Annotations to a certain passage of Descartes for finding the quadrature of the circle Export

@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.}, archivePrefix = {arXiv}, author = {Euler, Leonhard}, citeulike-article-id = {3036258}, citeulike-linkout-0 = {http://arxiv.org/abs/0705.3423}, citeulike-linkout-1 = {http://arxiv.org/pdf/0705.3423}, day = {23}, eprint = {0705.3423}, keywords = {available-in-tex-format, geometry, historical-work, mathematics}, month = {May}, posted-at = {2008-07-23 08:41:21}, priority = {2}, title = {Annotations to a certain passage of Descartes for finding the quadrature of the circle}, url = {http://arxiv.org/abs/0705.3423}, year = {2007} }

TY - ELEC ID - citeulike:3036258 L3 - citeulike-article-id:3036258 N2 - 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. TI - Annotations to a certain passage of Descartes for finding the quadrature of the circle KW - available-in-tex-format KW - geometry KW - historical-work KW - mathematics AU - Euler, Leonhard PY - 2007/May/23/ UR - http://arxiv.org/abs/0705.3423 ER -