7260 



Systems of Quadric Surfaces. Confocals 



7260 



Segments, volume. Mossbrugger, L. Grunert 

 Arch. 27 (1856) 66-. 



Self-conjugate quadrics. Sturm, R. Mth. A. 

 25 (1885) 236-. 



Stereographic projection of quadrics, generalisa- 

 tion. Prochdzka, B. Casopis 14 (1885) 1-; 

 Fschr. Mth. (1885) 587-. 



Tangent plane of ellipsoid. Q. Camb. Mth. 

 J. 1 (1839) 117-. 



planes. Delacour, V., < Mayer d'Almbert, 

 . N. A. Mth. 5 (1846) 611-. 



to conic and quadric, theorem. Beer, A. 

 Grunert Arch. 20 (1853) 202-. 



, orthogonal, complex of lines through 



which two may be drawn to quadric. De- 

 moulin, A. Par. S. Mth. Bll. 20 (1892) 122-. 



Tangents common to two quadrics having 

 skew quadrilateral in common. Schur, F. 

 Z. Mth. Ps. 25 (1880) 414-. 



to lines of curvature of quadric, practical 

 determination. Fieri, M. Fschr. Mth. (1893- 

 94) 958. 



Transformation, automorphic, of sphere and 

 ellipsoid. Geer, P. van. Z. Mth. Ps. 19 

 (1874) 82-. 



Vaultings, parabolic and elliptic. Haase, H. 

 Forster Al. Bauztg. 47 (1882) 89-. 



7260 Systems of quadric surfaces. 

 (See also 8070, 8090.) 



Confocal Quadrics. 



Bobillier, . Gergonne A. Mth. 18 (1827-28) 



185-. 



Chasles, M. [1847] Liouv. J. Mth. 13 (1848) 16. 

 Schlafli, L. Bern Mt. (1847) 96-. 

 Booth, J. Camb. and Dubl. Mth. J. 9 (1854) 



115-. 



Heilermann, . Schlomilch Z. 3 (1858) 341-. 

 Chasles, M. Liouv. J. Mth. 5 (1860) 425-; C. 



R. 50 (1860) 1055-, 1110-. 

 Laguerre, E. Bll. Sc. Mth. As. 3 (1879) (Ft. 1) 



Boklen, 0. Z. Mth. Ps. 26 (1881) 204-. 

 Mannheim, A. E. S. P. 33 (1882) 322-. 

 Humbert, G. Par. S. Mth. Bll. 13 (1885) 95-. 

 Machovec, F. Prag Ceske Ak. Fr. Jos. Ez. 



(Tfida 2) 1 (1892) Art. 38, 48 pp. 

 Analogue in conies. Townsend, R. [1872] 



Mess. Mth. 2 (1873) 33-. 

 Centres of curvature, Salmon's theorem. 



Townsend, R. Camb. and Dubl. Mth. J. 5 



(1850) 177-. 

 Confocal, conjugate, and other quadrics. 



Fiedler, W. Schlomilch Z. 7 (1862) 25-, 



217-, 285-. 



and orthogonal surfaces. Legoux, A. N. A. 

 Mth. 3 (1884) 161-. 



quadrics, 2, as loci of centres of surface. 

 Liouville, J. Liouv. J. Mth. 16 (1851) 6-. 



of moments of inertia. Gardiner, M. 

 Viet. E. S. P. 5 (1893) 200-. 



surfaces, sphero-conics and lines of curva- 

 ture. Casey, J. [1865] Mess. Mth. 3 (1866) 

 236-. 



Curves and cones connected with confocal 

 ellipsoids. Rutledge, J. Y. Camb. and 

 Dubl. Mth. J. 4 (1849) 139-; 9 (1854) 148-. 



on confocal quadrics. Rutledge, J. Y. 

 Camb. and Dubl. Mth. J. 5 (1850) 110-. 



Director sphere. Bobillier, . Gergonne A. 



Mth. 19 (1828-29) 317-. 

 Distance between consecutive quadrics. Picart, 



A. N. A. Mth. 3 (1864) 532-. 

 Distance-correspondences for quadric surfaces, 



Ivory's and Jacobi's, extension. Larmor, J. 



L. Mth. S. P. 16 (1884-85) 189-. 

 Duplicate sets of confocal surfaces. Rutledge, 



J. Y. Camb. and Dubl. Mth. J. 6 (1851) 201-. 

 Edge of regression of imaginary circum-develop- 



able. Townsend, R. [1871] Mess. Mth. 1 



(1872) 49-. 

 Ellipsoids, confocal. Zehfuss, G. (xi) Z. Mth. 



Ps. 4 (1859) 166-. 



, . Mannheim, A. Mess. Mth. 11 (1882) 190-. 

 , , Ivory's property. Haedenkamp, H. 



Grunert Arch. 3 (1843) 397-. 

 Equation. Mac Cullagh, J. Ir. Ac. P. 3 (1845- 



47) 429-. 



(Mac Cullagh, priority question). Chasles, 

 M. Liouv. J. Mth. 11 (1846) 120-. 



Extension to space of n dimensions. Meyer, 



W. F. Konigsb. Schr. 41 (1900) [24}-. 

 Focal lines and confocal quadrics. lonescu, 



B. G. [Bucarest S. Sc. Bl. 6 (1897)] 159-. 

 of tangent cone. Jacobi, C. G. J. Crelle 



J. 12 (1834) 137-. 

 , Jacobi's theorem. Cayley, A. 



Camb. and Dubl. Mth. J. 3 (1848) 48-. 

 Locus of vertex of circum-cone. Breton [de 



Champ], P. N. A. Mth. 11 (1852) 369-. 

 Normal problem, two unicursal degenerate 



cubics connected with. Tesaf, J. Wien 



Ak. Sb. 101 (1892) (Ab. 2a) 1248-. 

 Paraboloids, confocal. Boklen, 0. Grunert 



Arch. 35 (1860) 81-. 

 , . Greenhill, A. G. L. Mth. S. P. 19 



(1889) 129-. 

 Property. Ferrers, N.M. QJ. Mth. 3 (I860) 155-. 



of two quadrics. Bruno, G. Tor. Ac. Sc. 

 At. 14 (1878) 125-. 



Synthetic theory. Maglioli, F. G. Mt. 16 



(1878) 305-. 

 Tangent and normal plane at point, conjugacy 



of traces on diametral plane. Droz, A. N. 



A. Mth. 20 (1881) 305-. 



planes through line in axial plane. Picart, 

 A. N. A. Mth. 4 (1865) 62-, 97-. 



Tangents to confocal quadrics. Gilbert, P. 



N. A. Mth. 6 (1867) 529-. 

 (Gilbert). Gibson, G. A. Edinb. 



Mth. S. P. 3 (1885) 61-. 

 Theorems of Lame and Bertrand. Machovec, 



F. Mh. Mth. Ps. 4 (1893) 57-. 



Director spheres of system of quadrics touching 

 system of planes. Townsend, R. [1866] QJ. 

 Mth. 8 (1867) 10-. 



Families of cones, -yJ!^ + __^ 1. 



King, L. Orv.-Termt. Ets. (Termt. Szak) 

 (1900) 72-, (Rv.) 13-. 



VOL. I. 



513 



