On Spirals

work by Archimedes

Learn about this topic in these articles:

discussed in biography

  • Archimedes
    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

  • Ionic architectural order
    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 = aθ, 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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