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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
Click to Expand/Collapse OptionBook V
Click to Expand/Collapse OptionBook VI
Click to Expand/Collapse OptionBook VII
Click to Expand/Collapse OptionBook VIII
Click to Expand/Collapse OptionBook ΙΧ
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Click to Expand/Collapse OptionBook ΧI
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gre I,22
πάλιν κέντρῳ μὲν τῷ Η, διαστήματι δὲ τῷ ΗΘ κύκλος γεγράφθω ὁ ΚΛΘ, καὶ ἐπεζεύχθωσαν αἱ ΚΖ, ΚΗ:
Pic351
Pic641
eng
again, with centre G and distance GH let the circle KLH be described; and let KF, KG be joined;
lat Sic
Rursus centro quidem T, spatio vero IT circulus scribatur KLT. Et copulentur recte KZ, KI.
lat Gerard
Super centrum etiam H secundum quantitatem longitudinis HT describam circulum TKL. Post hec a puncto K, ubi unus duorum circulorum alium secat, producam duas rectas lineas KZ; KH usque ad duo puncta ZH.
lat Adelard
Itemque supra centrum H longitudo HT circulo TKL claudatur, protrahanturque de puncto K, super quem duorum circulorum extat incisio, due linee ad Z et ad H, sintque KZ et KH.
lat Hermann
quem ad mensuram BG centrum B ambiens alter ad punctum H intersecet. Demum igitur ab H sectionis circulorum puncto descendant recte linee ad utrumque centrum terminosque AB
ara Uppsala
No Arabic
ara Tuṣi p. 13
وعلى (ح) ببعد (ح ط) دائرة (ط ك ل) فتقاطعان على (ك) ونصل (ح ك) (ز ك)
ara Nairizi p. 98
ونجعل نقطة (ح) مركزا ونخط ببعد (ح ط) دائرة (ط ك ل) ونخرج من نقطة (ك) خطى (ك ز) (ك ح)
san 29,19-21
vakendraṃ kṛtvā vatavyāsārddhena takalavṛttaṃ kāryam | tadā vṛttadvayasaṃpātaḥ kacihne bhavati | punaḥ kajha kavarekhā ca kāryā |
Pic715
lat Clavius
Item centro G, interuallo autem G H, alius circulus describatur HIK, qui necessario priorem secabit in punctis I, & K, (cum enim duæ F D, G H, maiores ponantur recta F G; Si ex F E, sumatur recta F L, æqualis ipsi F D: & ex G D, recta G M, æqualis ipsi G H, cadet punctum M, inter L, & D. Si namque M, caderet in L, punctum, essent G L, F L, hoc est, G H, & F D, æquales rectæ F G: Si vero M, caderet inter G, & L, essent eædem duæ F L, G M, hoc est, D F, G H, minores recta F G, quorum utrumque est contra hypothesin. Id quod ex appositis figuris apparet) ex quorum quolibet, nimirum ex K, ducantur ad puncta, F, G, rectæ K F, K G,
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