Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)
Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 99
^ C; I. 47. .*. sq. on AC is less than sum of sqq. on AB, BChj twicerect. BC, BD. The case, in which the perpendicular 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 equal to twice the sum of the squares on half thebase and on… … Let A be the given rectil. figure.It is reqd. to describe a square that shall=A. Describe the rectangular £7 BCDE=A. I. 45.Then if BE=ED tlie O BCDE is a square,and what was reqd. is done. But if BE be not=ED, produce BE to F, so that EF=ED.Bisect BF in G ; and with centre G and distance…
Geometry · Geometry, Plane
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
