Proposition Replicated

Proposition VI.27

Of all parallelograms applied to the same straight line and deficient by parallelogrammic figures similar and similarly situated to that described upon the half of the straight line, the greatest is that which is applied to the half and is similar to the deficient figure.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VI.27

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)

VI.20 VI.24 VI.26

PropositionProposition VI.27

Outgoing (1)

VI.28

Full neighborhood

Depends on (3)

VI.20Proposition VI.20Similar polygons are divided into similar triangles, equal in multitude and in the same ratio as the wholes; and the…
VI.24Proposition VI.24In any parallelogram the parallelograms about the diameter are similar both to the whole and to one another.
VI.26Proposition VI.26If from a parallelogram there be taken away a parallelogram similar and similarly situated to the whole and having a…

Required by (dependents) (1)

VI.28Proposition VI.28To a given straight line to apply a parallelogram equal to a given rectilineal figure and deficient by a…

Discussion

No replications, contradictions, or comments registered yet for this claim.