HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 713 



14237 RIDDELL(Maj.-Gen. Charles James Buchanan, F.R.S.) MAGNETICAL INSTRUCTIONS for 

 the USE of PORTABLE INSTRUMENTS, adapted for Magnetical Surveys and Portable Observatories, 

 etc., with Forms for the Registry of MAGNETICAL and METEOROLOGICAL OBSERVATIONS, illus- 

 trated, 8vo. sewn, 3s 6d 1844 



14238 RIDDLE (Edward ; F.R.A.S., Nautical School, Greenwich Hospital) TREATISE on NAVI- 

 GATION, and NAUTICAL ASTRONOMY, adapted to Practice and Elementary Instruction, etc., with 

 the Method of keeping a SEA JOURNAL ; concise and simple RULES, with their Investigations, 

 for FINDING the LATITUDE and LONGITUDE, etc., and with all the TABLES requisite in Nautical 

 Computations, first edition, with diagrams, 8vo. calf (joints cracked, and title stamped), 6s 1824 



14<239 FOURTH EDITION, with the Rules and Examples adapted to the Nautical Almanac in 



its new and improved Form, ivith diagrams, 8vo. sheep, with Greenwich Hospital stamp (binding 

 slightly damaged), bs 1842 



' His most valuable work, forming a complete course of mathematics for sailors, and combining practice and theory in 

 just proportion ; which was not usually done at that time in books of this class.' D. N. B. 



14240 RIE M( Johannes, Sternwarte Gottingen) Ueber eine FRUHERE ERSCHEINUNG des KOMETEN 

 1881 III TEBBUT, im Anschluss an die chinesischen Annalen ; with plate, 8vo. (pp. 26), sewn, 

 Is Qd Gottingen, 1896 



14241 RIEMANN (Georg- Friedrich Bernhard, Univ. Gottingen) GESAMMELTE MATHEMATISCHE 

 WERKE und wissenschaftlicher Nachlass, herausgegeben, unter Mitwirkung von R. DEDEKIND, 

 von H. WEBER; with illustrations, roy. 8vo. hf. bound, uncut, 8s (p. M. 20) Leipzig, 1876 



' Like all of Riemann's researches, those on functions were profound and far-reaching. He laid the foundation for a 

 general theory of functions of a complex variable. The theory of potential, which up to that time had been used only in 

 mathematical physics, was applied by him to pure mathematics.' Pro/. Cajori. The above contains also his celebrated 

 thesis, Grundlagen fur eine allgemeine Theorie der Functionen einer veriindertichcn complexen Grb'sse, 'which excited the 

 admiration of Gauss to a very unusual degree ', and his famous memoir on the hypotheses on which geometry is founded. 



14242 BEITRAGE zur THEORIE der durch die GAUSS'SCHE REIHE F (a, ft, y, x) DARSTELL- 



BAREN FUNCTIONEN, 4to. (pp. 22), sewn, 2s Qd Gottingen, 1857 



14243 : Die BEWEGUNG eines KREISFORMIGEN RINGES in einer UNENDLICHEN und INCOM- 



PRESSIBELN FLUSSIGKEIT, nach dem Vortrage von B. RIEMANN, bearbeitet von E. GOEDECKER, 

 4to. (pp. 22), sewn, 2s ibidem, 1879 



14244 GRUNDLAGEN fiir eine allgemeine THEORTE der FUNCTIONEN einer VERANDERLICHEN 



COMPLEXEN GROSSE, 2. Abdruck, 4to. (pp. 32), sewn, 3s Qd ib., 1867 



A reprint of the author's inaugural dissertation, ' which gave rise to a new method of treating the theory of functions '. 



14245 Ueber die HYPOTHESEN, welche der GEOMETRIE zu GRUNDE liegen, 4to. (pp. 20), sewn, 



3s Qd ib., 1867 



' His celebrated memoir on the hypotheses on which geometry is founded attracted general attention to the subject of 

 non-Euclidean geometry.' W 7 . W. B. Ball. 



14246 PARTIELLE DIFFERENTIALGLEICHUNGEN und deren Anwendung auf physikalische 



Fragen, bearbeitet und herausgegeben von KARL HATTENDORF ; with 46 diagrams, Svo. hf. calf, 

 3s Braunschweig, 1869 



14247 ZWEITE [VERMEHRTE] AUFLAGE ; with 46 diagrams, Svo. hf. cl., 4s ibidem, 1876 



14248 DRITTE AUFLAGE ; with 46 diagrams, Svo. boards, 5s (p. M. 8 sewn) ib., 1882 



14249 THEORIE der ABEL'SCHEN FUNCTIONEN ; with 4 woodcuts, 4to. (pp. 55), sewn (scarce), 



5s Berlin, 1857 



'In multiple periodic functions it is hardly too much to say that in his memoir [.fHpra] in Borchardt's Journal for 1857, 

 he did for the Abelian functions what Abel had done for the elliptic functions.' JF. W. R. Ball. 



14250 RIESE (Adam) : RECHNUNG auff der LINIEN und FEDERN | auff allerley Handthierung | 

 gemacht durch ADAM RISEN. Auff's newe durchlesen und zu recht gebracht ; printed in gotljic 

 letter ; with curious woodcut portrait cet. 58 (but looking much older) on title, and printer's device 

 at end, 16mo. hf. roan (one 1. (sign. F\) wanting, title mended and soiled, and many II. browned 

 and soiled) ; excessively rare, 2. 15s 



[col. :] gedruckt zu Leipzig \ durch Valentin, am Ende. Typis Hceredum Beyeri, 1605 



A very rare edition, unknown to Graesse and Ebert ; while Brunet does not mention the work at all. Prof, de Morgan 

 seemingly did not know of its existence either, for he mentions no edition in his Arithmetical Books. 



Owing no doubt to constant thumbing, copies of any edition have now become excessively rare, and practically dis- 

 appeared from the market. 



Adam Riese was the Cocker of Germany, ' Nach Adam Riese ' being the exact equivalent of ' according to Cocker.' He 

 uses the symbols + and -, and, accordirg to Ludwig Darmstaedter. first introduced the symbol y f r square root 

 (attributed by Mr. W. W. R. Ball to Rudolff). 



' Er hat zu vereinigen und zweckdienlich zu ordnen gewusst, was vorhanden war. Aus seiner Anordnung konnte der 

 Rechenunterricht die methodischen Vorschriften sich bilden, welche heute als selbstverstandlich gelten. Die Vorschrift 

 des Aufsteigens vom concreten Denken zum abstrakten wird in jcdem Rechenunterrichte heute beachtet ; bei Ri<>se ist 

 das Rechnen mit Reohenpfennigen dem mit Ziffern vorausgeschickt. Die zweite Grundregel ist die des Ubergangs vom 

 Einfacheren zum Zusammengesetzteren, und auch diese war Riese's Rechenbuch zu entnehmen. . . . Michael Stifel 

 nannte seine Aufgabf-n 'holdselig' und entnahm sie ihm fiir sein eigenes Werk. Andere folgten diesem Beispiele. . . ., 

 und so gait hinfort fiir einen Meister der Rechenkunst, wer Adam Riese's Rechnung nach der Liinge vollstlindig durch- 

 - gearbeitet hatte.' Prof. M. Cantor. 



At end is an interesting old inscription : ' Hanss Melchior Diem In Moss dem ist dass Rechen Biichlein lieb verrss Ihm 

 stilt der ist ein Dieb. Er sey gleich Rrither oder Knecht so ist er an den galgen gerecht. Ano Doriiin. 1683.' 



14251 BJESS (Peter Theophil ; Univ. Berlin) Uber die ANORDNUNG der ELEKTRICITAT auf LEITERN ; 

 with folding copperplate, 4to. (pp. 47), sewn, 4s Qd Berlin, 1844 



' Riess found the density at the middle of the edges of a cube to be nearly two and a half times as great as the 

 density at the middle of a face ; while the density at a corner of a cube was more than four times as great.' Prof. Silvanus 

 Thompson, F.R.S. 



14252 liber die ELEKTRISOHEN RINGFIGUREN, 4to. (pp. 33), sewn, 2s Qd ibidem, 1861 



BIG-AUD (Stephen Peter, Samlian Prof. Astron., Oxon, F.R.S.) HISTORICAL ESSAY on the 



FIRST PUBLICATION of SIR ISAAC NEWTON'S PRINCIPIA (1838) v. NEWTONIANA, No. 12622, ante. 



