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Articles

A Unified Geometric Proof of Aristarchus’ Inequality

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Pages 293-299 | Received 06 Jun 2022, Accepted 09 Jun 2023, Published online: 26 Apr 2024

References

  • Archimedes of Syracuse. The sand reckoner. In: Heath T, editor. The works of Archimedes: edited in modern notation with introductory chapters (Cambridge Library Collection - Mathematics). Cambridge: Cambridge University Press; 2009. p. 221–232. DOI: 10.1017/CBO9780511695124.017.
  • Ptolemaei C. Opera quae exstant omnia–Syntaxis mathematica. (Pars I: Libros I-VI Continens), Cambridge Library Collection - Classics, Heiberg JL, ed. 1898. print publication in 2013. DOI: 10.1017/CBO9781139628624.
  • Thomas Little Heath. Aristarchus of Samos, the Ancient Copernicus: a history of Greek Astronomy to Aristarchus, together with Aristarchus’s Treatise on the sizes and distances of the Sun and Moon. 1st ed. Oxford: Claredon Press. January 1, 1913. ISBN-10: 9333306315.
  • EuYu. Proof of Aristarchus’ inequality. Mathematics Stack Exchange, August 31, 2015. (Last accessed on May 10th, 2023). Available from: https://math.stackexchange.com/questions/536253/proof-of-aristarchus-inequality.
  • Nelsen RB. Proof without words: Aristarchus’ inequalities. Math Mag. 1993;66(1):65–65. DOI: 10.1080/0025570X.1993.11996083.
  • Aristarchus of Samos. De magnitudinibus, et distantiis solis, et lunae, liber. apud Camillum Francischinum, 1572. please see the digital version at DOI: 10.3931/e-rara-1745.

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