2060 Ternary Forms 



Ternary forms, conditions for linear factors 

 of. Brill, A. [1896-97] D. Mth. Vr. Jbr. 5 

 (1901) (Heft 1) 52- ; Mth. A. 50 (1898) 157-. 



of 4th, 5th, 6th, 7th orders, equations 

 arising from certain. Brioschi, F. Mil. I. 

 Lomb. Ed. 17 (1884) 401-. 



, Hilbert's method of deriving invariants, 

 etc. White, H. S. Am. J. Mth. 14 (1892) 

 283-. 



, property. Brioschi, F. G. Mt. 1 (1863) 



65-. 

 , reduced systems. Bonsdorff, E. Hel- 



singf. Acta 14 (1885) 397-. 

 with several series of variables. Capelli, 



A. G. Mt. 18 (1880) 17-. 

 , simultaneous, equivalent to given ternary. 



Forsyth, A. E. QJ. Mth. 23 (1889) 102-. 



linear forms. Study, E. Mth. A. 30 (1887) 

 120-. 



quadratic forms. Battaglini, G. [1867] 

 Nap. At. Ac. Sc. 3 (1866-68) (No. 17 e No. 26) 

 26 + 32 pp. 



, automorphic transformation. Her- 



mite, C. Crelle J. Mth. 78 (1874) 325-. 

 , complete invariantive system of three. 



Fischer, E., d- Mumelter, K. Mh. Mth. Ps. 



8 (1897) 97-. 

 .indefinite. Picard,E. C.E.97(1883) 



845-. 

 , linear syzygetic relations between 



coefficients. Genese, E. W. B. A. Ep. (1882) 



452-. 

 , positive, reduction. Charve, L. Par. 



c. Norm. A. 9 (1880) (Suppl.) 156 pp. 

 , representation by squares. Igel, B. 



[1874] A. Mt. 6 (1875) 141-. 



, simultaneous reduction of 2, to 

 canonical form. Vogt, H. N. A. Mth. 15 

 (1896) 441-. 



, system of 2. Perrin, E. Par. S. 



Mth. Bll. 18 (1890) 1-. 

 , simultaneous. Osgood, W, F. 



Am. J. Mth. 14 (1892) 262-. 

 , 3. Ciamberlini, C. G. Mt. 24 



(1886) 141-. 



, simultaneous. Gundel- 

 finger, S. [1874] Crelle J. Mth. 80 (1875) 73-. 



, theory. Meyer, A. Crelle J. Mth. 



98 (1885) 177- ; 112 (1893) 87-. 



quartic f=x^x 2 + x./x 3 + x/x 1 , complete 

 form system of. Gordan, P. Mth. A. 17 

 (1880) 217- ; 20 (1882) 487-. 



f=x l s x 2 + x<?x 3 + x 3 s x 1 , typical repre- 

 sentation. Gordan, P. Mth. A. 17 (1880) 

 359-. 



quartics. Joubert, P. C. E. 56 (1863) 1045-, 

 1088-, 1123-. 



. Scherrer, F. E. A. Mt. 10 (1880-82) 



212-. 

 , invariant systems of. Maisano, G. G. 



Mt. 19 (1881) 198-. 



and quaternary cubic forms. Poincare, H. 

 Par. EC. Pol. J. 31 ( = Cah. 50) (1881) 199- ; 

 Cah; 51 (1882) 45-. 



Vanishing determinants of 3rd degree, in 

 ternary linear forms. Pasch, M. Mth. A. 

 44 (1894) 89-. 



Algebraic Forms 2070 



Vanishing functional determinants, ternary 



forms with. Pasch, M. Mth. A. 18 (1881) 



93-. 

 Weierstrassian formulae applied to binary quartic 



and ternary cubic. Baker, H. F. QJ. Mth. 



24 (1890) 1-. 



2070 Special developments asso- 

 ciated with forms in more than 

 three variables. 



Algebraic forms, finite invariant system. Hil- 



bert, D. Gott. Nr. (1888) 450- ; (1889) 25-, 



423-; Mth. A. 36 (1890) 473-. 

 , . Gordan, P. Gott. Nr. (1899) 



240-. 

 Biquadratic (quadri-quadric) forms. Frobenius, 



G. Crelle J. Mth. 106 (1890) 125-. 

 Characteristic determinant of any n quantics, 



property. MacMahon, P. A. B. A. Ep. 



(1900) 644. 

 Covariants of quadratics. Mertens, F. Krk. 



Ak. (Mt.-Prz.) Pam. 12 (1886) 1-; Fschr. 



Mth. (1886) 103-. 

 Equation connected with quadrics. Sauvage, L. 



N. A. Mth. 14 (1895) 369-. 

 Hermite's form, transformation. Loewy, A. 



Gott. Nr. (1900) 298-. 

 Hessian of composite quaternary cubic form. 



Walker, J. J. [1865] QJ. Mth. 7 (1866) 



347-. 

 a quaternary function. Cayley, A. QJ. 



Mth. 12 (1873) 193-. 



manifoldness in space of 4 dimen- 

 sions. Ascione, E. G. Mt. 31 (1893) 210-. 



Invariant systems of quaternary forms. Mer- 

 tens, F. Wien Ak. Sb. 98 (1890) (Ab. 2a) 

 691-. 



theory of n-ary forms. Pascal, E. Em. E. 

 Ac. Line. Ed. 4 (1888) (Sem. 1) 119-. 



Invariants, application of a known theorem to. 



Eosanes, J. Mth. A. 23 (1884) 412-. 

 , simultaneous, of two quadratic forms. 



Segre, C. Mth. A. 24 (1884) 152-. 



of 3 quaternary quadratic forms. Mertens, 

 F. Wien Ak. Sb. 99 (1891) (Ab. 2a) 367-. 



Jacobian of 4 algebraic surfaces, its singulari- 

 ties. Gerbaldi, F. Palermo Cir. Mt. Ed. 10 

 (1896) 158-. 



Quadratic form in m variables, decomposition 

 into sum of m-n squares. Benoit, . N. 

 A. Mth. 5 (1886) 30-. 



with non-vanishing determinant, charac- 

 teristic of a real. Loewy, A. Mth. A. 52 

 (1899) 588-. 



in n variables, conditions for reduction 



of number. Levy, M. C. E. 86 (1878) 

 463-. 



, transformation to n squares. 



Studnicka, F. J. Prag Sb. (1888) (Mth.-Nt.) 

 256-. 



forms, adjoint. Eados, G. Mth. Termt. 

 Ete. 14 (1896) 26-; Mth. Nt. B. Ung. 14 

 (1898) 85-. 



, algebraic theory. Kronecker, L. Berl. 

 Mb. (1872) 490-. 



155 



