8450 



Surfaces. Radii of Curvature 



8450 



general expression. Escherich, G. von. Arch. 



Mth. Ps. 57 (1875) 385-. 

 at point, Gauss's theorem. Williamson, B. 



QJ. Mth. 11 (1871) 362-. 

 in polar coordinates. Firth, W. Mess. Mth. 5 



(1871) 66-. 

 theory. Grunert, J. A. Arch. Mth. Ps. 43 



(1865) 437-. 

 . Beltrami, E. Mth. A. 1 (1869) 575-. 



, value. Liouville, J. C. B. 32 (1851) 



Normal congruences and curvature of surfaces. 

 Mannheim, A. C. B. 70 (1870) 1074- ; 

 Liouv. J. Mth. 17 (1872) 109-. 



planes to surface. Broca, A. As. Fr. C. E. 

 (1898) (Ft. 2) 170-. 



section of surface, radius of curvature. 

 Salvert, (le vicomte) F. de. (xn) Brux. S. 

 Sc. A. 4 (1880) (Pt. 2) 91-. 



sections of ellipsoid, new expression for 

 greatest and least curvatures. Grunert, J.A. 

 Grunert Arch. 40 (1863) 259-. 



at equal angles, 2 (p) ~ p constant. 

 Brassinne, E. Toul. Mm. Ac. 4 (1848) 

 228-. 



of surface, curvature. Genty, . N. A. 



Mth. 6 (1887) 24-. 



Normals and surface of centres of algebraic 

 surface. Roberts, S. L. Mth. S. P. 4 

 (1871-73) 302-. 



Osculating circle at point of plane section of 

 surface, variation. Saltel, L. [1880] Bor- 

 deaux S. Sc. Mm. 4 (1882) 383-. 



of surface, generalisation of theory. 

 Lipschitz, R. O. S. C. B. 82 (1876) 160-, 

 218-. 



conies of surface at point. Saint-Germain, 

 A. L. de. (xn) Caen Ac. Mm. (1881) 

 93-. 



surfaces, laws. Transon, A. N. A. 



Mth. 9 (1870) 193-. 



hyperboloids. Olivier, T. Par. S. Phlm. 

 N. Bll. (1833) 52-. 



to ruled surfaces. Machovec, F. Prag 



Ceske Ak. Fr. Jos. Bz. (Trida 2) 2 (1893) 

 Art. 10, 8-. 



skew surfaces, construction. Weyr, 



E. [1880] Wien Ak. Sb. 82 (1881) (Ab. 2) 



, . Solin, J. M. Prag Sb. 



(1883) (Mth. Vortr.) 11-. 



surfaces. Olivier, T. Liouv. J. Mth. 6 

 (1841) 296-. 



. Spottiswoode, W. C. B. 79 (1874) 24-, 

 105. 



. Pepin, T. Liouv. J. Mth. 7 (1881) 



, contact. Hachette, J. N. P. Par. S. 



Phlm. Bll. (1822) 36. 

 , degree. Jonquieres, de. C. B. 98 



(1884) 1025-. 



Paraboloids osculating surfaces. Picart, A. 



N. A. Mth. 1 (1882) 163-. 

 Plane sections of ellipsoid, curvature. Grunert, 



J. A. Grunert Arch. 28 (1857) 1-. 



Principal curvatures, product. Brioschi, F. 



Tortolini A. 3 (1852) 273-. 

 " tangent" curves on algebraic surface. 



Dyck, W. D. Mth. Vr. Jbr. 1 (1892) 60-. 

 Properties of contact transformations in con- 

 nexion with curvature. Mehmke,R. Z.Mth. 



Ps. 38 (1893) 7-. 

 Pseudo-spherical surfaces. Genocchi,A. Brux. 



Ac. Bll. 36 (1873) 181-. 

 , Backlund's transformation for. Bianchi, 



L. Em. B. Ac. Line. Ed. 1 (1892) (Sem. 2) 3-. 

 Quadric, curvatures at a point. Zech, P. D. 



Nf. Vsm. B. 34 (1858) 145. 

 Quadrics, curvature. Servais, C. Brux. Ac. 



Bll. 24 (1892) 467-. 

 , and polhodes. Servais, C. Brux. Ac. 



Bll. 25 (1893) 772-. 

 , hyperosculation conies. Enneper, A . Gott. 



Nr. (1874) 127-. 

 umbilically touching two spheres. Aoust, L. 



C. B. 54 (1862) 765-. 



Radii of curvature. 



Rodrigues, (Vr) . Par. S. Phlm. Bll. (1815) 

 34-. 



Adams, Jas. 



Thomson A. Ph. 14 (1819) 116-. 



Lame's and other curves and surfaces. 

 Godefroy, R. Par. EC. Pol. J. 62 (1892) 37-. 



mechanical determination from oscillation of 



bar placed on surface. Baehr, G. F. W. 



As. Fr. C. E. 6 (1877) 203-. 

 of orthogonal projection of curve traced on 



surface. Mannheim, A. C. E. 78 (1874) 



1214-. 

 at any point of surface denned by its tangential 



equation. Painvin, L. C. E. 73 (1871) 



902- ; Liouv. J. Mth. 17 (1872) 219-. 

 principal. Borchardt, C. W. N. A. Mth. 14 



(1855) 26-. 



. Enneper, A. Schlomilch Z. 8 (1863) 410-. 

 , construction. Weyr, E. [1870] Mth. A. 



3 (1871) 228-. 

 , ratio measured by angle of inflexional 



tangents. Dietrich, R. Z. Mth. Ps. 26 



(1881) 57-. 

 properties. Hachette, J. N. P. Par. EC. Pol. 



Cor. 1 (1804-08) 213-. 

 of quadrics. Dupin, C. Par. EC. Pol. Cor. 1 



(1804-08) 183-. 

 . Clausen, T. As. Nr. 25 (1847) 209-. 



surface given in homogeneous plane co- 

 ordinates. Franz, J. Arch. Mth. Ps. 55 

 (1873) 105-. 



synthetic proof of Euler's theorem. Marx, W. 



Mth. A. 17 (1880) 110-. 

 theorem. Haag, . Par. S. Phlm. Bll. 3 



(1866) 25-. 

 , Haag's. Mannheim, A. (x) Par. S. Phlm. 



Bll. 3 (1866) 27-. 



Eeciprocal figures in space, relations between 

 curvatures. Geisenheimer, L. Z. Mth. Ps. 

 30 (1885) 129-. 



tangents to surface. Hachette, J. N. P. 

 Par. S. Phlm. Bll. (1816) 162-. 



614 



