Timeline for approaches to Apollonius circle problems
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 17, 2016 at 23:45 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Added animation.
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| Jul 17, 2016 at 18:23 | comment | added | Joseph O'Rourke | @johnmangual: There is a Mathematica notebook linked from here. For a nice animation by Steven Dutch of the circles "rolling," see this link. | |
| Jul 17, 2016 at 4:49 | comment | added | Futurologist | I don't know if it helps but these chains can be transformed to Poncelet's porism: the points of tangencies between pairs of black circles lie on a common circle orthogonal to all black ones. Furthermore the centers of the black circles lie on an ellipse. So the poligonal line formed by connecting pairs of centers of adjacent black circles is inscribed in the ellipse and tangent to the orthogonal circle. | |
| Jul 17, 2016 at 3:35 | comment | added | john mangual | totally if the Blue circle is the unit circle, which radii allows me to have $n$ circles? in principle this can be computed by taking a mobius transformation of the regular case but I still have difficulty computing the centers and radii | |
| Jul 17, 2016 at 0:50 | history | answered | Joseph O'Rourke | CC BY-SA 3.0 |