8440 Curves 



Skew Curves (Calculus) 



8440 



algebraic, as evolutes. Stdckel, P. Mth. A. 



45 (1894) 341-. 

 apparent singularities, when projected from 



arbitrary point. Kneser, A. Mth. A. 34 



(1889) 204-. 

 barycentric properties, use of intrinsic equation. 



Cesdro, E. Ev. Mt. 5 (1895) 90-. 

 Bertrand's. Demartres, G. C. E. 106 (1888) 



1065-. 



. Bioche,C. Par. S. Mth. Bll. 17 (1889) 109-. 

 . Cesdro, E. Ev. Mt. 2 (1892) 153- ; 



Mathesis 14 (1894) 265-. 

 , generalisation. Demoulin, A. C. E. 116 



(1893) 246-. 

 case with one asymptotic point, and its tangent 



surface. Schiffner, F. [1881] Arch. Mth. 



Ps. 67 (1882) 207-. 



given by relation between curvature and 

 torsion angles. Hoppe, E. Arch. Mth. Ps. 

 2 (1885) 417-. 



with known properties as to p and <r, formulae 

 for equations. Daug, H. T. [1878] Ups. 

 S. Sc. N. Acta 10 (1879) (No. 12) 29 pp. 



cases where radii of curvature, plane and 

 spherical, have given relation. Molins, H. 

 Toul. Ac. Sc. Mm. 5 (1883) (Sem. n) 175-. 



p and a- are constant. Puiseux, V. 

 Liouv. J. Mth. 7 (1842) 65-. 



-in constant ratio. Puiseux, 



V. Liouv. J. Mth. 16 (1851) 208-. 



. Zeuthen, H. G. 



(xn) Ts. Mth. 5 (1875) 182-. 



. Molins, H. 



Toul. Ac. Sc. Mm. 6 (Sem. 2) (1884) 155-. 



have algebraic relation. Molins, 



H. Toul. Ac. Sc. Mm. 4 (1892) 1-. 



given relation. Molins, H. 



Liouv. J. Mth. 19 (1874) 425-. 

 linear relation. Molins, H. 



Toul. Ac. Sc. Mm. 6 (1894) 394-. 



pjff is function of arc. Pirondini, G. 

 A. Mt. 19 (1891-92) 213-. 



p, a and s have any relation. Lie, M. S. 



Christiania F. (1882) No. 10, 6 pp. 

 class, and simultaneous differential system. 



Picard, E. C. E. 90 (1880) 976-, 1065-, 



1118-. 

 of constant curvature. Titeica [Tzitzeicd], G. 



[Bucarest S. Sc. Bll. 6 (1897)] 31-. 

 , torsion, total curvature and ratio of 



curvature. Hoppe, E. Arch. Mth. Ps. 11 



(1892) 101-. 

 torsion, Koenigs, G. Toul. Fac. Sc. A. 



1 (1887) E, 1-. 



. Molins, H. Toul. Ac. Sc. Mm. 



5 (1893) 588-. 

 , algebraic. Fouche, M. Paris EC. 



Norm. A. 7 (1890) 335-. 

 , . Fabry, E. Par. EC. Norm. A. 



9 (1892) 177- ; C. E. 114 (1892) 158- ; 123 



(1896) 865-. 

 , spherical. Le Vavasseur, . Toul. 



Ac. Sc. Bll. 1 (1898) 82-. 

 corresponding so that centroid of the one lies 



on chord of the other. Cesdro, E. Ev. Mt. 



2 (1892) 43-. 



determination by relation between p and <r. 

 Steen, A. (xn) Ts. Mth. 5 (1875) 129-. 



and developable surfaces, involutes. Lancret, 



M. [1806] Par. Mm. Sav. Etr. 2 (1811) 1-. 



differential invariants. Halphen, G. H. Par. 



EC. Pol. J. Cah. 47 (1880) 1-. 

 elements, determination. St Germain, A. de. 



N. A. Mth. 12 (1873) 126-, 179-, 207-. 

 and their evolutes. Anisimov, V. [1883] Eec. 

 Mth. (Moscou) 12 (1885) 42-; Fschr. Mth. 

 (1885) 745-. 



having common polar surface, integrals of 

 equations. Aoust, . C. E. 78 (1874) 

 1481- ; A. Mt. 7 (1876) 1-. 

 same principal normals. Fais,A. Bologna 

 Ac. Sc. Mm. 8 (1877) 609- ; 9 (1878) 657-. 



. Nieicengloivski, B. C. E. 85 



(1877) 394-. 



, and surface formed by these nor- 

 mals. Mannheim, A. C. E. 85 (1877) 212-. 

 involutes of given. Eouquet, . Toul. Ac. 



Sc. Bll. 2 (1899) 34-. 

 isophotal, on revolution surfaces, singularities. 



Tesar, J. Prag Sb. (1888) (Mth.-Nt.) 355-. 

 locus of centres of curvature oi curve when 

 unwound on straight line. Aoust, . C. E. 

 88 (1879) 768-. 



with locus of centres of similar osculating 

 ellipsoids given, integrals of equations. 

 Aoust, . C. E. 78 (1874) 1548-. 

 locus of helicoidal instantaneous axis. 

 Demoulin, . Par. S. Mth. Bll. 21 (1893) 8-. 

 maximum and minimum problems connected 

 with. Euler, L. [1779] St Pet. Ac. Sc. 

 Mm. 4 (1813) 18-. 



plane or spherical, considered as envelopes of 

 circles, arcs. Mannheim, A. Liouv. J. Mth. 

 7 (1862) 121-. 

 polar surfaces and evolutes. Christensen, S. A . 



(xn) Ts. Mth. 6 (1882) 17-. 

 principal normals of which make constant 

 angle with each other. Hatzidakis, N. J. 

 Bll. Sc. Mth. 24 (1900) 42-, 190. 

 problem regarding two. Koenigs, G. Am. J. 



Mth. 19 (1897) 259-. 

 properties. Bonnet, O. N. A. Mth. 12 (1853) 



192-. 

 property. Beltrami, E. [1866] G. Mt. 5 



(1867) 21-. 

 (Beltrami). Chelini, D. G. Mt. 5 (1867) 



190-. 



. Jamet, V. C. E. 100 (1885) 1332-. 

 2 ruled surfaces connected with. Pirondini, G. 



G. Mt. 28 (1890) 92-. 

 with spherical involutes. Bobillier, . Ger- 



gonne A. Mth. 18 (1827-28) 57-. 

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

 52 (1900) 1-. 



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



14 (1897) 287-. 

 system, on developable of tangents. Hoppe, E. 



Arch. Mth. Ps. 12 (1894) 354-. 

 and torses, plane and spherical envelopes. 

 Pirondini, G. Bologna Ac. Sc. Mm. 9 (1888) 



Deviation. Transon, (Prof.) A. Par. S. Phlm. 



PV. (1848) 58-. 

 Direction, curvature and tortuosity. Staude, O. 



Dorpat Sb. 11 (1896) 1-. 



608 



