{
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  "body": "\n## Problem\n\nGiven an arbitrary angle, construct with [[straightedge and compass|0DAECMZVRT]] alone an angle one third as large.\n\n## Remarks\n\nSome angles can be trisected. For example, a right angle can be trisected, because an angle of $30^\\circ$ is constructible.\nThe general problem asks for one method that works for every angle.\nThe answer is no: [[the angle of $60^\\circ$ cannot be trisected|0EWXPZCSZ0]].\nThe problem has solutions with other tools, such as a marked ruler or origami.\n\n## History\n\nThe problem comes from ancient Greek geometry.\nPierre Wantzel proved in 1837 that it has no solution for arbitrary angles.\n\n## Explanations\n\n### L1 human\n\nBisecting an angle is easy with a compass.\nTrisecting it, that is, dividing it into three equal parts, is not possible in general with straightedge and compass alone.\n",
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  "name": "Trisecting the angle",
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