{
  "id": "1208.6228",
  "version": "v2",
  "published": "2012-08-30T16:32:30.000Z",
  "updated": "2012-09-17T12:17:12.000Z",
  "title": "The distribution function of the distance between two random points in a right-angled triangle",
  "authors": [
    "Uwe Bäsel"
  ],
  "comment": "15 pages, 5 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we obtain the density function and the distribution function of the distance between two uniformly and independently distributed random points in any right-angled triangle. The density function is derived from the chord length distribution function using Piefke's formula. We conclude results for random distances between two congruent right-angled triangles together forming a rectangle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-17T12:17:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "52A22"
    ],
    "keywords": [
      "density function",
      "chord length distribution function",
      "congruent right-angled triangles",
      "piefkes formula",
      "conclude results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.6228B"
    }
  }
}