7210 Properties of Conies 



Pascal's hexagram, Steiner points of. Grass- 

 mann, H. Crelle J. 58 (1861) 174-. 



, . Snyder, V. N. Y. Am. Mth. 



S. Bll. 4 (1898) 441-. 



, theorems. Lazzeri, G. Ven. I. At. 

 (1884-85) 481-. 



theorem. Plucker, J. Crelle J. 34 (1847) 

 337-. 



. Sylvester, J. J. Ph. Mg. 37 (1850) 



- . Hesse, L. 0. 



Crelle J. 41 (1851) 

 QJ. Mth. 9 (1868) 



. Cayley, A. 

 348-. 



. Bauer, G. Miinch. Ak. Ab. 11 (1874) 



(Ab. 3) 109-. 

 . Dufau, H. N. A. Mth. 1 (1882) 



99-. 

 . Heger, R. Z. Mth. Ps. 30 (1885) 



279-. 

 . Gordan, P. [1895] D. Mth. Vr. Jbr. 4 



(1897) 155-. 

 , analogues. Clifford, W. K. QJ. Mth. 6 



(1863) 216-. 

 in analysis. Planck, . Grunert Arch. 



18 (1852) 335-. 



, analytical extension. Hesse, L. O. 

 [1871] Miinch. Ab. 11 (1873) 175-. 



and another. Ferrers, N. M. QJ. Mth. 1 



(1857) 77-. 



Brianchon's. Gergonne, J. D. Ger- 

 gonne A. Mth. 4 (1813-14) 78-, 381-. 



, analogue, new. Serret, P. C. R. 



82 (1876) 208-. 



, and construction of conies. 

 Koutny, E. Wien Ak. Sb. 71 (1875) (Ab. 2) 

 491-. 



, elementary demonstration . Haase , 



K. Ts. Mth. 3 (1885) 23-. 



, graphic determination of conies 

 by. Fiedler, W. Schlomilch Z. 6 (1861) 

 415-. 



, synthesis of, priority claim for 



Catalan. Folie, F. Brux. Ac. Bll. 46 (1878) 



379-. 

 Cayley's, reciprocity. Hesse, L. 0. 



[1867] Crelle J. 68 (1868) 193-. 

 , deductions. Steiner, J. N. A. Mth. 



11 (1852) 163-. 



, demonstration. Rutherford, W. Ph. 

 Mg. 22 (1843) 168-. 



, . Cayley, A. Camb. Mth. J. 4 (1845) 



18-. 

 , (Cayley). Muir, T. Edinb. R. S. 



P. 17 (1891) 18-. 

 , , elementary. Zeuthen, H. G. (xn) 



Ts. Mth. 1 (1883) 78-. 



, by indeterminate coordinates. 

 Sylvester, J. J. Ph. Mg. 37 (1850) 212. 



and Desargues's, extension. Folie, F. 



Brux. Ac. Bll. 36 (1873) 620-. 



, extension to geometry of space. Petot , A. 



Par. EC. Norm. A. 5 (1888) (Suppl.) 65 pp. 

 , generalisation. Mobius, A. F. Leip. 



B. 1 (1846) 170-. 

 , . Hamilton, (Sir) W. R. Ir. Ac. P. 



5 (1853) 100-. 



Poles and Polars 7210 



Pascal's theorem, generalisation. Serret, P. 



C. R. 119 (1894) 454-. 

 , giving nine points. Aubert, . N. 



A. Mth. 8 (1889) 529-. 



, notation. Cayley, A. QJ. Mth. 9 

 (1868) 268-. 



and others, in trilinear coordinates. 

 Grunert, J. A. Arch. Mth. Ps. 53 (1871) 

 395-, 443-. 



, pentagon, complete. Drach, C. A. 

 von. Mth. A. 5 (1872) 404-. 



6 points on conic, analytical relations. Hesse, 

 L. 0. Bll. S. Mth. As. 1 (1870) 33-. 



and mystic hexagram. Scholtz, A. 



[1877] Arch. Mth. Ps. 62 (1878) 317-. 



(Scholtz). Hunyady, J. 



(xn) Mag. Tud. Ak. Ets. 11 (No. 3) (1877) 

 30-. 



Spherical analogues. Thieme, F. E. Arch. 

 Mth. Ps. 60 (1877) 43-. 



Steiner' s theorems. Gopel, A. Grunert Arch. 

 6 (1845) 87-. 



Substitutions of n letters, particularly for 

 =3, 4, 5, 6, in relation to groups of mystic 

 hexagram, geometrical interpretation. Vero- 

 nese, G. A. Mt. 11 (1882-83) 93-. 



3iprocation. Taylor, C. Mess. Mth. 1 



(1872) 152. 

 Points, circular, at infinity. Roberts, S. QJ. 



Mth. 3 (1860) 90-. 

 , , . Whitworth, W. A. Mess. Mth. 



4 (1868) 91-. 



of conic, situated on one circle. Cazamian, 

 A. N. A. Mth. 13 (1894) 386-. 



, special pairs on axes of central conies. 



Meyer, T. D. Nf. Vh. (1891) (Th. 2) 542-. 

 , 7, of conic, general relation. Tarry, G. 



C. R. 94 (1882) 941-. 

 , 8, of conic. Cayley, A. Crelle J. 55 



(1866) 180- ; QJ. Mth. 11 (1871) 344-. 



Polars and Polar Reciprocals. 



Olivier, T. [1827] Ferussac Bll. Sc. Mth. 15 



(1831) 214-. 



Lecomte, L. Liege Mm. S, Sc. 2 (1845-46) 36-. 

 Kilpper, C. Grunert Arch. 28 (1857) 261-. 

 Hain, E. [1880] Arch. Mth. Ps. 66 (1881) 



274-. 

 Applications. Dandelin, G. P. Quetelet Cor. 



Mth. 3 (1827) 277-. 

 Conies harmonic to given conies. Ovidio, E. d\ 



G. Mt. 2 (1864) 58-. 



with imaginary elements. Schober, K. Mh. 

 Mth. Ps. 2 (1891) 469-. 



Conjugate (i.e. polar reciprocal) conies. Retali, 

 V. Bologna Ac. Sc. Mm. 6 (1884) 189-. 



conies, properties. Ruflini, F. P. Bologna 

 Ac. Sc. Mm. 9 (1888) 499-. 



Inclined polars. Dewulf, . N. A. Mth. 18 



(1859) 322- ; 19 (1860) 175-. 

 Polar conies, certain. Ruffini, F. P. Bologna 



Ac. Sc. Mm. 7 (1886) 753-. 



constructions, some. Morley, E. Mth. A. 

 51 (1899) 410-. 



493 



