8420 



Kinematic Geometry. Cycloids. Displacement 



8420 



Curve rolling on straight line. Resal, H. A. 

 Liouv. J. Mth. 6 (1880) 115-. 



traced by focus of ellipse rolling on straight 

 line, property. Spitzer, S. Arch. Mth. Ps. 

 48 (1868) 235-. 



Curves circumscribing rotating polygons with 

 reference to drilled holes. Mattock, A. E. 

 S. P. 35 (1883) 319-. 



generated by motion of " reptation." 

 Prouhet, E. N. A. Mth. 13 (1854) 274-, 

 335-. 



traced by end of moving bar, paradox. 

 Terquem, O. N. A. Mth. 12 (1853) 107-. 



_ O val chuck. Wilkens, . Kiob. 



6v. (1843) 61-. 

 Cyclic curves. Boklen, 0. Grunert Arch. 37 



(1861) 119-. 

 , special kind. Durege, H. Ziir. Vjschr. 



8 (1863) 127- ; Z. Mth. Ps. 9 (1864) 209-. 

 Cycloidal curves. Fabri, R. Em. At. 10 



(1856-57) 225-, 387-; 11 (1857-58) 399-. 

 . Stuuture, R. de. Am. J. Mth. 17 (1895) 



269-. 

 , algebraic. Hoist, E. [1881] Arch. 



Mth. Ntvd. 6 (1882) 125-. 

 , common tangents. Morley, F. N. Y. 



Am. Mth. S. Bll. 2 (1896) 111-. 

 , plane and spherical. Ekama,H. Arch. 



Mth. Ps. 7 (1889) 207-. 

 , spherical. Ekama, H. N. Arch. Wisk. 



16 (1889) 32- ; Fschr. Mth. (1889) 805-. 



and other curves, method of construction. 

 Hele-Shaw, H. S. B. A. Ep. (1898) 792-. 



on sphere. Fuss, N. [1817] St Pet. Ac. Sc. 



Mm. 8 (1822) 161-. 

 system having base-line and one cusp common, 



orthogonal trajectories. Baur, G. W. [1871] 



Z. Mth. Ps. 17 (1872) 424-. 

 as tautochrones. Mechanical discussion by 



ancient geometrical method. Lehmann, J. 



W. H. Crelle J. 6 (1830) 49-. 

 theory. Schjellerup, H. C. F. C. Mth. Ts. 1 



(1859) 73-. 

 , geometrical. Du Bourguet, . Gergonne 



A. Mth. 6 (1815-16) 29-. 



Deformation, infinitesimal, of a medium. 



Beltrami, E. C. E. 108 (1889) 502-. 

 Deformations due to elongation of rectangular 



parallelepiped in one direction only. Tresca, 



H. E. C. E. 97 (1883) 928-. 

 Determination of contour of skew helicoidal 



surface. Tesaf, J. [1882] Wien Ak. Sb. 



86 (1883) (Ab. 2) 377-. 



Displacement. 

 continuous, of solid. Mannheim, A. C. E. 63 



(1866) 1386-. 

 of curve touching fixed curve. Combescure, E. 



Crelle J. 63 (1864) 332-. 



double cone. Mannheim, A. C. E. Ill 

 (1890) 634-, 817-. 



figure of invariable form. Mannheim, A. 

 C. E. 66 (1868) 591- ; Par. Mm. Sav. Etr. 20 

 (1872) 1-. 



trochoidal curves, adjustable. Morley, F. . Darboux, G. C. E. 92 (1881) 



Am. J. Mth. 16 (1894) 188-. 



Cycloids. 



Vincent, A. J. H. Lille Mm. S. (1841) 5-; 



Eouen Tr. Ac. (1853-54) 129-. 

 Gibbes, L. JR. Camb. (M.) Mth. M. 1 (1859) 



Weisz, J. A. (xn) Mag. Ak. Ets. (1859) 



(Suppl., Mth. Term.) 81-. 

 Holtz, . [1883] N.-Vorp. Mt. 15 (*1884) 



xm-. 

 construction. Kracht, H. Dingier 289 (1893) 



108-. 

 elementary demonstrations. Schulz von 



Strasznitzki, L. C. Grunert Arch. 13 (1849) 



272-. 

 treatment. HolzmUller, F. G. Z. Mth. 



Ps. 21 (1876) 128-. 

 and epicycloids and hypocycloids. Cardinal, 



. Dingier 35 (1830) 329-. 

 , rectification and quadrature. Lentheric, 



. Mntp. Ac. Sc. Mm. 2 (1851-54) 1-. 

 equilibrium curve in mining. Sanchez, P. C. 



Mex. S. "Alzate" Mm. 9 (1895) 107-. 

 evolutes. Lang, R. Grunert Arch. 30 (1858) 



319-. 



lie solution of problems by. Guimaraes, 

 , G. Teix. J. Sc. 6 (1885) 85-; Fschr. 



Mth. (1884) 492. 

 known in 16th century? Gilnther, S. Bb. 



Mth. (1887) 8-. 

 polar circle pairs. Victor, A. Z. Mth. Ps. 25 



(1880) 263-. 



118-. 



in its plane. Dewulf, E. C. E. 



92 (1881) 1091-. 



, planes of which pass through 



fixed points. Mannheim, A. C. E. 112 

 (1891) 283-. 



figures. Brisse, C. Liouv. J. Mth. 15 

 (1870) 281- . 



finite, conjugate axes in, generalisation of 

 theorem of Chasles. Ligin, V. N. (xn) 

 Eec. Mth. (Moscou) 6 (1872-73) (Pt. 1) 

 193-. 



, of figure of invariable form. Brisse, C. 

 Liouv. J. Mth. 19 (1874) 221- ; 1 (1875) 

 141-. 



, in space. Chasles, M. C. 



E. 51 (1860) 855-, 905- ; 52 (1861) 77-, 

 189-, 487-. 



, rigid system, reciprocal figures obtained 

 by, and reciprocal plane diagrams deduced 

 from them. Padelletti, D. Em. E. Ac. 

 Line. T. 3 (1879) 120-. 



helicoidal, of quadric touching fixed plane. 

 Gontarev, D. A. Vars. S. Nt. Tr. (1895-96) 

 (C. R., Ps. C.) No. 5, 6 pp. 



infinitely small, of algebraic surface. Mann- 

 heim, A. C. E. 70 (1870) 1025-. 



, under 4 conditions. Mannheim, A. C. 



E. 73 (1871) 1096-. 



, of dihedron of invariable size. Mann- 

 heim, A. C. E. 84 (1877) 1373-. 



, , proof of a theorem, and applica- 

 tion. Mannheim, A. [1877] Par. S. Mth. 

 Bll. 6 (1878) 5-. 



592 



