Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 28
Shew that we can prove this Proposition by meansof Prop. IV. and Prop. A., without applying Prop. C. Ex. 2. If the equilateral triangle, employed in the construc-tion, be described with its vertex towards the given angle :shew that there is one case in which the construction will fail,and two in… … Let AB be the given st. line.It is reguired to bisect AB. On AB describe an equilat. aACB. I. 1. Bisect z ACB by the st. line CD meeting AB in D ; I. 9.then AB shall be bisected in D. For in /\s ACD, BCD,v AC=BC, and CD is common, and z ACD= l BCD, .-. AD^BD ; I. 4. .*. AB is bisected in D. Q. E.…
Geometry
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