7630 



Special Plane Algebraic Curves. Cartesians 



7630 



Transversal, cotangent, theorem. Hunyody, 

 E. von. [1865] Z. Mth. Ps. 11 (1866) 77-. 



directions corresponding to axes of conies. 

 Steplianos, G. Par. S. Mth. Bll. 9 (1881) 49-. 



theory for plane curves. Gundelfinger, S. 

 Z. Mth. Ps. 19 (1874) 68-. 



Transversals. Steiner, J. Berl. B. (1851) 



302- ; Crelle J. 47 (1854) 7-. 

 Triangle, generalised form of analytical. Story, 



W. E. [1879] (xn) J. H. Un. Cir. [1] (1882) 



34. 



Triangles, 2, circumscribing conic, theorem ex- 

 tended to j^gons. Dixon, A. G. QJ. Mth. 



26 (1893) 212-. 

 Undulations of curves C^. Binder, W. Wien 



Ak. Sb. 106 (1897) (Ab. 2a) 295-; 107 (1898) 



(Ab. 2a) 23-. 

 (in, n) homographies, and double elements. 



Weyr, Em. Prag Sb. (1869) (pt. 2) 33-. 



7630 Special plane algebraic 

 curves. (See also 8030.) 



Wesely, J. Arch. Mth. Ps. 9 (1890) 420-. 

 Aberrancy curve of plane cubic. Mukho- 



padhyay, A. Beng. As. S. J. 59 (Pt. 2) 



(1891) 61-. 

 Anallagmatic curves. Darboux, G. Par. EC. 



Norm. A. 4 (1867) 81-. 

 . Picquet, H. As. Fr. C. E. (1878) 95- ; 



C. R. 87 (1878) 460-. 

 . Laquiere, E. M. As. Fr. C. R. (1880) 



121-. 

 Aplanatic lines. Chasles, M. Quetelet Cor. 



Mth. 5 (1829) 116-, 188-. 

 , etc. Quetelet, L. A. J. Quetelet Cor. 



Mth. 5 (1829) 190-. 

 Araneids, division of angles by. Heymann, W. 



Z. Mth. Ps. 44 (1899) 263-. 

 Astroids derived from conies. Ameseder, A. 



Arch. Mth. Ps. 64 (1879) 177-. 

 " Atriphthaloid," r 2 (r - h) + fc 2 see* u = 0. 



Townsend, (Rev.) R. [1882] Ir. Ac. P. 4 



(*1884-88) 62-. 

 Ballistic quatrefoil, (x* + y 2 ) 3 =c 2 x' 2 y*. Horta, 



F. Lisb. A. 1 (1857) 525-. 

 Barycentrides, locus of centroid of variable arc 



of curve. Borgnet, . Rouen Ac. Tr. (1839) 



113-. 

 Cardioid. .Purkiss, H. J. (v) Mess. Mth. 2 



(1864) 241-. 



. Laguerre, E. N. A. Mth. 17 (1878) 55-. 

 . Weill, M. N. A. Mth. 20 (1881) 160-. 

 , connection between pole and centroid of 



triangle of contact. Zahradnik, K. Prag 



Sb. (1877) 188-. 

 , generation by 2 unequal circles. Brandli, H. 



Bern Mt. (1858) 68-. 

 , involutory angular relations. Weyr, Em. 



Prag Sb. (1871) (pt. 2) 69-. 

 , locus of intersection of perpendicular tan- 

 gents. Wolstenholme, J. L. Mth. S. P. 4 



(1871-73) 327-. 

 and Maclaurin's trisectrix, relation between. 



Longchamps, G. de. Prag Sb. (1887) (Mth.- 



Nt.) 601-. 



Cardioid, and its mechanical construction. 



Pleyl, J. Arch. Mth. Ps. 68 (1882) 166-. 

 , metrical property. Weyr, Em. Mil. I. 



Lomb. Rd. 5 (1872) 204-. 

 , pole of constant triangle of contact. 



Zahradnik, K. Prag Sb. (1877) 184-. 

 , relation to ellipse. Jopling, J. R. S. P. 6 



(1852) 267-. 

 , theory. Zahradnik, K. Prag Sb. (1874) 



180- ; Arch. Mth. Ps. 59 (1876) 337-. 



Cartesian ovals. 



Genocchi, A. N. A. Mth. 14 (1855) 202-, 260-. 



Cayley, A. QJ. Mth. 1 (1857) 320-. 



Strebor [Roberts, W.]. N. A. Mth. 17 (1858) 



234-. 

 Roberts, S. [1870] L. Mth. S. P. 3 (1869-71) 



106-. 

 Tait, P. G. [1871] Edinb. R. S. P. 7 (1872) 



434-. 



Cayley, A. QJ. Mth. 12 (1873) 16-. 

 Haentzschel, E. Arch. Mth. Ps. 69 (1883) 395-. 

 Dixon, A. C. QJ. Mth. 28 (1896) 375-. 

 bibliography. Liguine, V. Bll. Sc. Mth. As. 



6 (1882) (Pt. 1) 40-. 

 bipolar equations. Johnson, W. W. Des 



Moines Anal. 2 (1875) 106-. 

 confocal, correspondence with right lines of 



hyperboloid. Cayley, A. Mess. Mth. 18 



(1889) 128-. 



construction. Cayley, A. QJ. Mth. 15 (1878) 34. 

 generation, Chasles's method. Ocagne, M. d'. 



C. R. 97 (1883) 1424-. 

 and hyperboloid of one sheet. Fries, J. de. 



Amst. Ak. Vs. 4 (1896) 252-; Fschr. Mth. 



(1896) 491. 

 with 2 imaginary axial foci. Cayley, A. [1870] 



L.Mth. S. P. 3 (1869-71) 181-. 

 mechanical description. Cayley, A. L. Mth. 



S. P. 6 (1875) 81- ; QJ. Mth. 13 (1875) 328-. 

 . Hammond, J. Am. J. Mth. 1 (1878) 



283. 

 by string. Zeuthen,H. G. (xn) Ts.Mth. 



6 (1882) 145-. 

 and other focal curves, mechanical description. 



Maxwell, J. C. [1846] Edinb. R. S. P. 2 



(1851) 89-. 

 quartics, conjugate functions. Greenhill, 



A. G. [1881] Camb. Ph. S. P. 4 (1883) 77-. 

 properties. Crofton, M. W. L. Mth. S. P. 1 



(1866) M. 6, 5-. 

 regarded as conic intersections. Merrifield, 



C. W. Mess. Mth. 4 (1875) 148. 

 projected intersections of quadric surfaces. 



Merrifield, C. W. Mess. Mth. 3 (1874) 141-. 

 and related curves as sections of the anchor- 

 ring. Brown, W. V. A. Mth. 6 (1891-92) 



161-. 

 system through 4 points on circle. Roberts, 



R. A. L. Mth. S. P. 12 (1880-81) 200-. 

 triple focus. Engberg, C. C. [1898] A. Mth. 



12 (1898-99) 54-. 



Cassini's oval. Zeuthen, H. G. Mth. Ts. 5 



(1863) 157-. 

 . Cayley, A. Mess. Mth. 4 (1875) 187-. 



530 



