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Euclid: Elementa

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Euclid: Elementa
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gre V,0
ιδ᾽ Σύνθεσις λόγου ἐστὶ λῆψις τοῦ ἡγουμένου μετὰ τοῦ ἑπομένου ὡς ἑνὸς πρὸς αὐτὸ τὸ ἑπόμενον.
eng
14. Composition of a ratio means taking the antecedent together with the consequent as one in relation to the consequent by itself.
lat Sic
Compositio proportionis est sumptio antecedentis cum consequenti ut unius ad ipsum consequens.
lat Gerard
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lat Adelard
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lat Hermann
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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per Shirazi
.
san
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lat Clavius
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kin 幾何原本 p. 226
第十四界
有合理。合前與後為一、而比其後。
甲乙與乙丙之比例。若丁戊與戊己。今合甲丙為一、而比乙丙。合丁己為一、而比戊己。卽推甲丙與乙丙。若丁己與戊己。是合兩前、後、率、為兩一率。而比兩後率也。
證見本卷十八。(p. 二二七)
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