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" ABC be a triangle, and DE a straight line drawn parallel to the base BC ; then will AD : DB : : AE : EC. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 72
by Euclides - 1860
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Report of the Secretary for Public Instruction ..., Volume 40

Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...Areas of triangles of equal altitude are to one another as their bases. Prove by this theorem that if a line be drawn parallel to the base of a triangle ABC, cutting the sides in I) and E, and the points B, E, and C, I > be joined, then AD AE , AB AC BD...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...Ex. 51. In the figure for Ex. 50, if AD intersects CE at O, prove A AEO is similar to A CDO. Ex. 52. If a line be drawn parallel to the base of a triangle intersecting the other two sides, the triangle formed is similar to the given triangle. 278. Homologous...
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