The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)
Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 82
mities of the base to the sides, the parallelo-grams A G and C F formed by the segments C D, A E, with the sidesof the squares, will be together equal to the square of the base A C. For draw A H and B I; and also B K perpendicular to A C. The parallelograms K C and C F are proved equal, exactly asC… … K. I K I If the triangle be right angled at B, the lines G E and D F willcoincide with the sides of the squares, and the proposition will becomethe XLVIIth. (215) If B be acute the perpendiculars A D and C E will fall withinthe triangle, and the parallelograms A G and C F are less than thesquares…
Geometry
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