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Euclid: Elementa

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17. A ratio ex aequali arises when, there being several magnitudes and another set equal to them in multitude which taken two and two are in the same proportion, as the first is to the last among the first magnitudes, so is the first to the last among the second magnitudes;
Or, in other words, it means taking the extreme terms by virtue of the removal of the intermediate terms.
lat Clavius
No Latin
kin 幾何原本 p. 228-229
第十七界
有平理。彼此幾何。各自三以上。相為同理之連比例。則此之第一與三。若彼之第一與三。又曰。去其中。取其首尾。
甲、乙、丙、三幾何。丁、戊、己、三幾何。等數。相為同理之連比例者。甲與乙、若丁與戊。乙與丙、若戊與己也。今平推首甲、與尾丙。若首丁、與尾己。(p. 二二九)
平理之分。又有二種。如後二界。
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