Unformatted text preview: (Figure 2.19 ) It is di±cult to see how to write down an equation in x and y Figure 2.19: r = θ , θ < with this locus. Finally, we consider the cycloid , which can be described as the path of a point on the rim of a wheel rolling along a line (Figure 2.20 ). Let R be the radius of the wheel, and assume that at the beginning the point is located on the line—which we take to be the ξ x —at the origin, so the center of the...
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- Fall '08
- Calculus, Euclidean geometry, Archimedes