View Proposal #54
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| ID | 54 |
|---|---|
| First Name | David |
| Last Name | Gisch |
| Institution | University of Northern Iowa |
| Speaker Category | graduate student |
| Title of Talk | Apollonius |
| Abstract | In Tangencies, Apollonius of Perga shows how to construct a circle that is tangent to three given circles. More generally, Apollonius' problem asks to construct the circle which is tangent to any three objects, which may be any combination of points, lines, and circles. The case when all three objects are circles is the most complicated case since up to eight solution circles are possible depending on the arrangement of the given circles. Within the last two centuries solutions have been given by J. D. Gergonne in 1816, Frederick Soddy in 1936, and most recently David Eppstein in 2001. We illustrate the solutions using the geometry software Cinderella |
| Subject area(s) | history, Geometry |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | Y |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 3/9/2004 |
| Year | 2004 |