Figure 1.4.11 shows a bead sliding down a frictionless

Chapter , Problem 68

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Figure 1.4.11 shows a bead sliding down a frictionless wire from point P to point Q. The brachistochrone problem asks what shape the wire should be in order to minimize the beads time of descent from P to Q. In June of 1696, John Bernoulli proposed this problem as a public challenge, with a 6-month deadline (later extended to Easter 1697 at George Leibnizs request). Isaac Newton, then retired from academic life and serving as Warden

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