7230 



Systems of Conies 



Confocals 7230 



Characteristics, systems represented by 2, 

 theorems. Chasles, M. C. R. 72 (1871) 511-. 



Concentric ellipses and hyperbolas, property. 

 Schlomilch, 0. X. Z. Mth. Ps. 26 (1881) 135-. 



rectangular hyperbolas, Eoberts's theorems, 

 demonstration. Serret, P. N. A. Mth. 8 

 (1849) 271-. 



Conditions of perpendicularity among series of 



lines, systems with. Chasles, M. C. B. 72 



(1871) 487-. 

 Conies with coefficients linear functions of 



two parameters. Remand, A. N. A. Mth. 



5 (1886) 424-. 



Conies with Common Focus or Foci. 



Confocal conies. Bobillier, . Gergonne A. 



Mth. 18 (1827-28) 185-. 

 . Chasles, M. Gergonne A. Mth. 18 



(1827-28) 269- ; Quetelet Cor. Mth. 7 (1832) 



295- ; N. A. Mth. 8 (1849) 214. 



. Cohn, S. Crelle J. 54 (1857) 329-. 



. Heilermann, . Schlomilch Z. 3 



(1858) 341-. 



. Kiipper,C. Schlomilch Z. 7 (1862) 239-. 



. Casey, J. [1864] Mess. Mth. 3 (1866) 



23-. 

 . Talbot, W. H. F. [1865] Edinb. R. S. 



T. 24 (1867) 53-. 

 . Taylor, C. [1865] Mess. Mth. 3 (1866) 



182- ; 4 (1868) 11-. 

 . Wolstenholme, J. QJ. Mth. 10 (1870) 



285-. 

 . Laguerre, E. Par. S. Mth. Bll. 7 



(1879) 66-. 

 . Hossfeld,C. Z. Mth. Ps. 28 (1883) 294-. 



and circles having common secants, 

 reciprocity. Hesse, L. 0. Munch. Ak. Ab. 

 11 (1874) (Ab. 3) 1-. 



derived cubic. Morley, F. Mess. 

 Mth. 16 (1887) 181-. 



, differential equation for, integration. 

 Guimaraes, R. Lisb. J. Sc. Mth. 5 (1898) 

 105-. 



, formula. Cayley, A. Mess. Mth. 



2 (1873) 157-. 



, Graves's theorem in analytical me- 

 chanics, generalisations. Staude, . Leip. 

 Mth. Ps. B. 38 (1886) 199-. 



, , historical note. Roberts, S. L. 



Mth. S. P. 12 (1880-81) 120-. 

 , 7- and MacCullagh's, demonstration 



and extension. Griffiths, J. L. Mth. S. P. 



13 (1881-82) 177-. 



, loci relative to parallel tangents. 

 Volpicelli, P. Bm. At. N. Line. 19 (1866) 

 26-, 53-, 249 [149]-, 219-, 268-. 



in projective metrics. Ovidio, E. d'. 

 Tor. Ac. Sc. At. 26 (1891) 426-. 



, theorem by Chasles. Lucas, E. N. A. 



Mth. 19 (1880) 397-. 



, theorems by Chasles, demonstration. 

 Reye, T. Ziir. Vjschr. 41 (1896) (Festschr. , 

 Th. 2) 65-. 



, 2, theorems of Mannheim. Ovidio, 

 E. d\ G. Mt. 7 (1869) 107-. 



, 3, confocal in pairs. Lucas, E. N. A. 



Mth. 19 (1880) 401-. 



Conies with variable coefficients, especially 



confocal conies. Terqnem, 0. N. A. Mth. 



4 (1845) 557-. 

 Mono-confocal conies. Keller, J. Ziir. Vjschr. 



27 (1882) 1-. 

 , orthogonal conjugate families. Keller, 



J. Ziir. Vjschr. 32 (1887) 33-. 

 , radii vectores of, theorem of Chasles. 



Gerono, G. C. N. A. Mth. 6 (1847) 150-. 

 , system. Keller, J. Z. Mth. Ps. 39 



(1894) 290-. 



Conies with 2 common points. Voss, (Dr) A. 

 [1872] Z. Mth. Ps. 18 (1873) 102-. 



, 3, with common points, invariant con- 

 ditions. Walker, J. J. L. Mth. S. P. 4 

 (1873) 404-. 



passing through 4 foci of given conic. 

 Cayley, A. QJ. Mth. 5 (1862) 275-. 



2 points (fixed), systems. Porchiesi, 



A. Bologna Ac. Sc. Mm. 3 (1881) 681-. 



3 points and touching given straight 



line, system. Hossfeld, C. Arch. Mth. Ps. 

 70 (1884) 253-. 



4 points, envelope of axes. Laguerre, 



E. N. A. Mth. 18 (1879) 206-. 



, equation. Arndt, F. Crelle 



J. 35 (1847) 83-. 

 , focal properties. Recoq, A. 



N. A. Mth. 5 (1866) 157-. 

 , foci. Cayley, A. Ph. Mg. 32 



(1866) 362-. 



, minimum case. Trudi, N. 

 Nap. Ac. Sc. Mm. 1 (1852-54) 237-. 



, system. Jacobi, C. G. J. Crelle 



J. 23 (1842) 243-. 

 : , . Cayley, A. QJ. Mth. 



2 (1858) 206-. 



, . Ferrers, N. M. [1866] 



QJ. Mth. 8 (1867) 259-. 

 , . Cardinaal, J. N. Arch. 



Wisk. 12 (1886) 149- ; Fschr. Mth. (1885) 626. 



, 3, theorem of Chasles. 

 Faure, H. N. A. Mth. 7 (1888) 31-. 



, theorems. Wiener, C. Z. 

 Mth. Ps. 9 (1864) 44-. 



or touching 4 lines, involutory 



theorems. Salmon, G. QJ. Mth. 4 (1861)152-. 



of a plane, geometry of. Segre, C. Tor. 

 Ac. Sc. At. 20 (1885) 487-. 



satisfying 4 conditions, Halphen's form of 

 Chasles's theorem. Hirst, T. A. B. A. Bp. 

 (1878) 464. 



in space. Olivier, T. Quetelet Cor. Mth. 



3 (1827) 126-. 



satisfying 7 conditions. Chasles, M. 



C. B. 61 (1865) 389-. 



touching 4 lines. Cayley, A. QJ. Mth. 3 

 (1860) 94-. 



Construction for conies of pencil or other linear 



system. Wiener, . D. Nf. B. (*1883) 55. 

 Contact problems of conies. Cayley, A. Crelle 



J. 39 (1850) 4-. 

 Desargues's theorem, extension. Weyr, E. 



Wien Sb. 58 (1868) (Ab. 2) 223-. 

 Determination of conies. Zeuthen, H. G. 



Mth. A. 41 (1893) 539-. 



500 



