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 38
lie on these lines. 51. ABCD being the given square piece of paper(Fig. 18), it is required to obtain by folding, the pointX in AB, such that the rectangle AB-XB is equal tothe square on AX. Double BC upon itself and take its mid-point E. Fold through E and A. Lay EB upon EA and fold so as to get… … Fig. 18. Now, because BY is bisected in F and producedto A, AB-AY^rFYi = AF^, by § 49, = AG2-\-FG2, by § 44..-. AB-AY=AG1,= AX2.But ^X2=4-XJ/2 = ^F2. 2o GEOMETRIC EXERCISES .-. AX=BYand AY=XB. .-. ABXB = AX2. AB is said to be divided in X in median section.* Also AB-AY=BY*, i. e., AB is also…
Geometry -- Study and teaching · Paper work
Internet Archive · University of Toronto, Robarts Library · Public Domain Mark 1.0. Free to use for anything.
