158 Report S.A.A. Advancement of Science. 



1813. Gergonne, J- D- Developpement de la theorie donnee par 



M. Laplace pour relimination au premier degre. 

 Aiiiiah'S dc ISLath. IV.. pp. 148-155. 



1 81 4. Garnier, J. G. Analyse Algebrique, faisant .suite a la 



premiere section de I'algebre. 2e edition, revue et con- 

 siderablement: augmentee, pp. 541-555- Paris. 



1 81 5. Cauchv, A. L. Theorie de la propagation des ondes a la 



surface d'un fluide pesant dune profondeur indefinie. 

 Mem. present cs par divers savants d I'Acad. ray. des 

 SCI. dc VTnst. dc France. ... I. (1827). Or (Eiivres 

 ]<? sen 1.. pp. 5-318. 



18:15. Scherk. H. F. Mathematische AbhandlungL 1. (pp. 31- 



°"-) iv. + 116 pp. Berlin. 



1827. Jacobi, C. G. J.'^ Ueber die Haui)ta.\en der Flachen der 

 zweiten Ordnung. Crelle's Joiirn. II.. pj). 227- 



1827. Jacobi. C. G. J. De singulari quadam duplicis integralis 

 transformatione. Crelle's Joiirn. II., pp. 234-242. 



1829. Minding, F. Auflosung einiger Aufgaben der analytischer 

 Geometrie vermittelst des barvcentrischen Calculs. 

 Crelle's Jour a. V., pp. 397-401. 



1829. Jacobi, C. G. J. Exercitatio algebraica circa discerptionem 

 singularem fractionum. quae plures variabiles invol- 

 vunt. Crelles Joiirti. V., pp. 344-364. Also, in 



part, in Noiiv. Annates de ISLatli. IV., pp. 533-535. 



1829. Cauchv. A. L. Sur Tequation a I'aide de laquelle on deter- 

 mine les inegalites seculaires de mouvements de.s- 

 planetes. Exercices de Math. JV. Or CEiivres 

 (2) IX., pp. 172-195. 



1831. Jacobi, C. G. J. De transformatione integralis duplicis in- 



definiti in formam simpliciorem , 



Crelle's Joiirn. VIII.. pp. 253-279, 321-357. 



1833. Jacobi, C. G. J. De binis quibuslibet functionibus homoge- 



neis secundi ordinis per substitutiones lineares in alias- 

 binas transformandis quae solis quadratis variabilium 



constant; una cum Crelle's Jonrn. XII. pp. 



1-69. 



1834. Jacobi, C. G. J. Dato systemate n aequalionuin linearlum 



inter ;/ incognitas, valores incognilarum per integralia 

 definita (;/-i)-tuplicia exhibentur. Crelle's Jonrn. 



XIV.. pp. 51-55. 



* In this volume of Crelle's Jouni. five other sets of initials are found preceding" 

 the name Jacobi, vi/., C. D.,"j. (i.. J. D. G., [. G. D., D. G. T.. the same w riter 

 alu avs beinsi meant. 



