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Oct 7, 2016 at 13:56 history edited Manfred Weis CC BY-SA 3.0
added restriction on the linear transformations
Oct 7, 2016 at 13:37 comment added Manfred Weis @MichaelRenardy good point; I have edit accordingly.
Oct 7, 2016 at 11:44 comment added Michael Renardy There is something here I must be misunderstanding. If the have a linear transformation that puts the four points on a circle, cannot you then combine that linear transformation with a dilation that makes the circle as big as you want?
Oct 7, 2016 at 11:23 history edited Manfred Weis CC BY-SA 3.0
improved formulation in response to a comment
Oct 7, 2016 at 11:09 comment added Manfred Weis @BenMcKay I wrote "biggest circle" because I am not sure about the uniqueness; it may depend on the direction, in which one stretches the plane. My concerns about uniqueness are motivated by the fact, that one always can find a stretching along one of the major axes, that makes the points co-cyclic or, equivalently formulated, finds an ellipse in standard orientation through the points.
Oct 7, 2016 at 10:17 comment added Ben McKay Which circle is the biggest circle?
Oct 7, 2016 at 10:17 history edited Manfred Weis CC BY-SA 3.0
removed a possible ambiguity in the statement of the problem
Oct 7, 2016 at 10:09 history asked Manfred Weis CC BY-SA 3.0