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  "body": "\n## Summary\n\nAn involute of a curve is the path traced by the end of a taut string that is unwound from the curve.\nAt each point it meets the tangent line of the original curve at a right angle.\nInvolutes and [[evolutes|Y3ZNV24V2C]] are inverse operations: the evolute of an involute is the original curve.\nThe involute of a circle is the profile of the teeth of most gears.\n\n## Explanations\n\n### L1 human\n\nWrap a string tightly around a spool and hold its free end.\nPull the string away so it stays tight, and unwind it.\nThe free end draws a spiral-like curve: this is the involute of the circle.\nDifferent starting lengths of string give different involutes, all parallel to each other.\n",
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