7210 



Properties of Conies 



7210 



Projective theorems. Ovidio, E. d\ Tor. Ac. 



Sc. At. 26 (1891) 525-. 

 Projectrices of a circle, successive. Bottomley, 



J. [1885-88] Manch. Lt. Ph. S. Mm. 10 



(1887) 6-; 1 (1888) 89; Manch. Lt. Ph. S. 



P. 25 (1886) 233-. 

 Properties connected with integration of Euler's 



equation. Laguerre, . N. A. Mth. 11 



(1872) 156-. 



deduced from parallelogram. Ponte Horta, 

 V. da. Lisb. J. Sc. Mth. 3 (1871) 1-. 



and loci. Zambelli, A. Yen. At. Aten. 7 

 (1872) 107-. 



Quadrilaterals, Quadrangles, and related 



Conies. 

 (See also 6810.) 



Terrier, P. N. A. Mth. 14 (1875) 514-. 

 Circum-conics, locus of centres. Lanavicensis 



[Sylvester, J. J.]. (HI) Mess. Mth. 2 (1864) 



169-. 

 , Steiner's theorem. Gergonne, J. D. Ger- 



gonne A. Mth. 18 (1827-28) 100-. 

 Circum-parabolas, 2. Kluyver, . Mathesis 



13 (1893) 106-. 



Circum-quadrilaterals, Newton's theorem, de- 

 monstration. Poncelet, J. V. Gergonne A. 



Mth. 12 (1821-22) 109-. 

 , theorem of Chasles. Housel, . N. A. 



Mth. 18 (1859) 352-. 

 Conjugate quadrilateral, theorem of Hesse, 



geometrical demonstrations. Hofmann, F. 



Crelle J. Mth. 102 (1888) 175-. 

 In- and circum-quadrilaterals, Steiner's theo- 

 rem. Strnad, A. (Sasopis 17 (1888) 10-, 



56-; Fschr. Mth. (1888) 548. 

 In-conics. Cluisles, M. Quetelet Cor. Mth. 4 



(1828) 363-. 



. Battaglini, G. Nap. Ed. 1 (1862) 168-. 

 . Painvin, L. N. A. Mth. 2 (1863) 156-. 

 , anharmonic properties. Walker, J. J. 



[1869] QJ. Mth. 10 (1870) 317-. 

 , centre lies on Newtonian. Grunert, J. A. 



Arch. Mth. Ps. 54 (1872) 361-. 



and circum-conics. Mathieu, J. J. A. N. 

 A. Mth. 15 (1876) 354-. 



, 120 theorems, etc. Terquem, 0. N. 



A. Mth. 4 (1845) 384-, 480-. 

 , 4, of same quadrilateral. Jonquieres, E. de. 



N. A. Mth. 15 (1856) 312-. 

 In-quadrilateral of ellipse, theory. Mittelacher, 



C. [1869] Arch. Mth. Ps. 52 (1871) 206-. 



and 5-gon, theorems. Serret, P. N. A. Mth. 

 7 (1848) 214-. 



Involutions of two quadrangles. Weyr, E. 



Wien Sb. 57 (1868) (Ab. 2) 449-. 

 Maximum in-ellipse. Gauss, C. F. Zach M. 



Cor. 22 (1810) 112-. 

 . Molhveide, C. Zach. M. Cor. 22 (1810) 



227-, 296-. 

 or circum-ellipse. Serret, P. N. A. Mth. 



4 (1865) 303-. 

 and minimum circum-ellipse. Fenwick, 



S. Mathematician 2 (1847) 229-. 

 Minimum circum-conic. Battaglini, G. Tor- 



tolini A. 5 (1854) 193-. 



Minimum circum-ellipse. Seydeicitz, F. Gru- 

 nert Arch. 13 (1849) 54-. 

 14-point conic of quadrilateral. Cremona, L. 



Mess. Mth. 3 (1866) 13-. 

 . Ferrers, N. M. Mess. Mth. 3 



(1866) 68-. 

 Quadrangle and conic. Sauve, A. Em. N. 



Line. Mm. 12 (1896) 249-. 

 , moveable. Fontene, G. N. A. Mth. 17 



(1898) 101-. 

 Quadrilateral formed by tangents from foci. 



Torry, A. F. [1881] Mess. Mth. 11 (1882) 



54-. 

 Eelation between in-conic and circum-circle. 



Laguerre, E. N. A. Mth. 18 (1879) 246-. 



Eadii vectores and diameters. Chasles, M. 



C. E. 26 (1848) 531-. 

 of ellipse, mean. Baehr, G. F. W. Les 



Mondes 3 (1863) 409- . 

 , peculiarity. Steiner, J. Crelle J. 30 



(1846) 337-. 

 Eay systems of second order, condition for 



enveloping ellipse, parabola, etc. Meyer, A. 



(of Stockholm). Z. Mth. Ps. 28 (1883) 383-. 

 Secant, imaginary, of conic, Mainardi's 



theorems. Bellavitis, G. Yen. At. (1857- 



58) 623-; (1858-59) 334-. 

 Sectors, quadrature (Leibnitz). Baltzer, R. 



Leip. B. 7 (1855) 62-. 

 , (Baltzer on Leibnitz). Mobius, A. F. 



Leip. B. 8 (1856) 19-. 

 Segments, theorems. Lescaze, A. N. A. Mth. 



19 (1860) 225-. 

 Semiaxes of conies, some relations between. 



Fazzari, G. G. Mt. 23 (1885) 198-. 

 Similar arcs, Chasles's theorem, etc. Terquem, 



O. N. A. Mth. 3 (1844) 506-. 

 conies, properties. Nieuport, C. F. F. de. 



[1817] Brux. Ac. Sc. Mm. 1 (1820) 39-. 

 Special forms of conies. Taylor, C. [1866] 



QJ. Mth. 8 (1867) 126-, 343-. 

 . Salmon, G. [1866] QJ. Mth. 8 



(1867) 235-. 

 Straight lines conjugate to a conic and passing 



through same point, system. Gilles, L. N. 



A. Mth. 8 (1849) 87-. 

 connected with conies. Weisz,J.A. (xn) 



Mag. Tud. Ak. Ets. (1859) (SuppL, Mth. 



Term.) 312-. 

 , characteristic points. Servais, 



C. Brux. Ac. Bll. 19 (1890) 519-. 

 Symbolic treatment of problem in conies. 



Schmidt, C. Z. Mth. Ps. 34 (1889) 365-, 



385. 

 Systems of lines and surfaces, certain. Lazzeri, 



G. Palermo Cir. Mt. Ed. 2 (1888) 110-. 



Tangents. 



Woestyn, A. C. N. A. Mth. 4 (1845) 244-. 

 Steczkowski, J. K. Grunert Arch. 34 



Laisant, C. A. As. Fr. C. E. (1888) (Ft. 2) 113-. 



Common tangents of circle and conic, con- 

 struction. Schirek, C. Arch. Mth. Ps. 69 

 (1883) 408-. 



496 



