8870 Configurations and Higher Elements of Hyperspace 8870 



triple systems, one family with same spherical 

 representation for its lines of curvature. 

 Fouche, M. C. B. 126 (1898) 210-. 



including series of surfaces with one 

 system of lines of curvature plane. Bianchi, 

 L. A. Mt. 19 (1891-92) 177-. 



system of pseudospherical surfaces. 



Bianchi, L. Km. B. Ac. Line. Kd. 2 (1886) 



(Sem. 1) 19-. 

 and lines of curvature. Stahl, H. [1870] 



Mth. A. 3 (1871) 488-. 

 , property. Catalan, E. C. Liege S. 



Sc. Mm. 15 (1888) No. 1, 90-. 



, pseudospherical, Backhand's transfor- 

 mation for. Bianchi, L. Bin. B. Ac. 

 Line. Bd. 1 (1892) (Sem. 2) 156-. 



, theorem. Bertrand, J. C. B. 121 

 (1895) 921-. 



, theory. Geiser, C. F. Arch. Sc. Ps. 



Nt. 6 (1898) 363-. 

 of Weingarten. Bianchi, L. Em. B. 



Ac. Line. Bd. 1 (1885) 163-, 243-; A. Mt. 



13 (1885) 177- ; 14 (1886-87) 115- ; Palermo 



Cir. Mt. Bd. 8 (1894) 25-. 



Surfaces cut orthogonally by spheres. Bonnet, 

 0. C. B. 36 (1853) 1133-. 



with lines of curvature isothermic. Burgatti, 

 P. Bm. B. Ac. Line. Bd. 9 (1900) (Sem. 2) 

 352-. 



and plane in both systems. 



Caronnet, T. C. B. 116 (1893) 1240-. 



orthogonal to xyz = c 3 , integration of equa- 

 tion. Catalan, E. C. Liege S. Sc. Mm. 

 13 (1886) 73-. 



Systems of plane curves, orthogonals of which 

 form a similar system. Tait, . Edinb. 

 B. S. P. 20 (1895) 497-. 

 spherical coordinates, and corresponding 

 triply orthogonal systems. Petot, A. C. B. 

 112 (1891) 1426-. 



Theorem in theory of functions, and applica- 

 tion to isothermic systems of curves. 

 Holzmiiller, . Z. Mth. Ps.42 (1897) 217-. 



8870 Hypergeometric configura- 

 tions and higher elements of 

 hyperspace. 



Applicability of 2 spaces with same Biemann's 



curvature constant. Bianchi, L. Bm. B. 



Ac. Line. Bd. 7 (1898) (Sevi. 2) 147-. 

 surfaces of spaces of constant curvature. 



Bianchi, L. Bm. B. Ac. Line. Mm. 2 



(1878) 479-. 

 Conditions that displacement of invariable 



system is possible in one or several directions. 



Levy, M. C. B. 86 (1878) 875-. 



Cubes of different dimensions, representation 



one on another. Schoenfties, A. Gott. Nr. 



(1896) 255-. 

 Curvature in hyperspace. Beez, E. Z. Mth. 



Ps. 21 (1876) 373-. 

 Deformation of 3-dimensional space in plane 



4-dimensional space. Schur, F. Mth. A. 



28 (1887) 343-. 

 spaces. Monro, C. J. L. Mth. S. P. 9 



(1877-78) 171-. 

 with Biemann's curvature constant. 



Schur, F. Mth. A. 27 (1886) 163-. 

 Deformations of figures in n dimensions. 



Stdckel, P. Crelle J. Mth. 113 (1894) 102-. 

 Infinitesimal deformations of hyperspaces. 



Cesdro, E. Nap. Bd. 34 (1895) 47-. 



- surfaces in spaces of constant 



curvature. Fubini, G. Bm. B. Ac. Line. 



Bd. 8 (1899) (Sem. 1) 246-. 

 Loci of centres of hyper-spherical curvature 



of w-dimensional curves. Schoute, P. H. 



Amst. Ak. Vs. 8 (1900) 622-; Amst. Ak. P. 



2 (1900) 527-. 

 Meunier's theorem in higher dimensional space. 



Brunei, . Bordeaux S. Sc. Mm. 2 (1891) 



xv-. 



Non-Euclidean billiards. Hadamard, J. Bor- 

 deaux S. Sc. PV. (1897-98) 147-. 

 surfaces of constant mean curvature. 



Servant, . C. B. 131 (1900) 827-. 

 Orthogonal systems in any space. Ricci, G. 



C. B. 125 (1897) 810-. 



tt-dimensional space, and reduction 



of differential systems. Drach, J. C. B. 



125 (1897) 598-. 

 n variables. Pellet, A. Toul. Fac. 



Sc. A. 2 (1900) 137-. 

 Quadric in 5-dimensional space, superlines. 



Cayley, A. QJ. Mth. 12 (1873) 176-. ' 

 n-dimensional space. Snyder, V. [1897] 



N. Y. Am. Mth. S. fill. 4 (1898) 68-. 

 Beal representation of imaginary configurations, 



and application to theory of numbers. 



Busche, E. Crelle J. Mth. 122 (1900) 227-. 

 Bepresentation of n-dimensional surface in 



(n - 1) -dimensional space. Vaes, F. J. 



Fschr. Mth. (1900) 642-. 

 Biemann's measure of curvature in hyperspace. 



Beez, E. Z. Mth. Ps. 24 (1879) 1-, 65-. 

 Spaces of constant curvature. Banal, R. 



Bm. B. Ac. Line. Bd. 6 (1897) (Sem. 2) 



357-. 

 . Tedone, O. Mil. I. Lomb. Bd. 



32 (1899) 592-. 

 Surface images in 4-dimensional 



Mannoury, G. N. Arch. Wisk. 4 



112-. 

 Total curvature in hyperspace. Banal, R. 



Yen. I. At. (1894-95) 998-. 

 Weingarten's systems in spaces of constant 



curvature. Bianchi, L. Bm. B. Ac. Line. 



Mm. 4 (1887) 221-. 



653 



