8450 



Applications of Calculus. Surfaces 



8450 



Hyperboloid osculating ruled surface along 

 generator. Duporcq, E. N. A. Mth. 17 

 (1898) 10&-. 



skew surface along generator. Chosles, M. 



Brux. Ac. fill. 5 (1838) 643-. 



touching skew surface along generator. 

 Bruno, G. [1871] Tor. At. Ac. Sc. 7 (1871- 

 72)235-. 



Hyperboloids of one sheet, construction of line 



of striction. Petersen, J. N. Ts. Mth. 10 



(B) (1899) 39-; Fschr. Mth. (1900) 542. 

 Infinitely near surfaces. Maggi, P. G. [1850] 



Yen. Mm. I. 5 (1855) 299-. 

 Jacobian of three surfaces, applications. 



Arzela, C. G. Mt. 9 (1871) 32-. 

 Normal curves and surfaces. Brenner, . 



Grunert Arch. 13 (1849) 225-. 

 Normals. Bedetti, G. [1844] Bologna N. 



Cm. 10 (1849) 523-. 

 . Bertrand, J. Liouv. J. Mth. 9 (1844) 



133-. 

 . Rothig, O. Crelle J. Mth. 85 (1878) 



250-. 

 , adjacent. Joachimsthal, F. Liouv. J. Mth. 



13 (1848) 415-. 



and normal planes of certain curves and 

 surfaces, construction. Schonemann, T. Berl. 

 B. (1855) 255-. 



pedal curves and surfaces. 

 Sturm, JR. [1872] Mth. A. 6 (1873) 241-. 



, proof of Bertrand' s relation. Mannheim, A. 



Liouv. J. Mth. 17 (1872) 403-. 

 , theory. Bertrand, J. Liouv. J. Mth. 12 



(1847) 343-. 

 , 3rd variation. Mayer, A. C. G. Leip. 



Mth. Ps. B. 33 (1881) 28-. 

 Orthogonal trajectories of systems of surfaces. 



Morera, G. Mil. I. Lomb. Ed. 19 (1886) 



282-. 

 Osculation problem. Clebsch, A. Liouv. J. 



Mth. 8 (1863) 297-. 

 Parallel lines and surfaces. Bordmi, A. [1811] 



Mod. Mm. S. It. 16 (1813) 72-. 

 , equations. Bordoni, A. Mil. At. 



I. Lomb. 1 (1858) 209-. 

 Parallelism of curved lines and surfaces. 



Crelle, A. L. Gergonne A. Mth. 12 (1821- 



22) 1-. 

 Plane arid spherical envelopes of curves and 



torses. Pirondini, G. Bologna Ac. Sc. Mm. 



9 (1888) 641-. 



Pseudo-surfaces, extension of Laguerre's formu- 

 la to. Issaly, . Par. S. Mth. Bll. 25 



(1897) 243-. 

 , triple systems. Issaly, (I'abbe) . N. A. 



Mth. 9 (1890) 204-. 

 Quadric cones osculating developable surfaces. 



Whittemore, J. K. [1900] N. Y. Am. Mth. 



S. Bll. 7 (1901) 203, 209. 



Quadrics, equation deduced from a polar re- 

 lation. Jamet, V. Brux. Ac. Bll. 6 (1883) 



885-. 

 Radius of geodesic curvature of a curve S, of 



constant normal curvature, theorem. La- 



guerre, E. C. B. 80 (1875) 822- 

 Reciprocal tangents. Dupin, C. Par. EC. Pol. 



Cor. 3 (1814-16) 138-. 



Ruled helicoid, the most general. Ocagne, M. 



d'. Par. S. Mth. Bll. 23 (1895) 114-. 

 Solid angle subtended by quadric at point. 



Beltrami, E. G. Mt. 1 (1863) 68-. 

 Spherical conic, and developable formed by its 



tangents. Huber, G. Z. Mth. Ps. 45 (1900) 



86-. 

 coordinates, transformation. Necker, K. 



As. Nr. 130 (1892) 49-. 

 Sphere-conjugate tangents. Cremona, L. 



Tortolini A. 6 (1855) 382-. 

 Surface envelope of planes cutting rational 



skew curve of 4th degree in 4 concyclic 



points. Sturm, E. [1869] A. Mt. 4 (1870- 



71) 73-. 



j, A. Tortolini A. 2 (1859) 168-. 

 ~ sphere. Monge, G. Par. EC. Pol. J. 



6 (1806) 41-. 

 envelopes of spheres. Eibaucour, A. (xi) 



Par. S. Phlm. Bll. 5 (1868) 30-. , 

 . Lecornu, L. Par. Ee. Pol. J. 



Cah. 53 (1883) 135-. 

 . Jamet, V. Mars. Fac. Sc. A. 



10 (1900) Fasc. 2, 18 pp. 

 - , property. Ribauc 

 67 (1868) 1334-. 



our, A. C. R. 



touching two circles in plane. 



Niemtschik, R. Wien Ak. Sb. 73 (1876) 



(Ab. 2) 7-. 

 , theory, characteristics, etc. Raabe, J. L. 



Crelle J. 15 (1836) 125-. 

 of variable quadric surface, edge of 



regression. Livet, . Par. EC. Pol. Cor. 



1 (1804-08) 422-. 



Surfaces. 



admitting systems of equal and similar lines. 



Pirondini, G. A. Mt. 23 (1895) 93-. 

 algebraic, theory, new invariant in, and re- 

 duction of double integrals. Picard, E. 



C. R. 126 (1898) 297-. 

 capable of generating a Lame! system. Darboux, 



G. C. R. 124 (1897) 1428. 

 . by helicoidal movement, 



two classes. Bianchi, L. Toul. Fac. Sc. A. 



11 (1897) H, 8 pp. 

 screw displacement. 



Petot, A. C. R. 118 (1894) 1409-. 

 2 Lame systems by 2 different move- 

 ments. Medolaghi, P. Rm. R. Ac. Line. 



Rd. 8 (1899) (Sem. 2) 304-. 

 conical and cylindrical, property. Merrifield, 



C. W. Mess. Mth. 1 (1872) 81-. 

 and curves. Scheffers, G. Leip. Mth. Ps. B. 



52 (1900) 1-. 

 , derived. Tortolini, B. Tortolini A. 



2 (1859) 316-. 

 , theory. Pellet, A. Par. EC. Norm. A. 



14 (1897) 287-. 

 thereon, general formulae and special 



cases. Enneper, A. Z. Mth. Ps. 9 (1864) 



96-. 

 cyclic. Enneper, A. Gott. Nr. (1866) 243-; 



Z. Mth. Ps. 14 (1869) 393-. 



619 



