Certain Properties of Pythagorean Triangles involving the interior diameter, and the exterior diameters
| dc.creator | Zelator, Konstantine "Hermes" | |
| dc.date | 2008-03-25 | |
| dc.date.accessioned | 2026-07-07T09:28:20Z | |
| dc.date.available | 2026-07-07T09:28:20Z | |
| dc.description | There are four characteristic circles for each triangle on a plane. All for are tangential to the three straight lines containing the triangles' three sides. Three are exterior circles, the fourth is the in-circle. When the triangle is Pythagorean, the four diameters are integers. Consider a Pythagorean triangle with the property that one leglength is a perfect(or integer)square, and with one of the four diameters also a integer square.Of the eight resulting combinations, we prove that only six are possible or can occur. We then completely parametrically describe the six families; each corresponding to one of the six combinations. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0803.3605 | |
| dc.identifier | http://arxiv.org/abs/0803.3605 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157416 | |
| dc.subject | General Mathematics | |
| dc.subject | 11A; 11D | |
| dc.title | Certain Properties of Pythagorean Triangles involving the interior diameter, and the exterior diameters | |
| dc.type | text |