Galileo tried unsuccessfully to find the area under a cycloid. Around 1630, Gilles de Roberval proved that
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Galileo tried unsuccessfully to find the area under a cycloid. Around 1630, Gilles de Roberval proved that the area under one arch of the cycloid c(t) = (Rt − R sin t, R − R cos t) generated by a circle of radius R is equal to three times the area of the circle (Figure 26). Verify Roberval’s result using Eq. (9).
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Using the given equation 2r 52 R R ...View the full answer
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