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Mathematical Education, 2023, Issue 1(105), Pages 54–66
(Mi mo831)
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From the history of mathematics
Fractions for $\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$, quasi-pythagorean triples and the appearance of the royal cubit, foot and inch in Egypt during the Old Kingdom. Part II
A. N. Kovalev
Abstract:
It is hypothesized that in the Old Kingdom, after finding the fraction 47/21 for $\sqrt{5}$, discovered by Shchetnikov when analyzing the proportions of the burial chamber of the Great Pyramid, an inch was introduced as 1/21 of the royal cubit. Examples are given from architecture and religious art in which the inch was used.
Citation:
A. N. Kovalev, “Fractions for $\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$, quasi-pythagorean triples and the appearance of the royal cubit, foot and inch in Egypt during the Old Kingdom. Part II”, Math. Ed., 2023, no. 1(105), 54–66
Linking options:
https://www.mathnet.ru/eng/mo831 https://www.mathnet.ru/eng/mo/y2023/i1/p54
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