2020 Elimination 



Bezout's method. Cayley, A. Crelle J. 53 



(1857) 366-; Mess. Mth. 2 (1863) 88-. 

 . Painvin, L. N. A. Mth. 13 (1874) 



278-. 

 . Stickelberger, . D. Nf. B. (* 1883) 



58. 

 and continued fractions. Borchardt, C. W. 



Berl. Ak. Ab. (1878) (Mth. 1-). 

 by cross-multiplication. Smith, Arch. Camb. 



Mth. J. 1 (1839) 46. 

 degree of equation resulting from. Minding, 



E. F. A. Crelle J. 22 (1841) 178-. 

 . Magnus, L. J. Crelle J. 26 



(1843) 365-. 



- , expression for. Minding, 

 E. F. A. [1843] St Pet. Ac. Sc. Bll. 2 



(1844) 273-. 



dialytic method. Sylvester, J. J. Ir. Ac. P. 2 



(1840-44) 130-. 

 applied to ternary systems of equations. 



Sylvester, J. J. Camb. Mth. J. 2 (1841) 



232-. 

 , extensions. Sylvester, J. J. Ph. Mg. 2 



(1851) 221-. 

 , Sylvester's. Madsen, (Kapt.) V. H. 0. 



(xn) Ts. Mth. 5 (1875) 144-. 

 in equations of 1st order. Gergonne, J. D. 



Gergonne A. Mth. 4 (1813-14) 148- ; 12 



(1821-22) 281- ; 20 (1829-30) 109-. 

 . Majo, L. de. Nap. Mm. Ac. 



Sc. 1 (1852-54) 101-. 

 by finding common divisor. 



Raymond, G. M. Gergonne A. Mth. 2 



(1811-12) 38-. 

 higher orders. Kramp, C. Gergonne 



A. Mth. 1 (1810-11) 321-. 

 Euler's method. Biehler, C. N. A. Mth. 6 



(1887) 67-. 

 example. Anderson, Jas. Mathematician 1 



(1845) 181-. 



formation of eliminant. Bes, K. Amst. Ak. 



Vs. 8 (1900) 173- ; Amst. Ak. P. 2 (1900) 



85-. 

 formula. Cayley, A. L. Mth. S. P. 11 (1879- 



80) 139-. 

 Gauss's method. Hall, A. A. Mth. 8 (1893- 



94) 64. 

 general theory. Voizot, . L'l. 3 (1835) 



.' Bes, K. Amst. Ak. Vh. (Sect. 1) 6 



(1899) No. 7, 121 pp. 

 by H.C.F. Bret, . Par. EC. Pol. J. 8 



(1809) (15 e cah.) 162- ; Gergonne A. Mth. 3 



(1812-13) 13-. 

 . Sarrus,F. (vi Adds.) Strasb. S. 



Sc. N. Mm. 2 (1832) 190-. 



indeterminate multipliers. Smith, Arch. 

 Camb. Mth. J. 1 (1839) 49-. 



introduction to a theory. Garbieri, G. G. 

 Mt. 30 (1892] 41-. 



linear method for algebraic equations. 

 Sylvester, J. J. Ph. Mg. 18 (1841) 425-. 



and linear simultaneous equations, algebraic or 

 differential. Mainardi, G. Mil. At. I. 

 Lomb. 1(1858) 95-. 



Liouville's theorem, demonstration and ap- 

 plication. Fouret, G. N. A. Mth. 9 (1890) 



Elimination 2020 



method. Craufitrd, A. Q. G. Camb. Mth. J. 



2 (1841) 276-. 



. Cayley, A. N. A. Mth. 18 (1859) 

 397-. 



of obtaining final equation without irrelevant 

 factors. Araldi, A. (ix) [1858] Mod. Ac. 

 Sc. Mm. 3 (1861) 3-. 



methods. Cossali, P. [1812] Mod. Mm. S. 

 It. 16 (1813) 272-. 



of Fontaine, Vandermonde, and Laplace. 

 Terquem, O. N. A. Mth. 5 (1846) 153-. 



new and extended theory. Sylvester, J. J. 



Ph. Mg. 15 (1839) 428-; 16 (1840) 37-. 

 and polars. Clebsch, A. [1860] Crelle J. 58 



(1861) 273-. 

 problem. Borchardt, C. W. Berl. Mb. (1859) 



376-. 



. Krey, H. Mth. A. 12 (1877) 476-. 

 . Stephanos, C. C. B. 97 (1883) 1050-. 



comprising theory. Ventejols, . C. B. 

 84 (1877) 546-. 



of Sylvester's. Tait, . [1892] Edinb. B. 

 S. P. 19 (1893) 131-. 



. Muir, T. [1892] Edinb. B. S. P. 



20 (1895) 300-. 

 . Cayley,. [1894] Edinb. B. S. P. 



20 (1895) 306-. 

 . Muir, T. Edinb. B. S. P. 20 



(1895) 371-. 

 . Nanson, E. J. [1897] Edinb. B. S. 



P. 22 (1900) 150-. 

 problems. Cayley, A. QJ. Mth. 8 (1867) 



183- ; 11 (1871) 99-. 

 on curves satisfying given conditions. 



Brill, A. Gott. Nr. (1870) 525-. 

 a process in. Biehler, C. N. A. Mth. 19 (1880) 



202-, 332-. 

 between quadratic and set of linear functions 



(reply to Boole). Sylvester, J. J. Camb. 



and Dubl. Mth. J. 6 (1851) 171-. 



quadratics, theorems in. Sylvester, J. 7. 

 Ph. Mg. 37 (1850) 213-. 



result. Salmon, G. Camb. and Dubl. Mth. J. 



3 (1848) 169-. 



. Cayley, A. Tortolini A. 7 (1856) 454-. 

 resultants, comparison. Borchardt, C. W. 



Crelle J. 57 (1860) 183-. 

 simple. Drinkwater, J. E. Ph. Mg. 10 (1831) 



24-. 

 by special algorithm. Gruson, J. P. Berl. 



Ab. (1816-17) 1-. 

 symbolic process. Clebsch, A. Berl. Mb. 



(1860) 536-. 

 by symmetric functions. Liouville, J. N. A. 



Mth. 6 (1847) 295-. 

 symmetrical method in simple equations by 



determinants. Warner, J. D. Am. As. P. 



(1881) 50-. 

 from a system of equations. Brill, A. [1871] 



Mth. A. 5 (1872) 378-. 



theorem. Cayley, A. QJ. Mth. 12 (1873) 5-. 

 theory. Eichelot, F. J. Crelle J. 21 (1840) 



226-. 

 . Grunert, J. A. Grunert Arch. 2 (1842) 



76-, 337-, 345-. 

 . Crelle, A. L. Berl. Ab. (1844) 1- ; (1845) 



1-. 

 . Chio, F. Palomba Bac. 3 (1847) 193-. 



138 



