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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
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gre I,0
ζ' Καὶ τὰ ἐφαρμόζοντα ἐπ᾽ ἄλληλα ἴσα ἀλλήλοις ἐστίν.
Pic631
eng
4. [7] Things which coincide with one another are equal to one another.
lat Sic
Et super se invicem coaptata sibi invicem equalia sunt.
lat Gerard
[ 8.] Et ea quorum unum aliud non superat cum unum alii superponitur equalia sunt.
lat Adelard
Si aliqua res alii superponatur appliceturque ei, nec excedat altera alteram, erunt ille sibi invicem equales.
lat Hermann
Si aliqua res alii superponatur appliceturque ei nec excedat altera alteram: ille sibi invicem erunt equales.
ara Uppsala 3r2
[٨] والتي لا يفضل أحدها على الآخر إذا انطبق بعضها على بعض فهي متساوية
ara Tuṣi
والأشياء المتطابقة من غير تفاضل متساوية
ara Nairizi p. 28
والتى يطابق بعضها بعضا فبعضها مساو لبعض
Pic828
per Shirazi p. 18,13-14
و جیزهایی کی بر یکدیکر منطبق شوند بی تفاضلي متساوی باشند
san 7,17
(17) ye rāśyaḥ ekādiguṇitānyarāśisamānā bhavanti te ’pi sarve samānā eva |
lat Clavius p. 27
VIII. ET quæ sibi mutuo congruunt, ea inter se sunt æqualia.
HOC est, duæ quantitates, quarum vna superposita alteri, neutra alteram excedit, sed ambæ inter se congruunt, æquales erunt. Vt duæ lineæ rectæ dicentur esse æquales, quando vna alteri superposita, eaquæ superponitur, alteri tota congruit, ita vt eam nec excedat, nec ab ea excedatur. Sic etiam duo anguli rectilinei æquales erunt, quãdo vno alteri superposito, is qui superponitur, alterum nec excedit, nec ab eo exceditur, sed lineæ illius cum lineis huius prorsus coincidunt: Ita enim erunt inclinationes linearum æquales, quamuis lineæ interdum inter se inæquales existant.
E CONTRARIO, Quæ inter se sunt æqualia, sibi mutuo congruent, si alterum alteri superponatur. Intelligendum est autem, quantitates sibi mutuo congruentes, esse æquales, secundum id duntaxat, in quo sibi congruunt. Congruit autem longitudo longitudini tantum, superficies superficiei, solidum solido, linearum inclinatio inclinationi linearum, &c.
kin 幾何原本 p.16
第八論
有二度自相合。則二度必等。以一度加一度之上。
Pic426
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