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CYCLOID

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.

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CYCLOID

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  1. CYCLOID TOM COPLEY

  2. Cycloid

  3. Galileo Galilei • 1599 • cycloid • area of cycloid = pi times the area of the circle

  4. Blaise Pascal • What are the dimensions and properties of the cycloid?

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

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

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

  8. Christian Huygens • 1673 • Isochrone • Tautochrone

  9. Brachistochrone Jakob Bernoulli Johann Bernoulli Newton Leibniz

  10. Gardner, Martin, Martin Gardner’s Sixth Book of Mathematical Games, Charles Scribner’s Sons, New York, 1971. Eric Weisstein’s Encyclopedia of Math, treasure-troves.com, Eric Weisstein, 1999. Dr. Carl Lee, University of Kentucky SOURCES:

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