8440 



Skew Curves (Calculus) 



8440 



Distance from point of curve to osculating 



sphere at neighbouring point. Lecornu, L. 



C. E. 100 (1885) 1207-. 

 Envelopes. Collet, J. Liouv. J. Mth. 9 (1883) 



257-. 

 Equation of curve such that p subtends constant 



angle from given point. Lecocq, H. N. A. 



Mth. 19 (1860) 285-. 

 Evolutes. Weyr, E. Wien Sb. 62 (1870) (Ab. 



2) 804-. 



. Adam, P. N. A. Mth. 10 (1891) 142-. 

 . Biermann, 0. Mh. Mth. Ps. 11 (1900) 59-. 

 , equations in form of integrals. Molins, H. 



Liouv. J. Mth. 8 (1843) 379-. 

 , polar developable. Anissimow, W. A. 



Fschr. Mth. (1898) 517. 

 Family of skew curves, and lines of contact. 



Andrade, J. C. E. 122 (1896) 1110-. 

 Formulae. Gilbert, P. C. E. 101 (1885) 52. 

 , 3. Hatzidakis, N. I. C. E. 128 (1899) 



923-; Bll. Sc. Mth. 23 (1899) 118-. 

 , and application to helix and curves on 



sphere. Serret, J. A. Liouv. J. Mth. 16 



(1851) 193-. 

 , Frenet's. Hermite, C. G. Teix. J. Sc. 



1 (1878) 65-. 

 , . Mannheim, . Par. S. Mth. Bll. 



25 (1897) 4-. 

 , Frenet- Serret, and the analytic distinction 



of right- and left-handed curves. Kneser, A. 



Crelle J. Mth. 113 (1894) 89-. 

 , Molins's. Fais, A. G. Mt. 14 (1876) 219-. 

 ,Serret's. Weyr,E. Mh.Mth.Ps.5(1894)346-. 

 Hyperosculating spheres of cubic. Sobotka, J. 



Mh. Mth. Ps. 5 (1894) 349-. 

 Intrinsic equation. Hoppe, . D. Nf. Tbl. 



(*1874) 175-. 



geometry. Cesdro, E. Nap. Ac. At. 6 

 (1894) No. 17, 9 pp. 



Involute and evolute in space. De Morgan, A. 



Camb. and Dubl. Mth. J. 6 (1851) 267-. 

 Line at angle a. with principal normal, locus. 



Cesdro, E. N. A. Mth. 7 (1888) 147-. 

 Locus of centres of curvature. Molins, H. 



Toul. A. Sc. Mm. 10 (1888) 400- ; 1 (1889) 



474-, 485. 

 Molins's problem, radius of osculating sphere 



f(p), to find curve. Hoppe, R. Arch. 



Mth. Ps. 2 (1885) 269-. 

 Motion of point and geometry of curve, analogy. 



Nicolaides, N. Les Mondes 9 (1866) 290-, 



415-, 596-. 



rectangular trihedron at each point. 

 Demoulin, . Par. S. Mth. Bll. 20 (1892) 43-. 



Normal, principal, condition that variable 



straight line should be. Hoppe, R. Arch. 



Mth. Ps. 63 (1879) 369-. 

 Normals. Pellet, A. E. C. E. 104 (1887) 1501-. 

 , double, of rational curve, number. Weyr, 



E. Crelle J. 74 (1872) 279-. 

 , principal. Serret, J. A. Liouv. J. Mth. 



16 (1851) 499-. 

 , , of 2 curves, conditions. Serret, J. A. 



C. E. 85 (1877) 307-. 

 , , surface of, use of its representative 



curve. Mannheim, A. C. E. 86(1878) 1254-. 



of rational curves. Weyr, E. [1871] Crelle 

 J. 74 (1872) 277-. 



Osculating circle. Gourieff, S. St P^t. Mm. 



Ac. Sc. 2 (1807-08) 130-. 

 , determination. Hunyady, E. ["J.I von. 



N. A. Mth. 20 (1881) 53-. 

 at any point on curve. Poncelet, J. V. 



Gergonne A. Mth. 15 (1824-25) 245-. 



cone. Voizot, . Liouv. J. Mth. 15 (1850) 

 481- ; 17 (1852) 253-. 



helix. Ruchonnet, C. N. A. Mth. 10 (1871) 

 444-. 



, etc. Laurent, H. Par. EC. Norm. A. 



1 (1872) 219-. 

 . Cesdro, E. Mathesis 5 (1885) 32-. 



lines of cubic. Timerding, H. E. A. Mt. 

 4 (1900) 199-. 



plane and centre of curvature. Dupin, C. 

 Gergonne A. Mth. 7 (1816-17) 18-. 



, equation. Studnicka, F. J. Prag Sb. 



(1878) 87-. 



at intersection of 2 confocal surfaces. 



Housel, . N. A. Mth. 2 (1863) 400-. 



surfaces, anhannonic pro- 

 perty. Imshenetsky, V. G. (x) Liege S. 

 Sc. Mm. 5 (1873) (No. 7) 5 pp. 



, proof that, if it goes through fixed point, 



curve is plane. Mylord, H. (xn) Ts. Mth. 



1 (1871) 126-. 



and sphere. Saltel, L. Par. S. Mth. 



Bll. 2 (1874) 64. 



planes. Schoute, . As. Fr. C. E. (1890) 

 (Pt. 2) 191-. 



and radii of curvature of intersection of 



2 surfaces. Hachette, J. N. P. Gergonne 

 A. Mth. 7 (1816-17) 24-. 



at multiple point. Painvin, L. 



C. E. 68 (1869) 796-; A. Mt. 4 (1870-71) 281-. 



, synthetic investigations, Kneser, A. 

 Mth. A. 31 (1888) 507-. 



sphere, distance of curve from. Buchonnet, 

 C. N. A. Mth. 9 (1870) 457-. 



at point of intersection curve of 2 sur- 

 faces, construction. Mannheim, A. Par. S 

 Mth. Bll. 2 (1874) 140; C. E. 83 (1876) 1040-. 



and spherical torsion. Schell, W. 

 Grunert Arch. 19 (1852) 393-. 



spheres. Fuss, N. [1806] St P6t. Ac. Sc. 

 Mm. 7 (1820) 61-. 



of 2 curves with same principal normals, 



geometrical relation between. Mannheim, A. 



L. Mth. S. P. 16 (1884-85) 273-. 

 , theory. Jamet, V. Toul. Fac. Sc. A. 



4 (1890) F, 8 pp. 



Pedals. Weyr, E. Prag Sb. (1871) 3-. 

 Perimorphy and Codazzi's formulas. Balitrand, 



. Par. S. Mth. Bll. 22 (1894) 97-. 

 Projection, dependence of stationary elements 



on those of curve. Wiener, L. C. Z. Mth. 



Ps. 25 (1880) 95-. } 



' ' Eectifying ' ' straight line, properties. Ruchon- 

 net, C. N. A. Mth. 12 (1873) 315-. 

 Euled surfaces generated by instantaneous 



rotation axis of trihedron. Rouquet, V. 



Toul. Fac. Sc. A. 2 (1900) 71-. 

 Skew spirals. Horn, W. Crelle J. 2 (1827) 70-. 

 Spherical and algebraic helix. Buffone, A. 



G. Mt. 34 (1896) 152-. 



indicatrices. Pirondini,G. Ev. Mt. 3 (1893) 

 27-. 



VOL. I. 



609 



