8830 



Surfaces defined by Differential Properties 



8830 



Surfaces of given curvature. Weingarten, J. 

 Schlomilch Z. 3 (1858) 43-. 



with line element of form du 2 + K 2 cos 2 u . dv 2 . 

 Soler, E. Palermo Ac. At. 4 (1897) (Se. Nt.) 

 7pp. 



reducible to form 



f(V+V) (du 2 + dvZ). 



Petot, A. C. B. 110 (1890) 330-. 

 reducible to Liouville's form in 



several ways. Koenigs, G. C. B. 109 (1889) 



565-, 639-. 



lines of curvature equal in 1 system. 

 Demoulin, A. C. B. 130 (1900) 823-. 



forming network with equal 



tangential invariants. Thybaut, A. C. B. 



121 (1895) 519-. 

 helices on any cylinders. Petot , 



A. C. E. 106 (1888) 1517-. 

 isometric. Craig, T. C. E. 



123 (1896) 794-. 

 plane. Dini, U. [1867] A. Mt. 



1 (1867-68) 146-. 

 . Razzaboni, A. Bologna 



Ac. Sc. Mm. 10 (1879) 529-. 

 , all. Bonnet, 0. C. E. 



36 (1853) 81-, 219- ; 42 (1856) 1067-. 

 , . Rouquet, V. Toul. Ac. 



Sc. Mm. 9 (1887) 233- ; 10 (1888) 161-. 

 , . Burnside, W. Mess. 



Mth. 20 (1891) 49-, 148. 

 and equal in 1 system. 



Caronnet, T. C. E. 117 (1893) 842-. 

 or spherical. Enneper, A. 



Gott. Ab. 23 (1878) 95 pp. ; 26 (1880) 139 pp. 

 . Cayley, A. Am. J. 



Mth. 11 (1889) 71-, 293-. 

 . Waelsch, E. C. E. 



128 (1899) 920-. 

 , all. Serret, J. A. 



Liouv. J. Mth. 18 (1853) 113- ; C. B. 36 



(1853) 432-. 

 inl system. Serret, J. A. 



C. B. 42 (1856) 194. 

 . Joachimsthal, F. 



Crelle J. 54 (1857) 181-. 

 . Combescure, E. 



[1883] Mntp. Ac. Mm. 10 (1884) 401-. 



. Pirondini, G. 



G. Mt. 22 (1884) 118-. 



and isothermic. 



Darboux, G. C. E. 96 (1883) 1202-, 1294- ; 



Bll. Sc. Mth. As. 7 (1883) 257- 

 spherical. Blutel, E. C. E. 



122 (1896) 301-. 

 inl system. Serret, J. A. 



C. E. 42 (1856) 109-, 190-. 

 . Dint, 17. [1869] 



Mod. S. It. Mm. 2 (1876) 135-. 



. Enneper, A, 



Gott. Nr. (1872) 17-, 80-. 



. Dobriner, H. 



[1882] Crelle J. Mth. 94 (1883) 116- 



Surfaces with normals tangent to developable 

 surface, case. Monge, G. Par. EC. Pol. J. 

 5 (1806) 1-. 



given surface. Weingarten, J. 



[1861] Crelle J. 62 (1863) 61-. 



sphere, all. Vdlyi, J. Arch. 



Mth. Ps. 68 (1882) 217-. 



, case. Monge, G. Par. EC. 



Pol. J. 4 (1801-02) 28-. 



parallel sections cutting lines of curva- 

 ture under a constant angle. Bianchi, L. 

 Em. E. Ac. Line. Ed. 7 (1891) (Sem. 1) 4-. 



every portion subtending solid angles 

 in given ratio from two fixed points. Weyr, 

 E. [1877] Wien Ak. Sb. 76 (1878) (Ab. 2) 

 859-. 



principal planes equidistant from fixed 



point. Guichard, . C. B. 116 (1893) 



487-. 

 having ratio of distances from fixed 



point constant. Bianchi, L. Bm. B. Ac. 



Line. Ed. 3 (1894) (Sem. 2) 77-. 

 rational generators. Lelieuvre, . C. B. 



113 (1891) 635-. 



of revolution of constant mean curvature. 

 Delaunay, C. Liouv. J. Mth. 6 (1841) 309-. 



. Sturm, J. C. F. Liouv. 



J. Mth. 6 (1841) 315-. 

 . Lindelof, L. L. [1862] 



(vm) Helsingf. Acta 7 (1863) 345-. 

 cut by sphere in geodesic line. Molins, 



H. Toul. Ac. Sc. Mm. 3 (1891) 296-. 



, loxodromes of which (or their 

 analogues) project into logarithmic spirals. 

 Molins, H. Toul. Ac. Sc. Mm. 7 (Sem. 2) 

 (1885) 293- ; 8 (1886) 426-. 



with loxodromic relation. August, F. 



Z. Mth. Ps. 33 (1888) 154-. 



minimum line in given plane. 

 Molins, H. Toul. Ac. Sc. Mm. 2 (1890) 360-. 



, theory. Jung, V. Casopis 9 (1880) 



216- ; Fschr. Mth. (*1880) 569. 

 with RiR 2 constant. Metzler, G. F. 



Am. J. Mth. 20 (1898) 76-. 



with singular meridian curves. Enneper, A . 

 Gott. Ab. 29 (1882) 87 pp. 



system of umbilical lines, arising from 



system of envelopes. Gremigni, M. [1882] 

 Em. B. Ac. Line. Mm. 15 (1883) 3-. 



, 2 systems of geodesies on which form a 

 conjugate system. Voss, A. Munch. Ak. 

 Sb. 18 (1889) 95-. 



of uniform slope, and proportional networks. 

 Lecornu, L. Caen Ac. Mm. (1884) 65-. 



system of curves on them. 

 Lecornu, L. C. B. 98 (1884) 972-. 



zero mean curvature. Weierstrass, C. 



Berl. Mb. (1866) 612-, 855-. 

 . Ribaucour, A. [1880] Brux. 



Mm. Cour. 4, 44 (1882) No. 1, vi + 236 pp. 

 (Eibaucour). Calalan, E. C. 



Brux. Ac. Bll. 50 (1880) 333-. 



Liouville's element of arc. Waelsch, E. , case. Mensbrugghe, G. van der. 



Wien Ak. Sb. 106 (1897) (Ab. 2a) 323-. Brux. Ac. Bll. 21 (1866) 552-. 

 normals tangent to conic surface, case. ' of which 4 straight lines enclose 



Monge, G. Par. EC. Pol. J. 4 (1801-02) finite area. Schwarz, C. H. A. C. E. 96 



59-. (1883) 1011-. 



644 



