Proposition Replicated

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.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.22

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)

I.3 I.20

PropositionProposition I.22

Outgoing (2)

I.23 XI.22

Full neighborhood

Depends on (2)

I.3Proposition I.3Given two unequal straight lines, to cut off from the greater a straight line equal to the less.
I.20Proposition I.20In any triangle two sides taken together in any manner are greater than the remaining one.

Required by (dependents) (2)

I.23Proposition I.23On a given straight line and at a point on it to construct a rectilineal angle equal to a given rectilineal angle.
XI.22Proposition XI.22If there be three plane angles of which two, taken together in any manner, are greater than the remaining one, and they…

Discussion

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