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Euclid: Elementa

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gre IΙ,2
Ἐὰν εὐθεῖα γραμμὴ τμηθῇ, ὡς ἔτυχεν, τὸ ὑπὸ τῆς ὅλης καὶ ἑκατέρου τῶν τμημάτων περιεχόμενον ὀρθογώνιον ἴσον ἐστὶ τῷ ἀπὸ τῆς ὅλης τετραγώνῳ.1
Pic616
Pic656
1. ab+ac=a2 if a=b+c.
eng
If a straight line be cut at random, the rectangle contained by the whole and both of the segments is equal to the square on the whole.
lat Sic
Si recta linea dividatur, ut accidit, que sub tota et utraque portionum continentur orthogonia equalia sunt ei quod a tota tetragono.
lat Gerard
Si linea recta fuerit divisa in divisiones, quocumque modo accidat, superficies rectorum angulorum que comprehenduntur ab illa linea tota et ab unaquaque ex divisionibus eius quadrato ex tota linea facto sunt equales.
lat Adelard
Si fuerit linea in partes divisa, erit illud quod ex ductu ipsius in omnes partes suas sicut quod ex ductu ipsius in seipsam.
lat Hermann
Omnis linea in partes divisa, quod in semetipsam ducta generat, equum reddit eis, que ex ductu eius in omnes partes suas procreantur.
ara Uppsala
No Arabic
ara Tuṣi
مجموع سطوح الخط فى اقسامه يساوى مربعه ❊
Pic953
ara Nairizi p. 10
كل خط مستقيم يقسم باقسام كم كانت فان مربع الخط كله مساو لجماعة السطوح التى يحيط بها الخط كله مع كل واحد من اقسامه
san 79,20_21
tatra rekhā svakhaṇḍaiḥ pṛthak guṇitā tadyogaḥ rekhāvargasamaḥ syāt |
lat Clavius
SI recta linea secta sit vtcunque: Rectangula, quæ sub tota, & quolibet segmentorum comprehenduntur, æqualia sunt ei, quod à tota sit, quadrato.
kin 幾何原本 p. 87
一直線。任兩分之。其元線上直角方形。與元線偕兩分線、兩矩內直角形幷、等。
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