7210 



Properties of Conies 



7210 



Axes of conies. Lolli,C. G. Mt. 28 (1890) 193-. 

 . Jefdbek, V. Casopis 28 (1899) 351- ; 



Fschr. Mth. (1899) 481-. 

 , determination. Pelz, C. Wien Ak. 



Sb. 73 (1876) (Ab. 2) 379-. 

 , formulae. Rochat, . Gergonne A. Mth. 



2 (1811-12) 331-. 

 , (Eochat, addition to). Gergonne, J. D. 



Gergonne A. Mth. 2 (1811-12) 335-. 

 , (Kochat and Dubourquet). Bret, . 



Gergonne A. Mth. 3 (1812-13) 31-. 

 , minor axis, determination from major axis 



and perimeter. Clement, L. A. Cond. Pon. 



Chauss. 8 (1864) 305-. 

 Central conies, trigonometrical formulae. Egidi, 



G. Em. N. Line. At. 37 (1884) 295-. 

 Centres of similitude and radical axes. Collins, 



M. Camb. (M.) Mth. M. 1 (1859) 268-. 

 , theorems. Terquem, O. N. A. Mth. 4 



(1845) 260-, 304- , 322-, 371-. 

 Chasles, application of a theorem of. Balitrand, 



. Mathesis 14 (1894) 62-, 81-. 

 Chords, common, of conic and circle of curva- 

 ture. Grunert, J. A. Arch. Mth. Ps. 50 



(1869) 69-. 

 , , zero radius. Ocagne, 



M. d\ Edinb. Mth. S. P. 5 (1887) 84-. 



of conies and of parabola. A modeo, F. A. 

 Mth. 4 (1888) 92. 



at right angles, note. Steiner, J. N. A. 

 Mth. 9 (1850) 407-. 



, supplemental. Ponte-Horta, F. da. Lisb. 

 J. Sc. Mth. 2 (1870) 169-. 



Conies determined by given Points or Tangents, 

 and Methods of Determination.. 



Conies enveloped by rays joining homologous 



points, discrimination. Chrystal, G. Edinb. 



Mth. S. P. 2 (1884) 47-. 

 , given centre and in-, circum-, or polar 



triangle, properties. Schroeter, H. Z. Mth. 



Ps. 29 (1884) 160-. 



by a diameter and conjugate chord, 

 relation of straight lines to. Barchanek, C. 

 Wien Ak. Sb. 79 (1879) (Ab. 2) 712-. 



imaginary points and tangents, con- 

 struction. Staudigl, R. Wien Sb. 61 (1870) 

 (Ab. 2) 607-. 



points or tangents. Jonquieres, E. de. 



N. A. Mth. 18 (1859) 215-. 

 through certain points, theorem. Valeri, D. 



Mod. Ac. Sc. Mm. 7 (1890) 181-. 



touching 4 lines. Arndt, F. Grunert Arch. 

 8 (1846) 342-. 



Criteria for species of conic. Hart, H. Mess. 

 Mth. 10 (1881) 90-. 



determined from points or 

 tangents. Hunyady, J. (xn) Mag. Tud. 

 Ak. Etk. (Mth.) 7 (1881) (No. 25) 17 pp. 



Determination of conies. Dillner, G. Ups. 



Arsk. (1863) (Mth.) 45 pp. 

 9 line conic. Ladd, (Miss) C. Des Moines 



Anal. 7 (1880) 147-. 

 and 9 point conic. Cassani, P. G. Mt. 



7(1869)369-; 8(1870)374-. 



Number determined by points, tangents and 

 normals. Wiman, A. Z. Mth. Ps. 40 (1895) 

 296-. 



1 point and 3 tangents given, conies with. 

 Cayley, A. QJ. Mth. 8 (1867) 220- . 



2 points and 2 tangents given, conies with. 

 Cayley, A. QJ. Mth. 8 (1867) 211-. 



3 points and centre given, Steiner's criterion. 

 Hunyady, J. [E. von]. [1880] (xn) Mag. 

 Tud. Ak. Etk. (Mth.) 1 (1881) (No. 24) 13 pp. 

 (x) Crelle J. Mth. 91 (1881) 248-. 



, . Halphen, G. H. [1881] 



B. A. Ep. (1881) 532- ; Par. S. Phlm. Bll. 6 



(1882) 19-. 

 focus given, construction (Halley's 



problem). Housel, . N. A. Mth. 14 (1855) 



425-. 

 , . Grunert, J. A. Arch. 



Mth. Ps. 54 (1872) 99-. 

 , theorems, proof. Jonquieres, 



E. de. N. A. Mth. 14 (1855) 440-. 

 1 tangent given, conies with. Cayley, 



A. (i) QJ. Mth. 6 (1864) 24-. 

 2 tangents given, conies with. Bruno, 



G. Tor. Ac. Sc. At. 17 (1881) 29-. 



4 points and 1 tangent given, Newton's method. 



Grunert, J. A. Arch. Mth. Ps. 65 (1880) 1-. 



2 tangents given, conies with. Cayley, 



A. [1863] (vn) QJ. Mth. 8 (1867) 162-. 



5 point conic. Grunert, J. A. Grunert Arch. 

 9 (1847) 293-; 24 (1855) 330- ; 27 (1856) 178-. 



. Schlimilch, 0. Leip. B. 7 (1855) 1-. 



, Newton's 1st method. Grunert, J. A. 



Arch. Mth. Ps. 64 (1879) 337-. 



or 5 line conic, Mobius's criteria. 

 Hunyady, J. [E. von]. [1879] (xn) Mag. 

 Tud. Ak. Etk. (Mth.) 7 (1881) (No. 6) 15pp. ; 

 (x) Crelle J. 89 (1880) 70-. 



, for species. Durege, 



H. [1880] Wien Ak. Sb. 82 (1881) (Ab. 2) 

 123-. 



points, conic through any, theorem. Budden, 

 E. Mth. Gz. 1 (1900) 145-. 



9 point conic. Beltrami, E. Bologna Mm. Ao. 



2 (1862) 361- ; G. Mt. 1 (1863) 109-, 208-, 



354-. 

 . Grunert, J. A. Arch. Mth. Ps. 43 



(1865) 54-. 

 . Bocher, M. A. Mth. 6 (1891-92) 



132, 178. 

 . Boger, R. [1898] Hamb. Mth. Gs. 



Mt. 3 (1900) 346-. 



, generalisation of Feuerbach and 

 Steiner's theorems. Beltrami, E. Bologna 

 Ac. Sc. Mm. 5 (1874) 543-. 



and its stereometric sequel. Gretschel, 



H. Arch. Mth. Ps. 43 (1865) 293-. 



Conies, given, to obtain from given cone. Ponte 



Horta, F. da. Lisb. Ac. Sc. Mm. 3 (Pt. 2) 



(*1865) No. 2, 14 pp. 

 , and quadratic and cubic binary forms. 



Pittarelli, G. G. Mt. 21 (1883) 19-. 

 right cone, contributions to theory of. 



Ruth, F. Arch. Mth. Ps. 8 (1890) 1-. 

 satisfying a certain condition. Bauer, G. 



[1867] Crelle J. 68 (1868) 293-. 



484 



