Proposition Replicated

Proposition VI.8

If in a right-angled triangle a perpendicular be drawn from the right angle to the base, the triangles adjoining the perpendicular are similar both to the whole and to one another.

type · theoreticalevidence · argumentextracted by · author

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

I.32 VI.4 V.11

PropositionProposition VI.8

Outgoing (2)

VI.13 VI.31

Full neighborhood

Depends on (3)

I.32Proposition I.32In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles,…
VI.4Proposition VI.4In equiangular triangles the sides about the equal angles are proportional, and those are corresponding sides which…
V.11Proposition V.11Ratios which are the same with the same ratio are also the same with one another.

Required by (dependents) (2)

VI.13Proposition VI.13To two given straight lines to find a mean proportional.
VI.31Proposition VI.31In right-angled triangles the figure on the side subtending the right angle is equal to the similar and similarly…

Discussion

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