2815 Indeterminate equations 



Diophantine equations, solutions. Catalan, 

 E. C. Li6ge S. Sc. Mm. 15 (1888) No. 1, 

 73-, 75-, 120-, 211-, 259. 



problem before Diophantus. Biot, J. B. 

 C. K. 28 (1849) 576-. 



, Fermat's solution. Roberts, S. As. Fr. 



C. E. (1886) (Pt. 2) 43-. 

 , solution. Kausler, C. F. [1806] St Pet. 



Ac. Sc. Mm. 1 (1809) 271-. 

 , . Strong, T. Silliman J. 1 (1818) 



426-. 

 , . Wlieeler, A. D. Silliman J. 20 



(1831) 295-. 

 , . Bouniakowsky, V. [1841] St Pet. 



Ac. Sc. Mm. 5 (1844) 1-. 

 , . Boije af Gennds, C. 0. N. A. Mth. 



19 (1880) 278-. 



problems. Eider, L. St Pet. Ac. Sc. Mm. 

 9 (1824) 3- ; 11 (1830) 46-. 



, solution. Eider, L. [1778] St Pet. 



Ac. Sc. Mm. 4 (1813) 3-. 

 5 solutions of two. Strong, T. Silliman 



J. 31 (1837) 156-. 



speculations. Lenhardt, W. Mth. Misc. 1 

 (1838) 263-, 330- ; 2 (1839) 127-. 



examples. Steen, A. (xn) Ts. Mth. 1 (1865) 



20-. 

 impossibility of some. Lebesgue, V. A. N. A. 



Mth. 2 (1863) 68-. 

 mechanical solution. Tarry, H. As. Fr. C. E. 



(1897) (Pt. 1) 177. 

 Paoli's formula for number of solutions. Lucas, 



E. Mathesis 10 (1890) 129-. 



(Lucas). Catalan, E. Ma- 

 thesis 10 (1890) 197-. 

 power of polynomial, law of coefficients. 



Teixeira, J. P. G. Teix. J. Sc. 13 (1897) 



65- ; Fschr. Mth. (1897) 167. 

 problems, class, with application to decomposi- 

 tion of fractions. Gergonne, J. D. Gergonne 



A. Mth. 10 (1819-20) 271-. 

 , solution. Leslie, J. [1788] Edinb. E. S. 



T. 2 (1790) 193-. 

 , . Kausler, C. F. [1800] St Pet. Ac. 



Sc. N. Acta 15 (1806) 116-. 

 , . Perkins, G. R. Des Moines Anal. 1 



(1874) 40-, 101-, 151 -. 

 , two. Bouniakowsky, V. [1864] St Pe"t. 



Ac. Sc. Bll. 8 (1865) 163-. 

 quadratic duplicate equalities. Collins, M. B. 



A. Ep. (1855) (Pt. 2) 2-. 

 series derived from. Oliveira Ramos, J. C. d\ 



d- Faria, C. -J. de. G. Teix. J. Sc. 7 (1886) 



41- ; Fschr. Mth. (1885) 129-. 

 solution. Libri, G. Crelle J. 9 (1832) 277-. 

 . Pepin, T. Em. N. Line. At. 38 (1885) 



20-. 

 . Thue, A. Thrond. Skr. (1896) No. 7, 



14 pp. 



of problem of Beha-Eddin's. Liicas, E. 

 N. A. Mth. 15 (1876) 359-. 



by series. Libri, G. Crelle J. 9 (1832) 

 313-. 



system. Lebesgue, V. A. N. A. Mth. 9 (1850) 



46-. 

 tetrahedron problem. Chabanel, C. N. A. 



Mth. 13 (1874) 289-. 

 theorem. Liouville, J. C. E. 10 (1840) 381-. 



Indeterminate equations 2815 



theorem of Liouville. Gegenbauer, L. Wien 

 606-. 

 78 (1874) 144- ; 



Ak. Sb. 95 (1887) (Ab. 2) ( 

 rin, T. C. E. 

 88 (1879) 1255-. 



theorems. Pepin, 



and transformation of plane figures. Ruffini, 

 F. P. Bologna Ac. Sc. Mm. 9 (1878) 

 199-. 



triangle with bisectors of sides rational. Euler, 

 L. [1779] St Pet. Ac. Sc. Mm. 2 (1810) 

 10-. 



distances of centre of gravity from ver- 

 tices rational. Eider, L. [1778] St Pet. 

 Ac. Sc. N. Acta 12 (1801) 101-. 



2 or 3 variables. Maillet, E. Liouv. J. Mth. 

 6 (1900) 261-. 



3 variables, solution by slide-rule. San Roberto, 



P. di. Tor. At. Ac. Sc. 2 (1866-67) 454-. 

 several variables. Bianchi, G. Mod. Mm. S. 



It. 24 (1850) 265-. 

 , number of solutions. Berger,A. Stockh. 



Ofv (1886) 355-; Fschr. Mth. (1886) 149-. 

 virgins problem. Sylvester, J. J. Ph. Mg. 



16 (1858) 371-. 



1st order. 



Pilatte, . Gergonne A. Mth. 2 (1811-12) 



230-. 

 Gergonne, J. D. Gergonne A. Mth. 3 (1812- 



13) 147-. 

 Libri, G. Gergonne A. Mth. 16 (1825-26) 



297-. 



Crelle, A. L. Berl. Ab. (1836) 1-. 

 Brassinne, E. Toul. Mm. Ac. 4 (1837) 189-. 

 Crelle, A. L. Berl. Ab. (1840) 1-. 

 Chevillard, A. J. N. A. Mth. 2 (1843) 471-. 

 Grunert, J. A. Grunert Arch. 3 (1843) 203-. 

 Catalan,- E. C. N. A. Mth. 3 (1844) 97-. 

 Midy, . N. A. Mth. 4 (1845) 146-. 

 Grunert, J. A. Grunert Arch. 7 (1846) 162-. 

 Jau/roid, B. N. A. Mth. 11 (1852) 158-. 

 Reuschle, C. (jun.) Z. Mth. Ps. 19 (1874) 



272. 

 Meray, C. C. E. 94 (1882) 1167- ; Par. EC. 



Norm. A. 12 (1883) 89-. 

 Catalan, E. Mathesis 10 (1890) 220-, 241-, 



275-. 



Brocard, H. Mntp. Ac. Mm. 11 (1892) 139-. 

 Gram, J. P. N. Ts. Mth. 3 (B) (1892) 57-, 73- ; 



Fschr. Mth. (1892) 174. 

 Giudice, F. G. Mt. 36 (1898) 225-. 

 approximate solution. Kronecker, L. Berl. 



Ak. Sb. 1884) 1179-, 1271- 

 solution. Pezzi, F. Mod. S. It. Mm. 11 (1804) 



410-. 

 . Casterman, L. Liege A. Ac. (1819-20) 



36 pp. 

 . Binet, J. P. M. [1827] Par. EC. Pol. J. 13 



(1831) (20 e cah.) 289-. 

 . Paoli, G. de. Opusc. Mt. Fis. 1 (1832) 



262-, 327-. 

 . Binet, J. P. M. Liouv. J. Mth. 6 (1841) 



449-. 

 . Heger, I. Wien SB. 21 (1856) 550- ; 



Wien D. 14 (1858) 1-. 

 . Slavlk, J. Casopis 14 (1885) 137- ; Fschr. 



Mth. (1885) 122. 



202 



