7210 



Conies. Tangents. Triangles 



7210 



Common tangents of circle and conic, inter- 

 section. Mister, , <C Neuberg, . N. A. 



Mth. 2 (1863) 481-. 

 , . Le Cointe, . N. A. 



Mth. 19 (1880) 122-. 

 2 conies, theorem. Cayley,A. Camb. 



(M.) Mth. M. 1 (1859) 130-. 

 Ellipse of eccentricity e cos a, tangent, problem. 



Ellis, E. L. (vi Adds.) Camb. Mth. J. 3 



(1843) 94-. 

 , tangents, theorem. Gerono, G. C. N. A. 



Mth. 7 (1848) 68-. 

 General property. Gierman, S. Fschr. Mth. 



(1897) 526. 

 Locus of intersection of tangents containing 



constant angle. Tortolinl, B. Bm. At. 1 



(1847-48) 125-. 

 at given angle. Ficklin, J. Des 



Moines Anal. 2 (1875) 50-. 

 right angles (orthocycle) , 



Gaskin and Pliicker's properties. Taylor, C. 



QJ. Mth. 17 (1881) 134-. 

 Minimum tangent between two fixed tangents. 



Serret, P. N. A. Mth. 11 (1852) 123-. 

 Perpendicular tangents to 2 conies. Terquem, 



0. N. A. Mth. 8 (1849) 282-. 

 , intersection (orthoptic curve). Greiner, 



M. Arch. Mth. Ps. 57 (1875) 343-. 

 Properties. Eochat, . Gergonne A. Mth. 2 



(1811-12) 225-. 



of tangent and normal. Dostor, G. Arch. 

 Mth. Ps. 61 (1877) 160-. 



Property. Pour, J. Casopis 28 (1899) 209- ; 

 Fschr. Mth. (1899) 481. 



Tangents to conic that are normal to another 

 conic. Joly, H. Laus. S. Vd. Bll. 26 (1891) 

 1-. 



fixed conic and to variable conies, inter- 

 section. Darboux, G. N. A. Mth. 19 (1880) 

 184-. 



from points, construction. Grunert, J. A. 

 Grunert Arch. 32 (1859) 425-. 



4 points, theorems. Grunert, J. A. 

 Arch. Mth. Ps. 54 (1872) 375-. 



same point. Dostor, G. Arch. Mth. Ps. 



53 (1871) 90-, 98-. 



Tetrahedra and conies, elementary theory. 



Chelini, D. Bologna Ac. Sc. Mm. 5 (1874) 



223-. 

 Theorem of Pappus. Zahradnik, K. Casopis 



28 (1899) 111- ; Fschr. Mth. (1899) 516. 

 , its correlative and corollaries which 



may be deduced from it. Mundi y Giro, S. 



Barcel. Ac. Bl. 1 (1892-1900) 569-. 

 Theorems. Zeiithen, H. G. Mth. Ts. 5 (1863) 



69-. 

 . Bruno, G. Tor. At. Ac. Sc. 7 (1871-72) 



783-. 

 , derivation from circle. Milinowski, . 



Crelle J. Mth. 86 (1879) 108-. 



obtained by inversion. Stubbs, J. W. Ph. 

 Mg. 25 (1844) 208-. 



of Steiner. Heinen, F. Crelle J. 23 (1842) 

 289-. 



. Jonquieres, E. de. N. A. Mth. 15 



(1856) 94-, 190-. 



Theorems of Steiner. Stoll, . Z. Mth. Ps. 



33 (1888) 78-. 

 and Newton. Godefroy, E. N. A. 



Mth. 12 (1893) 137-. 

 Transformation of angles, method of reversion 



applied to. Taylor, C. [1875] QJ. Mth. 14 



conies into circles by projections. Lazar- 



ski, M. [1883] (xn) Krk. Ak. (Mt.-Prz.) 



Bz. & Sp. 11 (1884) 145-, L. 

 and curves, method. Ocagne, M. d\ 



G. Teix. J. Sc. 8 (1887) 104-. 

 , parabolic. Chasles, M. Quetelet Cor. Mth, 



5 (1829) 281- ; 6 (1830) 1-. 

 Transformations, application of comparative 



geometry. Mathieu, J. J. A. N. A. Mth. 



4 (1865) 393-, 481-, 529-. 

 Transversals of conic, theorems. Mandl, J. 



Mh. Mth. Ps. 9 (1898) 117-. 



Triangles, and related Conies. 

 (See also 6810.) 



Neuberg, J. N. A. Mth. 9 (1870) 53-. 

 Brocard triangle, generalised, conies related to. 



Mutter, A. Arch. Mth. Ps. 9 (1890) 113-. 

 Carnot's theorem. Laisant, C. A. N, A. Mth. 



9 (1890) 5-. 

 . Cazamian, A. N. A. Mth. 14 (1895) 



30-. 

 Ceva's theorem deduced from Carnot's. Eueda, 



C. J. Fschr. Mth. (1898) 433. 

 Circum-conic, minimum. Greiner, M. Z. Mth. 



Ps. 28 (1883) 281-. 

 Circum-conics. Tortolini, B. Tortolini A. 8 



(1857) 356-. 



conjugate to triangle. Salvatore-Dino, N. 

 Nap. Bd. 14 (1875) 134-. 



of triangles self -conjugate to another conic. 

 Smith, H. J. S. [1868] L. Mth. S. P. 2 

 (1869) 85-. 



Circum-ellipse, minimum. Anger, C. T. Gru- 

 nert Arch. 10 (1847) 178-. 

 , . Tortolini, B. A. Mt. 6 (1864) 



196-. 

 ) t a nd maximum in-ellipse. Hansen, C. 



Mth. Ts. 5 (1863) 37-. 

 , Steiner's and Lemoine's theorems. Droz- 



Farny, A. Bern Mt. (1900) 135-. 

 Circum-hyperbolas, two triplets. Tucker, E. 



Edinb. Mth. S. P. 12 (1894) 69-. 

 Circum- and polar triangles, property. Mertens, 



F. Wien Ak. Sb. 94 (1887) (Ab. 2) 794-. 

 Circum-triangle. Cay ley, A. QJ. Mth. 1 



(1857) 169-. 



formed by two fixed tangents and one 

 variable, remarkable points of. Meyer, T. 

 Arch. Mth. Ps. 8 (1890) 307-. 



Conic, line, and triangle. Cayley, A. Ph. Mg. 

 25 (1863) 181-. 



in plane of triangle. Longciiamps, G. de. 

 As. Fr. C. B. 1886 (Pt. 2) 69-. 



Conies conjugate with respect to triangle. 

 Painvin, L. N. A. Mth. 6 (1867) 433-. 



related to triangle. Lemoine, E. Mathesis 

 14 (1894) 153-. 



497 



II 



