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Publication type: Article
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| Title: |
Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions
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| Author(s): |
Hajja,Mowaffaq
(Author)
Sondow,Jonathan
(Author)
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| Source Journal Info. |
Title:Organization studies
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Issue Number:2019/NOV V.40 N.11
Call No.:338 OST
Location: References & Periodical Hall - 2nd floor
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| Physical Description: |
p 135-150
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| Subject Area: |
Economics
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| Subject Terms: |
Organizational sociology
Organizational behavior
Organization
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| Accession Number |
179788
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Abstract
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A Newton quadrilateral is a convex quadrilateral inscribed in a circle, with one side a diameter. For diameter d and the other side lengths a,b,andc, Newton arrived at the cubic equation d3-(a2+b2+c2)d-2abc=0, which we shall refer to as Newton’s equation. Its positive integer solutions were found by P. Bachmann. All (positive and nonpositive) integer solutions were found by A. Oppenheim in terms of logarithmic and hyperbolic functions. ...
Abstract URL:https://www.tandfonline.com/doi/abs/10.1080/00029890.2019.1537426
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