8430 Curves 



Envelopes 



Evolutes 8430 



triangular, and symmetric tetrahedral curves, 

 curvature. Fouret, G. Par. S. Mth. Bll. 20 

 (1892) 60-. 



s =f ( ~ j , construction. Plana, G. Mod. Mm. 



S. It. 16 (1813) 361-. 

 r =a m cosm0. Allegret, [A.~\ N. A. Mth. 11 



(1872) 162-. 

 r m cosm6 = a m . Bassani, A. G. Mt. 24 (1886) 



23-. 



I [(pla) n - l]~*dp, 



and its evolute. Cesdro, 



E. Fschr. Mth. (1892) 708. 

 y= derived from y=f(x). Azzarelli, M. 



Em. N. Line. At. 46 (1893) 186-. 



Curvilinear angles. Miguel, A. Liouv. J. Mth. 



9 (1844) 20-; 10 (1845) 347-; 11 (1846) 65-. 

 "Curvital" functions, 



sin (y, x)=y- I ydx* + I ydx 4 etc. 



Gavarni, . C. B. 60 (1865) 1079-. 

 Diameters, tangents at points on. Serret, P. 



C. E. 82 (1876) 67-. 

 Differential equation L (xdy - ydx) - Mdy + 



M2z = 0(p=l,r=l). Fouret, G. C. B. 78 



(1874) 1693-. 



Direction of curvature in polar coordinates. 

 Schulten, N. G. of. [1843] (vm) Helsingf. 

 Acta 6 (1861) 43-. 



Dual curvature and duals of evolutes and in- 

 volutes. Je/ery, H. M. [1869] QJ. Mth. 



10 (1870) 321-. 



Envelopes. 



Fergola, E. Mod. S. It. Mm. 24 (1850) 290-. 

 Cayley, A. Mess. Mth. 1 (1872) 3-. 

 Veeehio, A. G. Mt. 11 (1873) 318-. 

 Brunei, . Bordeaux S. Sc. Mm. 4 (1888) xi. 

 Aoust's problem. Hoppe, JR. Arch. Mth. Ps. 



66 (1881) 386-. 

 of carried curves, Savary's theorem. Resal, 



H. A. N. A. Mth. 1 (1882) 7-. 

 case. Walton, W. [1867] QJ. Mth. 9 (1868) 



142-. 



. Tognoli, 0. G. Mt. 11 (1873) 376-. 

 . Fais, A. G. Mt. 12 (1874) 150-. 

 . Baehr,G.F.W. N. A. Mth. 20 (1881) 250- . 

 , special. Gilbert, . Brux. S. Sc. A. 15 



(1891) (Pt.,1) 37-. 

 of circles. Eibaucour, A. (xi) Par. S. 



Phlm. Bll. 4 (1867) 88-; ,5 (1868) 30-. 

 decomposition. Saltel, L. '[1881] Bordeaux 



S. Sc. Mm. 4 (1882) 443-. 

 determination of class. Oiasles, M. C. B. 81 



(1875) 757-. 



c-discriminant as. Macdonald, J. A. Edinb. 

 B. S. T. 39 (1900) 27-. 



imaginary, of conjugates of plane locus. 

 Marie, M. C. B. 75 (1872) 7-. 



Lagrange's methods. Flauti, V. [1848] Mod. 

 S. It. Mm. 24 (1850) 251-. 



of line with ends on 2 straight lines, con- 

 sequences. Terquem, O. N. A. Mth. 3 

 (1844) 182-. 



of line with 2 fixed lines cutting off constant 



intercept. Gomes Teixeira, F. Fschr. Mth. 



(1899) 530. 

 normals to, and envelopes with doubly infinite 



set of straight lines as normals. Elliott, 



E. B. [1879] Mess. Mth. 9 (1880) 85-. 

 osculating. Moller, J. Lund. Un. Acta 24 



(1887-88) (Mth., No. 1) 4 pp. 

 of pedal line of triangle. Ferrers, N. M. 



[1866] QJ. Mth. 8 (1867) 209- ; 9 (1868) 



147-. 

 . Besant, W. H. [1868] QJ. 



Mth. 10 (1870) 110-. 



plane series of curves, order. Zimmermann, 

 O. Crelle J. Mth. 116 (1896) 10-. 



polars of curve. Hoppe, E. [1860] Crelle 

 J. 58 (1861) 374-. 



singularities. Henrici, 0. L. Mth. S. P. 2 



(1869) 177-. 

 of straight line. Desmarest, E. N. A. Mth. 3 



(1844) 154-. 

 . SaeeJii, G. N. A. Mth. 2 (1863) 



31-. 

 . Genese, R. W. QJ. Mth. 13 (1875) 



260-. 

 , application to centre of curvature of 



conies. Mannheim, A. N. A. Mth. 16 



(1857) 322-. 



joining ends of hands of watch. 

 Gilbert, L. P. (xn) Brux. S. Sc. A. 4 

 (1880) (Pt. 2) 159-. 



making equal chords in 2 circles. 

 Taylor, H. M. Mess. Mth. 4 (1875) 163. 



moving with ends on 2 other lines. 



Hyde, E. W. Des Moines Anal. 1 (1874) 60-. 

 such that sum of squares of distances 



of number of points from it is constant. 



Sykora, A. Prag Sb. (1881) 23-. 



lines, cases. Ocagne, M. d'. N. A. 

 Mth. 2 (1883) 252-. 



system of curves. Laisant, C. A. N. A. 

 Mth. 13 (1874) 571-. 



. Bosi, L. G. Mt. 35 (1897) 



120-, 353. 



tangent to 2 variable circles. Terre, E. 

 N. A. Mth. 10 (1851) 340-. 



theorem. Laurent, H. N. A. Mth. 13 (1874) 



273-. 

 theorems. Magnus, L. J. Gergonne A. Mth. 



16 (1825-26) 80-. 

 theory. Petersen, J. P. C. (xn) Ts. Mth. 2 



(1872). 81-. 



. Genese, R. W. Mess. Mth. 7 (1878) 61-. 

 . Cayley, A. Mess. Mth. 7 (1878) 62-. 

 , general, connexion with ^-discriminant of 



differential equation of 1st order. Chrystal, 



G. Edinb. B. S. T. 38 (1897) 803-. 

 , problem. Wagner, C. Arch. Mth. Ps. 56 



(1874) 1-. 



Evolutes. 



Wolfers, J. P. Grunert Arch. 4 (1844) 135-. 

 Dunesme, M. C. B. 35 (1852) 518-. 

 Enneper, A. Schlomilch Z. 7 (1862) 120-. 

 Nicolaides, N. Les Mondes 8 (1865) 621-. 

 Bassani, A. G. Mt. 24 (1886) 371-. 

 Jamet, V. N. A. Mth. 9 (1890) 496-. 



