Proposition Replicated
Proposition I.41
If a parallelogram have the same base with a triangle and be in the same parallels, the parallelogram is double of the triangle.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.41
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige \and Claude \\
\small {(translation after Heath, 1908; encoding new, CC-BY-4.0)}·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (2)
Required by (dependents) (4)
- I.42Proposition I.42To construct, in a given rectilineal angle, a parallelogram equal to a given triangle.
- I.47Proposition I.47In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides…
- VI.1Proposition VI.1Triangles and parallelograms which are under the same height are to one another as their bases.
- VI.15Proposition VI.15In equal triangles which have one angle equal to one angle the sides about the equal angles are reciprocally…
Discussion
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