Perpendicular Bisector of Chord Passes Through Center/Historical Note
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Historical Note on Perpendicular Bisector of Chord Passes Through Center
The argument for this particular result originates from Proposition $1$ of Book $\text{III}$ of Euclid's The Elements.
However, the result itself is due to Augustus De Morgan, who reasoned that this result was more fundamental.
This theorem is the converse of Proposition $3$ of Book $\text{III} $: Conditions for Diameter to be Perpendicular Bisector.
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{III}$. Propositions