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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 184

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gles are equal to one another; conse-quently the area of the trapezoid ABGH (composed of the quadri-lateral ABG^ and the triangle BtH) is equal to the area of thetriangle ABE (composed of the same quadrilateral ABGt andthe equal triangle GtE), which proves the correctness of con-struction 3.… … Solution. Let ABCD be the given trapezoid whichis to be divided into three equal parts. 1. Upon AB, the greater of the two parallel sides, de-scribe a semicircle ; draw DE parallel to CB; and fromB, with the radius BE, describe the arc of a circle, EF,cutting the semicircle in F. 2. From F draw FG…

Geometry, Plane

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