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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
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Click to Expand/Collapse OptionBook ΙΧ
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gre I,5
Ἐπεὶ οὖν ἴση ἐστὶν ἡ μὲν ΑΖ τῇ ΑΗ ἡ δὲ ΑΒ τῇ ΑΓ, δύο δὴ αἱ ΖΑ, ΑΓ δυσὶ ταῖς ΗΑ, ΑΒ ἴσαι εἰσὶν ἑκατέρα ἑκατέρᾳ·
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eng
Then, since AF is equal to AG and AB to AC, the two sides FA, AC are equal to the two sides GA, AB, respectively;
lat Sic
Quoniam ergo equalis est recta quidem AZ reete AI, recta vero AB recte AG, duo que sunt ZA et AG duobus que sunt IA et AB equalia sum, utrumque utrique,
lat Gerard
Probatio: Et quia linea ZA linee AH est equalis, et linea GA linee AB equatur, erunt due linee BA; AH duabus lineis GA; AZ equales, unaqueque videlicet illarum sue relative.
lat Adelard
erit AZ linee AH equalis. Sed AB equalis AG. Sicque linee ZA et AG sicut linee HA et AB unaqueque se respicienti
Pic978
lat Hermann
Dictum est autem AZ equalem esse AH et AB ei que est AG, sunt ergo latera AZ et AG lateribus AH et AB opposita oppositis equalia.
ara Uppsala 4r,21-23
فلأن خط (ز ا) مساو لخط ' (ا ح) وخط (ج ا) لخط (ا ب) يكون كلا خطي (ز ا) (ا ج) مساويين لكلا خطي (ح ا) (ا ب) كل ' واحد لنظيره
ara Tuṣi p. 6
ففى مثلثى (ا ج ز) (ا ب ح) ضلعا (ج ا) (ا ز) وزاوية (ا) مساوية لضلعى (ب ا) (ا ح)
ara Nairizi p. 56
فلان خط (ا ز) مثل خط (ا ح) وخط (ا ب) مثل خط (ا ج) فضلع (ا ز) (ا ج) من مثلث (ا ج ز) مساويان لضلعى (ا ح) (ا ب) من مثلث (ا ب ح) كل ضلع مساو لنظير
per Shirazi p. 23,16-18
بس بسبب انک (ج ا) (ا ز) و زاویه (ا) مساوی (ب ا) (ا ج) است *ع
san 12,2-4
(2) ajajhatribhuje abavatribhuje jaabhujaḥ ajhabhujaḥ (3) akoṇaś ca baabhujena avabhujena akoṇena krameṇa (4) samānāḥ |
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lat Clavius
Quia ergo duo latera A B, A F, trianguli A B F, æqualia sunt duobus lateribus A C, A D, trianguli A C D, utrumque utrique, nempe A B, ipsi A C, ex hypothesi, & A F, ipsi A D, ex constructione; angulusque A, contentus lateribus A B, A F, æqualis est angulo A, contento lateribus A C, A D,
kin 幾何原本 p. 4a
論曰。試如甲戊線稍長。卽從甲戊截取一分。與甲丁等。為甲己。本篇三 次自丙至丁乙至己。各作直線。第一求卽甲己乙、甲丁丙、兩三角形必等。
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