7610 



Higher Algebraic Plane Curves 



Chasles, 



7610 



Generation of curves (de Jonquieres) . 



M. C. B. 45 (1857) 318-. 

 . H&rtenberger,G. Crelle J. 58 (1860) 



54-. 

 . Olivier, A. [1869] Crelle J. 71 



(1870) 1-. 

 . Vanecek, J. S., & Vanetek, M. N. 



Prag Sb. (1885) (Mth.-Nt.) 202-. 

 the curves determined by unknown points 



of intersection of given curves. Olivier, A. 



Z. Mth. Ps. 14 (1869) 209-. 

 curves, linear. Grassmann, H. Crelle J. 



42 (1852) 187-. 

 by many valued elements. Weyr, Em. 



[1870] Prag Ab. 4 (1871) 32 pp. 



_, mechanical. Schlegel, V. [1872] 

 Mth. A. 6 (1873) 321-. 



, projective. Bobek, K. Mth. A. 25 



(1885) 448-. 

 by projective involutions. Weyr, Em. 



[1870] Mth. A. 3 (1871) 34-. 



__ projective curved configurations. Mili- 

 nowski, . Z. Mth. Ps. 18 (1873) 288-. 



straight lines by curves. Steen, A. Mth. 



Ts. 4 (1862) 123-. 



Geometrical transformation (pseudo-Newton- 

 ian). Brocard,H. Liege S. Sc. Mm. 1 (1899) 

 No. 3, 24 pp. 



(_). Retail, V. Liege S. Sc. Mm. 2 



(1900) No. 4, 24 pp. 



Hessian. Chrystal, . [1885] Edinb. E. S. T. 

 32 (1887) 645-. 



and Cayleyan of curve, common tangents. 

 Maisano, G. [1885] Palermo Cir. Mt. Bd. 



I (1887) 46-. 



curve. Brill, A. [1877] Mth. A. 13 (1878) 

 175-. 



. Pezzo, P. del. Nap. Ed. 22 (1883) 203-. 



, geometric treatment. Hotter, E. Mth. 



A. 34 (1889) 123-. 



and Steinerian. Steiner, J. [1848] Crelle 

 J. 47 (1854) 1-. 



(Steiner). Clebsch, E. F. A. [1864] 



Crelle J. 64 (1865) 288-. 

 Hessians, Steinerians, and Cayleyans, curves 



analogous to. Maisano, G. Palermo Cir. 



Mt. Ed. 1 (1887) 66-. 



and Steinerians of higher orders in 1 -dimen- 

 sional geometry. Newson, H. B. A. Mth. 



II (1896-97) 121-. 



Intersection of curve with straight line. Routh, 



E. J. QJ. Mth. 24 (1890) 257-. 

 curves. Burrow, R. As. Eesearches 1 



(1788) 330-. 

 . Cayley, A. Camb. Mth. J. 3 (1843) 



211- ; Mth. A. 30 (1887) 85-. 

 2 curves. Painvin, L. Bll. Sc. Mth. 



As. 5 (1873) 138-. 

 in a singular point. Halphen,G.H. 



Par. Sc. Mth. Bll. 3 (1875) 76-. 

 , curvilinear, theory of loci. Walton, W. 



Camb. Mth. J. 2 (1841) 85-. 



of lines with curves of odd degree. Dawson, 

 H. G. Mess. Mth. 19 (1890) 108-. 



n tangents where radius vector cuts curve 



C^, problem of Steiner. Schoute, P. H. 

 Bll. Sc. Mth. 10 (1886) 242-. 



526 



Intersection of n tangents where radius vector 



cuts curve C^, problem of Steiner. Zeuthen, 



H. G. Bll.lte. Mth. 11 (1887) 82-. 

 Intersections of curves, theorems. Valentiner, 



H. (xn) Ts. Mth. 5 (1881) 1-. 

 , of Humbert and Fouret. Borel, E. 



N. A. Mth. 9 (1890) 123-. 

 2 curves. Franklin, F. Am. J. Mth. 3 



(1880) 192. 

 , theorem of Jacobi, proof. Peter sen, 



J. P. C. (xn) Ts. Mth. 2 (1878) 14-. 

 Inversion, classification of curves with reference 



to. Johnson, W. W. Des Moines Anal. 4 



(1877) 42-. 

 Kinematic determination of curves. Ocagne, 



M. d'. N. A. Mth. 1 (1882) 40-; 2 (1883) 



189-. 

 geometry, applications. Mannheim, A. 



Prag Sb. (1888) (Mth.-Nt.) 87-. 

 Least chord through given point. Emsmann, H. 



Grunert Arch. 23 (1854) 460-. 



Loci, applications of law of decomposition. 



Saltel, L. Brux. Ac. Bll. 42 (1876) 586-. 

 , degree and class. Halphen, G. H. C. E. 



83 (1876) 705-. 



and envelopes. Chasles, M. C. E. 82 (1876) 

 1463- ; 85 (1877) 362-. 



, theorem of Chasles, applications. 



Serret, P. C. E. 86 (1878) 116-. 

 , general law. Saltel, L. Brux. Ac. Bll. 41 



(1876) 595-. 

 , node- and cusp-, enveloped by tangents at 



the cusps. Hill, M. J. M. L. Mth. S. P. 



22 (1891) 216-. 

 , orthoptic, degree. Taylor, C. Mess. Mth. 



16 (1887) 1-. 

 , and isoptic, degree. Taylor, C. E. S. P. 



37 (1884) 138-. 

 , various. Brasseur, J. B. Brux. Ac. Bll. 



13 (1846) 311- ; 18 (1851) 372-; Brux. Mm. 



Cour. 4, 21 (1846) 26 pp. 

 Locus of contact points of net of curves touching 



fixed curve. Faure, H. N. A. Mth. 18 



(1859) 237-. 

 , degree k, of curves of pencil with 



those of o> * linear system. Franchis, M. de. 



Palermo Cir. Mt. Ed. 10 (1896) 118- ; 11 



(1897) 12-. 



defined by algebraic conditions, method of 

 determining degree. Saltel, L. Brux. Ac. 

 Bll. 42 (1876) 300-. 



, number of double points. 

 Saltel, L. C. E. 88 (1879) 329-. 



, determination of degree without calculation. 

 Saltel, L. [1874] Brux. Mm. Cour. 8, 24 

 (1875) No. 5, 33 pp. 



of harmonic centres on radii vectores. 

 Palatini, F. G. Mt. 33 (1895) 210-. 



intersection of tangents at ends of chord 



of constant length in a conic. Schlomilch, 0. 

 Z. Mth. Ps. 14 (1869) 158-. 



point in chord of constant length in 

 ellipse. Enneper,A. Schlomilch Z. 7 (1862) 

 200-. 



points whose distances from curves fulfil 



given relation, symbolic formula for degree. 

 Fouret, G. G. E. 83 (1876) 605-. 



