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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
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Click to Expand/Collapse OptionBook VII
Click to Expand/Collapse OptionBook VIII
Click to Expand/Collapse OptionBook ΙΧ
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gre IΙ,4
τὰ ἄρα τέσσαρα τὰ ΘΖ, ΓΚ, ΑΗ, ΗΕ ἴσα ἐστὶ τοῖς τε ἀπὸ τῶν ΑΓ, ΓΒ τετραγώνοις καὶ τῷ δὶς ὑπὸ τῶν ΑΓ, ΓΒ περιεχομένῳ ὀρθογωνίῳ.
Pic618
Pic658
eng
therefore the four areas HF, CK, AG, GE are equal to the squares on AC, CB and twice the rectangle contained by AC, CB.
lat Sic
Quattuor ergo que sunt TZ, GK, AI, IE equalia sunt et eis que a rectis AG, GB tetragonis et bis sub rectis AG, GB contento orthogonio.
lat Gerard
Superficies ergo TZ; GK; AH; HE duobus quadratis ex duabus lineis GA; GB factis et duplo superficiei rectorum angulorum, que ab his continetur lineis AG; GB, equari inveniuntur.
lat Adelard
Manifestum igitur est quia superficies DZ et superficies ZB et due superficies AZ et ZH ex ductu AG et GB in seipsas et AG in GB bis nate sunt.
lat Hermann
Omnium itaque quattuor superficierum eius, que est DH, origo est AG ex se ipsa, HB vero GB ex se ipsa, terminalium autem AG in GB bis ducta, que omnes sunt is tetragonus, qui ABDE conscribitur, ex ductu tocius AB in se ipsam.
ara Uppsala
No Arabic
ara Tuṣi
[...]
ara Nairizi p. 18
فمربع (ا ه) باسره مساو لمربعى قسمى (ا ج) (ج ب) ولضعف السطح الذى يحيط به قسما (ا ج) (ج ب)
san 81,23-24
ajajabaghātasamaṃ avakṣetraṃ ajajabaghātasamaṃ vahakṣetraṃ caiteṣāṃ caturṇāṃ yogatulyam asti |
lat Clavius
No Latin
kin 幾何原本
No Chinese
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