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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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IX.29 Proposition IX.29

If an odd number by multiplying an odd number make some number, the product will be odd.

Proof

(2 k + 1) (2 m + 1) = 4 k m + 2 k + 2 m + 1

, which is odd (one more than even).

lines 74–74 in main.tex