Proposition Replicated
Proposition X.18
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 incommensurable in length, then the square on the greater will be greater than the square on the less by the square on a straight line incommensurable in length with the greater.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.18
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.16Proposition X.16If two incommensurable magnitudes be added together, the whole will also be incommensurable with each of them; and if…
- 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…
Discussion
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