7630 



Special Plane Algebraic Curves 



7630 



Partially dotted curve y = %/x. Hessel, J. F. C. 



Grunert Arch. 14 (1850) 169-. 

 Pedal of circle. Centocroce, M. B. Em. N. 



Line. At. 42 (1889) 203-. 

 ellipse or hyperbola. Eckardt, F. E. Z. 



Mth. Ps. 10 (1865) 332-. 

 , negative. Tortolini, B. Palomba 



Eac. 2 (1846) 89-. 



parabola, foci, and forms of vector equa- 

 tion. Wolstenholme, (Rev.) J. L. Mth. S. 



P. 13 (1881-82) 77-. 

 Pedals of conies. Ameseder, A. Arch. Mth. 



Ps. 64 (1879) 143-, 145-. 

 , central. Roberts, S. N. A. Mth. 10 



(1871) 208-. 

 , negative. Ameseder, A. Arch. Mth. 



Ps. 64 (1879) 170-. 

 Polar curves, harmonic, metrical properties. 



Bretschneider, C. A. Arch. Mth. Ps. 50 



(1869) 475-. 

 -reciprocal of y 2 x = constant. Hochheim, A. 



[1875] Arch. Mth. Ps. 58 (1876) 423-. 

 Polars and asymptotic chords, curves enveloped 



by. Bermann, 0. Grunert Arch. 14 (1850) 



382-; 16 (1851) 179- ; 17 (1851) 241-. 

 Polyzomal curves. Cayley, A. [1867] Edinb. 



E. S. T. 25 (1869) 1-. 



Ruffini, F. P. Bologna Ed. 4 (1900) 

 Brassinne, E. N. A. Mth. 7 (1848) 

 i [de Champ], P. N. A. Mth. 7 (1848) 



Prunoid, P = '^-L-^^ . Barbour, L. G. Des 

 mr 1 



Moines Anal. 7 (1880) 17-. 

 Quadri-quadric curve and elliptic functions. 



Cayley, A. Mth. A. 25 (1885) 152-. 



porism. Matheivs, G. B. QJ. Mth. 30 

 (1899) 16-. 



"Radial" curves, derived from curve and its 



evolute. Tucker, R. [1865] L. Mth. S. P. 



1 (1866) No. 5, 1-. 

 Radical or equal ' ' power ' ' lines and points of 



curves. 



23-. 

 Rosettes. 



209-. 

 . Breti 



369-. 

 Self -polar curves. Berg, F. J. van den. N. 



Arch. Wisk. 19 (1892) 80-; Fschr. Mth. (1892) 



652-. 



. Appell, P. N. A. Mth. 13 (1894) 206-. 



Shadow curve of screw, construction of tangent. 



Chemin, J. N. A. Mth. 5 (1866) 271-. 



Spiral of Perseus y = vJR 2 - (Z + Vx- + c 2 ) 2 , foci. 



Gomes Teixeira, F. Fschr. Mth. (1900) 598-. 

 Stelloids, geometrical properties. Fouret, G. 



C. E. 106 (1888) 342-, 966. 

 Strophoid. Ritt, G. N. A. Mth. 5 (1846) 470-. 

 . Neuberg, J. Mathesis 6 (1886) 219-. 

 . Valdes, E. N. A. Mth. 13 (1894) 243-. 

 , applications. Cazamian, A. N. A. Mth. 



12 (1893) 387-. 



and cissoid. Balitrand, . N. A. Mth. 12 

 (1893) 430-. 



, conchoid of Nicomedes, curve connected 

 with. Jefdbek, V. fiasopis 28 (1899) 122- ; 

 Fschr. Mth. (1899) 528-. 



, curves derived from. Reignier, C. Cherb. 

 S. Sc. Nt. Mm. 26 (1889) 75-. 



Strophoid, properties. Loria. G. Mathesis 18 



(1898) 265-. 

 ,, application. Cazamian, A. N. A. Mth. 



14 (1895) 192-. 



, , and geometric theorems. Maleyx, L. 

 N. A. Mth. 13 (1874) 404-, 468-; 14 (1875) 

 193-, 241-. 



Strophoidal curves of 3rd degree. Lagrange, . 



N. A. Mth. 19 (1900) 66-. 

 Strophoids. Johnson, W. W. Am. J. Mth. 3 



(1880) 320-. 



. Barnes, E. (xn) J. H. Un. Cir. [2] 

 (1883) 145. 



Theorems. Magnus, L. J. Crelle J. 9 (1832) 



135-. 

 Three-bar curve, nodes and foci. Roberts, S. 



QJ. Mth. 15 (1878) 52-. 

 Trajectories, reciprocal. Brunei, . Bordeaux 



S. Sc. Mm. 5 (1890) Ixviii. 

 Triangle, locus of 6th order arising from. 



Rueda, C. J. Fschr. Mth. (1896) 434. 

 Trisectrix, Maclaurin's. Jefdbek, V. Mathesis 



19 (1899) 61-. 



, mechanical description. Fusinieri, A. 

 [1845] Mod. S. It. Mm. 23 (1846) 294-. 



, remarkable. Longchamps, G. de. Mathesis 

 8 (1888) 5-. 



Versiera, visiera and pseudo-versiera, 



x*y = a i (a-y). 

 Loria, G. Bb. Mth. (1897) 7-, 33-. 



or " witch of Agnesi. ' ' Mister, J. Mathesis 

 7 (1887) 5-. 



x*-y 4 = <iayx 2 . Tielemans, C. Louvain A. 



Ac. 9 (1827) pars 2, 92 pp. 

 x 2 y 2 - I* (y 2 + x' 2 - 2xy cos 0) = 0. Bouteiller, E. 



de. N. A. Mth. 6 (1847) 263-. 

 V=M+NX+PX*+QX*, application to cur- 



vature of general curve. Dupin, C. C. E. 



25 (1847) 689-, 769-. 



2 (1860) 101-. 



= (n = 4). Schwering, K. Z. Mth. Ps. 

 21 (1876) 133-. 



= (n ) , and correlative quartics. 

 Roberts, S. QJ. Mth. 15 (1878) 224-. 



= . Roberts, R. A. [1885] Ir. Ac. T. 28 

 (1880-86) 709-. 



r 2 " = A cos 2 e + B sin 2 8 , properties. Tortolini , B . 



A. Mt. 6 (1864) 150-. 

 y = x' 3 + ax 2 + bx + c, properties. Stockly, L. 



Sch. Gs. Vh. 53 (1869) 105- ; Arch. Mth. Ps. 



56 (1874) 180-. 

 y* = a?x*-x 2 y 2 . Azzarelli, M. Em. N. Line. 



At. 28 (1875) 234-. 



f(t&) 

 p= / v construction of tangent, / (is) 



and <f> (uj) being functions of trigonometrical 

 ratios of w. Fouret, G. N. A. Mth. 19 

 (1880) 28-. 



y m + < m _ 2 (x , y) = , properties . Weill , M. N . 

 A. Mth. 20 (1881) 498-. 



Karlinski, F. (xn) Krk. Ak. (Mt.-Prz.) 

 Ez. & Sp. 10 (1883) xi-. 



535 



