2460 Simultaneous equations; including linear equations 2460 



with trigonometric coefficients. Crelle, A. L. 

 N. A. Mth. 11 (1852) 383-. 



3 variables. Amiot, B. Eouen Ac. Tr. 

 (1842) 41-. 



n variables. Koch, H. van. Stockh. Ofv. 

 (1890) 109- ; Fschr. Mth. (1890) 111. 



large number of variables. Nekrasov, P. A. 

 St Pet. Ac. Sc. Mm. (Rs.) 69 (1892) (Suppl.) 

 No. 5, 18 pp. 



, solution by successive approxi- 

 mation, Seidel's process. Mehmke, R. Eec. 

 Mth. (Moscou) 16 (1893) 342-. 



Linear simultaneous equations. Soule, . 



Bordeaux S. Sc. Mm. 2 (1891) x-. 

 , cases of insolubility or indeterminance. 



Farcy, A. N. A. Mth. 4 (1845) 474-. 

 , solution, theorems. Meyer, U. H. 



Grunert Arch. 12 (1849) 336-. 

 Malfatti's problem, system of equations. Cay- 

 ley, A. [1875] L. Mth. S. P. 7 (1876) 38-. 

 , and another algebraic system. 



Cayley, A. Camb. and Dubl. Mth. J. 4 (1849) 



270-. 

 Multiple solutions of several equations. Com- 



bescure, E. C. B. 62 (1866) 383-. 



2 equations, criteria. Perrin, R. 

 C. B. 107 (1888) 22-. 



3 equations, criteria. Perrin, R. 

 C. B. 107 (1888) 219-. 



Newton's formulas for sums of like powers of 

 roots, extension. Meray, C. C. B. 61 (1865) 

 710- ; Par. EC. Norm. A. 4 (1867) 159-. 



Nine quantities contained in a certain nine 

 equations. Hearn, G. W. Camb. and Dubl. 

 Mth. J. 4 (1849) 265-. 



(Hearn). F., L. J. 



Camb. and Dubl. Mth. J. 5 (1850) 179-. 



Nomographic method, application. Ocagne, 

 M. d'. Par. S. Mth. Bll. 26 (1898) 16-. 



representation of equations of second order 

 with 3 variables. Ocagne, M. d\ Par. S. 

 Mth. Bll. 24 (1896) 81-. 



Normal equations, general solutions. Flint, 



A. S. A. Mth. 4 (1888) 182-. 

 with 3 variables, Jacobi's solution of a 



system. Seeliger, H. As. Nr. 82 (1873) 



249-. 

 Numerical equations, one or more variables, 



solution. Sarrus, F. Liouv. J. Mth. 6 



(1841) 171 -. 

 Order of certain systems of equations. Cayley, 



A. Camb. and Dubl. Mth. J. 4 (1849) 132-. 

 . Salman, G. QJ. Mth. 



1 (1857) 246-. 

 . Roberts, S. [1867] L. Mth. 



S. P. 2 (1869) 8-. 

 Porismatic equations. Davis, R. F. Mth. Gz. 



1 (1900) 252-, 273-. 

 Problem, to find x and y given 



x - y = ~ = x* + y\ 



Schlomilch, O. Grunert Arch. 9 (1847) 456. 

 of 3 simultaneous quadratics in Wallis's 

 Algebra. Degen, C. F. (vi Adds.) Kiob. 

 Ov. (1816-17) 2-. 



Problems with 2 unknowns, solution by suc- 

 cessive approximations. [Barre de] Saint- 

 Venant, . C. B. 54 (1862) 845-. 



Quantities associated in systems, and appli- 

 cation to theory of simultaneous equations. 

 Meray, C. Par. fee. Norm. A. 8 (1879) 81-, 327-. 



Beal roots of 2 numerical algebraic equations 

 with two variables, finding the. Mehmke, R. 

 Z. Mth. Ps. 35 (1890) 174-. 



Besolvent of 2 equations of 2nd order. Saint- 

 Germain, A. de. (xi) Par. S. Mth. Bll. 1 



(1873) 142-. 



Boots common to several equations. Dyck, W. 



C. B. 120 (1895) 34-. 

 simultaneous equations, number. 



Picard, E. N. A. Mth. 8 (1889) 5-; C. B. 



113 (1891) 356-, 669-, 1012-. 

 , . Kronecker, . C. B. 



113 (1891) 1006-. 

 , . Picard, E. Liouv. J. 



Mth. 8 (1892) 5-. 



system of simultaneous equations, 

 number, and sum of values of a function 

 at these points. Dyck, W. C. B. 119 (1894) 

 1254-. 



of simultaneous equations. Cauchy, A. L. 

 C.B. 4(1837)672-; 5(1837)6-. 



, Cauchy's theorem. Liouville, J., 



& Sturm, C. C. B. 4 (1837) 720-. 



Separation of roots of simultaneous equations. 

 Vasil'ev, A. V. (xn) Kazan Un. Mm. [10] 



(1874) 631-. 



Simultaneous equations deducible from one 

 another by substitution, system. Cauchy, 

 A. L. C. B. 22 (1846) 159-, 193-. 



, solution by determinants. Bianchi, G. 



Mod. Mm. S. It. 22 (1839) 184-. 



, systems, solution, general method. 

 Cauchy, A. L. C. B. 25 (1847) 536-. 



and theory of combinations. Bounia- 



kowsky, V. [1844] St P6t. Ac. Sc. Mm. 6 

 (1850) 109-. 



U VW 



, three, a= =fc . , etc., etc. 



V(l-f 2 )(l-w 2 ) 



Unferdinger, F. Grunert Arch. 35 (1860) 

 32-. 



, verification of solution of system. 

 Merrifteld, C. W. [1870] Mess. Mth. 5 

 (1871) 206-. 



, 2nd order, graphic solution. Allardice, 



R. E. Edinb. B. S. P. 17 (1891) 139-. 



, mth order with two variables, system 



of 2. Escary, . N. A. Mth. 20 (1881) 

 227-. 



t higher order, application of deter- 

 minants. Simmons, T. C. Fschr. Mth. 

 (1895) 127-. 



Sturm's theorem, extension to system of 

 simultaneous equations. Hermite, C. C. B. 

 35 (1852) 52-. 



System of equations S afx, = b r ; (r = 1 , 2 . . . n) . 



Simerka, W. Wien = SB. 33 (1858) 277-. 



occurring in Darboux's " Theorie 

 gene"rale des surfaces," solution. Craig, T. 

 A. Mth. 11 (1896-97) 48-. 



186 



