Lord Brouncker's forgotten sequence of continued fractions for pi.

Authors :: Osler, Thomas J.
Source :: International Journal of Mathematical Education in Science & Technology. 2010, Vol. 41 Issue 1, p105-110. 6p. 1 Chart.
Publication Year :: 2010
Abstract: 'Lord Brouncker's continued fraction for π' is a well-known result. In this article, we show that Brouncker found not only this one continued fraction, but an entire infinite sequence of related continued fractions for π. These were recorded in the Arithmetica Infinitorum by John Wallis, but appear to have been ignored and forgotten by modern mathematicians. We identify these continued fractions and give a modern derivation. [ABSTRACT FROM AUTHOR]

Subjects :: *RATIONAL numbers
*FRACTIONS
*MATHEMATICIANS
*ARITHMETIC
*REAL numbers
*IRRATIONAL numbers
*NATURAL numbers

Language :: English
ISSN :: 0020739X
Volume :: 41
Issue :: 1
Database :: Academic Search Index
Journal :: International Journal of Mathematical Education in Science & Technology
Publication Type :: Academic Journal
Accession number :: 49144654
Full Text :: https://doi.org/10.1080/00207390903189195