or Ber·nouil′li

- 1700-82; Swiss scientist, known for his work on hydrodynamics: son of Jean
- 1654-1705; Swiss mathematician, known for his work on calculus: brother of Jean
- 1667-1748; Swiss mathematician, known for his work on calculus

or Ber·nouil′li

- 1700-82; Swiss scientist, known for his work on hydrodynamics: son of Jean
- 1654-1705; Swiss mathematician, known for his work on calculus: brother of Jean
- 1667-1748; Swiss mathematician, known for his work on calculus

Webster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Family of Swiss mathematicians and scientists, including **Jakob** or **Jacques** (1654-1705), an important developer of ordinary calculus and the calculus of variations. His brother **Johann** or **Jean** (1667-1748) developed the calculus of variations. Johann's son **Daniel** (1700-1782) anticipated the law of conservation of energy, did pioneering work in the molecular theory of gases, and contributed to probability theory and the theory of differential equations.

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Family of Swiss mathematicians. **Jacques** (or **Jakob**) (1654–1705) was a major developer of calculus and made an important contribution to probability theory. His brother **Jean** (or **Johann**) (1667–1748) also developed calculus and contributed to the study of complex numbers and trigonometry. Jean's son **Daniel** (1700–1782) pioneered the modern field of hydrodynamics and anticipated the kinetic theory of gases, indicating that gas pressure would increase with increasing energy. He was also one of the first scientists to understand the concept of conservation of energy.

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- 1 3p6xcv-ros, shortest, and Xpovos, time), a term invented by John
**Bernoulli**in 1694 to denote the curve along which a body passes from one fixed point to another in the shortest time. **Bernoulli**, this theory was advanced by the successive labours of John Herapath, J.- The lemniscate of
**Bernoulli**may be defined as the locus of a point which moves so that the product of its distances from two fixed points is constant and is equal to the square of half the distance between these points. - The same name is also given to the first positive pedal of any central conic. When the conic is a rectangular hyperbola, the curve is the lemniscate of
**Bernoulli**previously described. - In 1740 Maclaurin divided with Leonhard Euler and Daniel
**Bernoulli**the prize offered by the French Academy of Sciences for an essay on tides.

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