8070 



Enumerative Geometry 



8070 



Characteristics, theory. Schubert, H. Crelle 



J. 71 (1870) 366-. 

 , . Clebsch, R. F. A. [1872] Mth. A. 6 



(1873) 1-. 

 , . Halphai, G. H. [1879] Par. S. Mth. 



Bll. 8 (1880) 31-. 

 , (Halphen). Schubert, H. C. H, Par. 



S. Mth. Bll. 8 (1880) 60-. 

 , (Kronecker). Dyek, W. [1894] D. Mth. 



Vr. Jbr. 4 (1897) 94-. 

 , , and bibliography. Painvin, L. Bll. 



Sc. Mth. As. 3 (1872) 155-. 

 Class and number of inflexions of curve. 



Guccia, G, B. Em. E. Ac. Line. Ed. 5 



(1889) (Sem. 1) 18-. 

 Conditions that 4 curves have 2 common points, 



order. Roberts, S. QJ. Mth. 9 (1868) 176-. 

 Configurations arising from osculations of cubic 



curves. Fries, J. de. Amst. Ak. Vs. M. 6 



(1889) 232- ; Fschr. Mth. (1889) 538, 541-. 

 Conical surfaces, numbers for. Krey, H. Acta 



Mth. 5 (1884) 83-. 

 Conies of 5-point contact with curve of 5th 



Contact points of tangents from point to k 

 curves, connectors. Guccia, G. B. Palermo 

 Cir. Mt. Ed. 9 (1895) 268-. 



problem. Jonquieres, E. de. Crelle J. 66 

 (1866) 289-. 



(de Jonquieres). Humbert, G. Palermo 



Cir. Mt. Ed. 4 (1890) 109-. 



problems, 2. Brill, A. Mth. A. 4 (1871) 

 527-. 



of system of curves with algebraic curve. 

 Fouret, G. C. E. 82 (1876) 1328-. 



surfaces (implex) with algebraic 



surface. Fouret, G. C. E. 82 (1876) 1497- ; 

 84 (1877) 436-. 



Coordinates of curves of mth degree, genus p. 

 Hermite, C. [1877] Crelle J. Mth. 84 (1878) 



17-. 



Correlation of two 3-dimensional spaces, 



enumeration. Hirst, T. A. [1890] L. 



Mth. S. P. 21 (1891) 92-. 

 Correlations in two 3-dimensional spaces, 



satisfying certain conditions. Visdlli, P. 



Em. E. Ac. Line. Mm. 3 (1886) 597-. 

 Berner, T. N. A. Mth. 5 (1866) , twelve conditions. Visalli, 



P. Em. E. Ac. Line. Ed. 3 (1887) (Sem. 1) 



and quadrics, determination. Halphen, 

 G. H. (x) Par. S. Mth. Bll. 1 (1873) 130-, 

 226- ; 2 (1874) 11-. 



satisfying 5 conditions, number. Jonquieres, 

 E. de. Liouv. J. Mth. 4 (1859) 49-. 



, problem. Cayley, A. C. B. 63 



(1866) 9-. 



double conditions, number. Cremona, L. 



C. E. 59 (1864) 776-. 

 5 protective conditions, number. Halphen, 



G. H. L. Mth. S. P. 10 (1878-79) 76-. 



in space, number cutting 8 straight lines. 

 Litroth, J. [1867] Crelle J 58 (1868) 185-. 



of system satisfying simple condition, 

 number. Schubert, H. C. H. Par. S. Mth. 

 Bll. 8 (1880) 61. 



(fj., v) satisfying a 5th condition, 

 formula for number. Saltel, L. Brux. Ac. 

 Bll. 42 (1876) 617-. 



touching 5 curves, or satisfying other con- 

 ditions, number. Chasles, M. C. E. 58 

 (1864) 222-. 



variously defined. Sparer, B. Z. Mth. Ps. 

 35 (1890) 237-, 293-. 



Contact of curves with curve whose points can 

 be individually determined. Chasles, M. 

 C. E. 63 (1866) 670-. 



, 3-point. Schubert, H. C. H. Gott. 



Nr. (1880) 369-. 



, double, determination of curves and sur- 

 faces satisfying conditions. Zeuthen, H. G. 

 C. E. 89 (1879) 899-, 946-. 



or intersection at given angle of system of 

 curves with given curve. Fouret, G. [1876] 

 Par. S. Mth. Bll. 5 (1877) 19-. 



of inverse with polar reciprocal figures. 

 Vanecek, J. S., & Vanecek, M. N. [1883] 

 St P6t. Ac. Sc. Bll. 29 (*1884) 281-. 



, multiple, of conies with curve of any 

 degree. Jonquieres, E. de. N. A. Mth. 3 

 (1864) 218-. 



, , and other multiple conditions. Chasles, 

 M. C. E. 59 (1864) 345-. 



118-. 

 Curves, application of enumerative geometry. 



Castelnuovo, G. Palermo Cir. Mt. Ed. 3 



(1889) 27-. 

 , enumerations concerning. Schubert, H. 



D. Nf. Tbl. (*1876) (Beil.) 65. 



of given system which cut given curve at 

 given angle, etc. Jonquieres, E. de. C. E. 

 58 (1864) 535-. 



intersection of 2 surfaces, theorems. 

 Valentiner, H. (xn) Ts. Mth. 3 (1879) 

 22-. 



, lines making constant angle with tangent 

 at contact point. Chasles, M. C. E. 74 

 (1872) 1146-. 



, mutual dependence and general properties. 

 Steiner, J. Liouv. J. Mth. 18 (1853) 309-. 



satisfying given conditions. Jonquieres, E. 

 de. Crelle J. 66 (1866) 289-; C. E. 63 (1866) 

 423-, 485-, 522-. 



(de Jonquieres). Cayley, A. C. E. 



63 (1866) 666-. 



. Cayley, A. [1867] Phil. Trans. 



158 (1868) 75-, 145-. 



, singly infinite series, and other theorems. 

 Jonquieres, E. de. N. A. Mth. 20 (1861) 

 83-; Liouv. J. Mth. 6 (1861) 113- ; 8 (1863) 

 71-. 



Cusps in curve of Mth degree, genus p. Valen- 

 tiner, E. C. Ts. Mth. 3 (1885) 179-. 



Degree, class, etc., of algebraic surface and 

 surfaces derived from it, determination. 

 Sturm, R. Mth. A. 9 (1876) 573-. 



and class of curves formed under given 

 conditions, determination. Chasles, M. C. 



E. 84 (1877) 971- ; 85 (1877) 460-. 

 , . Fouret, G. 



C. E. 85 (1877) 134-, 844-, 944-. 



, extension to space of 2 laws given 



by Chasles. Fouret, G. C. E. 85 (1877) 

 216-. 



of surface, determination. Fouret, G. Par. 

 S. Phlm. Mm. Cent. (1888) 77-. 



571 



