Filep, László (2003) Proportion theory in greek mathematics. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (2). pp. 167-174. ISSN 0866-0174
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Abstract
The concepts of ratio, equal ratio, proportion played an important role in ancient Greek mathematics. The Book V of Euclid's Elements contains a proportion theory of (geometrical) magnitudes based on the equal ratio definition of Eudoxus (Definition V.5). In this paper we study both the pre-Eudoxian theory of proportion, and the genesis of Eudoxus's definition.
| Item Type: | Article |
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| Uncontrolled Keywords: | Proportion theory, same ratio definition, Eudoxus, incommensurability |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 30 Jan 2024 11:48 |
| Last Modified: | 30 Jan 2024 11:50 |
| URI: | http://real.mtak.hu/id/eprint/186689 |
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