{
  "id": "1304.4547",
  "version": "v1",
  "published": "2013-04-16T18:43:13.000Z",
  "updated": "2013-04-16T18:43:13.000Z",
  "title": "A Short Proof of a Ptolemy-Like Relation for an Even number of Points on a Circle Discovered by Jane McDougall",
  "authors": [
    "Marc Chamberland",
    "Doron Zeilberger"
  ],
  "comment": "2 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a short proof of a Ptolemy-style result first discovered and proved by Jane McDougall. It may be viewed as a generalization to any even number of points of the cubic relation connecting the six joint distances of four points on a circle (whose quadratic relation is the famed Plucker relation, alias Ptolemy's theorem). This article is in fond memory of Andrei Zelevinsky (1953-2013) who loved Ptolemy's theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-16T18:43:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short proof",
      "jane mcdougall",
      "ptolemy-like relation",
      "ptolemy-style result first",
      "alias ptolemys theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.4547C"
    }
  }
}