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几何原本_(古希腊)欧几里得著;张卜天译(公设 Postulates) 第(1/1)页

1.从任一点到任一点可作一条直线

Todrawastraightlinefromanypointtoanypoint.

2.一条有限直线可沿直线继续延长

Toproduceafinitestraightlinecontinuouslyinastraightline.

3.以任一点为心和任意距离可以作圆

Todescribeacirclewithanycentreanddistance.

4.所有直角都彼此相等

Thatallrightanglesareequaltooneanother.

5.一直线与两条直线相交,若在同侧的两内角之和小于两直角,则这两条直线无定限延长后在该侧相交

That, ifastraightlinefallingontwostraightlinesmaketheinterioranglesonthesamesidelessthantworightangles, thetwostraightlines, ifproducedindefinitely, meetonthatsideonwhicharetheangleslessthanthetworightangles.


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