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Caption: Mathematical Models by Arnold Emch - Series 1 (1920) This is a reduced-resolution page image for fast online browsing.
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Linkages Linkages are articulated systems of bars which are connected by hinges or joints, and are deformable. In a pure linkage no sliding motion is admitted. Kempe, Darbonx, and others, tiave proved that all algebraic relations between afinitenumber of real or complex variables m a y be realized by linkages in the plane or in space. Thus, all algebraic curves m a y be generated by such linkages. 16. Hebbert's Cardioidograph. This is a comparatively very simple and elegant linkage by which the ordinary cardioid m a y be described. See American Mathematical Monthly, Vol. X X I I , pp. 12-13 (1915). 17. Mechanism illustrating cinematical description of certain rule surfaces. (Hebbert) 18. Cinematographic film of Poncelet polygon. Continuously appearing movement of a triangle remaining inscribed and circumscribed to twofixedcircles respectively* For further information apply to Arnold Emch, Associate Professor of Mathematics, University of Illinois, Urbana, Illinois. January, 1921
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