7210 Properties of Conies 



Triangle ABC, to find D in AB so that CD 2 : 

 rect. AD . BD in given ratio. Steiner, J. 

 Berl. Ab. (1847) (Mth.) 41-. 



Triangles, apolar, on conic. Morley, F. N. Y. 

 Am. Mth. S. Bll. 1 (1895) 116-. 



connected with conies, properties. Bertrand, 

 E. Mathesis 12 (1892) 130- ; 13 (1893) 155-. 



, 2 inscribed, theorem of Poncelet, generali- 

 sation. Kantor, S. [1878] Crelle J. Mth. 

 86 (1879) 269-. 



, multiply protective, in conies. Vdlyi, G. 

 Mth. Termt. Ets. 2 (1884) 170- ; Mth. Nt. B 

 Ung. 2 (*1883-84) 232-. 



, orthologic, etc. Lemoine, E. As. Fr. C. 

 E. (1890) (Pt. 2) 111-. 



, perspective, in conic. Klug, L. Arch. Mth. 

 Ps. 1 (1884) 292-. 



, polar, of one conic and inscribed in another 

 conic, property. Machovec, F. Casopis 16 

 (1887) 85- ; Fschr. Mth. (1887) 625. 



, , maximum ellipse has centre at centroid, 

 etc. Fazzari, G. G. Mt. 25 (1887) 305-. 



, reciprocal. Cayley, A. QJ. Mth. 1 (1857) 



, . Pasch, M. Z. Mth. Ps. 27 (1882) 



122-. 

 , , properties. Pietrocola, C. G. Mt. 25 



(1887) 183-. 



related to conies, properties. Bertrand, E. 

 Mathesis 12 (1892) 130- ; 13 (1893) 155-. 



, self -conjugate, common, of 2 conies, area. 



Leudesdorf, C. [1876] Mess. Mth. 6 (1877) 



151-. 

 , , MacCullagh's property. Casey, J. 



[1861] QJ. Mth. 5 (1862) 233-. 



whose sides contain poles conjugate with 

 respect to four conies. Siebeck, H. A. Mt. 

 (1868-69) 65-. 



, triply-homologous. Ripert, L. As. Fr. C. 

 R. (1900) (Pt. 2) 112- ; Mathesis 20 (1900) 

 226-; Par. S. Mth. Bll. 28 (1900) 196-. 



_, _. Third, J. A. Mathesis 20 (1900) 

 153- . 



Systems of Conies 7230 



Two conies, intersection 

 Mth. 13 (1894) 81-. 



Amigues, E. N. A. 



, , area of quadrilateral formed by 4 



points of. Leudesdorf, C. L. Mth. S. P. 8 



(1876-77) 205-. 

 , , construction. Niemtschik, R. Wien 



Sb. 59 (1869) (Ab. 2) 481-. 

 , , Tomes, F. Arch. Mth. Ps. 69 



(1883) 307-. 

 , i determination. Spitz, C. Grunert 



Arch. 32 (1859) 198-. 

 , , locus problem. Mention. J. N. A. 



Mth. 5 (1846) 136-. 

 in a plane. Krammer, G. (xn) Krk. Ak 



(Mt.-Prz.) Ez. & Sp. 6 (1880) 143-. 

 , radical axis. Ferrers, N. M. QJ. Mth. 



5 (1862) 312-. 

 , relation between coefficients of equation 



when 2 points of intersection are at infinity. 



Sioellengrebel, J. G. H. Grunert Arch. 16 



(1851) 321-. 

 , theory. Salmon, G. N. A. Mth. 17 



(1858) 83-. 

 , . Gerbaldi, F. A. Mt. 17 (1889-90) 



161-. 



Unreal points and tangents. Pauhts, C. Gru- 

 nert Arch. 22 (1853) 121-. 

 Values of elements. Dostor, G. J. Tortolini 



A. 7 (1856) 243-. 



7230 Systems of conies. (See also 

 8070 and 8090.) 



"Tripel" of conic, relation between theorems 



of Chasles and Steiner, and deductions. 



Schumann, A. Z. Mth. Ps. 27 (1882) 363-. 

 Two conies, common elements of, construction. 



Streissler, J. Arch. Mth. Ps. 68 (1882) 389-. 

 , , fundamental theorems on. 



Maccaferri, E. Palermo Cir. Mt. Ed. 9 



(1895)' 96-. 

 , points and tangents. Genese, R. W. 



L. Mth. S. P. 14 (1883) 235-. 

 , , reality. Gerbaldi, F. 



Palermo Cir. Mt. Ed. 1 (1887) 327-. 

 , , , condition for. Sforza, G. 



Palermo Cir. Mt. Ed. 2 (1888) 172-. 

 , correlations in indeterminate coordinates. 



Sylvester, J. J. Camb. and Dubl. Mth. J. 5 



(1850) 262-. 



, intersection. Rutherford, W. Mathe- 

 matician 1 (1845) 13-. 

 , . Joachimstlial, F. N. A. Mth. 9 



(1850) 169-. 

 , . Sylvester, J. J. 



Mth. J. 6 (1851) 18-. 



499 



Chasles, M. Gergonne A. Mth. 18 (1827-28) 



277-; 19 (1828-29) 26-. 

 Battaglini, G. [1866] Nap. At. Ac. 3 (1866-68) 



(No. 8) 45 pp. 



Zeuthen, H. G. C. E. 62 (1866) 177-. 

 [Salvatore-] Dino, N. C. E. 65 (1867) 499-. 

 Rosanes, J. Mth. A. 6 (1873) 264-. 

 Zimmermann, H. E. M. 0. Z. Mth. Ps. 28 



(1883) 56-. 



Del Pezzo, P. Nap. Ed. 23 (1884) 61-. 

 Burali-Forti, C. G. Mt. 24 (1886) 309-. 

 Ser, J. N. A. Mth. 19 (1900) 126-. 

 Axes of conies touching 3 or 4 straight lines, 



product. Molenbrock [Molenbroek], P. Ma- 



thesis 12 (1892) 33-. 

 , conjugate diameters, etc. of conies of a 



system. Mautner, J. [1879] Wien Ak. Sb. 



80 (1880) (Ab. 2) 973-. 

 Centre, locus of. Poncelet, J. V. Gergonne 



A. Mth. 12 (1821-22) 233-. 

 , (Poncelet). Gergonne, J. D. Ger- 

 gonne A. Mth. 12 (1821-22) 249-. 

 Centres of conies fulfilling certain conditions, 



loci. Ovidio, E. d'. G. Mt. 1 (1863) 265-. 

 Characteristics, analytical applications of 



method. Salvatore-Dino, N. Nap. Ed. 14 



(1875) 95-. 



of systems of conies. Zeuthen, H. G. N. 

 A. Mth. 5 (1866) 241-, 289-, 385-, 433-, 

 481-, 529-. 

 Camb. and Dubl. . Halphen, G. H. C. E. 83 



(1876) 537-. 



ii 2 



