8820 



Minimal Surfaces 



8820 



Geometrical researches. Sturm, R. Crelle J. 



Mth. 105 (1889) 101-. 

 Helicoids. Falchi, M. G. Mt. 34 (1896) 



89-. 

 Joachimsthal's theorem. Cayley, A. C. B. 



106 (1888) 995-. 

 Minimal curves on surfaces. Minding, E. F. A. 



Crelle J. 5 (1829) 297-. 

 . Berner, T. [1865] Z. Mth. Ps. 



11 (1866) 81-. 

 . Minding, E. F. A. [1878-79] 



St Pet. Ac. Sc. Bll. 25 (1879) 190- ; Crelle J. 



Mth. 86 (1879) 279-. 

 of revolution. Minding, E. F. A. 



[1875] St Pet. Ac. Sc. Bll. 21 (1876) 252-. 

 Minimum areas (alveole). Jacob, . N. A. 



Mth. 2 (1843) 160-. 



circumscribed and maximum inscribed poly- 

 gons to or in ellipse, and analogous polyhedra 

 to or in ellipsoid. Mainardi, G. Em. At. 

 N. Line. 26 (1873) 86. 



property of square and cube. Bouvier, L. C. 

 Gergonne A. Mth. 15 (1824-25) 115-. 



. (Criticism of Bouvier's 



proof.) Gergonne, J. D. Gergonne A. Mth. 



15 (1824-25) 265-. 



Non-algebraic surfaces, containing system of 



algebraic curves. Schwarz, C. H. A. Crelle 



J. Mth. 87 (1879) 146-. 

 Non-Euclidean surfaces. Guichard, . Par. 



EC. Norm. A. 13 (1896) 401-. 

 Periodic surfaces with octahedral symmetry, 



two, equations. Schoenfties, A. C. B. 112 



(1891) 515-. 



Problem. Darboux, G. C. E. 104 (1887) 728-. 

 Problems. Pincherle, S. Mil. I. Lomb. Ed. 



9 (1876) 444-; G. Mt. 14 (1876) 75-, 192. 

 Properties. Mathet, G. C. E. 57 (1863) 868-. 

 . Beltrami, E. Bologna Ac. Sc. Mm. 7 



(1867) 411-. 

 Property. Berdelle, . Par. S. Mth. Bll. 17 



(1889) 102-. 

 , characteristic. Bianchi, L. G. Mt. 22 



(1884) 374-. 



Pseudo-spherical surfaces, applications of 

 hyperbolic functions. Forti, A. (xn) Ev. 

 Sc.-Ind. 15 (1883) 221-, 250-. 



Eeal algebraic surfaces. Lie, M. S. Arch. 

 Mth. Ntvd. 2 (1877) 157-. 



Euled surface. Bonnet, O. Bll. Sc. Mth. 9 



(1885) 14-. 



surfaces. Catalan, E. C. Liouv. J. Mth. 

 7 (1842) 203-. 



, and surfaces with plane lines of curvature. 



Demoidin, A. Brux. Mm. Cour. 8, 58 (1898- 



99) No. 7, 38 pp. 

 Schwarz's formulae, generalisation. Montcheuil, 



de. Par. S. Mth. Bll. 28 (1900) 268-. 

 Singularities. Neovius, E. E. Helsingf. Acta 



16 (1888) 529-. 



Special surfaces. Schroarz, H. A. Berl. Mb. 



(1872) 3-. 

 Surface bounded by skew quadrilateral formed 



by 4 edges of regular tetrahedron. Schwarz, 



H. A. Berl. Mb. (1865) 149-. 



of 5th class. Schilling, C. Bll. Sc. Mth. 

 As. 4 (1880) (Ft. 1) 395-. 



VOL. i. 641 



Surface generated by straight line. Lewanen, S. 

 Z. Mth. Ps. 18 (1873) 423-. 



with given boundary. Riemann, [G. F.] B. 

 Gott. Ab. 13 (1868) (Mth.) 1-. 



between given limits. Poisson, S. D. Crelle 



J. 8 (1832) 361-. 

 . Scherk, H. F. Crelle J. 13 



(1835) 185-. 



having Neil's parabola for plane geodesic. 

 Henneberg, L. Ziir.Vjschr. 21 (1876) 66-. 



of revolution. La Vallee-Poussin, C. J. de. 

 Brux. S. Sc. A. 24 (1900) (Pt. 1) 49-. 



between 2 straight lines in space. Serret, 

 J. A. C. E. 40 (1855) 1078-. 



Surfaces applicable to surfaces of minimum 

 area. Dini, U. C. E. 60 (1865) 340-. 



revolution or spiral surfaces. 

 Demoulin, A. Bll. Sc. Mth. 21 (1897) 244-. 



themselves. Sinigallia, L. G. Mt. 



36 (1898) 172- ; 37 (1899) 171-. 



bounded by 4 edges of skew quadrilateral. 

 Schoenflies, . C. E. 112 (1891) 478-, 548. 



3 straight lines. Neovius, E. R. 



Helsingf. Acta 16 (1888) 573-; 19 (1893) No. 



4, 37 pp. 

 straight lines, theory. Schwarz, H.A. 



Berl. Ak. Sb. (1894) 1237-. 

 , 2-branched, of less area than others with 



same limits. Schwarz, H. A. Gott. Ab. 34 



(1887) (Mth.) 48 pp. 



of 3 first classes of polyhedra. Hoppe, R. 

 Arch. Mth. Ps. 58 (1876) 327-. 



enveloped by system of cones of 2nd degree. 

 Schwarz, C.H.A. Crelle J. Mth. 80 (1875) 301-. 



of given contour, Eiemann's method for 

 determination. Niewengloicski, B. Par. EC. 

 Norm. A. 9 (1880) 227-. 



with given plane or spherical curve as 

 curvature line. Tallqvist, H. Helsingf. 

 Acta 17 (1891) 473-. 



principal curvatures equal and opposite. 

 Roberts, M. Liouv. J. Mth. 11 (1846) 300-. 



. Simon, 0. E. Grunert 



Arch. 27 (1856) 322-. 



, case. Bjorling, E. G. 



Grunert Arch. 4 (1844) 290-. 



, _. Brunei, G. Bor- 

 deaux S. Sc. PV. (1896-97) 62-. 



, . Hadamard, . 



Bordeaux S. Sc. PV. (1896-97) 163-. 



, pair. Roberts, M. 



Liouv. J. Mth. 15 (1850) 323-. 



, ruled, case. Serret, J. A. 



Liouv. J. Mth. 11 (1846) 451-. 



related to minimal surfaces. Appell, P. 

 Am. J. Mth. 10 (1888) 175-. 



representable by elliptic integrals. Lilienthal, 

 von. Crelle J. Mth. 99 (1886) 179-. 



of revolution, to which helicoid can be ap- 

 plied. Lamarle, E. Brux. Ac. Bll. 19 (1865) 

 537-. 



in spaces of constant curvature. Bianchi, L. 

 Em. E. Ac. Line. Mm. 4 (1887) 503-. 



with system of lines of spherical curvature. 

 Dobriner, H. Acta Mth. 10 (1887) 145-. 



of zero mean curvature. Catalan, E. C. 

 Liege S. Sc. Mm. 12 (1885) No. 2, 254-; 13 

 (1886) 180- ; 15 (1888) 259. 



