7210 



Properties of Conies 



Foci 7210 



Axes in space, equation. Geiser, C. F. [1876] 



A. Mt. 8 (1877) 113-. 

 Biangular coordinates. Jeffery, H. M. [1874] 



QJ. Mth. 13 (1875) 130-. 

 Chord, polar equation. Frost, P. Camb. and 



Dubl. Mth. J. 1 (1846) 68-. 

 Condition that 6 points lie on a conic, forms of 



equation. Hunyady, J. [E. von] . (xn) Mag. 



Tud. Ak. Etk. (Mth.) 4 (1877) (No. 6) 23 pp. ; 



5 (1879) (No. 4) 20 pp. ; (x) Crelle J. Mth. 



83 (1877) 76- ; 92 (1882) 307-. 

 Conic through 5 points, equation. Gaskin, T. 



Mathematician 3 (1850) 134-. 

 , . Terquem, O. (vi Adds.) N. 



A. Mth. 16 (1857) 418-. 

 Conies, (p, r) equation. Warren, J. W. QJ. 



Mth. 13 (1875) 16-. 



touching several straight lines, form of 

 equations. Vieille, J. N. A. Mth. 20 (1861) 

 236-. 



Determination of equation. Eaymond, G. M. 



Gergonne A. Mth. 1 (1810-11) 180-, 233-. 

 Director circle, equation. Wolstenholme, (Rev.) 



J. L. Mth. S. P. 13 (1881-82) 185-. 

 Directrices and foci, equations. Eurenius, 



A. G. J. [1873] (rx) QJ. Mth. 13 (1875) 



198-. 

 , . Wolstenholme, (Rev.) J. L. 



Mth. S. P. 11 (1879-80) 102-. 

 latera recta, and note on director circle. 



Genese, R. W. B. A. Kp. (1880) 480- . 

 Discussion from equations of axes. Guillaumet, 



. N. A. Mth. 16 (1857) 59-. 

 Ellipse, area, general equation. Grunert, J. A. 



Arch. Mth. Ps. 53 (1871) 390-. 

 , equation to system of 4 normals. Crofton, 



. N. A. Mth. 1 (1862) 449-. 

 Elliptic and hyperbolic sectors, analogous 



properties of coordinates. Wallace, (Prof.) 



W. [1839] Edinb. R. S. T. 14 (1840) 



431. 

 Equation, certain forms. Cayley, A. QJ. 



Mth. 2 (1858) 44-. 



of 4th order (Gerono). Tychsen, C. Mth. 

 Ts. 1 (1859) 141-. 



Equations, and relations of identity. Terquem, 



O. N. A. Mth. 1 (1842) 489- ; 2 (1843) 26-, 



106-, 300-, 425-, 532-; 3 (1844) 416-, 



510- ; 4 (1845) 14-; 5 (1846) 618- ; 7 (1848) 



308-, 409-. 

 Focal coordinates and equations to axes in 



trilinear coordinates. Stoll, . Z. Mth. 



Ps. 38 (1893) 282-. 

 Foci of conies in trilinears. Ferrers, N. M. 



QJ. Mth. 4 (1861) 235-. 

 Homogeneous co-ordinates and invariants. 



Weyr, E. Casopis 24 (1895) 1-, 81- ; Fschr. 



Mth. (1895) 667-. 

 In-polygons of conies, analytical equations for 



sides. Hartenberger, G. Wien SB. 20 (1856) 



541-. 

 Parabola and ellipse, polar equations. Grunert, 



J. A. Grunert Arch. 1 (1841) 322-. 

 , equation, symmetrical form. G. Camb. 



Mth. J. 2 (1841) 14-. 

 Points of intersection and common tangents of 



two conies in trilinear coordinates. Versluys, 



J. Arch. Mth. Ps. 52 (1871) 377-. 



Polar coordinates. Rubini, R. Tortolini A. 

 4 (1853) 1-. 



equation, deduction of properties from. 

 Hittorf, W. Crelle J. 38 (1849) 89-. 



Reciprocal of equation. Cayley, A . Mess. 



Mth. 1 (1872) 120-. 

 Reduction. Cherriman, J. B. Cn. J. 1 (1856) 



286-. 

 Straight lines drawn from point to intersections 



of conic with straight line, equation. Dostor, 



G. Arch. Mth. Ps. 69 (1883) 427-. 

 Tangential equation. Terquem, O. N. A. 



Mth. 7 (1848) 277-. 



. Cayley, A. Crelle J. 39 (1850) 1-. 



Tangents to conies, polar equation. Frost, P. 



(vi Adds.) Camb. Mth. J. 4 (1845) 112-. 



from a point to a conic, equation. Dostor, 

 G. Arch. Mth. Ps. 57 (1875) 191-. 



Transformations of equation. Martynowski, J. 

 Liege Mm. S. Sc. 1 (1843) 177-. 



Evolution (quasi involution). Folie, F. Brux. 

 Ac. Ml. 43 (1877) 500- ; 44 (1877) 181-. 



Foci. 



Morton, P. [1829] Camb. Ph. S. T. 3 (1830) 



185- . 

 (Apollonius.) Terquem, 0. N. A. Mth. 3 



(1844) 412-. 



Chasles, M. C. R. 22 (1846) 894-. 

 Humbert, E. N. A. Mth. 4 (1885) 138-. 

 Schoute, P. H. Mathesis 11 (1891) 129-. 

 Cone of revolution, section of, construction for 



foci. Engler, E. A. [1892] St Louis Ac. 



T. 6 (1895) 49-. 

 Cones and cylinders, circular, locus of foci of 



sections through given point, etc. Schubert, 



E. Gould As. J. 4 (1856) 130-. 

 Conic with given focus and triple contact with 



given conic. Hofmann, F. [1881] Arch. 



Mth. Ps. 67 (1882) 332-. 



satisfying 3 conditions, formulas connecting 

 foci. Burnside, W. S. QJ. Mth. 8 (1867) 

 31-. 



Cormet's focal theorem. Dewulf, . N. A. 



Mth. 17 (1858) 435-. 

 Determination. Hensley, P. J. [1861] QJ. 



Mth. 5 (1862) 177-. 



. Salmon, G. QJ. Mth. 5 (1862) 307-. 

 . St. Germain, A. de. N. A. Mth. " 



230-. 

 . Dostor, G. Arch. Mth. Ps. 69 (1883) 



432-. 

 . Lez, H. As. Fr. C. R. (1895) (Pt. 2) 



267-. 

 , analytical. Bret, . Gergonne A. Mth. 



8 (1817-18) 317-. 

 , , and definition. Emelen, L. van. Ens. 



Mth. 2 (1900) 423-. 



of foci and axes. Smith, C. A. QJ. Mth. 

 12 (1873) 240-. 



, directrices, and axes (PI ticker). Lac 



de Bosredon, V. Mathesis 10 (1890) 265-. 



, , characteristics. Grunert, J. A. 



Grunert Arch. 25 (1855) 262-; 30 (1858) 



488 



