Proposition Replicated
Proposition X.74
If from a medial straight line there be subtracted a medial straight line commensurable with the whole in square only, and containing with the whole a rational rectangle, the remainder is irrational; and let it be called first apotome of a medial.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.74
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (2)
Required by (dependents) (5)
- X.75Proposition X.75If from a medial straight line there be subtracted a medial straight line commensurable with the whole in square only,…
- X.80Proposition X.80Only one medial straight line can be annexed to a first apotome of a medial which is commensurable with the whole in…
- X.104Proposition X.104A straight line commensurable in length with an apotome of a medial is itself such an apotome of the same order.
- 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:…
- X.109Proposition X.109If from a medial area a rational area be subtracted, two other irrational straight lines arise, namely a first apotome…
Discussion
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