L i b r a r y & I n f o r m a t i o n R e s o u r c e s
Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions
| Author |
Hajja,Mowaffaq (Author)
Sondow,Jonathan (Author) | Journal Title | Organization studies | Volume/ Issue | 2019/NOV V.40 N.11 | Physical Description | p 135-150 | Subject Area | Economics | 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.... | View Full Abstract | Subject Headings | Organizational sociology Organizational behavior Organization | Call Number | 338 OST | Location | Periodicals Hall 2nd floor - قاعة الدوريات - الطابق الثاني |
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