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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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Click to Expand/Collapse OptionBook IΙΙ
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gre I,10
Ἐπεὶ γὰρ ἴση ἐστὶν ἡ ΑΓ τῇ ΓΒ, κοινὴ δὲ ἡ ΓΔ, δύο δὴ αἱ ΑΓ, ΓΔ δύο ταῖς ΒΓ, ΓΔ ἴσαι εἰσὶν ἑκατέρα ἑκατέρᾳ:
Pic338
Pic636
eng
For, since AC is equal to CB, and CD is common, the two sides AC, CD are equal to the two sides BC, CD respectively;
lat Sic
Quoniam enim equalis est recta AG recte GB, communis vero GD, due ergo AG et GD duabus BG et GD sunt equales, utraque utrique,
lat Gerard
Probatio huius: Quia linea AG, ut positum est, linee GB equalis existit, linea GD existente communi, erunt due linee AG; GD duabus lineis BG; GD equales, queque illarum sue relative.
lat Adelard
Quoniam igitur lineam GA linee GB equalem ostendimus, lineamque GD cornmunem, erunt linee AG et GD lineis BG et GD vicissim equales.
lat Hermann
Linea siquidem GA equalis GB et GD communis utrique qua racione eas que sunt GA et GD eis que sunt GB et GD coequat
ara Uppsala
فلأن خط (ا ج) مساو لخط (ج ب) وخط (ج د) مشترك يكون [{6r,11}] كلا خطي (ا ج) (ج د) مساويين لكلي خطي (ب ج) (ج د) كل [{6r,12}] واحد لنظيره
ara Tuṣi
وذلك لأن في مثلثي (ا ج د) (ب د ج) ضلعي (ا ج) (ج د) وزاوية [{9,9}] (ا ج د) مساوية لضلعي (ب ج) (ج د) وزاوية (ب ج د)
ara Nairizi p. 70
فضلع (ا ج) من مثلث (ا ج د) مثل ضلع (ب ج) من مثلث (ب ج د) ناخذ ضلع مشتركا فضلع (ا ج) (ج د) مساويان لضلعى (ب ج) (ج د) كل ضلع لنظيره
per Shirazi p. 27,18-19
جه ا ج، ج د و زاویه ا ج د مساوی ب ج، ج د و زاویه ب ج د باشد
san 17,5–6
atropapattiḥ | adajatrubhuje ajabhujaḥ jadabhujaḥ ajadakoṇaś ca dajavatribhuja(6)sthena bajabhujena jadabhujena jadabhujena bajadakoṇena ca samāṇaḥ |
Pic692
lat Clavius
Quoniam duo latera A C, C D, trianguli A C D, æqualia sunt duobus lateribus B C, C D, trianguli B C D, utrumque utrique, nempe A C, ipsi B C, cum sint ambo latera trianguli æquilateri, & C D, est commune;
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