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 97
ore EB : EA :: FH : FA, or alternately, EB : FH :: EA : FA. Similarly, from the similar trianglesAFG, AED, ED : FG :: EA : FA. But ratios which are the same withthe same ratio are the same with oneanother, therefore EB : FH :: ED : FG, and EB and ED are equal, therefore FH and FG are equal. In the… … 103.] AND IN MODERN GEOMETRY. 69 I> 102. Straight lines are drawn from a given point to agiven indefinite straight line and cut in a given ratio ; find thelocus of the points of section. Let A be the given point, and BC the given indefinite straightline. Draw AB perpendicular to BC (orany line…
Geometry
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