Pierre Varignon

Pierre Varignon (French pronunciation: [pjɛʁ vaʁiɲɔ̃]; 1654 – 23 December 1722) was a French mathematician. He was educated at the Jesuit College and the University of Caen, where he received his M.A. in 1682. He took Holy Orders the following year.

Pierre Varignon
Born	1654 Caen, France
Died	23 December 1722 Paris, France
Nationality	French
Known for	statics, mechanics, infinitesimal calculus, convergence of series, water clock, mechanical explanation of gravitation, Varignon's theorem
Scientific career
Fields	Mathematics
Institutions	Académie Royale des Sciences, Collège Royal, Collège Mazarin, Berlin Academy, Royal Society
Doctoral advisor	Nicolas Malebranche
Doctoral students	Jacques Cassini

Varignon gained his first exposure to mathematics by reading Euclid and then Descartes' La Géométrie. He became professor of mathematics at the Collège Mazarin in Paris in 1688 and was elected to the Académie Royale des Sciences in the same year. In 1704, he held the departmental chair at Collège Mazarin and also became professor of mathematics at the Collège Royal. He was elected to the Berlin Academy in 1713 and to the Royal Society in 1718. Many of his works were published in Paris in 1725, three years after his death. His lectures at Mazarin were published in Elements de mathematique in 1731.

Varignon was a friend of Newton, Leibniz, and the Bernoulli family. Varignon's principal contributions were to graphic statics and mechanics. Except for l'Hôpital, Varignon was the earliest and strongest French advocate of infinitesimal calculus, and exposed the errors in Michel Rolle's critique thereof. He recognized the importance of a test for the convergence of series, but analytical difficulties prevented his success. Nevertheless, he simplified the proofs of many propositions in mechanics, adapted Leibniz's calculus to the inertial mechanics of Newton's Principia, and treated mechanics in terms of the composition of forces in Projet d'une nouvelle mécanique in 1687. Among Varignon's other works was a 1699 publication concerning the application of differential calculus to fluid flow and to water clocks. In 1690, he created a mechanical explanation of gravitation. In 1702, he applied calculus to spring-driven clocks. In 1704, he invented the U-tube manometer, a device capable of measuring rarefaction in gases.

Works

Traité du mouvement et de la mesure des eaux coulantes et jaillissantes, 1736

• Projet d'une nouvelle mechanique (in French). Paris: Edme Martin, veuve. 1687.
• Traité du mouvement et de la mesure des eaux coulantes et jaillissantes (in French). Bologna: Lelio Dalla Volpe. 1736.

See also

• Varignon's theorem
• Varignon's theorem (mechanics)
• List of Roman Catholic scientist-clerics

References

An original entry was based on the book A Short Account of the History of Mathematics (4th edition, 1908) by W. W. Rouse Ball.

• Pierre Varignon at the Mathematics Genealogy Project