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.
%0 Generic
%1 citeulike:3036258
%A Euler, Leonhard
%D 2007
%K Vor1800 available-in-tex-format geometry mathematics pre1800
%T Annotations to a certain passage of Descartes for finding the quadrature of the circle
%U http://arxiv.org/abs/0705.3423
%X 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.
@misc{citeulike:3036258,
abstract = {Translation from the Latin of "Annotationes 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.},
added-at = {2009-08-02T17:14:35.000+0200},
archiveprefix = {arXiv},
author = {Euler, Leonhard},
biburl = {https://www.bibsonomy.org/bibtex/224771df6b3ef081f9d78c630a425ceaa/rwst},
citeulike-article-id = {3036258},
citeulike-linkout-0 = {http://arxiv.org/abs/0705.3423},
citeulike-linkout-1 = {http://arxiv.org/pdf/0705.3423},
description = {my bookmarks from citeulike},
eprint = {0705.3423},
interhash = {432fc3e93997d1ac486e005d51c94cbe},
intrahash = {24771df6b3ef081f9d78c630a425ceaa},
keywords = {Vor1800 available-in-tex-format geometry mathematics pre1800},
month = May,
posted-at = {2008-07-23 08:41:21},
priority = {2},
timestamp = {2009-08-06T10:17:33.000+0200},
title = {Annotations to a certain passage of Descartes for finding the quadrature of the circle},
url = {http://arxiv.org/abs/0705.3423},
year = 2007
}