Proposition Replicated
Proposition X.76
If from a straight line there be subtracted a straight line incommensurable in square with the whole, which with the whole makes the squares on them added together rational, but the rectangle contained by them medial, the remainder is irrational; and let it be called minor.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.76
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Required by (dependents) (5)
- X.77Proposition X.77If from a straight line there be subtracted a straight line incommensurable in square with the whole which with the…
- X.82Proposition X.82Only one straight line can be annexed to a minor.
- X.105Proposition X.105A straight line commensurable with a minor is itself a minor.
- X.108Proposition X.108If from a rational area a medial area be subtracted, the side of the remaining area arises as one of four irrationals:…
- XIII.11Proposition XIII.11If in a circle which has its diameter rational an equilateral pentagon be inscribed, the side of the pentagon is the…
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