8080 



Line Geometry. Higher Elements of Space 



8080 



Partitions of r-pyramid. Kirkman, T. P. Phil. 



Trans. (1858) 145-. 

 Plane, division by circles and straight lines, 



and division of space by planes and spheres. 



Steiner, J. N. A. Mth. 4 (1845) 491-, 541-. 



networks. Jordan, C. C. B. 63 (1866) 1061-. 



and space, division, laws. Steiner, J. 

 Crelle J. 1 (1826) 349-. 



Planes, spheres, and space, homographic 

 divisions, quaternion methods. Joly, C. J. 

 [1897] Ir. Ac. P. 4 (1896-98) 515-. 



Points about axis, most uniform distribution. 

 Wright, C. Camb. (M.) Mth. M. 1 (1859) 244-. 



in space, even distribution. Tail, . 

 Edinb. B. S. P. 14 (1888) 37. 



Geometry of space, new. PlUcker, J. Phil. 



Trans. (1865) 725-. 

 , Pliicker's. Dronke, A. Z. Mth. Ps. 



11 (1866) 46-; 12 (1867) 481-. 

 Hyperboloidal straight lines. Doehlemann, K. 



[1899] D. Mth. Vr. Jbr. 8 (1900) (Heft 1) 



199-. 

 Invariant theory of line geometry. Waelsch, E. 



Mth. A. 37 (1890) 141- ; Wien Ak. Sb. 98 



(1890) (Ab. 2a) 1528-. 



Invariants of quadratic forms and higher geo- 

 metry. Study, E. Leip. Mth. Ps. B. 49 



(1897) 443-. 

 Involution of axes of rotation. Sylvester, J. J. 



C. B. 52 (1861) 741-. 



Botation composition and space partitioning. (Sylvester). Chasles, M. C. B. 



Rohn, K. Dresden Isis Sb. (1898) 9-. 

 Systems of surfaces, systematic division of 



space by. Graberg, F. Ziir. Vjschr. 35 



(1890) 257-. 

 Triangles, chains, and nets, numbering. Berg, 



F. J. van den. N. Arch. Wisk. 19 (1892) 



151- ; Fschr. Ps. 1892 (Ab. 1) 31-. 



8080 Line geometry. Connexes, 

 complexes, congruences ; higher 

 elements of space. (See also 

 7650.) 



LINE GEOMETBY. 



Silberstein, S. [1880] (xn) Mag. Tud. Ak. 



Etk. (Mth.) 7 (1881) (No. 23) 27 pp. 

 Segre, C. Tor. Ac. Sc. Mm. 36 (1885) 87-. 

 " Ausdehnungslehre," line geometry on princi- 

 ples of. Muller, E. Mh. Mth. Ps. 2 (1891) 



267-. 

 Axial connections in space. Graberg, F. Ziir. 



Vjschr. 35 (1890) 52-. 

 Conjugate straight lines, and polar planes. 



Fais, A. Bologna Ac. Sc. Mm. 7 (1876) 605-. 

 Coordinates, line, 6. Cayley, A. [1867] Camb. 



Ph. S. T. 11 (Pt. 2) (1869) 290-. 

 , , formulae. Ovidio, E. d'. G. Mt. 10 



(1872) 33-. 

 , , homogeneous, geometric concept. 



Thaer, A. Z. Mth. Ps. 28 (1883) 315-. 

 , , in space. Zeuthen, H. G. Mth. A. 1 



(1869) 432-. 

 , , theory and notation. Reuschle, C. D. 



Nf. Tbl. (1889) 191-. 

 Cremonian straight lines, systems. Del Be, A. 



Em. B. Ac. Line. Bd. 2 (1893) (Sem. 1) 452-. 

 Desargues's theorem on triangles in perspective, 



space analogies. Vdlyi, G. Mth. Termt. Ets. 



11 (1893) 30- ; Mth. Nt. B. Ung. 13 (1897) 166-. 

 w-dimensional line geometry. Schubert, H. 



Hamb. Mth. Gs. Mt. 3 (1900) 86-. 

 Equivalence, collinear and reciprocal. Kalk- 



mann, G. Mh. Mth. Ps. 9 (1898) 55-. 

 of systems of linear elements. Kraft, F. 



Z. Mth. Ps. 39 (1894) 87-, 129-. 

 Fundamental configurations of line geometry. 



Frombeck, H. Wien Ak. Sb. 73 (1876) 



(Ab. 2) 475-. 

 Geometry and geomechanics. Fiedler, W. 



Ziir. Vjschr. 21 (1876) 186-. 



52 (1861) 745-. 

 6 lines in space. Sylvester, J. J. C. B. 



52 (1861) 815-. 

 (Sylvester). Cayley, A. C. 



B. 52 (1861) 1039-. 

 , mechanical. Sylvester, J. J. Am. J. Mth. 



4 (1881) 336-; (xn) J. H. Un. Cir. [1] 



(1882) 242-. 

 Involutions in space. Ascione, E. Nap. Bd. 



35 (1896) 13-. 

 Mechanics of rigid bodies and line geometry, 



relationship. Klein, F. Mth. A. 4 (1871) 403-. 

 Number of lines satisfying given conditions. 



Halphen, G. C. B. 68 (1869) 142- ; 73 (1871) 



1441- ; 74 (1872)41-. 

 Perpendicular on line from point, formula. 



Cayley, A. Ph. Mg. 30 (1865) 413-. 

 Pliicker's geometry, fundamental problem. 



Voss, A. E. Gott. Nr. (1875) 101-. 



line-configurations. Voss, (Dr) A. Gott. 

 Nr. (1873) 544-. 



new geometry. Janni, G. G. Mt. 8 (1870) 

 302-. 



Bay tetrads. Hermes, 0. Crelle J. 67 (1867) 



279-. 

 Buled space, representation by system of conies 



in a plane. Aschieri, F. Mil. I. Lomb. Bd. 



12 (1879) 265-. 



spaces, 2, correspondence between. De- 

 moulin, A. C. B. 129 (1899) 200-. 



, , Cremonian quadratic correspondence 



between. Aschieri, F. Mil. I. Lomb. Bd. 

 14 (1881) 123-. 



surfaces. PlUcker, J. [1867] A. Mt. 1 

 (1867-68) 160-. 



admitting homographic automorphic 

 transformation. Bioche, C. Par. S. Phlm. 

 Bll. 4 (1892) 130-. 



Screws passing through given point or lying in 



given plane. Cardinaal, J. Amst. Ak. Vs. 



7 (1899) 315- ; Amst. Ak. P. 1 (1899) 258-. 

 , theory. Kotellnikov, A. Kazan Un. Mm. 



(1895) (Pt. 9), (Pt. 11) 79-; (1896) (Pt. 1) 



139-, (Pt. 2) 111-; Fschr. Mth. (1895) 804-. 

 , uniform determination of cylindroid by. 



Somov, P. O. Vars. S. Nt. Tr. (1897) 



(Ps. C.) Fasc. 1, Mm. 2, 4 pp. 

 Skew curves, line geometry. Voss, A. E. Mth. 



A. 13 (1878) 232-. 

 Space-loci, class (Minding's theorem). Tait, 



P. G. [1879-81] Edinb. E. S. P. 10 (1880) 



200; 11(1882)197-. 



576 



