FACTOID #53: If you thought Antarctica was inhospitable, think again - its land area is only ninety-eight percent ice. Reassuringly, the other 2% is categorised as "barren rock".
In mathematics, Lagrange's theorem usually refers to any of the following theorems, attributed to Joseph Louis Lagrange: Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Look up theorem in Wiktionary, the free dictionary. ... Joseph-Louis Lagrange, comte de lEmpire (January 25, 1736 – April 10, 1813; b. ...
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Lagrange did not explicitly recognize groups, but he obtained implicitly some of the simpler properties, including the theorem known after him, which states that the order of a subgroup is a divisor of the order of the group.
Lagrange did not regard the principle as an axiom but rather as a general expression of the law of equilibrium deduced from the laws of the lever and the composition of forces or, alternatively, from the properties of strings and pulleys.
Lagrange proved to be a mathematical prodigy; he was teaching geometry at the Royal Artillery School in Turin at the age of eighteen, and he established the Turin Academy of Sciences in 1758.
Lagrange developed the mean value theorem which led to a proof of the fundamental theorem of calculus, and a proof of Taylor's theorem.
Lagrange also invented the method of solving differential equations known as variation of parameters, applied differential calculus to the theory of probabilities and attained notable work on the solution of equations.
Lagrange, who was present, now discussed the whole subject afresh, and in a letter communicated to the Academy in 1808 explained how, by the variation of arbitrary constants, the periodical and secular inequalities of any system of mutually interacting bodies could be determined.
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