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Plane geometry, with problems and applications (1910)

Slaught, H. E. (Herbert Ellsworth), 1861-1937, Lennes, N. J. (Nels Johann), 1874- joint author · Boston, Allyn and Bacon · leaf 177

An illustration from Plane geometry, with problems and applications, 1910, leaf 177
164 PLANE GEOMETRY. 323. Theorem. The areas of two similar polygonsare in the same ratio as the squares of any two corre-sponding sides or any two corresponding diagonals. -Ac … Outline of Proof: Let I, II, ••■, I, II, •••areas of pairs of similar triangles. I _^II _III ^IVI II III IV I +11 +III +IV _ II+ II+ III+ IV IABCDEF I AB Show (1)(2)(3) stand for the (§ 271.) (By §321.) (By § 268.)BC^ abcdefGive the proof in detail. 324. I AB BC EXERCISES. 1. Verify the above…

Geometry, Plane

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