T H E E L E M E N T S |
Book VI Proposition 20 | |
But, the whole angle ABC is also equal to the whole angle FGH because of the similarity of the polygons; therefore the reamining angle EBC is equal to the angle LGH. And, since, because of the similarity of the triangles ABE, FGL, as EB is to BA, so is LG to GF, and moreover also, because of the similarity of the polygons, as AB is to BC, so is FG to GH; therefore, ex aequali, as EB is to BC, so is LG to GH; [V.22] |
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