Proposition Replicated
Proposition XIII.6
If a rational straight line be cut in extreme and mean ratio, each of the segments is the irrational straight line called apotome.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XIII.6
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 (3)
- X.73Proposition X.73If from a rational straight line there be subtracted a rational straight line commensurable with the whole in square…
- II.11Proposition II.11To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the…
- XIII.1Proposition XIII.1If a straight line be cut in extreme and mean ratio, the square on the greater segment added to the half of the whole…
Required by (dependents) (2)
Discussion
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