Proof
Converse of III.28. Equal arcs give equal central angles (III.27),
and equal central angles in equal-radius triangles give equal
chords (I.4 SAS).
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Depends on (3)
- III.27Proposition III.27In equal circles angles standing on equal circumferences are equal to one another, whether they stand at the centres or…
- I.4Proposition I.4If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight…
- III.1Definition III.1Equal circles are those whose diameters are equal, or whose radii are equal.
Required by (dependents) (1)
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