8430 



Plane Curves (Calculus) 



Pedals 8430 



Inverse method of tangents, problems. Fuss, 



P. H. [1822] St Pet. Ac. Sc. Mm. 10 (1826) 



130-. 

 , . Colligrwn, E. N. A. Mth. 18 



(1899) 488-; 19 (1900) 11-. 

 Involute of given curves. Rouquet, V. Toul. 



Fac. Sc. A. 1 (1899) 79-. 

 Involutes. Dienger, J. Grunert Arch. 20 



(1853) 69-. 

 , oblique, any order, integrals. Aoust, . 



C. E. 85 (1877) 609-. 



of point. Cesdro, E. Mathesis 8 (1888) 36-. 

 , problem. Pirondini, G. A. Mt. 17 (1889- 



90) 65-. 

 , successive. Anon, (vi 530) Gergonne A. 



Mth. 9 (1818-19) 73-. 

 , theory. David, C. A. [1862] (xn) Lille 



S. Mm. 9 (1863) 499-. 

 Loci, general equations and applications. 



Callegari, P. Em. At. 7 (1853-54) 179-, 



261-. 

 Macrograph. Morgan, W. B. Franklin I. J. 



48 (1864) 16-. 

 Maximum and minimum properties of curves. 



Sonine, N. J. Fschr. Mth. (1887) 359-. 

 Method of investigating curves, and application 



to evolutes and caustics. Watson, W. Am. 



As. P. (1859) 151-. 

 Multiple points. Droop, H. R. QJ. Mth. 2 



(1858) 149-. 

 Multipolar coordinates, relations. Ghysens, E. 



Brux. Ac. Bll. 45 (1878) 231-. 

 Networks with equal invariants, and their 



asymptotic lines. Koenigs, G. C. E. 114 



(1892) 55-, 728-. 

 Normal and centre of curvature of "radial " of 



curve. Sucharda, A. Prag Ceske Ak. Fr. 



Jos. Ez. (Tfida 2) 6 (1897) Art. 25, 3 pp.; 



Prag Fr. Jos. Ac. Sc. Bll. (Mth.-Nt.) 4 



(1897) (Pt. 2) 100-. 



of curvature. Whitlock, G. C. Silliman J. 

 16 (1853) 231. 



Osculating conies. Amiot, B. Par. S. Phlm. 



PV. (1846) 144-. 

 . Lundberg, E. Ts. Mt. Fys. 4 (1871) 



241-. 



. Enneper, A. Z. Mth. Ps. 19 (1874) 138-. 



. Dewulf, E. Mathesis 10 (1890) 55-. 



. Pirondini, G. G. Teix. J. Sc. 11 

 (1892) 9-. 



of cubics. Durege, H. Prag Sb. (1870) 



(pt. 2) 47-. 

 .' Servais, C. Brux. Ac. Bll. 23 



(1892) 522-. 

 etc., theorem of Steiner. August, 



F. [1867] Crelle J. 68 (1868) 235-. 

 and problem of Carnot's. Minich, S. R. 



Yen. Mm. I. 6 (1856) 111-. 



parabola. Hoppe, R. Arch. Mth. Ps. 12 

 (1894) 168-. 



, construction at any point of curve. 

 Koenigs, G. N. A. Mth. 20 (1881) 11-. 



, given curve. Ocagne, 



M. d'. N. A. Mth. 11 (1892) 326-. 



parabolas and differential functions un- 

 affected by change of axes. Ampere, A. M.. 

 [1803] Par. 6c. Pol. J. 7 (1808) 159-. 



Osculation. Cesdro, E. N. A. Mth. 9 (1890) 



143-. 

 , formula. Busse, F. G. von. Gilbert A. 71 



(1822) 91-. 

 , 5-pointic. Cayley,A. Phil. Trans. (1859) 



371-. 

 Osculations of higher orders. Dupin, C. C. E. 



32 (1851) 569-. 

 Pedal coordinates. Purkiss, H. J. [1865] 



Mess. Mth. 3 (1866) 83-. 



Pedals. 



Drobisch, M. W. Leip. B. 9 (1857) 49-. 

 Bacaloglo, E. Grunert Arch. 35 (1860) 41-. 

 Cayley, A. (vii) Ph. Mg. 26 (1863) 20-. 

 Albrich, (Prof.) C. Arch. Mth. Ps. 52 (1871) 



56-. 

 Juel, C. S. (xn) Ts. Mth. 3 (1873) 177- ; 4 



(1874) 9-. 

 Reuschle, C. (jun.) Z. Mth. Ps. 21 (1876) 



139-. 



Hicks, W. M. Mess. Mth. 6 (1877) 94-. 

 Johnson, W. W. Des Moines Anal. 4 (1877) 



143-. 



Laisant, C. A. As. Fr. C. E. (1882) 104-. 

 Weinmeister, J. P. Z. Mth. Ps. 28 (1883) 256. 

 Ruffini, F. P. Bologna Ac. Sc. Mm. 2 (1891) 



123-. 



Petrini, H. Stockh. Ofv. (1893) 613-. 

 and anti-pedals. Azzarelli, M. Em. N. Line. 



At. 27 (1874) 127-. 

 of circle. Richter, 0. Z. Mth. Ps. 34 (1889) 



338-. 



conies. Wolf, R. Crelle J. 20 (1840) 88-. 

 . Schiltte, . Grunert Arch. 20 (1853) 



175-. 

 . Roberts, S. [1870] L. Mth. S. P. 3 



(1869-71) 88-. 

 construction of circle of curvature. Weyr, E. 



Wien Sb. 59 (1869) (Ab. 2) 169-. 

 and director curves. Raabe, J. L. Crelle J. 50 



(1855) 189-. 



, relations to original curve and solu- 

 tions by singular integrals. Raabe, J. L. 



Crelle J. 48 (1854) 105-. 

 of ellipse. Jefabek, V. Mathesis 16 (1896) 



15. 

 , determination of real foci and of vector 



equation. Wolstenholme, (Rev.) J. L. Mth. 



S. P. 13 (1881-82) 70-. 

 and hyperbola, curvature and evolute. 



Tortolini, B. Palomba Eac. 1 (1845) 278-. 

 equations and properties. Tortolini, B. Pa- 

 lomba Eac. 3 (1847) 305-. 

 first, curvature, and polar reciprocal of curve. 



Servais, C. Mathesis 11 (1891) 84-. 

 of hyperbola, construction of arcs with rectifi- 



able difference. Wiegers, C. Schlomilch Z. 



3 (1858) 308-. 

 inverse. Dieu, T. N. A. Mth. 13 (1854) 



259-. 

 law of formation, generalisation. Janisch, E. 



Arch. Mth. Ps. 8 (1890) 171- ; 9 (1890) vii. 

 of logarithmic spiral. Amato, V. G. Mt. 38 



(1900) 149-. 

 negative. Tortolini, B. N. A. Mth. 5 (1846) 



365-. 



604 



