8450 Lines of Curvature 



and geodesies on ellipsoid. Laing, J. G. QJ. 

 Mth. 5 (1862) 367-. 



, properties. Picart, A. N. A. 



Mth. 1 (1882) 49-. 



, etc., on surfaces and pseudo-surfaces. 

 Issaly, (I'abbe) . Bordeaux S. Sc. PV. 

 (1898-99) 38-. 



of locus of points, sum of distances of which 

 from two intersecting straight lines is con- 

 stant. Catalan, E. C. Brux. Mm. Cour. 

 4, 32 (1865) 34 pp. 



modes of transformation retaining. Darboux, 

 G. C. K. 92 (1881) 286-. 



on parallel surface to quadric. Johnston, J. P. 

 Mess. Mth. 18 (1889) 88-. 



plane. Liouville, J. Liouv. J. Mth. 11 (1846) 



. Lebesgue, V. A. Liouv. J. Mth. 11 (1846) 

 336-. 



or spherical. Bonnet, 0. C. E. 36 (1853) 

 291-, 389-; Par. EC. Pol. J. 35" cah. (1853) 

 117-. 



. Brioschi, F. Tortolini A. 8 (1857) 



297-. 

 principal, Joachimsthal's theorem. Maggi, 



P. G. Yen. At. 1 (1850) 64-. 

 of quadric analogous to lines in plane. Aoust, 



L. C. E. 49 (1859) 729-. 



quadrics. Thomson, (Sir) W. Camb. Mth. 

 J. 4 (1845) 279-. 



. Chasles, M. C. E. 22 (1846) 107-. 



. Bonnet, 0. N. A. Mth. 7 (1848) 331-. 



. Aoust, L. C. E. 51 (1860) 640- ; 52 



(1861) 1150-. 



. Torry, A. F. Mess. Mth. 1 (1862) 69-. 



. Cremona, L. [1870] Bologna Ac. Sc. 



Mm. 1 (1871) 49-. 



. Ryew, M. L. G. Mt. 11 (1873) 111-. 



. Laguerre, E. [1876] Par. S. Mth. Bll. 



5 (1877) 24-. 

 . Mannheim, . Par. S. Mth. Bll. 23 



(1895) 1-. 

 , and confocal quadrics. Weyr, E. Wien 



Sb. 58 (1868) (Ab. 2) 60-. 



, osculation planes. Machovec, F. Prag 

 Sb. (1889) 2 (Mth.-Nt.) 352-. 



, theorems. Mannheim, A. E. S. P. 32 



(1881) 447-. 



and radii of curvature on surfaces, and trans- 

 formation of double integrals connected 



therewith. Rodriguez, (Dr) . Par. EC. 



Pol. Cor. 3 (1814-16) 162-. 

 in reciprocal surfaces, correspondences. Serret, 



P. C. E. 103 (1886) 1116-. 

 , (Serret). Lindelof, L. L. C. E. 



104 (1887) 43. 

 of ruled hyperboloid, integration of Euler's 



equation by. Floquet, G. N. A. Mth. 14 



(1875) 120-. 

 , (Floquet). Escary, . 



N. A. Mth. 15 (1876) 61-. 

 surfaces. Weyr, E. C. E. 78 (1874) 



1649-. 



skew surfaces. Bioche, C. Par. S. Mth. 

 Bll. 16 (1888) 119-. 



surface 2 = L cos y - L cos x. Saint Germain, 

 A. de. N. A. Mth. 18 (1879) 201-. 



Measure of Curvature 8450 



and surfaces admitting common evolute. 



Pirondini, G. G. Mt. 22 (1884) 272-, 377; 



23 (1885) 222-. 

 surfaces admitting two series of orthogonal 



geodesic circles for. Adam, P. Par. S. Mth. 



Bll. 22 (1894) 110-. 

 of surfaces generated by circles. Lelieuvre, . 



C. E. 118 (1894) 967-. 

 theorem. Wangerin, A. D. Nf. Vh. (1900) 



(Th. 2, Halfte 1) 6. 

 theory. Grunert, J. A. Grunert Arch. 37 



(1861) 205-. 

 . Ribaucour, A. C. E. 74 (1872) 1489-, 



1570-. 

 of wave surface. Brioschi, F. Tortolini A. 2 



(1859) 135-, 285-. 

 _ . Combescure, E. Tortolini A. 2 



(1859) 278-. 



. Darboux, G. C. B. 97 (1883) 

 1133-. 



Lines of equal curvature on skew surface, 

 construction. Olivier, T. Par. S. Phlm. 

 N. Bll. (1833) 109-. 



and surfaces. Stuyvaert, M. Brux. Mm. 

 Cour. 8, 55 (1896-98) No. 6, 19 pp. 



, elementary theory. Gergonne, J, D. 



Gergonne A. Mth. 9 (1818-19) 127-. 

 Mean curvature. Minding, E. F. A. [1874] 



St P^t. Ac. Sc. Bll. 20 (1875) 531-. 



of ellipsoid, sphere. Grunert, J. A. 

 Arch. Mth. Ps. 42 (1864) 256-; 43 (1865) 

 361-. 



at point. Unferdinger, F. Wien Sb. 67 



(1873) (Ab. 2) 361-. 



Measure of curvature. 



Gauss, C. F. Gott. Cm. 6 (1823-27) 99-. 

 Chelini, D. Tortolini A. 2 (1851) 291-. 

 Grunert, J. A. Grunert Arch. 28 (1857) 



285-. 

 Casorati, F. Tortolini A. 3 (1860) 363-; 4 



(1861) 177-. 

 Mahler, E. [1881] Arch. Mth. Ps. 67 (1882) 



96-. 

 Casorati, F. Mil. I. Lomb. Ed. 22 (1889) 



335-, 842 ; Acta Mth. 14 (1890-91) 95-. 

 Lilienthal, R. von. Acta Mth. 16 (1892-93) 



143-. 

 Gauss's. Liouville, J. Liouv. J. Mth. 12 



(1847) 291-. 

 . Bertrand, J. Liouv. J. Mth. 13 (1848) 



80-. 

 . Puiseux, V. Liouv. J. Mth. 13 (1848) 



87-. 

 . Frenet, F. Bordeaux Mm. S. Sc. 6 (1868) 



385-. 



, extension for triangles on surfaces of con- 

 tinuous curvature. Schering, E. Gott. Nr. 



(1868) 389-. 

 , improved form of formula. Warren, J. W. 



QJ. Mth. 16 (1879) 219-. 

 , theory. Stackel, P. Crelle J. Mth. Ill 



(1893) 205- ; Leip. Mth. Ps. B. 45 (1893) 



163-. 



, _. Wangerin, A. Leip. Mth. Ps. B. 45 

 1893) 170-. 



613 



