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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 IΙ,6
Ἐὰν εὐθεῖα γραμμὴ τμηθῇ δίχα, προστεθῇ δέ τις αὐτῇ εὐθεῖα ἐπ᾽ εὐθείας, τὸ ὑπὸ τῆς ὅλης σὺν τῇ προσκειμένῃ καὶ τῆς προσκειμένης περιεχόμενον ὀρθογώνιον μετὰ τοῦ ἀπὸ τῆς ἡμισείας τετραγώνου ἴσον ἐστὶ τῷ ἀπὸ τῆς συγκειμένης ἔκ τε τῆς ἡμισείας καὶ τῆς προσκειμένης τετραγώνῳ.1
Pic620
Pic659
1. (2a + b)b + a2 = (a + b)2= (2ΑΓ + BΔ)ΒΔ + ΑΓ2 = (ΑΓ + BΔ)2.
eng
If a straight line be bisected and a straight line be added to it in a straight line, the rectangle contained by the whole with the added straight line and the added straight line together with the square on the half is equal to the square on the straight line made up of the half and the added straight line.
lat Sic
Si recta linea dividatur in duo equalia, apponatur autem quedam ipsi recta in directo, sub tota cum adiacente et adiacente contentum orthogonium cum eo quod a dimidia tetragono equale est ei quod a composita ex dimidia et adiacente ut ab una descripto tetragono.
lat Gerard
Si linea recta in duas dividatur medietates et recta linea in ipsius rectitudine ei addatur, superficiesrectorum angulorum que continetur a tota prima linea et addita et addita cum quadrato facto ex medietate prime linee quadrato facto ex linea composita ex medietate prime et addita equalis erit.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 40
كل خط نصف و زيد فيه خط آخر على استقامته فمجموع سطح الخط مع الزيادة فى الزيادة ومربع النصف يساوى مربع النصف مع الزيادة ❊
ara Nairizi p. 28-30
اذا قسم خط مستقيم بنصفين وزيد فى طوله خط اخر مستقيم فان السطح الذى يحيط به الخط كله مع الزيادة والزيادة ومربع ٣٠ نصف الخط الاول مساو لمربع نصف الخط مع الزيادة
san
No Sanskrit
lat Clavius
SI recta linea bifariam secetur, & illi recta quædam linea in rectum adiiciatur: Rectangulum comprehensum sub tota cum adiecta, & adiecta, vna cum quadrato a dimidia, æquale est quadrato a linea, quæ tum ex dimidia, tum ex adiecta componitur, tanquam ab vna, descripto.
kin 幾何原本 p. 95
一直線。兩平分之。又任引增一直線。共為一全線。其全線、偕引增線、矩內直角形。及半元線上直角方形、幷。與半元線偕引增線、上直角方形等。
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