86 REPORT—1846. 
Ciausen. Schumacher’s Nachrichten, xix. 178. On a particular Integral 
mentioned by Legendre. 
——. Schumacher’s Nachrichten, xix. 181. It is shown that the ares of 
one of the curves, known as the Spirica of Perseus, may be rectified 
by means of an elliptic integral. 
EIsENsTEIN. Théorémes sur les Formes Cubiques.—C. xxvii. 75. At the 
end of this paper we find some developments of elliptic functions in con- 
tinued fractions. This subject is continued in the following paper of 
M. Eisenstein’s. 
Transformations remarquables de quelque Séries——C. xxvii. 193. 
and xxviii. 36. See also Theorema, C. xxix. 96. 
Bemerkungen zu den elliptischen und Abelschen Transcendenten.— 
C. xxvii. 185. M. Jacobi has criticised this paper (of which a trans- 
lation appears in Liouville’s Journal, x. 445) in the thirtieth volume of 
Crelle’s Journal. 
Elementare Ableitung einer merkwurdiger Relation zwischen zwei 
unendlichen Producten.—C. xxvii. 285. V. R. p.’70. 
- Beitrage zur Theorie der Elliptischen Functionen.—C. xxx. 185, 
211. This paper contains a demonstration of the fundamental formula 
of elliptic functions. V. R. p. 71. 
GupErmann. Integralia Elliptica Tertiz Speciei Reducendi Methodus 
Simplicior, &e.—C. xiv. 159, 185. V. R. p. 68. 
—. Einige Bemerkungen iiber Elliptische Functionen.—C. xvi. 78. 
——. Series nove quarum ope Integralia Elliptica Prime et Secunde 
Speciei computantur, &c.—C. xvi. 366. and xvii. 382. 
——. Theorie der Modular Functionen und der Modular Integrale-— 
C. xviii. 1, 142, 220, 303; xix. 46, 119, 244; xx. 62, 103; xxi. 240; 
aes, 301; xxv. 281. A systematic treatise on elliptic functions. V. 
- p- 69. 
Girziarr. Equatio Modularis pro Transformatione Functionum Ellipti- 
carum Septimi Ordinis——C. xii. 173. V. R. p. 68. 
dod 
HAEDENKAMP. i li 5 : 
Pp. De Transformatione Integralis Sf (sin?v—sin® 008") 
—C. xx. 97. It is shown to be the product of two elliptic integrals. 
——. Uber Transformation vielfacher Integrale—C. xxii. 184. Analo- 
gous to the researches of M. Catalan in the ‘ Mémoires de Bruxelles,’ 
which appears to have been previously published. 
——. Uber Abelsche Integrale—C. xxv. 178. V. R. p. 80. 
Hermite. Sur la Théorie des Transcendantes a Différentielles Algébriques. 
—L. ix. 353. Extracted from the ‘Comptes Rendus’ [June 1844]. 
This note, which contains scarcely more than an indication of M. Her- 
mite’s results, may be said to mark the furthest advance yet made in 
the theory of the comparison of transcendents. V. R. p. 82. 
Hitt. Exemplum usus Functionum Iteratarum, &c.—C. xi. 193. This 
paper contains some interesting applications of the calculus of functions 
to the comparison of transcendents. V. R. p. 42. 
Jacosi. Addition au Mémoire de M. Abel sur les Fonctions Elliptiques. 
—C. iii. 86. A short note, containing an important simplification of 
Abel’s method of solving the equation of the problem of division. 
VR. p.59. 
——. Note sur la Décomposition d’un Nombre donné en quatre quarrés.— 
C. iii. 191. The demonstration referred to is founded on elliptic 
functions. : 
——. Note sur les Fonctions Elliptiques.—C. iii. 192. 
