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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
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
Click to Expand/Collapse OptionBook IV
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gre I,14
Πρὸς γάρ τινι εὐθείᾳ τῇ ΑΒ καὶ τῷ πρὸς αὐτῇ σημείῳ τῷ Β δύο εὐθεῖαι αἱ ΒΓ, ΒΔ μὴ ἐπὶ τὰ αὐτὰ μέρη κείμεναι τὰς ἐφεξῆς γωνίας τὰς ὑπὸ ΑΒΓ, ΑΒΔ δύο ὀρθαῖς ἴσας ποιείτωσαν:
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eng
For with any straight line AB, and at the point B on it, let the two straight lines BC, BD not lying on the same side make the adjacent angles ABC, ABD equal to two right angles;
lat Sic
Ad rectam enim AB et ad in ipsa punctum B due recte BG et BD non in easdem partes iacentes eos qui deinceps angulos ABG et ABD duobus rectis equales faciant.
lat Gerard
Exempli causa: Puncto B quod est in linea recta AB due recte linee BG; BD adiungantur, que in parte una non sint posite, et fiant duo anguli GBA; ABD, qui sunt in duabus partibus, duobus rectis equales.
lat Adelard
Exempli gratia: Sit linea AB exeantque de puncto B due linee, scilicet, BG et BD in duas partes diversas. Duoque anguli GBA et ABD duobus angulis rectis equales ponantur.
lat Hermann
Ut cum ab AB linee puncto B altera in D altera in G prodierint duosque circa se angulos rectis equales fecerint,
ara Uppsala 7r17-19
فليضف خطا (ج ب) (ب د) اللذان ليسا بموضوعين في جهة واحدة إلى خط (ا ب) وليصيرا زاويتي (ج ب ا) (ا ب د) اللتين عن الجنبتين مساويتين لقائمتين
ara Tuṣi p. 10
فليتصل بـ(ا ب) على نقطة (ب) خطا (ج ب) (د ب) وليكن زاويتا (ج ب ا) (د ب ا) معادلتين لقائمتين
ara Nairizi p. 78
مثاله انه قد خرج من نقطة (ب) من خط (ا ب) خطا (ب ج) (ب د) فى جهتين مختلفتين وصارت زاويتا (ج ب ا) (ا ب د) معادلتين لزاويتين قائمتين
san 21,1–3
atra upapattiḥ | (2) jababadarekhe abarekhāyāṃ bacihne milite jāte | jabaakoṇaḥ (3) dabaakoṇaḥ etau samakoṇadvayasmānau jātau |
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lat Clavius
Ad punctum C, lineæ rectæ A B, in diuersas partes eductæ sint duæ rectæ C D, C E, facientes cum A B, duos angulos A C D, A C E, vel rectos, vel duobus rectis æquales.
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