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Annotations to a certain passage of Descartes for finding the quadrature of the circle
(мая 2007)
Аннотация
Translation from the Latin of Ännotationes in locum quendam Cartesii ad
circuli quadraturam spectantem" (1758). E275 in the Enestrom index. In the
first part Euler gives a construction that he apparently found in the
manuscripts of Descartes, on constructing a series of polygons with equal
perimeters that approach a circle. In the second part Euler looks at series
like tan x + 1/2 tan (x/2) + 1/4 tan (x/4) + ... He also makes remark at the
end about the quadratrix.
