THE RECENT PROGRESS OF ANALYSTS. 317 



BRONWIN. On Elliptic Functions. Camb. Mathematical Journal, 

 in. 123. Mr Bronwin puts the transcendental formula of trans- 

 formation in a very neat form. 



On M. Jacobi's Theory of Elliptic Functions. Lond., Ed. and 



Dub. Phil. Mag. xxn. 258. V. R. p. 267. 



Reply to Mr Cay ley's Remarks. L., E. & D. Phil. Mag. xxin. 



89. Y. R. uU supra. 



CATALAN. Sur la Reduction d'une Classe d'Integrales Multiples. L. 

 iv. 323. 



Sur les Transformations des Variables dans les Integrates 



Multiples. Memoires Qouronnes par 1' Academic Royal e de 

 Bruxelles, xiv. 2de partie, p. 1. The third part contains a trans- 

 formation of a multiple integral leading to properties of hyper- 

 elliptic integrals analogous to known properties of elliptic in- 

 tegrals. 



CAUCHY. Comptes Rendus, xvn. 825. Y. R. p. 292. 



CAYLEY. Memoire sur les Fonctions doublement Periodiques. L. 

 x. 385. An enlargement of his paper on the inverse elliptic 

 functions, published in the fourth volume of the Cambridge 

 Mathematical Journal. Y. R. p. 292. 



Remarks on the Rev. B. Bronwin's paper. L., E. and D. Phil. 



Mag. xxii. 358. 



Investigation of the Transformation of certain Elliptic Func- 

 tions. L., E. and D. Phil. Mag. xxv. 352. Y. R. p. 292. 



On the iDverse Elliptic Functions. Camb. Math. Journal, iv. 



257. Y. R. p. 292. 

 CHASLES. Comptes Rendus de 1'Institut, xvn. 838, and xix. 1239. 



M. Chasles in these two communications presents to the Institute 



notices of his geometrical researches illustrative of the theory of 



elliptic functions. Y. R. p. 300. 

 CLAUSEN. Schumacher's Nachrichten, xix. 178. On a particular 



Integral mentioned by Legendre. 



Schumacher's Nachrichten, xix. 181. It is shown that the 



arcs of one of the curves, known as the Spirica of Perseus, may 

 be rectified by means of an elliptic integral. 



EISENSTEIN. Theoremes sur les Formes Cubiques. C. xxvu. 75. 

 At the end of this paper we find some developments of elliptic 

 functions in continued fractions. This subject is continued in 

 the following paper of M. Eisenstein's. 



Transformations remarquables de quelque Series. C. xxvu. 



193, and xxvni. 36. See also Theorema, C. xxix. 96. 



Bemerkungen zu den elliptischen und Abelschen Transcenden- 



