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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 345
,...Z m in number. Then Z, the last remainder, must be less than B. For if not, since each of the preceding remainders is greaterthan Z, each of them would be greater than B, and the sum of C,D Z would therefore be greater than mB ; that is, A would be greater than mB, which is contrary to the… … Let ABCDE, FGHKL be similar polygons inscribed in two© s, and let BM and GN be diameters of the © s. Then must polygon ABCDE he to polygon FGHKLas sq. on BM is to sq. on GN. Join AM, BE; FX, GL. Then a BAE is equiangular to A GFL. VI. 21. .-. z AEB = L FLG.But 2 AMB= L AEB, in the same segment,…Geometry · Geometry, Plane
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