7240 Quadric Surfaces. Inscribed Figures. 



Intersections 7240 



Hexagon and hyperboloid of revolution. Dande- 

 lin, G. P. Brux. Mm. Ac. Sc. 3 (1826) 1*-. 



, parallel, on ruled hyperboloid. Schroeter, 

 H. E. Mth. A. 18 (1881) 428-. 



Hexagons, Brianchon's, in space. Hesse, L. 

 0. Crelle J. Mth. 85 (1878) 304-. 



, , , extension of theorem of Hesse. 



Graefe, F. Crelle J. Mth. 93 (1882) 87-. 



, theorem and analogue in space, proof. 

 Weddle, T. Camb. and Dubl. Mth. J. 7 

 (1852) 10-. 



In-conics of quadric surface. Cayley, A. 

 Crelle J. 41 (1851) 73-. 



In-polygon, closed, Hamilton's problem, solu- 

 tion. Gardiner, M. N. S. W. B. S. T. 3 

 (1869) 38-. 



with sides passing through given points. 

 Battaglini, G. Tortolini A. 2 (1851) 20-. 



, problem, solution by 



homographic division. Townsend, JR. [1867] 



L. Mth. S. P. 2 (1869) 21-. 

 n points, by Hamilton's process. 



Gardiner, M. [1868] L. Mth. S. P. 2 (1869) 



63-. 

 In-polygons. Gardiner, M. [1863-64] (vn) 



N. S. W. Ph. S. T. 1 (1866) 105- ; QJ. Mth. 



7 (1866) 146-, 284-. 

 , skew. Hamilton, (Sir) W. JR. Ir. Ac. P. 



4 (1850) 325-, 380- , 541-. 

 In-polyhedra, maximum, of ellipsoid. Spitzer, 



S. Grunert Arch. 32 (1859) 439-. 

 , , . Tillot [Tillol], J. Toul. Mm. 



Ac. 5 (1861) 265-. 

 Inscribed and circumscribed figures in space. 



Roberts, E. A. QJ. Mth. 29 (1898) 179-. 

 Octahedron, hyperboloid circumscribing. Serret, 



P. C. E. 103 (1886) 867-. 

 Paraboloid, segment, series of in- and circum- 

 scribed solids. Martus, H. Grunert Arch. 



38 (1862) 253-. 

 Pascal's theorem, analogues. Bordiga, G. A. 



Yen. I. At. 7 (1881) 1253-. 

 , in space, two. Sautreaux, F. Brux. 



Ac. Bll. 45 (1878) 426-. 

 and Brianchon's, analogues. Chasles, M. 



Brux. Ac. Bll. 6 (1839) 248-. 

 , . Salmon, G. Ph. Mg. 24 (1844) 



49-. 

 , in space. Weddle, T. Camb. 



and Dubl. Mth. J. 4 (1849) 26-; 5 (1850) 



58-; 6 (1851) 114-. 

 r, extension to quadrics. Petot, A. 



C. B. 98 (1884) 726-. 

 , Chasles's analogue to. Ellis, R. L. 



[1859] QJ. Mth. 9 (1868) 344-. 

 , extension to space. Klein, F. (vm) 



Erlang. Sb. Ps. Md. S. 6 (1874) 10-. 

 , of 3 dimensions. Buchheim, A. 



Mess. Mth. 14 (1885) 74-. 

 Polygons in- and circum-scribed to ellipsoid. 



Darboux, G. [1870] (rx) Par. S. Phlm. 



Bll. 7 (1871) 92-. 



inscribed in a quadric and circumscribed 

 about two confocal quadrics. Roberts, R. A. 

 L. Mth. S. P. 18 (1886-87) 202-. 



Poncelet's polygons, movable polyhedra ana- 

 logous to. Fontene, G. N. A. Mth. 18 (1899) 



Poncelet's polygons in space. Kohn, G. Wien 



Ak. Sb. 106 (1897) (Ab. 2a) 481-. 

 Poristic tetrahedra in relation to two quadrics. 



Kohn, G. Mh. Mth. Ps. 11 (1900) 102-. 

 Skew polygons, inscriptible class. Serret, P. 



C. B. 82 (1876) 270-. 

 Tetrahedra, circum-quadrics. Bioche, C. N. 



A. Mth. 18 (1899) 38-. 

 , conjugate, properties. Painvin, L. N. A. 



Mth. 19 (I860) 290-. 

 to 1 quadric, and with edges tangential to 



another. Vogt, H. C. B. 118 (1894) 395- ; 



Par. EC. Norm. A. 12 (1895) 363-. 

 , quadrics of common tetrahedron. Meister, 



K. Z. Mth. Ps. 34 (1889) 6-, 73-. 

 , inscribed. Sincov, D. Kazan S. Ps.-Mth. 



Bll. 6 (1896) 42- ; 7 (1898) 82-. 

 , orthocentric polar. Machovec, F. Mh. 



Mth. Ps. 2 (1891) 451-. 

 , , regular. Hossfeld, C. Z. Mth. Ps. 29 



(1884) 351-. 

 , , theorems. Rubini, R. Nap. Bd. 3 



(1854) 40-. 

 , 12-point sphere and quadrics of. Ripert, 



L. Ma thesis 18 (1898) 218-. 

 , polar, spheres circumscribing. Reye, T. 



Crelle J. Mth. 78 (1874) 345-. 

 , spherical polar system, and application. 



Meyer, K. T. Arch. Mth. Ps. 8 (1890) 



363-. 

 Tetrahedron, 4 edges in 1 quadric, 3 faces 



touching another, envelope. Purser, F. [1866] 



QJ. Mth. 8 (1867) 149-. 



with edges touching quadric, relations with 

 quadric. Weddle, T. Camb. and Dubl. Mth. 

 J. 8 (1853) 105-. 



in ellipsoid, maximum. Spitzer, S. Grunert 

 Arch. 32 (1859) 194-. 



, . Grelle, F. Z. Mth. Ps. 14 



(1869) 372-. 

 , volume determinant. Brioschi, F. 



Tortolini A. 4 (1853) 457-. 

 , (Brioschi). Genocchi, A. N. 



A. Mth. 13 (1854) 429-. 



, , extension of JoachimsthaPs 

 theorem. Mainardi, G. Mil. At. I. Lomb. 

 1 (1858) 119-. 



, inscribed, maximum. Glaser, S. Arch. 

 Mth. Ps. 14 (1896) 156-. 



Intersections of Quadrics. 

 (See also 7660, 8440.) 



Analogues of property of conies. Weddle, T. 



Mathematician 2 (1847) 66-. 

 Asymptotes. Caron, 7. N. A. Mth. 12 (1873) 



270-. 

 Cones, 3, of 2nd degree, with common vertex, 



intersecting in pairs, common lines lie on 



cone of 4th degree. Spottiswoode, W. (vi 



Adds.) Ph. Mg. 37 (1850) 289. 

 , intersections of 2, problem of Steiner's on 



plane curves. Beck, A. Ziir. Vjschr. 38 



(1893) 199-, 266-. 

 , projective. Fiedler, W. Zur. 



Vjschr. 36 (1891) 87-. 



508 



