7210 Properties of Conies 



Pascal and Brian chon Figures 7210 



Parabola connected with conic. Mannheim, . 

 Mess. Mth. 20 (1891) 45-. 



through 4 points, Mobius's theorem, ex- 

 ception. Clausen, T. As. Nr. 19 (1842) 

 375-. 



Parabolas in space. Grunert, J. A. Grunert 



Arch. 3 (1843) 408-. 



Parabolic arc of given span and height, con- 

 struction. Thallmayer, V. Dingier 223 



(1877) 148-. 

 Properties. Degen, C. F. [1821] Kiob. Dn. 



Vd. Selsk. Afh. 1 (1824) 121-. 

 . Lubbock, J. W. Ph. Mg. 9 (1836) 100-. 

 . Ellis, E. L. Camb. Mth. J. 1 (1839) 



204- ; (vi Adds.) 2 (1841) 48. 

 . Davies, T. S. Ph. Mg. 21 (1842) 190-. 

 . Eutherford, W. Mathematician 1 (1845) 



203-. 

 . Zeipel, E. von. Stockh. Ofv. 19 (1862) 



429-. 

 . Anglin, . Edinb. R. S. P. 20 (1895) 



35-. 



of hyperbola and parabola. Weddle, T. 

 Mathematician 3 (1850) 14-. 



Quadrature by pure geometry. Sasku , K. (xn) 



Mag. Ak. Ets. (Mth. Term.) 3 (1862) 218-. 

 Relation between corresponding ordinates of 



two. Tait, P. G. [1871] Edinb. R, S. P. 7 



(1872) 498-. 

 Tangents. Engler, E. A., & Holman, M. L. 



Am. J. Mth. 1 (1878) 379-. 

 Theorems. Weill, M. N. A. Mth. 19 (1880) 



367-, 442-. 

 , analytical proofs. Mathieu, J.J.A. N. A. 



Mth. 2 (1863) 466-. 

 , new, on parabola and hyperbola. Lucas, E. 



N. A. Mth. 15 (1876) 19-. 

 Triangle of tangents. Grunert, J. A. Arch. 



Mth. Ps. 47 (1867) 403-. 

 Trigonometry of parabola. Booth, J. Camb. 



and Dubl. Mth. J. 8 (1853) 65-; B. A. Rp. 



(1856) 68-. 

 . Gilnther, . D. Nf. Tbl. (*1881) 



[20]-. 

 Values of elements. Dostor, G. J. Tortolini 



A. 7 (1856) 269-. 

 Wallace's property, analytical investigation. 



Young, J. E. Ph. Mg. 11 (1837) 302-. 



Parameters. 



138-. , 

 Pascal's "Essais poi 



donald, W. J. Edi 



19-. 



Jacob, . N. A. Mth. 2 (1843) 



ur les coniques." Mac- 

 inb. Mth. S. P. 2 (1884) 



Pascal's hexagram, Brianchon's hexagon, and 

 connected figures. 



(See also 8075.) 



Brianchon's hexagon. Brianchon, C. J. Par. 



EC. Pol. Cor. 1 (1804-08) 307-. 

 hexagon. Walton, W. Camb. Mth J 4 



(1845) 163-. 

 . Frost, P. Camb. Mth. J. 4 (1845) 



Brianchon's theorem. Lubbock, J. W. Ph. 



Mg. 13 (1838) 83-. 

 . Mention, J. [1857] St Pet. Ac. S. Bll. 



16 (1858) 280-. 

 , application of abridged notation. Janni, 



V. G. Mt. 2 (1864) 253-. 



, generalisation. Brassinne, E. Toul. 

 Ac. Sc. Mm. 9 (1877) 453-. 



Conic and in-hexagon. Jacobi, C. G. J. 



Crelle J. 31 (1846) 178-. 

 In- and circum-hexagons of conic. Schlomilch, 



0. Grunert Arch. 3 (1843) 386-. 

 conies, and conic sections. Dandelin, 



G. P. Gergonne A. Mth. 15 (1824-25) 387-. 

 In-hexagon, complete. Kirkman, T. P. Camb. 



and Dubl. Mth. J. 5 (1850) 185-. 



of conic. Brioschi, F. N. A. Mth. 16 

 (1857) 269-. 



Mystic hexagram. Lebesgue, V. A. N. A. 



Mth. 8 (1849) 139-. 

 . Cremona, L. Rm. R. Ac. Line. T. 1 



(1877) 142-. 



, theorems. Steiner, J. Gergonne A. 

 Mth. 18 (1827-28) 339-. 



, , new. Veronese, G. Rm. R. Ac. 

 Line. Mm. 1 (1877) 649-. 



Octagram, conic. De Morgan, A. L. Mth. S. 



P. 2 (1869) 26-. 

 Pascal's hexagram. Brianchon, C. J. [1813] 



Par. EC. Pol. Cor. 3 (1814-16) 1-. 

 . Davies, T. S. Tilloch Ph. Mg. 68 



(1826) 333-. 

 . Lubbock, J. W. Ph. Mg. 6 (1829) 



249-. 

 . Adams, C. Grunert Arch. 5 (1844) 



323-. 

 . Haillecourt, A. N. A. Mth. 6 (1847) 



269-. 

 . Lilroth, J. Z. Mth. Ps. 10 (1865) 



. Ladd, (Miss) C. Am. J. Mth. 2 

 (1879) 1-. 



. Zanotti Bianco, O. Tor. Ac. Sc. At. 



21 (1885) 686-. 

 . Eichmond, H. W. Camb. Ph. S. T. 15 



(1894) 267-. 

 . Study, E. Leip. Mth. Ps. B. 47 (1895) 



532-. 

 and Brianchon's hexagon. Catalan, E. C. 



Brux. Ac. Bll. 46 (1878) 946-. 

 . Graefe, F. Crelle J. Mth. 93 



(1882) 184-. 

 , correlation. Sondat, P. N. 



A. Mth. 13 (1894) 121-. 

 , cases, two. Klug, L. Orv.-Termt. Ets. 



(Termt. Szak) (1899) 1-, (Ev.) 1-. 

 , configuration. Klug, L. Orv.-Termt. 



Ets. (Termt. Szak) (1897) 101-, (Ev.) 67-. 



deduced by stereometric theorems. 

 Cremona, L. Rm. R. Ac. Line. At. 1 (1877) 

 854-. 



, demonstrations. Weddle, T. Camb. 

 and Dubl. Mth. J. 3 (1848) 285- ; 4 (1849) 

 284-. 



, properties. Martinetti, V. Catania 

 Ac. Gioen At. 3 (1891) 31-. 



on sphere. Isely, L. Neuch. S. Sc. Bll. 



12 (1880) 533-. 



492 



