Generalizations and Related Results
Thales' theorem is a special case of the following theorem:
- Given three points A, B and C on a circle with center O, the angle AOC is twice as large as the angle ABC.
See inscribed angle, the proof of this theorem is quite similar to the proof of Thales' theorem given above.
A related result to Thales' theorem is the following:
- If AC is a diameter of a circle, then:
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- If B is inside the circle, then ∠ABC > 90°
- If B is on the circle, then ∠ABC = 90°
- If B is outside the circle, then ∠ABC < 90°.
Read more about this topic: Thales' Theorem
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