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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
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gre I,12
Ἐπεὶ γὰρ ἴση ἐστὶν ἡ ΗΘ τῇ ΘΕ, κοινὴ δὲ ἡ ΘΓ,
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eng
For, since GH is equal to HE, and HC is common,
lat Sic
Quoniam enim equalis est IT recta recte TE, communis vero GT,
lat Gerard
Probatio huius: Quia linea EH linee HZ equalis existit, linea GH ente communi,
lat Adelard
Cum itaque punctus G centrum sit circuli, erit linea GH linee GZ equalis. Cum autem HH equalis sit linee HZ , linea vero HG communis,
lat Hermann
Hanc itaque penitus idem quod superioris est argumentum confirmat. Nam et inter ipsas sicut et superiorum duarum proxima est cognacio.
ara Uppsala
فلأن خط (ه ح) مساو لخط (ح ز) وخط (ج ح) مشترك
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ara Tuṣi
وذلك لأنا إذا وصلنا (ج ه) (ج ز) كانت أضلاع مثلثي (ج ه ح) (ج ز ح) النظائر متساوية1
1. Ṭūsī’s proof is truncated, see following records.
ara Nairizi p. 74
برهانه ان ضلع (ه ح) من مثلث (ج ه ح) مساو لضلع (ح ز) من مثلث (ز خ ج) وناخذ (ح ج) مشتركا
per Shirazi p. 28,16-17
جه ما جون ج ه ، ج ز اخراج کنیم در مثلثها ج ه ح ، ج ز ح اضلاع نظایر1
1. Cf. note on Tūṣī above.
san 19,2-6
jaharekhā jajharekhā kāryā | jahava(3)tribhuje jahajajhaṃ samānam | (4) ubhayaṃ ca vṛttasya vyāsārddhatulyam asti | havaṃ (5) bajhaṃ ubhayaṃ samānaṃ pūrvakṛtam asti | javaṃ (6) ubhayos tribhujayorbhujo ’sti |
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lat Clavius
Si enim ducantur C D, C E,
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Enhet: Det humanistiske fakultet   Utviklet av: IT-seksjonen ved HF
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