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T. Sundara Row's geometric exercises in paper folding. Edited and rev. by Wooster Woodruff Beman and David Eugene Smith (1901)

Sundara Rao, Tandalam, 1853-, Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Chicago Open Court Pub. Co · leaf 147

An illustration from T. Sundara Row's geometric exercises in paper folding. Edited and rev. by Wooster Woodruff Beman and David Eugene Smith, 1901, leaf 147
is the transverse axis. This corresponds to the equation • =£(&« + *), where the origin is at the right-hand vertex of thehyperbola. Fig. 74 shows how points on the curve may befound by the application of this formula. Let C be the center and A the vertex of the curve. 128 GE OME TRIC EXER… … Fig. 74- Then P is a point on the curve.For, since DN is tangent to the circle on thediameter AA DN1 = AN- (2CA + AN),or since QN=DN, QN* = x{2a + x). IN PAPER FOLDING. 129 QN PN x(2a -f x) ACa2 f b2 Squaring, b2or y2 == —r2 (2ax -\- x2). If QN=b then N is the focus and CD is one ofthe asymptotes.…

Geometry -- Study and teaching · Paper work

Internet Archive · University of Toronto, Robarts Library · Public Domain Mark 1.0. Free to use for anything.

More pictures from T. Sundara Row's geometric exercises in paper folding. Edited and rev. by Wooster Woodruff Beman and David Eugene Smith

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