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Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ... draughtsmen .. (1897)

Willson, Frederick Newton, 1855-1939 · Princeton, N.J., The author · leaf 64

An illustration from Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ... draughtsmen .., 1897, leaf 64
a between thesinusoid and T D and D E equal tothe rectangle R E, or one-half the rect-angle D E K T; or to -, ir r x 3 r = IT r ^, the area of the rolling circle. As T A C E is but half of the entire sinusoid it is evident that the total area below the curveis twice that of the generating circle.… … * Wood. Elements of Co-ordinate Geometry, p. 209. 58 THEORETICAL AND PRACTICAL GRAPHICS. passing through the then position of the tracing point, as a, the distance, A a, between the twocurves at any level, is merely the semi-chord of the rolhng circle at that level. But this, evidently,equals Ms,…

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