Proposition Replicated
Proposition III.27
In equal circles angles standing on equal circumferences are equal to one another, whether they stand at the centres or at the circumferences.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:III.27
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
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Depends on (3)
- III.20Proposition III.20In a circle the angle at the centre is double of the angle at the circumference, when the angles have the same…
- III.26Proposition III.26In equal circles equal angles stand on equal circumferences, whether they stand at the centres or at the circumferences.
- I.8Proposition I.8If two triangles have the two sides equal to two sides respectively, and have also the base equal to the base, they…
Required by (dependents) (3)
- III.29Proposition III.29In equal circles equal circumferences are subtended by equal straight lines.
- IV.11Proposition IV.11In a given circle to inscribe an equilateral and equiangular pentagon.
- 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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