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公设 Postulates
书名：几何原本作者：（古希腊）欧几里得著；张卜天译本章字数： 571 更新时间： 2024-01-03 10:49:49

1.从任一点到任一点可作一条直线

To draw a straight line from any point to any point.

2.一条有限直线可沿直线继续延长

To produce a finite straight line continuously in a straight line.

3.以任一点为心和任意距离可以作圆

To describe a circle with any centre and distance.

4.所有直角都彼此相等

That all right angles are equal to one another.

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, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.