7610 



Higher Plane Curves. Degree n 



7610 



... n-l . n-2 

 with 2 double points, expression 



of coordinates by parameter. Schivarz, 



C. H. A. Liouv. J. Mth. 6 (1880) 111-. 

 and index N. Jonquieres, E. de. Liouv. J. 



Mth. 6 (1861) 113- ; 8 (1863) 71-. 

 with multiple point of order n-l. Niewen- 



glowski, B. C. E. 80 (1875) 1067- ; N. A. 



Mth. 15 (1876) 126-. 

 . Fouret,G. C. E. 80 (1875) 



1158-. 

 , construction with ruler, and 



reciprocal problem. Weyr, Em. Prag Sb. 



(1873) 198-. 

 ri 2, new property. Bertini, E. 



Rm. E. Ac. Line. T. 1 (1877) 92-. 

 number of points of maximum and minimum 



curvature in. Brunei, G. Bordeaux S. Sc. 



Mm. 3 (1893) 167-. 

 needed to determine a curve. Machovec, 



F. 6asopis 16 (1887) 225- ; Fschr. Mth. (1887) 



685. 



Curves, nth and pth degrees. 



intersections, theorem. Schoute, P. H. Amst. 

 Ak. Vs. [1] (1893) 53-, 62-. 



Cusps. Schubert, F. T. [1818] St Pet. Ac. 



Sc. Mm. 8 (1822) 176-. 

 Degeneration of curves into straight lines. 



Gordan, P. Mth. A. 45 (1894) 410-. 

 Dependence, mutual, of curves, and general 



properties. Steiner, J. Liouv. J. Mth. 18 



(1853) 309-. 

 Desargues's theorem, generalisation. Saltel, L. 



Brux. Ac. Bll. 41 (1876) 594. 

 Diameters. Wantzel, L. Par. S. Phlm. PV. 



(1847) 98-; Liouv. J. Mth. 14 (1849) 111-. 

 . Fenwick, S. Mathematician 3 (1850) 



156-. 

 , bisecting. Breton [de Champ], P. N. A. 



Mth. 14 (1855) 7-. 

 , properties. Chasles, M. C. E. 72 (1871) 



794-. 

 , theory. Lucas, F. Liouv. J. Mth. 8 (1863) 



145-. 

 Diametrical curves. Walton, W. Camb. Mth. 



J. 2 (1841) 76-. 

 Directrices. Raabe, J. L. Crelle J. 2 (1827) 



330-. 

 Discontinuities in curves. Vogel, P. Z. Mth. 



Ps. 26 (1881) 391-. 

 Discontinuous curves, geometry. Boidi, G. 



Bologna Opusc. Sc. 3 (1819) 276-. 

 Double point of plane curve, resolution in 3- 



dimensional space, and related mechanical 



problem. Schlegel, S. F.V. Z. Mth. Ps. 28 



(1883) 105-. 

 points. Oppenheimer, H. Z. Mth. Ps. 41 



(1896) 305-. 

 , curve with 6. Godefroy, A. N. N. Arch. 



Wisk. 18 (1891) 151-. 

 , group of curves with m 2 . Fries, J. de. 



Amst. Ak. Vs. 3 (1895) 139-. 

 Elements at infinity in geometric figures, deter- 

 mination. Weyr, E. J. [1873] (xi) Bll. 



Sc. Mth. As. 6 (1874) 93-. 



Elimination theory, with application to curves. 



Saltel, L. N. A. Mth. 20 (1881) 546-; 2 (1883) 



554-. 

 Elliptic curves, equation giving points of in- 



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



(1869) 559-. 

 Envelope of diameters. Walker, J. J. L. Mth. 



S. P. 10 (1878-79) 180-. 

 -- family of curves. Landre, C. L. N. 



Arch. Wisk. 5 (*1879) 205-. 

 Envelopes. Weill, . N. A. Mth. 3 (1884) 



376-. 

 Equation, algebraic, curves whose intersections 



give imaginary roots of. Sprague, T. B. 



[1882] Edinb. E. S. T. 30 (1883) 467-. 



in point coordinates obtained from tangential 

 equation. Turquan, . N. A. Mth. 4 (1845) 

 410-. 



of tangent. Purkiss, H. J. Mess. Mth. 3 

 (1866) 19-. 



--- , magical. Hiern, W. P. OJ. Mth. 6 

 (1863) 31-. 



, tangential polar, of a curve. Ferrers, N. M. 

 QJ. Mth. 1 (1857) 210-. 



2 fSi = <t> (X) . application. Beltrami, E. 



BlognaAc. Sc. Mm. 10 (1879) 233-. 

 Equations of curve in polar coordinates, number 

 for same axis. Forestier, C. Toul. Ac. Sc. 

 Mm. 1 (1879) 250-. 



, intrinsic, of curves. Onnen, H. N. Arch. 

 Wisk. 1 (*1875) 1-; 5 (*1879) 1-; (x) Arch. 

 Neerl. 14 (1879) 1-. 



, , -- , especially cycloids. Onnen, H. 

 N. Arch. Wisk. 4 (*1878) 30-. 



.higher, construction. Hill,C.J.D. Stockh. 

 Ofv. 19 (1862) 307-. 



, , geometric representation of numerical 

 system. Spitz er, S. Wien SB. 6 (1851) 152-; 

 7 (1851) 455-. 



Equidistant curves. Frolov, (le gen.) M. As. 



Fr. C. E. (1894) (Pt. 2) 235-. 

 Focal and normal properties. Laguerre, (le 



cap.) . C. E. 60 (1865) 70-. 

 Foci. Plucker, J. [1832] Crelle J. 10 (1833) 



84-. 



. Roguet, C. N. A. Mth. 1 (1842) 131-. 



. Vachette, A. N. A. Mth. 1 (1842) 

 417-. 



. Laguerre-Verly, E., & Sacchi, J. N. A. 

 Mth. 12 (1853) 225-. 



. Quetelet, E. Brux. Mm. Cour. 4, 26 

 (1854-55) 44 pp. 



. Roberts, S. QJ. Mth. 2 (1858) 195-. 



. Terquem, O. N. A. Mth. 18 (1859) 

 399-. 



. Gibert, E., & Niewenglowski, B. C. E. 

 82 (1876) 913-. 



. Amigues, E. N. A. Mth. 11 (1892) 163-. 



of curves and focals of cones. Laguerre, E. 

 N. A. Mth. 18 (1879) 57-. 



, new analytic projective treatment. Siebeck, 

 H. Crelle J. 64 (1865) 175-. 



Generation of curves. Terquem, 0. N. A. 



Mth. 12 (1853) 220-. 

 --- . Jonquieres, E. de. [1857] Par. Mm 



Sav. Etr. 16 (1862) 159-. 



525 



