8420 Displacement Kinematic Geometry Epicycloids 8420 



of a jointed hyperboloid. Bricard, R. Par. S. 



Mth. Bll. 25 (1897) 98-. 

 most general, of solid in space, treatment. 



Crofton, M. W. L. Mth. S. P. 5 (1874) 25-. 

 , straight line, points of which describe 



spherical trajectories. Duporcq, E. C. E. 



125 (1897) 762-. 

 of plane figure, curvature of curves described 



during. Servais, C. Brux. Ac. Bll. 19 (1890) 



241-. 

 in its plane. Chasles, M. C. E. 80 



(1875) 346-. 



, theorem. Leaute, H. Par. 



S. Mth. Bll. 6 (1878) 170-. 



,2 points of which slide on any 2 



curves. Chasles, M. C. E. 82 (1876) 431-. 



, all points of which describe spherical 



lines. Bricard, E. C. E. 125 (1897) 1024-. 



remarkable case. Bricard, R. C. E. 123 

 (1896) 939-. 



of rigid system in elliptic space, linear trans- 

 formation corresponding to. Ball, R. S. 

 [1885] Ir. Ac. P. 4 (1884-88) 532-. 



systems. Kiipper, C. Schlomilch Z. 6 



(1861) 12-. 



solid of invariable form. Halphen, G. H. 

 [1873] (x) Par. S. Mth. Bll. 2 (1874) 56-. 



, new method of normals to curves or 

 surfaces described during. Mannheim, A. 

 (x) Par. S. Phlm. Bll. 3 (1866) 79-. 



, singular cases. Halphen, G. H. [1879] 



Par. S. Mth. Bll. 8 (1880) 18-. 

 system in space, and resulting variation 



of coordinates. Rodrigues, 0. Liouv. J. 



Mth. 5 (1840) 380-. 



straight line such that 3 of its points remain 

 on faces of rectangular trihedron. Mann- 

 heim, A. Bll. Sc. Mth. 9 (1885) 137-. 



system of points, differential parameters con- 

 nected with. Durrande, H. C. E. 78 (1874) 

 1036-. 



theory. Halphen, G. H. N. A. Mth. 1 (1882) 

 296-. 



Double cone rolling on 2 converging lines. 



Azzarelli, M. Tortolini A. 7 (1856) 317-. 

 Ellipse sliding against 2 straight lines, locus 



problem. Ferrier, L. N. A. Mth. 3 (1844) 



352-, 438. 

 Ellipse-glissette, eliminant of equations. 



M'Laren, (Lord). Edinb. E. S. P. 19 (1893) 



89-. 

 , elimination problem. Muir, T. Edinb. 



E. S. P. 19 (1893) 25-. 

 , . Nanson, E. J. Edinb. E. S. P. 22 



(1900) 158-. 

 , , symmetric solution. McLaren, 



(Lord). Edinb. E. S. P. 22 (1900) 379-. 

 Ellipses described by points in moving line. 



Breton [de Champ}, P. N. A. Mth. 5 (1846) 



591-. 

 as glissettes, and circular surface of 8th 



order. Vanecek, J. S., <& Vanecek, M. N. 



Par. S. Mth. Bll. 11 (1883) 76-. 

 Envelope of cone rolling on 2 developables. 



Blutel, . C. E. 108 (1889) 496-; Par. EC. 



Norm. A. 7 (1890) 155-. 



Envelope of sphere rolling on another sphere. 

 SveSnikov, P. Kazan S. Ps.-Mth. Bll. 5 

 (1896) 141-. 



Epicycloids. 



Johnson, E. F. Silliman J. 21 (1832) 280-. 

 Anon, (vi 879) N. A. Mth. 4 (1845) 83-. 

 Drach, S. M. Ph. Mg. 35 (1849) 487-. 

 Dieu, T. N. A. Mth. 19 (1860) 125-. 

 Fouret,G. (ix) Par. S. Phlm. Bll. 5 (1868) 80-. 

 Collignon, E. As. Fr. C. E. 6 (1877) 92-. 

 Svesnikov, P. I. Kazan S. Nt. (Ps.-Mth.) P. 8 



(1890) 374-. 



Morley, F. Am. J. Mth. 13 (1891) 179-. 

 and binomial theorem. Drach, S. M. Ph. 



Mg. 34 (1849) 444-, 520-. 



caustics by reflexion in circle etc. Quetelet, 

 L.A.J. Quetelet Cor. Mth. 5 (1829) 190-. 



centre of curvature. Mannheim, A. N. A. 



Mth. 18 (1859) 371-. 

 contact of loops. Sang, E. [1865] Edinb. E. 



S. T. 24 (1867) 121-. 

 , solution of Perigal's problem. Sang, E. 



[1865] Edinb. E. S. P. 5 (1866) 338-. 

 double generation. Fouret, (le It.) . N. A. 



Mth. 8 (1869) 162-. 

 general theory. Raabe, J. L. Crelle J. 1 



(1826) 289-. 

 and hypocycloids. Eckardt, F. E. Z. Mth. 



Ps. 15 (1870) 129- ; 18 (1873) 319-. 



. Wolstenholme, J. L. Mth. S. P. 4 

 (1871-73) 321-. 



, curves derived from. Barisien, E. N. 



G. Teix. J. Sc. 14 (1900) 121-. 

 and derived curves. Kiepert, L. Z. Mth. 



Ps. 17 (1872) 129-. 

 , polar reciprocals. Jefdbek, V. Mathesis 



19 (1899) 105-. 

 , quadrature. Baur, C. W. Schlomilch 



Z. 4 (1859) 311-. 



, tangential property. Jeffery, H. M. 

 [1882] E. S. P. 34 (1883) 105-. 



intersecting at constant angles, locus of vertices 



of tangents to. Loucheur, . N. A. Mth. 



11 (1892) 374-. 

 multisection of angle by. Leeuwen, J. H. van. 



N. Arch. Wisk. 7 (*1881) 213. 

 plane and spherical, centres of curvature. 



Olivier, T. Par. EC. Pol. J. cah. 23 (1834) 85-. 

 in space. Vanecek, J. S. [1880] Wien Ak. 



Sb. 83 (1881) (Ab. 2) 69-. 

 spherical. Hachette, J. N. P. Par. EC. Pol. 



Cor. 2 (1809-13) 22-. 



. Ruiz de Cardenas, A. G. Mt. 12 (1874) 313-. 

 , rectifiable. Jeffery, H. M. B. A. Ep. 



(1882) 453-. 

 , and their tangents. Hachette, J. N. P. 



Par. EC. Pol. Cor. 2 (1809-13) 87-. 

 tangent problems. Binder, W. Wien Ak. Sb. 



107 (1898) (Ab. 2a) 362-. 



Epi-ellipside (analogue to epicycloid), equation. 



Biermann, O. Mh. Mth. Ps. 8 U897) 87-. 

 Epi- and hypo-trochoids and allied curves, 



Pliickerian characteristics. Roberts, S. L. 



Mth. S. P. 4 (1871-73) 353-. 



VOL. I. 



593 



PP 



