%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 }