Triangles from point-to-line distances (Q2710502)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Triangles from point-to-line distances |
scientific article |
Statements
9 December 2001
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Triangles from point-to-line distances (English)
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The authors determine the loci \(L_t\), \(L_{at}\), \(L_{rt}\), and \(L_{ot}\) of all points for which the distances to the sides of a given triangle form a triangle, or an acute, right, or obtuse triangle, and show that of the 101 central points of a triangle listed in \textit{C. Kimberling} [Math. Mag. 67, No. 3, 163-187 (1994; Zbl 0821.51014)] only 8 lie in \(L_t\).
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