ON THE RECENT PROGRESS OF ANALYSIS. 321 



de 1'Ecole Poly technique, cah. xxn. 124 and 149. These two 

 memoirs are x printed also in the fifth volume of the ' Memoires 

 des Savans Etrangers,' pp. 76, 105. Poisson's report on them is 

 inserted in the tenth volume of Crelle's Journal, v. infra. 



LIOUVILLE. Sur les TranscendantesElliptiques de Premiere et de 

 Seconde Espece. Journ. de 1'Ecole Polytech., cah. xxtn. 37. 

 V. R. p. 294. 



Note sur la Determination des Integrales dont la Valeur 



est Algebrique. C. x. 347. This note is appended to Poisson's 

 report. 



Sur T Integration d'une Olasse de Fonctions Transcendantes. 



C. xin. 93. On the same general subject as the preceding 

 memoirs. 



Sur la Classification des Transcendantes. L. n. 56, and in. 



523. These papers contain an exposition of the principles on 

 which this classification is to be effected. 



Sur les Transcendantes Elliptiques de Premiere et de Seconde 



Espece considerees comme Fonctions de leurs Modules. L. v. 

 34 and 441. It is proved that these transcendents so considered 

 cannot be reduced to algebraical functions. 



Rapport fait a 1'Academie des Sciences, &c. L. vm. 502. 



Report on M. Hermite's memoir. V. R. p. 312. 



Sur la Division du Perimetre de la Lemniscate. L. vm. 507. 



V. R. p. 281. 



Rapport sur le Memoir e de M. Serret sur la Representation 



Geometrique des Fonctions Elliptiques et Ultra-elliptiques. 

 L. x. 290. A note is appended to this report generalising M. 

 Serret's theory. V. R. p. 297. 



Sur un Memoire de M. Serret, &c. L. x. 456. V. R. p. 73. 

 LOBATTO. Sur 1'Integration de la Differentielle 

 dx 



Jx* + ax 3 + fix? + yx + 8 ' 

 C. x. 280. 



LUCHTERHANDT. De Traiisformatione Expressionis 



dy 



v/[*(y-")(2/-my-S)]' 

 C. xvn. 248. 



MAcCuLLAGH. Transactions of the Royal Irish Academy, xvi. 76. 



An elegant geometrical proof of Landen's theorem. 

 MINDING. Theorme relatif a une certaine Fonction Transcendaiite. 



C. ix. 295. The function in question was shown by M. Richelot 



to be reducible to elliptic integrals. 



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