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1. Archimedes: "Quadrature of the parabola" - MacTutor History …

   https://mathshistory.st-andrews.ac.uk/Extras/Archimedes_parabola/

   7 Mar 2023: We quote below the Preface to Archimedes' Quadrature of the parabola:-. ... areas exceeds the less can, by being added to itself, be made to exceed any given finite area [often known as the Axiom of Archimedes, this is almost certainly due to

2. Eudoxus PDF (637k)

   https://mathshistory.st-andrews.ac.uk/Strick/eudoxus.pdf

   5 Jul 2021: The theorem is based on an application of the so-called ARCHIMEDES' Axiom, which states that for every two sizes, a multiple of one size can be formed so that it ... It would have been quite appropriate if this principle had been named after EUDOXUS; for

3. Otto Stolz (1842 - 1905) - Biography - MacTutor History of…

   https://mathshistory.st-andrews.ac.uk/Biographies/Stolz/

   7 Mar 2023: Archimedes' axiom states that given two magnitudes. a. a. a and. ... b. b. b which exceeds. a. a. a. This can actually be traced back to Eudoxus but the term 'Archimedes' axiom' used today was coined by Stolz in 1882 in Zur

4. Earliest Known Uses of Some of the Words of Mathematics (A) -…

   https://mathshistory.st-andrews.ac.uk/Miller/mathword/a/

   30 Dec 2023: APPLIED MATHEMATICS. See the entry. PURE and APPLIED MATHEMATICS. The term ARBELOS is apparently due toin his "The Works of Archimedes" [Cambridge: At the University Press, 1897], remarks that:. ... The Lemmas cannot, however, have been written by

5. Archimedes (287 BC - 212 BC) - Biography - MacTutor History of…

   https://mathshistory.st-andrews.ac.uk/Biographies/Archimedes/

   30 Dec 2023: I G Basmakova, Differential methods in the works of Archimedes (Russian), Istor.-Mat. ... Student 42 (1974), 107-110. J Hjelmslev, Eudoxus' axiom and Archimedes' lemma, Centaurus 1 (1950), 2-11.

6. Hill Euclid - MacTutor History of Mathematics

   https://mathshistory.st-andrews.ac.uk/Extras/Hill_Euclid/

   7 Mar 2023: With perfect propriety, the author lays great stress upon the axiom of Archimedes, and there is throughout a commendable consistency in the method and spirit of the work. ... The frequent use of Archimedes' Axiom in this work is of great assistance to

7. - MacTutor History of Mathematics

   https://mathshistory.st-andrews.ac.uk/Extras/Whittaker_maths_logic/

   25 Apr 2024: A non-Archimedean geometry is one which denies the "axiom of Archimedes," namely that if two segments are given, there is always a multiple of the smaller that exceeds the larger. ... On this assumption, the axiom of Archimedes, to which reference was