The book Plane Geometry was written by author C a Clara Avis Hart Here you can read free online of Plane Geometry book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Plane Geometry a good or bad book?
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Construct a triangle similar to a given triangle and having an area twice as great. Ex. 874. Divide a given triangle into two equivalent parts by a line parallel to the base. Ex. 875. Prove Prop. X by using 487. Ex. 876. Draw a line parallel to the base of a triangle and cutting off a triangle that shall be equivalent to one third of the given triangle. Ex. 877. In two similar triangles a pair of homologous sides are 10 feet and 6 feet, respectively. Find the homologous side of a similar tri- a...ngle equivalent to their difference. - Ex. 878. Construct an equilateral triangle whose area shall be three fourths that of a given square. PROPOSITION XI. THEOREM \ 505. Two similar polygons are to each other as the squares of any two homologous sides. Given two similar polygons P and P f in which a and a', b and b', etc. , are pairs of homol. Sides. P a 2 To prove -=-. BOOK IV 231 ARGUMENT 1. Draw all possible diagonals from any two homol. Vertices, as y and V'. 2. Then the polygons Will be divided into the same number of A ^ each to each and similarly placed, as A 1 and A I', A II and A II', etc.
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