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 149
ter. 260. The polar equation to the rectangular hyper-bola, when the center is the origin and one of the axes the initial line, is r2 cos 26 = a2 a DS~20 or r2 = - 7r-fi a. Let OX, OYbe the axes; divide the right angleK6>Xinto a number of equal parts. Let XOA, A OB 130 GEOMETRIC EXERCISES be two… … Fig. 75- Now, the angles XOA and A OB being each 6,OB. a cos 26 And OA2=OG2=OB • CV= a a. cos 2^.-. ;-2cos2# = a2. 261. The points of trisection of a series of conter-minous circular arcs lie on branches of two hyperbolasof which the eccentricity is 2. This theorem affordsa means of trisecting an…
Geometry -- Study and teaching · Paper work
Internet Archive · University of Toronto, Robarts Library · Public Domain Mark 1.0. Free to use for anything.