Minimal Surfaces 



8820 



Sphero-conics, confocal, differential equation. 



Burnside, W. Mess. Mth. 20 (1891) 60-. 

 Spheroidal trigonometry. Puissant, L. [1813- 



29] Par. S. Phlm. Bll. 3 (1813) 273-; Par. 



Mm. Ac. Sc. 10 (1831) 457-. 



, especially geodesies. Gudermann, C. 

 [1847] Crelle J. 43 (1852) 294-. 



Spiral, conical, development. Jube, E. N. 



A. Mth. 4 (1845) 454-. 



on tore. Kinealy, J. H. St Louis Ac. T. 

 5 (1892) 1-. 



Surfaces, reciprocally polar, relations between 

 infinitesimal elements. Demoulin, A. C. 



B. 114 (1892) 1102-. 



of revolution cut by sphere in geodesies. 

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



System of variables, new, of Bonnet. Tortolini, 



B. [1868] Em. At. N. Line. 22 (1869) 172-. 

 Trajectories cutting at given angle tangents to 



any curve. Molins, H. Toul. Mm. Ac. 2 



(1846) 65-. 

 skew curve. Molins, H. 



Toul. Mm. Ac. 6 (1839-41) 33-. 

 , on given surface or in space, rendering 



minimum I <f> (v) ds, where v is the velocity. 



Roger, E. C. E. 40 (1355) 1176-. 

 surfaces. Gilbert, P. Brux. Ac. Bll. 25 



(1868) 288-. 

 Triangle on spheroid, reduction of angle to angle 



of plane or spherical triangle. Weingarten, J. 



As. Nr. 75 (1870) 91-. 

 Triangles formed by lines of system (a) or by 



geodesies, sum of angles. Boklen, O. Arch. 



Mth. Ps. 43 (1865) 18-. 



on spheroid. Legendre, A. M. Par. Mm. 

 de PI. 6 (1806) (Sem. 1) 130-. 



, problems. Proteus, P. Nicholson 



J. 8 (1804) 151-. 



, solution. Baeyer, (Gen.-Lt.) J. J. 

 As. Nr. 61 (1864) 225-; 71 (1868) 289-. 



8820 Minimal surfaces. 



Gergonne, J. D. Gergonne A. Mth. 7 (1816-17) 



143-, 283-. 

 Bonnet, O. C. E. 40 (1855) 1107- ; 41 (1855) 



1057- ; 42 (1856) 532-. 

 Lamarle, E. Brux. Ac. Bll. 6 (1859) 329-. 

 Christoffel, E. B. Crelle J. 67 (1867) 218-. 

 Roger, E. C. E. 71 (1870) 351-. 

 Schwarz ,C.H.A. Ziir. Vj schr. 19 (1874) 243-. 

 Kiepert, L. [1875-77] Crelle J. Mth. 81 (1876) 



337-; 85 (1878) 171-. 

 Cayley, A. QJ. Mth. 14 (1877) 190-. 

 Lie, M. S. Arch. Mth. Ntvd. 4 (1879) 477-. 

 Schwarz, H. A. Helsingf. Acta 15 (1888) 315-. 

 Vivanti, J. Z. Mth. Ps. 33 (1888) 137-. 

 Cayley, A. C. E. Ill (1890) 953-. 

 Carvallo, E. Bll. Sc. Mth. 18 (1894) 12-. 

 Pad, P. Tor. Ac. Sc. At. 29 (1894) 446-. 

 Stiickel, P. Leip. Mth. Ps. B. 48 (1896) 478-. 

 Guichard, C. C. E. 126 (1898) 1487-. 

 Bromwich,T.J.I'A. L. Mth. S. P. 30 (1899) 276-. 

 Richmond, H. W. Camb. Ph. S. T. 18 (1900) 324-. 

 Algebraic surfaces. Geiser, C. F. [1870] Mth. 



A. 3 (1871) 530-. 



Algebraic surfaces, determination of lowest 

 class number. Henneberg, L. [1877] A. Mt. 

 9 (1878-79) 54-. 



inscribed in algebraic developable. Lie, 



M. S. Arch. Mth. Ntvd. 3 (1878) 340-. 



sphere, and algebraic curves of 



constant torsion. Cosserat, E. G. E. 120 

 (1895) 1252- . 



inscriptible in cone, determination of all. 



Lie, M. S. Arch. Mth. Ntvd. 3 (1878) 224-. 

 , projective and metrical researches. Lie, 



M. S. Mth. A. 14 (1879) 331- ; 15 (1879) 465-. 

 Apsidal or conjugate surfaces. Gilbert, P. 



Brux. Ac. Bll. 28 (1869) 31-. 

 Area, second variation, especially for helicoids. 



Schwarz, H. A. Berl. Mb. (1872) 718-. 

 Case. Catalan, E. C. Par. S. Phlm. PV. 



(1841) 59-. 

 . Salvatore-Dino, N. Nap. Ed. 19 (1880) 



148-. 

 . Zeeman, P. Haarl. Ms. Teyl. Arch. 5 



(1898) 299-. 



, construction of model. Tallqvist, H. Hel- 

 singf. Ofv. 31 (1889) 32-. 

 Cases, determination. Herzog,A. Ziir.Vjschr. 



20 (1875) 217-. 

 Catenoid as minimal surface, limits. Lindelof, 



L. L. [1870] Helsingf. Acta 9 (1871) 353-. 

 Class. Weierstrass, C. Berl. Mb. (1867) 511-. 

 . Stouff, X. Toul. Fac. Sc. A. 6 (1892) A, 



8pp. 



Continuous surface bounded by skew quadri- 

 lateral. Tucci, F. P. [1852] Nap. Mm. Ac. 



Sc. 1 (1852-54) 49-. 

 Curve, rotation of which generates minimal 



surface. Saalschiitz, L. Arch. Mth. Ps. 5 



(1887) 131-, vn. 

 Cyclic surface, determination of constants. 



Juga, G. Mth. A. 52 (1899) 167-. 

 Developable surface with known edge of re- 

 gression. Monge, G. Par. EC. Pol. Cor. 1 



(1804-08) 209-. 

 passing through curve which developes 



into arc of circle of given radius. Molins, H. 



Liouv. J. Mth. 1 (1856) 265-. 

 Division of space with minimum partitional 



area. Thomson, (Sir) W. Ph. Mg. 24 (1887) 



503-. 

 Doubly connected surface. Kluyver, J. C. 



Amst. Ak. Vh. (Sect. 1) 3 (1896) No. 9, 42pp. ; 



Fschr. Mth. (1895) 746-. 

 Expression of line element. Soler, E. Palermo 



Ac. At. 4 (1897) (Sc. Nt.) 10 pp. 

 Family. Weingarten, J. Gott. Nr. (1887) 272-. 

 . Rouquet, V. Toul. Ac. Sc. Mm. 2 (1890) 



127-. 



of spheres connected with minimal surfaces. 

 Rouquet, V. Toul. Ac. Sc. Mm. 1 (1889) 56-. 



Focal conies of confocals, construction of sur- 

 faces, with centres of curvature on. Roberts, 

 W. C. E. 53 (1861) 799-. 



General equation. Weiler, A. Grunert Arch. 

 38 (1862) 356-. 



Generation. Mathet, G. Liouv. J. Mth. 8 

 (1863) 323-. 



Geodesies. Lie, M. S. Arch. Mth. Ntvd. 6 

 (1882) 490-. 



640 



