8420 



Kinematic Geometry 



Roulettes 8420 



Quadrangle, differential relation between sides. 



Cayley, A. Mess. Mth. 6 (1877) 99-. 

 "Kadial" curves (derived from curve and its 



evolute). Tucker, R. [1865] L. Mth. S. P. 



1 (1866) No. 5, 7 pp. 

 Eadius of curvature of curve described by point 



of moving figure. Saint Loup, L. N. A. 



Mth. 12 (1873) 113-. 



Eeal surfaces denned by J0 , 9 = 0. Mmt- 

 a j u au-S 



cheuil, de. Par. S. Mth. Bll. 27 (1899) 

 114-. 



Rolling cone, envelope of connected cone. 

 Hennessy, H. Ir. Ac. P. 7 (1861) 361-. 



motion of spheres, solution of problem. 

 Siverly, W. Des Moines Anal. 2 (1875) 

 195-. 



, . Adcock, R. J. Des 



Moines Anal. 3 (1876) 61-, 129-. 



, . Hill,G.W. Des Moines 



Anal. 3 (1876) 92-. 



of plane curves. Lundberg, E. Ups. Arsk. 

 (1874) (Mth.) (No. 3) 31 pp. 



solid bounded by cylinder on horizontal 



plane. Hoppe, R. Arch. Mth. Ps. 66 (1881) 



213-. 

 tangent surface on horizontal 



plane. Hoppe, R. Arch. Mth. Ps. 66 (1881) 



373-. 

 surfaces. Resal, H. C. E. 100 (1885) 



260-. 

 on one another. Hoppe, R. Arch. 



Mth. Ps. 60 (1877) 159-. 

 . Cosserat, E. C. E. 121 



(1895) 935-. 

 Eotation axes, loci in theory. Zancevskij, I. 



N. Es. S. Nt. Mm. (Mth.) 14 (1892) i-, 1-. 

 , geometrical theory. Donkin, W. F. Ph. 



Mg. 1 (1851) 187-. 

 , infinitely small, proof of theorems by. 



Mannheim, A. C. E. 78 (1874) 633-. 

 , representation without projecting on plane 



perpendicular to axis. Fialkou-ski, N. Wien 



SB. 21 (1856) 181-. 

 Eotations and homographies, correspondence. 



Cayley, A. Mth. A. 15 (1879) 238-. 

 , spherical. Stephanos, C. Mth. A. 22 (1883) 



299-. 



Roulettes. 



Holditch, H. [1838] Camb. Ph. S. T. 7 (1842) 



61-. 

 Lentheric, . Mntp. Ac. PV. (1850-51) 30-, 



34-, 37-; Mntp. Ac. Sc. Mm. 2 (1851-54) 1-, 



315-. 



Sacchi, G. N. A. Mth. 2 (1863) 172-. 

 Purser, F. QJ. Mth. 7 (1866) 129-. 

 Aoust, (Vabbg) . C. E. 70 (1870) 978-. 

 Habich, E. (xn) Mathesis 2 (1882) 145-. 

 Gossot, (le capit.) F. Ev. Mar. et Col. 89 (1886) 



319-. 

 case. Lane, A. V. Am. J. Mth. 8 (1886) 



132-. 



centres of curvature. Hadamard, . Bor- 

 deaux S. Sc. Mm. 5 (1895) xxxvii-. 

 for conic on other curves. Ekama, H. Arch. 



Mth. Ps. 8 (1890) 388-. 



Descartes's theorem. Frenet, F. N. A. Mth. 



13 (1854) 299-. 

 described by conic. Ekama, H. N. Arch. Wisk. 



3 (1898) 175- ; Fschr. Mth. (1897) 525. 

 generalisation of theorem of Delaunay. Saint- 

 Germain, A. de. Bll. Sc. Mth. 17 (1893) 



110-. 



generated by rolling circle, orthogonal trajec- 

 tories. Breton, P. [1861] (xn) Isere S. 



Bll. 7 (Livr. 3 & 4) (1867) 346-. 

 geometrical transformation applicable to. De- 



moulin, A. Brux. Mm. Cour. 8, 45 (1891) 



No. 3, 35 pp. 

 nomenclature for. Willson, F. N. Am. As. 



P. (1887) 59-. 

 and pedal curves. Catalan, E. C. Brux. Ac. 



Bll. 27 (1869) 144-. 

 plane. Hennig, R. [1864] Crelle J. 65 (1866) 



52-. 

 and polar paths of plane kinematic systems. 



Sellentin, R. Z. Mth. Ps. 28 (1883) 116-. 

 problems, inverse. Chrystal, G. Edinb. Mth. 



S. P. 5 (1887) 38-. 

 quadrature. Orlov, T. E. [1883] (xn) Eec. 



Mth. (Moscou) 11 (1883-84) 457-; Fschr. 



Mth. (1884) 764. 

 rectification. Steiner, J. Berl. Ab. (1838) 



19-. 

 and rolling surfaces. Pirondini, G. G. Mt. 



26 (1888) 352-. 

 skew. Laurent, H. Par. S. Mth. Bll. 2 (1874) 



theorem. Lamarle, E. Brux. Ac. Bll. 4 (1858) 



239-. 



. Serret, P. N. A. Mth. 18 (1859) 341-. 

 attributed to de La Hire. Le Paige, C. Bb. 



Mth. (1887) 109. 

 . Curtze, M. Bb. Mth. (1888) 65-; 



(1895) 33-. 

 theory. Maxwell, J. C. Edinb. E. S. T. 16 



(1849) 519-. 

 . Catalan, E. C. N. A. Mth. 15 (1856) 



102-. 



. Mannheim, A. L'l. 26 (1858) 69. 

 . Cesdro, E. N. A. Mth. 7 (1888) 209-. 



Euled mechanics. Saussure, R. de. C. E. 123 

 (1896) 796-. 



surface traced by line forming part of in- 

 variable moving system. Rouquet, V. [1900] 

 Toul. Ac. Sc. Mm. 1 (1901) 9-. 



Eunners, problem. Manderlier, . Quetelet 



Cor. Mth. 2 (1826) 199-. 

 Skew curves, 3rd degree, analogue of helicoidal 



motion. Appell, P. C. E. 82 (1876) 70-; 



Par. EC. Norm. A. 5 (1876) 245-. 

 Sphere sliding or rolling on horizontal plane. 



Resal, H. N. A. Mth. 11 (1872) 193-. 

 Spherical cycloidal and trochoidal curves. 



Je/ery, H. M. [1882] QJ. Mth. 19 (1883) 



44-. 



loop line (tortuous curve). Schiffner, F. 

 Arch. Mth. Ps. 5 (1887) 160-. 



( ). Janisch, E. Arch. Mth. 



Ps. 8 (1890) 184-, 334-; 9 (1890) vn ; 10 

 (1891) vn. 



597 



