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Proposition·Untested·2605.00009

Proposition I.22

Out of three straight lines, which are equal to three given straight lines, to construct a triangle: thus it is necessary that two of the straight lines taken together in any manner should be greater than the remaining one.

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Proof

Apply I.20 (the necessity), then I.3 and Postulate 3 (the construction).

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Full neighborhood

Depends on (3)

Required by (dependents) (2)

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