7210 



Properties of Conies. Ellipses 



7210 



Conic through 5 points, radius of curvature, 



construction. Rohn, K. Leip. Mth. Ps. B. 



52 (1900) 17-. 



Conies inscribed in triangle of reference, curva- 

 ture. Longchamps, G. de. As. Fr. C. E. 



(1891) (Ft. 2) 11-. 

 Curvature properties of conies. Sobotka, J. 



Prag Sb. (1894) (Mth.-Nt.) No. 42, 9 pp. 

 treated dynamically. Collignon, E. As. 



Fr. C. E. (1898) (Pt. 2) 34-. 

 Formula (Neuberg). Gob, A. As. Fr. C. E. 



(1893) (Pt. 2) 254-. 

 Eadii of curvature. Strehlke, F. Crelle J. 2 



(1827) 380-. 

 . Transon, (Prof.) A. Liouv. J. Mth. 



1 (1836) 191-. 

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



Mth. J. 1 (1839) 61-. 

 . Schlamilch, O. Schlomilch Z. 2 



(1857) 187-. 

 . Ribaucaur, A. N. A. Mth. 7 (1868) 



171-. 

 , case. Mannheim, A. Par. S. Mth. 



Bll. 18 (1890) 155-. 



, . Gob, A. Mathesis 14 (1894) 133-. 



, construction, geometrical. Azzarelli, 



M. Em. N. Line. Mm. 11 (1895) 87-. 

 , , simple. Brix, A. F. W. Grunert 



Arch. 9 (1847) 316-. 



, constructions as corollaries of a 



theorem of Steiner's. Pelz, C. Prag Sb. 



(1879) 205- ; (1882) 3-. 

 , evaluation. Taylor, C. Mess. Mth. 



3 (1866) 97- ; 2 (1873) 142-. 

 , property. Steiner, J. Crelle J. 30 



(1846) 271-. 



Curve resulting from binocular union of straight 

 line with circular arc, or of 2 circular arcs, 

 form. Rogers, W. B. Edinb. N. Ph. J. 3 



(1856) 210-. 

 lindric 



Cylindrical projection of conies. Glaser, S. 



Arch. Mth. Ps. 13 (1895) 113-. 

 Degenerate conjugate conies. Retail, V. 



Bologna Ed. (1886-87) 88-. 



forms. Hirst, T. A. L. Mth. S. P. 2 (1869) 

 166-. 



Demonstration, new, of properties. Bobillier, 

 . Gergonne A. Mth. 18 (1827-28) 359-. 



, , -- . Olivier, T. Par. S. Phlm. PV. 

 (1847) 36. 



Derivation from any one conic. Azzarelli, M. 



Em. N. Line. At. 43 (1890) 103-. 

 Diameter, constructions for. Taylor, C. Mess. 



Mth. 3 (1866) 5-. 

 Diameters. Painvin,L. N. A. Mth. 4(1865)498-. 



, elementary geometrical proofs. Zeuthen, 

 H. G. (XH) Ts. Mth. 4 (1868) 145-. 



Director (or orthoptic) circle. Lemoine, E. N. 

 A. Mth. 17 (1858) 240-. 



( -- ) . Laguerre, E. N. A. Mth. 18 

 (1879) 204-. 



( -- ) of inscribed conic. Rouse, E. P. 

 Mth. Gz. No. 2 (1894) 12-. 



( -- ) , locus of vertices of right angles 

 circumscribed to ellipse. Forcade-Prunet, G. 

 N. A. Mth. 13 (1854) 192-. 



Director (or orthoptic) circles of linear system 

 of conies. Vries, J. de. Amst. Ak. Vs. 7 

 (1899) 371- ; Amst. Ak. P. 1 (1899) 305-. 



Eccentric circle of Boscovich. Langley, E. M. 

 Mth. Gz. No. 1 (1894) 1-; No. 3 (1894) 17-. 



Ellipses. 

 Noel, J. N. Liege Mm. S. Sc. 2 (1845-46) 



Weddle, T. Mathematician 2 (1847) 179-. 

 (Sinram.) Jefdbek, W. [1879] Arch. Mth. 



Ps. 65 (1880) 215-. 

 Axes, construction. Tucker, R. [1865] Mess. 



Mth. 3 (1866) 151-. 

 , from 2 conjugate diameters. Broch, O. 



J. Crelle J. 40 (1850) 233-. 

 , . Seidelin, C. J. L. (xn) 



Ts. Mth. 6 (1870) 20-, 22- ; 6 (1876) 63-. 

 , . Millar, J. B. Manch. 



Lt. Ph. S. P. 14 (1875) 89-, 112-. 

 , (Millar's method). Rawson, 



R. Manch. Lt. Ph. S. P. 14 (1875) 98-. 

 , . Mannheim, A. N. A. Mth. 



17 (1878) 529-; Mess. Mth. 11 (1882) 



175-. 

 , when considered as a Lissajou's curve. 



Janmchke, H. Arch. Mth. Ps. 60 (1877) 



222-. 

 , determination. Fialkoicski, N. Wien SB. 



20 (1856) 167-. 



and radii-vectores. Crocchi, L. G. Mt. 12 

 (1874) 375-. 



Brocard's ellipse. Catalan, E. [1890] Brux. 



Ac. Mm. 49 (1890-93) (No. 3) 20 pp. 

 Circle and ellipse. Kilbinger, G. Ens. Mth. 



1 (1899) 452-. 



through feet of 3 normals to ellipse. Weill, 

 M. N. A. Mth. 19 (1880) 60-. 



3 points of ellipse, theorem. Joachims- 

 thai, F. Crelle J. 39 (1850) 138- . 



, theorem of Euler, generalisation and ex- 

 tension to ellipse. Dostor, G. Arch. Mth. 

 Ps. 51 (1870) 106-. 



Circles, system of 286, connected with ellipse. 

 Boklen, 0. Z. Mth. Ps. 28 (1883) 300-. 



Conjugate diameters, problem. Berg, F. J. 

 van den. Amst. Arch. Wisk. Gn. 2 (1860- 

 63) 129-, 152-, 189-. 



, solution of problem (claim of priority 



for Le Poivre). Le Paige, C. Main. S. 

 Mm. 10 (1888) 587-. 



Construction. Faconnet, . (vn) A. Cond. 

 Pon. Chauss. 3 (1859) 381- ; 5 (1861) 187-. 



of ellipse and of circle. Fialkowski, N. 

 Wien SB. 16 (1855) 9-. 



Constructions. Statidigl, R. Wien Sb. 59 



(1869) (Ab. 2) 189-. 

 Cotes's theorem extended to ellipse. Grunert, 



J. A. Grunert Arch. 30 (1858) 104-. 

 "Deviation" angle. Ocagne, M. d\ N. A. 



Mth. 7 (1888) 268-. 



in the ellipse. Ocagne, M. d\ N. A. Mth. 

 5 (1886) 370-. 



. Mannheim, A. N. A. Mth. 16 



(1897) 249-. 

 Ellipses of equal probability. Brtgtr, P. Ev. 



Artl. 10 (1877) 82-. 



486 



