2050 Binary Forms 



Combinants of two binary biquadratic forms, 



complete system. Stephanos, C. C. E. 97 



(1883) 27-. 

 - forms, complete system. Stroh, E. 



Mth. A. 34 (1889) 321-. 

 Concomitant binary forms in terms of the roots. 



MacKinnon, (Miss) A. L. A. Mth. 9 (1894- 



95) 95- ; 12 (1898-99) 95-. 

 Concomitants, irreducible, of any number of 



binary quartics. Young, A. L. Mth. S. P. 



30 (1899) 290- . 

 Condition for involution of two quartics. 



Binary Forms 2050 



Covariants, elementary, of system of two bi- 

 quadratic binary forms, number. Sylvester, 

 J. J. C. B. 84 (1877) 1285-. 



, fundamental, of binary cubo-quadratic 

 system. Sylvester, J. J. C. E. 87 (1878) 

 242-, 287-. 



, , system of 2 cubics, true number. 

 Sylvester, J. J. C. E. 89 (1879) 828-. 



, independent, of binary forms, number. 

 Stroh, E. Mth. A. 31 (1888) 441-. 



and invariants of binary form, theorem. 

 Gordan, P. Crelle J. 69 (1868) 323-. 



Alagna, E. Palermo Cir. Mt. Ed. 5 (1891) . Brioschi, F. Tortolini A. 1 



301-. (1858) 296-, 549-; 2 (1859) 82-, 265-; 3- 



Conditions that binary octavic should have (I860) 160-. 



4 double points. Alagna, R. Palermo Cir. . Bonsdor/, E. [E. J.] [1876] 



Mt. Ed. 4 (1890) 25-. Helsingf. Acta 11 (1880) 167-. 



form F(x 2 , y-) maybe expressed in terms , relations. Perrin, E. C. E. 



of an exact square. Giordano, G. G. Mt. 96 (1883) 426-. 



, residues. Perrin, R. Par. 



37 (1899) 367-. 

 Conjugate binary forms and their geometric 



construction. Schlesinger, 0. [1882] Mth. 



A. 22 (1883) 520-. 

 Covariant formula. Caijley, A. QJ. Mth. 16 



(1879) 224-. 



Covariants of binary cubic, geometrical inter- 

 pretation. Cayley, A. QJ. Mth. 10 (1870) 



148-. 

 forms. Cayley, A. Crelle J. 50 (1855) 



277-. 

 . Betti, -E. Tortolini A. 1 (1858) 



129-. 

 . Jordan, C. C. E. 82 (1876) 269- ; 



87 (1878) 202- ; Liouv. J. Mth. 2 (1876) 177- ; 



5 (1879) 345-. 

 . Le Paige, C. M. M. H. H. Brux. 



Ac. Bll. 49 (1880) 113-. 

 . Petersen, J. P. C. (xn) Ts. 



Mth. 4 (1880) 177- ; 5 (1881) 33- ; 6 (1889) 



152- ; Fschr. Mth. (1888) 117-. 

 , development. Bonsdorff, E. 



[E. J.] [1877] St. Pet. Ac. Sc. Bll. 24 (1878) 



, geometric representation. Linde- 



mann, C. L. F. Par. S. Mth. Bll. 5 (1877) 



113- ; 6 (1878) 195-. 

 , reduction of two. Stroh, E. Mth. 



A. 22 (1883) 290-. 

 quantic. Cayley, A. B. A. Ep. 41 



(1871) (Sect.) 9-. 



, finite number of. Cayley, A. 

 QJ. Mth. 17 (1881) 137- ; Mth. A. 34 (1889) 

 319-. 



of rith degree. Roberts, M. QJ. 



Mth. 4 (1861) 168-, 324- ; 5 (1862) 



quintic. Roberts, M. Tortolini A. 3 



(1860) 340-. 

 , biquadratic (Cayley's formula). Brioschi, F. 



Crelle J. 53 (1857) 377-. 



of a biquadratic form, geometrical repre- 

 sentation. Le Paige, C. M. M. H. H. Brux. 

 Ac. Bll. 50 (1880) 115-. 



cubo-biquadratic system. Le Paige, 

 C. M. M. H. H. Brux. Ac. Bll. 46 (1878) 

 765-. 



, double, of binary forms. Laguerre, E. (x) 

 Par. S. Phlm. Bll. 8 (1872) 48-. 



S. Mth. Bll. 11 (1883) 88-. 



, theory. Dienger, J. [1870] 



Prag Ab. 4 (1871) 47 pp. 



even character of binary sextic 



relations. Stephanos, C. C. E. 96 (1883) 

 232-, 1564-. 



same binary form, relations be- 

 tween. Brioschi, F. A. Mt. 11 (1882-83) 291-. 



, irrational, of certain binary forms. Study, E. 

 Am. J. Mth. 17 (1895) 185-. 



, irreducible, of binary octavic. Sylvester, 

 J. J. C. E. 93 (1881) 192-, 365-. 



, , septic. Sylvester, J. J. C. E. 87 

 (1878) 505-. 



, , cubo-biquadratic binary system, 

 exact number. Sylvester, J. J. C. E. 87 



(1878) 477-. 



, linear fundamental, of two binary cubics. 



Ovidio, E. d'. Tor. Ac. Sc. At. 15 (1879) 



267-. 

 , simultaneous, of two quartics and of two 



quintics. Pascal, E. A. Mt. 16 (1888-89) 



85-. 

 , special mode of forming. Wiltheiss, E. 



Mth. A. 35 (1890) 433-; 36 (1890) 134- ; 37 



(1890) 229-. 



of system of three binary forms, principle 

 for obtaining. Igel, B. [1882] Wien Ak. D. 

 46(1883) (^6.2)350-. 



, two simultaneous, of two biquadratic binary 

 forms. Ovidio, E. d\ Tor. Ac. Sc. At. 15 



(1879) 301-. 



Cubi-quadric system. Hammond, J. Am. J. 



Mth. 8 (1886) 138-. 

 Cubic resolvent of a binary quartic. White, 



H. S. N. Y. Am. Mth. S. Bll. 3 (1897) 250-. 



transformation of a binary cubic form. 

 Torelli, G. Nap. Ac. Pont. At. 18 (1888) 

 215-. 



Determinant, functional, of any number of 

 binary forms. Le Paige, C. M. M. H. H. 

 C. E. 92 (1881) 688-. 



Differential operators, certain linear, inter- 

 change of variables in. Elliott, E. B. [1889] 

 Phil. Trans. (A) 181 (1891) 19-. 



Discriminant of binary cubic, arithmetical 

 theorem connected with. Sylvester, J. J. 

 C. E. 60 (1865) 1011-, 1121-. 



149 



