Proposition Replicated

Proposition I.26

If two triangles have the two angles equal to two angles respectively, and one side equal to one side, namely either the side adjoining the equal angles or that subtending one of the equal angles, they will also have the remaining sides equal to the remaining sides and the remaining angle equal to the remaining angle.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.26

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.4 I.16

PropositionProposition I.26

Outgoing (3)

I.34 III.3 IV.4

Full neighborhood

Depends on (2)

I.4Proposition I.4If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight…
I.16Proposition I.16In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and…

Required by (dependents) (3)

I.34Proposition I.34In parallelogrammic areas the opposite sides and angles are equal to one another, and the diameter bisects the areas.
III.3Proposition III.3If in a circle a straight line through the centre bisect a straight line not through the centre, it also cuts it at…
IV.4Proposition IV.4In a given triangle to inscribe a circle.

Discussion

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