Talk:Necessary and sufficient: Difference between revisions

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imported>Boris Tsirelson
(→‎Circle: new section)
imported>Peter Schmitt
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"A circle (in the plane) is usually defined as a curve such that its points all have the same distance from a given point" — a bit problematic; say, half a circle, is it also a circle? It IS "a curve such that its points all have the same distance from a given point", isn't it? [[User:Boris Tsirelson|Boris Tsirelson]] 10:05, 2 February 2010 (UTC)
"A circle (in the plane) is usually defined as a curve such that its points all have the same distance from a given point" — a bit problematic; say, half a circle, is it also a circle? It IS "a curve such that its points all have the same distance from a given point", isn't it? [[User:Boris Tsirelson|Boris Tsirelson]] 10:05, 2 February 2010 (UTC)
: True, of course. I wanted to keep this colloquial, and there this distinction is usually not made. (It holds for both characterizations.) And since I did not think of the formulation I found now ...
: By the way: Boris, do you think (agree) that this topic is worth a page (for non-mathematicians) like this?
: --[[User:Peter Schmitt|Peter Schmitt]] 10:36, 2 February 2010 (UTC)

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Circle

"A circle (in the plane) is usually defined as a curve such that its points all have the same distance from a given point" — a bit problematic; say, half a circle, is it also a circle? It IS "a curve such that its points all have the same distance from a given point", isn't it? Boris Tsirelson 10:05, 2 February 2010 (UTC)

True, of course. I wanted to keep this colloquial, and there this distinction is usually not made. (It holds for both characterizations.) And since I did not think of the formulation I found now ...
By the way: Boris, do you think (agree) that this topic is worth a page (for non-mathematicians) like this?
--Peter Schmitt 10:36, 2 February 2010 (UTC)