Proposition Replicated

Proposition VI.6

If two triangles have one angle equal to one angle and the sides about the equal angles proportional, the triangles will be equiangular and will have those angles equal which the corresponding sides subtend.

type · theoreticalevidence · argumentextracted by · author

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

Incoming (4)

I.4 I.23 VI.4 VI.5

PropositionProposition VI.6

Outgoing (2)

VI.7 VI.32

Full neighborhood

Depends on (4)

I.4Proposition I.4If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight…
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.
VI.4Proposition VI.4In equiangular triangles the sides about the equal angles are proportional, and those are corresponding sides which…
VI.5Proposition VI.5If two triangles have their sides proportional, the triangles will be equiangular and will have those angles equal…

Required by (dependents) (2)

VI.7Proposition VI.7If two triangles have one angle equal to one angle, the sides about other angles proportional, and the remaining angles…
VI.32Proposition VI.32If two triangles having two sides proportional to two sides be placed together at one angle so that their corresponding…

Discussion

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