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Essays on several curious and useful subjects, in speculative and mix'd mathematicks, 1740 Thomas Simpson FRS (20 August 1710 – 14 May 1761) was a British mathematician and inventor known for the eponymous Simpson's rule to approximate definite integrals. The attribution, as often in mathematics, can be debated: this rule had been found 100 years earlier by Johannes Kepler, and in German it is called Keplersche Fassregel, or roughly "Kepler's Barrel Rule".
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Thomas Simpson (1582-1628) was an English composer. Simpson was born in Milton-next-Sittingbourne (now Milton Regis), Kent. There is no record of his first twenty-five years apart from his baptism (1st April). He seems to have been writing music by about 1602, when a surviving manuscript appears to have been written. Not long after this he travelled to Germany, as his name appears as a musician serving under the Elector Palatine at the Heidelberg Court. Simpson's wife was French, which might
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