Diagonals of an ellipse

I have been watching Norman Wildberger’s videos on all things mathematics for about 10 years. To say that I have learned a lot is the understatement of the decade.

His most recent video is a recorded talk from July this year titled “How Chromogeometry transcends Klein’s Erlangen Program for Planar Geometries”. It is fascinating throughout but my interest was piqued when at 25:13 he starts talking about ellipses.

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Pen and paper

At the start of my vacation I closed my laptop and went back to pen and paper. To get at the heart of things, nothing beats an empty sheet of paper and a clear schedule. I spent many weeks drawing objects and scenes, and deriving geometrical formulas with pen and paper. Don’t get me wrong, I am devoted to my computer and the internet. I would be totally lost without them. But each and every day, I spend my energetic and creative hours sketching and scribbling on paper.

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Watching geometry on YouTube

I am not a mathematician. During my training as a physicist I developed some competence in fields like geometry, algebra, and calculus, but I do not have the ability to create mathematics. I even find it really hard to read the mathematical literature. So I am probably missing out on exciting methods that may be useful for my present research in computer vision.

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