Why rob Archimedes of his Lemma? (Q879757)
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scientific article; zbMATH DE number 5151041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Why rob Archimedes of his Lemma? |
scientific article; zbMATH DE number 5151041 |
Statements
Why rob Archimedes of his Lemma? (English)
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9 May 2007
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This article emphasizes Archimedes' original contribution to the principle or lemma of Archimedes (in modern terms, given two homogeneous magnitudes \(a, b\), there exists an integer \(n\) so that \(na>b\)), which tends to be attributed to Eudoxus before him. According to the author, Archimedes had to develop the lemma, because he dealt with more complex problems including the length of curved lines.
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Eudoxus-Archimedes Lemma
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Method of exhaustion
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Ratio between magnitudes
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