8050 



Application of Transcendental Functions 



8060 



Curves, 2nd and 3rd degrees, parametric determi- 

 nation of points. Juel,C. Mth. A. 47 (1896) 72-. 



, 3rd degree, intersections with straight lines. 

 Laguerre, E. [1875] Par. S. Mth. Bll. 4 

 (1876) 110-. 



, -- , and their representation on circle. 

 Durege, H. Z. Mth. Ps. 17 (1872) 433-. 



, 6th degree, cases. Roberts, R. A. Mess. 

 Mth. 15 (1886) 26-. 



Elliptic curves, equation giving points of in- 



flexion. Brioschi, F. Mil. I. Lomb. Bd. 2 



(1869) 559-. 

 -- , plane. Schlesinger, 0. Mth. A. 33 



(1889) 444-; 34 (1889) 463-. 

 -- , reduction of linear systems, and general 



theorem on curves of genus p. Guccia, G. B. 



Palermo Cir. Mt. Ed. 1 (1887) 169-. 



function, 1st species, with any modulus, 

 skew curves with arcs representing. Molins, 

 H. Liouv. J. Mth. 4 (1878) 187-. 



functions. Hurwitz, A. [1881] Mth. A. 19 



(1882) 56-. 



-- , cubic transformation, and skew curves 

 of 3rd degree. Dixon, A. C. Mess. Mth. 23 

 (1894) 94-. 



and curves of 3rd degree. Harnack, A. 

 (vn) Erlang. Sb. Ps. Md. S. 6 (1874) 163- ; 

 (x) Mth. A. 9 (1876) 1-. 



-- . ----- . Bobek, K. Casopis 12 



(*1883) 1-; Fschr. Mth. (*1883) 407. 

 ------- . Pick, G. Wien Ak. Sb. 



97 (1889) (Ab. 2o) 711-. 

 ------- . Kotter, E. Crelle J. 



Mth. 114 (1895) 170-. 

 ----- 4th degree. Siebeck, H. Crelle 



J. 57 (1860) 359-; 59 (1861) 173-. 

 -- of one parameter, curves with coordinates 



representable as. Clebsch, R. F. A. [1864] 



Crelle J. 64 (1865) 210-. 

 ----- , ----- (Clebsch's 



curves). Humbert, G. Par. S. Mth. Bll. 



9 (1881) 166-. 

 --- , expression of coordinates of 



bi-nodal quartic curve as functions of. 



Davis, E. W. Am. J. Mth. 5 (1882) 331-. 

 -- and skew curves of 4th degree, 1st kind. 



Pick, G. Wien Ak. Sb. 98 (1890) (Ab. 2a) 536-. 

 -- , trisection, applied to points of inflexion of 



cubic. Heinze,L. Arch. Mth. Ps. 70 (1884) 1-. 



and hyperelliptic integrals, application to 

 rational curves. Laguerre, E. C. B. 96 



(1883) 769-. 



Equation y* = x (* 4 -l). Burnside, W. [1892] 



L. Mth. S. P. 24 (1893) 17-. 

 Eulerian integrals and sinusoid spirals 



Loria, G. Prag Sb. (1897) (Mth.-Nt.) No. 18, 



6pp. 

 Fuchsian functions. Humbert, G. Liouv. J. 



Mth. 2 (1886) 239-. 

 of one parameter, expression of co- 



ordinates of curve by. Picard, E. C. B. 



92 (1881) 1332-. 

 Functional and invariant theory of binomial 



curves. Wellstein, J. Ac. Nt. C. N. Acta 



74 (1899) 279-. 



Hyperelliptic curves. Bobek, K. Prag Ab. 1 



(1886) No. 1, 27-; Wien Ak. Sb. 93 (1886) 

 (Ab. 2) 601- ; 94 (1887) (Ab. 2) 861- ; 95 



(1887) (Ab. 2) 31-; Mth. A. 29 (1887) 386-. 

 . Valentiner, H. N. Ts. Mth. 10 (B) 



(1899) 51-; Fschr. Mth. (1900) 572-. 



, class of curves akin to. Bobek, K. 

 Wien Ak. Sb. 98 (1890) (Ab. 2a) 141-. 



, genus 3, allowing automorphic trans- 

 formations. Wiman, A. Stockh. Ak. Hndl. 

 Bh. 21 (Afd. 1) (1896) No. 1, 23 pp. 



, special. Weltzien, C. Mth. A. 30 (1887) 



535-. 



, transformation. Cremona, L. Mil. I. 



Lomb. Bd. 2 (1869) 566-. 



C 3n , genus arbitrary. 1 Kupper, C. J. 

 Prag Ab. 1 (1886) No. 1, 26 pp. 



Cg with 13 given double points, system. 



Kiipper, C. Prag Sb. (1898) (Mth.-Nt.) No. 1, 

 7pp. 



functions of one parameter, curves with co- 

 ordinates representable as. Brill, A. [1865] 

 Crelle J. 65 (1866) 269-. 



Intersections of curves, coordinates. Blazei- 



evski, R. N. A. Mth. 14 (1895) 49-. 

 Multiply tangential curves to algebraic curves. 



Weiss, W. Mh. Mth. Ps. 7 (1896) 370-. 

 Parameters, representation of curves by. En- 



riques, F. Palermo Cir. Mt. Bd. 10 (1896) 



30-. 

 Bational, elliptic, and hyperelliptic curves, linear 



systems. Kantor, S. Mh. Mth. Ps. 10 (1899) 



18-. 



transformations of curves. Painleve, P. C. 

 E. 105 (1887) 792-. 



Biemann's integrals of 1st species, canonical 



form. Christoffel, E. B. A. Mt. 9 (1878- 



79) 240-. 

 Spherical curves, 2 systems representable by 



elliptic functions. Lilienthal, R. von. Crelle 



J. Mth. 93 (1882) 237-. 

 Steiner's polygons. Schoute, P. H. Crelle J. 



Mth. 95 (1883) 105-, 317-. 

 Theta functions and curves of 3rd degree. 



Schlesinger, 0. Mth. A. 31 (1888) 183-. 

 (2, 2) correspondence, coincidence of elements. 



Broden, T. Stockh. Ofv. (1893) 45-, 213-. 



8060 Application of transcendental 

 functions to algebraic surfaces. 

 (See also 4040, 4060, 7650.) 



Enriques, F. [1893-96] Tor. Ac. Sc. Mm. 44 



(1894) 171- ; Em. S. It. Mm. 10 (1896) 1-. 

 Abelian functions and a class of representations 



of surfaces. Clebsch, R. F. A. [1870] Mth. 



A. 3 (1871) 45-. 

 genus 3, sextic surfaces associated with. 



Humbert, G. C. E. 120 (1895) 365-; Liouv. 



J. Mth. 2 (1896) 263-. 

 of 2 parameters, surfaces with coordinates 



of any point expressible by. Picard, E. C. 



E. 92 (1881) 1495- ; Mth. A. 19 (1882) 569-. 



and quartic surfaces. Humbert, G. 

 C. E. 129 (1899) 640-. 



569 



