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Source — Euclid's Elements, encoded as an rrxiv paper — rrxiv

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Source — Euclid's Elements, encoded as an rrxiv paper

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I.2 Proposition I.2

To place at a given point (as an extremity) a straight line equal to a given straight line.

Proof

Apply I.1 to obtain an equilateral triangle; produce its sides (Postulate 2); describe a circle with centre at one endpoint of the given segment cutting one of the produced sides; the cut-off equals the given segment by Definition I.15 and Common Notion 1.

lines 74–74 in main.tex