Today's tasks are...
Review all the corrections and updates Dad has sent me for his epic exposition on Pythagorean triangles, and attempt to figure out which is the best version of the main doc to put them into. It's a task I am very happy to help him with, or at least willing, but it's quite tricky given that the maths rapidly gets *way* beyond me (just too many
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What I actually did was discover some typos in Dad's proof and then get muddled up by an entirely unnecessary proof by induction that he had introduced, then sit down and prove to my own satisfaction that of course the sides of a Pythagorean Triple (right angle triangle with integer sides, and the sides have no common factor) must be short sides even, odd, with the long side odd. And reached the bonus conclusion that the even short side must be a multiple of 4, not just 2.
Then my mum phoned.
And there went my day.
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