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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,24
Ἐὰν δύο τρίγωνα τὰς δύο πλευρὰς [ταῖς] δύο πλευραῖς ἴσας ἔχῃ ἑκατέραν ἑκατέρᾳ, τὴν δὲ γωνίαν τῆς γωνίας μείζονα ἔχῃ τὴν ὑπὸ τῶν ἴσων εὐθειῶν περιεχομένην, καὶ τὴν βάσιν τῆς βάσεως μείζονα ἕξει.
Pic354
Pic642
eng
If two triangles have the two sides equal to two sides respectively, but have the one of the angles contained by the equal straight lines greater than the other, they will also have the base greater than the base.
lat Sic
Si duo trigona duo latera duobus lateribus equalia habent, utrumque utrique, angulum vero angulo maiorem habent qui sub equalibus rectis continetur, et basim basi maiorem habebunt.
lat Gerard
Omnium duorum triangulorum, quorum duo latera unius duobus lateribus alterius fuerint equalia, quodque suo relativo, sed angulus qui comprehenditur a duobus lateribus unius eorum maior existit angulo qui a duobus lateribus alterius trianguli sibi equalibus comprehenditur, erit basis trianguli maioris anguli maior base alterius trianguli.
lat Adelard
Omnium duorum triangulorum quorum duo latera unius duobus lateribus alterius fuerint equalia, si unus angulus contentorum sub illis equalibus lateribus fuerit altero maior, erit alkaida ipsius alkaida alterius maior.
lat Hermann
Omnium duorum triangulorum quorum unius duo latera duobus lateribus alterius equalia fuerint si fuerit angulorum sub illis equis lateribus contentorum alter altero maior: basis eciam eiusdem basi alterius erit maior.
ara Uppsala
No Arabic
ara Tuṣi p. 14
اذا ساوى ساقا مثلث ساقى مثلث آخر كل لنظيره وكانت الزاوية التى بين الاولين اعظم من التى بين الاخرين كانت قاعدة الاولين اطول من قاعدة الاخرين ❊
ara Nairizi p. 100-102
كل مثلثين يساوى ضلعان من احدهما ضلعين من الآخر كل ضلع لنطيره وتكون احدى الزاويتين اللتين يحيط بهما الاضلاع ١٠٢المتساوية اعظم من الزاوية الاخرى فان الضلع الباقى الذى يوتر الزاوية العظمى اعظم من الضلع الباقى من المثلث الاخر الذى يوتر الزاوية الصغرى
san 31,14-17
tatrābhīṣṭatribhujasya bhujadvayaṃ anyatribhujabhujadvayasamānam asti tatra prathamatribhujasya bhujadvayasaṃbandhikoṇo dvitīyatribhujadvayajanitāntargatakoṇād adhikaś ced asti tadā prathamasya tṛtīyabhujaḥ dvitīyasya tṛtīyabhujān niyamena adhikaḥ syāt |
Pic717
lat Clavius
SI duo triangula duo latera duobus lateribus æqualia habuerint, utrumque utrique, angulum vero angulo maiorem sub æqualibus rectis lineis contentum: Et basin basi maiorem habebunt.
kin 幾何原本 p. 49
兩三角形。相當之兩腰、各等。若一形之腰間角大。則底亦大。
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