Proposition Replicated
Proposition X.1
Two unequal magnitudes being set out, if from the greater there be subtracted a magnitude greater than its half, and from that which is left a magnitude greater than its half, and if this process be repeated continually, there will be left some magnitude which will be less than the lesser magnitude set out.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.1
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Required by (dependents) (6)
- X.2Proposition X.2If, when the lesser of two unequal magnitudes is continually subtracted in turn from the greater, that which is left…
- XII.2Proposition XII.2Circles are to one another as the squares on the diameters.
- XII.5Proposition XII.5Pyramids which are of the same height and have triangular bases are to one another as their bases.
- XII.10Proposition XII.10Any cone is a third part of the cylinder which has the same base with it and equal height.
- XII.16Proposition XII.16Given two circles about the same centre, to inscribe in the greater circle an equilateral polygon with an even number…
- XII.18Proposition XII.18Spheres are to one another in the triplicate ratio of their respective diameters.
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