8450 



Curvilinear Coordinates 



8450 



Boklen, O. Grunert Arch. 34 (1860) 26-. 

 Aoust, L. G. E. 54 (1862) 461-. 

 Combescure, E. G. E. 74 (1872) 1517-. 

 Frattini, G. G. Mt. 10 (1872) 235. 

 Roger, E. A. Mines 5 (1874) 110- ; 7 (1875) 



92-. 

 Darbmtx, G. [1877] Par. EC. Norm. A. 7 



(1878) 101-, 227-, 275-. 

 Mathieu, E. L. Liouv. J. Mth. 8 (1882) 5-. 

 Cayley, A. QJ. Mth. 19 (1883) 1-. 

 Catalan, E. C. Liege S. Sc. Mm. 12 (1885) 



No. 2, 234-, 403. 

 Williamson, B. [1890] Ir. Ac. T. 29 (1887-92) 



515-. 



Coordinates of point in relative motion, ex- 

 pansion, and curvature of orthogonal lines. 



Balitrand, . Par. S. Mth. Bll. 23 (1895) 



26-. 



reducing square of arc to form 

 de t =(U+V)(du* + dv*). Bicci, G. Em. 

 E. Ac. Line. Ed. 2 (1893) (Sem. 1) 73-. 



Curvature and geodesic torsion. Reina, V. 

 Em. E. Ac. Line. Ed. 6 (1890) (Sem. 2) 

 103-, 176. 



of system of plane curves in curvilinear 

 coordinates, extension to 3 dimensions. 

 Harst, A. D. van der. N. Arch. Wisk. 4 

 (1899) 226-. 



Curves referred to any system of coordinates, 



analysis. Aoust, (Vabbe) . Par. EC. 



Norm. A. 6 (1869) 205-. 

 Curvilinear coordinates and curves on surfaces. 



Aoust, (Vabbe) . C. E. 65 (1867) 814-. 

 geodesic lines of isothermic surfaces. 



Salvert, (le vicomte) de. Brux. S. Sc. A. 



10 (1886) (Pt. 2) 293-; 11 (1887) (Pt. 2) 1-. 

 in space and on surfaces. Codazzi, D. 



A. Mt. 1 (1867-68) 293- ; 2 (1868-69) 101-, 



269- ; 4 (1870-71) 10- ; 5 (1871-73) 20ft-. 

 . Chelini, D. Bologna 



Ac. Sc. Mm. 8 (1868) 483-. 



and normal coordinates. Warren, J. W. 

 [1876-77] Camb. Ph. S. T. 12 (1879) 455-, 



Development of surfaces, linear element of 

 which is expressible by homogeneous func- 

 tion. Levy, M. C. E. 87 (1878) 788-. 



Differential parameters. Somigliana, C. Mil. 

 I. Lomb. Ed. 22 (1889) 275-. 



. Knoblauch, J. Crelle J. Mth. Ill 



(1893) 329-. 



. Pennacchietti, G. Catania Ac. Gioen. 



At. 9 (1896) Mem. 1, 11 pp. 



, application to theory of surfaces. 

 Bendixson, I. Stockh. Ofv. (1897) 331-. 



, and curvature of surface expressed in 



curvilinear coordinates. Somoff, J. [1864] 



St Pet. Ac. Sc. Mm. 8 (1865) No. 16, 45 pp. ; 



St Pet. Ac. Sc. Mm. (Rs.) 8 (*1866) (Suppl.) 



No. 4, 66 pp. 

 , theory. Beltrami, E. Bologna Ac. Sc. 



Mm. 8 (1868) 549-; Bologna Ed. (1869) 



55-. 

 Elliptic coordinates. Boklen, 0. Grunert 



Arch. 34 (1860) 308-. 

 . Somov, O. I. St Pet. Ac. Sc. Mm. 



(Rs.) 9 (*1866) 295-. 



Elliptic coordinates. Darboux, G. Bll. Sc. 



Mth. As. 3 (1872) 122-. 

 , application to determination of oblique 



trajectories. Mylord, H. (XH) Ts. Mth. 



1 (1871) 33-, 65-. 

 , development. Jacobi, C. G. J. As. Nr. 



28 (1849) 257-. 



, evaluation of surface of ellipsoid in. 

 Obenrauch, F. J. Arch. Mth. Ps. 12 (1894) 

 155-. 



in plane. Grunert, J. A. Grunert Arch. 



39 (1862) 377-. 



space. Grunert, J. A. Grunert 

 Arch. 39 (1862) 402-. 



of tangents common to two quadrics 

 (Liouville's formula). Roberts, W. Ir. Ac. 

 P. 4 (1850) 288-. 



, transformation of differentials by. 



Gundelfinger, S. [1877] Crelle J. Mth. 85 



(1878) 80-. 

 , rectangular rectilinear coordinates 



into. Somoff, J. St P6t. Ac. Sc. Bll. 10 



(1866) 41-. 

 Equations of motions of heat referred to 



curvilinear coordinates. Thomson, (Sir) W. 



Camb. Mth. J. 4 (1845) 33-. 

 Formulae, analytical. Enneper,A. Schlomilch 



Z. 7 (1862) 75-, 313-, 365-; 8 (1863) 241-. 



on surface and volume integrals, in curvi- 

 linear coordinates. Gilbert, P. Brux. S. Sc. 

 A. 14 (1890) (Pt. 2) 1-. 



Geodesic coordinates, transformation. Ldska, 

 V. Prag Sb. (1894) (Mth.-Nt.) No. 12, 6 pp. 



polar coordinate system, properties, demon- 

 stration. Bonnet, G.O. C.E. 97 (1883)1422-. 



Isometric coordinates on sphere. Enneper, A. 



Z. Mth. Ps. 24 (1879) 256. 

 Lemniscate coordinates. Lommel, E. Z. Mth. 



Ps. 12 (1867) 45-. 

 , nth order. Holzmiiller, F. G. Crelle 



J. Mth. 83 (1877) 38-. 



geometry, etc., deduced by aid of function 

 of complex argument. Holzmiiller, F. G. 

 Z. Mth. Ps. 21 (1876) 325-. 



Lines of zero length on surface as curvilinear 



coordinates. Burnside, W. Mess. Mth. 19 



(1890) 99-. 

 Orthogonal coordinates. Darboux, G. C. E. 



60 (1865) 560-. 

 . Enneper, A. Gott. Nr. (1867) 232-, 



277- ; (1868) 258-, 421- ; (1874) 125-. 

 , application to curvature of curves on 



surfaces. Aleksyeev, N. N. (xn) Eec. Mth. 



(Moscou) 2 (1867) (Pt. 1) 79-. 

 ( equation V'*<t>=0 in. Petrini, H. Ups. 



Arsk. (1890) (Mt. Nt.) iv + 104 pp. 

 , especially for conicoids. Levy, M. [1867] 



Par. EC. Pol. J. Cah. 43 (1870) 157-. 

 1 system belonging to differential equation 



V 2 $ + Wf(xyz)$ = 0. Petrini, H. Stockh. 



Ak. Hndl. Bh. 19 (Afd. 1) (1894) No. 4, 36 pp. 

 ; , new, for problems in heat and 



electricity. Liouville, J. Liouv. J. Mth. 



12 (1847) 265-. 



geodesic coordinates on ellipsoid. Ldska, V. 

 Prag Ceske- Ak. Fr. Jos. Ez. (Tfida 2) 3 (1894) 

 Art. 17, 8 pp. 



617 



