几何原本
[古希腊] 欧几里得
第一卷
定义 Definitions
01 /点是没有部分的东西。
Apointis that which has no part.
02 /线是没有宽的长。
Alineis breadthless length.
03 / 线之端是点。
The extremities of a line are points.
04 /直线是其上均匀放置着点的线。
Astraightline is a line which lies evenly with the points on itself.
05 /面是只有长和宽的东西。
Asurfaceis that which has length and breadth only.
06 / 面之端是线。
The extremities of a surface are lines.
07 /平面是其上均匀放置着直线的面。
Aplane surfaceis a surface which lies evenly with the straight lines on itself.
08 /平面角是一个平面上两条线之间的倾斜,它们相交且不在一条直线上。
Aplane angleis the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line.
09 / 且当夹这个角的线是直线时,这个角叫作直线角。
And when the lines containing the angle are straight, the angle is calledrectilineal.
10 / 当一条直线与另一条直线交成的邻角彼此相等时,这些等角中的每一个都是直角,且称这条直线垂直于另一条直线。…