CYCLOID

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CYCLOID

• TOM COPLEY

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Cycloid
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Galileo Galilei

• 1599
• cycloid
• area of cycloid pi times the area of the circle

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Blaise Pascal

• What are the dimensions and properties of the
  cycloid?

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Evangelista Torricelli

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

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Rene Descartes

• Use tangent lines its easier that way.

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Sir Christopher Wren

• 1658
• length of the cycloid four times the diameter
  of the circle

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Christian Huygens

• 1673
• Isochrone
• Tautochrone

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Brachistochrone
Jakob Bernoulli
Johann Bernoulli
Newton
Leibniz
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SOURCES

• Gardner, Martin, Martin Gardners Sixth Book of
  Mathematical Games, Charles Scribners Sons, New
  York, 1971.
• Eric Weissteins Encyclopedia of Math,
  treasure-troves.com, Eric Weisstein, 1999.
• Dr. Carl Lee, University of Kentucky