2430 



Equations, 4th order, continued. 



solution. Anon, (vi 1231) Tilloch Ph. Mg. 



52 (1818) 378-. 

 . Greatheed, S. S. [ascribed to Gregory, 



D. F., in vol. m]. Camb. Mth. J. 1 (1839) 



254-. 



. Graves, C. Ir. Ac. P. 3 (1847) 111-. 

 . Peche, F. Haidinger B. 3 (1847) 19-. 

 . Grunert, J. A., & Schlesicke, W. Grunert 



Arch. 12 (1849) 166-. 

 . Lindman, C. F. Grunert Arch. 23 (1854) 



435-. 



. Armhold, S. H. Crelle J. 52 (1856) 95-. 

 . Grunert, J. A. Grunert Arch. 31 (1858) 



476-. 



. Hermite, C. C. E. 46 (1858) 715-. 

 . Spitz, C. Grunert Arch. 33 (1859) 442-. 

 . Schlomilch, 0. Schlomilch Z. 6 (1861) 



49-; Liouv. J. Mth. 8 (1863) 99-. 

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



133-, 140- ; Arch. Mth. Ps. 41 (1864) 231-. 

 . Bellavitis, G. N. A. Mth. 3 (1864) 



121-. 

 . Darboux, G. Liouv. J. Mth. 18 (1873) 



220-. 

 . Dixon, T. S. E. Am. J. Mth. 1 (1878) 



283-. 



. Briot, F. N. A. Mth. 20 (1881) 225-. 

 . Borenius, G. [1882-83] Helsingf. Acta 12 



(1883) 653- ; Stockh. Ak. Hndl. Bh. 9 (1884- 



85) No. 4, 18 pp. 



. Sawin, A. M. A. Mth. 1 (1884-85) 14. 

 . Eastorguev, D. Kazan S. Nt. (Ps.-Mth.) 



P. 4 (1886) 236-. 

 . McClintock, E. N. Y. Am. Mth. S. fill. 



3(1897)389-; 4(1898)283. 

 . Starkweather, G. P. N. Y. Am. Mth. S. 



fill. 4 (1898) 524-. 

 . Valentiner, H. N. Ts. Mth. 9 (B) (1898) 



36-. 

 , Ampere's. Grunert, J. A. Grunert Arch. 



1 (1841) 16-. 



by elliptic functions. Lebesgue, V. A. 

 Liouv. J. Mth. 3 (1858) 391-. 



, Euler's. Strehlke, F. Crelle J. 12 (1834) 



358-. 

 , general. Schlesicke, W. Grunert Arch. 16 



(1851) 58-. 

 , . Grunert, J. A. Grunert Arch. 40 



1863) 394-. 

 , . Nett, A. M. Arch. Mth. Ps. 56 (1874) 



407-. 



by homographic relation between roots. 

 Imseneckij, V. G. Kharkov Mth. S. Com. 3 

 (1893) 257- ; Fschr. Mth. (1893-94) 153. 



, method, and application to equations of 



higher orders. Perrin, R. Par. S. Mth. Bll. 



10 (1882) 139-. 

 , Schloemilch's. Meyer, G. F. Grunert 



Arch. 39 (1862) 230-. 

 , and some algebraic theorems. Hermite, C. 



C. E. 46 (1858) 961-. 



without removal of 2nd term. Grunert, J. A. 

 Grunert Arch. 39 (1862) 198-. 



, Wronski's. Gergonne, J. D. Gergonne A. 



Mth. 3 (1812-13) 137-, 206-. 

 solutions, various. Dippe, M. C. Grunert 



Arch. 7 (1846) 334-. 



Equations of the lower orders, etc. 



2430 



and Sturm's theorem. Kanig, J. F. Grunert 



Arch. 34 (I860) 101-. 

 trigonometric expressions for roots. Bjorling, 



E. G. Stockh. Ofv. 7 (1850) 233-; Grunert 



Arch. 19 (1852) 297-. 

 solution. Oekinghaus, E. Arch. Mth. Ps. 



70 (1884) 133-. 



Equations, order above 4th, solution in par- 

 ticular cases. Ruffini, P. [18011 Mod. S. It. 



Mm. 9 (1802) 444-. 

 of nth order with only 2 real roots. Andre, 



D. C. E. 98 (1884) 417-. 

 . Sylvester, J. J. 



C. E. 98 (1884) 550-. 

 Irrationality J (a + *Jb). Azzarelli, M. Em. 



N. Line. At. 38 (1885) 227-. 

 Particular equations of various orders, solu- 

 tion. Stem, A. Mth. Ts. 2 (1860) 45-. 

 Planets, mutual distance of 2, roots of equation 



obtained by equating to zero. Cauchy, A. L. 



C. E. 19 (1844) 1228-. 

 "Problem of the lights." Parker, W. H. 



Camb. (M.) Mth. M. 1 (1859) 160-. 

 (Parker). Runkle, J. D. Camb. 



(M.) Mth. M. 1 (1859) 178-. 

 Eeciprocal equations. Gamier, J. G. Quetelet 



Cor. Mth. 2 (1826) 153-. 

 . Comberousse, C. de. N. A. Mth. 8 (1889) 



27-. 



. Gianni, L. G. Mt. 30 (1892) 206-. 



and equations of 4th order. Pellet, A.E. 



N. A. Mth. 13 (1894) 108-. 

 , equations reducible to. Fischer, F. W. 



Arch. Mth. Ps. 55 (1873) 294-. 

 , lowering degree of. Biehler, C. N. A. 



Mth. 6 (1887) 251-. 

 , theory. Vogt, A. Arch. Mth. Ps. 44 



(1865) 50-. 

 , . Studnidka, F. J. Casopis 19 (1890) 



1-; Fschr. Mth. (1890) 110-. 

 Eesol vents, first, of equation of 4th order 



and of equation of 3rd order 



ay 3 + 3by 2 + Bey + m = 0. 



Rawson, R. Manch. Lt. Ph. S. P. 20 (1881) 



144-. 

 Eoots of equation x* + 2 = 0. Terquem, 0. N. 



A. Mth. 4 (1845) 518-. 

 "Eule of false" of the Arabians, and direct 



solution of literal equations of 2nd and 3rd 



orders. Matthiessen, L. Z. Mth. Ps. 15 



(1870) 41-. 

 " " and equations of 2nd order. 



Castro, M. Mex. Eeg. Trim. 1 (1832) 



125-. 

 Trigonometrical solution of certain equations. 



Pellet, A. As. Fr. C. E. (1889) (Ft. 2) 



164-. 



Trinomial Equations. 



Marrecas Ferreira, L. F. G. Teix. J. Sc. 5 



(*1883) 50-. 

 Catalan, E. Brux. Ac. Bll. 13 (1887) 414-. 



173 



