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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
Click to Expand/Collapse OptionBook IV
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gre I,23
ὅπερ ἔδει ποιῆσαι.
Pic352
Pic642
eng
Q. E. F.
lat Sic
Quod oportet (ostendere).
lat Gerard
Et hoc est quod facere voluimus.
lat Adelard
Et hoc est quod in hac figura demonstrare intendimus.
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 14
والتى اردناها
ara Nairizi p. 100
وذلك ما اردنا ان نبين.
san 31,11-12
idam evābhīṣṭam |
Pic716
lat Clavius
Quod facere oportebat.

PRAXIS
NON differt huius problematis praxis ab illa, quam in præcedente problemate tradidimus; propterea quod triangulum constituere oportet æquale alteri triangulo, ut angulus dato angulo æqualis exhibeatur, ut perspicuum est. Facilius tamen hac arte problema efficies. Sit linea data A B, punctumque in ea C, & angulus datus E. Centro igitur E, & interuallo quouis arcus describatur G H: Eodemque interuallo ex centro C, arcus describatur I K, sumaturque beneficio circini arcus I K, arcui G H, æqualis. Recta enim ducta C K, faciet angulum ad C, æqualem angulo E. Nam si ducerentur rectæ I K, G H, essent ipsæ æquales, propterea quod circino non variato utramque distantiam I K, G H, accepimus. Cum ergo & duo latera I C, C K, æqualia sint duobus G E, E H, ob æqualia interualla, quibus arcus sunt descripti; erunt anguli I C K, G E H, æquales.
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