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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
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gre I,13
ὅπερ ἔδει δεῖξαι.
Pic341
Pic638
eng
Q. E. D.
lat Sic
Quod oportet (ostendere).
lat Gerard
Et hoc est quod demonstrare voluimus.
lat Adelard
Et hoc est quod in hac figura demonstrare intendimus.
lat Hermann
No Latin
ara Uppsala
[{7r,14}] وذلك ما أردنا أن نبين
Pic440
ara Tuṣi
وذلك ما أردناه
ara Nairizi p. 78
وذلك ما اردنا ان نبين.
san 20,14
idam evāsmākam abhīṣṭam |
Pic700
lat Clavius
Quod ostendere oportebat.

SCHOLION
VIDETVR hæc propositio pendere ex communi quadam animi notione. Quo enim angulus A B C, superat rectum angulum E B C, eo reliquus angulus A B D, superatur ab angulo recto E B D. Nam sicut ibi excessus est angulus A B E, ita hic defectus est idem angulus A B E. Quocirca anguli A B C, A B D, duobus rectis æquales esse convincuntur, siquidem tantum unus eorum supra rectum acquirit, quantum alter deperdit.
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