The affine Pythagorean theorem of Pappus
One version of Pappus's theorem is as follows. Let \(A\) and \(B\) be parallelograms constructed outside a triangle \(ABC\), such that \(A\) has a side \(AB\) and \(B\) has a side \(BC\). Let \(P\) be the point of intersection of the sides of \(A\) and \(B\) opposite to \(AB\) and \(BC\).
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Examining tenth-grade students’ errors in applying Polya’s problem-solving approach to Pythagorean theorem [PDF]
Muntasir A. Taamneh +2 more
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Variations on the Expectation Due to Changes in the Probability Measure. [PDF]
Perlaza SM, Bisson G.
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Decision support system based on AHP and PROMETHEE under rough pythagorean fuzzy set information for selection of basketball team. [PDF]
Zhang C, Li G.
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Measuring the accuracy of the Pythagorean theorem in Korean pro-baseball
Jangtaek Lee
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Multi-experts decision support system for recycling of waste material using some circular pythagorean fuzzy Muirhead means. [PDF]
Ullah K, Ahmad Z, Rak E, Jafari S.
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A MAGDM approach based on dual hesitant Q-rung orthopair fuzzy Dombi norm with Hamy mean operators and its application. [PDF]
Ma X, Wang M, Qin H, Wei Q, Li T.
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Mobius Molecules, Pythagorean Triples and Fermat’s Last Theorem [PDF]
Francesco Aquilante
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Critical dimensions in strengthening education and instructor training using fuzzy based decision algorithm and CRITIC WASPAS method. [PDF]
Zhou H, Yang R.
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PYTHAGOREAN THEOREM IN VARIOUS GEOMETRIES
The work is devoted to the Pythagorean Theorem, known in school geometry, which expresses the relationship between the legs and the hypotenuse in a right triangle. This theorem is valid both in the elliptic plane (Riemann plane) and in the hyperbolic plane (Lobachevsky plane), in which triangles are considered as geodesics.
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