7240 Plane Sections 



Circular sections. Rubini, E. N. A. Mth. 14 



(18-55) 237-. 

 . Bobinet, J. C. E. 43 (1856) 453-. 



. Souillart, C. Crelle J. 65 (1866) 

 320-. 



. Bauer, G. [1868] Crelle J. 71 (1870) 



46-. 

 . Crosnier, . N. A. Mth. 13 (1874) 



__." Sourander, E. Crelle J. Mth. 85 (1878) 

 339-. 



(Sourander). Souillart, C. Crelle J. 

 Mth. 87 (1879) 220- . 



. Graves, (Rt. Rev.) C. [1890] Ir. Ac. 



P. 1 (1889-91) 440. 

 . Servais, C. Brux. Ac. Bll. 22 (1891) 



115-. 



, condition expressed as vanishing sum 

 of squares. Henrici, F. C. [0.] [1864] 

 Crelle J. 64 (1865) 187-. 



, conditions for, and discriminant of 

 quadric. Dingeldey, F. Crelle J. Mth. 122 

 (1900) 186-. 



of ellipsoid, orthogonal trajectories. 

 ' Catalan, E. C. Liouv. J. Mth. 12 (1847) 



483-. 



, existence. Gregory, D. F. (vi Adds.) 

 Camb. Mth. J. 1 (1839) 100-. 



, projection of quadrics on plane of. 

 Pelz, C. Arch. Mth. Ps. 52 (1871) 313-. 



and umbilics. Lac de Bosredon, V. N. 



A. Mth. 5 (1886) 186-, 214-. 

 Cone and tangential sphere, section, extension 



of theorem. Walker, E. QJ. Mth. 4 (1861) 



276-. 

 Cones, conical section of two. Dickl, J. 



Arch. Mth. Ps. 67 (1882) 219-. 

 , plane sections. Gergonne, J. D. Gergonne 



A. Mth. 16 (1825-26) 361-. 

 , . Guimaraes, R. As. Fr. C. B. (1894) 



(Pt. 2) 50-. 

 , right circular, minor axis of plane section. 



Taylor, C. [1871] Mess. Mth. 2 (1873) 



39-. 

 Cylinder, sections. Schubert, F. T. [1798] 



St Pet. Ac. Sc. N. Acta 13 (1802) 190-. 

 Eccentricity. Newson, H. B. [1889] A. Mth. 



5 (1889-90) 1-. 

 Hyperbolic sections projecting into rectangular 



ones. Schvber, K. Mh. Mth. Ps. 9 (1898) 



233-. 

 Malfatti's problem, Steiner's extension (plane 



sections, three, each touching other two, and 



also two of three given sections). Cayley,A. 



Phil. Trans. (1852) 253-. 

 Parabolic section. Ttceedie, C. Edinb. Mth. 



S. P. 13 (1895) 136-. 

 Parallel planes, sections of quadric by, ratio of 



magnitudes. Cay ley, A. Camb. and Dubl. 



Mth. J. 7 (1852) 104. 

 Plane cutting quadric and plane, pole of line 



with respect to section. Cayley, A. QJ. 



Mth. 2 (1858) 140-. 



section and tangent cone, envelope and locus 

 theorems. Bodemer, , & Hioux, . N. 

 A. Mth. 2 (1863) 426-, 488-. 



sections and their parallels. Veladini, G. 

 Em. Cor. Sc. 1 (1848) 57-. 



Quadric Surfaces 7240 



Eectangular hyperbolic sections. Schlomilch, 



O. Schlomilch Z. 6 (1861) 418-. 

 of quadric cone. Rulf, W. Mh. Mth. 



Ps. 7 (1896) 93-. 

 surface. Schober, K. Mh. 



Mth. Ps. 7 (1896) 111-. 

 Eotation quadric, sections. Havlicek, V. 



Casopis 29 (1900) 81-; Fschr. Mth. (1900) 



544. 



Planes, tangent, polar, and diametral, and 



centres of quadrics. Cauchy, A. L. C. E. 



16 (1843) 801-. 

 Points at infinity. Paint-in, L. N. A. Mth. 4 



(1865) 49-. 

 Polar plane, MacCullagh's theorem. Curtis, 



A. H. QJ. Mth. 1 (1857) 134-. 

 , . Cayley, A. Ir. Ac. P. 6 (1858) 



481-. 



planes and lines. Terquem, 0. N. A. Mth. 

 16 (1857) 266-. 



of 4 quadrics. Spottisicoode, W. [1881] 



L. Mth. S. P. 13 (1881-82) 28-. 



properties of 3 plane curves on surface. 

 Olivier, T. Quetelet Cor. Mth. 4 (1828) 9-, 

 96-. 



sections. Olivier, T. Quetelet 



Cor. Mth. 4 (1828) 228-. 

 , self-polar quadrics. Hioux, V. N. A. 



Mth. 13 (1894) 211-. 



quadrics. Zeuthen, H. G. A. Mt. 4 (1870- 

 71) 331-. 



reciprocal quadrics. Ingram, J. K. Ph. 

 Mg. 23 (1844) 188-. 



. Del Pezzo, P. Nap. Ed. 24 (1885) 



165-. 

 . Garbieri, G. Yen. I. At. (1885-86) 



1149-. 

 . Del Re, A. Palermo Cir. Mt. Ed. 2 



(1888) 37-. 

 , reciprocating quadric. Battaglini, G. 



Em. At. E. Ac. 26 (1873) 5-. 

 , . Thieme, H. Z. Mth. Ps. 22 



(1877) 377-. 



relation, and quadrics. London, F. 

 Mth. A. 38 (1891) 334-. 



tetrahedra. Vdlyi, G. Mth. Termt. 



Ets. 12 (1894) 93-; Mth. Nt. B. Ung. 13 

 (1897) 189-. 



tetrahedra, and curve of intersection of 2 

 quadrics. Liiroth, J. [1867] Z. Mth. Ps. 13 

 (1868) 404-. 



Polars of algebraic surfaces. Mainardi, G. 



Mil. At. I. Lomb. 1 (1858) 109-. 

 , theory, for conies and quadrics. Lentheric, 



. Mntp. Ac. Sc. Mm. 1 (1847-50) 279-, 



427-. 

 Poles of conies and quadrics, proof of properties. 



Rochat, . Gergonne A. Mth. 3 (1812-13) 



302-. 

 Principal planes and chords. Vazeille, E. N. 



A. Mth. 10 (1871) 5-. 

 , determination, to any axes. St Guilhem, 



P. D. Toul. Mm. Ac. 4 (1834-36) 67-. 

 Problem, solution. Aubert, P. Edinb. Mth. 



S. P. 4 (1886) 91-. 



511 



