8420 Kinematic Geometry 



Isogonal and isologic transformation of plane 



figures. Tranum, A. N. A. Mth. 8 (1869) 



222-. 

 Orthogonal trajectories on plane and sphere. 



Roberts, M. Liouv. J. Mth. 10 (1845) 251-. 

 Osculation function, Zmurko's. Mertens, F. 



(xn) Krk. Ak. (Mt.-Prz.) Pam. 2 (1876) 



124-. 

 Question of limit in theory of surfaces. 



Lecornu, L. Bll. Sc. Mth. 16 (1892) 307-. 

 Real infinitesimals and infinite segments. 



Veronese, G, Mth. A. 47 (1896) 423-. 

 Surface elements of higher order in space of 



3 dimensions. Weber, E. von. Mth. A. 44 



(1894) 458-. 



dx* + dy* + dz* = \ (da 2 + dp? + dy*) . Liouville, 

 J. Liouv. J. Mth. 15 (1850) 103. 



8420 Kinematic geometry. 

 (See also Mechanics 0420.) 



Mannheim, A. Camb. Ph. S. P. 6 (1889) 



32-. 



Speckel, C. N. A. Mth. 11 (1892) 268-. 

 Nobile, V. N. A. Mth. 18 (1899) 218-. 

 Angle sliding along line, problem. Lamarle, E. 



Brux. Ac. Bll. 9 (1860) 127-, 361-. 



touching two curves, locus of vertex. En- 

 neper, A. Z. Mth. Ps. 16 (1871) 342-. 



Astroids, construction for tangents. Sucharda, 



A. Arch. Mth. Ps. 66 (1881) 321-. 

 , . Stammer, W. Arch. Mth. Ps. 



67 (1882) 222-. 

 , . Stall, (Dr) . Arch. Mth. Ps. 



67 (1882) 447-. 

 , . Ameseder, A. Casopis 14 (1885) 



46 ; Fschr. Mth. (1885) 713. 

 , . Sucharda, A. Casopis 14 (1885) 



138- ; Fschr. Mth. (1885) 714. 

 , curves parallel to. Loria, G. Mathesis 



20 (1900) 244-. 

 , . Neuberg, J. Mathesis 20 (1900) 



247-. 

 3-bar curves, triple generation. Clifford, W. K. 



L. Mth. S. P. 9 (1877-78) 26-. 



linkage, curves described by. Jensen, P. V. 

 (xn) Ts. Mth. 6 (1882) 154-. 



motion in plane. Roberts, S. [1875] L. 

 Mth. S. P. 7 (1875-76) 14-. 



7-bar pantograph of Delaunay. Somov, P. 0. 

 [1895] Vars. S. Nt. Tr. (1895-96) (C.R., 

 Ps. C.) No. 2, 5 pp. 



Cartesian oval treated kinematically. Cavalli, 

 E. Tor. Ac. Sc. At. 20 (1885) 1143-. 



Centre of curvature of Cassini's oval, expo- 

 nential curve, catenary, tractrix, logarithmic 

 and hyperbolic spirals, kinematic construc- 

 tion. Prochdzka, B. Prag Cesk6 Ak. Fr. 

 Jos. Bz. (Tfida 2) 4 (1895) Art. 8, 8 pp. ; 

 Fschr. Mth. (1896) 794. 



curves produced by motion of in- 

 variable figure in a plane. Seidelin, C.J.L. 

 (xn) Ts. Mth. 6 (1876) 57-. 



Descartes's oval, kinematic con- 

 struction for. ProcMzka, B. Casopis 24 



(1895) 230- ; Fschr. Mth. (1895) 621. 



Curve of Pursuit 8420 



Centres of curvature of curve rolling on straight 

 line. Mannheim, A. Liouv. J. Mth. 4 (1859) 

 93-. 



curves described by points in dis- 

 placed plane. Bobek, K. Prag Sb. (1880) 

 56-. 



and tangents of conic sections, kine- 

 matic construction for. Prochdzka, B. 

 Prag Cesk6 Ak. Fr. Jos. Ez. (Tfida 2) 3 

 (1894) Art. 19, 5 pp. ; Fschr. Mth. (1893-94) 

 955. 



of trajectories of points in moving 



figure. Marcolongo, R. Palermo Cir. Mt. 

 Bd. 7 (1893) 29-. 



Circle as roulette, curve represented by 

 elliptic functions. Lieblein,J. [1869] Prag 

 Ab. 3 (1870) 14 pp. 



Compound and reverse curves. Thornton, W. 

 M. A. Mth. 3 (1887) 39-. 



Cone rolling on plane, curve traced by plane 

 section. Schwering, K. Z. Mth. Ps. 25 

 (1880) 25-. 



Coordinates, "ideal" (for moving systems). 

 Hansen, P. A. Leip. B. (1851) 39-. 



Curvature of paths of points of rigid system 

 moving about fixed point. Minich, S. R. 

 Yen. At. (1859-60) 183-. 



plane curves treated kinematically. 

 Neuberg, J. Brux. Ac. Bll. 25 (1893) 374-, 

 848. 



surface generated by point of solid 



moving under conditions. Reveille, J. C. 

 B. 105 (1887) 159-. 



surfaces. Suslow, G. Fschr. Mth. (1890) 



868-. 



Curve of flight. Lehmus, . Crelle J. 1 (1826) 

 61-. 



, locus of intersection of 2 lines rotating 

 about 2 fixed points. Le Francois, (Prof.) 

 . Quetelet Cor. Mth. 5 (1829) 379-. 



Curve of pursuit. 



Querret, . Gergonne A. Mth. 13 (1822-23) 



389-. 



Burg, A. Wien Jb. Pol. I. 4 (1823) 508-. 

 Gosselin, (le col.) . Metz Mm. Ac. 40 (1858- 



59) 459-. 



Tychsen, C. Mth. Ts. 3 (1861) 33-. 

 Ingalls, J. M. Des Moines Anal. 7 (1880) 89-, 



117-. 



Cesdro, E. N. A. Mth. 2 (1883) 85-. 

 application. Dienger, J. Grunert Arch. 15 



(1850) 335-. 

 centre of curvature. Ocagne, M. d\ Par. S. 



Mth. Bll. 11 (1883) 134- . 

 equation, ratio of velocities being constant. 



Anon, (vi 882) N. A. Mth. 8 (1849) 91-. 

 generalisation. Barbour, L. G. Des Moines 



Anal. 6 (1879) 108-. 

 length. Ficklin, J. Am. As. P. 20 (1871) 



63-. 

 solution. Saint-Laurent, T. de. Gergonne 



A. Mth. 13 (1822-23) 145-. 



Sturm, J. C. F., & Saint-Laurent, T. de. 

 Gergonne A. Mth. 13 (1822-23) 289-. 



591 



