Proposition Replicated

Proposition I.21

If on one of the sides of a triangle, from its extremities, there be constructed two straight lines meeting within the triangle, the straight lines so constructed will be less than the remaining two sides of the triangle, but will contain a greater angle.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.21

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.16 I.20

PropositionProposition I.21

Outgoing (0)

none

Full neighborhood

Depends on (2)

I.16Proposition I.16In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and…
I.20Proposition I.20In any triangle two sides taken together in any manner are greater than the remaining one.

Discussion

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