Approximating cube roots of integers, after Heron's Metrica III.20

Trond Steihaug; D. G. Rogers

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arXiv · 1905.03547

Approximating cube roots of integers, after Heron's Metrica III.20

Trond Steihaug·D. G. Rogers

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Abstract

Heron, in Metrica III.20-22, is concerned with the the division of solid figures - pyramids, cones and frustra of cones - to which end there is a need to extract cube roots. We report here on some of our findings on the conjecture by Taisbak in C.M.Taisbak, Cube roots of integers. A conjecture about Heron's method in Metrika III.20. Historia Mathematica, 41 (2014), 103-104.

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Trond Steihaug, D. G. Rogers. 2019-05-09. Approximating cube roots of integers, after Heron's Metrica III.20. https://arxiv.org/abs/1905.03547

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