2430 Equations, 3rd order 



solution. Berndtson,B. Stockh. Ac. Hndl. 27 



(1806)269-; 28(1807) 72-. 

 . Cockle, Jas. Camb. Mth. J. 2 (1841) 248-; 



3 (1843) 28-. 

 . Bretschneider, C. A. Grunert Arch. 4 



(1844) 410-. 

 . Dippe, M. C. Grunert Arch. 7 (1846) 



149-. 

 . Schlesicke, W. Grunert Arch. 11 (1848) 



345-. 

 . Rutherford, W. Mathematician 3 (1850) 



257-. 

 . Campbell, T. J. Ir. Ac. P. 6 (1853-54) 



352-. 

 . Azzarelli, M. Tortolini A. 6 (1855) 



467-. 



. Spitz, C. Grunert Arch. 32 (1859) 435-. 

 . Veriot, E. C. B. 60 (1865) 556-. 

 . Talbot, W, H. F. Edinb. E. S. T. 24 



(1867) 573-. 

 . Thiele, T. N. (xn) Ts. Mth. 4 (1868) 



65-. 



. Alexandre, R. N. A. Mth. 9 (1870) 293-. 

 . Gundelfinger, S. [1870] Mth. A. 3 (1871) 



272-. 



. Dahl, C. (xn) Ts. Mth. 4 (1874) 135-. 

 . Azzarelli, M. Em. N. Line. At. 31 (1878) 



355-. 



. Scholtz, A. N. A. Mth. 20 (1881) 220-. 

 . Zurria, G. Catania Ac. Gioen. At. 8 



(1895) Mm. 3, 24 pp. 

 . Macfarlane, A. As. Fr. C. E. (1897) 



(Pt. 2) 147-. 

 . Pktkot, A. N. A. Mth. 18 (1899) 65-. 



by aid of a jointed system. Saint-Loup, L. 

 C. B. 79 (1874) 1323-. 



circular and hyperbolic functions. 

 Matzka, W. Grunert Arch. 37 (1861) 399-. 



, Cockle's. Cayley, A. Camb. and Dubl. 

 Mth. J. 6 (1851) 186. 



by differences of roots. Eisenlohr, 0. Crelle 

 J. 42 (1852) 236-. 



, expressions occurring in. Eisenstein, G. 



Crelle J. 27 (1844) 319-. 

 , formula for. Young, J. R. [1874] Ir. Ac. 



P. 2 (1875-77) 26-. 

 , general. Graves, J. T. (vi Adds.) Ph. 



Mg. 13 (1838) 217- 

 , , and irreducible case. Penny, W. G. 



Atlantis 3 (1860) 156-. 

 , Gierman's. Sintzow, D. Fschr. Mth. 



(1899) 102. 

 , indirect (Posselt). Encke, J. F. As. Nr. 



3 (1825) 395-. 



by introducing a perfect cube. Alexandre, R. 

 N. A. Mth. 5 (1866) 358-. 



Equations, 3rd order 2430 



solution when one root is known (Lobatto). 

 Serret, J. A. Liouv. J. Mth. 14 (1849) 47-. 



without removing 2nd term. Rutherford, W. 

 Mathematician 3 (1850) 180-. 



symmetries and irreducible case. Kummell, 



C. H. A. Mth. 6 (1891-92) 179-. 

 theorem. Prouhet, E. N. A. Mth. 11 (1852) 



324-. 

 theory. Oekinghaus, E. Arch. Mth. Ps. 3 



(1886) 92-. 

 , contribution to. Miiller, J. H. T. Grunert 



Arch. 25 (1855) 73-. 

 trigonometric expressions for roots. Bjorling, 



E. G. Stockh. Ofv. 7 (1850) 193- ; Grunert 



Arch. 19 (1852) 228-. 



solution. Demongeot, A. N. A. Mth. 20 

 (1861) 143-. 



. St Germain, A. de. N. A. Mth. 10 



(1871) 63-. 

 two. Cayley, A. Mess. Mth. 22 (1893) 69-. 



Irreducible case. 



Lorgna, A. M. Verona S. It. Mm. 1 (1782) 



707-. 

 Stainville, de. Par. EC. Pol. Cor. 3 (1814- 



16) 58-. 

 Gretschel, H. Arch. Mth. Ps. 42 (1864) 



431-. 



Meyer, J. Lux. S. Sc. Mm. 8 (1865) 359-. 

 Hermann, A. N. A. Mth. 6 (1867) 270-. 

 Unferdinger, F. Arch. Mth. Ps. 49 (1869) 



484-. 



Reidt, F. Z. Mth. Ps. 17 (1872) 430-. 

 Benthem, A. N. Arch. Wisk. 1 (*1875) 67-. 

 Privat, F. C. E. 103 (1886) 774. 

 Azzarelli, M. Em. N. Line. At. 40 (1887) 



67-. 



Mollame, V. Nap. Ed. 29 (1890) 167-. 

 Holder, O. Mth. A. 38 (1891) 307-. 

 Pokrowsky, P. M. Fschr. Mth. (1892) 95. 

 Gegenbauer, L. Mh. Mth. Ps. 4 (1893) 155-. 

 Kneser, A. Mth. A. 41 (1893) 344-. 

 Mollame, V. Nap. Ed. 34 (1895) 111-. 

 Hamilton, A. A. Mth. 1 (1900) 41-. 

 Cardan's formula, application of trigonometry. 



Zampieri, J. Arch. Mth. Ps. 41 (1864) 60-. 

 solution. Nordmark, Z. Ups. N. Acta S. Sc. 



6 (1799) 203-. 

 . Kendall, 0. H. Am. J. Mth. 1 (1878) 



285-. 

 .non-transcendental. Grunert, J. A. Grunert 



Arch. 30 (1858) 135-. 



when roots are all real, and at least one 

 is rational. Weichold, G. Liouv. J. Mth. 

 5 (1879) 293-. 



logarithm tables, &c. Veriot, E. C. E. without imaginaries. Peche, F. Haidinger 



66 (1868) 619-, 730-. 

 , peculiar algebraic. Miinster, E. N. Mg. 



Ntvd. 19 (1873) 23-. 

 , and roots in functions of discriminant 



of cubic. Mollame, V. G. Mt. 16 (1878) 



341-. 



by trigonometric and hyperbolic functions. 

 Gronau, J. F. W. Danzig Schr. 6 (Hft. 2 u. 3) 

 (1861) 68 pp. 



when one root is known. Lobatto, R. Liouv. 

 J. Mth. 9 (1844) 177-. 



Ab. 4 (1851) (Ab. 3) 125-. 

 series. Boot extraction. Valz, B. C. E. 



58 (1864) 1186-. 

 treatment, Clausen's. Meyer, G. F. Grunert 



Arch. 39 (1862) 235-. 



Equations, 3rd and 4th orders. 



Franke, E. [1880] Crelle J. Mth. 90 (1881) 



102-. 

 Halpten, G. H. N. A. Mth. 4 (1885) 17-. 



171 



