2060 Ternary Forms 



Cyclicants or ternary reciprocants, and allied 

 functions. Elliott, E. B. L. Mth. S. P. 19 

 (1889) 377-. 



Differential equations of pure ternary re- 

 ciprocants. Elliott, E. B. L. Mth. S. P. 

 18 (1886-87) 142-. 



operators, certain linear, interchange of 

 variables in. Elliott, E. B. [1889] Phil. 

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



Discriminant of ternary cubic forms. Mangeot, 



S. N. A. Mth. 12 (1893) 421-. 

 form. Gordan, P. Munch. Ak. Sb. 



17 (1888) 477-. 

 , order of. Roberts, S. [1869] L. 



Mth. S. P. 3 (1869-71) 14-. 

 Eliminant of set of general ternary quadrics. 



Muir, T. [1899] Edinb. B. S. T. 39 (1900) 



667-; 40 (1905) 23-. 



Generating functions of ternariants, essay to- 

 wards the. Forsyth, A. R. L. Mth. S. P. 



29 (1898) 487-. 

 Hessian covariant of a ternary form. Wolffing, 



E. Mth. A. 36 (1890) 97-. 



of product of two ternary forms. Gerbaldi, F. 

 Palermo Cir. Mt. Ed. 3 (1889) 60-, 280. 



Hessians and Cayleyans of cubic curves. Gor- 

 dan, P. N. Y. Am. Mth. S. T. 1 (1900) 402-. 



of ternary quantics, identical vanishing. 

 Manning, H. P. J. H. Un. Cir. [9 (1889-90)] 

 78. 



Invariant of a quadratic bi-ternary form. 

 Cayley, A. Crelle J. 57 (1860) 139-. 



system of a ternary cubic form. Mertens, F. 

 Wien. Ak. Sb. 97 (1889) (Ab. 2a) 437-. 



ternary forms. Mertens, F. Wien 



Ak. Sb. 95 (1887) (Ab. 2) 942-. 



of trilinear ternary form. Pasch, M. Mth. 

 A. 52 (1899) 127-. 



Invariants and covariants of ternary forms, 



properties. Bernardi, G. [1880] G. Mt. 19 



(1881) 136-, 258-. 

 , simultaneous, from which resultant of 



3 ternary quadratic forms is composed. 



Igel, B. Wien Ak. Sb. 77 (1878) (Ab. 2) 



783-. 



of 3 ternary quadratic forms. Mertens, F. 

 Wien Ak. Sb. 93 (1886) (Ab. 2) 62-. 



Involution AF+BG + GH=0, where the letters 



denote ternary quadrics. Cayley, A. Mess. 



Mth. 22 (1893) 182-. 

 Irrational covariant cubics of plane cubics. 



White, H. S. N. Y. Am. Mth. S. T. 1 



(1900) 170-, 508. 

 Jacobian of net of quadrics. Schoute, P. H. 



Kazan S. Ps.-Mth. Bll. 9 (1900) 1-, (Prot.) 



33. 

 3 ternary forms. Gerbaldi, F. G. Mt. 



27 (1889) 33-. 

 Number of proper ternary n-ics. Cunningham, 



(Lt.-Col.) A. Mess. Mth. 23 (1894) 1-. 

 Plane cubic curves. Gerbaldi, F. Palermo 



Cir. Mt. Ed. 7 (1893) 19-. 

 Quadratic forms, reduction, with proof of See- 



ber's theorem on reduced ternary forms. 



Lebesgue, V. A. Liouv. J. Mth. 1 (1856) 



Eesultant of three ternary quadratic forms. 

 Cayley, A. Crelle J. 57 (1860) 139-. 



Ternary Forms 2060 



Eesultant of three ternary quadratic forms. 



Hermite, C. Crelle J. 57 (1860) 371-. 

 . Radan, R. N. A. Mth. 8 



(1869) 358-. 

 . Gordan, P. Liouv. J. Mth. 



3 (1897) 195-. 

 Eesultants of ternary forms. Gordan, P. 



Mth. A. 50 (1898) 113-. 

 Ternariants, algebraically complete systems. 



Forsyth, A. R. Am. J. Mth. 12 (1890) 1-, 



115-. 

 Ternary cubic form. Tanner, H. W. L. L. 



Mth. S. P. 27 (1896) 187 -. 



, resolution into factors, conditions. 

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

 272-. 



, linear factors. Spottiswoode, 



W. QJ. Mth. 7 (1866) 281-. 

 , 3 linear factors, conditions. 



Brioschi, F. A. Mt. 7 (1876) 189-. 



, transformation to canonic form. 

 Spottiswoode, W. [1863] Crelle J. 63 (1864) 

 244-. 



, . Brioschi, F. C. E. 81 



(1875) 590-. 



forms. Cayley, A. Camb. and Dubl. 

 Mth. J. 1 (1846) 97-. 



. Aronhold, S. H. Crelle J. 39 (1850) 



140- ; 55 (1858) 97-. 

 . Hermite, C. Liouv. J. Mth. 3 



(1858) 37-. 



. Brioschi, F. C. E. 56 (1863) 304-. 



. Clebsch, R. F. A., <& Gordan, P. 



[1868] Mth. A. 1 (1869) 56-. 

 . Gundelfinger, S. Mth. A. 4 (1871) 



144-. 

 . Clebsch, R. F. A., & Gordan, P. 



Mth. A. 6 (1873) 436-. 

 arising from division of circle. Eisen- 



stein, G. Crelle J. 28 (1844) 289- ; 29 (1845) 



19-. 

 , canonic transformation, property of 



parameter. Brioschi, F. L. Mth. S. P. 12 



(1880-81) 58-. 



, relation between 2. Cayley, A. 

 Ph. Mg. 20 (1860) 512-. 



, theory. Harnack, A. Mth. A. 9 



(1876) 218-. 



and quartic forms. Hesse, L. 0. Crelle 



J. 41 (1851) 285-. 



definite forms. Hilbert, D. Acta Mth. 17 



form, conditions of decomposition. Hada- 

 mard, . Bordeaux S. Sc. PV. (1896-97) 

 100-. 



, representation by linear combination of 



2 others. Bertini, E. Mil. I. Lomb. Ed. 

 24 (1891) 1095-. 



forms. Eisenstein, G. Liouv. J. Mth. 17 

 (1852) 473-. 



. Simerka, W. Wien SB. 38 (1859) 390-. 



. Brioschi, F. A. Mt. 15 (1887-88) 



235-. 

 , any degree. Battaglini, G. Nap. At. 



Ac. 4 (1869) (No. 3) 38 pp. 



and Aronhold's invariants. Sylvester, 

 J. J. Ph. Mg. 5 (1853) 299-, 367-. 



154 



