7210 Ellipses 



Properties of Conies 



7210 



Ellipses, 2, or ellipse and parabola, with 



common focus. Bratt, (Prof.) . Stockh. 



Ac. Hndl. 24 (1803) 108-. 

 Envelope of perpendiculars to radii. Ayttard, 



. N, A. Mth. 5 (1846) 540-, 582-. 

 Fermat, theorem of, extended to ellipse. 



Schlomilch, O. X. Z. Mth. Ps. 19 (1874) 462. 

 In- or circum-triangles and quadrilaterals, 



area. Grunert, J. A. Grunert Arch. 30 



(1858) 11-. 

 In-ellipse of circle with centre and tangent 



given, construction. Niemtschik, R. Wien 



Sb. 68 (1873) (Ab. 2) 377-. 

 Leonardo da Vinci's construction. Rulf, W. 



Mh. Mth. Ps. 9 (1898) 30-. 

 Maximum ellipse touching 4 lines. Seydeicitz, 



F. Grunert Arch. 12 (1849) 44-. 



or minimum ellipse through 2 points and 

 touching 2 lines. Seydeicitz, F. Grunert 

 Arch. 14 (1850) 364-. 



Mean radius vector. Dubois, E. A. Gen. Civ. 



2 (1863) 193- ; Les Mondes 3 (1863) 330-. 

 Minimum ellipse through 3 given points. 



Dantscher, V. von. Wien Ak. Sb. 99 (1891) 



(Ab. 2a) 10- ; 104 (1895) (Ab. 2a) 301-. 

 4 given points. Hearn, G. W. Mathe- 

 matician 2 (1847) 315-. 

 . Anger, C. T. As. Nr. 26 



(1848) 35-. 

 New property. Auria, L. d\ Franklin I. J. 



123 (1887) 27-. 

 , and its application to the "oval chuck". 



Leavitt, F. M. Franklin I. J. 81 (1881) 



114-. 

 Parallel and different ellipses impossible, proof. 



Hyde, E. W. Des Moines Anal. 2 (1875) 144. 

 Parallels. Games Teixeira, F. Brux. Mm. 



Cour. 8, 58 (1898-99) No. 5, 39 pp. 

 Point-circle and ellipse. Davis, R. F. Edinb. 



Mth. S. P. 13 (1895) 105-. 

 Projection, application. Ferriot, . Gergonne 



A. Mth. 2 (1811-12) 240-. 



of circle, ellipse considered as, etc. Jullien, 

 A. N. A. Mth. 14 (1875) 324-, 359-. 



, , . Kantor, S. Z. Mth. 



Ps. 23 (1878) 414- ; 24 (1879) 54-; 25 (1880) 



Properties. Bratseur, L. N. A. Mth. 3 (1864) 

 111-. 



of ellipse, and trisection of an angle. 

 Boklen, O. Grunert Arch. 30 (1858) 434-. 



Ptolemy's theorem extended to ellipse. Grunert, 

 J. A. Grunert Arch. 30 (1858) 109- . 



Radial. Tucker, R. QJ. Mth. 18 (1882) 311-. 



Radius of curvature, construction, Tran&on, 

 (Prof.) A. Par. S. Phlm. PV. (1844) 85-. 



Rectilinear figure, in- or circum-scribed. Lind- 

 nuin, C. F. Ts. Mt. Fys. 2 (1869) 119-. 



Relation between points of intersection of tan- 

 gents and of normals at ends of a chord. 

 Bruno, G. Tor. At. Ac. Sc. 8 (1872-73) 90-. 



Remarkable points, four. Osengu, G. Palom- 

 ba Rac. 3 (1847) 353-. 



Sectors and segments with reference to con- 

 jugate diameters. Zehme, W. Schlomilch 

 Z. 3 (1858) 311-. 



Singular case. Fuss, N. [1798] St Pet. Ac. 

 Sc. N. Acta 15 (1806) 71-. 



Theorems. Steiner, J. Crelle J. 32 (1846) 300-. 

 (Steiner). Clausen, T. Grunert Arch. 9 



(1847) 259-. 

 Theory deduced from a transformation of 



circle. Lentheric, . (vi Adds.) Mntp. 



Ac. Sc. Mm. 5 (1861-63) 25-. 

 Trigonometry of ellipse. Malagoli, R., d~ 



Mannei, E. G. Mt. 27 (1889) 60-. 



Envelope, case. Wolstenholme, J. [1883] L.Mth. 

 S. P. 15 (*1883-84) 48-. 



of chord of circle, conies as. Unferdinger, 

 F. Grunert Arch. 34 (1860) 406-." 



subtending constant angle. Breton 



[de Champ], P. N. A. Mth. 4 (1845) 300-. 



chords of constant length. Trudi, N. 



Nap. Rd. 1 (1862) 7-. 



. Weyr,E. [1871] Z. Mth. 



Ps. 17 (1872) 164-. 



circle whose diameter is focal radius of 



conic. Peter sen, J. P. C. (xn) Ts. Mth. 3 

 (1867) 24- ; 5 (1869) 140- ; 2 (1878) 178-. 



line cut by two circles harmonically. 

 Cazamian, A. N. A. Mth. 13 (1894) 218-. 



cutting off intercepts whose sum is 



constant on two lines at right angles. Wol- 

 fers, J. P. Grunert Arch. 25 (1855) 109-. 



of given length inscribed in angle. 

 JoachimstiMl, F. N. A. Mth. 6 (1847) 260- . 



Envelopes of lines making constant angle with 

 tangents to conic. Del Re, A. G. Mt. 22 

 (1884) 75-. 



variable lines. Ocagne, M. <i'. N. A. 

 Mth. 5 (1886) 88-. 



Equations and Coordinates. 



De Morgan, A. [1830] Camb. Ph. S. T. 4 



(1833) 71-. 

 Ampere, A. M. Quetelet Cor. Mth. 10 (1838) 



Finck, B. N. A. Mth. 3 (1844) 401-, 573-. 

 Finlay, R. [1851] Manch. Ph. S. Mm. 10 



(1852) 33-. 



Battaglini, G. Nap. Rd. 1 (1862) 24-. 

 Grunert, J. A. Arch. Mth. Ps. 51 (1870) 257-, 



276-, 326-. 

 Mitchell, O. H. [1883] A. Mth. 1 (*1884-85) 



78-, 103-. 

 Peed, M. T. [1886] J. H. Un. Cir. [6] (1886 



-87) 81. 

 Weyr, E. Casopis 16 (1887) 97-, 145-, 202- ; 



Fschr. Mth. (1887) 796. 

 Axes, direction of, in oblique coordinates. 



Aller, C. van. Fschr. Mth. (1900) 577. 

 , equation. Hensley, P. J. QJ. Mth. 5 



(1862) 273-. 

 _ t _. Whitworth, W. A. QJ. Mth. 5 (1862) 



335-. 

 , . Thomson, F. D. (v) Mess. Mth. 2 



(1864) 16-. 

 , . Stolz, 0. Wien Sb. 55 (1867) (Ab. 2) 



280-. 



_, _. c., J. B. Cn. J. 11 (1868) 388-. 

 , . Thomson, F. D. Mess. Mth. 5 (1871) 



65-. 

 , . Walker, J. J. QJ. Mth. 15 (1878) 30-. 



487 



