7210 Porisms 



Properties of Conies 



7210 



Lelieuvre, M. Ens. Mth. 2 (1900) 410-. 

 Petr, K. Prag Ceske Ak. FT. Jos. Ez. (Trida 



2) 9 (1900) Art. 2, 23 pp. ; Fschr. Mth. (1900) 



582. 

 Application of function (Qu. Vivanti, G. 



Palermo Cir. Mt. Ed. 7 (1893) 61- 

 Bibliographical and historical notes. Loria, G. 



Bb. Mth. (1889) 67-. 

 Characteristics, theory. Halphen, G. H. [1878] 



Par. S. Phlm. Bll. 3 (1879) 17-. 

 Conic of pentagon, porism. Terquem, O. N. 



A. Mth. 7 (1848) 106-. 

 Equations, porismatic, systems of. Wolsten- 



holme, (Rev.) J. L. Mth. S. P. 4 (1871-73) 



312- ; (xi) 5 (1873-74) 35-. 



, trigonometrical, system, with application 

 to porisms of coaxal conies. Wolstenholme, 

 (Rev.) J. QJ. Mth. 10 (1870) 356-; 11 (1871) 

 66-. 



Historical notes. Mackay, J. S. Edinb. Mth. 



S. P. 5 (1887) 62-. 

 Invariant relations. Kluyver, J. C. N. Arch. 



Wisk. 15 (1888) 37-; Fschr. Mth. (1888) 



728-. 

 Irregular polygon, porism. Trudi, N. Nap. 



Ed. 2 (1843) 89-. 

 Metrical properties. Halphen, G. H. Liouv. 



J. Mth. 5 (1879) 285-. 

 Parabola and circle, porismatic polygons of. 



Poncelct, J. V. Gergonne A. Mth. 8 (1817- 



18) 68-. 

 Poncelet's polygons of circles. Plank, . 



Grunert Arch. 19 (1852) 7-. 



--- . Puiseux, V. A. (xn) Brux. S. 

 Sc. A. 3 (1879) (Pt. 2) 1-. 



theorem. Andreev, K. A. Kharkov Mth. 

 S. Com. (1884) 123- ; Fschr. Mth. (1884) 

 556. 



-- on 2 conies. Neuberg, J. Mathesis 15 



(1895) 13-. 

 -- , demonstration. Serret, P. C. E. 53 



(1861) 507-. 

 -- , . Talayrach, F. N. A. Mth. 19 



(1880) 280-. 



theorems. Trudi, N. G. Mt. 1 (1863) 81-, 

 125-. 



, and elimination problem. Trudi, N. 

 Nap. At. Ac. 1 (1863) No. 6, 53 pp. 



Porismatic polygons in plane or sphere. Berg, 

 F. J. van den. N. Arch. Wisk. 14 (1888) 

 95-, 125- ; Fschr. Mth. (1887) 725-. 



problems. Juel, C. N. Ts. Mth. 1 (B) 

 (1890) 11-; Fschr. Mth. (1890) 660-. 



Projective properties, some. Kohn, G. Wien 



Ak. Sb. 100 (1891) (Ab. 2a) 6-. 

 Eelation, porismatic, between 2 conies, in- 



variants. Wolstenholme, (Rev.) J. [1876] 



L. Mth. S. P. 8 (1876-77) 136-. 

 Steiner's and Poncelet's polygons, a connexion 



between. Thomae, J. Leip. Mth. Ps. B. 47 



(1895) 352-. 

 Theorem of Jacobi. Thijn, A. van. N. Arch. 



Wisk. 1 (1895) 217- ; Fschr. Mth. (1893-94) 



1107. 



Triangles, porism. Cayley, A. Ph. Mg. 9 

 . Mth. 1 



Triangles, porism. Salmon, G. Phil. Mg. 13 



(1857) 190-, 267-. 



, . Hart, A. S. QJ. Mth. 2 (1858) 143. 

 , . Cayley, A. B. A. Ep. 34 (1864) (Sect.) 



1 ; 40 (1870) (Sect.) 9- ; Phil. Trans. 161 



(1871) 369-. 

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



253-. 

 , , new view of. Wolstenholme, (Rev.) J. 



[1874] L. Mth. S. P. 6 (1874-75) 9-. ' 

 , porismatic relation for, proof. Lhuilier, S. 



Gergonne A. Mth. 1 (1810-11) 149-. 



(1855) 513- ; 13 (1857) 19-; QJ. 

 (1857) 344-; 2 (1858) 31-. 



Power of a point with reference to central 

 conic. Barbarin, P. (xii) Mathesis 1 

 (1881) 85-. 



Projection, central, of conies. Moshammer, K. 

 Wien Sb. 49 (1864) (Ab. 2) 372-. 



of conic is a conic, demonstration. Lean, . 

 Par. S. Phlm. Bll. 1 (1899) 87-. 



conies as curved figures. Gopel, A. 

 Crelle J. 36 (1848) 317-. 



ellipse, dependence on direction of pro- 

 jecting lines and position of plane of pro- 

 jection. Weinmeister , P. Arch. Mth. Ps. 

 10 (1891) 380-. 



Projections of circle, construction of axes. 

 Lazarski, M. [1882] (xn) Krk. Ak. (Mt.- 

 Prz.) Ez.- & Sp. 10 (1883) 148-, LIV-. 



, and their diameter. Peschka, G. A . 



von. Arch. Mth. Ps. 57 (1875) 63-. 



conies. Binder, W. Wien Ak. Sb. 81 



(1880) (Ab. 2) 648-. 



intersecting conies. Olivier, T. Stockh. 



Ak. Hndl. (1823) 5-. 



, polyconic, note on error. Johnson, W. W. 

 Des Moines Anal. 3 (1876) 15-. 



of sections of cones and cylinders. Koutny, 

 E. Z. Mth. Ps. 12 (1867) 195-. 



Projective properties (Poncelet's memoir). 



Cauchy, A. L. Gergonne A. Mth. 11 



(1820-21) 69-. 

 . Dandelin, G. P. Quetelet Cor. Mth. 3 



(1827) 9-. 

 . Wetzig, F. Schlomlich Z. 5 (1860) 



63-. 

 . Milinoicski, . Crelle J. Mth. 86 



(1879) 290-. 

 . Ponte Horta, F. da. G. Teix. J. Sc. 4 



(1883) 65-. 

 . Aubert, P. Edinb. Mth. S. P. 7 (1889) 



61-. 

 . Sondat, P. N. A. Mth. 14 (1895) 309-, 



507-. 

 . Zahradnlk, K. Casopis 28 (1899) 37-; 



Fschr. Mth. (1899) 481 ; Arch. Mth. Ps. 17 



(1900) 89-. 

 . Tresse, A. Par. S. Mth. Bll. 28 (1900) 



131-. 

 , certain. Pirondini, G. G. Teix. J. Sc. 



14 (1900) 75-. 

 , new. Carnoy, J. (xn) Brux. S. Sc. A. 



4 (1880) (Pt. 1) 60- ; (Pt. 2) 260-. 



relation involving its correlative. Halphen, 

 G. H. C. E. 83 (1876) 791-. 



theorem. Ascione, E. Palermo Cir. Mt. 

 Ed. 9 (1895) 208. 



495 



