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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
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gre I,45
καὶ παραβεβλήσθω παρὰ τὴν ΗΘ εὐθεῖαν τῷ ΔΒΓ τριγώνῳ ἴσον παραλληλόγραμμον τὸ ΗΜ ἐν τῇ ὑπὸ ΗΘΜ γωνίᾳ, ἥ ἐστιν ἴση τῇ Ε.
Pic375
Pic653
eng
let the parallelogram GM equal to the triangle DBC be applied to the straight line GH, in the angle GHM which is equal to E. [I. 44]
lat Sic
Et parabeblistho penes IT rectam trigono DBG equale parallilogrammum IM in angulo ITM qui est equalis angulo E.
lat Gerard
et faciam super lineam ZK superficiem equidistantium laterum triangulo BGD equalem sitque ZKMH, cuius angulus HZK angulo L equetur. Dico igitur superficiem date figure rectilinee equalem constitutam fore cuius angulus data angulo rectilineo est equalis.
lat Adelard
Not in Adelard
lat Hermann
Omitted in Hermann's translation
ara Uppsala
No Arabic
ara Tuṣi p. 27
وعلى (ز ك) المساوى لـ(ه ط) [لد] سطح (ح زك م) مساويا لمثلث (ب ج د) وزاوية (ح زك) مساوية لزاوية (ل) اعنى لزاوية (ه) [مد]
ara Nairizi
No Arabic
san 60,11-12
jhakarekhopari vajhakamacaturbhujaṃ bajadatribhujasamaṃ kāryam | vajhakakoṇo lakoṇasamaḥ kāryaḥ |
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lat Clavius
Item super rectam G H, parallelogrammum G H I K, æquale triangulo B, habens angulum G, æqualem angulo D. Item super rectam I K, parallelogrammum I K L M, æquale triangulo C, habens angulum K, æqualem anglo D; Et sic deinceps procedatur, si plura fuerint triangula in dato rectilineo, factumque erit, quod iubetur. Nam tria parallelogramma constructa, quæ quidem æqualia sunt rectilineo dato A B C, conficiunt totum unum parallelogrammum, quod sic demonstratur.
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