7210 foci 



Properties of Conies 



Hyperbolas 7210 



Determination of foci and lengths of axes. 



Serret, P. N. A. Mth. 7 (1848) 302-. 

 , new. Dostor, G. Arch. Mth. Ps. 62 (1878) 



289-. 



and properties. Letnikow, A. V. N. A. 

 Mth. 20 (1881) 289-. 



Distances from 4 points or 4 tangents. Anto- 

 mari, X. N. A. Mth. 2 (1883) 193-, 337-, 

 385-. 



Ellipse, foci, theorem. Serret, P. N. A. Mth. 

 4 (1845) 648-. 



Focal circles. Mention, J. [1857] St Pet. Ac. 

 Sc. Bll. 16 (1858) 29-. 



, angular properties. Barbarin, P. As. 



Fr. C. B. (1898) (Pt. 2) 132-. 



curves of families of conies. Bobek, K. 

 Mh. Mth. Ps. 3 (1892) 309-. 



, Quetelet's, of conies in right cones. 

 Pelz, C. Wien Ak. Sb. 97 (1889) (Ab. 2a) 



line, parabolic. Dandelin, G. P. Brux. 

 Mm. Ac. Sc. 2 (1822) 171-. 



properties. Grunert, J. A. Arch. Mth. Ps. 

 54 (1872) 183-. 



. Laisant, C. A. Par. S. Phlm. Bll. 2 



(1890) 182-. 



of conies in protective metrics. Ovidio, 



E. d\ Tor. Ac. Sc. At. 26 (1891) 339-. 



, Dupin's space-extension of. Larmor, 



J. L. Mth. S. P. 18 (1886-87) 363-. 



Foci and directrices. Davies, T. S. Ph. Mg. 

 22 (1843) 25-. 



of conies represented by general equa- 

 tion, etc. Dostor, G. Arch. Mth. Ps. 63 

 (1879) 113-. 



focal circles. Antomari, X. N. A. Mth. 

 1 (1882) 102-. 



lines. Chasles, M. Brux. Ac. Bll. 2 



(1835) 35-. 

 Generalisation of theory. Transon, (Prof.) A. 



Liouv. J. Mth. 4 (1839) 457-. 

 Imaginary foci of central conies, properties. 



Rogel, F. Arch. Mth. Ps. 13 (1895) 297-. 



line through circular point at infinity. 

 McMahon, J. A. Mth. 4 (1888) 91. 



In- and circum-conics of triangle, four groups 



of foci. Lemoine, E. As. Fr. C. E. (1883) 



122-. 

 Locus problem. Terquem, 0. N. A. Mth. 9 



(1850) 252-. 

 Parabola, focal property. Retail, V. G. Mt. 



22 (1884) 217-. 

 , foci and directrices. Terquem, O. N. A. 



Mth. 8 (1849) 121-. 

 , , theorem. Serret, P. N. A. Mth. 4 



(1845) 652-. 

 Pedal of conic referred to focus. Picquet, H. 



N. A. Mth. 5 (1866) 145-. 



curves, foci. Ruffini, F. Bologna Ed. 

 (1891-92) 60-. 



Trilinears, foci, axes and asymptotes in. 

 Jeffery, H. M. QJ. Mth. 8 (1867) 348-. 



Formulae, elementary. Beltrami, E. G. Mt. 



9 (1871) 341-. 

 General properties. Chasles, M. Guetelet Cor. 



Mth. 5 (1829) 6-. 

 . Booth, J. Ir. Ac. P. 1 (1841) 53-. 



property. Molins, H. Toul. Mm. Ac. 4 

 (1854) 193-. 



Generation of conies by circle or other conies, 



etc. [Schiappa] Monteiro, A. G. Teix. J. 



Sc. 4 (1883) 95-. 

 elementary geometry. Derode, V. 



Lille Mm. S. (1838) 25-. 

 intersection of 2 straight lines. 



Raymond, G. M. Gergonne A. Mth. 2 



(1811-12) 360-. 



method for conies, generalisation. Schlegel, 

 S. F. V. Z. Mth. Ps. 23 (1878) 402-. 



Harmonic middle points of second degree, 

 series of. Slawyk, R. Z. Mth. Ps. (Suppl.) 

 29 (1884) 1-. 



and other properties of conies. Sollertimky, 

 . Mathesis 11 (1891) 177-. 



Homographic figures, theorem. Cayley, A. 

 QJ. Mth. 3 (1860) 177- . 



theorem. Terquem, O. N. A. Mth. 7 

 (1848) 447- ; 8 (1849) 96-. 



Homography and duality applied to metric 

 properties of plane. Ripert, L. N. A. Mth. 

 18 (1899) 101-. 



Hyperbolas. 



Apollonian hyperbola, property deduced from 

 analytical geometry. San Bertolo, N. Em. 

 At. N. Line. 19 (1866) 101-. 



Conjugate hyperbolas. T. (vi Adds.) Glean- 

 ings Sc. 1 (1831) 161-, 213-. 



Construction. Seipp, H. Arch. Mth. Ps. 5 

 (1887) 172-. 



Properties, general. Roberts, W. Ir. Ac. P. 

 4 (1850) 247-. 



De Morgan, A. (vi Adds.) Ph. 

 33 (1848) 546-. 



ature. Giannattasio, F. Nap. At. Ac. 

 1 (1819) 317-. 



Eectangular hyperbola. Bobillier, . Ger- 

 gonne A. Mth. 19 (1828-29) 349-. 



. Mention, J. N. A. Mth. 4 (1865) 



30-. 



. Taylor, C. Mess. Mth. 1 (1872) 121-. 



. Servais, C. Brux. Ac. Bll. 19 (1890) 



759-. 



and circle, analogies. Transon, (Prof.) 



A. N. A. Mth. 5 (1846) 535-. 



, determination from 4 conditions. Brian- 



chon, C. J., & Poncelet, . Gergonne A. 



Mth. 11 (1820-21) 205-. 



Points of contact of inscribed spheres, foci as, ( . Seydewitz, F. Grunert 



demonstration of theorem. Fresenius, F. C. Arch. 3 (1843) 225-. 



Arch. Mth. Ps. 46 (1866) 321-. and its inverses. Cazamian, A. N. A. 



hi which pairs of corresponding points of Mth. 13 (1894) 265-, 



i i i- i ...'. 



two systems in circular relationship are 

 united, foci as. Siebeck, H. Grunert Arch. 

 33 (1859) 462-. 



, position in cone. Weyer, G. D. E. 

 Arch. Mth. Ps. 14 (1896) 139-. 



489 



