# Finding Center of Circle/Porism

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## Porism to Finding Center of Circle

In the words of Euclid:

*From this it is manifest that, if in a circle a straight line cut a straight line into two equal parts and at right angles, the centre of the circle is on the cutting straight line.*

(*The Elements*: Book $\text{III}$: Proposition $1$ : Porism)

## Proof

See Perpendicular Bisector of Chord Passes Through Center, where the proof has been extracted from the proof given by Euclid.

## Sources

- 1926: Sir Thomas L. Heath:
*Euclid: The Thirteen Books of The Elements: Volume 2*(2nd ed.) ... (previous) ... (next): Book $\text{III}$. Propositions