8810 



Curves on Surfaces. Geodesies 



8810 



Sochocki, J. Prace Mt.-Fiz. 3 (1892) 82-; 



Fschr. Mth. (1892) 732. 

 (Koenigs.) Eicci, G. Rm. R. Ac. Line. Ed. 



2 (1893) (Sem. 2) 146-, 338-. 

 (Ricci.) Koenigs, G. Rm. R. Ac. Line. Rd. 



2 (1893) (Sem. 2) 336-. 

 Hadamard, . Bordeaux S. Sc. PV. (1896- 



97) 115- , 131. 

 application of theta functions. Hoppe, R. 



Arch. Mth. Ps. 3 (1886) 75-. 



Dximate calculation. Mobile, A. Nap. 

 1. 34 (1895) 139-. 

 cases. Albeggiani, M. L. Palermo Cir. Mt. 



Rd. 3 (1889) 80-. 



. Waelsch, E. C. R. 125 (1897) 521-. 

 complex of principal normals to. Gebbia, M. 



Palermo Cir. Mt. Rd. 1 (1887) 25-. 

 on cone. Antomari, X. Par. S. Mth. Bll. 



17 (1889) 118-. 



. Piccioli,H. N. A. Mth. 17 (1898) 207-. 



conjugate system , surfaces having. Eazzaboni , 



A. Bologna Ac. Sc. Mm. 9 (1888) 765-. 

 of constant curvature on pseudospherical 



surfaces. Reina, V. Rm. R. Ac. Line. Rd. 



5 (1889) (Sem. 1) 448-. 

 and other curves on surfaces. Kummell, C. H. 



Smiths. Misc. Col. 33 (1888) Art. 1, 123-. 



(Wash. Ph. S. Bll. 6 (1884).) 

 departure from normal sections of surface. 



Berardinis, G. de. Tor. Ac. Sc. Mm. 36 



(1885) 159-. 

 on developable surface. Molins, H. Toul. 



Mm. Ac. 5 (1861) 401-. 

 differential equation. Issaly, . N. A. Mth. 



19 (1900) 392-. 

 and elliptic functions. Braunmiihl, A. von. 



Mth. A. 26 (1886) 151-. 

 envelopes. Braunmiihl, A. von. [1878] Mth. 



A. 14 (1879) 557-. 

 equation, and applications. Azzarelli, M. 



Rm. N. Line. At. 31 (1878) 327-. 

 , general, discovery. Enestrom, G. Bb. 



Mth. (1899) 19-. 

 , integration. Brioschi, F. Tortolini A. 



4 (1853) 133-. 

 generalisation of problem. Schlomilch, 0. 



Z. Mth. Ps. 13 (1868) 156-. 

 and geodesic triangle. Brill, A. Munch. Ak. 



Ab. 14 (1883) (Ab. 2) 109-. 

 geometrical demonstrations. Hart, A. S. 



Camb. and Dubl. Mth. J. 4 (1849) 80-. 

 at infinity, and geodesies of ruled quadrics. 



Hadamard, . Par. S. Mth. Bll. 26 (1898) 



195-. 

 integrable, surfaces having. Laguerre, E. 



(x) Par. S. Mth. Bll. 1 (1873) 281. 

 Joachimsthal's theorem, geometrical proof. 



Graves, C. [1850] Crelle J. 42 (1852) 279. 

 length. Ivory, J. QJ. Sc. 21 (1826) 361-. 

 letters to Johann and Daniel Bernoulli. 



Clairaut, A. C. Rm. N. Line. At. 45 (1892) 



245-. 

 lines analogous to. Darboux, G. Par. EC. 



Norm. A. 7 (1870) 175-. 

 and lines of curvature. Joyce, M. J. QJ. 



Mth. 5 (1862) 265-. 

 , general equations. Dickson, B. 



Camb. and Dubl. Mth. J. 5 (1850) 166-. 



and Liouville's isothermic systems. Ricci, G. 

 Yen. I. At. (1893-94) 643-. 



normal plane sections at two adjacent points, 

 divergence between. Berg, F. J. van den. 

 Amst. Ak. Vs. M. 10 (1876) 1-; Arch. Neerl. 



12 (1877) 353-. 



partial differential equation of 3rd order con- 

 nected with. Levy, M. C. R. 85 (1877) 

 904-. 



4th order connected with. 

 Levy, H. C. R. 85 (1877) 938-, 1009-. 



problem, and equations with mixed functions. 



Koenigs, G. C. R. 117 (1893) 683-. 

 , intermediary integrals of equation. Levy, 



M. C. R. 85 (1877) 1150-. 

 , rational integrals. Levy, M. C. R. 85 



(1877) 1065-. 

 projection. Schols, C. M. Delft EC. Pol. A. 



5 (1889) 133-. 

 , curvature. Schols, C. M. Delft EC. Pol. 



A. 2 (1886) 179-. 

 properties. Young, (Dr) T. QJ. Sc. 21 (1826) 



136-. 

 property, fundamental. Ferrers, N. M. QJ. 



Mth. 1 (1857) 245. 

 with quadratic integrals. Koenigs, G. Par. 



S. Phlm. Bll. 5 (1893) 26-. 

 representing motion with 2 degrees of freedom. 



Kelvin, (Lord). B. A. Rp. (1892) 652-. 

 on ruled surfaces. Astor, A. As. Fr. C. R. 



(1887) (Pt. 2) 1-. 

 special, on harmonic surfaces. Raffy, L. 



Par. S. Mth. Bll. 22 (1894) 8-. 

 on special surfaces. Guldberg, A. N. Ts. 



Mth. 6 (B) (1895) 1-; Fschr. Mth. (1895) 



704-. 

 and spheroidal trigonometry. Grunert, J. A. 



Grunert Arch. 22 (1853) 64-; 40 (1863) 33-. 

 on spiral surfaces, and their differential equa- 

 tions. Hadamard, J. Bordeaux S. Sc. PV. 



(1895-96) 55-. 



any surface. Euler, L. [1779] St Pet. 

 Ac. Sc. N. Acta 15 (1806) 44-. 



surface of centres. Hoppe, R. Arch. Mth. 

 Ps. 63 (1879) 81-. 



surfaces of constant curvature. Liouville, 

 R. Am. J. Mth. 10 (1888) 283-. 



anticlastic curvature. Hadamard, . 



Bordeaux S. Sc. PV. (1896-97) 60-; C. R. 

 124 (1897) 1503-. 



revolution. Jamet, . Brux. Ac. 

 Bll. 13 (1887) 421-. 



. Catalan, E. C. Brux. Ac. Bll. 



13 (1887) 425-; Liege S. Sc. Mm. 15 (1888) 

 #0. 1, 213-. 



, Clairaut's equation. Lorenzoni, 



G. Ven. I. At. 2 (1875-76) 591-. 



, theorem. Emilio, R. d\ 

 Ven. I. At. (1892-93) 1191-. 



between 2 points of generator. 

 Castet, . Bordeaux S. Sc. Mm. 2 (1878) 

 185-. 



, theorem. Lommel, E. Grunert 



Arch. 38 (1862) 201-. 

 system, characteristic of differential equation. 



Liouville, R. C. R. 108 (1889) 495-. 



contained in cyclic systems. Guichard, C. 

 C. R. 128 (1899) 1308-. 



637 



