Axiom of Archimedes/Historical Note

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Historical Note on the Axiom of Archimedes

The Axiom of Archimedes appears as Axiom $\text V$ of Archimedes' On the Sphere and Cylinder.

It also appears in his On the Quadrature of the Parabola, where he words it (up to translation) as:

the excess by which the greater of (two) unequal areas exceeds the less can, by being added to itself, be made to exceed any given finite area.

The name Axiom of Archimedes was given by Otto Stolz in his $1882$ work: Zur Geometrie der Alten, insbesondere über ein Axiom des Archimedes.


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