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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

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, 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,…

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