Proposition Replicated

Proposition VI.26

If from a parallelogram there be taken away a parallelogram similar and similarly situated to the whole and having a common angle with it, it is about the same diameter with the whole.

type · theoreticalevidence · argumentextracted by · author

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

VI.24 V.9

PropositionProposition VI.26

Outgoing (1)

VI.27

Full neighborhood

Depends on (2)

VI.24Proposition VI.24In any parallelogram the parallelograms about the diameter are similar both to the whole and to one another.
V.9Proposition V.9Magnitudes which have the same ratio to the same are equal to one another; and magnitudes to which the same has the…

Required by (dependents) (1)

VI.27Proposition VI.27Of all parallelograms applied to the same straight line and deficient by parallelogrammic figures similar and similarly…

Discussion

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