8450 



Curvilinear Coordinates. Surfaces 



8450 



Orthogonal hyperboloids, families. Van&dek, 

 J. S. Prag Ceske" Ak. Fr. Jos. Rz. (Tflda 2) 

 4 (1895) Art. 28, 4 pp. 



projection on surface of revolution. Piron- 

 dini, G. N. A. Mth. 17 (1898) 246-. 



surfaces. Frenet, F. Lyon Ac. Sc. Mm. 

 3 (1853) 5-. 



trajectories of polhodes. Catalan, E. C. 

 Liege S. Sc. Mm. 15 (1888) No. 1, 57-. 



Parabolic coordinates, and application to para- 

 boloids. Valson, C. A. N. A. Mth. 19 



(1860) 298-. 

 Quadric surfaces, rotational, contour lines. 



Langer, K. Wien Az. 36 (1899) 3. 

 Eadii of curvature of sections. Brioschi, F. 



Tortolini A. 4 (1853) 232-. 

 Surfaces referred to a conjugate azimuthal 



network. Eaffy, L. Par. S. Mth. Bll. 24 



(1896) 51-. 

 with 2 sets of conjugate geodesies. Razzaboni, 



A. Bologna Ed. (1888-89) 66. 

 , and certain unicursal curves on them. 



Lelieuvre, . C. B. Ill (1890) 568-. 

 System, particular, of curvilinear coordinates. 



Habich, E. N. A. Mth. 3 (1884) 353-. 

 Theorem. Issaly, (I'abbe) . Bordeaux S. 



Sc. PV. (1898-99) 38-. 



of Stokes. Webster, A. G. N. Y. Am. Mth. 

 S. Bll. 4 (1898) 438-. 



Theory. Codazzi, D. Tortolini A. 8 (1857) 



129-. 

 . Aoust, (I'abbe) . A. Mt. 6 (1864) 65- ; 



2 (1868-69) 39-, 268 ; 3 (1869-70) 55- ; 5 



(1871-73) 261-. 



. Brioschi, F. A. Mt. 1 (1867-68) 1-. 

 . Padova, E. Em. E. Ac. Line. Ed. 4 



(1888) (Sem. 2) 369-, 454-. 

 , application to integral calculus. Frattini, 



G. G. Mt. 15 (1877) 1-. 



of surfaces, and partial differential equations. 

 Enneper, A. Schlomilch Z. 7 (1862) 1-. 



Trajectories of generators on skew surface. 

 Molins, H. Toul. Ac. Sc. Mm. 7 (1895) 

 421-. 



Transformation of class of differential equa- 

 tions into curvilinear coordinates. Gundel- 

 finger, S. Crelle J. Mth. 85 (1878) 295-. 



Triply conjugate systems. Tzitzeica, . Bll. 

 Sc. Mth. 23 (1899) 330-. 



Use in evaluation of surfaces, masses, etc. 

 Cauchy, A. L. C. E. 16 (1843) 413-. 



OTHEE APPLICATIONS OF THE 

 DIFFERENTIAL CALCULUS TO 

 SUEFACES. 



Analysis applied to geometry. Beltrami, E. 



G. Mt. 2 (1864) 267-, 297-, 331-, 355-; 



3 (1865) 15-, 33-, 82-, 228-, 311-. 

 Angle at which surfaces cut. Morin, P. C. E. 



66 (1868) 741-. 

 Asymptotic lines of surface XYZ = T 3 . Appell, 



P. Arch. Mth. Ps. 61 (1877) 144-. 

 Conchoidal surfaces and conchoids. Minich, 



S. B. Padova Ev. Period. 10 (1862) 135-. 



Conformal representation in configurations of 



three dimensions. Cotton, E. C. E. 125 



(1897) 225-. 

 Contact of conies and surfaces. Darboux, G. 



C. E. 91 (1880) 969-. 

 . Moutard, T. C. E. 91 (1880) 



1055-. 

 curves and surfaces. Collet, J. Liouv. 



J. Mth. 4 (1878) 315-. 

 . Darboux, G. Bll. Sc. Mth. 



As. 4 (1880) 348-. 

 , multiple, of surfaces. Spottiswoode, W. 



[1875] Phil. Trans. 166 (1877) 227-. 

 , 3rd order, of two surfaces. Mannheim, A. 



C. E. 74 (1872) 856-, 928-. 



of quadrics with other surfaces. Spottis- 

 woode, W. (xi) L. Mth. S. P. 5 (1873-74) 

 70-. 



surface of revolution and developable, 

 construction of tangents to curve. Drasch, 

 H. Wien Ak. Sb. 77 (1878) (Ab. 2) 174-. 



Contacts of line and surface, Schubert's method. 



Cayley, A. QJ. Mth. 17 (1881) 244-. 

 Curve arising from illumination of revolution 



quadric. Enneper, A. Gott. Nr. (1868) 174-. 



of 4th degree, bicircular. Cayley, A. Phil. 

 Trans. 167 (1877) 441-. 



Curves drawn from point on surface having 

 contact of nth order, theorem. Mannheim, 

 A. (x) Par. S. Phlm. Bll. 7 (1871) 228-. 



on surfaces, flexion. Demartres, . Par. 

 S. Mth. Bll. 15 (1887) 129-. 



Cyclide, envelope of planes perpendicular to 



radii vectores. Roberts, W. C. E. 53 (1861) 



1118-. 

 Cylinder orthogonal to certain surfaces. Piron- 



dini, G. G. Teix. J. Sc. 13 (1897) 77-. 

 Cylinders circumscribing surfaces of revolution, 



lines of contact and tracing. Nicoli, F. (x) 



Mod. Ac. Sc. Mm. 13 (Pt. 1) (1872) 39-. 

 Developable circumscribed to quadric or cubic. 



Roberts, M. N. A. Mth. 14 (1855) 268-. 

 , sextic, edge of regression. Sucharda, A. 



Prag Sb. (1891) (Mth.-Nt.) 369-. 

 Developoids (envelopes of straight lines meeting 



any curve under a constant angle). Haton 



de la Goupilliere, J. N. Par. S. Mth. Bll. 



5 (1877) 126- ; (xn) Brux. S. Sc. A. 2 (1878) 



(Pt. 2) 1-. 



(Haton de la Goupilliere). Aoust, . C. E. 

 85 (1877) 331-. 



Diagonal curves, crossing two families of curves. 



Breton, P. Isere S. Bll. 25 (1887) 28-. 

 Duals of geodesies and lines of curvature on 



ellipsoid and on its pedal surfaces. Jeff'ery, 



H. M. QJ. Mth. 12 (1873) 322-. 

 Envelope of quadric surface, case. Cayley, A. 



QJ. Mth. 11 (1871) 244-. 

 Evolutes of surfaces, cases. Calf), B. A. Mt. 



21 (1893) 195-. 

 Generating characteristics of curved surfaces. 



Minich, S. R. Yen. I. Mm. 22 (1882) 169-. 

 Geometry of surface of ellipsoid. Clifford, W. K. 



[1872] L. Mth. S. P. 4 (1871-73) 215-. 

 Homography, case in geometry of surfaces. 



Somoff, J. [1862] St Pet. Ac. Sc. Mm. 



5 (1863) No. 9, 22 pp. 



618 



