Proposition Replicated
Proposition X.17
If there be two unequal straight lines, and to the greater there be applied a parallelogram equal to the fourth part of the square on the less and deficient by a square figure, and if it divide it into parts which are commensurable in length, then the square on the greater will be greater than the square on the less by the square on a straight line commensurable in length with the greater.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.17
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (3)
- VI.28Proposition VI.28To a given straight line to apply a parallelogram equal to a given rectilineal figure and deficient by a…
- X.14Proposition X.14If four straight lines be proportional, and the square on the first be greater than the square on the second by the…
- X.15Proposition X.15If two commensurable magnitudes be added together, the whole will also be commensurable with each of them; and if the…
Required by (dependents) (2)
Discussion
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