8420 



Kinematic Geometry Hypocycloids 8420 



Epitrochoid. Cayley,A. Mess. Mth. 20 (1891) 



150-. 

 Epitrochoidal surfaces, and generalisation of 



their properties. Svesnikov, P. Kazan S. 



Ps.-Mth. Bll. 1 (1891) 166-, 178- ; Fschr. 



Mth. (1891) 861. 

 Equations of configurations in n-dimensional 



space. Hatzidakis, N. J. C. B. 130 (1900) 



557-. 



curves, determination by kinematics. 

 Verdam, G. J. Grunert Arch. 11 (1848) 

 13-. 



Fan, construction and properties of new sort. 



Sylvester, J. J. L. Mth. S. P. 6 (1874-75) 



196-. 

 Formation of figures in affinity by similarly 



variable systems. Geisenheimer, L. Z. Mth. 



Ps. 24 (1879) 345-. 

 Generation of surfaces and volumes. Barbier, 



E. N. A. Mth. 19 (1860) 463-. 

 Geometrical problem solved by mechanics. 



Breton, P. Les Mondes 24 (1871) 339-. 



and statical theorems on pyramid, etc. 

 Grunert, J. A. Grunert Arch. 9 (1847) 353-. 



transformation with application in special 

 case to kinematics. Dewulf, E. Par. EC. 

 Norm. A. 3 (1886) 405-. 



Glissette, centre of curvature. Mannheim, A. 



Par. EC. Pol. J. 37" cah. (1858) 179-. 

 , curvature. Chasles, M. Liouv. J. Mth. 10 



(1845) 204-. 



derived from circle and straight line. Dewall, 

 (Oberst) von. Arch. Mth. Ps. 42 (1864) 

 65-. 



, rod sliding against 2 fixed lines. Unfer- 

 dinger.F. [1861] Wien SB. 45 (Ab. 2) (1862) 

 251-. 



of sides of square with two angular points 

 describing straight lines. Pomey, J. B. N. 

 A. Mth. 5 (1886) 520-. 



2-term oval + ~ = 1. M'Laren, 



a n b n 



(Lord). Edinb. B. S. P. 18 (1892) 83-. 

 Glissettes of ellipse and hyperbola. Tait, . 



Edinb. B. S. P. 17 (1891) 2-. 

 , formula. Besant, W. H. [1870] QJ. Mth. 



11 (1871) 38-. 

 Groups of movements. Jordan, C. C. B. 65 



(1867) 229- ; A. Mt. 2 (1868-69) 167-, 322-. 

 , continuous, of any configuration in 3 



dimensions. Eicci, G. C. B. 127 (1898) 



344-, 360r, 390. 

 Helicoidal velocities of solid, connections of 



which are defined by inequalities. Somov, 



P. O. Vars. S. Nt. Tr. (1895-96) (C. E., 



Ps. C.) No. 8, 5 pp. 

 Herpolhode in case of quadric surface. Sparre, 



(le comte) de. Brux. S. Sc. A. 9 (1885) 



(Pt. 2) 249-. 



of Poinsot, and an apparatus of Darboux 

 and Koenigs. Gilbert, P. Brux. S. Sc. A. 

 14 (1890) (Pt. 2) 25-. 



Hinged duplicator. Somov, P. O. Vars. S. 



Nt. Tr. (1900) (C. E., Ps. C.) No. 2, 1-. 

 Hyperboloid of jointed rods, and de Sparre's 



theorem. Mannheim, A. C. B. 102 (1886) 



501-. 



" Hypercycles " (geometry of direction). La- 

 guerre, E. C. B. 94 (1882) 778-, 832-, 933-, 

 1033-, 1160-. 



Hypocycloids. 



Eoot, 0. Camb. (M.) Mth. M. 1 (1859) 133-. 

 with 3 cusps. Steiner, J. Berl. Mb. (1856) 1-. 

 . Cremona, L. [1864] Crelle J. 64 



(1865) 101-. 

 . Clebsch, E.F.A. [1864] Crelle J. 



64 (1865) 124-. 

 . Painvin, L. [1865] N. A. Mth. 9 



(1870) 202-, 256-. 

 . Milinowski, . Z. Mth. Ps. 19 



(1874) 115-. 

 . Cahen, C. P. N. A. Mth. 14 (1875) 



21-. 

 . Kantor, S. Bll. Sc. Mth. As. 3 



(1879) (Pt. 1) 136-. 

 . Laguerre, E. Par. S. Mth. Bll. 7 



(1879) 108-. 

 . MacMaJwn, P. A. [1882] Mess. 



Mth. 12 (1883) 151-. 

 . Intrigila, C. G. Mt. 23 (1885) 



263. 

 . Serret, P. C. B. 125 (1897) 404-, 



423-, 445-, 459-. 

 . Ruffi.nl, F. P. [1900] Bologna Bd. 



5 (1901) 13-. 

 , connected with family of parabolas. 



Eupp, O. Mh. Mth. Ps. 4 (1893) 135-. 

 , construction. Stiner, G. Mh. Mth. 



Ps. 6 (1895) 372-. 



, envelope of pedal line of triangle, 

 Ferrers' theorem. Serret, P. N. A. Mth. 

 9 (1870) 73-. 



, Simson's line. Brocard, H. 



[1876] Par. S. Mth. Bll. 5 (1877) 18-. 

 , . Badoureau, A. N. A. 



Mth. 18 (1879) 33-. 

 , , proof of Steiner's theorem. 



Brocard, H. (ix) Par. S. Mth. Bll. 1 (1873) 



224-. 



, Feuerbach's circle, and the circum- 

 scribing hyperbolas of A. Fiedler, W. Ziir. 



Vjschr. 30 (1885) 390-. 

 , Steiner's problem, extension. Mac 



Mahon, P. A. [1882] Mess. Mth. 12 (1883) 



138-. 



, tangential geometry. Kantor, S. 

 [1878] Wien Ak. Sb. 78 (1879) (Ab. 2) 204-. 



4 cusps. Breton [de Champ], P. N. A. Mth. 

 4 (1845) 135-. 



. Wolfers, J. P. Grunert Arch. 25 



(1855) 109-. 



. M., J. Mathesis 14 (1894) 129-. 



, evolute. Graves, E. H. A. Mth. 4 



(1888) 36. 

 , and other curves. Bbklen, 0. Grunert 



Arch. 37 (1861) 105-. 



Infinitesimal angle between adjacent normals 

 and application to rolling of surfaces. Eesal, 

 H. C. B. 114 (1892) 381-, 700. 



Instantaneous centre and its geometrical appli- 

 cations. Habich, E. Les Mondes 18 (1868) 

 709-, 750- ; 19 (1869) 29-, 121-. 



594 



