Timeline for Is a point that is incident to several circles not on the same sphere necessarily singular?
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| Sep 4, 2011 at 16:56 | comment | added | Adam Sheffer | Thanks. Indeed, this case is clear to me, but I wish to know if the point is always singular under the above conditions. That is, including when the additional circle has the same tangent plane as the sphere. Also, it seems that I have a counterexample for the first part of the follow-up question. That is, any constant number of circles can be fully contained in $f$ while the sphere that contains them isn't in $f$. But I don't have an example for the case where the additional circle is also in $f$. | |
| Aug 31, 2011 at 22:33 | comment | added | rita | If the additional circle is not tangent to the sphere than the point has to be singular. | |
| Aug 31, 2011 at 14:47 | history | asked | Adam Sheffer | CC BY-SA 3.0 |