2430 Equations, 3rd order 



Equations, 2nd, 3rd and 4tth orders. 



applications of theory of forms. Tortolini, B. 



Tortolini A. 6 (1855) 433-. 

 with complex coefficients. Denzler, W. Ziir. 



Vjschr. 4 (1859) 37-. 



rational roots. Sinram, T. Arch. Mth. Ps. 

 66 (1881) 94-. 



root-forms, general. Matthiessen, H. F. L. 



Z. Mth. Ps. 24 (1879) 32-. 

 solution. Machmcetz, J. Bohm. Gs. Ab. 12 



(1863) 325-. 

 . Matthiessen, L. Schlomilch Z. 8 (1863) 



133-. 

 . Sinram, T. Arch. Mth. Ps. 64 (1879) 



296-. 

 . Ravut, . As. Fr. C. E. (1894) (Pt. 2) 



285-. 



by function r(x). Guldberg, A. S. Chris- 

 tiania F. 14 (1872) 144-. 



symmetric solutions. Levanen, S, Helsingf. 



Acta 19 (1893) No. 9, 14 pp. 

 trigonometric solution. Cagnoli, . N. A. 



Mth. 9 (1850) 374-. 



Equations, 3rd order. 



Homer, W. G. Thomson A. Ph. 9 (1817) 378-. 

 Grunert, J. A. Grunert Arch. 5 (1844) 417- ; 



6 (1845) 1-, 428-. 



Lebesgue, V. A. N. A. Mth. 8 (1849) 219-. 

 Grunert, J. A. Grunert Arch. 22 (1854) 347- ; 



30 (1858) 231-. 



Catalan, E. C. C. B. 54 (1862) 659-. 

 Eisenlohr, F. C. K. 55 (1862) 64-. 

 Fame, H. N. A. Mth. 3 (1864) 116-. 

 Sivering, J. N. A. Mth. 5 (1866) 356-. 

 D g. Ts. Mt. Fys. 2 (1869) 19-. 

 Laguerre, . N. A. Mth. 9 (1870) 343-. 

 Le Besgue, V. A. N. A. Mth. 9 (1870) 529-. 

 Andre, D. N. A. Mth. 14 (1875) 556-. 

 Liebrecht, E. Arch. Mth. Ps. 59 (1876) 217. 

 Barbour, L. G. Des Moines Anal. 5 (1878) 73-. 

 Eealis, S. N. A. Mth. 17 (1878) 178-. 

 Sinram, T. Arch. Mth. Ps. 68 (1882) 106-. 

 Barbour, L. G. Des Moines Anal. 10 (1883) 



115-. 



Sawin, A. M. Science 2 (*1883) 44. 

 Cayley, A. Mess. Mth. 15 (1886) 62-. 

 Giudice, F. Bv. Mt. 3 (1893) 146-. 

 Sidler, G. Bern Mt. (1898) 57-. 

 Sochocki, J. Wiad. Mt. 3 (1899) 119- ; Fschr. 



Mth. (1899) 102-. 

 automorphic transformation. Aubry, A. N. 



A. Mth. 6 (1887) 175-. 

 Cardan's formula. Grunert, J. A. Grunert 



Arch. 40 (1863) 246-. 

 . Bouniakowsky, V. Crelle J. 3 (1828) 



347-. 

 , expansion in series for irreducible case. 



VoU, W. Oken Isis (1826) 678-. 

 generalised. Miiller, J. H. T. Grunert 



Arch. 22 (1854) 16-. 

 (Halcken). Grunert, J. A. Grunert 



Arch. 14 (1850) 132-. 

 , historic note. Forestier, C. Toul. Ac. 



Sc. Mm. 6 (1874) 254-. 



Equations, 3rd order 2430 



Cardan's formula, imaginaries in. Bernardi, 



G. Padova N. Sag. 3 (1831) 184-. 

 , transformations. Berndtson, B. Stockh. 



Ac. Hndl. 36 (1815) 183-. 

 rule, and general solution of equations. 



Gyory,S. (xn) Mag. Ak. Ets. (Mth. Term.) 



2 (1861-62) 81-. 

 , new deduction. Szokol, P. (xn) Orv. 



Term. fits. 8 (1883) (Term. Szak) 273-. 

 Chasles's homography, problem. Hesse, L. 0. 



[1862] Crelle J. 62 (1863) 188-. 

 and Delian problem ; trisection of an angle. 



Nissen, H. N. Ts. Mth. 1 (A) (1890) 2-, 40 ; 



Fschr. Mth. (1890) 111-. 

 equation for squared differences of roots. 



Cayley, A. QJ. Mth. 3 (1860) 307-. 

 expression for remaining roots. Young, J. R. 



Ph. Mg. 34 (1849) 193-. 

 extension of theorem of Grunert's. Toeplitz, J. 



Grunert Arch. 31 (1858) 222-. 

 general. Stainville, de. Gergonne A. Mth. 



9 (1818-19) 197-. 

 . Borden, J. Des Moines Anal. 5 (1878) 



110-. 

 geometric representation. Thiele, T. N. Ts. 



Mth. 2 (1884) 11- ; Fschr. Mth. (1884) 86. 

 giving principal planes of conicoids, etc. Hum- 

 bert, E. As. Fr. C. B. (1888) (Pt. 2) 145-. 

 and higher, solution. Kulik, J. N. Bohm. 



Gs. Ab. 11 (1861) 21-. 

 integral roots. Eealis, S. N. A. Mth. 14 



(1875) 289-, 424-. 

 Kramp's treatment. Miiller, J. H. T. Grunert 



Arch. 8 (1846) 107-. 

 literal, limits of roots. Rees, R. van. Quetelet 



Cor. Mth. 5 (1829) 30-. 

 for principal axes of quadric surface. Kummer, 



E. E. G. Arcad. 98 (1844) 71-. 

 , condition for 2 equal roots. 



Jacobi, C. G. J. G. Arcad. 99 (1844) 3-. 

 problem of Tortolini. Matthiessen, L. Arch. 



Mth. Ps. 47 (1867) 460-. 

 with rational coefficients. Kronecker, L. Crelle 



J. 56 (1859) 188-. 

 rational roots. Liebrecht, E. Arch. Mth. Ps. 



60 (1877) 216-. 

 real roots. Sawin, A. M. Science 2 (*1883) 



158-. 

 reality of roots. Roche, E. N. A. Mth. 1 



(1842) 511-. 



. Tarnier,. N. A. Mth. 3 (1844) 161-. 



relations between roots of certain. Berger, A. 



Ups. S. Sc. N. Acta 18 (1900) No. 3, 14 pp. 

 residual. Bouniakmvsky, V. St Pet. Ac. Sc. 



Mm. 2 (1833) 373-; 3 (1838) 13-. 

 roots. Barbarin, . As. Fr. C. B. (1887) 



(Pt. 2) 126-. 

 , criteria. Kerz, F. Arch. Mth. Ps. 41 



(1864) 68-; 42 (1864) 121- ; 44 (1865) 1-, 



129-, 379-; 45 (1866) 14-; 47 (1867) 363-. 

 of which are the sides of a triangle. Zbi- 



kovskij, A. K. Kazan S. Nt. (Ps.-Mth.) P. 5 



(1887) 182- ; Fschr. Mth. (1887) 78. 

 solution. Meredith, T. [1791] Ir. Ac. T. 7 



(1800) 69-. 

 . Ivory, J. [1799] Edinb. B. S. T. 5 (1805) 



99-. 



170 



