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From Wikipedia, the free encyclopedia ... This is a file from the Wikimedia Commons. The description on its description page there is shown below. Commons is a freely licensed media file repository. You can help. ... Tautochrone curve animation (4 points runs over a cycloid)
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en.wikipedia.org/wiki/File:Tautochrone_curve.gif
en.wikipedia.org/wiki/File:Tautochrone_curve.gif
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To see that the cycloid satisfies the tautochrone property, consider the ... Phillips, J. P. "Brachistochrone, Tautochrone, Cycloid--Apple of Discord. ...
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mathworld.wolfram.com/TautochroneProblem.html
mathworld.wolfram.com/TautochroneProblem.html
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"Tautochrone" comes from the Greek tauto for "the same" (which also gives us "tautology") and chronos for "time." The solution, first found by Christiaan Huygens and published in his Horologium oscillatorium (1673), is a cycloid. ... tautochrone animation...
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www.daviddarling.info/encyclopedia/T/tautochrone_proble...
www.daviddarling.info/encyclopedia/T/tautochrone_problem.html
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Note: Tautochrone is a term from Greek meaning "the same time." The special property of a tautochrone is the fact that a bead sliding down a tautochrone-shaped frictionless wire will take the same amount of time to reach the bottom no matter how high or low the release point.
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www.mathwords.com/t/tautochrone.htm
www.mathwords.com/t/tautochrone.htm
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The tautochrone problem consists of the determination of a curve in the (x,y) plane such that the time required for a particle to slide down the curve to ...
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www.iop.org/EJ/abstract/0143-0807/21/5/303
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The story behind the Weird Word 'tautochrone'. ... So the cycloid is said to be a tautochrone. Huygens used this discovery to construct curved jaws from the point of support of the pendulum; these forced its string to follow the right curve no matter how large or small the swing.
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www.worldwidewords.org/weirdwords/ww-tau1.htm
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Hutchinson encyclopedia article about Tautochrone curve. Tautochrone curve. Information about Tautochrone curve in the Hutchinson encyclopedia. ... (redirected from Tautochrone curve)
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encyclopedia.farlex.com/Tautochrone+curve
encyclopedia.farlex.com/Tautochrone+curve
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Find the curve down which a bead placed anywhere will fall to the bottom in the same amount of time. ... The solution is a Cycloid, a fact first discovered and published by Huygens in Horologium oscillatorium (1673). ... To see that the Cycloid satisfies the tautochrone property, consider the derivatives ;
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www.math.sdu.edu.cn/mathency/math/t/t059.htm
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Mechanics...
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scienceworld.wolfram.com/physics/TautochroneProblem.htm...
scienceworld.wolfram.com/physics/TautochroneProblem.html
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