8450 



Curvature of Surfaces 



8450 



Sphero-conic, arc of. Bur stall, H. F. W. 



[1886] L. Mth. S. P. 18 (1886-87) 58-. 

 Striction line of curve system. Brioschi, F. 



Mil. G. I. Lomb. 9 (1856) 400-. 



lines and maximum distance lines of curve 

 systems. Pircmdini, G. Bologna Ac. Sc. 

 Mm. 1 (1890) 631-. 



Tangent to conical spiral. Voiles, F. Ger- 

 gonne A. Mth. 16 (1825-26) 376-. 



, normal and binormal, straight lines con- 

 nected with. Cesaro, E. N. A. Mth. 2 

 (1883) 129-. 



and osculating planes of curves and surfaces. 

 Vanedek, M. N. C. B. 96 (1883) 1562-. 



Theorem of Gauss generalised. Jacobi, C. G.J. 



As. Nr. 20 (1843) 115-. 

 Theorems. Frenet,F. N. A. Mth. 12 (1853) 365-. 



ofNavier. Chw,F. TortoliniA.3(1860)353-. 

 Theory. Bertrand,J. Liouv. J. Mth. 15 (1850) 



332- ; C. E. 31 (1850) 623- ; 63 (1856) 829-. 

 . Hoppe,R. Arch. Mth. Ps. 60 (1877) 376-. 

 . Enneper, A. Mth. A. 19 (1882) 72-. 



Bouquet, V. Toul. Ac. Sc. Mm. 3 (1891) 

 117- ; 4 (1892) 241-. 



, class of differential equations in. Serret, 



J.A. C. R. 35 (1852) 50-; Liouv. J. Mth. 



18 (1853) 1-. 

 , extension of Aoust's problem. Hoppe, B. 



Arch. Mth. Ps. 2 (1885) 129-. 

 Torsion angle. Terquem, O. N. A. Mth. 4 



(1845) 266-. 

 . Lemonnier,H. N. A. Mth. 4 (1845) 606- . 



of curve defined by its osculating plane. De- 

 moulin, A. Par. S. Mth. Bll. 28 (1900) 180-. 



, method of calculating. Steen, A. (xn) 



Ts. Mth. 2 (1866) 178-. 

 , radius. Mehmke, B. Arch. Mth. Ps. 62 



(1878) 212-. 

 , spherical, of curves, and geodesic torsion of 



lines on surface. Demartres, . Bll. Sc. 



Mth. 21 (1897) 182-. 

 Tortuosity at singular points. Staude, 0. van. 



Am. J. Mth. 17 (1895) 359-. 

 Transformation of skew into plane curves. 



Enneper, A. Z. Mth. Ps. 12 (1867) 123-. 

 Transformations, infinitesimal, of rectangular 



trihedron. Catalan, E. C. Lie'ge S. Sc. 



Mm. 6 (1877) No. 3, 79 pp. 

 Trihedron, given relation among direction co- 

 sines. Hoppe, B. Arch. Mth. Ps. 1 (1884) 46-. 



8450 Curvature of surfaces ; cur- 

 vilinear coordinates, and other 

 applications of the differential 

 calculus to surfaces. (See also 

 5226, 8810, 8840, 8850.) 



CURVATURE OF SURFACES. 



Hachette, J. N. P. Par. S. Phlm. Bll. (1823) 



147- ; Crelle J. 1 (1826) 371-. 

 Gergonne, J. D. Gergonne A. Mth. 21 (1830- 



31) 217-. 



Germain, (Mile.) S. Crelle J. 7 (1831) 1-. 

 Poisson, S. D. Par. EC. Pol. J. 21 e ca/j. (1832) 



205- . 



Young, J. B. R. S. P. 4 (1838) 112-. 

 Finck, B. Liouv. J. Mth. 9 (1844) 400. 

 Chelini, D. Palomba Rac. 1 (1845) 105-, 



129-, 140-, 156-. 



Sereni, C. Palomba Rac. 1 (1845) 353-. 

 Babinet, J. C. R. 25 (1847) 441-. 

 Molins, H. Toul. Mm. Ac. 6 (1850) 97-. 

 Bonnet, O. C. R. 33 (1851) 89-; 37 (1853) 



Alings',A. W. Grunert Arch. 20 (1853) 423-. 



Chelini, D. Tortolini A. 4 (1853) 337-. 



La Gournerie, J. de. Liouv. J. Mth. 20 (1855) 



145-. 



Babinet, J. C. R. 49 (1859) 418-. 

 Bacaloglo, E. Schlomilch Z. 4 (1859) 312-. 

 Cayley, A. QJ. Mth. 3 (1860) 322-. 

 Ostrogradsky, M. A. St Pet. Ac. Sc. Bll. 1 



(1860) 545-. 



Beltrami, E. (vn) A. Mt. 4 (1861) 283-. 

 Aoust, L. C. R. 57 (1863) 217-. 

 Boklen, 0. Arch. Mth. Ps. 41 (1864) 32-. 

 Minding, E. F. A. A. Mt. 6 (1864) 201-. 

 Nicolaldes, N. C. R. 60 (1865) 634-. 

 Gilbert, L. P. (ix) Par. S. Phlm. Bll. 4 



(1867)226-; 5 (1868) 3-. 

 Aoust, (Vabbe) . (ix) Par. S. Phlm. Bll. 



4 (1867) 240- ; 5 (1868) 24-, 102- ; (vn) 



C. R. 67 (1868) 768-. 



Chelini, D. Bologna Ac. Sc. Mm. 8 (1868) 27-. 

 Dini, U. Mod. Mm. S. It. 1 (pte. 2) (1868) 17-. 

 Roger, E. A. Mines 14 (1868) 47-. 

 Mainardi, G. Rm. At. N. Line. 23 (1869) 220- ; 



26 (1873) 77-. 



Boger, E. C. R. 69 (1869) 1071-. 

 Enneper, A. Mth. A. 2 (1870) 587-. 

 Zeuthen, H. G. (xn) Ts. Mth. 1 (1871) 125-. 

 Hansen,P.C.V. (xn) Ts. Mth. 2 (1872) 113-. 

 Azzarelli, M. [1875] Rm. N. Line. At. 29 



(1876) 16-. 



Serret, P. C. R. 84 (1877) 543-. 

 Boklen, 0. Z. Mth. Ps. 27 (1882) 369-; 29 



(1884) 129- ; Crelle J. Mth. 96 (1884) 152-. 

 La/on, A. Lyon Ac. Mm. (Sc.) 27 (1885) 331-. 

 Korkin, A. N. Rec. Mth. (Moscou) 13 (1886) 



491- ; Kharkov Mth. S. Com. (1887) 3-. 

 Le Pont, H. As. Fr. C. R. (1888) (Pt. 2) 25-. 

 Suslow, G. Fschr. Ps. (1890) (Ab. 1) 259. 

 Catalan, E. Acta Mth. 15 (1891) 191-. 

 Loria, G. Rv. Mt. 2 (1892) 84-. 

 Servais, C. Brux. Ac. Bll. 27 (1894) 896-. 

 Zorawski, K. Krk. Ak. (Mt.-Prz.) Rz. 13 



(1898) 107- ; Crc. Ac. Sc. Bll. (1896) 390-. 

 Bukrejew, B. J. Fschr. Mth. (1899) 534. 

 Angle between adjacent normals. Lamarle, E. 



C. R. 60 (1865) 851-. 

 Asymptotic lines. Enneper, A. Gott. Nr. 



(1870) 493-; (1871) 2-. 

 . Goursat, E. C. R. 122 (1896) 593-; 



Par. S. Mth. Bll. 24 (1896) 43-. 

 of algebraic surfaces, cases. Stouff, X. 



Par. EC. Norm. A. 10 (1893) 45-. 

 , class. Brambilla, A. Tor. 



Ac. Sc. At. 20 (1885) 784-. 



on catenoid. Bacaloglo, E. Grunert 



"Arch. 35 (1860) 40-. 

 of class of surfaces. Jamet, V. As. Fr. 



C. R. (1886) (Pt. 2) 140-. 



610 



