7240 



Quadric Surfaces. Ellipsoid. Equations 



7240 



Contacts, problems, two. Mertem, F. Z. Mth. 



Ps. 25 (1880) 156-. 

 : quadric having double contact with two 



given quadrics. Dixon, A. C. QJ. Mth. 26 



(1893) 207-. 



of quadrics, 2. Carvallo, E. N. A. Mth. 9 

 (1890) 586-. 



with cones. Livet, . Par. EC. Pol. 



Cor. 1 (1804-08) 75-. 

 . Gamier, J. G. Quetelet Cor. 



Mth. 2 (1826) 17-. 

 and conies, enumeration. Sylvester, 



J. J. Ph. Mg. 1 (1851) 119- ; 7 (1854) 331-. 



, criteria of Monge and Chasles. 

 Hube, K. (vi Adds.) Krk. Koczn. Uniwers. 

 14 (1831) 189-. 



: spheres having double contact with quadrics. 



Servais, C. Brux. Ac. Bll. 26 (1893) 91-. 

 : tangent cone cutting two segments homo- 



graphically, locus of vertex. Mathews, G. B. 



QJ. Mth. 28 (1896) 190-. 

 Cubature, elementary, of quadrics. Schlomilch, 



0. Grunert Arch. 14 (1850) 154-. 

 Denomination, new, of quadrics. Flauti, V. 



Nap. Rd. 1 (1842) 110-. 



Developable quadrics through points, genera- 

 tion. Zimmermann, H. E. M. 0. Z. Mth. 



Ps. 28 (1883) 255-. 

 Diameters, general theorems. Chasles, M. 



Quetelet Cor. Mth. 6 (1830) 255-. 

 , 3 perpendicular, properties. Tillot [Tillol], 



J. Toul. Mm. Ac. 6 (1862) 365-. 

 , , sum of inverse square. Anon, (vi 



561) Gergonne A. Mth. 18 (1827-28) 368-. 

 , principal and conjugate. Hachette, J. N. P. 



Par. S. Phlm. Bll. 3 (1813) 310-. 

 , semi-. Bobillier, . Gergonne A. Mth. 



19 (1828-29) 249-. 

 Diametral planes. Cayley, A. Camb. and 



Dubl. Mth. J. 1 (1846) 274-. 



. Biehler, C. N. A. Mth. 8 (1889) 247-. 



of hyperboloid. Tesch, J. W. N. Arch. 



Wisk. 1 (*1875) 194-. 

 , theory. Transon, (Prof.) A. N. A. 



Mth. 19 (1860) 182-. 

 Director sphere and connected theorems. 



Bobillier, . Gergonne A. Mth. 18 (1827- 



28) 230-. 



Ellipsoid. 



Courtois, f N. A. Mth. 2 (1843) 90-. 



Michaelis, J. P. (via) Liege Mm. S. Sc. 18 

 (1863) 351-. 



apparent size from any point of space. Schwarz , 

 C.H.A. Gott. Nr. (1883) 39-. 



central, and principal axes. Mylord, H. (xn) 

 Ts. Mth. 5 (1869) 167-. 



conjugate diameters. Gergonne, J. D. Ger- 

 gonne A. Mth. 5 (1814-15) 29-. 



, equal. Gergonne, J. D. Gergonne A. 



Mth. 12 (1821-22) 157-. 



planes. Dahlander, G. R. Stockh. Ofv. 

 15 (1858) 207-. 



construction by 2 sliding spheres. Hamilton, 

 (Sir) W. E. Ir. Ac. P. 4 (1850) 341-. 



and tangent planes. Gudermann, C. Crelle 

 J. 42 (1852) 282. 



contact boundary with 3 planes. Pelletreau, 



. As. Fr. C. E. (1888) (Pt. 2) 103-. 

 , determination of curve. Plarr, 



G. Edinb. E. S. T. 33 (1888) 465-; 35 



(1890) 471-. 

 description by point in line. Booth, J. Ph. 



Mg. 21 (1842) 176-, 444-. 

 diameters. Chasles, M. Par. EC. Pol. Cor. 3 



(1814-16) 302-. 

 elongated, area. Peyronny, A. N. A. Mth. 3 



(1844) 466-. 

 length and breadth, and reduced length and 



breadth. Grunert, J. A. Grunert Arch. 36 



(1861) 79-. 



mean radius. Schlomilch, 0. Leip. B. 11 



(1859) 87-. 

 minimum volume with area of several central 



sections given. Borchardt, C. W. Berl. Mb. 



(1872) 505-. 

 projection, stereographic. Grunert, J. A. As. 



Nr. 40 (1855) 297-. 

 properties. Weddle, T. Camb. and Dubl. 



Mth. J. 2 (1847) 13-. 

 property. Gilbert, L. P. (xn) Mathesis 3 



(1883) 238-. 

 space-locus connected with. Glaisher, J. W. L. 



QJ. Mth. 16 (1879) 283-. 

 and sphere, Dirichlet's problem. Bjerknes, 



C. A. Gott. Nr. (1873) 439-. 

 sphere of surface most similar to given ellipsoid, 



radius. Anon. [?Lindenait, B. von.~\ (vi 



1307) Zach M. Cor. 16 (1807) 424-. 

 spheres, osculating, of ellipsoids of revolution. 



Mugnaini, E. G. Mt. 16 (1878) 270-. 

 and spheres, theorems. Kilbinger, . Ens. 



Mth. 2 (1900) 196-. 

 spherical trigonometrical formula. Grunert, 



J. A. Grunert Arch. 10 (1847) 156-. 

 surface, geometry. Clifford, W. K. [1872] 



L. Mth. S. P. 4 (1871-73) 215-. 

 thread-construction. Staude, E. O. Mth. A. 



20 (1882) 147-. 

 . Finsterwalder, S. Mth. A. 26 (1886) 



546-. 

 and 3 unequal axes. Olivier, T. Liouv. J. 



Mth. 3 (1838) 145-. 

 volume. Martus,H. Arch. Mth. Ps. 46 (1866) 



419-. 



Ellipsoidal regular polyhedra. Breton [de 



Champ], P. C. E. 27 (1848) 154-. 

 Elliptic cone. Enneper, A. Schlomilch Z. 7 



(1862) 354-. 



Equations of Quadrics. 

 (See also 2040 and 7200.) 



De Morgan, . [1832] Camb. Ph. S. T. 5 



(1835) 77-. 



Kitchener, F.E. (m) Mess. Mth. 2 (1864) 175-. 

 Axes, equations. Pliicker, J. Crelle J. 24 



(1842) 60-, 283-. 

 , lengths in tetrahedral coordinates. Ferrers, 



N. M. QJ. Mth. 4 (1861) 140-. 

 of plane section in oblique coordinates. 



Forney, E. N. A. Mth. 8 (1889) 88-. 



504 



