8020 Other Transformations 



Eepresentable surfaces, equation. Brill, A. 



[1871] Mth. A. 5 (1872) 401-. 

 Eepresentation, plane, of algebraic surfaces 



with cuspidal curves. Cremona,, L. Bologna 



Ac. Sc. Mm. 2 (1872) 117-. 

 , , multiple curve. Tognoli, O. 



G. Mt. 14 (1876) 263-, 378-. 

 , , reciprocal of Steiner's surface. 



Laguerre, E. [1872] (x) Par. S. Mth. 



Bll. 1 (1873) 21-. 

 , , ruled surfaces of 4th degree, with 



double curve of 3rd degree. Clebsch, R.F. A. 



Mth. A. 2 (1870) 445-. 

 , , surface of 3rd degree. Clebsch, E. 



F. A. Mth. A. 5 (1872) 419-. 

 , , , as affected by singulari- 

 ties. Diekmann, J. Mth. A. 4 (1871) 443-. 



of surface of 4th degree. Frahm, W. [1873] 

 (ix) Mth. A. 7 (1874) 512-. 



Scalene transformation of plane curve. 



Cayley, A. QJ. Mth. 13 (1875) 321-. 

 Simply rational transformations of surfaces. 



Painleve, P. C. B. 110 (1890) 184-. 



, and class of differential 

 equations. Painleve, P. C.B. 110 (1890) 226-. 



Solid figures, transformation, 2 methods. 



Amigues, E. N. A. Mth. 18 (1879) 548-; 



19 (1880) 433-, 481-. 

 Straight lines and circles through one point, 



systems. Fuortes, T. G. Mt. 16 (1878) 91-. 

 , transformations. Lovett, E. 0. C. B. 



129 (1899) 20-, 144-, 358. 

 Substitution, surf aces obtained from plane curves 



by. Eckardt, F. E. (vn) Mth. A. 7 (1874) 



590-. 



Substitutions, rational, permitting rational in- 

 version. Eosanes, J. [1870] Crelle J. 73 



(1871) 97-. 

 , regular non-linear. Autonne, . C. B. 



122 (1896) 1043-. 

 Surfaces, transformations by planes through 



normals. Enneper, A. Gott. Nr. (1877) 



369- ; (1881) 305- ; Mth. A. 21 (1883) 267-. 

 Symmetrical (n, n) point transformations and 



Poncelet tetrastigms. Schober, K. Mh. 



Mth. Ps. 9 (1898) 89-. 



systems of elements. Weyr, E. J. [1874] 

 Bordeaux S. Sc. Mm. 10 (1875) 329-. 



System of quadrics with common generator and 

 related projective system. Cardinaal, J. 

 Crelle J. Mth. Ill (1893) 31-. 



Tangential transformation. Genese, E. W. 

 B. A. Ep., (1891) 571-. 



Transformations which have no fundamental 

 curves of 1st kind. Kantor, S. Acta Mth. 

 21 (1897) 1-. 



Transmutations of curves. Cayley, A. Liouv. 

 J. Mth. 14 (1849) 40- ; 15 (1850) 351-. 



Uniform automorphic transformations, alge- 

 braic configurations with. Hurwitz,A. Mth. 

 A. 32 (1888) 290- ; 41 (1893) 403-. 



cubic space transformation, simple. Dohle- 

 mann, K. Munch. Ak. Sb. 24 (1895) 41-. 



transformations, construction. Bertini, 



E. Mil. I. Lomb. Ed. 15 (1882) 154-. 



plane and space transformations. Bianchi, 

 L. G. Mt. 16 (1878) 263-. 



Point-groups 8030 



Uniform plane transformations. Nother, M. 

 Mth. A. 5 (1872) 635-. 



quadratic plane transformations. Timerding, 

 H. E. Mth. A. 53 (1900) 193-. 



space transformations, and application to 

 representation of algebraic surfaces. Nother, 

 M. [1870] Mth. A. 3 (1871) 547-. 



transformations, 2. Schoute, P. H. As. Fr. 

 C. B. (1883) 131-. 



, , geometric representation. Le Paige, 



C. M. M. H. H. Brux. Ac. Bll. 3 (1882) 



760- ; 4 (1882) 415-. 

 (1, 2) plane transformations. Noether, M. 



Erlang. Ps. Md. S. Sb. 10 (1878) 81-. 

 ( , ) relation between elements of funda- 

 mental configuration of 1st rank. Schubert, 



H. C. H. Crelle J. Mth. 88 (1880) 311-. 

 ( , ) fundamental configurations of 



2nd rank. Schwarz, A. Wien Ak. Sb. 94 



(1878) (Ab. 2) 310-. 

 ( , ) space transformations. Paolis, E. de. 



Em. E. Ac. Line. Mm. 1 (1885) 576-. 

 ( , ) . Wimmer, B. Z. Mth. Ps. 36 



(1891) 214-. 

 (1, 3) representation of cubic surface. Kantor, 



S. [1881-83] Crelle J. Mth. 95 (1883) 147-. 

 (1, 4) correspondence. Cotterill, T. [1868] 



L. Mth. S. P. 2 (1869) 119-. 

 ( , ) relationship between 2 planes. 



Alekseev, V. G. [1888] Bee. Mth. (Moscou) 



14 (1890) 223- ; Fschr. Mth. (1891) 647-. 

 (2, 2) relationship. Heger, E. Z. Mth. Ps. 17 



(1872) 71-. 

 ( , ) , extension of Poncelet' s polygons. 



Fontene, G. N. A. Mth. 16 (1897) 437-. 

 ( , ) transformation. Visalli, P. Palermo 



Cir. Mt. Ed. 3 (1889) 165-. 

 ( , ) transformations obtained by 2 quadric 



transformations. Burali-Forti, C. Palermo 



Cir. Mt. Ed. 5 (1891) 91-. 

 (3, 3) transformation. Ascione, E. G. Mt. 31 



(1893) 55-. 



(m, n) relation on curve, Stephanos 's theorem 

 generalised. Kohn, G. Wien Ak. Sb. 90 

 (1885) (Ab. 2) 226-. 



8030 Groups of points on an alge- 

 braic curve; genus of curves; 

 principle of correspondence. (See 

 also 7610, 7630, 7660.) 



Algebraic functions. Brill, A., & Nother, M. 



[1873] Gott. Nr. (1873) 116- ; Mth. A. 7 



(1874) 269-. 



. Noether, M. Mth. A. 15 (1879) 507-. 



(Noether). Weiss, W. Mh. Mth. Ps. 7 



(1896) 321-. 



, development of theory. Brill, A., < 

 Noether, M. [1893] D. Mth. Vr. Jbr. 3 



(1894) 107-. 



and singularities of curves. Noether, M. 



Mth. A. 9 (1876) 166-. 

 , extension of theorem of 



Noether's. Del Pezzo, P. Palermo Cir. Mt. 



Ed. 2 (1888) 139-. 



560 



