2050 Quantics 



Eeducibility of every quadratic form to sum of 



n squares. Sylvester, J. J. (vi Adds.) Ph. 



Mg. 4 (1852) 138-. 

 Representation of definite forms as sums of 



squares. Hilbert, D. Mth. A. 32 (1888) 342-. 

 Reproduction of forms. Poincare, H. C. R. 



97 (1883) 949-. 

 Resolution into linear factors. Walker, J. J. 



QJ. Mth. 6 (1864) 328-. 

 of a form of mth order and nth 



degree. Schendel, L. Z. Mth. Ps. 32 (1887) 



83-. 

 Roots of solvable quantics as symmetric 



functions of homologues. Kummell, C. H. 



Am. J. Mth. 18 (1896) 74-. 

 Secondary invariants. Rogers, L. J. L. Mth. 



S. P. 20 (1889) 161-. 

 Semi-combinants as concomitants of affiliants. 



White, H. S. Am. J. Mth. 17 (1895) 235-. 

 Seminvariants. Petr, K. Prag Cesk6 Ak. Fr. 



Jos. Rz. (Tftda 2) 6 (1897) Art. 38, 22 pp.; 



Fschr. Mth. (1897) 108. 

 , generalisation. Deruyts, J. Brux. Mm. 



Cour. 4, 51 (1889) No. 8, 20 pp. 

 Symbolic invariants in general theory of 



algebraic forms, relations. Pascal, E. Rm. 



R. Ac. Line. Mm. 5 (1888) 375-. 

 Systems, finite, of forms in theory of rational 



functions. Kdnig, J. [1880?] Mth. A. 18 



(1881) 69-. 

 Syzygetic relations among powers of linear 



quantics. Clifford, W. K. [1869] L. Mth. 



S. P. 3 (1869-71) 9-. 

 , Clifford's paper. Cayley, 



A. [1891] L. Mth. S. P. 23 (1892) 99-. 

 Syzygies. Cayley, A. (xn) J. H. Un. Cir. 



[2] (1883) 150. 

 , irreducible, of quantics, tables. Sylvester, 



J. J. Am. J. Mth. 4 (1881) 41-. 

 among perpetuants, expression by means of 



n"tions. MacMahon, (Capt.) P. A. Am. 

 th. 10 (1888) 149-. 



Transformation principle of Clebsch, and appli- 

 cation. Gundelfinger, S. [1872] Mth. A. 6 

 (1873) 16-. 



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

 [1881] C. R. 92 (1881) 1048-, 1103- ; 93 



(1881) 264-, 509- ; Rm. N. Line. At. 35 



(1882) 140-. 



, a system of two. Le Paige, C. M. M. 



H. H. Rm. N. Line. At. 35 (1882) 54-. 

 Universal invariants. Eabut, . C. R. 115 



(1892) 926-, 1028. 

 Variables of different kinds, forms in several 



series. Deruyts, J. Brux. Ac. fill. 28 (1894) 



157-. 



2050 Binary Forms. 



Absolute invariant and covariants of a bi- 

 quadratic form, geometrical representation. 

 Lacour, . N. A. Mth. 17 (1898) 341-. 



Algebraic forms, theorem, with application to 

 binary sextic. Ovidio, E. d'. Palermo Cir. 

 Mt. Rd. 6 (1892) 225-. 



Anharmonic ratio and absolute invariant of 

 biquadratic. Wedekind, L. Mth. A. 17 

 (1880) 1-. 



Binary Forms 2050 



Apolarity, applications of principle. Igel, B. 



Wien Ak. Sb. 92 (18861 (Ab. 2) 1153-. 

 Asyzygetic covariants of the third degree of a 



binary form. Stroh, E. Mth. A. 31 (1888) 



444-. 



Binary cubic form, automorphic transforma- 

 tion. Cayley, A. L. Mth. S. P. 14 (1883) 



103-. 

 , geometrical representation. Ger- 



baldi, . Palermo Cir. Mt. Rd. 3 (1889) 



276-. 

 , relations between roots and those of 



first covariants. Mainardi, G. Rm. At. N. 



Line. 26 (1873) 391-. 

 forms. Eisenstein, G. Crelle J. 27 



(1844) 89*. 

 . Arndt, F. Grunert Arch. 17 (1851) 



1- ; Crelle J. 53 (1857) 309-. 

 . Hermite, C. QJ. Mth. 1 (1857) 



20-. 

 . Cayley, A., d- Hermite, . QJ. 



Mth. 1 (1857) 85-. 

 . Battaglini, G. Nap. Rd. 3 (1864) 



109-, 163-. 

 . Hermite, C. Crelle J. 63 (1864) 



30-. 

 . Beltrami, E. Bologna Ac. Sc. Mm. 



. Brioschi, F. [1876] Mth. A. 11 



(1877) 111-. 

 . Tannery, J. Bll. Sc. Mth. As. 1 



(1877) (Pt. 1) 260-. 

 . Pepin, T. Rm. N. Line. At. 37 



(1884) 227-. 

 , classification. Pepin, T. Rm. N. 



Line. At. 39 (1886) 23-. 



, complete form-system for three. 

 Gall, (Frhr.) von. Mth. A. 45 (1894) 

 207-. 



, geometrical application. Torelli, G. 



G. Mt. 24 (1886) 270-. 

 , interpretation. Retail, V. Palermo 



Cir. Mt. Rd. 2 (1888) 25-. 

 , representation of system of two, 



and their associated forms. Roberts, W. R. W. 



[1881] L. Mth. S. P. 13 (1881-82) 16-. 

 , imaginary elements. Pittarelli, G. 



G. Mt. 23 (1885) 368-. 

 , reduction. Hermite, C. C. R. 48 



(1859) 351-. 

 , simultaneous. Clebsch, R. F. A. 



Crelle J. 67 (1867) 360-. 

 , system of two. Gundelfinger, S. 



Mth. A. 7 (1874) 452-. 

 , . Gerbaldi, F. G. Mt. 



17 (1879) 373-. 

 , three. Igel, B. Wien Ak. 



D. 49 (1885) (Ab. 2) 277-. 

 , system of two. Caporali, E. Nap. 



Rd. 22 (1883) 95-. 

 , . Mollo, C. G. Mt. 28 



(1890) 330-. 

 , several. Torelli, G. Nap. Rd. 



24 (1885) 258-. 



, geometrical representation. Gerbaldi, 

 . Palermo Cir. Mt. Rd. 3 (1889) 276-. 



and quartic forms, geometry. Newson, 



H. B. [1893] Kan. Un. Q. 2 (1894) 85-. 



146 



