7630 



Special Plane Curves. Degrees 4-6. Lemniscates 



7630 



circular, theorems. Lachlan, R. Camb. Ph. 



S. P. 7 (1892) 87-. 

 with 3 common double points, series. Taylor, 



H. M. L. Mth. S. P. 28 (1897) 316-. 



cusp. Richmond, H. W. QJ. Mth. 26 

 (1893) 5-. 



at infinity at which line at infinity is a 



tangent. Jeffery, H. M. [1882] L. Mth. S. 

 P. 14 (1882-83) 71-. 



3 cusps, circum-polygons. Roberts, R. A. 

 [1882] L. Mth. S. P. 14 (1882-83) 56-. 



of 1st species. Padula, F. Nap. Mm. 



Ac. Sc. 1 (1852-54) 31-. 

 double points of inflexion. Beyel, C. 



Z. Mth. Ps. 30 (1885) 1-, 65-. 

 . Schoute, P. H. G. Teix. 



J. Sc. 13 (1897) 10-. 

 , particularly the "Kreuz- 



curve". Balitrand,. Mathesis 11 (1891) 



241- ; 13 (1893)5-. 

 , lemniscate. Laguerre, 



E. N. A. Mth. 17 (1878) 337-. 



double tangential node and double point. 

 Beyel, C. Ziir. Vjschr. 31 (1886) 178-. 



envelope derived from conic. Hall, A. [1871] 



Smiths. Misc. Coll. 20 (1881) Art. 1, 30-. 



(Wash. Ph. S. Bll. 1 (1874).) 

 Klein's quartic is its own <S-covariant. Ciani, 



E. Mil. I. Lomb. Ed. 33 (1900) 565-. 

 locus of foci of certain plane sections of 



quadrics. Newson, H. B. Am. J. Mth. 14 



(1892) 87-. 

 mechanical description. Cayley, A. [1872] 



L. Mth. S. P. 4 (1871-73) 186-. 

 multiply automorphic , possible types . Ciani , E. 



Palermo Cir. Mt. Ed. 13 (1899) 347-. 

 with 2 odd branches. Cayley, A. Mess. Mth. 6 



(1877) 107-. 



points of inflexion. Masoni, U. Nap. Ed. 

 21 (1882) 45-. 



3 points of inflexion. Schoute, P. H. Arch. 

 Mth. Ps. 2 (1885) 113- ; 3 (1886) 113-; 4 

 (1886) 308- ; 6 (1888) 113-. 



Steiner's quartic and 9-point circle. Godt, W. 



[1895-96] D. Mth. Vr. Jbr. 4 (1897) 161- ; 



Munch. Ak. Sb. 26 (1897) 119-. 

 with triangular symmetry. Nielsen, H. P. N. 



Ts. Mth. 4 (B) (1893) 30-; Fschr. Mth. 



(1893-94) 1145. 

 and 3rd class. Steiner, J. Berl. Mb. (1856) 1-. 



Curves, 5th degree. 



with 5 cusps, equation. Del Pezzo, P. Nap. 



Ed. 28 (1889) 46-. 

 non-singular, forms. Barcroft, D. Am. J. 



Mth. 10 (1888) 131-. 



Curves, 6th degree. 



Roberts, R. A. Mess. Mth. 15 (1886) 26-. 

 bicursal. Cayley, A. L. Mth. S. P. 7 (1876) 



166-. 

 double points. Valentiner, E. C. (xn) Ts. 



Mth. 5 (1881) 88-, 124-. 

 mechanical description. Cayley, A . [1872] L. 



Mth. S. P. 4 (1871-73) 105-. 



Cyclotomic curves. Kempe, A. Liege S. Sc. 



Mm. 20 (1898) No. 8, 14 pp. 

 Ellipse, curves derived from. Dienger, J. 



Grunert Arch. 9 (1847) 90-, 335-; N. A. 



Mth. 6 (1847) 234-. 

 and hyperbola, curves derived in similar 



manner to. Vieth, G. U. A. Gilbert A. 



58 (1818) 187-. 

 Envelope of Simson's line. Greer, H. R. 



[1865] QJ. Mth. 7 (1866) 70-. 

 ---- . Cayley, A. QJ. Mth. 9 1868) 



31-, 175-. 

 ---- . Griffiths, J. QJ. Mth. 9 (1868) 



346-. 

 Equilateral curves comprised in 



= S^"- 1 Zj r, = H n 

 Serret, P. C. E. 121 (1895) 438-. 



hyperbola, curve derived from. Talbot, 

 W. A. F. Gergonne A. Mth. 13 (1822) 

 242-. 



hyperbolas of any order. Serret, P. C. E. 

 121 (1895) 340-. 



Evolutes of ellipse and hyperbola. Breton 

 \de Champ-], P. N. A. Mth. 2 (1843) 223-. 



Focals of elliptic cylinders. Stahli, F. Bern 

 Mt. (1894) 102-. 



, generation. Chasles, M. Quetelet Cor. 

 Mth. 6 (1830) 207-. 



, points of intersection with circles and 

 lemniscates. Weyr, Em. Prag Sb. (1873) 

 166-. 



Foci of sections of cone, locus. Rees, R. van. 



Quetelet Cor. Mth. 4 (1828) 37-; 5 (1829) 



361-. 

 Folium of Descartes. Midy, . N. A. Mth. 



3 (1844) 293-. 



_ _ _. Koldfik, A. Casopis 7 (*1878) 113-, 



146- ; Fschr. Mth. (*1878) 483. 

 --- , secants and tangents. Himstedt, A. 



Arch. Mth. Ps. 15 (1897) 129-. 

 --- (1 + M 3 ) x = Sou, y = ux. Zahradnik, 



K. Casopis 24 (1895) 282-; Fschr. Mth. 



(1895) 681. 

 "Fruiform" curve. Popoff, A. Mosc. S. Nt. 



Bll. 32 (1859) 283-. 

 Hinged rod in fluid of varying height, locus of 



point in surface. Collignon, E. As. Fr. C. 



R. (1890) (Pt. 2) 38-. 



Lemniscates. 



Verdam, G. J. Amst. N. Vh. 13 (1848) 81-. 

 Arrest, H. d'. As. Nr. 37 (1854) 203-. 

 Torry, A. F. Mess. Mth. 4 (1868) 139-. 

 Weyr, E. J. [1873] (xi) Prag Ab. 6 (1874) 



(Mth.) 39 pp. 

 Schoute, P. H. [1883] (xi) Wien Ak. Sb. 88 



(1884 (Ab. 2) 1252-. 

 Chini, M. G. Mt. 25 (1887) 51-. 

 Oekinghaus, E. Arch. Mth. Ps. 7 (1889) 337- ; 



8 (1890) 24-. 

 Zahradnik, K. [1898] Arch. Mth. Ps. 16 



(1898) 327-; Casopis 28 (1899) 27-. 

 and aplanatic lines. Terquem, 0. N. A. Mth. 



4 (1845) 423-. 



533 



