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 72
gure. 68. To escribe a square^ to any triangle, the sides beingproduced through a vertex of the triangle, and to prove thatthe rectangle under its side and the difference between thebase and altitude of the triangle is equal to twice the triangle. Let A BC be the given triangle, and let the side BC… … angled triangle DEE escribe the square HK (67), and produce GHto meet CA and BA produced in L and M respectively. Draw LRand MN perpendicular to KG. Thus LMNR is the requiredsquare, for LM and GH &re equal (62). Again, the rectangle under HE and the difference of EE andEE is equal to twice the…
Geometry
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