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<I> Book I, Proposition 1. On a given finite straight line to construct an equilateral triangle.
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I.1:3.  Let AB be the given finite straight line.
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I.1:7.  With centre A and distance AB let the circle BCD be described; [Post. 3]
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I.1:10. again, with centre B and distance BA let the circle ACE be described; [Post. 3]
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I.1:13. and from the point C, in which the circles cut one another, to the points A, B let the straight lines CA, CB be joined.  [Post. 1]
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I.1:26.  Therefore ... QEF.
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