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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.34 Proposition I.34

In parallelogrammic areas the opposite sides and angles are equal to one another, and the diameter bisects the areas.

Proof

Apply I.29 and I.26 to the two triangles cut by the diameter, then Common Notion 2.

lines 74–74 in main.tex