7210 



Conies. Contacts. Curvature 



7210 



Conies satisfying 5 conditions, construction. 



Lentheric, . (vi Adds.) Mntp. Ac. Sc. 



Mm. 5 (1861-63) 438. 

 ---- , . Chasles, M. C. K. 58 (1864) 



297-, 1167-. 



, ; and applications of higher 



geometry. Jonquieres, E. de. N. A. Mth. 



16 (1857) 116-. 

 Conjoint lines. Chasles, M. 



(1838) 385-. 

 Conjugate diameters, determination. Vauthier, 



. Toul. Mm. Ac. 3 (1834) 117-. 

 -- 5 properties. Dostor, G. N. JL Mth. 8 



-- , theorems in perspective, and focal pro- 

 perties of oblique cone. Chasles, M. Liouv. 

 J. Mth. 2 (1837) 388-. 



pairs of points. Eosanes, J. Z. Mth. Ps. 



17 (1872) 174-. 



Constant angle, staight lines cutting conies at. 



Schoute, P. H. Mathesis 7 (1887) 38-. 

 Construction by circles of curvature. Meyer, 



M. H. Grunert Arch. 24 (1855) 3-. 

 and general equation of conies. Schmitt, C. 



Arch. Mth. Ps. 43 (1865) 365-. 

 from imaginary elements. 



Circles, 2, and ellipse, tri-tangential system. 



Avillez, J. F. d>. Lisb. J. Sc. Mth. 4 (1897) 



166- ; Fschr. Mth. (1896) 434. 

 Conies having double contact. Steiner, J. 



Crelle J. 45 (1853) 212-. 



---- . Cayley, A. QJ. Mth. 3 (1860) 246-. 

 ---- with another conic. Lefebure de 



Fourcy, R. N. A. Mth. 13 (1874) 513-. 

 Liouv. J. Mth. 3 ----- two conies. Amodeo, F. G. 



Mt. 24 (1886) 346-. 

 ------ fixed conies, locus of their 



foci. Roberts, R. A. N. Y. Am. Mth. S. Bll. 



2 (1896) 98-. 

 -------- , systems. Bonnesen, T. 



N. Ts. Mth. 9 (B) (1898) 25-. 



and pencil of lines, contacts. Jonquieres, 

 E. de. Liouv. J. Mth. 4 (1859) 49-. 



through 3 points and having double contact 

 with given circle. Laguerre, E. N. A. Mth. 

 19 (1880) 347-. 



touching given conies. Lachlan, R. Mess. 

 Mth. 16 (1887) 140-. 



-- 2, 3, or 4 conies, construction. Niemt- 

 schik, R. Wien Ak. Sb. 69 (1874) (Ab. 2) 



Mh. 



Mh. Mth. 



Euth, F. 



Mth. Ps. 3 (1892) 81-. 

 --- , with ruler. Spath, F. 



Ps. 1 (1890) 237-. 

 ---- , -- . Machovec, F. Mh. Mth. 



Ps. 4 (1893) 95-. 



, mechanical. Guest, J. J. Cn. E. S. P. & 

 T. 2 (1896) (Sect. 3) 25-. 



, methods. Jiirges, W. Z. Mth. Ps. 38 

 (1893) 350-. 



, new method. Transon, A 

 (1873) 5-. 



N. A. Mth. 12 



Contact of 2nd and 3rd orders. Retali, V. 



Mathesis 12 (1892) 178-, 219-. 

 -- 3rd order, porismatic property of conies 



having. Sylvester, J. J. (vi Adds.) Ph. 



Mg. 37 (1850) 438-. 



property of eleven-point conic. Allardice, 

 R. E. Edinb. Mth. S. P. 10 (1892) 37-. 



relations of systems of circles and conies. 

 Orr, W. McF. [1891] Camb. Ph. S. T. 16 

 (1898) 95-. 



Double and four-point contact of two conies. 

 Retali, V. Liege S. Sc. Mm. 18 (1895) A T o. 8, 



from points, by means of planaltimetry. 35 pp. 



Rossi Re, V. de. Km. N. Line. At. 29 (1876) Generalised problem. Jeffery, H. M. QJ. Mth. 



23 (1889) 358-. 

 Koutny, E. Wien 



Curvature of Conies. 

 (See also 8430.) 



240-. 



and tangents. 



Sb. 57 (1868) (Ab. 2) 469-. 

 , problem. Jonquieres, E. de. N. A. Mth. 



18 (1859) 404-. 

 Constructions. Fiedler, W. Ziir. Vjschr. 35 



(1890) 322-. 

 , and solutions of graphic problems. Genty, 



. N. A. Mth. 19 (1880) 216-. 



Contacts. 



Pliicker, J. Gergonne A. Mth. 17 (1826-27) 



37-. 

 (Chasles.) Cayley, A. B. A. Kp. 34 (1864) 



(Sect.) 1. 

 Wasserschleben, (Maj.) von. Arch. Mth. Ps. 



60 (1877) 410-. 

 Apollonian problem, extension, and conies. 



Fiedler. W. Ziir. Vjschr. 24 (1879) 190- ; 



25 (1880) 217-. 

 Circles bitangent to conic. Heilermann, . 



Crelle J. 56 (1859) 365-. 

 . Le Besgue, V. A. N. A. Mth. 4 



(1865) 161-. 

 . Sparer, B. Z. Mth. Ps. 41 (1896) 



210-. 



conies, theorem, etc. Steiner, J. 

 Crelle J. 45 (1853) 189-. 



Servais, C. Brux. Ac. Bll. 19 (1890) 231-, 



529-; 23 (1892) 243-. 

 Centres of curvature. Boschi, P. Bologna Ac. 



Sc. Mm. 3 (1881) 579-. 

 . Machovec, F. Prag Sb. (1884) (Mth.- 



Nt.) 345- ; Fschr. Mth. (1885) 625-. 



, construction. Schirek, C. Arch. 

 Mth. Ps. 3 (1886) 318-. 



, _. Janisch, E. Mh. Mth. Ps. 10 



(1899) 182-. 

 , parallels to tangent through, theorem. 



Siacci, F. G. Arcad. 18 (1860) 166-. 

 Circle of curvature of ellipse, theorems. Janni, 



V. (vra) Tortolini A. 4 (1861) 199-. 



through 3 points of ellipse and circle of 

 curvature. Grunert, J. A. Grunert Arch. 

 37 (1861) 255-. 



Circles of curvature. Weiler, A. Z. Mth. Ps. 

 34 (1889) 1-, 177-, 282-. 



, Lamarle's construction. Grunert, 

 J. A. Grunert Arch. 30 (1858) 296-. 



Concurrent chords of curvature. Servais, C. 

 Mathesis 17 (1897) 222-. 



485 



