7630 



Special Plane Algebraic Curves 



7630 



ares. Chasles, M. C. E. 21 (1845) 199-. 



(Chasles). Roberts, W. Liouv. J. Mth. 10 

 (1845) 451- . 



, division. Tortolini, B. Palomba Rac. 1 



(1845) 17-; Mod. S. It. Mm. 1 (1862) 91-. 

 Cassini's. Wangerin, A. Arch. Mth. Ps. 55 



(1873) 19-. 



chord of contact, construction. Cantor, M. 

 Z. Mth. Ps. 12 (1867) 428-. 



class of curves including. Tortolini, B. Tor- 

 tolini A. 1 (1858) 178-. 



division into 17 parts by ruler and compasses. 

 Kiepert, L. [1872] Crelle J. 75 (1873) 255-, 

 348. 



and elliptic curves of 1st class, geometric 

 theory. Serret, J. A. Liouv. J. Mth. 11 



(1846) 89-. 



hyperbolic. Charpentier, H. N. A. Mth. 4 



(1845) 142-. 



mechanical construction. Haedenkamp, H. 



Grunert Arch. 3 (1843) 400. 

 . Stegmann, F. Grunert Arch. 8 (1846) 



49-. 



property. Fuss, N. [1815] St Pet. Ac. Sc. 

 Mm. 9 (1824) 91-. 



(Fuss). Serret, J. A. Liouv. J. Mth. 9 



(1844) 28. 

 new construction. Schultz, E. Arch. Mth. 



Ps. 12 (1894) 318-. 

 properties. Serret, J. A. Par. S. Phlm. PV. 



(1846) 20-. 



. Hess, W. Z. Mth. Ps. 26 (1881) 143-. 

 , and application to cubic equations, etc. 



Oekinghaus, E. Arch. Mth. Ps. 70 (1884) 



113-. 

 property. Bonnet, 0. Liouv. J. Mth. 9 (1844) 



, generalisation. Roberts, W. Liouv. J. 



Mth. 12 (1847) 41-. 

 17-sided polygon. Clausen, T. As. Nr. 19 



(1842) 243-. 

 tangents, construction. Steiner, J. Crelle J. 



14 (1835) 80-. 

 theorem. Andrt, H. d\ N. A. Mth. 5 (1846) 



331-. 

 theorems. Haan, D. Bierens de. Grunert 



Arch. 11 (1848) 1-. 

 . Weyr, E. J. [1872] (xi) Par. S. Mth. Bll. 



1 (1873) 18-. 

 , proof. Sturm, J. C. F. Gergonne A. 



Mth. 14 (1823-24) 17-. 

 , . Sehou, T. V. Mth. Ts. 4 (1862) 



46-. 



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

 G. G. Mt. 21 (1883) 145-, 



Limacon. 



160-. 

 . Pittarelli, 



173-. 



. Genocchi, A. C. B. 98 (1884) 81-. 

 . Sucharda, A. Arch. Mth. Ps. 4 (1886) 



Line of force, construction for direction. 



Vincent, J. H. [1898] Nt. 59 (1898-99) 32. 

 , . Gray, A. [1898] Nt. 



59 (1898-99) 32. 



Lines of force due to 2 lines or points, con- 

 struction for. Roever, W. H. [1896] St. 



Louis Ac. T. 7 (1894-97) 201-. 

 plane and line or plane and 



point. Roever, W. H. [1896] St. Louis 



Ac. T. 7 (1894-97) 273-. 

 Loci, certain. Piani, D. [1849] Bologna 



Mm. Ac. Sc. 4 (1853) 261-. 

 Locus problem (tj 2 = constant, where t is 



tangent to circle). Tortolini, B. A. Mt. 



6 (1864) 169-. 

 , geometric. Grunert, J. A. Arch. Mth. 



Ps. 47 (1867) 477-. 

 Neoids. Stegmann, F. Grunert Arch. 8 (1846) 



49-. 

 Ovals, class. Stampfer, S. Wien Jb. Pol. I. 



19 (1837) 34-. 

 , construction. Schlomilch, 0. X. Z. Mth. 



Ps. 19 (1874) 263-. 



and ellipses of higher degrees. Burg, A. 

 Wien Jb. Pol. I. 18 (1834) 259-. 



Parabola and circle, curves depending on. 



Masetti, G. Bologna Opusc. Sc. 3 (1819) 



159-. 

 , cubic, mechanical construction. Foucaut, 



G. N. A. Mth. 17 (1858) 274-. 

 , , metrical properties. Schroeter, H. 



Mth. A. 25 (1885) 293-. 

 , , tables for location. Merfield, C. J. N. 



S. W. B. S. J. 34 (1900) 281-. 

 , locus of centres of circles through focus 



touching. Freund,E. Lotos 42 (1894) 160- . 

 Parabolas, cubic, divergent. Cayley,A. [1865] 



QJ. Mth. 9 (1868) 185-. 

 , , , inflexions. Cayley, A. (i) QJ. 



Mth. 6 (1864) 199-. 

 , , , pedal curves. Ruffini, F. P. [1894] 



Bologna Ac. Sc. Mm. 5 (1895-96) 65-. 

 , , theorem. Collignon, E. Par. S. Phlm. 



Bll. 4 (1880) 180-. 



of higher degree. Himstedt, . Arch. 

 Mth. Ps. 8 (1890) 210-, vi ; 9 (1890) vii. 



Parabolic curves, nu = v n , arcs. Talbot, W. H.F. 



B. S. P. 3 (1834) 287-. 

 , e y = x. Gibson, G. A. Edinb. Mth. S. 



P. 14 (1896) 31-. 

 Parallel curves of conies. Roberts, S. QJ. 



Mth. 12 (1873) 58-. 



to ellipse. Catalan, E. C. N. A. Mth. 3 

 (1844) 553-. 



. Grunert, J. A. Grunert Arch. 8 

 (1846) 375-. 



. Cayley, A. Tortolini A. 3 (1860) 



311-. 

 . Fiedler, W. Grunert Arch. 39 (1862) 



19-. 



and cardioid. Riggs, H. C. [1892] Kan. 



Un. Q. 1 (1893) 89-. 

 , mechanical description and parallel motion 



deduced therefrom. Hart, H. Mess. Mth. 



5 (1876) 35-. 

 , Poncelet polygons. Morley, F. [1897] 



L. Mth. S. P. 29 (1898) 83-. 



, and application to Diaphantine equa- 

 tion a: 3 + y 3 + z s = M 2 . Catalan, E.G. Brux. 

 Ac. Bll. 22 (1866) 29-. 



Parallels to ellipse. Breton [de Champ], P. 

 N. A. Mth. 3 (1844) 442-. 



. Forti, A. O. (in) Rv. Sc.-Ind. 



14 (1882) 428-. 



534 



