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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
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Click to Expand/Collapse OptionBook I
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gre I,8
Ἐὰν δύο τρίγωνα τὰς δύο πλευρὰς [ταῖς] δύο πλευραῖς ἴσας ἔχῃ ἑκατέραν ἑκατέρᾳ, ἔχῃ δὲ καὶ τὴν βάσιν τῇ βάσει ἴσην, καὶ τὴν γωνίαν τῇ γωνίᾳ ἴσην ἕξει τὴν ὑπὸ τῶν ἴσων εὐθειῶν περιεχομένην.
Pic336
Pic635
eng
If two triangles have the two sides equal to two sides respectively, and have also the base equal to the base, they will also have the angles equal which are contained by the equal straight lines.
lat Sic
Si duo trigona duo latera duobus lateribus equalia habent, utrumque utrique, habent vero et basim basi equalem, et angulum angulo equalem habebunt qui sub equalibus rectis continetur.
lat Gerard
Cum duo latera unius trianguli duobus lateribus alterius trianguli fuerint equalia, quodque suo relativo, et basis fuerit basi equalis, erunt duo anguli qui a duobus lateribus cuiusque trianguli equalibus comprehenduntur equales.
lat Adelard
Omnium duorum triangulorum quorum duo latera unius duobus lateribus alterius trianguli fuerint equalia, basisque unius basi alterius equalis, erunt duo anguli equalibus lateribus contenti equales.
Pic981
lat Hermann
Omnium duorum triangulorum quorum duo latera unius duobus lateribus alterius fuerint equalia basisque basi equalis: duo anguli equis istis lateribus contenti erunt equales.
ara Uppsala
No Arabic
ara Tuṣi p. 8
اذا ساوى كل واحد من اضلاع مثلث كل واحد من اضلاع مثلث آخر تساوت زواياهما كل لنظيرتها وتساوى المثلثان ❊
ara Nairizi p. 66
كل مثلثين (ء) تساوى ضلعان من احدهما ضلعين من الاخر كل ٦٦ ضلع (ضلع) لنظيره وتساوى القاعدة القاعدة الزاويتين اللتين يخيط بهما الاضلاع المتساوية من المثلثين متساويتان (ط)
san 14,11–12
yasya tribhujasya bhujatrayam anyatri bhujasya bhujaiḥ samānam bhavati (12) tadā yasya koṇatrayam api anyatri bhujakoṇair avaśyam samānaṃ bha(13)viṣyati |
Pic682
lat Clavius
SI duo triangula duo latera habuerint duobus lateribus; vtrumque vtrique æqualia, habuerint verò & basim basi æqualem: Angulum quoque sub æqualibus rectis lineis contentum angulo æqualem habebunt.
kin 幾何原本 p. 31
兩三角形。若相當之兩腰各等。兩底亦等。則兩腰間角必等。
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