those given by Fraunhofer for the specimen No. 23, and equal 1.62775, 1.64202, and 1.66028. For the bisulphide of carbon the temperature of ll°o C. is employed, and the indices 1.6207, 1.6465, and 1.6886. These values give for the flint glass, B= .00789 and C= .000307. The corresponding values for the bisulphide are, B= .00614 and C= .001972, the wave lengths being expressed in thousandths of a millimetre. From these we may compute the three values of — for flint glass to be .0568, .1381, and aA .2804; and for bisulphide of carbon, .0818, .2293, and .6073. And finally multijilying these values by 1000 to change the unit from thou- 2C\ sec ^. OF ARTS AND SCIENCES. 275 sandths of a millimetre to millimetres, and by — , gives the following values for the dispersion of a 60° flint glass prism. For B, 98 ; for E, 242 ; and for G, 503. The corresponding values for a 60° prism filled with bisulphide of carbon are : for 5, 140 ; for E, 404 ; and for G, 1133. Comparing these numbers with those given above for diffraction gratings, we see the superiority of the latter as regards dispersion, especially at the red end of the spectrum. - These advantages are, however, in a measure counterbalanced by the greater loss of light. It is shown elsewhere (Am. Jour. Sci. xlv.) that in a spectroscope containing ten 60° prisms the loss of light by reflection would equal 50.9 per cent; so that the transmitted ray would have an intensity of 49.1, the incident ray being taken as 100. This would be further reduced by the loss from absorption, but the amount would vary with the material, the wave length, and the length of path, or size of prisms. Estimating this loss as one half, still leaves the intensity of the whole of the spectrum as 25 per cent of the original beam passing through the slit. In a diffraction spectrum the light is much less ; allowing one half for the light lost in the central white image, evidently if we have five spectra on each side, the average amount of light in each cannot exceed five per cent. And even this must be diminished by the loss due to reflection and absorption in the case of glass gratings, and to imperfect reflection in the case of speculum metal or silvered glass. The discussion of the effect of the collimator and observing telescope on the dispersion involves another consideration; namely, the size of the image of the slit. To render this clearer, suppose we are observing the sodium spectrum, when a small amount of the metal is present.* We shall then obtain two sharply defined images of the slit separated by an interval dei^endent on the dispersion. These images may overlap, and will vary in width as the slit is open or shut, but their distances apart will not alter. Call w the true width of the slit, W that of its image as seen through the telescope, and referred to the distance of distinct * If much sodium is present, the lines widen and become hazy, and with a large dispersion both appear again double, owing to the absorption of the outer layer of sodium vapor. This effect is readily obtained by putting a lump of borax in the flame, when at first it gives a bright blaze and shows the four lines ; presently, however, tlie light becomes feeble, and tlie usual double line is alone seen. If now an image of the flame is projected on the slit, the spec- trum of any part of it may be studied, and it will then be found that the central portion only gives the four lines, the edges giving the usual double line. 276 PROCEEDINGS OF THE AMERICAN ACADEMY vision, 250 mms., or ten inches. Also call c the focal length of the collimator, o that of the observing telescope, and e that of a lens equivalent to the eye-piece. Then Tr= - — ^^. Again, the dispersion ec or interval between the two images will equal that of the prism or grating, multiplied by the magnifying power of the observing tele- scope, or -, and will be quite independent of the collimator. e As in the microscope and telescope the highest powers are by no means those which give the best results, so in the spectroscope the best effects are not always obtained with tlie greatest dispersion. In- creased angular dispersion is readily obtained by using a high power with the observing telescope, but the limit is soon readied, since the apparent width of the slit, and the various distortions, are increased in the same ratio. Moreover, with a very great dispersion the light is so far enfeebled that the spectrum becomes faint and the slit must be opened wider. Tlie most satisfactory test of the efficiency of a spectroscope, as of other optical instruments, is to examine some delicate object and com- pare the appearance with that obtained with other similar instruments. Formerly the D line was used for this purpose, which with any but the smallest instruments is seen to be double. In the solar spectrum it was soon found that there was a third line between these, and afterwards several other lines were noticed. The observations of Professor Cooke (Proc. Am. Acad. viii. 57), however, showed that most of these lines were due to the aqueous vapor in the earth's atmosphere, and that their visibility therefore de[)ended very largely on the condition of the air. The E line is free from this objection ; and, as it contains many more components, it furnishes a much more complete test. The following table gives the appearance of the E line as seen with various instruments. A dash denotes that the line opposite which it is drawn was visible. When a double line is seen as single, one of its components only is marked. Tlie lines given in the map of Kirchhoff are shown in the column headed Kir. Those given by Angstrom are, in like manner, marked Aug. To obtain the lines seen with various instruments of the largest size, I asked several friends to draw all the lines they could see with their spectroscopes ; and I take this occasion to express my thanks to them for the results. The column headed Sh. gives the results obtained by Mr. .Sharpies, with a large spectroscope belonging to Dr. Gibbs, having six 60° prisms, filled with chemically pure bisulphide of carbon. OF ARTS AND SCIENCES. 277 The dispersion, therefore, as shown above, would be about 2400. Cohima Am. gives the lines seen by Dr. Amory, with a diiFractioa ffratiiis: of Mr. Rutherford's, having 510 lines to a millimetre. As he employed the sixth spectrum, the dispersion was 30 GO. For the most recent and complete measurement I am indebted to Professor Young, who has measured the E line with a very perft^ct grating by IVIr. Ruth- erford, having 340 lines to the millimetre ruled on silvered glass. As he used the eighth spectrum, the dispersion was 2720. These results have been taken as a basis, and the resultant wave lengths are given in the second column. My own observations are given in the column marked P., and were made in 18G9 and 1870, with a spectroscope in which the light traversed each prism twice, giving a dispersion equivalent to 7, 9, or 11 flint glass prisms. This would correspond to dispersions of 1700, 2200, and 2640; but the best results were obtained with the two lower powers. All the observers used telescopes about a foot and a half in length. We have thus four entirely independent maps, as neither observer had at the time a copy of the work of any of the others. The simi- larity of the results, with instruments differing so greatly in form and power, seems to show that we have nearly reached the limit beyond which an increase of dispersion is unadvisable ; and as if with our largest instrument nearly all the lines really present in the spectrum were visible. It is much to be desired, however, that these lines may be compared with any other insti-umcnts of greater power, if such are ever constructed. It is only essential that the measurements should be made before comparison with the above results, since with the lines, as with fiiiut stars, it is much easier to detect them when we know exactly where to look. Various tests may be selected from these lines for an insti'ument of any power. Tims to double the E hues, or to show 24 and 26 as two lines, is a good test for a one prism spectroscope of large size. The five pairs, (27, 28), (29, 30), (31, 32), (35, 36), and (37, 38), also form an excellent test for any but a very large instru- ment. The great number of double lines in this group, and more particularly in the B line, and in the electric spectrum of sodium, seems to prove most conclusively, as in the case of double stars, some real relation between the two components. The last two columns give the relative intensity and width of the lines as estimated by Professor Young. Nos. 2, 16, and 27 are hazy, and No. 35 is a mere shade. The numbers under the observers' names give the approximate dispersion employed by each. 278 PROCEEDINGS OP THE AMERICAN ACADEMY No. Wave Kir. Ang. Sh. Am. P. Y. In- Width. length. 1400 800 2400 3060 2000 2720 tensity. 1 5260.9 3 2 2 1.3 — — — — 6 3 3 1.8 1 — — 1 1 4 21 — 3 1.5 6 2.4 — — — — 5 2.5 6 2.8 — — 1 2 5 7 3.2 — 2.5 1.5 8 3.4 — — — — — 6 2 9 4.0 — — — 2 2 10 4.4 — — — — 1.5 1 11 4.8 — — — 2 1.5 12 50 — — — — — 2 1.5 13 5.1 — — — 2 1.5 U 5.3 — — I 15 5.6 — — 16 5.8 — — — 7 85 17 6.3 — 1 1 18 6.5 — — 1 1 19 6.6 .5 1 20 7.0 — — — 1.5 1 21 7.5 — — — — — 2 1.5 22 7.7 — — — 1.5 1 23 8.3 — .5 1 24 8.7 — — — — 10 8.5 25 9.0 2 — ( .5 2 26 9.5 — — — 8 2 27 69.9 7 .7 28 70.3 .7 1 2y 0.5 1.5 1 80 0.7 1 1 31 12 — — 2 1.5 82 1.6 — 2 1.5 33 2.8 6 2 34 2.5 — 5 1.5 35 3.1 1 3 36 3.9 .7 1 37 4.2 1.5 1 88 4.4 2 1.5 39 5.0 2.5 1 40 5.3 ~~~ ~"" — ~ "-— 4 2 OF AETS A3s"D SCIENCES. 279 XXII. ON PHOTOGRAPHS OF THE SOLAR SPECTRUM. Br Robert Amokt, M.D. Read, May 10, 1876. In continuation of the experiments first presented to the Academy a year ago concerning the photography of absorption bands fi'om liglit transmitted through colored solutions, I take pleasure in announcing, that owing in great part to the assiduous application of my assistant, Mr. J. H. Hubbard, the lines between F and D of the solar spectrum have been distinctly impressed upon a sensitized collodion plate. The plate I now present to the Academy shows these lines unmistakably, the double line of D being perfectly visible. The image is impressed upon that kind of collodion which is coated upon what are known as the " Stuart -Wortley Plates." I believe this is the first time that a sharp photographic image of the D line has ever been exhibited ; though 1 am well aware that others have reported that they have been able to obtain photographic effects from the yellow and red rays of the spectrum. You are probably aware that these are dried plates ; and in addi- tion to the advantage of using a dry plate, in which the decomposi- tion may be su^jposed to continue more favorably than on a wet plate, which is constantly drying up when exposed, mention may be made of the probable ingredients used in the dry process. These consist of bromide of silver, salicine, and uranium, among others ; and it was evi- dent to us, from certain of our preliminary experiments, that the glucosides, added to collodion, increased the sensitiveness of the plates exposed to the green rays. Hence we were induced to use these in preference to the ordinary dry tannin plates. An exposure of thirty to forty-five minutes is required in order to obtain a distinct image of the solar lines in that portion of the spectrum which I have here pre- sented. You will observe that the image is brought to a principal focus in the vicinity of E and b lines ; in fact, that eight of the group of E lines are 280 PROCEEDINGS OF THE AMERICAN ACADEMY quite easily made out, especially if viewed through a magnifying lens of low power. It may also be noticed that the two lines of D are quite sharp, and distinctly visible : jiossibly the positive impression taken from the same negative, which is here exhibited, may make these lines more visible in the dazzling gaslight of this room. I also present negatives and their positives of the absorjition bands of a solution of uranium acetate, of uranium chloride, and also of a solution of chloro- phyll, the latter of two kinds, one of which is obtauied from grass, and the other from green tops of the asparagus-plant. In conclusion, I will state that we have used the most simple appara- tus that could be devised, so that we may only lose a small portion of light, and not complicate the results by too many reflections of the image submitted to the photographic action. This apparatus consists, 1 st, of the heliostat ; 2d, a mirror arranged in the central axis of the heliostat to intercept and reflect the beam into a dark room ; 3d, a slit (width about one-hundredth of an inch) .in the shutter of the dark room ; 4th, a collimating lens at its exact focal distance from the slit ; 5th, a dense glass prism arranged at the minimum angle of deviation for the especial line whose image we wish to photograph ; 6th, a com- mon spectacle lens of forty-two-inches focus ; 7th, the sensitized plate. Between the prism and the sensitized plate, a square, dark box of large capacity excludes all other light than that we wish to use. On the following page will be seen heliotj'pe prints of these bands, though it should be borne in mind that it is almost impossible to ob- tain an exact reproduction of details in a positive on paper, unless the negative be retouched, which for obvious reasons cannot be allowed. Mr. E. Edwards very obligingly has devoted much pains to the repro- duction of these jiriuts by the heliotype process. OF ARTS AND SCIENCES. 281 XXIII. A NEW FORM OF INDUCTIVE APPARATUS. By Henry P. Bowditch. Presented, Oct. 12, 1875. The inductive apparatus commonly used in physiological laboratories is the so-called " Sledge Apparatus " of Du-Bois Reymond. In this instrument, the intensity of the induced current is regulated by varying the distance between the two coils, their axes being always kept in the same straight line. By this method, very feeble currents can only be obtained by separating the coils to a considerable distance, and an in- strument made to permit this seimration has often an inconvenient length. In the instrument here presented, and which is figured in the accompanying wood cut, this difficulty is obviated by allowing the secondary coil, as soon as it has been withdrawn enough to be fairly free of the primary coil, to rotate round a vertical axis. In this way, the intensity of the induced current may be reduced to any desired degree, zero being obtained when the coils are at right angles to each other. The effect of simple rotation of the secondary coil, regarded by itself, would doubtless be to ciiuse the intensity of the induced current from that coil to vary in the same proportion with the cosine 282 PROCEEDINGS OF THE AMERICAN ACADEMY of the angle of rotation. This effect is, however, complicated by the A'ariation in the distance of the different pai-ts of the two coils from each other which attends this rotation. It is accordingly found that the curve which represents the actual variations in intensity (obtained, according to Fis^k's method, by measuring with the galvanometer the intensity of single induction shocks at eveiy ten degrees of revolution of the secondary coil *) differs from the curve of cosines in being slightly convex towards the abscissa just before it reaches that line. The scale with which the instrument is provided indicates the in- tensity of the induced current at different positions of the secondary coil, expressed in terms of an arbitrary unit employed in the gradua- tion of a large " sledge apparatus," in use at the physiological labora- tory, and similar to the unit adopted in German laboratories for the graduation of similar instruments. * See Cyon's Methodik der physiologischen Experimente, p. 379. OF AETS AND SCIENCES. 283 XXIV. HYDROGRAPHIC SKETCH OF LAKE TITICACA. By Alexander Agassiz. Presented, March 8, 1876. From the position of Lake Titicaca, its exploration promised to give interesting results in Natural History, judging at least from the materials collected in lakes situated at great heights. It was there- fore with considerable disappointment that my companion and myself after a protracted examination of this great sheet of water examined our plunder. We had come prepared with all the necessary apparatus for dredging, for taking observations of temperature and making soundings ; and, with the facilities placed at my command by the Peruvian government, we hoped to gather a rich harvest. Mr. Gar- man spent nearly six weeks in skirting the shores of the lake, stop- ping at all convenient places for making collections of the Fauna of the lake and of its shores, and for exploring the ancient remains found on the islands in the lake and at several points in the vicinity of the shore line. While Mr. Garman was sailing on the lake in a small iron sloop, the only sailing vessel on the lake, if we except an old flat bot- tom ferry plying across the Straits of Tiquina, I made two expedi- tions in the steamers " Yavari " and " Yapura " placed at my disposal by the Peruvian government, landing at all the noted points where interesting Inca ruins existed : the islands in the lower lake, the islands of Coati and of Titicaca, Copacabana, and Tiaguanaco. During these two expeditions, I crossed the lake longitudinally twice, and ran sev- eral lines of soundings from shore to shoi'e. The ca[)tains of the government steamers, Capt. F. Guerrero especially, taking the great- est interest ia my proceedings and assisting me in all possible ways, sparing neither time nor pains to secure proper observations. The first mate of the " Yavari " was fortunately assisted by a number of English sailors, who were devoted in haulina" the soundino; Hues at all times of the day and during all kinds of weather. The sketch map accompany- ing this notice is compiled from the map of Thompson aud of Pentland, with such corrections of the shore line as we could make from per- 284 PROCEEDINGS OF THE AMERICAN ACADEMY sonal examination. Tlie latitude as given by Pentland, 16° S. for the northern extremity of the Island of Titicaca, is very nearly cor- rect, Capt. Guerrero and myself having taken several sextant observa- tions off the northwest point of the island, which agreed quite closely with Pentland's positions. Tlie longitude of Puno, however, as given by Pentland, 70° W., is probably not c^uite correct, and too far to the eastward. The distance of Puno from the harbor of Molleudo beintr only seven minutes in time, as ascertained by telegraph between the two points, of course this is approximate ; while taking the longitudes as given on the English admiralty map 73° 39' for Molleudo, as given by Fitzroy, and 70* for Puno, by Pentland, the difference of longi- tude is somewhat greater, more than 3°. Mr. Garman and myself took more than sixty-five soundings, from which a number were selected to represent the surface of the bottom. The whole bottom of the lake in its deepest parts, and frequently quite close to the shore, up to the jJoint at which the myriophyllum and the totora grow so plentifully in certain localities, is covered by a thick bed of mud, the finest possible greenish black silt. This bed of mud must have been several feet in thickness, to judge from the ease with which the heavy sounding leads disappeared in it. It contained but few fragments of shells, being almost always made up of pure fine mud. It was only in a small number of localities near the shore, and away from the mouth of any rivers, that occasional patches of sand and of shelly or rocky bottom were found. In the lower lake, however, the bottom was generally sandy, the water having deposited the bulk of the matter held in suspense before reaching the Straits of Tiquina. At the time of our visit to the lake, although during the last part of the rainy season, when all the rivers pouring into the lake were very high and turbid with the mud and materials they brought down from the mountains, yet, a short distance from the shore, the surface water was remarkably pure and clear. According to an analysis made by Professor Raimondi of Lima, there is but a mere trace of saline sub- stances, and not sufficiently large to affect the potability of the water. Having an outlet to Lake Aullagas through the Desaguadero, there is no chance for an accumulation of saline matter, while Lake Aullagas is already, as I am told, somewhat saline, and the sink into which that pours is quite saline. The unpleasant taste of the lake water near the shore is due to the immense amount of decayed vegetable matter abounding in the extensive fields of mj'riophyllum and of totora, which line the shores for miles, and which exten I to a depth of from six to seven fathoms. The totora fields are most extensive in Puno OF ARTS AND SCIENCES. 285 Bay and the southern shores of the lower lake. The myriophyllum grows very luxuriantly, and forms an important article of food for the cattle of the lake shore. It is not an uncommon sight to see the cows of Puno wading up to their middle in the water, and diving boldly in search of their food which they cannot find on the shore. This habit has as yet produced no apparent effect on these amphibious cows, although carried on for a good many generations. The fields of Totora are also the feeding places of the myriads of aquatic birds which abound along the lake shore, and which are the most charac- teristic feature of the Fauna of the lake. The fishes and reptiles are not numerous,* and our collections of the former showed a poverty in species which is most remarkable, and this is also accompanied by a comparative poverty in the number of specimens, except in certain localities. The scarcity of fishes can, however, be readily explained when we examine the physical condition of the water, which is cer- tainly not well adapted to them. In the first place, the whole bottom of the lake, as I have mentioned before, is covered with silt, thus ren- dering unfit a large part of the area of the lake for the fishes and rep- tiles, leaving only the shallower bays, a more or less wide belt along the shore according to the nature of the adjoining country, and the lower lake, which appears to be the favorite fishing post of the Indians. This, however, may be due to the greater energy of the Bolivian In- dians, who are a finer set of men, more willing to work, and in every way superior to the lazy natives found near Puno and the northern end of the lake. In the second place, the temperature of the water of the lake is so high that none of the fishes which abound in the lakes of our temperate zone are to be found. There are in all only six species of fishes, Cyprinoids and Siluroids, — a remarkably small number for a slieet of water as large as Lake Erie. They were all known before. In the way of reptiles, the most interesting species was a huge frog, which remained often for hours perfectly quiet on the bottom, sus- pended on fronds of myriophyllum, apparently too lazy to come up to the surface to breathe. The effect of the vertical sun upon the temperature of the water is ver}^ marked, extending to its deepest point, and heating the whole body of water to such an extent that the greatest difference we ob- served was in one case, it is true, as high as Q^ degrees at a depth of 103 fathoms; but the usual difference between the surface and * See Bull M. C. L. Vol. III. No. 11. 286 PROCEEDINGS OF THE AMERICAN ACADEMY the bottom, even at the greatest depth (154 fathoms), was not more than from 3 to 4 degrees. The lowest temperature of the bottom was only 51°, the general temperature varying from 54 to 55°; while the surface temperature ranged from 53 to 59°, the greater part of the time 56 to 57° Fahr. We used the ordinary deep-sea thermometer of Miller Casella, kindly loaned to me by Cajitain Patterson of the United-States Coast Survey. As is well known, deep-sea observations show that the effect of the sun does not extend in the ocean much beyond 50 fathoms ; but, in a closed basin like this, at so great an altitude, the eifect of the direct rays of the sun jiassing through so little atmosphere is very great. It must be remembered, that, even in the winter months of that re- gion (the dry season), the sun never goes farther north than 52°, and that only for a short time ; and that, in the summer months (the rainy season), it is nearly' vertical the greater part of the time. The water, of course, retains its heat readily, and, even in summer, is but little cooler than the surrounding air, which becomes very rapidly chilled by the least cloud interpos;ing between it and the sun. It is a very com- mon thing for the thermometer to rise or fall eight or nine degrees in as many minutes from the eifect of the sudden appearance or disap- pearance of the sun. Ice is said to form only in small quantities along the shores or shallow places : this is easily imagined when we take into account the immense body of water which must be cooled, 120 miles long by 30 wide, and an average depth of about 100 fath- oms ; the surface of the lake, even in winter, receiving a large amount of heat by absor]3tion, although the air itself is uncomfortably cold. "We lind here, as is the case in many other sheets of water com- paratively isolated, but few species, and these peculiar to the lake. We find at this great elevation a condition of things reminding us of the marine life of arctic regions, — a great abundance of specimens, with a comparatively small number of species ; the shoals of Orestias and Siluroids, which are seen in certain localities, agree with the ac- counts we have of the swarms of fishes and other animals haunting the arctic realms. Still there are peculiar physical conditions of the bot- tom of the lake, the immense deposits of mud formed by the settling of tlie silt brought down annuall}'^ by the mountain-streams, the great elevation of the lake, the high temj^erature of the water ; all of which causes should tend to specialize to a remarkable degree the genera found to thrive in such a condition of things. We find, how- ever, no such specialization brought about among the fishes : on the contrary, their isolation, even while living under such peculiar physical OF ARTS AND SCIENCES. 28T conditions, appears to have deprived some of them, at any rate, of any capacity for development in the direction of their congeners. The genus Orestias is closely allied to Fundulus, one of the most widely distributed of fresh-water genera. The species of the genus Orestias resemble in a remarkable degree the young of some species of Fundulus, and might be considered, without exaggeration, its em- bryonic type, at a time when the young Fundulus is remarkable for its large head, prominent opercula, its large scales resembling plates along the anterior part of the back and sides. The other genera of fish found in the lakes are eminently fresh-water, having a great geographical distribution. The great number of water-birds recalls to us vividly also the more northern marshy regions, where thousands of ducks and water-hens abound. The mollusca are all species of eminently fresh-water genera, showing nothing very special. The Crustacea, on the other hand, belong mainly to the Orchestiada?, forms which thus far have not been found in fresh water at all : their near- est allies are nearly all marine (see Bull M. C. L., vol. iii. No. 16). Although we have from the researches of several geologists, but of Darwin mainly, a pretty good general idea of the immense extent of territory which has been subject to a greater or less elevation along the whole west coast of South America, from the south coast of Ecua- dor to the eastern coast of Patagonia, this elevation appears to have culminated in Central Peru. Yet there has been nothing shown which woTiId lead us to assume such an immense elevation of the land as 1 2,000 feet. It is very true that Darwin showed the most positive proof of elevation to a height of about 600 feet ; while terraces, shingle-beaches, and other more or less distinct traces of the former level of the sea, he traced to a height of from 1,300-1,500 feet. I have been able to follow up these traces of elevation somewhat higher, having found at Tilibiche, at a height of 2,900 feet above the level of the sea, corals of genera closely allied to those now found living in the West Indies (see Bull M. C. L., vol. iii. No. 13). These corals were attached to rocks, in crevasses formed between them, much as we would find them attached at the present day in the cracks of rocks. This being near the northern extremity of the nitrate-fields of Peru, throws considerable light on the probability of these deposits having been of marine origin. In fact, the geography of the whole of the Wf St coast of the Andes to the north of Chili seems to point to a former condition of thinofs such as we now find on the west coast of Chili. The plains to the southward of Santiago, bounded by the coast range to the westward, and the Andes to the east, gradually pass to 288 PROCEEDINGS OF THE AMERICAN ACADEMY the condition of the coast now prevailing at Conception Bay, and south of it, — the coast range forming the archipelago, the Andes forming the coast range, and the plains of the more northern regions becoming changed to bays ; the immense basins succeeding each other towards the north which form the so-called Desert of Atacama, the nitrate-beds, the llanos of the coast, the pampas of Peru, through which the rivers flowing to the west have cut deep valleys with more or less marked terraces, showing the different periods of ascent in the elevation of the continent. These plains are everywhere found, either between a coast range and the base of the eastern talus of the Andes, or ex- tending from the summit of the shore terrace, if we may so call it, generally at a height of from 1,200 or 3,000 feet, sloj^ing to the second terrace, with its base at an averasfe height of from 6,000— 7,000 feet, and then followed by a second and third more or less indistinct terrace until we reach the main elevated plateau or basin which lies between the eastern and western slope of the Andes. All these basins show more or less distinctly the trace of their former marine origin ; so that, if we are to judge from the presence of strictly marine forms, the successive terraces developed on a magnificent scale on the west coast of the Andes, with the interlying basins, we have a fair presumption that the elevation of the Andes to their present height has taken place at a comparatively recent date, and during their upheaval the present nitrate district and saline deposits were left as large lagoons during a considerable period, to judge from the great thickness of the deposits found within their basins, all denoting the presence of a comparatively quiet inland sea. Lake Titicaca itself must have, within a comparatively very recent geological period, formed quite an inland sea. The terraces of its former shores are everywhere most distinctly to be traced, showing that its water-level must have had an elevation of 300 or -iOO feet at least higher than its present level. Tliis alone would send its shores far to the north in the direction of Pucara, forming a narrow arm reaching up to S. Rosa. Lake Arapa is probably only an outlier of the ancient lake, as well as several of the small lakes, now at a considerable distance from the west shore. The immense plain of Cabanillas, extending north beyond Lampa to Juliaca, only 100 or 120 feet above the lake at its highest point, was one sheet of water. The terraces of the former shores are still very distinctly seen. The eastern shores did not probably differ greatly from the present out- line, though the peninsula of Achacache was probably an island. The Bay of Puno must have been connected with the plains of Llave, OF ARTS AND SCIENCES. 289 and those back of Juli ; while from the lower lake, back of Aygache, the lake formed huge inlets or deep bays, now represented only by the nearly dry river-beds flowing into the lake at Aygache, Gorilla, and Guajui. The sluggish Desaguadero must have been a strait of considerable width, with large islands ; and this long lake, connecting Lake Titicaca with Lake Aullagas, must have equalled in extent the upper lake ; the upper lake, at that time, extending across the Isth- mus of Yunguyu, leaving the Peninsula of Copacabana as a large island, connected with the lower lake by a broad pass between the hills to the west of Copacabana, and those to the west of Yunguyu. The plains, now laid bare at the northern and western shores of Lake Titicaca, give us an excellent idea the appearance the whole basin of the lake would present if entireh'^ dry. The number of lakes and basins, great and small, which formerly covered the elevated plateau of the Andes, must have been very great ; but we now fiiid only here and there a small sheet of water. The former lakes are only rejiresented by the more or less extensive pampas, forming basins at great altitudes, showing plainly that the whole of this district is re- ceiving a much smaller waterfall than in former times, but probably not within historic times, if we take into consideration the position of some of the most ancient ruins of Bolivia (at Tiahuanaco), which are only about 75 feet above the present level of the lake. These ancient basins are thickly covered by huge bunches of rank grass, from which the llamas, alpacas, and vicunas obtain their only suste- nance at the immense heights where they seem best to prosjier. It would be an interesting inquiry to ascertain the causes of the differ- ence in the habitat between the other species of camels and the llamas, which do not thrive near the sea-coast. In the lower lake, which is shallow, the temperature of the surface and that of the bottom varied extremely. From the number of obser- vations taken, I can only state that it is very local, depending upon the prevailing wind and the condition of the sky. The following soundings, taken from those of the upper lake, show the great uniformity of the temperature of the surface and bottom: — VOL. XI. (N. S. III.) 19 290 PROCEEDINGS OF THE AMERICAN ACADEMY Deptli. Fath. Surface. Bottom. Air. Time. 0 55° F. 55° F. 7.40 A.M. 8 55 53 56° 10.15 A.M. 28 58 53 12.30 A.M. 18 59 54.5 55 4.30 P.M. 12 65 54.9 42 7.10 A.M. 24 56.5 56 53 9 A.M. 33 54.7 54.5 47 12.20 A.M., cloudy. 30 57.5 56.2 58.5 4 P.M., clear. 43 56.7 55 58 10.20 a.m. 47 55.9 54.9 67 11.05 P.M., sun very bright. 66 56.1 54.3 55 11.10 P.M., suiniy. 74 57 54.5 60 2.25 P.M., sunny. 82 55.5 51 8 a.m. 85 56 54 43 6 a.m., rainy. 90 56 54 55 1 P.M. 100 55.3 54.3 44 7.10 A.M., raining hard. 103 56 51.5 6.15 P.M. 111 57.5 54.9 63 12.20 P.M., clear. 106 57 54.5 112 54.9 54.5 44 7.10 P.M., raining hard. 113 57.5 55 61 10 A.M., clear. 114 55 116 . 55 54.6 45 11.14 A.M., raining hard. 124 56.3 56 60 1.09 P.M., sunny. 125 55 54.9 45 8.05 P.M., sunny. 130 56 55 9.10 P.M. 136 57 54 55 10.30 A.M. 132 53 52 149 55.3 54.5 47 11.40 A.M., cloudy. 150 55 54.5 48 10.25 A.M., cloudy. 151 55.4 55 49 12.25 P.M. 154 54 52 8.45 A.M. The elevation of the lake above the Pacific has been taken from the surveys of the railroad engineers, obtained while laying the line from Arequipa to Puno. Professor James Orton inclines to the opinion that the whole basin of Lake Titicaca, with the high plateau to the westward, is gradually sinking, because the successive observations made from early times give a gradually diminishing height. Thus far, the few measurements taken can hardly be more than a chance coincidence, when we remember the uncertainty and great divergence attending all measurements of heights taken to within a comiiaratively very recent period. Tlie experience of the topographers of the late geological surveys in the Rocky jNIountains has been very similar ; and yet we are hardly prepared for such a sweeping generalization as the sinking of the greater part of the Rocky Mountains from much OF ARTS AND SCIENCES. 291 more abundant data than those accessible from Lake Titicaca and its vicinity. Along the eastern coast of Lake Titicaca, the mountains forming its former shores nowhere rise to any considerable height. The greatest elevations are found along the general line forming the western edge of the high plateau, to the south of which the lake is situated, from the Nevados of Tacorara to those east of Moquega, the Pichupichu, Chachani, Coropuno. A lower nearly parallel range extends about half-way between the line of the former and the axis of Lake Titi- caca. This range, however, does not rise to more than 16,000 or 17,000 feet, and, sweeping to the northward at a distance of about one hundred miles to the north-east of the lake, forms the water-shed between the rivers leading to the headwaters of the Amazonas and those flowing into Lake Titicaca, the eastern sides of this great basin being formed by the northern extension of the huge range which culminates near the south-eastern shores of Lake Titicaca in the snowy giants of Guaina Potosi, Mamiui, and Mampu. The range runs nearly north- ward from the head of the Bay of Achacache, forming the southern boundary of Caravaya on the north, and uniting with the northern water-shed of the great Titicaca basin. This eastern range of snowy mountains retreats from the shore of the lake about as far as the western intermediate range, and forms at the same time the line between the waters flowing to the Pacific and those belongingf to the basin of the lake* The hills of the peninsula of Cojjacabana do not rise more than 800 to 1,000 feet above the level of the lake ; and, to the south of the lake, low ridges form the dividing-lines of the tor- rents flowing from the heights between La Paz and Corocoro into the lower lake. The view from the crest of one of these ridges im- mediately to the eastward of Tiahuanaco is truly magnificent ; and the panorama of snowy heights rising from 8,000 to 10,000 feet above the level of the lake is one of the most beautiful stretches of mountain- scenery it has been my fortune to see. Rising as these mountains do behind the islands of the lower lake as a foreground, with the low hills beyond Iluarina on the opposite shore of the lake at the base of the snow-line coming down to within a couple of thousand feet of the shore, we have within a radius of thirty-five miles no less than six or seven peaks varying from 20,000 to 22,000 feet above the level of the sea. Looking over the peninsula of Copacabana extends the upper lake, with its sacred islands hardly visible on the horizon ; while to the westward extend, as far as the eye can reach, the huge fiat- topped hills, the dividing-ridges between the torrents fiowing into the lake, 292 PROCEEDINGS OF THE AMERICAN ACADEMY which comprise the immense elevated plateau reaching a height of some 16,000 feet above the level of the sea, with an endless number of somewhat higher peaks rising slightly above this general elevation ; while to the westward of Tiahuanaco the sharply-cut outline of the mountain-chain which forms the dividing-boundaiy between Bolivia and Peru shuts out the view in that direction. But while the outline of many of these chains is most graceful, and the grandeur of the Nevada de Sorata is not to be forgotten, the barrenness and utter desolation of the whole scene dej^rives it of much of its beauty. There is absolutely nothing green to rest the eye ; the whole country is dry, arid, stony ; here and there a patch of rank grass, \ipon which the vicufias manage to eke out their existence ; an occasional shrub, with a stem as large as one's little finger, only left because it has thus far escaped the eye of the Indian gathering the few shrubs remaining as the only firewood, which, with characteristic imprudence, he does not cut down to give it a chance to grow again, but pulls up roots and all, to get as much fuel for the present needs as possible. The accompanying map illustrates the general hydrography of the basin of Lake Titicaca. Of arts and sciences. 293 XXV. ' CONTRIBUTIONS FROM THE PHYSICAL LABORATORY OF HARVARD COLLEGE. No. X. — DISTRIBUTION OF MAGNETISM ON ARMATURES. By Harold Whiting. Presented, May 10, 1876. The subject of the distribution of magnetism on armatures has not yet been carefully investigated ; although the change of form of the curve due to the addition of an armature has been roughly determined. It ap23ears, that, when an armature is added to one end of a magnet, some of the magnetism spreads over the nearest part of the armature. To prove this, and at the same time to get a general idea of the best way to investigate the subject further, I performed the following pre- liminary experiment. My apparatus consisted of a steel rod. half a metre long and about a quarter of an inch in diameter, and an iron rod of the same dimensions ; also a small wooden bobbin wound with about a hundred and fifty coils of fine insulated wire, and having a hole in its axis just large enough to allow it to slide freely over the rods. A paper scale, graduated into centimetres and millimetres, was attached to each rod. The two ends of the coil of wire were connected with a very delicate galvanometer. The steel rod was magnetized. The coil was now slipped in different parts of the rod, over a dis- tance of two centimetres each time, and the deflections were noted. This deflection was made the ordinate of a curve, and the abscissa was taken equal to the distance of the centre of the coils at the central point of their motion. Table I. gives the figures, which are, of course, only relative. The distances are given in centimetres. 294 PROCEEDINGS OF THE AMERICAN ACADEMY TABLE I. SIMPLE MAGNET. PRELIMINARY EXPERIMENT. Distances (Cm.). Deflections. Distances (Cm). Deflections. 0.5 + 9.6 29.5 — 0.6 2.5 7.8 31.5 1.4 4.5 6.2 37.5 2.45 6.5 5. 40.5 4.2 8.5 4.1 1 42.5 4.9 10.5 8.7 1 44,5 6.7 12.5 3.0 4(j.5 8.6 15.5 2.0 48.5 9.0 19.5 1.1 49.5 10.0 23.5 0.35 1. 25.5 0.23 27.5 0. 1 "Wlien the armature was added, the distribution on the magnet was as in Table II. a. Here, too, the numbers represent only relative values. Table W.h gives, in the first column, the distances ; in the second, the permanent magnetism of the armature (nearly constant after once touching the magnet) ; in the third column, its magnetism when the magnet was attached ; in the fourth, the difference of the second and third ; in the fifth, the value corrected as afterward to be explained. TABLE II. MAGNET AND ARMATURE. PRELIMINARY EXPERIMENT. a. The Magnet. Distance. Deflections. Distance. Deflections. Distance. Deflections. 0.5 +9.1 19.5 +1.25 34.5 —1.4 2.5 8.3 22.5 0.6 36.5 2.0 4.5 6.5 245 0.4 38.5 2.9 65 5.3 26.5 0.2 40.5 3.2 8.5 4.4 27.5 0. 42.5 4. 10.5 3.7 28.5 —0.2 44 5 4.5 12.5 2.9 30.5 0.5 46.5 5. 15.5 2.1 32.5 1.0 48.5 5.7 OF ARTS AND SCIENCES. 295 b. The Armature, Distances from juncture. Deflection due to i)ermanent magnetism. Deflection when bar was added. Difference of last two columns. Corrected val- ues for i V We should expect B^ to have been .137. The wire broke under the weight of 16,3 lbs. The weights I used were in lbs., not grammes. But we have not considered the whole length in considerina the change in length ; but we have considered the whole length in consider- ing the change in resistance. If we afld the same constant to / and I^, say a, and /^ is greater than /, then plainly li' - d + «)■-■ But more than a mavhave been added to I,. Then, too, if the whole lenjjth had been under the stretchinn; process, J^^ might have been greater than it was observed to be. So that the difference of .003 olims might have been made up, had the whole length been under the stretching process. In this experiment I measured the final diameter of the wire with the dividing engine, and found that it varied perceptibly in different parts ; in one part the mean reading being .593 millimetres, and in another part .50 millimetres. From the deduction given above, it can be seen that we need only consider the lengths and the squares of the lengths. In the following experiments I did not consider the change in diameters. Experiment 2.' — In this experiment I used thin iron wire. 4, 6, 8, and 10 lbs. produced no change in the resistance of the wire, though the length increased slightly. Original resistance was 1.0536 ohms. At first, R was only 1.0584. 10 mm. i? = 1.068 ohms. 15 „ R = 1.0704 „ 20 „ 7^ = 1.1256 „ 25 „ 7? =1.1304 „ 28 „ i? = 1.1404 „ 30 „ i? = 1.1472 „ I did not ob.serve the changes in length carefully. At tliis time, 2 lbs. was the smallest M'eight I had. On applying fourteen pounds, the wire stretched some ; but, when I allowed tiie whole force to come on, the wire snapped near a place where it was wound. I applied the weight again, and the wire snapped near the middle. VOL. XI. (N. S. III.) 20 306 PROCEEDINGS OP THE AMERICAN ACADEMY Length of wire before applying 14 lbs 1.033 metres. Original length 1.58 „ li 2.496 R 1.053(3 7^ = 27(3137" — -^'^^ Ri — ri472 — -'^^^ R P . Here — < ,— ; and it would .seem that finally iron has been made Ri 'i' a poorer conductor by stretching. As to the intermediate states of the wire, nothing can be inferred. Later I performed another experiment with better results. It was with the same kind of wire. It would seem to show that the conductivity of iron is improved by stretching. I will call it Experiment 2a. — These are the results : — / p R 1.696 2.876 1.104 1.716 2.944 1.1064 1.736 3.014 1.1448 1.766 3.119 1.178 TT, .922 R ^^1 .937 R r- P R 2.1786 .3816 2.25 .3816 2.452 .3912 2.484 .4032 "We should expect H^ to have been 1.197. Experiment 3. — In this experiment I u.sed thin copper wire ;|:^ millimetre in diameter. 2 lbs. produced no change in the resistance, though the length increased 2 centimetres. These are the results : — / 1.476 1.5 1.566 1.576 It broke under weight 4.3 lbs., and I did not get the final results. /2 R -p, = .936 -jT- = .946 '\~ ■'h ^ ''' . Here - > - It seeni.s that the conductivity of the wire is improved. I used the same kind of wire in another experiment, which I will call Experiment 3a. — The wire stretched in all 31 centimetres, and broke under the full force of 4.3 lbs. The .3 lbs. is the weight of the ii'on ring. OF ARTS AND SCIENCES. 307 R .4776 .5040 .5280 .5520 .5592 .6216 Ro .624 .6264 R /2 See the curve representing the resistance in this experiment. There is a great and rapid change in the resistance when the wire has been stretched 20 centimetres. I _ L81_ _ ^ R _4776 /o- 2.055 ~ ■'^^■^ Ro — 6'2r6 ''^^^ R P Here at this point 75- < y-o J^n 'o / P 1.81 3.276 1.905 3.629 1.945 3.783 1.965 3.822 1.985 3.94 = 2.055 lo' 4.223 2.09 4.368 2.12 4.474 72 - -729 R R, .76 o Experiment 4. — In this experiment I used thicker copper wire, with the follovvino;' results : — I 1.70 1.72 1.75 1.757 1.825 1.85 1.875 289 3.5i5 P R 2.89 .0636 2.958 .0636 3.07 .0648 3.086 .0648 3.327 .0684 3.43 .0768 3.515 .078 R 636 A'l 78 .828 R r- R,> V .822 I tried the same kind of wire again. It stretched considerably before there was any change in the resistance. The origuial length was l.fio metres. The final length was 1.82 metres. 23 lbs. broke the wire before I had time to observe the resistance ; but, before Mp|)]ying the last pound, the resistance was .076 ohms. The original re.sistance was .072. P 2.622 R R P l{^ 3.312 .792 iii .947 17 ^ pi Experiment 4b was with the same kind of wire, with these re- sults : — 308 PROCEEDINGS OF THE AMERICAN ACADEMY I 1.595 P 2.544 R .0648 1.635 .0648 1.665 .0648 1.715 .0648 1.765 3.116 .0648 1.855 3.44 .0820 1.945 8.783 .090 2. 4. .1008 Z2 jj .636 R ^1 .0.642 R n R, > V 2G lbs. broke the wire. In all these experiments, it is easy to see that the change iu resist- ance at first is not at all proportional to the increase iu length. At the close of some of the experiments, the resistance is almost as much as it ought to be ; and perhaps, if there were no error in observation or calculation, the resistance at the breaking-point would be as much as the law would make it. Experiment 5. — This experiment was made with copper wire not so thick as that used in the previous experiment. I measured the total length, and the changes in length ; so that, although not the whole length is under the stretching process, the resistances given correspond more exactly to the lengths given. 1.71 2.924 R .109 1.725 2.965 .1092 1.755 3.08 .1104 1.815 3.294 .1128 1.84 3.385 .1128 1.875 3.516 .114 1.9 3.61 .114 1.91 3.648 .114 1.95 3.8 .1356 1.99 3.98 .138 Z2 R — .791 R R /2 1 'i 1 6 lbs. broke the wire. I performed a second experiment with the same kind of wire, and with essentially the same results. Experiment 6. — I next took German-silver wire. The curve of observations here will be found to almost coincide with the straight line representing the law. This experiment is quite curious when con- trasted with the others. OF ARTS AND SCIENCES. 309 I P R 1.58 2.34 4.33 1.535 2.356 4.34 1.545 2.387 4.40 1.57 2.465 4.577 1.595 2.544 4.728 1.615 2.608 4.824 1.64 2.69 4.987 1.665 2.772 6.112 1.69 2.856 6.22 1.735 3.01 6.609 12 .777 R .77 Experiment 6a. — German-silver wire again. Original total length 1.70 metres. Length to be stretched 160 ,, Original total resistance 4.848 Resistance of connecting wires 036 Resistance of 1.70 metres 4.812 Subtract ^(L. of this 283 Resistance of 1.60 metres 4.529 I 1.60 r- 2.56 R 4.529 1.61 2.592 4.541 1.64 2.689 4.733 1.67 2.789 4.9226 1.70 2.89 6.1386 1.77 3.133 6.5226 1.815 8.294 6.813 1.85 3.42 6.0506 1.885 2.591 6.2858 1.99 3.96 6.9626 p- .646 R .650 R P R, > V By examining the curve, it will be seen that it very nearly follows the law, and that the conductivity of the metal is but little altered. Experiment 7. — This experiment was made with copper wire No. 18. Original total length 1.62 metres. Length to be stretched 1.67 „ 310 PROCEEDINGS OP THE AMERICAN ACADEMY Ohm. Original resistance with connecting wires 3000 Eesistance of connecting wires 036 Eesistance of total length 264 Eesistance of length not stretched 008 Original resistance of length to be stretched . . . .256 / /2 72 1.57 2.465 .256 1.58 .256 1.595 .256 1.6 2.56 .256 1.615 2.608 .2608 1.64 2.69 .2728 1.66 2.7556 .2776 1.69 2.856 .2776 1.725 2.9756 .2992 1.76 8.0976 .3016 P 2465 ^ R 256 R P ij ~ 3097 ~ •''^^ T^~ m6~ -^^^ ^ -^ "^ H^ should have been .322 if the conductivity of the metal had not been altered. Experiment 8. — Copper wire No. 22. Original total length 1.57 metres. Length to be stretched 1.53 „ Resistance with connecting wires 3048 Eesistance of connecting wires 036 Eesistance of total length 2688 Eesistance of length not stretched 0068 Eesistance of wire to be stretched 2620 1.53 2.341 .262 1.55 2. — .262 1.59 .262 1.62 2.624 .262 1.655 2.739 .3004 1.68 2.822 .3124 P R R P __ = .g29 - = .841 ^^ > J,, The wire broke under weight of 5.2 lbs. Ji, should have been .3161 if there was no chanse. J. O Experiment 8a. — With copper wire of same size. OF ARTS AND SCIENCES. 311 Original length 1.56 metres. Length to be stretclietl 1.52 ,, Resistance of whole length 2G76 „ Resistance of length not stretched 0068 „ Resistance of wire to be stretched 2608 „ / r- R 1.52 2.3104 .2608 1.54 2.3716 .2608 1.56 2.'434 .2620 1.58 2.496 .2620 1.6 2.56 .2836 1.63 2.65 .2956 1.655 2.706 .298 1.67 2.789 .310 1.69 2.856 .316 1.705 2.907 .3256 l^ R ^-^=.794 -=.8 Wire broke under 5.2 lbs. Experiment 9. — Cojiper wire, the Jinest yet. Original total length 1.56 Length to be stretched 1.52 Original total resistance 780 Resistance of connecting wires, &c 055 / P R 1.52 2.3104 .725 1.585 .725 1.55 2.4025 .725 1.565 -2.444 .7298 1.59 2.528 .7538 1.61 2.592 .7766 1.64 2.6896 .8018 1.67 2.789 .8318 1.70 2.89 .8618 1.73 2.993 .8918 1.77 3.133 .9314 1.81 3.276 .971 1.855 3.441 1.006 /- R 77= .671 7T-= .7206 h Ri If there were no change, B^ should have been 1.08 ohms. The wire broke under pressure of 2.G lbs. From the foregoing experiments, I conclude that the conductivity of German-silver wire remains unaltered by stretching ; that the con- 312 PROCEEDINGS OF THE AMERICAN ACADEMY. rliictivity of iron wire is perhaps improved, and that the conductivity of copper wiie is improved, that up to a certain point the wire can be stretclied witliout increasing the resistance, or only increasing the re- sistance very little; that beyond that point the resistance increases very rapidly for a while, and then increases less rapidly. In most cases, after the wire has been stretched to the point where the resistance ceases to increase rapidly, the resistance appears to increase in such a Way, that the ratio ^ remains almost constant. It appears, then, that copper wire can be stretched to some advantage ; that, if it is stretched too much, some of tlie advantage gained is lost again. Experiments 3a and 8a are the only instances where the co[)per wire appears to have lost at any time the full amount of the advantage gained by stretching; but, even in these instances, the wire seems to gain advantage in regard to its conductivity as the stretching goes on. Thin copper wire being in the process of manufacture, stretched to a great extent, the advantage gained by further stretching is less marked than with thicker wire. It is noteworthy that the wire becomes very brittle before it breaks, and assumes a definite structure like steel wire. PEOCEEDINGS. Six hundred and eighty-first Meeting. May 25, 1875. — Annual Meeting. The President in the chair. The Corresponding Secretary read a letter from Mr. R. C. Winthrop, accepting his appointment as a delegate to the International Congress of Geographical Sciences ; and, at his suggestion, Mr. J. I. Bowditch was appointed a second delegate to this Congress. The Treasurer presented his report, which was accepted, and on his motion it was Voted, To appropriate for the general expenses of the Academy, during the coming year, twenty-one hundred dol- lars (-$2100). The Chairman of the Rumford Committee ijresented his report, which was accepted ; and, in accordance with its sug- gestion, it was Voted, That an appropriation of fifteen hundred dollars (11500) be made from the income of the Rumford Fund for the coming year, to finish the publication of Count Rumford's works. Voted, That the Librarian and Treasurer of the Academy be authorized to sell to each Resident Fellow one, and one only, complete set of Rumford's Works, including the Life, for five dollars, and to settle on this basis the account 314 PROCEEDINGS OP THE AMERICAN ACADEMY of those Fellows who have already purchased the earlier volumes. Voted, That ten complete sets of Rumford's Works, includ- ing the Life, be presented to Professor W. R. Nichols, as an acknowledgment of his services to the Academy. Voted, That the sum of two hundred and ninety-one dol- lars (^291) be appiopriated from the income of the Rumford Fund to cover the cost of publishing the papers on Light and Heat in Volume X. of the Academy's Proceedings. Voted, That the sum of five hundred dollars ('$500) be appropriated from the income of the Rumford Fund, as the said income will permit, to aid Professor John Trowbridge, of Cambridge, in continuing his researches on the improve- ment of the Magneto-electric Machine and Induction Coil. Voted, That the Rumford Medal, for the present year, be awarded to Dr. John William Draper, of New York, for his Researches on Radiant Energy. On the motion of the Corresj)onding Secretary, it was Voted, That an appropriation of fifteen hundred dollars (•$1500) from the general fund be made to defray the ex- penses of publication during the year. Voted, To appoint a committee of five to revise the Statutes of the Academy. The President appointed Messrs. Cooke, Thomas, Washburn, Deane, and Norton, members of this committee. Voted, To adjourn this meeting to the second Tuesday in June. The annual election resulted in the choice of the following officers : — Charles Francis Adams, President. Joseph Lovering, Vice-President. JosiAH P. Cooke, Jr., Corresjyonding Secretary. Edward C. Pickering, Recording Secretary. Edmund Quincy, Treasurer and Librarian. OP ARTS AND SCIENCES. 315 Council. John B. Henck, ^ Wo.LCOTT GiBBS, > of Class I. Charles W. Eliot, ) Alexander Agassiz, \ John A. Lowell, ( of Class II. Benj. E. Cotting, ) George E. Ellis, \ Andrew P. Peabody, > of Class III. Francis Parkman, ) Rumford Committee. Morrill Wyman. James B. Francis. WOLCOTT GiBBS. JOHN M. OrDWAY. JosiAH p. Cooke, Jr. Stephen P. Ruggles. Edward C. Pickering. Committee on Finance. Charles Francis Adams, ) ^ . ^ ^ \ ex officio. Edmund Quincy, ) Thomas T. Bouve. The following Committees were appointed on the nomina- tion of the President : — Committee on Publication. Alexander Agassiz. W. W. Goodwin. John Trowbridge. Committee on Library/. Charles Deane, Henry P. Bowditch. William R. Nichols. Auditing Committee. Henry G. Denny. Robert W. Hooper. 316 PEOCEEDINGS OF THE AMERICAN ACADEMY Six hundred and eiglity-second Meeting. June 8, 1875. — Adjourned Annual Meeting. The President in the chair. The President announced the death of M. Charles de Rerausat, Foreign Honorary Member. The Corresponding Secretary read a letter from M. Bar- rande, acknowledging his election into the Academy. Voted, To adjonrn the meeting in August to the second Tuesday in October. The following papers were presented : — " On tlie Hexatomic Compounds of Cobalt." By Dr. Wolcctt Gibbs. " On the Supposed Perchloride of Manganese." By Pro- fessor J. P. Cooke, Jr. " On the Use of Field Instruments in Astronomy." By Professor T. H. Safford. " On Photographing Spectrum Lines." By Dr. Robert Amory. " On a Comparison of Prismatic and Diffraction Spectra." By Professor E. C. Pickering. " On a New Method of Calibration." By Professor E. C. Pickering. " On a New Instrument for Projecting Lissajou's Curves." By Professor E. C. Pickering. On the " Theory of Discount in the Game of Billiards." By Professor Benjamin Peirce. Professor WiUiam Watson presented a set of models illus- trating his " Descriptive Geometry." Six hundred and eighty-third Meeting. October 12, 1875. — Adjourned Stated Meeting. The Vice-President in the chair. The Vice-President announced the death of Professor Joseph Winlock, and Mr. Chauncey Wright. OF ARTS AND SCIENCES. 317 The following papers were presented : — " On a New Property of Conic Sections." By Professor Benjamin Peirce. " On the Method of Least Squares." By Professor T. H. Safford. Mr. W. A. Rogers described some further investigations he had made on the lines of Noljert, and presented a paper by M. Trouvelot, " On Veiled Sun-Spots." The following papers were j)resented by title : — " On the Flora of Guadalupe Island." By Sereno Watson. " Remarks on Magnetic Distribution." By Professor H. A. Rowland. Six hundred and eighty-fourth Meeting. November 10, 1875. — Stated Meeting. The President in the chair. Mr. W. A. Rogers was appointed Secretary j?ro tempore. Upon the recommendation of the Council, the following gentlemen were elected members of the Academy : — Andrew Crombie Ramsay, of London, to be a Foreign Honorary Member in Class IL, Section 1, in place of the late Sir Charles Lyell. Alfred !M. Mayer, of Hoboken, to be an Associate Fellow in Class I., Section 3. Frederick A. Genth, of Philadelphia, to be an Associate Fellow in Class XL, Section 1. Joseph LeConte, of San Francisco, to be an Associate Fel- low in Class IL, Section 1. Othniel Charles Marsh, of New Haven, to be an Associate Fellow in Class IL, Section 2. Daniel C. Gilman, of Baltimore, to be an Associate Fellow in Class III., Section 2. William Sellers, of Philadelphia, to be an Associate Fellow in Class I., Section 4. Albert Nicholas Arnold, of Hamilton, N. Y., to be an Asso- ciate Fellow in Class III., Section 2. 318 PROCEEDINGS OF THE AMERICAN ACADEMY Ira Renisen, of Williamstown, to be a Resident Fellow in Class L, Section 3. Hiram F. Mills, of Lawrence, to be a Resident Fellow in Class I., Section 4. Robert Thaxter Edes, of Boston, to be a Resident Fellow in Class II., Section 4. Henry Adams, of Boston, to be a Resident Fellow in Class in.. Section 3. Professor Cooke announced that the fourth and last vol- ume of Count Rumford's Works had been issued from the l^ress. Mr. R. C. Winthrop made the following Report : — It has seemed to me proper, Mr. President, that I should make some brief report of what I did, and of what I left undone, under the commission with which the Academy honored me, some months ago, to represent them at the International Congress of Geography in Paris. Agreeably to a suggestion which I ventured to make to the Secre- tary, on receiving my own appointment, Mr. Ingersoll Bowditch, then abroad, was afterwards associated with me in the delegation. But I am sorry to say that neitlier of us found it practicable to be in Paris during the week in which the sessions were held. For myself, I reached there only on the evening of the day on which they were formally closed. It was an occasion of public ceremonial, which I was sincerely sorry to have missed. I regretted much less that I was unable to attend the opening ceremonies, as they took place on Sunday ; and, though I do not care to associate myself with too sancti- monious a Sabbatarianism, I have always been offended, when abroad, by the habitual selection of Sunday, jiarticularly in Paris, for spec- tacles and shows of all sorts. Such a course seems almost like an insult to Protestantism, and might well be the subject of remonstrance where the occasion is not of a local character. I had reported myself, as a delegate from the Academy, previously to my arrival, and my name had been duly entered on the roll of the Congress. Nothing remained, however, for the members to do, except to make a visit to the Sewers of Paris, — a geographical exploration from which 1 was willing to excuse myself during the heats of August, — and to pay their respects to the Prcfet of the Seine, at a formal reception arranged for that purpose. OF ARTS AND SCIENCES. 319 This latter service I performed, and found a large and brilliant assembly at the palace of the Luxembourg, quite in Imperial style^ notwithstanding the Rej^ublican element which has recently entered into the institutions of France. The staircase was lined with gens d' amies in uniform, a mounted police guarded the gateways, and one of the regimental bauds 23layed national airs within tiie palace. Noth- ing could have been more cordial and gracious than the welcome given me as a representative of the Anlerican Academy by the Prefet, M. Ferdinand Duval ; and I had an opportunity of meeting not a few of the literary and scientific celebrities of France, as well as the dele- gates from other countries. The next day I proceeded, with my card of membership, and under the escort of my accomplished friend. Colonel Perraud, to visit the Exposition Geographiqiie^ which had been arranged in those parts of the palace of the Tuileries which had escaped the torches of the Com- mune. A marvellous and most multitudinous exposition it was, and one which reflected the highest credit on the Geographical Society of France, under whose ausjiices it was prepared. I could not have believed it possible that any thing so dry, and so little aesthetic, as geography, could furnish the materials for so really interesting and brilliant a show. It was, indeed, an exhibition of many other things l)esides such as might be supposed to belong to geography proper. Geology, archjEology, ethnology, antiquities of every sort, historic and pre-historic, were gathered there, side by side with maps and memorials of the most recent researches of modern travellers and geographers. My eye lighted, for instance, on a photographic facsimile of the " Mappamondo di Fra Mauro " of 1459, and on copies or originals of not a few other maps, on which there was no America. It was a relief to turn from these and see, as I did, the beautiful chart, pub- lished by our Coast Survey, of Boston Harbor, hanging at the very entrance of the little American department. I remember seeing, too, the War Map used by the heroic Charles XII. of Sweden, and not far off the manuscript notes and maps of the not less heroic Livingston and Speke and other recent explorers of Africa. A cast of the wonderful Meteorite of Greenland, weighing (the original) twenty thousand kilos, if I remember right, occupied a whole corner of one apartment. Facsimiles of Domesday Book and of the black-letter Prayer Book of 1G3G attracted my eye in the English division. 320 PROCEEDINGS OF THE AMERICAN ACADEMY This will uive a sufficient indication of the somewhat heterojjeneous things which were gathered together from all quarters under the banners of geography, recalling that comprehensive, all-embracing description of Cicero: " Omnes etenim artes qute ad huinanitatem pertinent, habent quoddam commune vinculum, et quasi cognatione qua-dam inter se continentur." The archives of all countries, and the museums of all learned societies, had indeed been made tributary, without reserve, to this exposition ; and things old and new had been brought forth from pri- vate cabinets and public collections to enrich and adorn it. But I must not leave the impression that Geography proper, so to speak, was without its full representation. Such an array of globes and maps and photographic illustrations of earth and sea and sky could never have been congregated anywhere before. The Russian department was exceedingly rich, and surpassed all others in the number and perfection of the geographical works with which it was crowded. The Prussian or German department was hardly less striking; while the Austrian, Spanish, Portuguese, Italian, Danish, Norwegian, Dutch, Belgian, and Swiss departments contained many most interesting and valuable contributions. England was hardly there in full force, and the American department was small and poorly supplied. When I alluded to this, however, as I did with regret, the Prefet of the Seine, with true French politeness, replied, " Yes, but we know you are titly and fully engrossed with your grand Centennial Exposi- tion at Philadelptiia next year, which is well worthy of all your atten- tion ; and we shall all be interested in its success." I lay upon the table a printed Catalogue of this remarkable Exhi- bition, with a few other pamphlets relating to it, which may give the Academy a better idea of its character than I have been able to convey in these cursory remarks. Before resuming my seat, however, I may be pardoned for alluding to the monument of Count Rumford, which I visited in company with the American Minister, Mr. Washburne. It received some not very considerable damage from a shell which struck it, or exploded near it, during the siege of Paris. It was understood, before I left Paris, that this Academy had passed a resolution for its repair, and such a meas- ure would be a graceful act to be performed by this or some other American instrumentality. Our Minister was anxious to superintend such a repair, if authority should be given him to do so ; and I prom- OF ARTS AND SCIENCES. 321 ised to bring the subject to the renewed consideration of the friends and guardians of Count Rumford's memory. Professor Cooke presented the report of the committee appointed to revise the Statutes of the Academy, and it was Voted, To lay this report on the table, and make it the special subject of an adjourned meeting ; it was also Voted, That the Correspondhig Secretary be requested to print the report, and distribute it among the Resident Fel- lows. Voted, To adjourn this meeting, at its close, to the second Tuesday in December. The following papers were presented : — " On the Flora of Guadalupe Island." By Sereno Wat- son. " On the Proper Motion of t] Draconis." By W. A. Rogers. Six hundred and eighty-fifth Meeting. December 14, 1875. — Adjourned Stated Meeting. The President in tlie chair. The Corresponding Secretary read letters from Messrs. Arnold, Genth, Mayer, and Mills, accepting their elec- tion as Fellows of the Academy ; also, a letter from Mr. Parkman, declining his election as a member of the Council. Mr. R. C. Winthrop was elected a member of the Council in place of Mr. Parkman. The Corresponding Secretary read a petition from the Trustees of the Boston Public Libiary to the General Gov- ernment, asking aid toward the publication of a Topical Index of the United States Documents ; and it was Voted, To authorize the President to sign this document in behalf of the Academy. Dr. Gibbs presented a memorial petitioning Congress to remove the duty on foreign scientific books not in English, Latin, or Greek ; and it was Voted, to authorize the President to sign this memorial. VOL. XI. (n.S. III.) 21 822 PROCEEDINGS OF THE AMERICAN ACADEMY The report of the committee on the Revision of the Statutes was taken from the table, and its recommendations discussed. But, in accordance with the provisions of the statutes, action was deferred until the next stated meeting. The following papers were then presented : — " On the Periodic Changes in Right Ascension." By Mr. W. A. Rogers. " On the Tempel Nebula in the Pleiades." By Mr. Trouvelot. " On the Planet Saturn." By Mr. Trouvelot. " On a New Form of Bunsen Battery." B}^ Dr. Wolcott Gibbs. " On the Milk Supply of Boston." By Mr. S. P. Sharpies. " On a New Genus of Harpagonella." By Dr. Asa Gray. Six hundred and eighty-sixtli Meeting:. January 11, 1876. — Monthly Meeting. The Peesident in the chair. The following papers were presented : — " Improvements in Inland Navigation Resulting from the Introduction of a New System of Movable Dams." By Pro- fessor "William Watson. " DescrijDtion of an Ajiparatus to Measure Directly the Strain to which the Different Bars of an Iron Lattice Girder are exposed." By Professor William Watson. " On the so-called Etheric Current." B}^ Professor John Trowbridge. " On some New Methods of Topographical Surveying." By Professor E. C. Pickering. Six hundred and eighty-seventh Meeting, January 26, 1876. — Stated Meeting. The President in the chair. The Corresponding Secretary read letters from Messrs. OF ARTS AND SCIENCES. 323 LeConte, Remsen, Ecles, and Gilmaii, accepting their elec- tion as Fellows of the Academ3\ On the motion of Professor Washburn, it was Voted^ To discharge the committee on Expert Evidence. The following gentlemen were elected members of the Academy : — Charles Edward Hamlin, of Cambridge, to be a Resident Fellow in Class II., Section 3. Edwin Lawrence Godkin, of Cambridge, to be a Resident Fellow in Class III., Section 3. Thomas Dwight, Jr., of Boston, to be a Resident Fellow in Class II., Section 3. Conte Federigo Sclopis di Salerano, of Turin, to be a For- eign Honorary Member in Class III., Section 1, in place of the late Charles de Remusat. The proposed amendments to the Statutes and Standing Votes of the Academy, by rule laid over from the last stated meeting, were acted on seriatim. With some amendments they were all adopted, and are incorporated in the new draft of the Statutes and Standing Votes printed at the end of this volume in connection with the Report of the Council. Professor Watson presented the following papers : — " A Description of the New Machinery and Processes em- ployed to Obtain a Supply of Water for the Inland Naviga- tion of the Champagne District of France." " Improvements in the Construction of River Locks, and the Saving made in the Prism of Lift by the Use of Oscil- lating Liquid Columns." The following papers were presented by title : — "• On the Effect of Thin Plates of Iron as Armatures to Induction Coils." By Professor John Trowbridge. " On the Action of Methyl Iodide on Plumbic Urate." By Professor H. B. Hill. A communication from the Boston Societ}' of Civil Engi- neers on the introduction of the metric system of Aveights and measures, was referred to a committee consisting of Messrs. Pickering and Watson. 824 PROCEEDINGS OF THE AMERICAN ACADEMY Six hundred and eighty-eighth Meeting. February 9, 1876. — Monthly Meeting. Professor Peirce in the chair. The Corresponding Secretary announced that the Rumford IMedal would be ready for presentation to Dr. Draper at the next meeting. He also called attention to the Statutes as revised, copies of which he presented in print. The following papers were presented : — " On the Effect of Thin Plates of Iron as Armatures to Induction Coils." By Professor John Trowbridge. " On a New Form of Mirror Galvanometer." By B. O. Peirce. " On the Solar Motion and Stellar Distances." By Pro- fessor T. H. Safford. " On some New Forms of Iron Viaducts." By Professor William Watson. " On two New Machines used in the Construction of Tidal, Coast, and Harbor Works." By Professor Watson. " On the Occurrence of Odoriferous Glands in the Walk- ing-stick." By Professor S. H. Scudder. " On the Equal Roots of the Principal Equations of the Circular Perturbations of the Planets as not affecting the Sta- bility of the System." By Professor Benjamin Peirce. Six hundred and eighty-ninth Meeting. March 8, 1876. — Stated Meeting. The Academy met at the house of Mr. John A. Lowell. The President in the chair. The Corresponding Secretary read letters from Messrs. Ramsay, Sclopis, Godkin, and Adams, accepting their elec- tion as members of the Academy. Voted, To adjourn this meeting at its close to the second Wednesday of April, and to postpone the stated business of the meeting until then. The Chairman of the Ruraford Committee then introduced OF ARTS AND SCIENCES, 325 the special business of the evening, and handed to the Presi- dent the Rumford Medals (in gold and silver), on each of which had been engraved the following inscription : " Awarded by the American Academy of Arts and Sciences to John W. Draper, for. his Researches on Radiant Energy. May 25th, 1875." In presenting the medals, the, President said: — Gentlemen of the Academy, — The foundation of this Society, you all know, dates back but four years less than a century. It fol- lowed close upon tlie adoption of the form of government of the State itself. Further than this privilege of a corporation, 1 am not aware that the State has since bestowed any aid to it whatever. During the long period that has intervened, the individual members have steadily and honestly contributed their labors and their money to the advance- ment of science and of the arts, the evidence of which is to be found as well in the collections of the library as in the long series of their published transactions. We have not been so lucky as to earn the favor of the generous and wealthy at all in the proportion given to some other institutions of the same general character. In point of fact, we have to ascribe our success more to our own energies than to the assistance of pati'ons. This is no bad sign for the future. The Academy was never in more healthy and vigorous condition than at this moment. The meetings are constantly attended by numbers who ap- pear to give or to receive with interest the many valuable contributions to knowledge which ultimately take their place in the formidable vol- umes open to the inspection of the world. Yet it is not to be understood from what I have said that the insti- tution has been altogether without liberal assistance from several sources. The most remarkable instance of a benefaction was perhaps the earliest, that of Benjamin Thompson, better known under the name of Count Rumford, wlio, eighty years ago, presented to the Academy the sum of five thousand dollars, to be devoted to the stimulation of tlie study of the various phenomena connected with light and heat, by tlie presentation of medals of value as honorary rewards to successful re- search. It is to the credit of the Academy, in these degenerate days, to find that its administration of this property has fully justified the confidence of the donor, the original sum having increased more than fourfold over and above the cost of the medals which have from time to time been awarded to successful investigation of the great subjects proposed for study and examination. 32(3 PROCEEDINGS OP THE AMERICAN ACADEMY It now becomes my agreeable duty to annoimce the fact that, after a careful review of the meritorious services of Professor Draper in this great field of inquii-y, the committee having the subject in their charf^e have, for reasons given by them, recommended through their Chair- man, that the medals prescribed in the deed of trust should be presented to him as having fully deserved them. It falls to my lot only to re- capitulate in brief some of these reasons. Jn 1840 Dr. Draper independently discovered the peculiar pheno- mena commonly known as Moser's images, which are formed when a medal or coin is placed upon a polished surface of glass or metal. These images remain, as it were, latent, until a vapor is allowed to condense upon the surface, when the image is developed and becomes visible. At a later period he devised the method of measuring the intensity of the chemical action of light, afterwards perfected and employed by Bunsen and Roscoe in their elaborate investigations. This method consists in exposing to the source of light a mixture of equal volumes of chlorine and hydrogen gases. Combination takes place more or less rapidly, and the intensity of the chemical action of the light is measured by the diminution in volume. No other known method compares with this in accuracy, and most valuable results have beea obtained by its use. In an elaborate investigation, published in 1847, Dr. Draper estab- lished experimentally the following important facts : — 1 . All solid substances, and probably liquids, become incandescent at the same temperature. 2. The thermometric point at which substances become red-hot is about 977 Fahrenheit deiirees. 3. The spectrum of an incandescent solid is continuous ; it contains neither bright nor dark fixed lines. 4. From common temperatures nearly up to 977° Fahrenheit, the rays emitted by a solid are invisible. At that temperature they are red, and the heat of the incandescing body being made continuously to increase, other rays are added, increasing in refi'angibility as the tem- perature rises. 5. While the addition of rays, so much the more refrangible as the temperature is higher, is taking place, there is an increase in the inten- sity of those already existing. Thirteen years afterward, KirchhofF published his celebrated memoir on the relations between the coefficients of emission and absorption of OF ARTS AND SCIENCES. 327 bodies for light and heat, in which he established mathematically the same facts, and announced them as new. Dr. Draj^er claims, and we believe with justice, to have been the first to apply the daguerreotype process to taking portraits. Dr. Draper applied ruled glasses and specula to produce spectra for the study of the chemical action of light. Tlie employment of ruled metallic specula for this purpose enabled him to avoid the ab- sorbent action of glass and other, transparent media, as well as to establish the points of maximum and minimum intensity with reference to portions of the spectrum defined by their wave lengths. He ob- tained also the advantage of employing a normal spectrum in place of one which is abnormally condensed at one end and expanded at the other. We owe to him valuable and original researches on the nature of the rays absorbed in the growth of plants in sunlight. These re- searches prove that the maximum action is produced by the yellow rays, and they have been fully confirmed by more recent investiga- tions. We owe to him, further, an elaborate discussion of the chemical action of light, supported in a great measure by his own experiments, and proving conclusively, and, as we believe, for the first time, that rays of all wave lengths are capable of producing chemical changes, and that too little account has hitherto been taken of the nature of the substance in which the decomposition is produced. Finally, Dr. Draper has recently published researches on the dis- tribution of heat in the spectrum, which are of the highest interest, and which have largely contributed to the advancement of our knowledge of the subject of radiant energy. And now, in the absence of Dr. Draper, unable at this inclement season to execute a fatiguing journey, it gives me pleasure to recognize you, Mr. Quincy, as his worthy and competent i-epresentative. I pray you, in receiving these two medals on his behalf, in accord- ance with the terms of the original trust, to assure him, on the part of the Academy, of the high satisfaction taken by all its Fellows in doing honor to those who, like him, take a prominent rank in the advance of science throughout the world. o Mr. Quincy, on receiving the medals, said : — Mr. President, — In the name and on the behalf of Dr. Draper I have the honor to receive the Rumford Medals in gold and silver, 328 PROCEEDINGS OF THE AMERICAN ACADEMY which the Academy has been pleased to award to him, and I will have them safely conveyed to him to-morrow, together with the assur- ances of the satisfaction of the Academy in this action which you wish me to comnmnicate to him. In common with yourself, Sir, and all the Fellows present, 1 regret that that eminent peison is unable to attend this meeting and receive the medals himself. And, personally, I re- gret the absence of Dr. Wolcott Gibbs, who had promised to perform this grateful service for his friend, and who would have been able to make a more suitable reply to the able discourse with which you have accompanied the presentation of the medals, and to have done more justice to the claims of Dr. Draper to this distinction than I can pre- tend to do. Dr. Gibbs having also been unavoidably prevented from being present this evening, I have now the honor to read a communi- cation from Dr. Draper to the Academy, in acknowledgment of this testimony to his services to science. Mr. Quincy then read the following letter : — To the American Academy of Arts and Sciences. Your favorable appreciation of my Researches on Radiations, ex- pressed to-day by the award of the Rumford Medal, the highest testi- monial of approbation that American science has to bestow on those who have devoted themselves to the enlargement of knowledge, is to me a most acceptable return for the attention I have given to that subject through a period of more tlian forty years, and I deeply regret that through ill-health I am unable to receive it in person. Sir David Brewster, to whom science is under so many obligations for the discoveries he made, once said to me that the solar spectrum is a world in itself, and that the study of it will never be completed. His remark is perfectly just. But the spectrum is only a single manifestation of that infinite ether wliich makes known to us the presence of the universe, and in which whatever exists — if I may be permitted to say so — lives and moves and has its being. What object, then, can be offered to us more worthy of contemplation than the attributes of this intermedium between ourselves and the outer world ? Its existence, the modes of motion through it, its transverse vibra- tions, their creation of the ideas of light and colors in tlie mind, the interferences of its waves, polarization, the conception of radiations and their physical and chemical effects, — these have occupied the thoughts OF ARTS AND SCIENCES. 329 of me'i of the highest order. The observational powers of science have beeu greatly extended through tlie consequent invention of those grand instruments, the telescope, the microscope, the spectrometer. Through these we have obtained more majestic views of the nature of the uni- verse. Through tliese we are able to contemplate the structure and genesis of other systems of worlds, and are gathering information as to the chemical coustitution and liistory of the stars. In this noble advancement of science you, through some of your members, have taken no inconspicuous part. It adds impressively to the honor you have this day conferred on me, that your action is the deliberate determination of competent, severe, impartial judges. I cannot adequately express my feelings of gratitude in such a presence, publicly pronouncing its approval on what I have done. I am, gentlemen, very truly yours, John W. Draper. Professor Watson gave an account of an excursion upon the Marne, with a description of the drum-weirs and river- gates for inland navigation. Professor Cooke exhibited the radiometer of Professor Crookes, and gave tlie results of some ex]3eriments he had made with it. Professor William Everett presented a communication on the sources of the Nile. He first called attention to the fact that the wonderful extension of our knowledge in the last few years on this subject had come from explorations directed from the south, rather than from the direction of Egypt. In connection with these expeditions, attention had again been directed to earlier discoveries. The veracity of the Portuguese explorers had been attested, and the value of some of the very earliest accounts reasserted. Dr. Living- stone especially had dwelt with great confidence — probably too great — on Herodotus's view of the Nile sources. But a still earlier writer than Herodotus had not received due attention. In the Prometheus of ^schylus, lines 800-815, the wanderings of lo are described with some vagueness, it is true, but in terms which appeared to Professor Everett to indicate a journey to the extreme east, afterwards tending 330 PROCEEDINGS OF THE AMERICAN ACADEMY to the south, and approaching Africa from the south-east by a certain ITorayuo? Aldioyjr, which he believed to be the Zambesi. The course is then directed along the shore of this, as in Livingstone's second expedition ; the central plateau is then entered, as in his last ; and the upper falls of the Nile are visited, — as by Speke and Baker, — where it descends Bu/SXlvcou opoiv diro, which Professor Everett thought indicated the vast reaches overgrown by the Byblus reed, so prominently noticed by Sir Samuel Baker. The date of the Prometheus is approximately 472 before Christ. Attention was also called to the verifications of the Homeric geography, given by Mr. Gladstone in 1858, and since more accurately worked out in Germany. Six hundred and ninetieth Meeting. April 12, 1876. — Adjourned Stated Meeting. The Vice-President in the chair. The Corresponding Secretary read letters from Messrs. Hamlin and Marsh, accepting their election as members of the Academy ; also, a letter from Mr. E. A. Thompson, of North Woburn, asking aid in securing the house of Count Rumford for public purposes. It was Voted, To present to the North Woburn Literary Associa- tion a copy of the " Life and Works of Count Rumford." The following gentlemen were elected into the Academy: — John Langdon Sibley, of Cambridge, to be Resident Fel- low in Class IH., Section 2. Henry A. Rowland, of Baltimore, to be an Associate Fellow in Class I., Section 3. Balfour Stewart, of Manchester, to be a Foreign Honorary Member in Class I., Section 3. On the recommendation of the Rumford Committee, it was Voted, To allow the Associate Fellows to purchase copies OF ARTS AND SCIENCES. 331 of the " Life and Works of Count Rumford" at the same rate as the Resident Fellows. The committee appointed to consider the memorial of the Boston Society of Civil Engineers, regarding the introduc- tion of the metric system, reported, recommending that the President be authorized to sign this memorial. After con- siderable discussion, it was Voted, To indefinitely postpone this subject. The following papers were presented : — " On George B. Grant's Calculating Machine." By William A. Rogers. " On the Methods and Precision of Meridian Observa- tions." By Truman H. S afford. " On a New Form of Induction Apparatus." By Henry P. Bowditch. " On the Binary System of Arithmetic." By Benjamin Peirce. Six hundred and ninety-first Meeting. May 10, 1870. — Monthly Meeting. The President in the chair. The Corresponding Secretary read a letter from Mr. J. L. Sibley, acknowledging his election into the Academy. The Corresponding Secretary presented the Annual Report of the Council, which was accepted, and is hereto appended. The following papers were presented : — "Some Formulfe relating to the Motions of Planets and Comets." By T. H. Safford. " On the Three Brombenzylbromides." By C. L. Jackson. " On Telegraphing Musical Sounds." By A. G. Bell. ''' On the Perturbations of Uranus by Neptune." By Benjamin Peirce. Professor Pickering presented the following papers : — " On the Intensity of Sound." By W. W. Jacques. " On the Diffraction of Sound." By W. W. Jacques. 332 PROCEEDINGS OF THE AMERICAN ACADEMY, Professor Trowbridge presented the following papers by title : — " On the Change in Conductivity of Copper Wires resulting from Stretching." By G. S. Pine. " On the Distribution of Magnetism on Armatures." By Harold Whiting. Dr. Robert Amory exhibited some photographs which he had taken of the Solar Spectrum, in which the D line was for the first time distinctly represented. REPORT OF THE COUNCIL. Since the last Report, May 11, 1874, the Academy has lost by death twelve members, as follows : five Fellows, John Henry Clifford, Horatio B. Hackett, Joel Parker, Joseph Winlock, and Chauncey Wright ; three Associate Fellows, Horace Binney, Sir William Logan, and William Sweet- ser ; four Foreign Honorary Members, Gabriel Andral, Gino Capponi, Charles de Remusat, and Sir Charles Wheatstone. During the year, the Council have also, and for the first time, received notice of the death of Eyries, the Duke di Serradifalco, and De Macedo, three Foreign Honorary Mem- bers whose decease took place several years since. JOHN HENRY CLIFFORD. The Honorable John Henry Clifford was born at Provi- dence, Rhode Island, on the 16th of January, 1809, and was graduated at Brown University in 1827. He studied law in Massachusetts, was admitted to the Bar of Bristol County in 1830, and was a resident of New Bedford until his death. In 1835, he entered the Legislature of Massachusetts, as a Representative of New Bedford, and was a mem- ber of the committee for the revision of the Statutes. In 1839, he was appointed District Attorney for the Southern District of Massa- chusetts, and served the Commonwealth in that capacity for ten years. In 1845, he was elected to the Senate of the State; and, in 1849, he became Attorney-General of the Commonwealth, and was con- tinued in that office for four years. During this period, he acquired wide distinction for his management of the prosecution and conviction of Professor Webster. In 1853, he was elected Governor of Massa- 334 HOEATIO BALCH HACKETT. cimsetts, and discharged the duties of that office with great ability. He declined a re-election, however, and again assumed the office of Attorney-General, by the appointment of Govei-nor Washburn, and afterwards by the election, successively, of the Legislature and of the people. In 1862, he re-entered the Senate of Massachusetts, and was President of that body. In 18G7, he accepted the position of Presi- dent of the Boston and Providence Railroad Company, and devoted himself mainly to business pursuits for the remainder of his life. In 1874, the a2:)pointment of United States Minister to Russia was offered to him by President Grant, and afterwards that to Turkey; but he declined them both. He w^as for many years one of the Over- seers of Harvard Univei'sity, and President of that Board ; and, as one of the Trustees of Mr. George Peabody's great Education Fund for the Southern States, he had become known far beyond the limits of his own State- In 1875, he made a visit to Europe for the benefit of his own health and that of his family ; but soon after his return home he was struck down by fatal illness, and died on the 2d of January, 1876, in the sixty- seventh year of his age. Governor Clifford was a man of marked ability, and in every station which he held he exhibited peculiar capacity for public usefulness. Few men of our time have left their names on the records of Mas- sachusetts more distinctly or more enviably. He was genial, warm- hearted, public-spirited, 2)atriotic, and greatly endeared to his friends in all parts of the country. His death was the occasion of widespread sorrow, and his memory will long be cherished as that of a Christian gentleman, whose character and whole career had reflected the highest honor on New England. HORATIO BALCH HACKETT. Horatio Balch Hackett died very suddenly in Rochester, N.Y,, November 2, 1875. He was born in Salisbury, Mass., in the year 1808. He fitted for Amherst College at Phillips Academy, in An- dover, where he distinguished himself as a scholar ; and his oration, on leaving that institution, was of such marked merit, that it led one of the Trustees to offer to defray the expenses of his college course. He entered Amherst College in 1826, and was graduated with its highest honors in 1830. He completed the regular course of theological studies in Andover in 1834, after which he went to Germany, and studied for some time at Halle and Berlin. On his return, he spent one year as a HORATIO BALCH HACKETT. 335 Tutor in Amherst College, and was then chosen Professor of Ancient Languages in Brown University, in Providence, R.I. After four years (1835-39), he was invited to fill the chair of Biblical Literature in the Newton Theological Institution. He occupied this position until 1869 ; and, after spending one year in the service of the American Bible Union, he accepted the appointment of Professor of Biblical Literature in the Rochester Theological Seminary, which position he occupied at the time of his death. He was also for several of the last years of his life a member of the American Committee for the revision of the English Scriptures. In 1851-52, Dr. Hackett travelled in Italy, Egypt, Palestine, and other countries. In 1858-59, he resided several months in Athens, for the purpose of studying Modern Greek, as auxiliary to the inter- pretation of the New Testament. As a scholar, he was both comprehensive and exact. As a teacher, he combined in rare union the minutest accuracy in details with the most fervid enthusiasm. His love of truth was intense, his devotion to sacred literature absorbing, his industry unsurpassed, and his mind remarkably free from theological and other prepossessions. His com- prehensive-and exact classical scholarship was coupled with an unusual mastery of pure, perspicuous, and picturesque English, and his modesty was equal to his learning. His published works are an edition of Plutarch's " De Sera Numinis Vindicta," with notes, Andover, 1844, afterwards republished with additional notes, as the joint work of himself and Professor Tyler, of Amherst ; a Translation of Winer's Chaldee Grammar, with additions, 1845 ; a Hebrew Reader, 1847 ; a Commentary on the Book of Acts, 1851, republished with considerable enlargement in 1858 ; Illustrations of Scripture, suggested by a Tour through the Holy Land, 1855, which has passed through several editions, and been rejjrinted in England and Scotland, and is his principal work ; Memorials of the War, a volume comprising brief notices of Christian heroes who fell in the service of their country during the civil war; the Epistle of Paul to Philemon, a new Translation with notes for the American Bible Union ; an Ameri- can Edition of Smith's Dictionary of the Bible, with many additions and improvements, of which Dr. Ezra Abbot, of Cambridge, was a joint editor ; and, lastly, many valuable articles contributed from time to time to the Christian Review, and the Bibliotheca Sacra. 336 JOEL PARKER. JOEL PARKER. The limited space within which the Academy is obliged to confine the notices of its departed members, in the published volumes of its Proceedings, gives but little opportunity to do justice to the memory of the Hon. Joel Parker, of Cambridge, whose death occurred August 17, 1875, at the age of eighty years. He became a Fellow of the Academy February 1, 1853. He was born in JafFrey, N.H., January 25. 1795, the youngest of nine children of the Hon. Abel Parker, who was for many years Judge of Probate for the County of Cheshire. He was prepared for Dartmouth College at Groton Academy, and graduated in 1811, being then less than seventeen years of age. Among his classmates were Amos Kendall, and Chief Justice Shepley, of Maine. He was admitted to the Bar of Cheshire County in October, 1817, and en- tered upon the practice of the law in Keene, which, with the exception of about a year, was his place of residence till his removal to Cam- bridge, in 1848. After a career of distinguished success at the Bar, and a service of two years in the Legislature of that State, he was appointed a Judge of the Suj^erior Court of New Hampshire in 1833, and to the place of its Chief Justice in 1838. He held judicial office with great acceptance to the Bar and the public till 1848, when, having been invited to the Royall Professorsliip in the Harvard Law School, he resigned his place upon the bench, and entered upon the duties of his new appointment. He held this office till 1868, when he resigned it, and from 1868 to 1874, without changing his residence, he gave courses of lectures as a Professor of Law to the Senior Class in Dartmouth College, upon the Constitution of the United States. He also lectured upon the same subject to the members of the Columbian Law School in Washington. He was a professor of Medical Juris- prudence in the Medical School of the last-named institution from 1847 to 1857. He had previously lectured on the same subject in 1851 in the Boylston Medical School, and in the Medical College in New York. His public services, after removing to Cambridge, aside from his duties as a professor and lecturer, consisted of a member- ship of the Constitutional Convention of Massachusetts in 1853, and an active part in the revision of the statutes of that State, to which he was appointed in 1855. Among the indications of the estimate in which he was held as a jurist and scholar, may be mentioned the degree of LL.D., which was conferred upon him by his Alma Mater in 1837, and by Harvard College in 1848. He was also a member of the Massachusetts Historical Society. JOEL PARKER. 337 Though a close and earnest student all his life, and constantly busy with his pen, unfortunately for the permanency of his fame as an author, he left no considerable work upon any one topic, which is the more to be regretted, wlien what he did leave shows such unquestion- able ability to do ample justice to any subject which he might have undertaken. His legal opinions, as a judge, extend through thirteen volumes of the New Hampshire Reports, and will be lasting memorials of his learning, diligence, judicial afcumen, and independent judgment. Many -of them were upon new and important questions, and evince a remarkable skill at analysis and profound discrimination, wliich were marked characteristics of his mind. Among them will be found the memorable discussion of certain questions growing out of the construc- tion to be given to the word " lien," made use of in the United States Bankrupt Law of 1841, upon which Judge Story had given able and elaborate opinions, which he projjosed to enforce in opposition to those entertained by Chief Justice Parker. It is sufficient for the purposes of this notice to say that, upon tlie final determination of these ques- tions by the Supreme Court of the United States, the positions assumed by Judge Parker, and which he was equally resolute with his distinguished antagonist to maintain, were fully sustained. His publications, aside from his judicial opinions, consisted of lectures, addresses, literary and historical, and essays and discussions upon questions of constitutional law, which, if collected, would form a large volume replete with learning and profound thought, suited as well to the future as to the then condition of the country which called them out. No one who should read them would need to be told that he was not only a bold and independent thinker, but that he never tem- porized in his course where he thought ^jublic duty led the way. If, now, we pass from a consideration of his public life to the quali- ties for which he was distinguished within the precincts of his own home, it may be remarked that his wife, who survives him, was the daughter of Elijah Parker, Esq., his former professional partner. They had three children, of whom a son and a daughter now survive him. With all his habits of close and severe thought and study in the performance of his official duties, he was eminently domestic in his tastes and occupations. He loved to make his home pleasant by its surroundings. He indulged in the culture of flowers, the reading of his favorite poets, and the free and familiar converse with his family and friends, characterized, as it often was, by a vein of genial and play- ful humor which broke down every tiling like stiffness or reserve in his intercourse in domestic life. VOL. XI. (n. s. III.) 22 338 JOEL PAKKER. As a judge, he was courteous, patient, and willing to listen atten- tively, and to weigh candidly whatever was addressed to his judgment, hringiiig to his conclusions the processes of close reasoning and careful analysis, which were among the leading characteristics of his mind. As an instructor in law, he was thorough in his preparation, clear in his statements, without any attempt at rhetoric or fine composition, leaving upon the minds of his pupils definite and lasting impressions of the propositions which it was his purpose to enforce. Hundreds, who are now among the leading minds at the American bar, would bear willing testimony to his fidelity as a teacher, as well as the cour- tesy and urbanity which marked his intercourse with those who sought his instruction or counsel. In the social intercourse of life, he was dignified without coldness, often playful, but never frivolous, with easy and agreeable manners, and a mind well stocked with general information and ready resources- He was not hasty in forming his opinions ; but, when foi-med, he had no hesitancy in avowing and maintaining them. So far as these related to questions which grew out of the unhappy civil war in which the country was engaged, it is enough to say that he stood boldly and manfully for the Constitution in its integrity, by applying to it a higher test than the exjiediency of the hour. With such qualities of mind, and such habits of keen and careful observation and investigation as he brought to every subject with which he engaged, he would have been eminent in any of the depart- ments of science into which the Academy is divided. Horticulture was with him a study and a delight ; but his pursuits were chiefly connected with literature, and the profession he had chosen. He was much at home with the early history of New England and her institutions, and contributed several valuable articles upon subjects connected with these, which are among his published works. He was true to the last in his fidelity to his Alma IMater. He was of her Board of Trustees from 1843 to 1860; and, at his death, remembered her together with the interests of the science to which his life had been devoted, by a liberal benefaction for founding a law school in that institution. Although enough has been shown to claim for Judted by one experienced officer of the survey, by several eminent astronomers and physicists, and by one of his own staff at the Observatory. Among the physical and astronomical instru- ments which he prepared for this expedition was a lens of 32 J feet in JOSEPH WINLOCK. 345 focal length, to be used in the manner just described for instantane- ous photographs. At this time, Mr. Winlock's method was widely known and highly appreciated, and every party which went into the • fieid to observe this eclijjse had decided to dispense with an eye-piece, and photograph in the focus of the object-glass. Unfortunately all the parties, European and American, failed, by reason of bad weather, in obtaining a picture of the corona, except the party in Spain ; and there, also, the sky was not favorable for the best results. All the observers who went to India to photograph the total eclipse of 1871 preferred the same method, and were successful. Lord Lindsay applied it at the Mauritius in connection with the horizontal telescope. A telescope of long focus is not a new thing; a telescope placed upon the ground is not a new thing ; there is no novelty about the heliostat ; more than one person may have discovered the advantage in photo- graphing which belongs to telescopes of great focal length. Neverthe- less, the adaptation to photographic purposes of a telescope of long focus, fixed horizontally, and used without an eye-piece or a heliostat, is original, and whatever merit there is in it belongs to Mr. Winlock. In a former generation, an eclipse of the sun excited the interest of astronomers, as furnishing the means of verifying or correcting the dynamical theory, or giving differences of geographical longitude. It is the consolation of science, that as fast as old fields are exhausted new ones call loudly for cultivation. As soon as one question is set- tled and curiosity flags, another problem springs into life and a fresh interest is born. The old ambition to fit out a comet with its orbit has yielded to the passion for knowing more about its physical changes and constitution. Now that the law of gravitation asserts an un- challenged supremacy in tlie solar system, the complex structure of the sun and the origin of the solar radiations claim a share of the astronomer's attention. In this way piiysical astronomy has accpiired a new meaning ; and a physical as distinguished from an astronomical observatory, either under the same or an independent superintendence, is one of the necessities of to-day's astronomy. It has been largely in the interest of physical astronomy, in this new sense, that observers have traversed continents, crossed oceans, and taken up their quarters in desolate islands, wherever a total eclipse of the sun or the transit of Venus has invited them. Where special physical observatories liave not been started, the old observatories must assume their work, but not to the prejudice of the preferred duties of an astronomical observatory. Mr. Winlock gave a liberal portion of his time to celes- tial spectroscopy, and stocked the Observatory with the requisite 346 JOSEPH WINLOCK. instruments, and of the best class. These little instruments divided with tlie larger ones the benefits of his inventive spirit. In his two eclipse expeditions, he provided abundantly for the spectroscopic exam- ination of the sun's surroundings, catching the sun itself in the reversal- of the lines, and witnessing other interesting transformations. The secret of his success lies in the direction of his rule of having a definite idea of what he wished to do, and the best way of doing it, before going into the field. He went to Spain with the purpose of studying especially that feiinter portion of the si;n's corona wliich is outside the limits of the best photography. His experience in the Kentucky expedition had taught him that much valuable time is lost in the brief duration of totality, when the position of the dark or bright lines is registered by means of a scale which must be read and recorded at the time. To meet tliis difficulty, he invented the simple expedient of graving corresponding lines upon a silver plate, previously graduated by a few standard spectral lines. The diffisrences could be leisurely measured at some future time. This improvement was promptly adopted by the English astronomers, and applied by them to the eclipse of 1870. Mr. Winlock was of opinion that his contrivance would be useful in observing the spectra of comets and nebulos, and wherever the lines were faint. It might also be convenient for finding declination with meridian instruments. Another device was the use of a mirror to reflect the slit, and enable the observer to place it upon any part of the sun's image without the help of an assistant. In January, 1854, the Hon. R. C. Winthrop, Chairman of the Com- mittee of the Board of Overseers of Harvard College, appointed to visit the Observatory, reported that the Observatory time was sent to Boston for the regulation of marine chronometers, for the arrange- ment of railroads, and for the general convenience of the people through a large part of New Plngland. He adds : " The impor- tance of such a system to the business operations of the community can hardly be ovex'-estimated." At this time the signals were sent to Boston by way of Watertown, Brighton, and Roxbury, a circuitous line of twelve miles in length, and the wires were often broken. In 185G, a loop connected the Observatory with the Fitchburg line, and was owned by it until 18G2. This has, of course, been available for the occasional transmission of time ; but it was designed for the deter- mination of diiferences of geographical longitude, in connection with the United States Coast Survey ; a service which begin under the administration of the first Director, and has been continually expand- ing, until it has taken into its embrace the Pacific coast and the JOSEPH WESTLOCK. 347 western shore of Europe. In 1866, the necessities of the Coast Survey demanded that the loop should be renewed between the Observatory and the main lines of the country ; and this was done at the expense of the survey. From its foundation, the Observatory, in one way or another, had furnished ex;ict time to the community gratuitously ; for which, elsewhere, observatories receive a liberal com- jjeusation. In 1872, Mr. Winlock introduced improvements whidi have made tliis service more widely and constantly useful, and at the same time remunerative. A contract was made for a special wire between Cambridge and Boston, which should not be diverted to any other business. An attachment to the mean-time clock of the Obser- vatory interrui)ts the voltaic current once in each two seconds, omitting the last break of every minute, and the last thirteen breaks of every five minutes, so that there can be no mistake as to the identity of any second or minute. Bi-anch wires unite the City Hall of Boston, the telegraph offices and railroad depots, and the principal clock and watch factories and warehouses with the first wire. In some places, an electro-magnetic clock is used, controlled by the Observatory clock ; but a chea25 vibrating armature is all which is necessary, and is generally employed. The superiority of the new system is here : clocks, watches, and chronometers can be compared with the best standard time, not merely once a day, but at any moment ; and the public have appreciated and rewarded it. In one sense, it may be always said that time is money. In this instance, the Observatory time has opened so good a market that it has yielded a yearly income of $2,000. In 1872, Mr. Winlock began to prepare a series of astronomical engravings, which should represent, with sufficient accuracy, the most interesting objects in the heavens, as they appear in the powerful instruments of the Observatory. This work was intended for the benefit, not of astronomers, to whom the " Annals" are accessible, and precise measurements are indispensable, but of a larger class of readers, who, without pursuing asti'onomy as a specialty, are interested in following its progress and achievements. Thirty-five large plates, beautifully executed from the most carefully prepared drawings and photograi)hs, were completed at the time of Mr. Winlock's death, and wait oidy for a few pages of letter-press to be ready for publication. They will gratify the scientific public with admirable representations of the [)lanets. Mars, Jupitei", and the ring-encompassed Saturn ; of the sun's spots, protuberances, and corona ; of the moon's craters and geography ; of seven of the most famous clusters and nebulije ; of 348 JOSEPH WINLOCK. Donati's comet of 1858, and Coggia's comet of 1874, in some of their wonderful transformations. In August, 1874, Mr. Winlock was appointed by Secretary Bristow chairman of the commission established by Act of Congress for making inquiries into the causes of steam-boiler explosions. He entered into this investigation with remarkable energy; carefully analyzed the various theories which had been suggested to explain this class of accidents ; and ended with devising a number of ingenious experi- ments calculated either to confirm or refute them in detail. The arrangements were nearly completed for making these experiments at Sandy Hook and at Pittsburgh, when death put an end to his labors. In the early part of his active career, Mr. Winlock was known and trusted as an accomplished teacher and an excellent mathematician ; well versed in theoretical astronomy, and capable of applying it in laborious and responsible calculations. These qualifications pointed him out as a projier person to be made director of an observatory. With his new opportunity, he developed other talents, which, if not indispensable, were none the less valuable iu his changed condition. It might have been expected that his clear mathematical mind would easily comprehend the physics and the geometry of the instruments whose usefulness he was to guide, and seize upon any defects which miii'ht exist in their construction. In devising remedies for these defects, as simple as they were sufficient, he displayed an originality in his mechanical ideas, and a spirit of invention, which left nothing wantinij to fill out the measure of a consummate director. AYithout any passion for innovation, or any conceit of his own methods, he was not afraid to leave an easy and well-worn path, or disturb the most time-hallowed routine, if he could give good reasons for the change. The life of an assistant at an observatory, obliged to work while other men sleep, exposed to the caprices of the clouds, made nervous by the irregularity of his hours, the nice handling of his instruments, and the delicacy of the work expected of him ; disappointed at the critical moment in realizing the fruits of anxious days of preparation, — such a life is dependent, in no small degree, not only for its happiness, but its endurance even, upon innumerable and indescribable little facilities for observation, which individually are not worth the mention, but which in the aggregate tell distinctly upon the success and the comfort of the profession. In his many innovations, of which every room and each instrument in the Observatory is a witness, Mr. Winlock was not misled by any theoretical abstractions, but moved always within the limits of practical good sense. JOSEPH WIXLOCK. 849 In his administrative capacity, whicli was tested in the Nautical Almanac, at the Observatory, and on two eclipse expeditions, Mr Win- lock evinced a disinterestedness, a strength, and a tranquillity of mind, which commanded the respect and won the affection of his associates. His leadership was nowhere asserted, but everywhere acknowledged. A man of few words, but of much thought ; of no pretensions, but of great performance, — he did his own part patiently and well, and by his example inspired others to do theirs. The magnitude and the variety of work embraced in liis j^rogramme, none of which suffered by default, certify to the prudence and the vigor with which his forces were selected and marshalled. In his private life, Mr. Winlock was exceptionally quiet and retir- ing. But little inclined to general society, he was full of hospitality. His hajipiness was not complete without a few very intimate friends ; and he had no enemies. He was remarkably silent before strangers ; but no one talked more or better in the circles which he loved. Indis- posed as he was to take up his pen, when he wrote his words were as transparent as his thoughts. Modest and without self-assertion, he had as much as any other man the courage of his own opinions. Slow to put himself forward, he was genial and accessible ; giving his time and his instruction freely to all who asked ; never hoarding up a dis- covery for his own exclusive benefit, but sharing with all his last thought and his newest invention. He was keenly alive to the ridicu- lous ; but there was no ill-nature in his criticisms. Pretence and charlatanism in science amused him ; but they did not destroy his equanimity. Without any selfish aims, he took no security for his own discoveries and inventions ; so that others, less scrujjulous than he was, too often entered into his labors. His friends sometimes wished that his ambition had been more aggressive ; but perhaps he was wiser, in the simplicity of his character and the purity of his motives, than the men of this generation. The discoveries and inventions which he did not claim for himself will be vindicated for him. In an age of bribery and corruption, every example of honor and fidelity in the execution of a public trust is to be cherished. In an age, when superficiality is preferred to depth, when the aspirants for scientific distinction sometimes forget to be just, and even the stars of heaven are obscured by the dust of earth, every life consecrated to honest study, not deflected from its high path by the love of popular applause, silent in its own strength, as the planets whose courses it follows, is a blessing and a legacy to mankind. In an age, when priority of discovery often counts for more than the advancement of S50 CHAUNCEY WEIGHT. human knowledge, and the vahie of inventions is read only on the liatent-rolls, the seeds which are scattered broadcast by the roadside and not selfishly garnered in some private granary, though the sower may have no sense of his own merits, will make the harvest of future science. The deep impression which a quiet, unobtrusive, self-poised career, like that of Mr. Winlock, makes upon the community, can never be known until it is finished. And then we see the beautiful spectacle of all — friends and strangers, those who knew him best, and those who seemed to know him but little — spontaneously offerino- the tributes of gratitude and affection which they would have refused to the noisy claimant. This is the best hope and the highest reward of science. CHAUNCEY WRIGHT. Chauncey Wright, who died suddenly at Cambridge on the 12th of September, 1875, was born at Northampton, September 20, 1830, and was graduated at Harvard College in 1852. He was an accomplished and able mathematician, and was a member of the Academy in the mathematical section ; but it was in the direction of philosophy that his original, profound, and accurate thought had its most congenial exercise, and found frequent public expression through various journals and reviews. After the publication of Darwin's Origin of Species, his attention was chiefly devoted to the discussion which then received so powerful an impulse ; and he is, probably, most widely known as a participant in that discussion. One of his articles, wliich appeared in the " North American Review," was con- sidered so important a contribution to the literature of this school, tliat it was republished in pamphlet form in England, — a compliment the more noteworthy, because it was paid to one who was not a professed naturalist. Mr. Wright took much interest in this Academy, and was for several years its Secretary. He exerted an important and peculiar influence in scientific and literary circles, and one which, theie is every reason to believe, would have become wide and commanding, if his life had been spared. We cannot hesitate to say' that his loss is one of the most serious that the Academy and the whole educated com- munity have this year to deplore ; and we are glad to learn that his friends are preparing a republication of his writings, now scattered through the volumes of periodicals, and will join to it an account of his life and mental characteristics. HORACE BIKNEY. 851 HORACE BINNEY. Horace Binney was born in Philadelphia, on the 4th of January, 1780, and died in that city on the 12th of August, 1875, having more than half completed his ninety-sixth year. Though Philadelphia saw his birth and death, and witnessed his honored public and private life for tliree quarters of a century, Massachnsetts furnished the sound stock from which his paternal ancestry sprung. The first Binney of his race emigrated to New England in 1680. He came from Hull, in England, and was one of the founders of the worthy little town of the same name on our coast, looking towards Nantasket Roads, distin- guished for many years as the seat of the smallest constituency entitled to representation in the country, vying in that particular with Old Sarum itself, until the ruthless hand of reform swept away its Lillipu- tian franchise. The sea offered an obvious career to the inhabitants of the miniature township ; and, accordingly, early in the last century we find the grandfather of Mr. Binney sailing out of Boston, as master of a vessel, and afterwards established there in trade. His son, Barnabas Binney, made a step forward in life, being one of the first thirty graduates of Brown University, taking his degree in 1774. He received whatever medical education the countiy then afforded at Philadelphia, and, on the breaking out of the war, he took service as a surgeon in the Massachusetts line, fi-om which he was afterwards transferred to that of Pennsylvania. Dr. Binney settled in Phila- delphia, and married Mary Woodrow, of a good Scotch-Ii-ish family, in 1777. He is described as having been a man of unusual intellectual power, uncommonly well-read, of great strength of jjrinciple and force of character. His wife strongly resembled her husband in all the material qualities of his mind and character, and was in every respect a helpmeet for him. Whatever qualities of mind and tendencies of disposition Mr. Binney may have derived from his father, they came to him by inheritance only, as Di\ Binney died in 1787, when his son was but seven years old. His mother, however, was equal to the charge of his education, the beginnings of which were had at schools in Philadelphia and its neighborhood. In the year 1791, when her son was eleven years of age, Mrs. Binney entered into a second marriage with Dr. Marshall Spring, of Watertown, in this State, a connection which was in every way favorable to the happiness and improvement of the young boy. His mother survived her second marriage only two years, dying in 352 HORACE BIXXEY. 1793, just after his admission to college. Left thus on the very thresh- old of life, at thirteen, without father or mother to advise and direct him, he gave the best possible proof of his reverence for their memory, by his devotion to the opportunities of improvement which lay before him. In 1797, he took his degree at the head of his class, though but seventeen years old. Among his classmates were that eminent scholar, the Rev. Dr. William Jenks ; Dr. John Collins Warren ; Jud^e Daniel Appleton White ; Professor Asahel Stearns, the imme- diate predecessor of Judge Story in the Law School of the University, all of them Fellovrs of the Academy ; and Chief Justice William Merchant Richardson, of New Hampshire. Mr. Binney bore this testimony, long afterwards, to the advantages he had derived from his academic education : " The unfading art which I acquired at col- lege was that of study ; and, if the acquisitions I then made are faded or fallen from the surface, the art or faculty of study has never left me." A just recognition of the truth that the function of a Univer- sity is to train, even more than to store, the young mind. When young Binney first began to consider what should be the serious business of his life, it is not surprising that he should liave first inclined towards the profession of medicine. His father and his step-father having been both of them in that line of life, his thoughts naturally turned themselves in that direction. Dr. Spring, however, discouraged this inclination ; and he applied for admission to the counting-house of an eminent firm of merchants in Philadelphia, with the idea of devoting himself to trade. Fortunately for his future, there was no room for him there ; and, as a last resort, he turned to tlie law, and entered the office of Jared Ingersoll, an eminent lawyer of that day. Having once made his choice of the law as the business of his life, he applied the whole force of his mind, with all the power of application his previous discipline had given it, to mastering the science and learning the methods of its reduction to the business of life. His devotion to that jealous mistress was absolute ; and he allowed himself to be diverted from it by none of the seductions of pleasure or of society. In 1800, when but a little past his twentieth year, he was admitted to the bar, and entered upon that probationary novitiate through which all young lawyers have to pass. The enforced leisure of waiting, however, was sedulously improved by continued study and regular attendance ujjon the courts, to fit him for the success which awaited him. That success was not very long delayed. We have no room within the limits permitted us here to go into the particulars of his beginnings HORACE BINNEY. 353 and his progress. His gains could not have been insignificant during the first ten years of his professional life, since at the end of them, when he was but thirty years old, he was able to build the large and elegant house in Fourth Street, in which he lived for the remaining sixty-five years of his life. Indeed, he had but small reason to com- plain of neglected merit, when, at seven or eight and twenty, he was dividing the best business of Philadelphia with men much his seniors, and who enjoyed a national reputation for eminence in the law. At thirty-five, according to the authentic testimony of Mr. Justice Strong, of the Supreme Court of the United States, given in the Eulogium on the Life and Character of Mr. Binney, delivered last January, — at thirty-five he was " in the possession of all that the profession of the law could give to its professor, whether of reputation or emolu- ment." And, during those years of active practice, he prepared six volumes of Reports, condensing the decisions of the Supreme Court of Pennsylvania, from 1799 to 1814, of which Judge Strong says: "When they came from his hands, they left nothing to be desired. They must always be regarded as the work of an accomplished lawyer." He was a model lawyer in the earnest attention he gave to the business intrusted to him, and in his devotion to the interests of his clients. He was not to be turned aside from his practice at the bar by any of the usual allurements of ambition, not even of promo- tion to the highest distinctions of the law. While yet in the prime of his life, he twice declined offers of a place on the Supreme Bench of his own State, and at least once of one on that of the Supreme Court of the United States. Mr. Binney refused to be tempted to leave his profession by the fascinations of political life. A single term in the State Legislature in his youth, and one in Congress towai'ds the close of his active pro- fessional career, were all the deviations he made from his chosen path through life into that enchanted ground. And his consent- ing to serve his city in the twenty-third Congress was induced by the pressure of a great question, the right decision of which should have depended on the judicial voice of law, and not on the passionate outcries of partisan politics. It was at the time of the war declared by President Jackson against the Bank of the United States, which he waged as against a tribe of savages which he was bound to extir- pate iper fas aut nefas. Or, to use his own figure of speech, as against " a monster," of which it was reserved for him, as the appointed champion, to rid the land with whatever weapon came uppermost. Mr. Binney maintained the reputation he had gained at the bar in the VOL. XI. (n. s. III.) 23 354 HORACE BINNEY. new field of parliamentary debate ; but he only appeared in it on great occasions, to the height of which he always rose. The removal of the deposits of the Treasury from the United States Bank by General Jackson, in open defiance of law, and the threatening state of our relations with France, caused by the passionate violence of language of that headstrong magistrate, were the chief subjects which called forth Mr. Binney's eloquent resistance. At the adjournment of that Congress he retired from the political arena, determined never to enter it again. From Washington he returned to the practice of his profession, in which he continued actively engaged for about ten years longer. Then he withdrew from the conflicts of the bar ; but for several years longer acted as Chamber Counsel, and gave opinions in cases of legal difficulty, which were not unseldom accepted as final judgments by the parities in interest. His last appearance at the bar was when the attempt was made in 1844 to invalidate the will of Stephen Girard, as an attack ujiou Christianity. Mr. Binney was matched against Mr. Webster, who brought all the power of his thunderous eloquence to defend the Christian religion against this assault of the French infidel banker. Mr. Binney confined himself to a lucid exposition of the law of charitable bequests and its application to this case. The Supreme Court of the United States unanimously went with the lawyer and not with the orator, and maintained the validity of the will. It was a fitting occasion for the last words in court of a great lawj'^er. But, thougli Mr. Binney kept himself thus free from entanglement with politics, and gave himself with this entire dedication to the law, it was not because he did not take a deep interest in political questions. He alwavs gave the weight of his private and personal influence on the side he deemed the right one. His academic and professional education falling in the midst of the excitements of the French Revolution, and at the time of the birth of the political parties which sprung from that tremendous event, Mr. Binney began life as a Jeffersonian Democrat. His guardian. Dr. David .Jackson, in whose familv he lived, was one of the strong- est opponents of the administration of Washington ; and every domestic influence must have been on that side. But when he began to examine opinions and practices for himself, as his mind developed itself, he joined the Federal party from conviction of the truth of its pi'inciples and the purity of its purposes ; and he remained faithful to it through evil report and good report, as long as it had a name to live. When the war of the Rebellion broke out, Mr. Binney, though more than eighty years of age, stood by the Union HORACE BINKEY. 355 with the energy and devotion of the youngest patriot. He sustained the action of President Lincoln in its most stringent manifestations, though not without quahfications and remonstrance, after the worst of the danger was over, against the possible abuses of extraordinary powers. When Mr. Lincoln suspended the privilege of the writ of habeas corpus, by proclamation, without the consent of Congress, — action wdiich excited general doubt and widespread opposition, — Mr. Binney came to the rescue, and sustained the action of the President in three pamphlets, of which Judge Strong says that " they will never cease to be regarded as models of acute reasoning applied to Consti- tutional law." From the accounts given of it by those accustomed to hear him in court, Mr. Binney's forensic delivery was of the highest, because of the most fitting, description. Without aiming at flights of oratory, his speech was always exactly adapted to the needs of the trial. Though forcible and energetic, vehement even on occasion, his style was generally the calm, unimpassioned expression of the logic of the fiicts and the pure reason of the law of the case. Fluent without haste, deliberate without hesitation, exact in apprehension, and accurate in expression, never missing or mistaking a word, his sentences fell on the ear of judge or jury with beautiful completeness, and kept the attention awake by the grace of their style as well as by the distinct- ness of their meaning. His published writings, though too few, are marked by the same clearness, force, and elegance of style that distinguished his speech. His discourses on the Lives and Characters of Chief Justice Tilghman, of Pennsylvania, and of Chief Justice Marshall, of the United States, are models of that most difficult branch of oratory which deals with the characteristics of the dead. The delicacy of touch, the accuracy of discrimination, the nicety of analysis, the distinctness of characterization, with which he places the eminent qualities of those great magistrates before the mind of the reader, the whole warm with personal affection and radiant with generous admiration, show to what distinction he might have risen in literature, had he given himself to its pursuit. In 1850, at the age of seventy, Mr. Binney retired absolutely to private life, and addressed himself to the vocation — so dithcult to the most of men, so beautiful when it is well discharged — of growing old gracefully. How perfectly and how beautifully he did this, all can say who have ever had the happiness of seeing the handsome old man, his white locks crowned with the black velvet skull-cap he usually wore, in his delightful home, and of enjoying the pleasure of 356 HORACE BINNEY. his affluent talk, set off and enhanced by the charm of his majestic presence. The society of Mr. Binney had none of the drawbacks, from some of which extreme old age is rarely exempt. Besides having the perfect possession of his memory, and the same command of language as in his prime of life, he was in the full enjoyment of all the special senses. Though the weight of more than ninety years had abated his natural force, yet was his eye not dim, and it was a faithful and untirinaf servant to the end. And what is even more rare in the very old, his hearing was as perfect at ninety as at nineteen. There was, therefore, in his case, none of the painful consciousness of effort on the jiart of speaker an/. Ezra Abbot, William P. Atkinson, H. G. Denny, Epes S. Dixwell, William Everett, William W. Goodwin, Ephraim W. Gurney, Chandler Robbins, John L. Sibley, E. A. Sophocles, Edward J. Young, Cambridge. Boston. Boston. Cambridge. Cambridge. Cambridge. Cambridge. Boston. Cambridge. Cambridge. Cambridge. Section III. — 18. Political Econouiij and History. Chas. F. Adams, Jr., Quincy. Henry Adams, Boston. Erastus B. Bigelow, Caleb Cashing, Charles Deane, Charles F. Dunbar, Samuel Eliot, George E. Ellis, E. L. God kin, William Gray, Edward Everett Hale, Boston. J. L. Motley, Boston. Francis Parkman, A. P. Peabody, Edmund Quincy, Nathaniel Thayer, Henry W. Torrey, Boston. Newburyport. Cambridge. Cambridge. Boston. Boston. Cambridge. Boston. Brookline. Cambridge. Dedham. Boston. Cambridge. Robert C. Winthrop, Boston. Section IV. — 16. Literature and the Charles F. Adams, William T. Andrews, George S. Boutwell, J. Elliot Cabot, Francis J. Child, Ralph Waldo Emerson John C. Gray, George S Hillard, Henry W. Longfellow, James Russell Lowell, Charles Eliot Norton, John K. Paine, Thomas W. Parsons, Charles C. Perkins, John G.Whittier, Edward W'igglesworth Fine Arts. Boston. Boston. Groton. Brookline. Cambridge. , Concord. Cambridge. Boston. Cambridge. Canibi'idge. Cambridge. Cambridge. Boston. Boston. Amesbury. , Boston. 378 ASSOCIATE FELLOWS. ASSOCIATE FELLOWS. -94. (Number limited to one liundred.) Class L — Mathematical and Physical Sciences. — 36. Sectiox I. — 7. Mathematics. Charles Avery, Clinton, N.Y. Alexis Caswell, Providence, R.I. Charles Davies, New York. Simon Newcomb, Washington, D. C. H. A. Newton, New Haven, Conn. James E. Oliver, Ithaca, N.Y. Truman H. Safford, Chicago, HI. Section II. — 12. Practical Astronomy and Geodesy. S. Alexander, Princeton, N.J. W.H.C.Bartlett, West Point, N.Y. J. H. C. Coffin, Washington, D.C. Chas. H. Davis, Wm. H. Emory, J. E. Hilgard, George AV. Hill, Elias Loomis, Washington, D.C. Washington, D.C. Washington, D C. Nyack, N.Y. New Haven, Conn. Maria Mitchell, Poughkeepsie, N. Y. C. H. F. Peters, CHnton, N.Y. Charles "\^'ilkes , Wasliington , D . C . Chas. A. Young, Hanover, N.H. Section HI. — 12. Physics and Chemistry. F. A. P. Barnard, New York. John W. Draper, New York. Joseph Henry, Washington, D.C. S. W. Johnson, New Haven, Conn. John Le Conte, San Francisco, Cal. A. M. Mayer, Hoboken, N. J. W. A. Norton, New Haven, Conn. Ogden N. Rood, New York. H. A. Rowland, Baltimore. L.M. Rutherfurd, New York. Benj. Silliman, New Haven, Conn. J. L. Smith, Louisville, Ky. Section IV. — 5. Technology and Engineering. R. Delafield, Washington, D.C. A. A. Humphreys , Washington , D . C . Wm. Sellers, Philadelphia. George Talcott, Albany, N.Y. W.P.Trowbridge, NewHaven, Conn. Class 11. — Natural and Physiological Sciences. — 30. Section I. — 14. Geology, Mineralogy, and Physics of the Globe. George J. Brush, New Haven, Conn. James D. Dana, New Haven, Conn. J. W. Dawson, INI ontreal, Canada. Edward Desor, Neufchatel, Switz. J. C. Fremont, New York. F. A. Genth, Arnold Guyot, James HaU, F. S. Holmes, Joseph LeConte, J. Peter Lesley, Fred. B. Meek, Wm. T. Roepper, Geo. C. Swallow, Philadelphia. Princeton, N.J. Albany, N.Y. Charleston, S.C. San Francisco. Philadel2:)hia. Washington, D. C. Bethlehem, Pa. Columbia, Mo. ASSOCIATE FELLOWS. 379 Section II. — 4. Botany. A. W. Chapman, Apalachicola, Fla. G. Engelmann, St. Louis, Mo. Leo Le.squereux, Columbus, Ohio. S. T. Oluey, Pi'ovidence, R.I. Sectiox III. — 9. Zoology and Physiology. S. F. Baird, Washington, D.C. C. E. Brown- Sequard, New York. J. C. Dalton, New York. J. P. Kirtland, Cleveland, Ohio. J. L. LeConte, Philadelphia. Joseph Leidy, Philadelphia. O. C. Marsh, New Haven, Conn. S.Weir Mitchell, Philadelphia. St. John Ravenel, Charleston, S.C. Section IV. — 3. Medicine and Surgery. W. A. Hammond, New York. Isaac Hays, Philadelphia. George B. Wood, Philadelphia. Class IIL — Moral and Political Sciences. — 28. Section I. — 6. Philosophy and Jurisprudence. D. R. Goodwin, Philadelphia. R. G. Hazard, James McCosh, Noah Porter, Isaac Ray, Peacedale, R.I. Princeton. New Haven , Conn. Philadelphia. Jeremiah Smith, Dover, N.H. Section II. — 11. Philology and Archaeology. A. N. Arnold, D. C. Oilman, S. S. Haldeman, A. C. Kendrick, Geo. P. Marsh, L. H. Morgan, A. S. Packard, E. E. SaUsbury, Hamilton, N.Y. Baltimore. Columbia, Pa. Rochester, N.Y. Rome. Rochester, N.Y. Brunswick, Me. New Haven, Conn. A. D. White, Ithaca, N.Y. W. D. Whitney, New Haven, Conn. T. D. Woolsey, New Haven, Conn. Section III. — 7. Political Economy and History. S. G. Arnold, Newport, R.I. Geo. Bancroft, Washington. S. G. Brown, Clinton, N.Y. Henry C. Carey, Philadelphia. Henry C. Lea, Philadelphia. Barnas Sears, Scranton, Va. J. H. Trumbull, Hartford. Section IV. — 4. Literature and the Fine Aris. James B. Angell, Ann Arbor, Mich. Wm. C. Bryant, New York. F. E. Church, New York. Wm. W. Story, Rome. 380 rOP.EIGN HONOEAEY MEilBERS. FOREIGN HONORARY MEMBERS. — 66. (Appointed as vacancies occur.) Class I. — Mathematical and Physical Sciences. — 25. Section I. — 8. Mathematics. Physics and Chemistry. John C. Adams, Cambridge. Bunsen, Heidelberg. Sir George B. Airy, Greenwich. Chevreul, Paris. Brioschi, Milan. Dumas, Paris. Arthur Cayley, London. Helmholtz, Berlin. Chasles, Paris. Kirehhoff, Berlin. Le Verrier, Paris. J. C. Maxwell, Cambridge. Liouville, Paris. J. C. Poggendorff, Bei-lin. J. J. Sylvester, Woolwich. Regnault, Paris. Balfour Stewart, Manchester Sectiox II — 4. G. G. Stokes, Wcihler, Cambridge. Gottingeu. Practical Astronomy and Geodesy. Dollen, Pulkowa. H. A. E. A. Faye, Paris. Peters, Altona. Otto Struve, Pulkowa. Section III. — 11. Section IV. — 2. Technology and Engineering. Clausius, Bonn. Sir Wm. Thomson, Glasgow. Class XL — Natural and Physiological Sciences. — 25, Section I. — 8. Geology, Mineralogy, and Physics of the Globe. Barrande, Charles Darwin, Dove, James Prescott Joule , W. H. Miller, Ranmielsberg, A. C. Ramsay, Sir Edward Sabine, Prague. London. Berlin. Manchester. Cambridge. Berlin. London. London. Section II. — 7. Botany. George Bentham, London. Alexander Braun, Berlin. Decaisne, Paris. Ali)honsede Candolle, Geneva. Elias Fries, Upsal. Hofnieister, Tubingen. Joseph Daltou Hooker, London. FOREIGN HOIsrOEAEY MEMBERS. 381 Section 111.-8. C. Th. Von Siebold, Munich Zoology and Physiology. Valentin, Berne. Von Baer, St Petersburg. T. L. W. Bischoff, Munich. Section IV. — 2. Milne-Edwards, Ehrenberg, Paris. Berlin. Medicine and Surgery. Albrecht Kolliker, AViirzburg. Rokitansky, Vienna. Richai'd Owen, London. Virchow, Berlin. Class III. — Moral and Political Sciences. — 16. Section I. — 4. Philosophy and Jurisprudence. T. C. Bluntschli, Heidelberg. Suumer Maine, London. James Martineau, London. Sclopis di Salerano, Turin. Charles Merivale, Oxford Mommsen, Berlin. Section II. — 6. Von Ranke, Berlin. ilology and Archceology. Thiers, Paris. Pascual de Gayangos, Madrid. Benjamin Jowett, Oxford. Christian Lassen, Bonn. Lepsius, Berlin. Max Miiller, F. Ritschl, Oxford. Bonn. Section IIL — 5. Political Economy and History. W. Ewart Gladstone, London. Section IV. — 1. Literature and the Fine Arts. Gerome, Paris. STATUTES AND STANDING VOTES OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES. {Adopted May Za, 1854: amended September 8, 1857, November 12, 1862, May 24, 1864, November 9, 1870, February 11, 1873, and January 26, 1876.) CHAPTER I. OF FELLOWS AND FOREIGN HONORARY MEMBERS 1. The Academy consists of Fellows and Foreign Honorary Members. They are arranged in three classes, according to the Arts and Sciences in which they are severally proficient, viz. : Class I. The Mathematical and Physical Sciences ; Class II. The Natural and Physiological Sciences ; Class III. The Moral and Political Sciences. Each Class is divided into four Sections, viz, : Class I. Section 1. Mathematics ; Section 2. Practical Astronomy and Geodesy ; Section 3. Physics and Chemistry ; Section 4. Technology and Engi- neering. Class II. Section 1. Geology, Mineralogy, and Physics of the Globe ; Section 2. Botany ; Section 3. Zoology and Physiology; Section 4. Medicine and Surgery. Class III. Section 1. Philosopliy and Jurisprudence ; Section 2. Philol- ogy and ArchaBology ; Section 3. Political Econom}^ and History ; Section 4. Literature and the Fine Arts. 384 STATUTES OF THE 2. Fellows resident in the State of Massachusetts can alone vote at the meetings of the Academy.* They shall each pay to the Treasurer tlie sum of ten dollars on admission, and an annual assessment of ten dollars, with such additional sum, not exceeding five dollars, as the Academy shall, by a stand- ing vote, from time to time determine. 3. Fellows residing out of the State of Massachusetts shall be known and distinguished as Associate Fellows. They shall not be liable to the payment of any fees or annual dues, but, on removing within the State, shall be admitted to the privileges,! and be subject to the obligations, of Resident Fellows. The number of Associate Fellows shall not exceed one hundred^ of whom there shall not be more than forty in either of the three classes of the Academy. 4. The number of Foreign Honorary Members shall not exceed seve7ity-jive ; and they shall be chosen from among persons most eminent in foreign countries for their discoveries and attainments in either of the three departments of knowl- edge above enumerated. And there shall not be more than thirty Foreign Members in either of these departments. CHAPTER H. OF OFFICERS. 1. There shall be a President, a Vice-President, a Corre- sponding Secretary, a Recording Secretary, a Treasurer, and a Librarian, which officers shall be annually elected, by writ- ten votes, at the Annual Meeting, on the day next preceding the last Wednesday in May. 2. At the same time and in the same manner, nine Coun- cillors shall be elected, three from each Class of the Academy, but the same Fellows shall not be eligible for more than three * The number of Resident Fellows is limited by the Charter to 200. t Associate Fellows may attend but cannot vote at meetings of the Academy. See Chapter I. 2. AlVEERTCAN ACADEMY OF ARTS AND SCIENCES. 385 successive years. These nine Councillors, with the President, Vice-President, the Treasurer, and the two Secretaries, shall constitute the Council. It shall l)e the duty of this Council to exercise a discreet supervision over all nominations and elections. With the consent of the Fellow interested, they shall have power to make transfers between the several sec- tions of the same Class, reporting their action to the Acad- emy. 3. If any office shall become vacant during the year, the vacancy shall be filled by a new election, and at the next stated meeting. CHAPTER III. OF THE PRESIDENT. 1. It shall be the duty of the President, and, in his absence, of the Vice-President or next officer in order, as above enu- merated, to preside at the meetings of the Academy ; to sum- mon extraordinary meetings, upon any urgent occasion ; and to execute or see to the execution of the Statutes of the Academy. 2. The President, or, in his absence, the next officer as above enumerated, is empowered to draw upon the Treasurer for such sums of money as the Academy shall direct. Bills presented on account of the Library, or the publications of the Academy, must be previously approved by the respective committees on these departments. 3. The President, or, in his absence, the next officer as above enumerated, shall nominate memUers to serve on the different committees of the Academy which are not chosen by ballot. 4. Any deed or writing, to which the common seal is to be affixed, shall be signed and sealed by the President, when thereto authorized by the Academy. VOL. XI. (n. s. in.) 25 386 STATUTES OF THE CHAPTER IV. OF STANDING COMMITTEES. 1. At the Annual Meeting there shall be chosen the fol- lowing Standing Committees, to serve for the year ensuing, viz. : — 2. The Committee of Finance, to consist of the President, Treasurer, and one Fellow chosen by ballot, who shall have charge of the investment and management of the funds and trusts of the Academy. The general appropriations for the expenditures of the Academy shall be moved by this Com- mittee at the Annual Meeting, and all special appropriations from the general and publication funds shall be referred to or proposed by this Committee. 3. The Rumford Committee, of seven Fellows, to be chosen by ballot, who shall consider and report on all applications and claims for the Rumford Premium, also on all appropria- tions from the income of the Rumford Fund, and generally see to the due and proper execution of this trust. 4. The Committee of Publication, of three Fellows, to whom all Memoirs submitted to the Academy shall be re- ferred, and to whom the printing of Memoirs accepted for publication shall be intrusted. 5. The Committee on the Library, of three Fellows, who shall examine the Library, and make an annual report on its condition and management. 6. An Auditing Committee, of two Fellows, for auditing the accounts of the Treasurer. CHAPTER V. OF THE SECRETARIES. 1. The Corresponding Secretary shall conduct the corre- spondence of the Academy, recording or making an entry of AMERICAN ACADEMY OF ARTS AND SCIENCES. 387 all letters written in its name, and preserving on file all let- ters which are received ; and at each meeting he shall present the letters which have been addressed to the Academy since the last meeting. With the advice and consent of the Presi- dent, he may effect exchanges with other scientific associa- tions, and also distribute copies of the publications of the Academy among the Associate Fellows and Foreign Honorary Members, as shall be deemed expedient ; making a report of his proceedings at the Annual Meeting. Under the direction of the Council for Nomination, he shall keep a list of the Fellows, Associate Fellows, and Foreign Honorary Members, arranged in their Classes and in Sections in respect to the special sciences in which they are severally proficient ; and he shall act as secretary to the Council. 2. The Recording Secretary shall have charge of the Char- ter and Statute-book, journals, and all literary papers belong- ing to the Academy. He shall record the proceedings of the Academy at its meetings ; and, after each meeting is duly opened, he shall read the record of the preceding meeting. He shall notify the meetings of the Academy, and apprise committees of their appointment. He shall post up in the Hall a list of the persons nominated for election into the Academ}^; and, when any individual is chosen, he shall in- sert in the record the names of the Fellows by whom he was nominated. 3. The two Secretaries, with the Chairman of the Com- mittee of Publication, shall have authority to publish such of the proceedings of the Academy as may seem to them calcu- lated to promote the interests of science. CHAPTER VI. OF THE TREASURER. 1. The Treasurer shall give such security for the trust reposed in him as the Academy shall require. 2. He shall receive officially all moneys due or payable, 388 STATUTES OF THE and all bequests or donations made to the Academ}^ and by order of the President or presiding officer shall pay such sums as the Academy may direct. He shall keep an account of all receipts and expenditures ; shall submit his accounts to the Auditing Committee ; and shall report the same at the exjiiration of his term of office. 3. The Treasurer shall keep a separate account of the income and apjiropriation of the Rumford Fund, and report the same annually. 4. All monej's which there shall not be present occasion to expend shall be invested by the Treasurer, under the direc- tion of the Finance Committee, on such securities as the Academy shall direct. CHAPTER Vn. OF THE LIBRARIAN AND LIBRARY. 1. It shall be the duty of the Librarian to take charge of the books, to keep a correct catalogue of the same, and to provide for the delivery of books from the Library. He shall also have the custody of the publications of the Academy. 2. The Librarian, in conjunction with the Committee on the Library, shall have authority to expend, as they may deem expedient, such sums as may be appropriated, either from the Rumford or the General Fund of the Academy, for the pur- chase of books and for defraying other necessary expenses connected with the Library. They shall have authority to propose rules and regulations concerning the circulation, re- turn, and safe-keeping of books ; and to appoint such agents for these purposes as they may think necessary. 3. To all books in the Library procured from the income of the Rumford Fund, the Librarian shall cause a stamp or label to be affixed, expressing the fact that they were so procured. 4. Every person who takes a book from the Library shall give a receipt for the same to the Librarian or his assistant. 5. Every book shall be returned in good order, regard AMERICAN ACADEarS" OF ARTS AND SCIENCES. 389 being had to the necessary wear of the book with good usage. And if any book shall be lost or injured, the person to whom it stands charged shall replace it by a new volume or set, if it belong to a set, or pay the current price of the volume or set to the Librarian ; and thereupon the remainder of the set, if the volume belonged to a set, shall be delivered to the person so paying for the same. 6. All books shall be returned to the Library for examina- tion, at least one week before the Annual Meeting. CHAPTER Vm. OF MEETING^S. 1. There shall be annually four stated meetings of the Academy ; namely, on the day next preceding the last Wednesday in May (the Annual Meeting), on the second Wednesday in October, on the second Wednesday in Janu- ary, and on the second Wednesday in March ; to be held in the Hall of the Academy, in Boston. At these meetings only, or at meetings adjourned from these and regularly noti- fied, shall appropriations of money be made, or alterations of the statutes or standing votes of the Academy be effected. 2. Fifteen Fellows shall constitute a quorum for the trans- action of business at a stated meeting. Seven Fellows shall be sufficient to constitute a meeting for scientific communica- tions and discussions. 3. The Recording Secretary shall notify the meetings of the Academy to each Fellow residing in Boston and the vicinity ; and he may cause the meetings to be advertised, whenever he deems such further notice to be needful. 390 STATUTES OF THE CHAPTER IX. OF THE ELECTION OF FELLOWS AND HONORARY MEMBERS. 1. Elections shall be made by ballot, and only at stated meetings. 2. Candidates for election as Resident Fellows must be pro- posed by two or more Resident Fellows in a recommendation signed by them specifying the section to which the nomina- tion is made, which recommendation shall be transmitted to the Corresponding Secretary, and by him referred to the Council for nomination. No person recommended shall be reported by the Council as a candidate for election, unless he shall have received a written approval, signed at a meet- ing of the Council by at least eight of its memljers. All nominations thus approved shall be read to the Academy at a stated meeting, and shall then stand on the nomination list during the interval between two stated meetings, and until the balloting. No person shall be elected a Resident Fellow, unless he shall have been resident in this Com- monwealth one year next preceding his election ; and any Resident Fellow, who shall remove his domicile from the Commonwealth, shall be deemed to have abandoned his Fel- lowship. If any person elected a Resident Fellow shall neglect for one year to pay his admission fee, his election shall be void ; and, if any Resident Fellow shall neglect to pay his annual assessments for two years, provided that his attention shall have been called to this article, he shall be deemed to have abandoned his Fellowship ; but it shall be in the power of the Treasurer, with the consent of the Coun- cil, to dispense {sub silentio') with the payment both of the admission fee and of the assessments, whenever in any special instance he shall think it advisable so to do. 3. The nomination of Associate Fellows shall take place in the manner prescribed in reference to Resident Fellows ; and after such nomination shall have been publicly read at a stated meeting previous to that when the l)alloting takes AMERICAN ACADEMY OF ARTS AND SCIENCES. 391 place, it shall be referred to a Council for Nomination ; and a written approval, authorized and signed at a meeting of said Council by at least seven of its members, shall be requi- site to entitle the candidate to be balloted for. The Council may in like manner originate nominations of Associate Fel- lows ; which must be read at a stated meeting previous to the election, and be exposed on the nomination list during the interval. 4. Foreign Honorary Members shall be chosen only after a nomination made at a meeting of the Council, signed at the time by at least seven of its members, and read at a stated meeting previous to that on which the balloting takes place. 5. Three-fourths of the ballots cast must be affirmative, and the number of affirmative ballots must amount to eleven, to effect an election of Fellows or Foreign Honorary Mem- bers. 6. Each section of the Academy is empowered to present lists of persons deemed best qualified to fill vacancies occur- ring in the number of Foreign Honorary Members or Associ- ate Fellows allotted to it ; and such lists, after being read at a stated meeting, shall be referred to the Council for Nomi- nation. 7. If, in the opinion of a majority of the entire Council, any Fellow — Resident or Associate — shall have rendered him- self unworthy of a place in the Academy, the Council shall recommend to the Academy the termination of his Fellow- ship ; and, provided that a majority of two-thirds of the Fel- lows at a stated meeting, consisting of not less than fifty Fellows, voting by ballot yea or nay, shall adopt this recom- mendation, his name shall be stricken off the roll of Fellows. CHAPTER X. OF AMENDMENTS OF THE STATUTES. 1. All proposed alterations of the Statutes, or additions to them, shall be referred to a committee, and, on their report at a subsequent meeting, shall require for enactment a majority 392 STATUTES OF THE of two- thirds of the members present, and at least eighteen affirmative votes. 2. Standing Votes may be passed, amended, or rescinded, at any stated meeting, by a majority of two-thirds of the members present. They may be suspended by a unanimous vote. CHAPTER XI. OF LITERARY PERFORMANCES. 1. The Academy will not express its judgment on literary or scientific memoirs or performances submitted to it, or included in its publications. RUMFORD PREMIUM. In conformity with the terms of the gift of Benjamin Count Rumford, granting a certain fund to the American Academy of Arts and Sciences, and with a decree of the Supreme Judicial Court for carrying into effect the general charitable intent and purpose of Count Rumford, as expressed in his letter of gift, the Academy is empowered to make from the income of said fund, as it now exists,. at any annual meeting, an award of a gold and silver medal, being together of the intrinsic value of three hundred dollars, as a premium, to the author of any important discovery or useful improvement in light or in heat, which shall have been made and published by printing, or in any way made known to the public, in any part of the continent of America, or any of the American islands ; pref- erence being always given to such discoveries as shall, in the opinion of the Academy, tend most to promote the good of mankind ; and to add to such medals, as a further premium for such discovery and improvement, if the Academy see fit so to do, a sum of money not exceeding three hundred dollars. AMERICAN ACADEMY OF ARTS AND SCIENCES. 393 STANDING VOTES. 1. Communications of which notice has been given to the Secretary shall take precedence of those not so notified. 2. Resident Fellows who have paid all fees and dues charge- able to thera are entitled to receive one copy of each volume or article printed by the Academy, on application to the Librarian personally or by written order, within two years from the date of publication. And the current issues of the Proceedings shall be supplied, when ready for publication, free of charge to all the Fellows and Members of the Acad- emy who desire to receive them. 3. Tlie Committee of Publication shall fix from time to time the price at which the publications of the Academy may be sold. But members may be supplied at half this price with volumes which they are not entitled to receive free, and which are needed to complete their sets. 4. One hundred extra copies of each paper accepted for the Memoirs of the Academy shall be separately printed, of which fift}^ shall be placed at the disposal of the author, free of charge. 5. Resident Fellows may borrow and have out from the Library six volumes at any one time, and may retain the same for three months, and no longer. 6. Upon special application, and for adequate reasons as- signed, the Librarian may permit a larger number of volumes, not exceeding twelve, to be drawn from the Library, for a limited period. 7. Works published in numbers, when unbound, shall not be taken from the Hall of the Academy, except by special leave of the Librarian. 8. Books, publications, or apparatus shall be procured from the income of the Rumford Fund only on the certificate of the Rumford Committee, that they, in their opinion, will best facilitate and encourage the making of discoveries and im- provements which may merit the Rumford Premium. 394 AMERICAN ACADEMY OF ARTS AND SCIENCES. 9. The annual meeting shall be holden at half-past three o'clock, P.M. The other stated meetings, at half-past seven o'clock, P.M. 10. A meeting for receiving and discussing scientific com- munications shall be held on the second Wednesday of each month, not appointed for stated meetings, excepting July, August, and September. INDEX TO YOL. III. Abutilon N'ewberryi, 125. Adolphia Califoniica, 126. infesta, 126. Alchemilla occidentalis, 114. Alsia Califoniica, 121. Amblyopappus pusillus, 116. Amsiuckia vernicosa, 118. Anagallis arvensis, 117. Anemone alpina, 121. occidentalis, 121. Angelica tonientosa, 141. Antirrhinum Nuttallianum, 117. speciosmn, 117. Aplopapi>us Palmeri, 74. Appropriations, 313. Ai'abis Breweri, 123. Drummondii, 122. Lyallii, 122. repanda, 122. Aralia Californica, 144. Ai-chemora, 145. Fendleri, 145. Arctostaiihylos Andersonii, 83. Arenaria brevifolia, 72. Armatures, Distribution of Mag- netism on, 293. Artemisia Californica, 116. Palmeri, 79. Asagrffia spinosa, 132. Aspidium munitum, 120. Aster Coloradoensis, 76. Astronomical Instruments, Port- able, and their Use, 157. Asti'onomical Observations, Sources of Error in, 195. Atriplex Endolepis, 102. Palmeri, 119, 146. Suckleyana, 103. Avena fatua, 120. B. Bjeria Palmeri, 116. Bahia lanata, 116. Barbula atrovirens, 121. rigida, 121. ruralis, 121. vinealis, 121. Bigelovia Engelmanni, 75. Greenei, 75. spathulata, 74. Biographical Notices: — Gabriel Andral, 363. Horace Binney, 351. Marchese Gino Capponi, 365. John Henry Clifford, 333. Horatio Balch Hackett, 334. Sir William Edmond Logan, 357. Joel Parker, 336. Charles-Francois- IVIarie, Comte de Kemusat, 370. William Sweetser, 362. Sir Charles AVheatstone, 372. Joseph Winlock, 339. Chauncey Wright, 350. Botanical Contributions, 71, 105. Brahea armata, 146. edulis, 120, 146. filamentosa, 147. Brassica nigra, 113. Brickellia microphylla, 74. Bromus sterilis, 120. c. Calamintha Palmeri, 100, 117. Calandrinia Breweri, 124. Menziesii, 113, 124. Calystegia subacaulis, 90. viliosa, 90. 396 INDEX. Campanula biflora, 82. Coloradoeusis, 82. flagellaris, 83. intermedia, 83. leptocarpa, 82. Liidoviciana, 83. Montevidensis, 83. Campylocera leptocarpa, 82. Cardamine Gambelii, 147. Cassia armata, 136. Castilleia foliolosa, 117. Ceanothas crassifolius, 114. cmieatus, 114. Ceratocarpus, 103. Ceratodon purpureus, 121. Cercidium floridiim, 135. Texanum, 136. Chamfesaracha, 90. Coronopus, 90. nana, 90. sordida, 90. Chapmannia, 103. Chenopodium album, 119. Cicuta Bolanderi, 139. Claytonia perfoliata, 113. Cleomella oocarpa, 72. plocaspenna, 72. Clouds, Height and Velocity of, 263. Cobalt, Hexatomic Compounds of, 1. Cobaltaniines, Formation and Prep- aration of, 37. Theoretical Views, 44. CoUinsia, 91. barbata, 92. bartsiajfolia, 92. bicolor, 92. corymbosa, 92. grandiflora, 93, 94. Greenei, 92. heterophylla, 92. hirsuta, 92. minima, 93. parviflora, 93. septemnervia, 92. solitaria, 93. sparsiflora, 93. tenella, 93. tinctoria, 92. Torreyi, 93. verna, 93. violacea, 93. Collomia gilioides, 118. Committees, 314, 315, 323. Communications from Messrs. A. Agassiz, 231. R. Amory, 70, 279, 316, 332. Communications from Messrs. A. G. Bell, 331. H. P. Bowditch, 281, 331. C. H. Davis, 185. J. P. Cooke, Jr., 316, 329. W. Everett, 329. W. Gibbs, 1, 316, 322. A. Gray. 71, 322. H. B. Hill, 323. C. L. Jackson, 331. W. W. Jacques, 205, 269, 331. B. Peirce, 316, 317. 324, 331. B. O. Peirce, Jr., 218, 324. E. C. Pickering, 256, 263, 273, 316, 322. G. S. Pine, 303, 332. W. A. Rogers, 237, 317, 321, 322, 331. II. A. Rowland, 191, 317. T. H. Safford, 52, 157, 193, 210, 316, 317, 324, 331. S. H. Scudder, 324. S. P. Sharpies, 149, 322. L. Trouvelot, 62, 174, 317, 322. J. Trowbridge, 202, 322, 323, 324. S. Watson, 105, 317, 321. W. Watson, 316, 322, 323, 324, 329. 11. Whiting, 293, 332. W. P. Wilson, 228, 283. Condensers and Geissler's Tubes, 228. Conioselinum Fischeri, 140. Convolvulus CiTlifornicus, 90. luteolus, 90. occidentalis, 89, 118. villosus, 90. Cornus Torreyi, 145. Cucurbita Calif ornica, 138. palmata, 137. Cupressus macrocarpa, 119. Cuscuta Californica, 90. salina, 90. subinclusa, 90. Cymopterus glcbosus, 141. montanus, 141. Cypripedium occidentale, 147. parviflorum, 147. passerinum, 147. D. Dalea, 132. Californica, 132. Daucus pusillus, 115. INDEX. 397 Diamorpha pusilla, 71. Dicoria Brandet^ei, 76. Diffraction of Sound, 269. Diplacus glutinosus, 97. longiflorus, 97. Diplostephium canum, 75, 115. Distances, Measurement of, 257. Dodecatheon Meadia, 117. Draper, John W. , Award of Rum- ford Medal to, 8U, 325. Dysmicodon Californicum, 83. ovatum, 83. perfoliatum, 83. E. Echidiocarya, 89. Arizonica, 89. Echini, Viviparous, from Kerguelen Island, 231. Echinocystis fabacea, 138. muricata, 139. Electrical Resistance in Wires, Change of, by Stretching, 303. Electro-Magnets, on Thin Plates of Iron used as Armatures, 202. Ellisia chrysanthemifolia, 118. Emmenanthe penduliflora, 118. pusilla, 87. Encelia viscida, 78. Epilobium minutum, 115. Eriogonum chrysocephalum, 101. Kingii, 101. Eritrichium angustifolium, 118. muriculatum, 118. Erodium cicutarium, 108, 113. moschatum, 109, 111. Eschscholtzia Californica, 112, 122. minutiflora, 122. Etheric Force, on the so-called, 206. Eunanus bicolor, 96. Bigelovii, 96. Coulteri, 95. Douglasii, 95. Fremonti, 96, 97. Tolmipei, 96. Eurotia, 103. Euryptera lucida, 142. Expert Evidence, Committee on, 323. F. Fellows, Associate, List of, 378. Fellows deceased : — John Henry Clifford, 333. Horatio B. Hackett, 333. Joel Parker, 333. Joseph Winlock, 316. Chauncey Wright, 316. Fellows elected : — Henry Adams, 318, 324. Albert Nicholas Arnold, 317, 321. Thomas Dwight, Jr., 323. Robert Tha'xter Edes, 318, 323. Frederick A. Genth, 317, 321. Daniel C. Gilman, 317, 323. Edwin Lawrence Godkin, 323, 324. Charles Edward Hamlin, 323, 330. Joseph LeConte, 317, 323. Othniel Charles Marsh, 317, 330. Alfred M. Mayer, 317, 321. Hiram F. Mills, 318, ,321. Ira Remsen, 318, 323. Henry A. Rowland, 330. William Sellers, 317. John Langdou Sibley, 330, 331. Fellows, List of, 375. Ferula Newberryi, 145. Festuca microstachys, 120. Filago Arizonica, 115. Flora of Gviadalupe Island, 105, 112. Foreign Honorary Members de- ceased : — Gabriel Andral, 333. Gino Capponi, 333. De Macedo, 333. Eyries, 333. Charles de Remusat, 316. Duke di Serradifalco, 333. Sir Charles Wheatstone, 333. Foreign Honorary Members elect- ed:— Andrew Crombie Ramsay, 317, 324. Conte Federigo Sclopis di Sa- lerano, 323, 324. Balfour Stewart, 330. Foreign Honorary Members, List of, 380. Fossombronia Californica, 121. longiseta, 121. Fossoml)ronia Palmeri, 121. Frankenia Palmeri, 124. 398 INDEX. Franseria bipinnatifida, 115. ilicifolia, 77. G. Galium angiilosum, 7i, 115. Aparine, 115. Galvanometer, Mirror, New Form of, 208. Geissler's Tubes, Condensers and, 228. Gentiana calycosa, 84. Newberryi, 84. setigera, 81. Geograpliical Congress, Interna- tional, 313, 318. Gilia Brandegei, 85. Haydeni, 85. Larseni, 81. multicaulis, 118. pusilla, 118. Githopsis specularioides, 116. Glossopetalon Nevadense, 73. spinescens, 73. Gnaphaliuni Sprengelii, 116. Grayia, 103. Brandegei, 101. Grimmia pulvinata, 121. triohophylla, 121. Guadalupe Island, Flora of, 105, 112. Gymnogramme triangularis, 120. H. Ilalenia Botlirockii, 84. Harpagonella, 88. Palmeri, 88, 118. Hedeoma livssopifolia, 96. Height of Clouds, 263. Heights, Determination of, 258. Helianthus gracilentus, 77. Hemizonia floribunda, 79. frutescens, 79, 115. Herpestis pilosa, 99. Hesperelsea, 83. Palmeri, 83, 118. Hesperocnide tenella, 119. i Hexatomic Compounds of Cobalt, 1. ; Hoi'kelia purpurascens, 148. trideutata, 148. Ilosackia argophylla, 114. grandiflora, 114. Ilydrographic Sketch of Lake Titi- caca, 283. Hypnum myosuroides, 121. I. Inductive Apparatus, New Form of, 281. Ipomsea sagittsefolia, 90. Iva Hayesiana. 78. J. Juncus bufonius, 120. Juniperus Californica, 119. K. Kerguelen Island, on Viviparous Echini from, 221. L. Lachnostoma hastulatum, 87. Lake Titicaca, Ilydrographic Sketch of, 283. Lathyrus, Revision of, 133. Engelmanni, 133. Lanszwertii, 134. linearis, 134. littoralis, 134. maritimus, 133. Nevadensis, 133, 134. ochroleucus, 133. paluster, 134. polymorphus, 134, 135. poljqihyllus, 133, 134. pusillus, 133. sulphureus, 133. Torrevi, 134. venosus, 133, 134, 135, vestitus, 134. Latitudes, on Determination of, 160. Latitude Observations, on Reduc- tion of, 167. Lavatera occidentalis, 113, 125. Least Squares, on the Method of, 193. Lepidium lasiocarpum. 113. Menziesii, 113. Leptosyne gigantea, 115. Ligusticum apiifolium, 140. filicinum, 140. scopulorum, 140. Linaria Canadensis, 117. Lceselia, 86. INDEX. 399 Loeselia effusa, 86. teuuifolia, 86. Lupiuus Grayi, 126. niveus, 114, 126. onustus, 127. Luteocobalt, 27. List of Salts of, 36. Amruouio-cobalt-nitrite, 34. Chloro-platino-chromate, 28. Dichromate, 30. Hyperbromides, 37. Hyperiodides, 37. Metameric Salts, 31. Oxalo-auro-cliloride, 28. Pyrophosphate, 29. Sulphate of Thallium and, 30. Lyrocarpa Palineri, 123. Lyciuni Californicum, 117. M. Madotheca navicularis, 121. Magnetic Distribution, Notes on, 191. Magnetism, Distribution of, on Ar- matures, 293. Malacothrix Clevelandii, 116. Malva borealis, 113. INIalvastrum Coulteri, 12.5. Marah muricatus, 138. Matricaria discoidea, 116. Megarrhiza, Revision of, 138. Californica, 138. Guadalupensis, 115, 138. Marah, 138. muricata, 139. Oregona, 138. Melica imperfecta, 120. Members, Foreign Honorary. See Foreign Honorary Members. Mentzelia albicaulis, 137. dispersa, 115, 137. micrantha, 137. Metric System, Action upon, 323, 331. Microcala quadi-angularis, 84. Micrometer-Level, 200. Micropus Californicus, 115. Microseris linearifolia, 116. ]Milk, on Specimens of, 149. Mimulus, Revision of, 94. alatus, 98. alsinoides, 98. bicolor, 99. Bigelovii, 96. Mimulus Bolanderi, 97. brevipes, 97. cardinalis, 98. cupreus, 98. dentatus, 98. Douglasii, 95. floribundus, 99. Fremonti, 96. glutinosus, 97. inconspicuus, 99. Jamesii, 98. laciniatus, 98. latifolius, 95, 117. leptaleus, 96. Lewisii, 98. luteus, 98. microphyllus, 98. montioides, 99. moschatus, 99. nanus, 96. Parryi, 97. pilosus, 99. Prattenii, 99. primuloides, 99. Pulsifera;, 98. ringens, 98. rubellus, 99. tenellus, 98. Tilingii, 98. Torreyi, 97. tricolor, 95. Mirabilis Californica, 118. Mirroi' Galvanometer, New Form of, 208. Monardella, Revision of, 100. Breweri, 102. candicans, 102. Douglasii, 102. lanceolata, 102. leucocephala, 102. linoides, 102. macrantha, 100. nana, 101. odoratissima, 101. undulata, 102. villosa, 101. Mountain Surveying, 256. Muhlenbergia debilis, 120. N. Neillia Torreyi, 136. Nemophila aurita, 118. Nicotiana Bigelovii, 117. Nobert's Test Plates, Explanation of Method of Ruling, 237. Notholaina Newberryi, 121. 400 INDEX. o. Obione Suckleyana, 103. (Enanthe Californica, 139. sarmentosa, 110. Oenothera Guadalupensis, 115, 137. Officers elected, 3U, 321. Oligoraeris subulata, 109, 113. Orthotrichum Lyellii, 121. Palmer, Edward, Collection of Plants, 112. Palmerella, 80. debilis, 80. Parietaria debilis, 119. Parkinsonia, 135. florida, 135. microphylla, 136. Texana, 136. Torreyana, 135. Pectocarya penicillata, 118. Pellsea ornithopus, 120. Pentstemon barbatus, 94. Clevelandi, 91. Perityle Emoryi, 116. incana, 78, 116. Petalostenion teniiifolius, 73. Peucedanum, Revision of, 111. abrotanifolium, 112. ambiguum, 112. bicolor. 111. carnifolium, 113. dasycarpuni, 115. Eiiryi^tera, 112. farinosum, 112. foeniculaceum, 113. graveolens, 112. Hallii, 111, 113. Ifevigatum, 112. latifolium, 112. leiocarpum. 111. leptocarpum, 112. macrocarpum, 113, 114. marginatum, 113. millefolium, 113. Nevadense, 113. Newberryi, 115. niidicaule, 113, 144. Nuttallii, 112. Parryi, 143, 144. parvifolium, 112. simplex, 112. tenuissimum, 112. tomentosum, 115. Peucedanum triternatum, 112, utriculatum, 113. villosum, 111. Phacelia phyllomanica, 87, 118. Phoradendron Bolleanum, 119. Photographs of the Solar Spectrum, "70, 279. Pinus insignis, 119. Plantago Patagonica, 116. Pogogyne tenuiflora, 100, 117. Polygala acanthoclada, 73. Polypodium Californicmn, 120. Scouleri, 120. Potentilla Wheeleri, 118. Procyon, Companions of, 185. Proper Motion of the Stars, 52, 210. Pterostegia drymarioides, 119. Purpureocobalt, List of Salts of, 11. Ammonio-cobalt-nitrite, 7. Chloro-fluosilicate, 9. Chloro-nitrate, 3. Cobalto-nitrite, 8. Neutral Sulphate, 5. Nitrates, 1. Oxalo-chloride, 4. Pyrophosphate, 6. Tungstate, 4. Pyrrhopappus Rothrockii, 80. Q. Quercus chrysolepis, 119. R. Ranunculus hebecarpus, 112. Reports, 313, 318, 321, 322, 331. Rhamnus crocea. 111. Rhus laurina. 111. Ribes sanguineum. 111. Roseocobalt, List of Salts_of, 21. Acid Oxalo-sulphate,' 21. Acid Sulphate, 11. Basic Oxalo-sulphate, 21 Chloro-aurate, 19. Chloro-hydrargyrate, 20. Chlorplatinate, 16. lodo-sulphate^ 13. Sulphates, 12. Sulphato-chloro-aurate, 19. Sulphato-chlorplatinate, 18. Yellow Sulphate, 11. Riding Test Plates, Explanation of Nobert's Method, 237. INDEX. 401 Rumford Committee, Appropria- ! tions, 313, 314. Medal, Award of, 314, 325. Monument at Paris, 320. Rumford's Works, 313, 314, 318, 330. S. Sanicula Menziesii, 115. Nevadensis, 139. Saracha acutifolia, 90. Saturn, on Some Physical Observa- tions of, 174. Scutellaria nana, 100. Sedum pusillum, 71. variegatum, 137. Selinum Paciflcum, 140. Senecio Palmeri, 80, 116. Silene antirrhina, 113. Gallica, 113. Sisymbrium canescens, 113. deflexuni, 113. reflexum, 113. Smelowskia Fremontii, 123. Solan um Calif ornicum, 91. nigrum, 117. umbelliferum, 91. Xanti, 90, 117. Solar Motion in Space and the Stellar Distances, 52, 210. Spectrum, Photographs of, 70, 279. Spots, Veiled, 62. Sonchus oleraceus, 116. Sophora Arizonica, 135. speciosa, 135. Sound, Diffraction of, 269. Proof of Law of Inverse Squares, 265. Sparks, Induction, from breaking the Circuit between the Poles of a Magnet, 218. Spectra,' Comparison of Prismatic and Dilfraction, 273. Spectrum, Solar, Photographs of, 70, 279. Specularia, Revision of, 81. biflora, 82, 116. leptocarpa, 82. Lindheimeri, 82. Linsecomia, 82. ovata, 83. perfoliata, 83. Sphseralcea incana, 125. sulphurea, 113, 125. VOL. XI. (n. s. 111.) 26 Spiraea Californica, 148. monogyna, 136. opulifolia, 136. Statutes and Standing Votes, 382. Amendments to, 321, 322, 323. Stellar Distances, 52, 210. Stellaria nitens, 113. Stenochloe Californica, 120. Suckleya, 103. petiolaris, 103. Sm-veying, Mountain, 256. T. Test Plates, Nobert's Method of Ruling, 237. Thermopsis Californica, 126. fabacea, 126. macrophylla, 126. montana, 126. Thvsanocarpus erectus, 113, 124. Tiedemannia teretifolia, 145. Tillsea cymosa, 71. minima, 115. Tonella, 92. collinsioides, 93. floribunda, 93. Tribulus Californicus, 125. Trifolium, Revision of, 127. aciculare, 130. altissimum, 128. amabile, 129. amphianthum, 129. amplectens. 114, 131. Andersonii, 127. Andinum, 130. barbigerum, 131. Beckwithii, 128. Bejariense, 130. bifidum, 129. Bolanderi, 128. Brandegei, 128, 130. Breweri, 129, 131. Carolinianuni, 129. ciliatum, 129. ciliolatum, 129. cyathiferum, 131. dasyiihylluni, 130. denudatuin, 129. depauppiiitutn, 131, dichotoiHum, 129. diversifoliuni, 131. eriocephalum, 128. fimbriatum, 130. fucatum, 131. 402 INDEX. Trifolium Gambelii, 131. gracilentnm, 129. gymnocaqjon, 129. Haydeni, 128. heterodon, 130. involucratum, 130. Kingii, 128. Lemmoni, 127. longipes, 128. Macrsei, 129. macrocalyx, 130. megacephalum, 127. melanantlium, 130. microcephalum, 114, 131. microdon, 131. monanthum, 131. iiamim, 128. obtusiflorum, 130. oliganthum, 131. Palmeri, 114, 129, 1-32. Parryi, 130. pauciflorum, 130. platycephalum, 127. plumosum, 128. poly[)hylliim, 130. reflexum, 127. spinvdosum, 130. Trifolium stenophyllum, 131. stoloniferum, 127. subcaulescens, 129. tridentatum, 130. variegatum, 130, 131. Wormskioldii, 130. Triodallus rupestris, 83. Vauquelinia corymbosa, 148. Torreyi, 147. Velocity of Clouds, Determination of, 263. Vicia Americana, 134. exigua, 114. Viviparous Echini from Kerguelen Island, 231. w. Weissia viridula, 121. Wires, Change of Electrical Resist- ance in, by Stretching, 303. Wyethia coriacea, 77. Cambridge: Press of John Wilson & Son. imnmu'L?,?,}?"''''^' Garden Libran 3 5185 00225 6111 m n - 1 • ; r.' ' ^^: i/'M l^i