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Euclid: Elementa
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gre I,28
Ἐπεὶ γὰρ ἴση ἐστὶν ἡ ὑπὸ ΕΗΒ τῇ ὑπὸ ΗΘΔ, ἀλλὰ ἡ ὑπὸ ΕΗΒ τῇ ὑπὸ ΑΗΘ ἐστιν ἴση,
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Pic645
eng
For, since the angle EGB is equal to the angle GHD, while the angle EGB is equal to the angle AGH, [I. 15]
lat Sic
Quoniam enim equalis est angulus EIB angulo ITD, sed angulus EIB angulo AIT est equalis,
lat Gerard
Probatio huius: Quia angulus EZB angulo AZH et angulo DHZ est equalis,
lat Adelard
Rationis causa: Quoniam enim angulus HHB sicut angulus HTD, angulus autem BHH sicut AHT.
lat Hermann
Nam angulus EHB equalis est AHT, cum ergo angulo HTD equalis fuerit,
ara Uppsala
No Arabic
ara Tuṣi p. 16
وذلك لان كون زاوية (ه زب) مساوية لكل واحدة من زاويتى (ا زح) (زح د)
ara Nairizi p. 116
برهانه ان زاوية (ه ح ب) مساوية لزاوية (ح ط د) ولكن زاوية (ه ح ب) مساوية لزاوية (ا ح ط) وذلك بحسب برهان (يه) من (ا)
per Shirazi
.
san 36,21-22
atropapattiḥ1 |
tatra hajabakoṇaḥ ajhavakoṇasamāno ’sti | jhavadakoṇasyāpi samanānaḥ |
Pic724
1. Note that the angles treated in the Sanskrit version are not the same as those in the Greek, but the arguments amount to the same.
lat Clavius
Quoniam enim angulo E G A, æqualis ponitur angulus G H C; & eidem angulo E G A, æqualis est angulus H G B;
kin 幾何原本
.
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