8860 



Orthogonal Surfaces 



8860 



Darboux, G. C. E. 67 (1868) 1101-. 

 Ribaucour, A. (xi) Par. S. Phlm. Bll. 



6 (1869) 1-, 26-. 



Tisserand, F. C. B. 72 (1871) 734-. 

 Enneper, A. Gott. Nr. (1872) 226-; (1873) 



423-. 



Darboux, G. C. B. 76 (1873) 41-, 83-, 160-. 

 Catalan, E. C. C. E. 79 (1874) 28-. 

 Tilly, J. M. de. C. E. 87 (1878) 361-. 

 application of elliptic coordinates. Roberts, W. 



C. E. 53 (1861) 546-; Crelle J. 62 (1863) 50-. 

 Cayley's differential equation for. Johnson, 



A. R. Mess. Mth. 16 (1887) 27-, 111. 

 , extension. Johnson, A. R. QJ. 



Mth. 22 (1887) 81-. 

 and confocal surfaces. Legoux, A. QJ. Mth. 



20 (1885) 1-. 



curvature. Cayley, A. Phil. Trans. 163 

 (1873) 229-. 



Dupin's theorem and its converse, geometrical 

 proof. Sommerfeld, A. D. Mth. Vr. Jbr. 



6 (1899) (Heft 1) 123-. 



and lines, formulae. Beltrami, E. Mil. I. 



Lomb. Ed. 5 (1872) 474-. 

 represented by a partial differential equation of 



1st order. Legoux, A. (xn) Isere S. Bll. 



10 (1880) 125, 132-. 

 system, elements, expressed by sigma functions, 



with application to rotation of connected 



solids. Jahnke, E. Liouv. J. Mth. 5 (1899) 



155-. 



formed by most general system of quadrics 

 and two other systems. Schlafli, L. [1870] 

 Crelle J. 76 (1873) 126-. 



systems. Puiseux, V. Liouv. J. Mth. 8 



(1863) 335-. 

 . Enneper, A. (vn) Mth. A. 7 (1874) 



. Darboux, G. [1877] Par. EC. Norm. A. 



7 (1878) 101-, 227-, 275-. 



. Adam, P. C. E. 121 (1895) 812-. 



. Goursat, E. C. E. 121 (1895) 883-. 



. Weyr, E. Casopis 25 (1896) 42-; Fschr. 



Mth. (1896) 506. 

 . Tzitzeica [Titeica], . C. E. 127 (1898) 



856. 



. Pellet, A. C. E. 128 (1899) 284-. 

 . Servant, . C. E. 130 (1900) 28-. 



admitting continuous group of Combescure 

 transformations. Egorov, D. T. C. E. 

 131 (1900) 668-. 



. Fouche, M. C. E. 



131 (1900) 873-. 

 , algebraic. Darboux, G. C. E. 69 (1869) 



392-. 

 , associated. Guichard, C. C. E. 125 



(1897) 929-. 

 , class including isothermic systems as 



particular case. Darboux, G. C. E. 84 



(1877) 298-. 



and congruences. Guichard, . C. E. 

 125 (1897) 564-. 



cyclic systems. Guichard, C. C. E. 



125 (1897) 519- ; Par. EC. Norm. A. 14 

 (1897) 467-; 15 (1898) 179-. 



including family of quadric surfaces. 

 Darboux, G. C. E. 84 (1877) 336-. 



systems obtained by substitution with 4 para- 

 meters. Mehler, F. G. Crelle J. Mth. 84 

 (1878) 219-. 



, and orthogonal systems of curves. Brill, 

 J. Camb. Ph. S. P. 6 (1889) 230-. 



, partial differential equation of 3rd order 

 for. Darboux, G. Acta Mth. 4 (1884) 93-. 



and partial differential equations. Bdcklund, 

 A. V. Mth. A. 40 (1892) 194-. 



theorem. Adam, P. C. E. 103 (1886) 996-. 

 theory, definite integrals deduced from. 



Ostrogradsky, . (vm) St Pet. Ac. Sc. 



Bll. 7 (1840) 362-. 

 , theorems demonstrated by. Lame, G. 



C. E. 21 (1845) 112-. 



triple system. Combescure, E. [1862] (vn) 



A. Mt. 5 (1863) 39-. 

 . Hoppe, R. Arch. Mth. Ps. 55 (1873) 



362-; 56 (1874) 153-, 250- ; 57 (1875) 89-, 



255-, 366-; 58 (1876) 37-. 

 , condition that family of surfaces should 



belong to. Hoppe, R. Arch. Mth. Ps. 



63 (1879) 285-. 

 of developable. Molins, H. Toul. Ac. 



Sc. Mm. 1 (1879) (Sem. 1) 81-. 

 , elements of volume between. Chelini, 



D. Palomba Eac. 2 (1846) 109-, 126-. 



formed from surfaces of 4th degree. 

 Wangerin, F. H. A. Crelle J. Mth. 82 



(1877) 145-, 348. 



, isothermic, theory. Salvert, (le vicomte) 



de. Brux. S. Sc. A. 13 (1889) (Pt. 2) 117- ; 

 14 (1890) (Pt. 2) 71-; 15 (1891) (Pt. 2) 201- ; 

 16 (1892) (Pt. 2) 273-; 17 (1893) (Pt. 2) 103- ; 

 18 (1894) (Pt. 2) 61-. 



, new. Puchta, A. Wien Ak. Sb. 

 102 (1893) (Ab. 2a) 1197-. 



systems. Betti, E. A. Mt. 8 (1877) 138-. 

 . Kotteritzsch, T. Z. Mth. Ps. 23 



(1878) 158-. 



. Levy, L. Liouv. J. Mth. 8 (1892) 



351- ; C. E. 117 (1893) 477-; Brux. Mm. 

 Cour. 4", 54 (1896) No. 9, 92 pp. 



. Geiser, C. F. Zur. Vjschr. 43 (1898) 



317-. 



of algebraic. Roberts, W. C. E. 58 

 (1864) 291-. 



, class. Morin, P. C. E. 67 (1868) 788-. 



, . Bianchi, L. [1882] Em. E. Ac. 



Line. T. 7 (1883) 46-. 



, including system of helicoids. 

 Bianchi, L. A. Mt. 13 (1885) 39-. 



, , new. Bianchi, L. A. Mt. 18 



(1890) 301-. 

 , cyclic. Bianchi, L. G. Mt. 21 (1883) 



275-; 22 (1884) 333-. 

 , cyclic systems. Ribaucour, A. C. E. 



76 (1873) 478-. 

 , of Eibaucour. Backlund, A. V. 



Stockh. Ak. Hndl. Bh. 16 (Afd. 1) (1891) 



No. 1, 32 pp., No. 8, 41 pp.; 17 (Afd. 1) 



(1892) No. 2, 41 pp.; Fschr. Mth. (1891) 



395. 



, Dupin's theorem. Hamilton, (Sir) 

 W. R. Ir. Ac. P. 6 (1853-54) 86-. 



, equation of condition for parameters. 

 Ricci, G. Em. E. Ac. Line. Ed. 3 (1894) 

 (Sem. 2) 93-. 



652 



