Euler's ratio-sum theorem and generalizations
| dc.contributor.author | Grünbaum, Branko | |
| dc.contributor.author | Klamkin, Murray S. | |
| dc.date.accessioned | 2005-11-30T01:48:44Z | |
| dc.date.available | 2005-11-30T01:48:44Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | A theorem of Euler concerns sums of ratios in which Cevians of a triangle are divided by a common point. Generalizations of this result in three directions are presented: polygons instead of triangles, higher-dimensional polytopes, and several kinds of ratios. | en |
| dc.format.extent | 159168 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Mathematics Magazine vol. 79(2006), pages 122 – 130. | |
| dc.identifier.issn | 0025-570X | |
| dc.identifier.uri | http://hdl.handle.net/1773/2213 | |
| dc.language.iso | en_US | |
| dc.subject | polygon | en |
| dc.subject | polytope | en |
| dc.subject | Cevian | en |
| dc.subject | Segment-ratios | en |
| dc.title | Euler's ratio-sum theorem and generalizations | en |
| dc.type | Article | en |