Line at Right Angles to Diameter of Circle/Porism
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Theorem
In the words of Euclid:
- From this it is manifest that the straight line drawn at right angles to the diameter of a circle from its extremity touches the circle.
(The Elements: Book $\text{III}$: Proposition $16$ : Porism)
Proof
Follows directly from Line at Right Angles to Diameter of Circle.
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{III}$. Propositions