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 153
Fig. 77- 134 GEOMETRIC EXERCISES Let OA be the longer of the two lines of whichtwo geometric means are required. Bisect OA in B; with O as a. center and OB as aradius describe a circle. Place a chord BC in thecircle equal to the shorter of the given lines. DrawAC and produce AC and BC to D and E,… … Fig. 78. Then i?/? and CE are the two mean proportionalsrequired. Let OE cut the circles in E and G.By Menelauss Theorem,* BCED OA=CE-OD-BA.-. BC-OA=CE-OD BC OD°rCE = OA BE OB-\-OA GE C£~ OA ~ ~~ ~0A *See Beman and Smiths New Plane and Solid Geometry, p. 240. IN PA PER FOLDING. 13 5 But GEEF=BEEC.…
Geometry -- Study and teaching · Paper work
Internet Archive · University of Toronto, Robarts Library · Public Domain Mark 1.0. Free to use for anything.
