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Euclid: Elementa

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gre I,0
ς' Καὶ τὰ τοῦ αὐτοῦ ἡμίση ἴσα ἀλλήλοις ἐστίν.]
Pic631
eng
(No English)
lat Sic
Et eiusdem dimidia alternis equalia sunt.
lat Gerard
[ 7.] Ea quoque quorum unumquodque eiusdem rei est medium, sunt equalia.
lat Adelard
Si fuerint res quarum unaqueque sit media pars uniuscuiuslibet rei, unaqueque earum erit equalis alteri.
lat Hermann
Si fuerint due res quarum utraque unius eiusdemque dimidium [aut duplum] sit: utraque erit equalis alteri.
ara Uppsala 3r1-2
[٧] والتي كل واحد منها نصف لواحد بعينه فهي أيضا متساوية '
ara Tuṣi
[...]
ara Nairizi p. 28
والتى كل واحد منها نصف لواحد بعينه فبعضها مساو لبعض
Pic827
san 7,16
No Sanskrit
lat Clavius p. 27
VII. ET quæ eiusdem sunt dimidia, inter se æqualia sunt.
Et contra, Quæ æqualia sunt, eiusdem sunt dimidia. PARI ratione, quæ eiusdem sunt partes tertiæ, vel quartæ, vel quintæ, &c. inter se æqualia sunt. IN his duobus pronunciatis per eandem quantitatem, intelligi debent quantitates etiam æquales. Nam quæ æqualium duplicia sunt, vel triplicia, &c. inter se æqualia quoque sunt: Item, quæ æqualium sunt dimidia, vel tertia, vel quarta, &c. & inter se æqualia necessario existunt. Partem quoque secundam huiusce axiomatis nos adiunximus, propterea quod non minus frequenter, quàm prima, à Geometris vsurpatur.
kin 幾何原本 p.16
第七論
有多度俱半於此度。則彼多度亦等。
Pic426
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