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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,21
Τριγώνου γὰρ τοῦ ΑΒΓ ἐπὶ μιᾶς τῶν πλευρῶν τῆς ΒΓ ἀπὸ τῶν περάτων τῶν Β, Γ δύο εὐθεῖαι ἐντὸς συνεστάτωσαν αἱ ΒΔ, ΔΓ:1
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1. The lettering on the image is wrong, Ε and Δ have been exchanged, see also Bod.
eng
On BC, one of the sides of the triangle ABC, from its extremities B, C, let the two straight lines BD, DC be constructed meeting within the triangle;
lat Sic
Trigoni enim ABG super unum laterum quod sit BGA terminis B et G due recte interius constituantur BD et DG.
lat Gerard
Exempli causa: Sit triangulus super quem sunt ABG, et super latus BG ex lateribus trianguli ABG erigantur due recte linee exeuntes ab extremitatibus eius , et cadentes infra triangulum super quas sunt BD; DG.
lat Adelard
Exempli gratia: Sit triangulus ABG protrahanturque de duabus summitatibus lateris BG due linee ad punctum D. Sintque BD et DG.
lat Hermann
Ut si in triangulo ABG consurgant a punctis B G latera duo que intra triangulum ad punctum E conveniant, exeatque deinde utrumlibet latus directe usque ad maioris attactum in punctum D,
ara Uppsala
No Arabic
ara Tuṣi p. 12
فليكن المثلث (ا ب ج) وقد خرج من طرفى (ب ج) خطا (ب د) (ج د) وتلاقيا على (د)
ara Nairizi p. 96
مثاله ان مثلث (ا ب ج) قد خرج من طرفى ضلع (ب ج) منه خطا (ب د) (ج د) والتقى طرفاهما داخل المثلث غلى نقطة (د)
san 27,6-7
yathā abajatribhuje bajabhujobhayaprāntān niḥsṛte badajarekhe dacihne milite staḥ |
Pic713
lat Clavius
IN triangulo A B C, super extremitates B, & C, lateris B C, intra triangulum constituantur duæ rectæ lineæ B D, C D, in puncto D, concurrentes.
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