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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
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gre I,25
Ἐὰν δύο τρίγωνα τὰς δύο πλευρὰς δυσὶ πλευραῖς ἴσας ἔχῃ ἑκατέραν ἑκατέρᾳ, τὴν δὲ βάσιν τῆς βάσεως μείζονα ἔχῃ, καὶ τὴν γωνίαν τῆς γωνίας μείζονα ἕξει τὴν ὑπὸ τῶν ἴσων εὐθειῶν περιεχομένην.
Pic353
Pic643
eng
If two triangles have the two sides equal to two sides respectively, but have the base greater than the base, they will also have the one of the angles contained by the equal straight lines greater than the other.
lat Sic
Si duo trigona duo latera duobus lateribus equalia habent, utrumque utrique, basim vero basi maiorem habent, et angulum angulo maiorem habebunt qui sub equalibus rectis continetur.
lat Gerard
Si fuerint duo trianguli quorum unius duo latera duobus lateribus alterius sint equalia, unumquodque eorum suo relativo, sed sit basis unius maior base alterius, erit angulus qui comprehenditur a lateribus trianguli maioris basis maior angulo qui continetur a lateribus alterius trianguli equalibus istis.
lat Adelard
Omnium duorum triangulorum quorum unius duo latera duobus lateribus alterius unumquodque se respicienti fuerint equalia, alkaidaque unius alkaida alterius maior fuerit, erit angulus trianguli maioris alkaide duobus equalibus lateribus contentus angulo alterius trianguli se respiciente maior.
lat Hermann
Omnium duorum triangulorum quorum unius duo latera duobus lateribus alterius equalia, bases autem inequales fuerint, angulus trianguli maioris basis equis illis lateribus contentus angulo alterius se respiciente maior erit.
ara Uppsala
No Arabic
ara Tuṣi p. 15
اذا ساوى ساقا مثلث ساقى مثلث آخر كل لنظيره و كانت قاعدة الاولين اطول كانت زاويتهما اعظم ❊
ara Nairizi p. 104
كل مثلثين (ع) يساوى ضلعان من احدهما ضلعين من الاخر كل ضلع لنظيره والضلع الباقى من احدهما اعظم من الضلع الباقى من المثلث الاخر فان زاوية المثلث التى يوترها الضلع الاعظم اعظم (ط) من الزاوية الاخرى التى يوترها الضلع الاصغر
san 33,2-5
tatraikasya tribhujasya bhujadvayaṃ dvitīyatribhujasya bhujadvayena samānaṃ prathamasya tṛtīyabhujaś ca dvitīyasya tṛtīyatribhujād adhikas tadā prathaatribhujasya samānabhujadvayotpannakoṇo dvitīyatribhujasya bhujadvayāntargatakoṇād adhikaḥ syāt |
Pic720
lat Clavius
SI duo triangula duo latera duobus lateribus æqualia habuerint, utrumque utrique, basin vero basi maiorem: Et angulum sub æqualibus rectis lineis contentum angulo maiorem habebunt.
kin 幾何原本 p. 51
兩三角形。相當之兩腰各等。若一形之底大、則腰間角亦大。
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