8440 



Skew Curves (Calculus) 



Curvature 8440 



Transformations, isogonal, curvature in. 



Laisant, C. A. Par. S. Mth. Bll. 15 



(1887) 39-. 

 , laws of curvature in. Transon, A. N. A. 



Mth. 8 (1869) 114-. 

 Vector pedal equation of curve. Nanson, E. J. 



Mess. Mth. 28 (1899) 80-. 



8440 Curvature of skew curves; 

 other applications of the dif- 

 ferential calculus to skew 

 curves. (See also 7240, 8420.) 



Centre of curvature. Hotter, J. Lund. Un. 



Acta 21 (1885-86) (Mth., No. 2) 18 pp. 

 Characteristic differential equation. Hoppe, E. 



Arch. Mth. Ps. 15 (1897) 244-. 

 Cone-loxodrome as osculator of curve. Tesar, 



J. Prag Sb. (1886) (Mth.-Nt.) 347-. 

 Contact and osculation. Pirondini, G. G. 



Teix. J. Sc. 10 (1891) 113-. 

 Contingence angle. Rodrigues, (Dr) . [1813] 



Par. EC. Pol. Cor. 3 (1814-16) 36-. 

 . Terquem, O. N. A. Mth. 4 (1845) 



266-. 

 Coordinates in terms of arc. Mathews, G. B. 



QJ. Mth. 26 (1893) 27-. 

 Correspondence. Daug, H. T. Ups. Arsk. 



(1861) (Mth.) 56 pp. 



Curvature. 



Chelini, D. Palomba Eac. 1 (1845) 105-, 129-, 



140-, 156- ; Tortolini A. 4 (1853) 337-. 

 Spottiswoode, W. Camb. and Dubl. Mth. J. 



9 (1854) 234-. 



Boklen, O. N. A. Mth. 19 (1860) 136-. 

 Greer, H. R. QJ. Mth. 4 (1861) 183-. 

 Routh, E. J. QJ. Mth. 7 (1866) 37-. 

 Constable, E. C. Mess. Mth. 1 (1872) 50. 

 Hart, H. Mess. Mth. 4 (1875) 172-. 

 Stolz, O. Mh. Mth. Ps. 1 (1890) 433-. 

 Zur Hammer, A. Arch. Mth. Ps 15 (1897) 



14-. 

 absolute, radius. Smith, Arch. Camb. Mth. J. 



1 (1839) 92-. 

 , . Ferrers, N. M. QJ. Mth. 2 (1858) 



356. 

 of curve, and locus of centres of osculating 



spheres. Daug, H. T. Stockh. Ofv. 15 



(1858) 1-. 

 curves on spherical surface. Fuss, N. [1807] 



St Pet. Ac. Sc. Mm. 2 (1810) 73-. 

 surface. Beltrami, E. N. A. Mth. 



4 (1865) 258-. 

 . Issoly, P. N. A. Mth. 3 (1884) 



522-. 

 and surfaces. Stuyvaert, M. Brux. Mm. 



Cour. 8, 55 (1896-98) No. 6, 19 pp. 

 , elements. Mangeot, S. Par. EC. 



Norm. A. 10 (1893) 87-. 

 and deformation. Olivier, T. Par. EC. Pol. 



J. cah. 24 (1835) 61-, 252-. 

 of intersection of 2 given surfaces. Binet, 



J. M. P. C. B. 19 (1844) 210-. 



of intersection of 2 quadrics. Tortolini, B. 



(vm) A. Mt. 5 (1863) 305-. 

 kinematic analogy. Hoppe, . D. Nf. Tbl. 



(*1873) 118. 



treatment. Szily, K. Mth. Termt. Ets. 



7 (1889) 140- ; Mth. Nt. B. Ung. 7 (1890) 

 220-. 



law, demonstration. Grunert, J. A. Arch. 



Mth. Ps. 42 (1864) 467-. 

 of orthogonal projections of curve. Catalan, 



E. C. Liege S. Sc. Mm. 15 (1888) No. 1, 



208-. 

 radii, of curve and of its projection, relation. 



Peaucellier, . N. A. Mth. 20 (1861) 427-. 

 radius. Bammert, (Dr) . Z. Mth. Ps. 10 



(1865) 163-. 



. Hermite, C. N. A. Mth. 5 (1866) 297-. 

 , of helicoidal curves on developable surfaces. 



Resal, H. A. [1856] (xii) Doubs S. Mm. 



8 (1857) 100-. 



, and osculating circle, determination. 



Fuss, N. [1810] St Pet. Ac. Sc. Mm. 6 



(1818) 66-. 

 , of projection of curve. Caron, J. N. A. 



Mth. 14 (1895) 138-. 



=f(s), resulting differential equation. 

 Goursat, E. Toul. Fac. Sc. A. 1 (1887) C, 

 26pp. 



at singular points. Wolffing, E. Arch. Mth. 



Ps. 15 (1897) 146-. 

 spherical. Sobotka, J. Wien Ak. Sb. 104 



(1895) (Ab. 2a) 144-. 

 , special kind. Grunert, J. A. Grunert 



Arch. 25 (1855) 301-. 

 systems of curves. Lilienthal, R. von. Mth. 



A. 32 (1888) 545- ; 38 (1891) 429-. 

 and torsion. Hoppe, R. Arch. Mth. Ps. 15 



(1897) 124-. 

 in collineation and reciprocity. Servais, 



C. Brux. Mm. Cour. 8, 58 (1898-99) No. 2, 



48pp. 



, determination of curves by relation 

 between. Hoppe, R. Arch. Mth. Ps. 65 

 (1880) 287-. 



, , Goursat' s reduction 



of problem. Hoppe, R. Arch. Mth. Ps. 9 



(1890) 43-. 

 , properties connected with. Ramorino, A. 



Tor. Ac. Sc. At. 32 (1896) 331- or 471-. 

 , radii, and spherical indicatrix. Paulli, 



H. (xii) Ts. Mth. 5 (1881) 86-. 

 1 representation of curves by. Hoppe, R. 



Crelle J. 60 (1862) 182- ; 63 (1864) 122-. 

 total, and torsion of two curves, relations 



between. Rouquet, . Toul. Ac. Sc. Bll. 



1 (1898) 39-. 



Curves. 

 Lancret, M. A. [1802] Par. Mm. Sav. Etr. 



1 (1806) 416-. 

 Barre de Sainj-Venant, . C. E. 19 (1844) 



547-; Par. EC. Pol. J. 18 (1845) 1-. 

 Trenet, F. [1847] Liouv. J. Mth. 17 (1852) 



437-. 

 Enneper, A. Gott. Nr. (1866) 134- ; Z. Mth. 



Ps. 12 (1867) 510-. 

 Bianchi, L. G. Mt. 21 (1883) 222-. 

 Pirondini, G. G. Mt. 26 (1888) 104-. 



607 



