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 61
angle AEK, AEi^ARi + KE? a2 a2 = T + ^(3-22) IN PAPER FOLDING 4i = ~- (4-21/2) « = _.(2_1/2). ..A£=j • l/2—i/2. 91. The altitude of the octagon is CE (Fig. 33).But CE* = AC2 — AE? = a*- £ • (2_i/2) = f!.(2 + 1/2). ^/^^// \x/^^V// K 0/ k\A / Fig. 33. .-. C£ = ^ I/2 + I/2. 92. The area of the octagon… … w Fig. 34- It is easily seen that EZ = WZ = a, the side of thesquare. XZ=a\/2;X£ = a(}/2 — l);XE = WH= WK;XX=a—a(y2 — l)= a (2—1/2). Now KZ* = ai + «2(1/2 — l)2 = a>(4 —2l/2).-. KZ=a 1/4 — 21/2.Also GE = XZ—2XE = av2 — 2a{V2 — \)= a(2 — V2). IN PAPER FOLDING 43 .-. H0=^ (2—l/2). Again 0Z=^V2,and…
Geometry -- Study and teaching · Paper work
Internet Archive · University of Toronto, Robarts Library · Public Domain Mark 1.0. Free to use for anything.