Timeline for How many points are possible in the plane that are the same distance from all three points.
Current License: CC BY-SA 3.0
4 events
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Sep 5, 2016 at 5:28 | comment | added | Parcly Taxel | Suppose R is equidistant from P and Q, but not at the midpoint. Then the asked-for point exists. But if I move R closer and closer to the midpoint, the asked-for point goes farther and farther away from PQ, until the time when R is on PQ, at which point the circumcentre is infinitely far from PQ and doesn't exist as a real point. | |
Sep 5, 2016 at 5:21 | comment | added | Mahmudul Hasan | I don't understand 2nd and 3rd problem. Can you please explain a bit. In second problem I see this way- if R was midpoint on the line PQ, then I guess there is no point. But, if R is equidistant from both P and Q but not midpoint, then one point is possible in opposite side of R. | |
Sep 5, 2016 at 5:12 | history | edited | Parcly Taxel | CC BY-SA 3.0 |
added 10 characters in body
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Sep 5, 2016 at 5:03 | history | answered | Parcly Taxel | CC BY-SA 3.0 |