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Elements of geometry, containing books I and II with exercises and notes (1882)

Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 113

An illustration from Elements of geometry, containing books I and II with exercises and notes, 1882, leaf 113
AD drawn from A tomeet BC makes equal angles with EF and BC. (i. 29.) This is a fact from which we can work backward, and arriveat the steps necessary for the solution of the problem ; thus ; Take any point D in BC, join AD, make z EAD^ l ADC,and produce EA to F: then EF must be parallel to BC. Ex.… … Then if EB be joined, z DBE= l FBE.This is a fact from which we can work backward, and deducethe necessary construction ; thus : Bisect z ABC by the straight line BE, meeting AC in E.Draw ED and EF parallel to BC and AB respectively.Then DBFE h. the rhombus required. (See Ex. 4, p. 59,) Books I.…

Geometry

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