8810 Curves on Surfaces 



plane, on spheres, shadows. Jeffery, H. M. 



[1875] QJ. Mth. 14 (1877) 53-. 

 of principal tangents of skew surfaces. Clebsch, 



R.F.A. [1867] Crelle J. 68 (1868) 151-. 

 properties. Raabe, J. L. Crelle J. 2 (1827) 



368-. 



. Brioschi, F. Tortolini A. 5 (1854) 232-. 

 . Gilbert, P. Brux. Ac. Bll. 9 (1860) 46-. 

 . Ribaucour, A. C. B. 80 (1875) 642-. 



(Eibaucour). Mannheim, A. C. E. 80 

 (1875) 725-. 



property. Laguerre, E. [1870] (x) Par. S. 



Phlm. Bll. 7 (1871) 49-. 

 on quadrics, formula. Laguerre, . N. A. 



Mth. 9 (1870) 5-. 

 radii of curvature, demonstration of Bonnet's 



formulas. Beltrami, E. G. Mt. 4 (1866) 



123-. 

 on right cylinder with circular base. Az- 



zarelli, M. [1876] Em. N. Line. At. 30 



(1877) 1-. 



scroll, number of intersections. Story, 

 W. E. (xn) J. H. Un. Cir. [2] (1883) 143. 



skew, on sphere, absolute radius of osculating 



circle, and evolutes. Plana, G. Mod. S. It. 



Mm. 24 (1848) 343-. 

 on sphere. Bacaloglo, E. Grunert Arch. 



35 (1860) 57-. 

 . Gilnther, S. Arch. Mth. Ps. 56 (1874) 



267-. 

 ,arcs. Newengloivski,(Prof.). Par. EC. 



Norm. A. 2 (1873) 137-. 

 , class. Roberts, W. Ir. Ac. P. 2 (1844) 



194-. 

 , evolutes. Mehler, F. G. [1863] (vm) 



Crelle J. 64 (1865) 183-. 



and plane, transmutation method. 

 Roberts, W. Liouv. J. Mth. 13 (1848) 209-. 



surface of right cone, involutes. Valles, F. 

 Gergonne A. Mth. 17 (1826-27) 349-. 



surfaces of revolution. Biehringer, (Dr) . 

 Z. Mth. Ps. 18 (1873) 552-; 21 (1876) 229-; 

 22 (1877) 151- ; 28 (1883) 157-. 



, transformation. Pirondini, G. 

 Nap. Ed. 29 (1890) 155-. 



touching one another, relation due to 



Laguerre. Mannheim, A. C. E. 82 (1876) 



554-. 

 theory. Cosserat, E. Toul. Ac. Sc. Mm. 



7 (1895) 366-. 

 torsal, on ruled surface, determination of 



number. Schubert, H. C. H. Mth. A. 



17 (1880) 575-. 

 transformation. Faure, H. Mntp. Ac. Sc. 



Mm. 2 (1851-54) 463-. 



Darboux or D lines. (Curves on surface, with 

 osculating sphere touching surface at every 

 point.) Darboux, G. C. E. 73 (1871) 

 732-. 



. Cosserat, E. C. E. 121 (1895) 



" . Hardy, J. G. Am. J. Mth. 



20 (1898) 283-. 

 on quadrics. Pell, A. N. Y. Am. 



Mth. S. T. 1 (1900) 315-. 



Geodesies 8810 



Differential parameters, application in theory 

 of surfaces. Bendixson, I. Stockh. Ofv. 

 (1897) 331-. 



Expression for ds* in three variables, new. 

 Levi-Civita, . C. E. 124 (1897) 1434-. 



Extension to any surface of Euler's problem on 

 ds 2 =dx* + dy*. Koenigs, G. C. E. 108 

 (1889) 221-. 



Fundamental equations, geometrical signi- 

 ficance. Knoblauch, J. Acta Mth. 15 



(1891) 249-. 



Geodesic arcs on ellipsoid whose difference is 

 algebraic. Staude, E. 0. Mth. A. 20 (1882) 

 185-. 



circles. Ribaucour, A. [1870] (xi) Par. 

 S. Phlm. Bll. 7 (1871) 22-, 110-, 124-. 



, contact transformations. Oseen, C. W. 



Stockh. Ofv. (1900) 957-. 

 and parallel curves. Betti, E. Tortolini 



A. 3 (1860) 336-. 



curvature. Bonnet, O. C. E. 42 (1856) 

 1137-. 



. Schlesinger, L. Orv.-Termt. Ets. 

 (Termt. Szak) (1891) 267-. 



. Lilienthal, R. von. Mth. A. 42 (1893) 



505-. 



. Staude, O. Dorpat Sb. 11 (1896) 72-. 



. Vostokov, I. A. Vars. S. Nt. Tr. 



(1895-96) (C.R., Ps. C.) No. 8, 5 pp. 



, centres. Caronnet, T. C. E. 115 



(1892) 589-. 



orthogonals on sphere and spheroid. 

 Berardinis, G. de. G. Mt. 27 (1889) 127-, 

 318- ; 28 (1890) 53-, 138-. 



polygons on quadrics. Staude, E. O. Mth. 

 A. 21 (1883) 219-. 



representation, most general, of geodesic 

 circles of surface. Lie, S. Arch. Mth. Ntvd. 

 9 (1884) 62-. 



torsion. Mathews, G. B. QJ. Mth. 27 

 (1895) 145-. 



angles, of intersection of two surfaces. 



Mannheim, A. Mess. Mth. 8 (1879) 122. 



triangle on spheroid. Puissant, L. Par. 

 Mm. Ac. Sc. 10 (1831) 530-. 



surface and corresponding spherical 



triangle, ratio of areas. Clausen, T. As. 

 Nr. 20 (1843) 13-; 21 (1844) 145-. 



Geodesies. 



Minding, E. F. A. Crelle J. 20 (1840) 323-. 

 Spitzer, S. Grunert Arch. 23 (1854) 125-. 

 Bonnet, 0. C. E. 40 (1855) 1311- ; 41 (1855) 



32-. 



Grunert, J. A. Grunert Arch. 37 (1861) 264-. 

 Anon, (xi 41) Mess. Mth. 5 (1871) 87-. 

 Enneper, A. Z. Mth. Ps. 18 (1873) 613-. 

 Hoppe, R. Arch. Mth. Ps. 64 (1879) 60-. 

 Boklen, O. Z. Mth. Ps. 26 (1881) 264-. 

 Lie, M. S. Mth. A. 20 (1882) 357-. 

 Pirondini, G. G. Mt. 23 (1885) 288-. 

 Ermakov, V. P. Eec. Mth. (Moscou) 15 (1891) 



576-; Fschr. Mth. (1890) 760. 

 Lechalas, G. N. A. Mth. 10 (1891) 527-. 

 Koenigs, G. [1892] Par. Mm. Sav. Etr. 31 



(1894) No. 6, 318 pp. 



636 



