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Encyclopedia Britannica



CLAIRAULT (or CLAIRAUT), ALEXIS CLAUDE (1713-1765)

This article appears in Volume V06, Page 418 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: CHR-CLI
CLAIRAULT (or CLAIRAUT), ALEXIS CLAUDE (1713-1765) , French mathematician, was born on the 13th or 7th of May 1713, at Paris, where his father was a teacher of mathematics. Under his father's tuition he made such rapid progress in mathematical studies that in his thirteenth year he read before the French
Academy
  an account of the properties of four curves which he had then discovered. When only sixteen he finished a treatise, Recherches sur les courbes a
double
  courbure, which, on its publication in 1731, procured his admission into the
Academy
  of Sciences, although even then he was below the legal age. In 1736, together with Pierre Louis Maupertuis, he took
part
  in the expedition to
Lapland
 , which was undertaken for the purpose of estimating a degree of the
meridian
 , and on his return he published his treatise Theorie de la figure de la terre (1743). In this
work
  he promulgated the theorem, known as " Clairault's theorem," which connects the gravity at points on the surface of a rotating ellipsoid with the compression and the centrifugal force at the
equator
  (see EARTH, FIGURE OF THE). He obtainedan ingenious approximate solution of the problem of the three bodies; in 1750 he gained the prize of the St
Petersburg
  Academy for his essay Theorie de la lune; and in 1759 he calculated the perihelion of Halley's comet. He also detected singular solutions in differential equations of the first order, and of the second and higher degrees. Clairault died at Paris, on the 17th of May 1765.


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