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Volume 26 (2024)
Volume 26, Issue 2 (In Progress)
Pg 71 - 124 (December 2024)
Volume 26, Issue 1
Pg 1 - 70 (June 2024)
Volume 25 (2023)
Volume 25,
Pg 1 - 72 (December 2023)
Volume 24 (2023)
Volume 24,
Pg 1 - 50 (June 2023)
Volume 23 (2022)
Volume 23,
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Pg 1 - 50 (June 2022)
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Pg 123 - 206 (December 2021)
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Pg 1 - 121 (June 2021)
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Far East Journal of Mathematical Education
Far East Journal of Mathematical Education
Volume 1, Issue 1, Pages 33 - 41 (June 2007)
GENERALIZATION, SPECIALIZATION AND ANALOGY FOR PYTHAGOREAN THEOREM
Mankeun Lee (Korea)
Abstract:
The theorem of Pythagoras relating the squares of the lengths of the sides of a right triangle is one of the key results in elementary geometry. At a more advanced level, one learns that the Pythagorean theorem extends to prehilbert spaces, but it still expresses a relation among lengths of vectors. In this paper, we came across generalization of the Pythagorean theorem, a result relating the areas of the facets of a polyhedron. And we could make an analogy it in the inner product space. We believe these generalization and analogy for the Pythagorean theorem are instructive and useful.
Keywords and phrases:
Pythagorean theorem, generalization, analogy.
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P-ISSN: 0973-5631
E-ISSN: 2583-343X
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