Editing Daniel Bernoulli (section)

==Mathematical work==
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[[File:ETH-BIB-Bernoulli, Daniel (1700-1782)-Portrait-Portr 10971.tif (cropped).jpg|thumb|Daniel Bernoulli]]
His earliest mathematical work was the ''Exercitationes'' (''Mathematical Exercises''), published in 1724 with the help of [[Christian Goldbach|Goldbach]]. Two years later he pointed out for the first time the frequent desirability of resolving a compound motion into motions of translation and motion of rotation. In 1729, he published a [[polynomial root-finding]] algorithm which became known as [[Bernoulli's method]].<ref name="chabert">{{cite book |editor1-last=Chabert |editor1-first=Jean-Luc |title=A history of algorithms : from the pebble to the microchip |date=1999 |location=Berlin; New York |publisher=Springer |isbn=978-3-540-63369-3 |pages=223–224 |url=https://archive.org/details/isbn_0116404090940/page/222/mode/2up}}</ref> His chief work is ''[[Hydrodynamica]]'', published in 1738. It resembles [[Joseph Louis Lagrange]]'s ''Mécanique Analytique'' in being arranged so that all the results are consequences of a single principle, namely, the conservation of [[vis viva]], and early version of the [[conservation of energy]]. This was followed by a memoir on the theory of the tides, to which, conjointly with the memoirs by Euler and [[Colin Maclaurin]], a prize was awarded by the [[French Academy]]: these three memoirs contain all that was done on this subject between the publication of [[Isaac Newton]]'s ''[[Philosophiae Naturalis Principia Mathematica]]'' and the investigations of [[Pierre-Simon Laplace]]. Bernoulli also wrote a large number of papers on various mechanical questions, especially on problems connected with [[vibrating string]]s, and the solutions given by [[Brook Taylor]] and by [[Jean le Rond d'Alembert]].<ref name="ball"/>

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File:Hydrodynamica-2.jpg|alt=Outer spine of Bernoulli's Hydrodynamica|A 1738 copy of Bernoulli's ''Hydrodynamica''
File:Hydrodynamica-1.jpg|alt=|First page of the first section of a 1738 copy of ''Hydrodynamica''
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