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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 ΙΙI,8
Εἰλήφθω γὰρ τὸ κέντρον τοῦ ΑΒΓ κύκλου καὶ ἔστω τὸ Μ: καὶ ἐπεζεύχθωσαν αἱ ΜΕ, ΜΖ, ΜΓ, ΜΚ, ΜΛ, ΜΘ.
Pic2520
eng
For let the centre of the circle ABC be taken [III. 1], and let it be M; let ME, MF, MC, MK, ML, MH be joined.
lat Sic
Sumatur enim centrum ABG circuli sitque M. Et copulentur recte ME, MZ, MG, MK, ML, MT.
lat Gerard
Probatio huius: Quia ponam punctum M circuli centrum et protraham a puncto M lineas ad puncta E et Z et A et T et L et K. Sintque linee ME et MZ et MA et MT et ML et MH, due ergo linee ME et MG coniuncte longius sunt linea GE.
lat Adelard
Rationis causa: Centrum enim circuli M a quo ad puncta H et Z et A et T et L et K linee MH et MZ et MA et MT et ML et MK extracte. Atqui due linee MH et MG coniuncte linea GH longiores.
lat Hermann 20r
Earum autem que extra sunt quoniam non ita sentiunt demonstrationem, ab eodem centro alias educemus que illas que circumferentiam primum attingunt ad puncta T et L et K et N excipiant.
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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