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 147
118 EXERCISES ON EUCLID [157. The learner should be careful to use the same letters at tltecorresponding points of the figures, since, in this way, he willgenerally find it easy to deduce one case of a proposition fromanother. 157. Through a given point, to draw a straight lineso as to form with… … Since the area of the triangle ABC and its vertical angle BACare given, therefore (84) the rectangle under its sides AB and ACis known. Join AP, and draw AD making the angle BAD equal toCAP, and make the rectangle AP. AD equal to AB . AC. JoiuDB, DP, DC. Because AB. AC = AD . AP (constr.),…
Geometry
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