{
  "aliases": [
    "curve-of-finite-length"
  ],
  "backlinks": [
    {
      "field": "uses",
      "target": "02QJVFCNYD"
    },
    {
      "field": "uses",
      "target": "0Q4CJ5NAT1"
    },
    {
      "field": "defines",
      "target": "0C28RT5BG7"
    }
  ],
  "body": "\n## Summary\n\nA [[parametrised curve|0G7WM8DX4P]] is rectifiable when the lengths of the polygonal paths inscribed in it are bounded.\nThe least upper bound of these lengths is the length of the curve.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "curve-of-finite-length"
    ],
    "kind": "concept",
    "msc": [
      "26A45"
    ],
    "name": "Rectifiable curve",
    "sources": [
      {
        "locator": "Definition",
        "url": "https://en.wikipedia.org/wiki/Arc_length"
      }
    ],
    "tag": "0HATW2VWAZ",
    "uses": [
      "0G7WM8DX4P"
    ]
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0HATW2VWAZ/",
  "links": [
    {
      "field": "uses",
      "target": "0G7WM8DX4P"
    }
  ],
  "markdown": "https://math2.tamnd.com/node/0HATW2VWAZ.md",
  "msc": [
    "26A45"
  ],
  "name": "Rectifiable curve",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0HA/0HATW2VWAZ.md",
  "status": null,
  "tag": "0HATW2VWAZ",
  "uri": "m2://0HATW2VWAZ",
  "url": "https://math2.tamnd.com/wiki/rectifiable-curve/",
  "writing": {
    "tag": "0HATW2VWAZ",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}