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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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gre I,21
Ἐὰν τριγώνου ἐπὶ μιᾶς τῶν πλευρῶν ἀπὸ τῶν περάτων δύο εὐθεῖαι ἐντὸς συσταθῶσιν, αἱ συσταθεῖσαι τῶν λοιπῶν τοῦ τριγώνου δύο πλευρῶν ἐλάττονες μὲν ἔσονται, μείζονα δὲ γωνίαν περιέξουσιν.
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eng
If on one of the sides of a triangle, from its extremities, there be constructed two straight lines meeting within the triangle, the straight lines so constructed will be less than the remaining two sides of the triangle, but will contain a greater angle.
lat Sic
Si trigoni super unum laterum a terminis due recte interius fuerint constitute, ipse reliquis trigoni duobus lateribus minores quidem erunt, maiorem vero angulum continebunt.
lat Gerard
Si a quolibet latere ex lateribus trianguli due recte linee ab eius extremitatibus exeuntes infra triangulum coniungantur, tunc ipse duobus reliquis lateribus ex lateribus trianguli minores erunt. Angulus autem, quem continebunt, maior erit angulo, qui ab illis duobus lateribus comprehenditur,
lat Adelard
Si protracte fuerint due linee de duabus extremitatibus unius lateris trianguli convenerintque earum extremitates supra punctum infra triangulum, erunt ille duabus reliquis trianguli lineis minores angulusque ab eis contentus angulo a lateribus superioris trianguli contento maior.
lat Hermann
Si de duobus terminalibus punctis eiusdem lateris trianguli due linee exierint que intra illum triangulum ad unum punctum conveniant: eedem linee duabus reliquis trianguli lineis breviores erunt, maiorem vero angulum continebunt.
ara Uppsala
No Arabic
ara Tuṣi p. 12
كل خطين خرجا طرفى ضلع مثلث وتلاقيا داخلة فهما معا اقصر من ضلعيه الباقيين و زاويتهما اعظم من زاوية الضلعين
ara Nairizi p. 96
كل مثلث يخرج (ع) من طرفى ضلع من اضلاعه خطان يلتقى طرفاهما على نقطة فى داخل المثلث فانهما اقصر (ط) ضلعى المثلث الباقيين ولكنهما يحيطان بزاوية اعظم من الزاويث التى يحيط بها ضلعا المثلث.
san
tatra tribhujaikabhujobhayaprāntāt niḥsṛte rekhe tribhujāntarmilite tadbhujayor yogaḥ tribhujayogān nyūno ’sti atha cāntargatabhujarekhāyogotpannakoṇaḥ tribhujaśeṣabhujadvayayogakoṇād adhiko ’sti ||
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lat Clavius
SI super trianguli uno latere, ab extremitatibus duæ rectæ lineæ interius constitutæ fuerint; hæ constitutæ reliquis trianguli duobus lateribus minores quidem erunt, maiorem vero angulum continebunt.
kin 幾何原本 p. 45
凡三角形。於一邊之兩界、出兩線。復作一三角形、在其內。則內形兩腰。幷之必小於相對兩腰。而後兩線所作角。必大於相對角。
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