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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
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gre VΙΙI,12
ὅπερ ἔδει δεῖξαι.
Pic2681
eng
Q. E. D.
lat Sic
Quod oportet ostendere.
(Scholium) [Proprer terminum (quinti) dicentem: si quattuor quantitates proportionales fuerint, prima ad quartam triplam proportionem habere dicitur quam ad seeundam, hoc est, lxiiii ad xxvii triplam proportionem habere dicitur quam ad xlviii. Numeri enim xxvii tertia est ix, hec apposita numero xxvii fit xxxvi: proportio una epitrita. Rursum numeri xxxvi tertia xii, hec addita numero xxxvi faciunt xlviii: proportio secunda epitrita. Rursum numeri xlviii tertia xvi apposita numero xlviii fiunt lxiiii: proportio tertia epitrita. Quare quam proportionem habet lxiiii ad xlviii epitritam hanc ad xxvii triplicatam proportionem habet].
lat Gerard
No Latin
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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san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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