8830 



Surfaces of Constant Curvature 



8830 



Euled surfaces, differential equation. Sincov, 

 D. [1894-95] Kazan S. Ps.-Mth. Bll. 4 

 (1895) 198; N. A. Mth. 14 (1895) 58-. 



, line element of which is reducible to 

 Liouville's form. Demartres, . C. E. 

 110 (1890) 329-. 



, partial differential equation. Mansion, 



P. [1876] Mess. Mth. 6 (1877) 45-. 



Skew helicoids developable on one another. 

 Lamarle, E. Brux. Ac. Bll. 19 (1865) 407-. 



surface, locus of principal normals of 2 

 curves. Mannheim, A. Liouv. J. Mth. 17 

 (1872) 406-. 



surfaces, applicable on surfaces of revolution, 

 and skew surfaces formed by principal 

 normals of curve. Dini, U. G. Mt. 4 (1866) 

 298-. 



, one radius of principal curvature being a 



function of the other. Dini, U. A. Mt. 



7 (1865) 205- . 

 , satisfying partial differential equations of 



2nd order. Dini, U. G. Mt. 3 (1865) 321- ; 



4 (1866) 305- ; C. E. 61 (1865) 1001-. 

 Surface of centres of curvature of surface of 



wth degree. Marcks, L. Mth. A. 5 (1872) 



27-. 

 4th class, lines of curvature of which can 



be determined. Laguerre, E. Liouv. J. 



Mth. 2 (1876) 145-. 

 least resistance. Armanini, E. A. Mt. 



4 (1900) 131-. 

 , tangent plane of which makes with radius 



vector an angle which is given function of 



radius vector. Turazza, D. Tortolini A. 



2 (1851) 55-. 

 Surfaces admitting lines of spherical curvature 



and having same spherical representation for 



their lines of curvature. Blutel, . C. E. 



116 (1893) 249-. 

 , asymptotic lines of which in one system 



are curves of constant torsion. Bianchi, L. 



A. Mt. 18 (1890) 301-. 



with circular generator. Boulanger, A. 

 N. A. Mth. 11 (1892) 159-. 



, class related to pseudo-spherical surfaces. 

 Bianchi, L. Em. E. Ac. Line. Ed. 5 (1896) 

 (Sem. 1) 131-. 



with common evolute. Sanctis, P. de. 

 Em. N. Line. At. 46 (1893) 90- 



confocal quadrics as surfaces of centres. 



Rudio, F. Crelle J. Mth. 95 (1883) 240-. 



2 or more conies, traced on surface, 

 passing through each point. Koenigs, G. 

 C. E. 105 (1887) 407-. 



conjugate geodesies. Guichard, C. C. E. 



110 (1890) 995-. 



Surfaces of constant curvature. 



Dini, U. G. Mt. 3 (1865) 241- ; C. E. 60 (1865) 

 340-. 



Nicolaldes, N. Bll. Sc. Mth. As. 9 (1875) 142-. 



Enneper, A. Gott. Nr. (1876) 597-. 



Lie, M. S. Arch. Mth. Ntvd. 4 (1879) 345-, 



355-; 5 (1881) 282-, 328-, 518-. 

 Darboux, G. C. E. 97 (1883) 892-. 

 Kuen, T. [1884] Munch. Ak. Sb. 14 (1885) 



193-. 



Waelsch, E. Wien Ak. Sb. 102 (1893) (Ab. 2a) 



1317-. 



Beliankin, J. J. Fschr. Mth. (1898) 523. 

 Bianchi, L. Em. E. Ac. Line. Ed. 8 



(Sem. 1) 223-, 371-, 484-. 

 Darboux, G. C. E. 128 (1899) 1018-. 

 mean. Folie, F. Brux. Ac. Bll. 30 (1870) 15-. 

 . Tilly, J. M. de. Brux. Ac. Bll. 30 (1870) 



28-. 



. Chini, M. G. Mt. 27 (1889) 107-. 

 . Vivanti, G. Mil. I. Lomb. Ed. 28 (1895) 



353-. 



negative. Nannei, E. G. Mt. 26 (1888) 201-. 

 . Kahan, V. Kazan S. Ps.-Mth. Bll. 5 



(1896) 111-, 145- ; Fschr. Mth. (1895) 532, 



533. 

 , case. Sabinin, E. T. Eec. Mth. (Moscou) 



18 (1896) 507- ; Fschr. Mth. (1896) 537. 

 , geometry on. Escherich, G. von. Wien Ak. 



Sb. 69 (1874) (Ab. 2) 497-. 

 properties. Hazzidakis, J. N. [1878] Crelle 



J. Mth. 88 (1880) 68-. 

 of line element. Weingarten, J. L. G. J. 



Crelle J. Mth. 94 (1883) 181- ; 95 (1883) 325-. 

 and surfaces with Liouville's line element. 



Waelsch, E. C. E. 116 (1893) 1435-. 

 total. Darboux, G. C. E. 97 (1883) 848-. 

 . Genty,E. Par. S. Mth. Bll. 22 (1894) 106-. 

 . Guichard, G. C. E. 126 (1898) 1556-, 



1616-. 

 . Tzitzeica \Titeica], . C. E. 128 (1899) 



288. 

 , and congruences formed of optical axes. 



Cosserat, E. Toul. Fac. Sc. A. 8 (1894) 



C, 3 pp. 

 , related surfaces. Guichard, C. Par. 



EC. Norm. A. 7 (1890) 233-. 

 , transformations. Darboux, G. C. E. 128 



(1899) 953-. 



Surfaces containing one set of curvature centres. 

 Binet, J. P. M. C. E. 12 (1841) 435-. 



corresponding to given surfaces of centres. 

 Enneper, A. Gott. Nr. (1871) 210- ; (1872) 

 577-. 



defined by property of straight lines or 



spheres touching them. Koenigs, G. C. E. 



100 (1885) 847-. 

 R + R' = F (u) + F^ ( Wl ). MontcJieuil, 



de. Par. S. Mth. Bll. 26 (1898) 103-. 

 t 3rd degree, with parabolic umbilical line. 



Saint-Germain, A. de. Bll. Sc. Mth. 12 



(1888) 177-. 

 w ith difference of principal curvatures 



constant. Lipschitz, R. C. E. 104 (1887) 



418, 534. 



divisible by their lines of curvature into 

 squares. Cayley, A. [1872] L. Mth. S. P. 

 4 (1871-73) 8-, 120- ; C. E. 74 (1872) 1445-. 



, differential 



equation. Weingarten, J. L. G. J. Berl. 

 Ak. Sb. (1883) 1163-. 



generated by motion of lines, partial differ- 

 ential equations. Blazek, G. [1864] Wien 

 Sb. 51 (1865) (Ab. 2) 186-. 



generation, analytic expression. Monge, G. 



Turin Mm. Ac. 1 (1784-85) 19-. 



643 



88 2 



