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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,14
Ἐὰν πρός τινι εὐθείᾳ καὶ τῷ πρὸς αὐτῇ σημείῳ δύο εὐθεῖαι μὴ ἐπὶ τὰ αὐτὰ μέρη κείμεναι τὰς ἐφεξῆς γωνίας δυσὶν ὀρθαῖς ἴσας ποιῶσιν, ἐπ᾽ εὐθείας ἔσονται ἀλλήλαις αἱ εὐθεῖαι.
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eng
If with any straight line, and at a point on it, two straight lines not lying on the same side make the adjacent angles equal to two right angles, the two straight lines will be in a straight line with one another.
lat Sic
Si ad aliquam rectam atque ad punctum in ipsa datum due recte non in easdem partes iacentes eos qui deinceps angulos duobus rectis equales fecerint, in directo erunt alternis ille recte.
lat Gerard
Si ad punctum super rectam stans lineam due recte linee non ab una parte copulentur et fiant duo anguli ab utraque parte duobus rectis equales, queque duarum rectarum linearum in rectitudine alterius existit et fit ex eis linea una.
lat Adelard
Si due linee de puncto unius linee in diversas partes exierint, duoque anguli ex duabus partibus linee existentes duobus rectis equales fuerint, linee ille due sibi invicem recto modo iuncte una fient linea.
lat Hermann
Si due linee a puncto unius linee in diversas exierint partes que duos circa se angulos duobus rectis equales faciunt, ille due linee directe continuate fiunt una linea.
ara Uppsala 7r15-17
إذا أضيف خطان مستقيمان ليسا في جهة واحدة إلى نقطة على خط ما مستقيم فصير الزاويتين اللتين عن الجنبتين مساويتين لقائمتين فإن كل واحد من الخطين المستقيمين على استقامة الآخر
ara Tuṣi p. 10
اذا اتصل خطان على نقطة بخط عن جنبتيه واحدثا معه قائمتين او مساويتين لهما كان الخطان معا على الاستقامة خطا واحدا
ara Nairizi p. 78
اذا خرج من نقطة فى خط خطان (ع) فى جهتين مختلفتين فكانت الزاويتان اللتان عن جنبتى الخط المخرج منه معادلتين لزاويتين قائمتين فان الخطين المخرجين قد (ط) اتصلا على استقامة وصارا خطا واحدا
san 20,16-19
tatra rekhādvayaṃ digdvayataḥ samāgataṃ tadanyarekhācihne yadi (17) yogaṃ karoti tatra tadrekhādvayayogāt samakoṇadvayaṃ bhavati vā (18) koṇadvayayogaḥ samakoṇadvayatulyo bhavati tadā niṣkāsitare(19)khādvayayogāt saralaikarekhā bhavati |
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lat Clavius
SI ad aliquam rectam lineam, atque ad eius punctum, duæ rectæ lineæ non ad easdem partes ductæ eos, qui sunt deinceps, angulos duobus rectis æquales fecerint; in directum erunt inter se ipsæ rectæ lineæ.
kin 幾何原本 p. 39
一直線。於線上一點。出不同方兩直線。偕元線、每旁作兩角。若每旁兩角、與兩直角等卽後出兩線、為一直線。
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