8420 Kinematic Geometry 



Straight line sliding against curves, locus of 



point in. Enneper, A. Z. Mth. Ps. 11 (1866) 



434-. 

 Surface, 4th degree, with generators capable 



of moving normally to their trajectories. 



Chasles, M. C. R. 52 (1861) 1094-. 

 Surfaces capable of generating a Lame" system. 



Cosserat, E. G. R. 124 (1897) 1426-. 



generated by motion of lines, partial diffe- 

 rential equations. BlaSek, G. [1864] Wien 

 Sb. 51 (1865) (Ab. 2) 186-. 



moving curve. Pranghofer, J. Wien 



Sb. 53 (1866) (Ab. 2) 505-. 



plane curve when plane rolls on 

 developable surface. Pirondini, G. G. Mt. 

 30 (1892) 188-. 



having generators of constant form, partial 

 differential equation for. Gebbia, M. Pa- 

 lermo Cir. Mt. Rd. 1 (1887) 74-. 



, helicoidal, construction of parallel projec- 

 tion, and especially shadow. Burmester, L. 

 Z. Mth. Ps. 18 (1873) 184-. 



related to curve (skew) rolling on another. 

 Svechnicoff [SveSnikov], P. N. A. Mth. 14 

 (1895) 501- ; Kazan S. Ps.-Mth. Bll. 6 (1896) 

 16 pp. ; Fschr. Mth. (1896) 537. 



, screw, with circumscribed cylinders, tan- 

 gent curves. Sobotka, J. Prag Sb. (1893) 

 (Mth.-Nt.) No. 22, 38 pp. 



susceptible of generation by motion of plane 

 curve. Mainardi, G. Mod. S. It. Mm. 20 

 (1828) 482-. 



System of 3 equal figures in same plane, 



properties. Stephanos, C. [1881] Par. S. 



Phlm. Bll. 6 (1882) 12-. 

 2 similar bodies. Chasles, M. Quetelet 



Cor. Mth. 7 (1832) 352-. 

 Theorem. Reveille, J. Par. S. Mth. Bll. 16 



(1888) 130- . 



on description of areas. Johnson, W. W. 

 B. A. Rp. (1881) 536-. 



Theorems of Schooten and de La Hire. 

 (1) Ellipse, kinematic description. (2) Hypo- 

 cycloid degenerating to t straight line. La 

 Gournerie, J. de. Par. EC. Pol. J. 36 e cah. 

 (1856) 255-. 



Trajectory of point on straight line displaced 

 under conditions. Mannheim, A. C. R. 70 

 (1870) 1215-. 



surfaces of figure of invariable form, normals, 

 construction. Mannheim, A. As. Fr. C. R. 

 (1878) 152-. 



, meet two straight 



lines. Mannheim, A. As.Fr.C.R.2(1873)95-. 



moving under 4 conditions. Mann- 

 heim, A. (x) C. R. 77 (1873) 752-; Par. 

 Mm. Sav. Etr. 22 (1876) No. 12, 19 pp. 



Transformation of demonstration in kinematic 

 geometry. Mannheim, A. C. R. 112 (1891) 

 475-. 



, general, of group of Euclidean movements. 

 Page, J. M. [1898] A. Mth. 12 (1898-99) 87-. 



method. Mannheim, A. C. R. 110 (1890) 

 220-, 270-. 



for ruled surfaces. Mannheim, A. C. R. 



88 (1879) 1128-. 

 Transformations. Mannheim, A. C. R. 110 



(1890) 391-. 



Plane Curves 8430 



Translation surface. Crelle, A. L. Crelle J. 

 51 (1856) 100-. 



surfaces. Sucliarda, A. Wien Ak. Sb. 92 

 (1886) (Ab. 2) 836-. 



. Pirondini, G. A. Mt. 17 (1889-90) 



225-. 

 . Sanctis, P. de. N. A. Mth. 9 (1890) 



552-. 

 . Lie, S. Leip. Mth. Ps. B. 44 (1892) 



447-, 559-. 

 , and Abel's theorem. Lie, S. C. R. 



114 (1892) 277- ; Leip. Mth. Ps. B. 48 (1896) 



arising in several ways. Scheffers, G. 



C. R. 116 (1893) 1352-. 

 , construction of tangent rays. Sucharda, 



A. Prag Ceske Ak. Fr. Jos. Rz. (TfUa 2) 



6 (1897) Art. 24, 36 pp. ; Prag Fr. Jos. Ac. 



Sc. Bll. (Mth. Nt.) 4 (1897) (Pt. 2) 63-. 

 , determination of all. Lie, M. S. Arch. 



Mth. Ntvd. 7 (1882) 155-. 

 in general and biquadratic in particular. 



Sucharda, A. Casopis 28 (1899) 257-, 336- ; 



Fschr. Mth. (1899) 571-. 



"surfaces" and Abel's theorem. Lie, S. 

 Leip. Mth. Ps. B. 49 (1897) 181-. 



Trochoids. Studnicka, F. J. Casopis 1 (*1872) 



252- ; Bll. Sc. Mth. As. 6 (1874) 97. 

 , curvature. Gogu, C. [1890] Bucarest Ac. 



Rom. A. 13 (1890-91) (Pt. Admin.) 45-. 

 , double generation. Wiener, L. C. Z. Mth. 



Ps. 26 (1881) 257-. 

 , evolutes. Wiener, L. C. Z. Mth. Ps. 27 



(1882) 129-. 

 , foliate curves. Hyde, E. W. Des Moines 



Anal. 2 (1875) 12-. 

 , history. Hoza, F. Casopis 1 (*1872) 54-. 



of points on rolling conies. Ekama, H. 

 N. Arch. Wisk. 16 (1889) 58-; Fschr. Mth. 

 (1889) 719-. 



Volumes generated by closed contour in any 



motion. Koenigs, G. C. R. 106 (1888) 



1512-. 

 Watt's curve. Catalan, E. Mathesis 5 (1885) 



154-, 222-. 

 , theorem. Tchebitchef, P. L. Bll. Sc. 



Mth. As. 5 (1881) (Pt. 1) 216. 



8430 Curvature of plane curves; 

 other applications of the differen- 

 tial calculus to plane curves. (See 

 also 7210.) 



Aberration of curvature. Husquin de Rheville, 



. N. A. Mth. 9 (1890) 138-. 



. Servais, C. Mathesis 12 (1892) 129-. 



Antipedals, theorem. Catalan, E. C. Rm. 



At. N. Line. 25 (1872) 349-. 

 Asymptotic chords. Hermann, O. Grunert 



Arch. 12 (1849) 323-. 

 Barycentre of curvature. Steiner, J. Berl. 



Ab. (1838) 19-. 

 of algebraic curves. Neumann, C. 



Z. Mth. Ps. 12 (1867) 172-, 425-. 



598 



