2440 Graphical methods 



Geometric solution. Corancez, . Par. J. EC. 



Pol. 10 (1815) (17 e cah.) 212-. 

 . Lalanne, L. L. C. C. E. 87 (1878) 



157-. 



solutions by means of conic or higher curves. 

 Bucca, F. Palermo Cir. Mt. Ed. 14 (1900) 

 126-. 



Graphic solution. Lill, E. C. E. 65 (1867) 

 854-; Les Mondes 16 (1868) 325-. 



. Hammer, E. Giving. 31 (1885) 275-. 



. Reuschle, C. Z. Mth. Ps. 31 (1886) 12-. 



. Mehmke, E. Giving. 35 (1889) 617-. 



Imaginary roots, geometric construction. 

 Ettingshausen, A. van. Wien SB. (1850) 

 (Ab. 2) 119-. 



, . Scheffler, H. Grunert Arch. 15 



(1850) 375-. 



2nd order, graphic solution. Davis, R. F. 



Mess. Mth. 5 (1876) 17-. 

 3rd order, geometric constructions involving. 



London, F. D. Mth. Vr. Jbr. 4 (1897) 163-. 

 , solution, and properties. Paucker, 



M. G. von. St. Pet. Ac. Sc. Mm. 10 (1821- 



22) 159-. 

 , graphic solution. Monge, G. Par. EC. 



Pol. Cor. 3 (1814-16) 201-. 

 , . Phillips, A. W. Des Moines 



Anal. 1 (1874) 113-. 

 , . Solin,J. Prag. 8b.(1886) (JftA.- 



Nt.) 6-. 



, hydrostatical solution. Dema.net, . 

 Mathesis 18 (1898) 81-. 



, solution by parabola. Gergonne, J. D. 



Gergonne A. Mth. 9 (1818-19) 204-. 



or 4th order, construction of imaginary roots 

 by means of a fixed parabola. Hoppe,E. Arch. 

 Mth. Ps. 69 (1883) 216-. 



, real roots by means of a 



fixed parabola. Hoppe, R. Arch. Mth. Ps. 

 56 (1874] 110-. 



and 4th orders, mechanical and graphic 

 solution. Bartl, C. Arch. Mth. Ps. 1 (1884) 



4th order, construction of roots. Gerono, G. C. 



N. A. Mth. 3 (1844) 533-. 

 , by intersection of parabola and 



circle. Vieille, J. N. A. Mth. 16 (1857) 453-. 

 , geometric solution. Hofmann, F. N. A. 



Mth. 7 (1888) 120-. 



, graphic solution. Mathews, G. B. 

 [1899] Nt. 61 (1899-1900) 55. 



, interpreted by parabola. Heppel, G. 



L. Mth. S/P. 22 (1891) 416-. 

 Higher order. Spitzer, S. Haidinger Ab. 4 



(1851) (Ab. 3) 1-; Grunert Arch. 22 (1854) 



Eeal roots, mechanical means for obtaining. 



Williams-Ellis, J. C. [1873] Camb. Ph. S. 



P. 2 (1876) 317. 

 Solution by hyperbolas. Hinton, C. H. N. Y. 



Am. Mth. S. Bll. 3 (1897) 309-. 

 logarithmic coordinates. Nijland, A. A. 



N. Arch. Wisk. 19 (1892) 35-; Fschr. Mth. 



(1892) 104-. 

 Trinomial equations, solution by aid of cubo- 



cycloid x* + * = \$. Montucci, H. C. B. 



General resolution 2450 



2450 General resolution of equa- 

 tions; theory of Galois. (See 

 also 1210.) 



Svanberg, J. Ups. N. Acta S. Sc. 10 (1832) 



289-. 



Murphy, R. Camb. Ph. S. T. 4 (1833) 125-. 

 Cauchy, A. L. C. E. 4 (1837) 362-. 

 Lubbock, J. W. Ph. Mg. 15 (1839) 165-. 

 Casinelli, A. (s. L.). Bologna N. Cm. 5 (1842) 



65-, 433- ; 6 (1844) 391- ; 7 (1844) 509-. 

 Malmsten, C. J. Stockh. Ofv. 2 (1845) 226-; 



Crelle J. 34 (1847) 46-. 

 Badano, G. (n Adds.) Majocchi A. Fis. C. 



24 (1846) 111-. 



Betti, E. Tortolini A. 3 (1852) 49-. 

 Wetter, A. Grunert Arch. 18 (1852) 194-. 

 Betti, E. Tortolini A. 5 (1854) 10-. 

 Cauchy, A. L. C. E. 38 (1854) 1104-. 

 Betti, E. QJ. Mth. 1 (1857) 91-. 

 Cauchy, A. L. C. E. 44 (1857) 268-. 

 Lobatto, R. Amst. Vs. Ak. 7 (1858) 335-. 

 Borden, J. Camb. (M.) Mth. M. 1 (1859) 373-. 

 Gyory, S. (xn) Mag. Ak. Ets. (Mth. Term.) 3 



(1862) 101-. 



Cockle, (Sir) J. (vn) Ph. Mg. 26 (1863) 223-. 

 Guldberg, A. S. (xn) Ts. Mth. 2 (1866) 167-. 

 Mainardi, G. Em. At. N. Line. 20 (1867) 



160-. 

 Kirkman, T. P. Manch. Lt. Ph. S. P. 7 (1868) 



141-, 221- ; Ph. Mg. 36 (1868) 169-, 264-. 

 Jablonowski, N. Les Mondes 42 (1877) 629-. 

 Meyer, F. Mth. A. 33 (1889) 511-. 

 Abelian equations. Kronecker, L. Berl. Ak. 



Mb. (1877) 845-. 



. Netto, E. Mth. A. 18 (1881) 247-. 



. Pellet, A. C. E. 112 (1891) 1196-, 1249-. 



.class. Igel,B. Wien Ak. D. 45 (1882) 



(Ab. 2) 373-. 

 roots. Hermite, C. Crelle J. 32 (1846) 



277-. 

 , theorems. Abel, N. H. N. A. Mth. 4 



(1845) 536-. 

 , theory. Schwering, K. Crelle J. Mth. 



93 (1882) 334-. 



--,-(s- 



(Schwering). Kronecker, L. Crelle 



J. Mth. 93 (1882) 338-. 

 -- , . Netto, E. Mth. A. 42 (1893) 436-. 

 -- , 3rd order of region (V-31). Kronecker, 



L. Berl. Ak. Sb. (1882) 1151-. 

 -- , 6th order, soluble by aid of equation of 



4th order. Weist, M. Arch. Mth. Ps. 68 



(1882) 304-. 

 Abel's theorems. West, E. C. E. 91 (1880) 



759-. 

 theory concerning equations above 4th order. 



Hamilton, (Sir) W. R. [1837] Ir. Ac. T. 18 



(1838) 171-. 



Cockle, Jas. QJ. Mth. 



5 (1862) 130-. 

 Algebraic a 



(1869) 525-, 757. 



lgebraic and differential equations with re- 

 lations between roots. Libri, G. [1830] 

 Crelle J. 10 (1833) 167-. 



solubility of equations. Krey, H. Z. Mth. 

 Ps. 15 (1870) 381-. 



178 



