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Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions
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Material Type |
Article
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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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Volume/ Issue No.: 2019/NOV V.40 N.11
Call No.:338 OST Location: Periodicals & References Hall - 2nd floor
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Physical Description |
p 135-150
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Subject Area/ Descriptors |
Economics
(9033)
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Abstract |
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....
Full Abstract
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Journal:
Organization studies
(66)
Issu: 2019/NOV V.40 N.11
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