CYCLOID TOM COPLEY. Cycloid Galileo Galilei 1599 cycloid area of cycloid = pi times the area of the circle.

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Presentation transcript:

CYCLOID TOM COPLEY

Cycloid

Galileo Galilei 1599 cycloid area of cycloid = pi times the area of the circle

Blaise Pascal What are the dimensions and properties of the cycloid?

Evangelista Torricelli Area under the cycloid is three times the area of the generating circle.

Rene Descartes Use tangent lines; it’s easier that way.

Sir Christopher Wren 1658 length of the cycloid = four times the diameter of the circle

Christian Huygens 1673 Isochrone Tautochrone

Johann Bernoulli Jakob Bernoulli Newton Leibniz Brachistochrone

SOURCES: Gardner, Martin, Martin Gardner’s Sixth Book of Mathematical Games, Charles Scribner’s Sons, New York, Eric Weisstein’s Encyclopedia of Math, treasure-troves.com, Eric Weisstein, Dr. Carl Lee, University of Kentucky

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