{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "TQJGPS6VZK"
    }
  ],
  "body": "\n## Summary\n\nA set of points is coplanar when some plane contains all of them.\nAny three points are coplanar, so the notion first says something for four or more points.\nIt is the next step after [[collinearity|0AFNNTRTJE]], and in space it is tested by a vanishing determinant.\n\n## Explanations\n\n### L1 human\n\nPoints are coplanar if a flat sheet can pass through all of them.\nThree points always fit on a sheet, like a three-legged stool that never wobbles.\nFour points may not: the corners of a tetrahedron are not coplanar.\nThe four corners of a square are coplanar, and so are any points of the floor of a room.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "51N10",
      "51A05"
    ],
    "name": "Coplanarity",
    "same_as": {
      "wikidata": "Q543533",
      "wikipedia": "Coplanarity"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Coplanarity"
      }
    ],
    "tag": "4TWY53TBKK"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/4TWY53TBKK/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/4TWY53TBKK.md",
  "msc": [
    "51N10",
    "51A05"
  ],
  "name": "Coplanarity",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/4TW/4TWY53TBKK.md",
  "status": null,
  "tag": "4TWY53TBKK",
  "uri": "m2://4TWY53TBKK",
  "url": "https://tamnd.github.io/math2/wiki/coplanarity/",
  "writing": {
    "tag": "4TWY53TBKK",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}