Proposition Replicated
Proposition III.20
In a circle the angle at the centre is double of the angle at the circumference, when the angles have the same circumference as base.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:III.20
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 (2)
Required by (dependents) (6)
- III.21Proposition III.21In a circle the angles in the same segment are equal to one another.
- III.26Proposition III.26In equal circles equal angles stand on equal circumferences, whether they stand at the centres or at the circumferences.
- III.27Proposition III.27In equal circles angles standing on equal circumferences are equal to one another, whether they stand at the centres or…
- III.31Proposition III.31In a circle the angle in the semicircle is right, that in a greater segment less than a right angle, and that in a less…
- III.32Proposition III.32If a straight line touch a circle, and from the point of contact there be drawn across, in the circle, a straight line…
- VI.33Proposition VI.33In equal circles angles have the same ratio as the circumferences on which they stand, whether they stand at the…
Discussion
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