Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 70
DBE are equal (constr.), therefore the angles BDE and DBE are equal,and therefore BE and ED are equal, therefore EF is a rhombus(I. 34). 65. To inscribe a square in any triangle, and to provethat the rectangle under its side and the sum of the base andaltitude of the triangle, is equal to twice the… … 66.] Inscribe (63) the square GK in the right-angled triangle EBF.Produce HG to meet AB and AGin L and M, and through L andM draw LR and MN perpendicu-lar to BC. Then LMNR is the re-quired inscribed square. Becausethe triangles ABC and BEF areon equal bases BC and EF, andbetween the same parallels,…
Geometry
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