Abstract
The Siebeck-Marden theorem relates the roots of a third degree polynomial and the roots of its derivative in a geometrical way. A few geometric arguments imply that every inellipse for a triangle is uniquely related to a certain logarithmic potential via its focal points. This fact provides a new direct proof of a general form of the result of Siebeck and Marden.
| Original language | English |
|---|---|
| Pages (from-to) | 459-463 |
| Number of pages | 5 |
| Journal | American Mathematical Monthly |
| Volume | 124 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 2017 |
| Externally published | Yes |
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