8090 Systems of Curves 



Pencils of curves of 3rd and 4th degrees. Kan- 

 tor, S. Wien Ak. Sb. 79 (1879) (Ab. 2) 787-. 



nth degree. Weyr, Em. Wien 

 Sb. 61 (1870) (Ab. 2) 82-. 



, intersections. Dewulf, E. N. A. Mth. 11 

 (1872) 297-. 



and nets of plane curves, singularities. 

 Ruffini, F. P. Bologna Ac. Sc. Mm. 1 (1880) 

 367. 



Pentagon, complete, and connected systems of 



curves. Kantor, S. [1878] Wien Ak. Sb. 



78 (1879) (Ab. 2) 165-, 797-. 

 Plane curves. Beltrami, E. (vn) A. Mt. 4 



(1861) 102-. 



. Tognoli, 0. G. Mt. 13 (1875) 359-. 



. Krey, H. Acta Mth. 7 (1885) 49-. 



, isometrics of straight line with reference 



to systems. Ocagne, M. d'. Par. S. Mth. 



Bll. 13 (1885) 71-. 

 , properties of systems, and characteristics 



of those of 4th degree. Zeuthen, H. G. [1873] 



(xi) Kjob. Dn. Vd. Selsk. Skr. 10 (1875) 



285-. (With French resume.) 

 , singularities. Franchis, H. de. Palermo 



Cir. Mt. Bd. 11 (1897) 104-. 

 , 3rd degree. Schoute, P. H. C. B. 101 



(1885) 736-, 805-. 

 Polar curves, definition. Guccia,G.B. Palermo 



Cir. Mt. Bd. 7 (1893) 263-. 

 , . Kohn, G. Palermo Cir. Mt. Bd. 



7 (1893) 307-. 

 , first. Koehler, C. (x) Par. S. Mth. 



Bll. 1 (1873) 124-. 



systems, real, having double contact with 

 given real polar systems. Del Re, A. Nap. 

 Bd. 27 (1888) 424-. 



Property of systems. Weill, . Par. S. Mth. 



Bll. 16 (1888) 155-. 

 Bational curves, surfaces having non-linear 



system. Kantor, S. C. B. 131 (1900) 791-. 

 Bepresentation of systems in plane. Vanecek, 



J. S., & Vanecek, M. N. Prag Sb. (1884) 



(Mth.-Nt.) 354-; Fschr. Mth. (1885) 602-. 

 Skew curves. Jonquieres, E. de. G. Mt. 4 



(1866) 210-. 



, system dual or reciprocal to itself. 

 Fiedler, W. Ziir. Vjschr. 20 (1875) 173-. 



, 3rd degree, and developables of 3rd class. 



Gerbaldi, F. Tor. Ac. Sc. Mm. 32 (1880) 



309-. 

 , 4th degree, on cubic surface. Brambilla, 



A. Nap. Bd. 35 (1896) 171- ; 36 (1897) 

 203-. 



Stationary curves. Zeuthen, H. G. (xn) Ts. 

 Mth. 6 (1882) 5-. 



Surfaces containing systems of curves. Hum- 

 bert, G. C. B. 117 (1893) 361-. 



Tangents and normals to systems. Schlomilch, 

 O. X. Z. Mth. Ps. 23 (1878) 337-. 



Triangles, parabolas, etc., systems generated 

 by similar point-series. Stegemann, W. Arch. 

 Mth. Ps. 10 (1891) 225-. 



SYSTEMS OF SUBFACES. 



Algebraic or transcendental surfaces, systems 

 defined by 2 characteristics. Fouret, G. C. 



B. 79 (1874) 467-. 



Systems of Surfaces 8090 



Algebraic or transcendental surfaces, systems, 



notion deduced from that of implexes. Fouret, 



G. C. B. 80 (1875) 167-. 

 Contact problem in theory of linear systems, 



solution. Bdcklund, A. V. (xn) Ts. Mth. 



2 (1878) 97-. 



of systems of surfaces, transformations. 

 Fouret, G. C. B. 85 (1877) 1224-. 



Families of surfaces. Merrifield, C. W. Mess. 



Mth. 1 (1872) 81-. 

 Family comprising new family of cyclides. 



Chizzoni, F. Bm. B. Ac. Line. Bd. 2 (1886) 



(Sem. l\ 476-. 



of developable surfaces passing through given 

 skew curve. Levy, L. C. B. 97 (1883) 986-. 



homaloidal surfaces. Montesano, D. 

 Palermo Cir. Mt. Bd. 2 (1888) 131-. 



Generation of surfaces by projective nets. 

 Padova, E. G. Mt. 9 (1871) 148-. 



and skew curves by systems of 

 surfaces. VanZcek, J. S., <& Vanecek, M. N. 

 Bm. B. Ac. Line. Bd. 1 (1885) 130- ; A. Mt. 

 14 (1886-87) 73-. 



Implex and system of surfaces. Fouret, G. C. 



B. 80 (1875) 805-. 



Jacobian of 4 surfaces, singularities. Levi, A. 

 G. Mt. 34 (1896) 215-. 



Linear system of surfaces of nth degree, in- 

 volution defined by. Steinmetz, C. Z. Mth. 

 Ps. 35 (1890) 219-, 272-, 354-. 



systems. Enriques, F. Bm. B. Ac. Line. 

 Bd. 2 (1893) (Sem. 2) 281- ; 3 (1894) (Sem. 1) 

 481-, 536- ; Mth. A. 46 (1895) 179-. 



of cones. Fieri, M. Bv. Mt. 3 (1893) 44-. 



monoids. Fieri, M. G. Mt. 31 (1893) 



151-. 



surfaces with certain singularities. 



Guccia, G. B. Palermo Cir. Mt. Bd. 1 (1887) 

 338-. 



Locus of singular points and lines in connection 

 with ultimate intersections of system of sur- 

 faces. Hill, M. J. M. [1891] Phil. Trans. 

 (A) 183 (1893) 141-. 



Method of deducing surface from plane figure, 

 example. Cremona,, L. Edinb. B. S. T. 32 

 (1887) 411-. 



Net, conjugate, of surf aces derived from quadrics. 

 Mangeot, S. C. B. 125 (1897) 1083-. 



of surfaces, locus of parabolic points. Lo 

 Monaco- Aprile, L. Palermo Cir. Mt. Bd. 12 

 (1898) 141-. 



of 2nd degree. Toeplitz, E. [1876] 



Mth. A. 11 (1877) 434-. 



Normal variety formed by simple rational series 

 of planes. Segre, C. Tor. Ac. Sc. At. 21 

 (1885) 95-. 



Number of surfaces of net, having triple con- 

 tact with intersection curve of 2 surfaces. 

 Tognoli, 0. G. Mt. 9 (1871) 188-. 



Pencil of surfaces, double points. Guccia, G. B. 



C. E. 120 (1895) 896-. 



Pencils of surfaces, contact. Vanecek, J. S., 

 & Vanecek, M. N. A. Mt. 15 (1887-88) 73-. 



Problems relating to 2 systems. Combescure, E. 

 [1872] A. Mt. 5 (1871-73) 236-. 



Properties. Jonquiereg, E. de. C. B. 58 (1864) 

 567-; 61 (1865) 440-. 



585 



