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An elementary treatise on geometry : simplified for beginners not versed in algebra (1833)

Grund, Francis J. (Francis Joseph), 1805-1863 · Boston : Carter, Hendee & Co. · leaf 98

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GEOMETRY. 98 QUERY VI.i^, upon each of the three sides AB, AC^ BC, of anghtangled triangle ABC, you construct a square, whatrelation do the squares constructed upon the sides AC^BC, bear to the square constructed upon the hypothenusi^AB? … A. The square ABHK, constructed upon the hypothe-nuse AB, equals, in area, the two squares ACDE,BCGF, constructed upon the two sides AC, BC. Q. How can you prove it by this diagram, in whichthe perpendicular CM, is let fall from the vertex C, ofthe right-angled triangle ABC, upon the hypothenuseAB,…

Geometry, Plane

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