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by Aethaeryn
5118 days ago
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I'm actually surprised by the lack of rigor in many of the sources I checked. It's obvious that b != 0 is necessary because otherwise you can't get results like line segments having an infinite number of points, and hence equal to the amount of points in a line.[1] The thing is, a lot of common references seem to leave out that the endpoints can't be equal.[2] It's so obvious that it's just implied, but it's dangerous to treat mathematics like that! ----- [1] http://mathworld.wolfram.com/LineSegment.html [2] Just saying 'two distinct endpoints' instead of 'two endpoints' would work, so it's literally just one word that makes a big difference! |
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