No calculus. Not even any algebra. This is a response to Dr. Peyam's (@DrPeyam) recent video in which he solved a problem involving a circle and a parabola. We take a different approach, using synthetic geometry, similar to that in Euclid's Elements.
Dr. P's solution: https://youtu.be/QOAvud6I-f4
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https://www.youtube.com/watch?v=HxlZwZ0L3l4