8090 



Systems of Curves 



8090 



Intersections of systems, theorems. Woepcke, F. 



Liouv. J. Mth. 19 (1854) 407- ; 20 (1855) 



139-. 

 Linear systems of conies and quadrics. Darboux, 



G. Bll. Sc. Mth. As. 1 (1870) 348-. 

 curves and surfaces and their Jacobians. 



Doehlemann, K. Mth. A. 41 (1893) 545-. 

 Nets. Jonquieres, E. de. C. E. 67 (1868) 



1338- ; Mth. A. 1 (1869) 424-. 

 Pencils. Fieri, M. G. Mt. 24 (1886) 13-. 



SYSTEMS OF CUEVES. 

 (See also 7230.) 



Cremona, L. A. Mt. 6 (1864) 153-. 



Chasles, M. C. E. 63 (1866) 816- ; 64 (1867) 



799-. 



Jonquieres, E. de. C. E. 63 (1866) 870-. 

 Dewulf, E. [1880] N. A. Mth. 20 (1881) 391-. 

 Algebraic or transcendental plane curves de- 

 nned by 2 characteristics. Fouret, G. Par. 



S. Mth. Bll. 2 (1874) 72-. 

 Characteristics of elementary systems of curves 



of 3rd degree. Zeuthen, H. G. C. E. 74 



(1872) 521-, 604-, 726-. 

 4th degree. Zeuthen, H. 



G. C. E. 75 (1872) 703-. 

 , relation between 2 in a system. Chasles, M. 



C. E. 62 (1866) 325-. 

 Circles and bicircular curves of 4th degree, 



vector analysis. Cox, H. QJ. Mth. 19 



(1883) 74-. 

 Circular coordinates. Gyurkovich, G, von. 



Z. Mth. Ps. 11 (1866) 494- ; 12 (1867) 265-. 

 Conies, curves of 4th degree arising from 



systems. Caporali, E. 



93) 237-. 



of 4-point contact with curves of 4th degree. 

 Ameseder, A. Wien Ak. Sb. 80 (1880) (Ab. 2) 

 187- ; 83 (1881) (Ab. 2) 829-. 



, surfaces containing systems. Weiler, A. 



Z. Mth. Ps. 30 (1885) 159-. 

 , systems in connexion with curves of 3rd 



degree. Smith, H. J. S. [1868] L. Mth. S. 



P. 2 (1869) 67-. 

 , of, and rational curves of 3rd class, 



relation. Trebitscher, M. Wien Ak. Sb. 81 



(1880) (Ab.2) 1080-. 

 Contact curves, non-adjoint. Weiss, W. Wien 



Ak. Sb. 99 (1891) (Ab. 2a) 284- ; 102 (1893) 



(Ab. 2a) 1025-. 



of systems of curves with straight lines. 

 Gruss, G. [1881] Wien Ak. Sb. 84 (1882) 

 (Ab. 2) 228-. 



plane curves defined by 2 charac- 

 teristics, transformations. Fouret, G. Par. 

 S. Phlm. Bll. 13 (1876) 72-. 



Continuous series of curves on regular algebraic 

 surface. Enriques, F. Palermo Cir. Mt. Ed. 

 13 (1899) 95-. 



Curves with common points. Woepcke, F. 

 Crelle J. 54 (1857) 274-. 



dividing homographically generators of ruled 

 surface. Bioche, C. Toul. Fac. Sc. A. 3 

 (1889) N, 41 pp. 



system of circles. Demartres, G. 



C. E. 106 (1888) 54-. 



Curves of pencil, having double contact with 

 given curve. Brill, A. Mth. A. 3 (1871) 

 459-. 



4-point contact with triply infinite 

 system of curves. Spottisivoode, W. [1876] 

 L. Mth. S. P. 8 (1876-77) 29-. 



, 3rd degree, through 7 fixed points. Geiser, 

 C. F. [1866] Crelle J. 67 (1867) 78-. 



, , (Geiser). Milinowski, . 



[1873] Crelle J. 77 (1874) 263-. 



, , inflexion point triangles of which 



have same orthocentre. Ameseder, A. Z. 

 Mth. Ps. 28 (1883) 53-. 



, 6th degree, to which normal problem in 

 curves of 2nd degree leads. Baiter, G. 

 Munch . Ak. Sb. 8 (1878) 121-. 



, mth degree, involving /*th power of para- 

 meter, theorem of Jonquieres. Ascoli, G. 

 G. Mt. 5 (1867) 377. 



, wth degree, under | (n + 3)-l conditions, 



degree of parametric equation. Battaglini, G. 

 Nap. Ed. 2 (1863) 149-. 



, , involution in. Serret, P. C. E. 87 



(1878) 643-. 



C* of pencil through 13 given points, con- 

 struction for 3 other common points. Bi- 

 schoff, J. N. A. Mt. 6 (1875) 144-. 



Families of characteristic v, having principal 



multiple point of order v. Fouret, G. Par. 



S. Mth. Bll. 7 (1879) 177-. 

 curves, points specially related to. Brill, 



J. Camb. Ph. S. P. 7 (1892) 57-. 

 , projective, generation of curves by. 



Schoute, P. H. N. Arch. Wisk. 4 (*1878) 



A. Mt. 20 (1892- , , surface by. Tognoli, O. 



G. Mt. 9 (1871) 68-. 

 Family of curves. Timerding, H. E. N. A. 



Mth. 17 (1898) 351-. 

 , factors of c- and ^-discriminants in 



relation to fixed points on. Maddison, I. 



QJ. Mth. 26 (1893) 307-. 

 Flex-locus of system of plane curves with one 



arbitrary parameter. Hill, M. J. M. Mess. 



Mth. 23 (1894) 120-. 

 Involution properties of curves. Fouret, G. 



Palermo Cir. Mt. Ed. 3 (1889) 42-. 

 Jacobian of net of conies. Rosanes, J. Mth. 



A. 17 (1880) 21-. 

 curves of 3rd degree, generation. 



Cantor, S. Em. E. Ac. Line. T. 3 (1879) 



93-. 

 3 plane curves, singularities. Gerbaldi, 



F. Palermo Cir. Mt. Ed. 8 (1894) 1-. 

 Limiting curves of given variety of curves. 



Ascoli, G. Em. E. Ac. Line. Mm. 18 (1883) 



521- ; Mil. I. Lomb. Ed. 21 (1888) 226-, 257-, 



294-, 365-. 

 Linear system of conies in space. Montesano, 



D. Tor. Ac. Sc. At. 27 (1892) 660-. 

 curves touching curve given by a 



contact of 3rd order. Lindemann, C. L. F. 



Par. S. Mth. Bll. 10 (1882) 21-. 

 any genus, excess of fundamental 



elements in. Jung, G. Mil. I. Lomb. Ed. 



21 (1888) 719-. 



583 



