Editing Arithmetic–geometric mean (section)

===Other applications===
Using this property of the AGM along with the ascending transformations of [[John Landen]],<ref>{{cite journal |first=John |last=Landen |title=An investigation of a general theorem for finding the length of any arc of any conic hyperbola, by means of two elliptic arcs, with some other new and useful theorems deduced therefrom |journal=[[Philosophical Transactions of the Royal Society]] |volume=65 |year=1775 |pages=283–289 |doi=10.1098/rstl.1775.0028|s2cid=186208828 }}</ref> [[Richard P. Brent]]<ref>{{cite journal |first=Richard P. |last=Brent |title=Fast Multiple-Precision Evaluation of Elementary Functions |journal=[[Journal of the ACM]] |volume=23 |issue=2 |year=1976 |pages=242–251 |doi=10.1145/321941.321944 |mr=0395314 |citeseerx=10.1.1.98.4721 |s2cid=6761843 |url=https://link.springer.com/chapter/10.1007/978-3-319-32377-0_2 }}</ref> suggested the first AGM algorithms for the fast evaluation of elementary [[transcendental function]]s ({{math|''e''<sup>''x''</sup>}}, {{math|cos&nbsp;''x''}}, {{math|sin&nbsp;''x''}}). Subsequently, many authors went on to study the use of the AGM algorithms.<ref>{{cite book |author1-link=Jonathan Borwein |first1=Jonathan M. |last1=Borwein |author2-link=Peter Borwein |first2=Peter B. |last2=Borwein |title=Pi and the AGM |publisher=Wiley |place=New York |year=1987 |isbn=0-471-83138-7 |mr=0877728 }}</ref>