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Euclid: Elementa

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Euclid: Elementa
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gre IV,5
Τετμήσθωσαν αἱ ΑΒ, ΑΓ εὐθεῖαι δίχα κατὰ τὰ Δ, Ε σημεῖα,
Pic2557
Pic2558
eng
Let the straight lines AB, AC be bisected at the points D, E [I. 10],
lat Sic
Secentur recte AB, AG in duo equa secundum puncta D, E
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
Diuidanturduo latera AB, AC, (quae in triangulo rectangulo, vel obtusangulo sumenda sunt facilitatis gratia, circa rectum, vel obtusum angulum, quamvis hoc non sit omnino necessarium, sed duo quaeuis latera bifariam possint secari) bifariam in D, et E, punctis, ex quibus educantur DF, EF, perpendiculares ad dicta latera, coeuntes in F, (Quod enim coeaht, patet. Nam si ducta esset recta DE, fierent anguli FDE, FED, duobus rectis minores.) eritque F, vel intra triangulum, vel in latere BC, vel extra triangulum.
kin 幾何原本
先平分兩邊。若形是直角、鈍角。則分直角鈍角、之兩旁邊。於丁於戊。次於丁、戊、上各作垂線。為己丁、己戊。而相遇於己。若自丁至戊、作直線。卽己丁戊角形之己丁戊、己戊丁、兩角。小於兩直角。故丁己、戊己、兩線必相遇。其己點或在形內。或在形外。
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