Proposition Replicated

Proposition VI.28

To a given straight line to apply a parallelogram equal to a given rectilineal figure and deficient by a parallelogrammic figure similar to a given one; thus the given rectilineal figure must not be greater than the parallelogram described on the half of the straight line and similar to the defect.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VI.28

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.25 VI.27

PropositionProposition VI.28

Outgoing (3)

VI.29 X.17 X.18

Full neighborhood

Depends on (2)

VI.25Proposition VI.25To construct one and the same figure similar to a given rectilineal figure and equal to another given rectilineal…
VI.27Proposition VI.27Of all parallelograms applied to the same straight line and deficient by parallelogrammic figures similar and similarly…

Required by (dependents) (3)

VI.29Proposition VI.29To a given straight line to apply a parallelogram equal to a given rectilineal figure and exceeding by a…
X.17Proposition X.17If there be two unequal straight lines, and to the greater there be applied a parallelogram equal to the fourth part of…
X.18Proposition X.18If there be two unequal straight lines, and to the greater there be applied a parallelogram equal to the fourth part of…

Discussion

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