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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
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gre I,8
Ἐὰν ἄρα δύο τρίγωνα τὰς δύο πλευρὰς [ταῖς] δύο πλευραῖς ἴσας ἔχῃ ἑκατέραν ἑκατέρᾳ καὶ τὴν βάσιν τῇ βάσει ἴσην ἔχῃ, καὶ τὴν γωνίαν τῇ γωνίᾳ ἴσην ἕξει τὴν ὑπὸ τῶν ἴσων εὐθειῶν περιεχομένην:
Pic336
Pic635
eng
If therefore etc.
lat Sic
Si ergo duo trigona etc.
lat Gerard
Cum ergo duo latera unius trianguli duobus lateribus alterius trianguli equantur, quodque suo relativo, et basis basi equalis existit, tunc duo anguli duobus lateribus equalibus utriusque trianguli comprehensi sunt equales.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
فاذن المطلوب ثابت1
1. This proposition wishes to prove that the angles which are contained by the equal straight lines will be equal. Even though these angles are mentioned in the original statement at the beginning, it is not followed up in the Tuṣi version, and the original idea seems lost throughout and at the end.
ara Nairizi p. 66
فكل مثلثين تساوى ضلعان من احدهما ضلعين من الاخر كل ضلع لنظير وتساوى القاعدة القاعدة فان الزاويتين اللتين يحيط بهما الاضلاع المتساوية متساويتان
per Shirazi p. 26,19
بس حکم ثابت باشد
san 15,5–7
tasmāt tribhujaṃ tribhu(6)jopari sthāsyaty eva | koṇā api (7) koṇasamānā bhavanty eva |
Pic682
lat Clavius
Quare si duo triangula duo latera habuerint duobus lateribus, &c.
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