8430 



Applications of Calculus to Plane Curves 



8430 



and their evolutes, ratio of curvatures. Ruffini, 



F. P. Bologna Ac. Sc. Mm. 6 (1884) 



71ft-, 

 families, remarkable. Cesdro, E. N. A. Mth. 



7 (1888) 171- ; 19 (1900) 489-. 

 family denned by algebraic differential equation 



of 1st order. Fouret, G. C. B. 86 (1878) 



586-. 



represented by differential equation. 

 Amigues, E. As. Fr. C. B. 8 (1879) 117-. 



generalisation of Graves' theorem on confocal 



conies. Zehfuss, G. Schlomilch Z. 5 (1860) 



210-. 

 given by tangential equation, curvature. Pain- 



vin, L. Bll. Sc. Mth. As. 3 (1872) 174-. 

 having given relation between arc and area in 



polar coordinates. Collignon, E. As. Fr. C. 



E. 11 (1882) 69-. 

 at infinity, curvature. Torroja, E. Fschr. 



Mth. (1893-94) 1077-. 

 intrinsic equation, and application. Whewell, 



W. Camb. Ph. S. T. 8 (1849) 659- ; 9 (1856) 



150-. 



equations. Gergonne, J. D. Gergonne A. 

 Mth. 4 (1813-14) 42-. 



Lame's, curvature. Fouret, G. C. B. 110 



(1890) 843-. 

 limiting, of given manifoldness of curves. 



Ascoli, G. Bm. E. Ac. Line. Mm. 18 (1883) 



521-. 

 maximum and minimum inclinations to radius 



vector. Exner, K. Wien Sb. 57 (1868) (Ab. 



2) 75-. 

 2, meeting tangents of 3rd at related angles, 



curvature. Habich, E. Par. S. Mth. Bll. 



13 (1885) 201-. 

 neighbouring, 2, order of approach between 



finite limits. Leaute, H. C. E. 86 (1878) 



1537-. 

 orthogonal, curvature, theory. Eeecli, F. Par. 



EC. Pol. J. Cah. 41 (1865) 201-. 

 orthotomic, of system of lines in plane. Cayley, 



A. Mess. Mth. 22 (1893) 45-. 

 osculating. Wolstenholme, J. QJ. Mth. 11 



(1871) 210-. 

 . Pirondini, G. G. Mt. 26 (1888) 257-, 



380. 

 , applications of linear quasi-inversion to. 



Servais, C. Mathesis 8 (1888) 28-. 

 , of triply infinite system. Krey, H. [1875] 



Mth. A. 10 (1876) 221-. 

 parabolic and other, curvatures. Machovec, F. 



Prag Sb. (1892) (Mth.-Nt.) 77-. 

 parallel. Peter sen, J. P. C. (xn) Ts. Mth. 1 



(1871) 154-. 

 , theorems embracing those relating to. 



Steiner, J. Crelle J. 32 (1846) 75-. 

 , theory. Hoppe, E. Crelle J. 55 (1858) 



95-. 

 , . Cantor, M. Schlomilch Z. 5 (1860) 



219-. 



' ' periplegmatic ' ' , given by y ~-^ = - X. Gylden , 



H. Stockh. Ofv. (1892) 69-. 

 polar reciprocal, and radius of curvature. Hir- 

 man, G. N. Vars. S. Nt. Tr. (1891-92) (C. 

 R., Ps. C.) No. 8, 6. 



of "raccordement," bicircular for 2 straight 



lines. Fontes, . Toul. Ac. Sc. Mm. 4 



(1892) 375-. 

 -- , with 3 centres. Fichera, F. Catania 



Ac. Gioen. At. 20 (1888) 323-. 

 , several centres. Du Hays, . 



Liouv. J. Mth. 15 (1850) 241-. 

 -- , --- . Revellat, J. P. C. B. 77 



(1873) 434-. 

 -- , cubic parabola for easing. Merfield, C. J. 



N. S. W. B. S. J. 29 (1895) 51-. 

 -- , -- as transition curve. Merfield, C. J. 



N. S. W. E. S. J. 31 (1897) Ivi (bis)-. 

 -- for junctions. Brianchon, C. J. Par. 



EC. Pol. J. 19" cah. (1813) 187-. 

 -- , lemniscate for junctions. Oostinjer, H. 



Brux. A. Tr. Pbl. 4 (1899) 335-. 

 -- , method of easing. Shellshear, W. N. 



S. W. B. S. J. 22 (1889) 89-. 

 -- , parabolic. Verdugo, J. A. Santiago de 



Chile Un. A. 55 (*1879) 123-. 

 -- , curves for junction of 2 circular arcs. 



Bernis, . As. Fr. C. B. (1892) (Pt. 2) 212-. 

 -- , --- junctions. Mene trier, L. S. 



(vm) A. Cond. Pon. Chauss. 3 (1859) 14-. 

 rectifiable, deduction of equation. Azzarelli, 



M. [1877] Em. N. Line. At. 31 (1878) 6-. 

 with relation of 2nd degree between arc and 



coordinates. Hoppe, R. [1862] Crelle J. 



62 (1863) 193-. 



representing integral of w 2 + ( ~ e J 2 = w 2 , property. 



Hirst, T. A. Liouv. J. Mth. 2 (1857) 392. 

 rhizic (i.e. fulfilling condition 



Rankine, W. J. M. B. S. P. 15 (1867) 468-. 



. Walton, W. QJ. Mth. 11 (1871) 91-. 



, curvature at multiple points. Walton, W. 

 QJ. Mth. 11 (1871) 274-. 



, spoke asymptotes. Walton, W. [1870] 

 QJ. Mth. 11 (1871) 200-. 



satisfying certain condition of maximum or 



minimum, common properties. Vicaire, E. 



C. E. 106 (1888) 456-. 

 scale increasing or diminishing indefinitely. 



Swellengrebel, J. G. H. Grunert Arch. 16 



(1851) 419-. 

 with similar evolutes. Ettingshausen, A. von. 



Baumgartner Z. 9 (1831) 178-. 



. Tucker, R. Mess. Mth. 3 (1866) 191-. 

 and straight lines, agreement. Franci&re, . 



A. Cond. Pon. Chauss. 17 (1873) 137-. 



surfaces, curvature, and point-transforma- 

 tions. Mehmke, R. Z. Mth. Ps. 36 (1891) 

 206-. 



symmetric, and images. Longchamps, G. de. 



N. A. Mth. 18 (1899) 373-. 

 systems, differential equations appertaining to. 



Czuber, E. Wien Ak. Sb. 102 (1893) (Ab. 2a) 



1141-. 

 tangential, of conies. Hochheim, A. [1869] 



Z. Mth. Ps. 15 (1870) 377-. 

 tangents, lines cutting at constant angle. 



Boklen, 0. Arch. Mth. Ps. 43 (1865) 14-. 



, theorems. Marchesano, S. Tortolini A. 

 4 (1853) 161-. 



theory. Jdinek, C. Wien SB. (1849) (Ab. 2) 19-. 



601 



