Proposition Replicated

Proposition II.8

If a straight line be cut at random, four times the rectangle contained by the whole and one of the segments together with the square on the remaining segment is equal to the square described on the whole and the aforesaid segment as on one straight line.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:II.8

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (2)

II.1 II.4

PropositionProposition II.8

Outgoing (0)

none

Full neighborhood

Depends on (2)

II.1Proposition II.1If there be two straight lines, and one of them be cut into any number of segments whatever, the rectangle contained by…
II.4Proposition II.4If a straight line be cut at random, the square on the whole is equal to the squares on the segments and twice the…

Discussion

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