On Spirals | work by Archimedes | Britannica (original) (raw)

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discussed in biography

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  In Archimedes: His works
  ) On Spirals develops many properties of tangents to, and areas associated with, the spiral of Archimedes—i.e., the locus of a point moving with uniform speed along a straight line that itself is rotating with uniform speed about a fixed point. It was one of only…
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spirals

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  In spiral
  …did employ it in his On Spirals (c. 225 bce) to square the circle and trisect an angle. The equation of the spiral of Archimedes is r = _a_θ, in which a is a constant, r is the length of the radius from the centre, or beginning, of the spiral,…
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