Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 99
on ^0; • I. 47. .. sq. on J. C is less than sum of sqq. on AB, BC by twicerect. BC, BD. The case, in which the perpendicukr AD coincides with AC,needs no proof. Q. E. D. Ex. Prove that the sum of the squares on any two sides ofa triangle is equalto twice the sum of the sc{uares on half thebase and… … Let ^-1 be the given rectil. figure.It is reqd. to describe a square that shall=A. Describe the rectangular /Z7 BCDE=A. I. 45. Then if BE=ED tlie £7 BCDE is a square,and what was reqd. is done. But if BE be not=i;D, produce BE to F, so that EF=ED.Bisect BF in G ; and with centre G and distance…
Geometry
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