✳flâneur — a map of the web's best reading

Tautochrone curve - Wikipedia

en.wikipedia.org · 3,722 words · saved by 1 readers

A tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same' ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point on the curve. The curve is a cycloid, and the time is equal to π times the square root of the radius (of the circle which generates the cycloid) over the acceleration of gravity. The tautochrone curve is related to the brachistochrone curve, which is also a cycloid. It was in the left hand try-pot of the Pequod, with the soapstone diligently circling round me, that I was first indirectly struck by the remarkable fact, that in geometry all bodies gliding along the cycloid, my soapstone for example, will descend from any point in precisely the same time. Moby Dick by Herman Melville, 1851 The tautochrone problem, the attempt to identify this curve, was solved by Christiaan Huygens in 1659. He proved geometrica

Tautochrone curve - Wikipedia Jump to content From Wikipedia, the free encyclopedia Curve for which the time to roll to the end is equal for all starting points Four balls slide down a cycloid curve from different positions, but they arrive at the bottom at the same time. The blue arrows show the points' acceleration along the curve. On the top is the time-position diagram. Objects representing tautochrone curve A tautochrone curve or isochrone curve (from Ancient Greek ταὐτό ( tauto- ) ' same ' ; ἴσος ( isos- ) ' equal ' and χρόνος ( chronos ) ' time ' ) is the curve for which the time taken

Explore this link on the map →

saved by

related reading