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Proposition·Untested·2605.00009

Proposition XIII.3

If a straight line be cut in extreme and mean ratio, the square on the lesser segment added to the half of the greater segment is five times the square on the half of the greater segment.

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Proof

Apply II.6 / II.11 to the lesser-segment configuration; algebraic analogue of XIII.1.

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Full neighborhood

Depends on (2)

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