8080 Higher Elements 



Systems of Curves and Surfaces 8090 



(6, 2) arising from 2 quadrics. Del Re, A. 



Palermo Cir. Mt. Ed. 1 (1887) 290-. 

 (1, 1) and line complex. Schoute, P. H. 



Amst. Ak. Vs. M. 5 (1889) 66-; Fschr. Mth. 



(1888) 849. 

 (3, 4). Del Re, A. Em. E. Ac. Line. Ed. 2 



(1893) (Sem. 1) 245-. 



Paraboloid, hyperbolic rectangular, and ray- 

 system derived from it. Schoenflies, A. 

 Z. Mth. Ps. 23 (1878) 245-. 



Euled space, projective geometry. Aschieri, F. 

 G. Mt. 16 (1878) 346-. 



System of 4 lines in space. Franel, J. Zur. 

 Vjschr. 40 (1895) 84-. 



Systems of luminous rays, geometric properties. 

 Del Re, A. Palermo Cir. Mt. Ed. 1 (1887) 

 284-. 



Thin pencils. Schulten, N. G. af (fil.). [1836] 

 St Pet. Mm. Sav. Etr. 4 (1845) 203-. 



. Mobius, A. F. Leip. B. 14 (1862) 1-. 



. Hensel, K. Crelle J. Mth. 102 (1888) 



273-. 



and affinity of plane systems. Zech, P. 



Z. Mth. Ps. 17 (1872) 353-. 



Trajectory surfaces of figure of invariable form, 

 all normals meet 2 straight lines. Mannheim, 

 A. As. Fr. C. E. 2 (1873) 95-. 



, normals, construction. 



Mannheim, A. As. Fr. C. E. (1878) 152-. 



Transformation of pencil of normals. Mann- 

 heim, A. As. Fr. C. E. (1878) 132- ; C. E. 

 88 (1879) 1179-. 



Wave surface and transformation of ray-system. 

 Mannheim, A. C. E. 88 (1879) 1248-. 



Congruence of curves, general, 



. Joly, 



al, property. 



C. J. [1899] Ir. Ac. T. 31 (1896-1901) 



363-. 

 Congruences of circles in space. Stephanos, C. 



C. E. 93 (1881) 633-. 

 --- and spheres. Guichard, C. C. E. 



129 (1899) 147-. 

 --- -- appearing in study of orthogonal 



and cyclic systems. Guichard, C. C. E. 



129 (1899) 748-. 

 -- --- , several times cyclic. Guichard, 



C. C. E. 130 (1900) 1533-. 

 -- conies. Fieri, M. Tor. Ac. Sc. At. 28 



curves. Dall'Acqua, A. [1899] Ven. 4. 



At. (1899-1900) (Pt. 2) 245-. 

 . Levi-Civita, T. Em. E. Ac. Line. 



Ed. 8 (1899) (Sem. 1) 239-. 

 Conic in space, 18 coordinates. Spottiswoode, 



W. B. A. Ep. (1878) 462. 



,21 coordinates. Spottiswoode, W. 

 L. Mth. S. P. 10 (1878-79) 185-. 



Conies in plane, representation on point- space. 



Study, E. Mth. A. 40 (1892) 551-. 

 space. Hierholzer, C. [1869] Mth. A. 



2 (1870) 563-. 



, with application to planet orbits. 

 Grunert, J. A. Grunert Arch. 37 (1861) 1-. 



, generating surfaces. Liiroth, J. [1869] 



Mth. A. 3 (1871) 124-. 

 Families of transformations of straight lines 



into spheres. Lovett, E. 0. Am. J. Mth. 



22 (1900) 138-. 

 Null birational reciprocities in space. Monte- 



sano, D. Em. E. Ac. Line. Ed. 4 (1888) 



(Sem. 1) 583-. 



HIGHEE ELEMENTS OF SPACE. 



Circle as generating element of space. Cosserat, 

 E. Toul. Fac. Sc. A. 3 (1889) E, 81 pp. 



in space. Koenigs, G. Toul. Fac. Sc. A. 

 2 (1888) F, 19 pp. 



Circles projecting into circles on given plane. 



Nicodemi, R. Nap. Ac. Pont. At. 18 (1888) 



91- ; 21 (1891) 109-. 

 , spheres, and points, groups. Darboux, G. 



Par. EC. Norm. A. 1 (1872) 323-. 



and spheres, properties of systems. Guichard, 

 C. C. E. 129 (1899) 944-. 



Complex or congruence of curves, surface of 

 singularities. Cosserat, E. C. E. 107 (1888) 

 653-. 



of conies, and surface of 3rd degree. 

 Humbert, G. Par. EC. Pol. J. 64 (1894) 

 123-. 



, linear spherical, envelopes. Smith, P. F. 



N. Y. Am. Mth. S. T. 1 (1900) 371-. 

 , spherical. Smith, P. F. [1900] N. Y. Am. 



Mth. S. Bll. 7 (1901) 3, 8-. 

 Complexes and congruences, spherical, 2nd 



degree. Reye, T. Crelle J. Mth. 99 (1886) 



205-. 

 , spherical, homaloidal. Del Re, A. Em. 



E. Ac. Line. Ed. 8 (1899) (Sem. 2) 100-. 

 , , theory. Backlund, A. V. Lund Acta 



Un. 9 (1872) (Mth.) No. 3, 24 pp. 



8090 Systems (linear, and not 

 linear) of curves and surfaces. 



Jonquieres, E. de. Liouv. J. Mth. 10 (1865) 



412- ; C. E. 62 (1866) 293-; G. Mt. 4 (1866) 



45-, 212-. 



Brill, A. [1874] Mth. A. 8 (1875) 534-. 

 Folie, F. Bll. Sc. Mth. As. 3 (1879) 278-. 

 Weyr, E. J. [1881] Wien Ak. Sb. 84 (1882) 



(Ab. 2) 884-. 

 Del Pezzo, P. Palermo Cir. Mt. Ed. 3 (1889) 



236-. 

 Characteristics in systems. Jonquieres, E. de. 



C. E. 63 (1866) 793-. 

 of systems of conies and quadrics. Darboux, 



G. C. E. 67 (1868) 1333-. 

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



A. 6 (1873) 1-. 

 Curves and surfaces self-enveloping in similarly 



variable systems. Milller, R. Z. Mth. Ps. 



22 (1877) 369-. 

 touching infinite number of others. 



Gergonne, J. D. Gergonne A. Mth. 3 (1812- 



13) 361-. 



Hyperjacobian surfaces and curves. Spottis- 

 woode, W. [1877] Phil. Trans. 167 (1878) 



351-. 

 Infinity of conies or quadrics, curves or surfaces 



sibi-reciprocal with respect to. Fouret, G. 



Par. S. Phlm. Bll. 1 (1877) 42-. 



582 



