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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
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gre I,17
ὁμοίως δὴ δείξομεν, ὅτι καὶ αἱ ὑπὸ ΒΑΓ, ΑΓΒ δύο ὀρθῶν ἐλάσσονές εἰσι καὶ ἔτι αἱ ὑπὸ ΓΑΒ, ΑΒΓ.
Pic346
Pic639
eng
Similarly we can prove that the angles BAC, ACB are also less than two right angles, and so are the angles CAB, ABC as well.
lat Sic
Similiter ergo demonstrabimus quoniam anguli BAG et AGB duobus rectis minores sunt et adhuc GBA et BAG.
lat Gerard
Eodem quoque modo scitur quod duo anguli qui sunt ex AGB et GBA duobus rectis angulis minores existunt, et quod illi qui comprehenduntur a GBA et BAG duobus rectis minores inveniuntur.
Et hoc est ut linea AB protrahatur usque ad punctum E et deinde ostendatur, sicut ostensum est superius.
lat Adelard
Sic igitur cognosces quoniam duo anguli AGB et GBA duobus rectis minores. Anguli etiam GBA et BAG duobus rectis minores.
lat Hermann
Eadem igitur est et tercii racio, ut et hic cum quolibet alio duobus rectis minores existant.
ara Uppsala
No Arabic
ara Tuṣi p. 11
وهكذا فى البواقى
ara Nairizi p. 84
وبمثل هذا البرهان والاستشهاد يتبين ان مجوع زاويتى (ب ا ج) (ا ج ب) اصغر من مجموع قائمتين واما ان مجموع زاويتى (ا ب ج) (ب ا ج) اصغر من مجموع زاويتين قائمتين
فانا نخرج خط (ا ب) الى علامة (ه) ونبين كما بينا قبل
san 23,18
evam anyakoṇeṣv api jñeyam |
Pic705
lat Clavius
Eadem ratione erunt anguli C B A, & C A B, minores duobus rectis. Item duo B A C, & B C A.
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