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A Geometric Proof of Machin's Formula

The author presents a geometric proof of Machin's formula, which expresses \(\frac {\pi}{4}\) as the difference of two inverse tangent functions.
Old Node ID: 
3637
MSC Codes: 
01Axx
Author(s): 
Roger B. Nelsen (Lewis and Clark College)
Publication Date: 
Sunday, February 27, 2011
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 1990
Subject(s): 
Geometric Proof
Geometry and Topology
Famous Problems
Number Theory
Algebra and Number Theory
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
47.00
Rating Sum: 
131.00
Rating Average: 
2.79
Applicable Course(s): 
4.8 History of Math
4.1 Introduction to Proofs
3.2 Mainstream Calculus II
Modify Date: 
Wednesday, February 1, 2012
Average: 2.8 (48 votes)

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