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 96
00.] AND IN MODERN GEOMETRY. 67 Let ABC be the given triangle, D, E, F the middle points ofits sides. Suppose BGHL the required escribed parallelogram,and complete the other parallelograms as in the figure. CX and CY are equal (I. 43), and DG and CFare on equalbases BD, DC and between the same… … the given triangle; therefore the area of the parallelogramAT is known, for it exceeds the given area by half the given tri-angle. Therefore construct (VI. 25) a triangle similar to ABC, andsuch that double its area shall be equal to the given area, togetherwith half the given triangle. From E, the…
Geometry
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