7240 Quadric Surfaces. Hyperboloid. Inscribed Figures 7240 



Hyperboloid with 3 given generators, and re- 



sultant of 4 forces. Berg, F. J. van den. 



N. Arch. Wisk. 6 (*1880) 183-. 

 -- given plane section, construction. Gra- 



berg, F. Ziir. Vjschr. 10 (1865) 64-; 12 



(1867) 391-. 



of 1 sheet. Magnus, L. J. Gergonne A. 

 Mth. 16 (1825-26) 33-. 



---- . CJuisles, M. Liouv. J. Mth. 1 



(1836) 324- ; 4 (1839) 348- ; C. E. 52 (1861) 



1041-, 1094-. 

 ---- . Mannheim, A. C. E. 102 (1886) 



253-. 

 -- . -- -, and Cartesian ovals. Vries, J. de. 



Amst. Ak. Vs. 4 (1896) 252- ; Fschr. Mth. 



(1896) 491. . 

 ---- , centre, construction. Seydewitz, 



F. Grunert Arch. 10 (1847) 59-. 

 containing parallelepipeds. 



Hachette, J. N. P. Par. S. Phlm. Bll. 



(1823) 71-. 

 ---- , curves connected with generators. 



Toicnsend, R. Camb. and Dubl. Mth. J. 4 



(1849) 66-. 

 ---- and hyperbolic paraboloid. Chasles, 



M. Quetelet Cor. Mth. 8 (1834) 128- ; 11 



(1839) 228-. 

 ------- . Schoeiifliet ,A. Z. Mth . 



Ps. 23 (1878) 269- ; 24 (1879) 62-. 



, plane sections, and 



shadows. Niemtschik, R. Wien Sb. 61 



(1870) (Ab. 2) 381-. 

 ---- , parameter of parabolic section. 



Lemmnier.H. N. A. Mth. 14 (1875) 167-.169-. 

 --- , properties. Poudra, . N. A. 



Mth. 17 (1858) 158-. 

 ---- , property. Olivier, T. Par. S. 



Phlm. PV. (1848) 39-. 

 ---- , . Bauer, G. Munch. Ak. Sb. 



10 (1880) 635-. 

 ---- , of 3 pairs of parallel generators. 



Schroeter, H. E. Miinch. Ak. Sb. 11 (1881) 



238-. 

 ---- , simple. Schroeter, H. E. Crelle 



J. Mth. 85 (1878) 26-. 

 ---- , tangent plane. Hachette, J. N. P. 



Par. EC. Pol. Cor. 2 (1809-13) 329-. 



2 sheets. Unferdinger, F. Grunert 

 Arch. 27 (1856) 476-. 



Hyperboloidal straight lines derivable from 

 tetrahedron and quadric. Doehlemann, K. 

 Arch. Mth. Ps. 17 (1900) 160-. 



Paraboloid, hyperbolic. Verdam, G. J. Amst. 

 N. Vh. 10 (1844) 1-. 



, , mould-board of plough, description. 

 Hachette, J. N. P. (xn) Fr. S. Ag. Mm. 

 (1821) 525-. 



, rectangular, hyperbolic, locus of point 

 equidistant from two straight lines. Motta- 

 Pegado, L. P. da. [1867] Lisb. J. Sc. Mth. 

 1 (1868) 188-. 



Parallelepipeds determined by 3 generators of 

 one system on hyperboloid. Mogni, A. G. 

 Mt. 4 (1866) 321-. 



Eectangular hyperboloids. Vogt, H. Crelle 

 J. Mth. 86 (1879) 297-. 



-- . Schumann, A. Z. Mth. Ps. 26 (1881)136-. 



-- . Cazamian,A. N. A. Mth. 13 (1894) 378-. 



Euled quadrics, analytical character. Haille- 

 court, A. [1879] Bordeaux S. Sc. Mm. 3 

 (1880) liv. 



, models, construction. Freeman, A. 

 Mess. Mth. 4 (1868) 226-. 



, shortest path consisting of straight lines 



between two points on. Campbell, J. E. 

 Mess. Mth. 23 (1894) 130-. 



, surface ruled in two directions and 

 undevelopable. Hachette, J. N. P. Par. 

 S. Phlm. Bll. (1832-33) 36-. 



surfaces and congruences, theorems. King, 

 L. Mh. Mth. Ps. 9 (1898) 110-. 



Skew quadrics. Durrande, H. N. A. Mth. 6 



(1867) 168-, 207-. 

 . weyr, E. [1898] Prag Ceske Ak. Fr. 



Jos. Ez. (Trida 2) 8 (1899) Art. 6, 8 pp.; 



Prag Fr. Jos. Ac. Sc. Bll. (Mtk. Nt.) 5 (1898) 



79. 

 , problems. Fouret, G. N. A. Mth. 8 



(1889) 34-. 

 , properties. Brasseur, J. B. Brux. Ac. 



Bll. 18 (1851) (pte. 2) 41-. 

 Tetrahedra and hyperboloids, "G. H." relation 



of straight lines. Casey, J. Mess. Mth. 3 



(1866) 178-. 

 , . Smith, G. R. JR. 



Mess. Mth. 26 (1897) 145-. 

 Triplet of straight lines on hyperboloid. Bauer, 



G. Miinch. Ak. Sb. 11 (1881) 241-. 



Hypercyclic planes (planes cutting quadrics in 



rectangular hyperbolas) . Gillet,J. Mathesis 



12 (1892) 153-, 180-, 223-. 

 Imaginary projection of quadric surfaces and 



twisted quartic curves. Retail, V. [1885] 



Bologna Ed. (1885-86) 21-. 

 Indices of points, straight lines, and planes 



with regard to quadric surface, theory. 



Neuberg, J. N. A. Mth. 9 (1870) 317-, 360-, 



399-, 433-. 



Inscribed, Circumscribed, ami Conjugate 

 Figures. 



(See also 7210 and 8075.) 



Circum-polygons. Voss, A . Mth. A. 25 (1885) 



39-. 

 Circum-quadrilateral and its quadric. Mannheim, 



A. Par. S. Mth. Bll. 25 (1897) 78-. 



, skew. Bruno, G. Tor. Ac. Sc. At. 17 

 (1881) 35-. 



Cone circumscribing trihedral angle. Hellwig, 

 C. Arch. Mth. Ps. 63 (1879) 215-. 



enveloping elliptic spheroid. Friesach, K. 

 Steierm. Mt. (1874) 57-. 



Cones circumscribing quadric. Cardinaal, J. 



Haarl. Ms. Teyl. Arch. 5 (1898) 45-. 

 Cylinder circumscribing ellipsoid, sections. 



Catalan, E. C. Liege S. Sc. Mm. 15 (1888) 



No. 1, 3-. 

 Decagons, skew, class inscriptible in ellipsoid. 



Serret, P. C. E. 82 (1876) 162-. 

 Hexagon on hyperboloid. Hesse, L. O. Crelle 



J. 24 



24 (1842) 40-. 



507 



