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Volume 27 (2025)
Volume 27, Issue 1 (In Progress)
Pg 1 - 10 (June 2025)
Volume 26 (2024)
Volume 26, Issue 2
Pg 71 - 134 (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,
Pg 1 - 101 (December 2022)
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Volume 22,
Pg 1 - 50 (June 2022)
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Volume 21, Issue 2
Pg 123 - 206 (December 2021)
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Pg 1 - 121 (June 2021)
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Volume 20, Issue 3
Pg 65 - 125 (October 2020)
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Pg 87 - 139 (June 2019)
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Pg 1 - 86 (February 2019)
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Pg 85 - 120 (October 2018)
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Volume 1, Issue 1
Pg 1 - 65 (June 2007)
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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
Journal Stats
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328
Citation count (Google Scholar):
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h-index (Google Scholar):
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