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Chords and the Center

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Explanations 1

Let's say I have a circle ω\omegaω with center OOO. And a chord ABABAB. Now make a perpendicular line from OOO to ABABAB You've guessed it! If we have a chord ABABAB in a circle…
By Hanissa Shamsuddin, Rajiv Movva, Alex Federspiel

Problems 1

It turns out there are now only two precise spots it can be! Both possible spots are a certain distance away from the point halfway between A and B, along a direction perpendicu…