(1) makes a line segment equal to a known line segment;

(2) Make an angle equal to the known angle;

(3) bisecting the known angle (i.e. the bisector of the known angle);

(4) perpendicular bisector is a line segment;

(5) The point is perpendicular to the known straight line.

Extended data:

Ancient China

"Gauge" is a compass and a tool for drawing circles. The word "gauge" was found in ancient Oracle Bone Inscriptions. Moment is like a square used by carpenters. It is formed by the intersection of long and short feet at right angles, and the two are connected by wooden poles to make them firm. A short ruler is called a hook, and a long ruler is called a stock.

The use of torque is an ancient invention of China. In the stone statue of Wuliang Temple in Licheng, Shandong Province, there is a picture of "holding the moment, Nu Wa holding the rules". Torque can not only draw straight lines and right angles, but also be measured with a scale, and can also replace compasses. There are moments in Oracle Bone Inscriptions, which can be traced back to before Dayu's flood control (2000 BC).

The second volume of Historical Records records that Dayu was a "right hand man" when he was in charge of water conservancy. In Zhao Shuang's Notes on Weeks and Counting, it is said that "it is the source of Pythagoras to control floods, observe the shape of mountains and rivers, and compete with each other." This means that if Yu wants to measure the terrain first, he must use Pythagoras. This also shows that the moment originated in Pythagoras.

In the Spring and Autumn Period, there were also many works about rules. Volume 7 of Mozi says, "Wheelwrights (craftsmen who make cars) abide by their rules and make Fiona Fang the best in the world." In the fourth volume of Mencius, it is said that "Li Lou (the legendary man with very strong eyesight) is smart, and the loser (the legendary carpenter's ancestor Lu Ban) is smart. Without rules, Fiona Fang cannot be achieved."

It can be seen that in the Spring and Autumn Period and the Warring States Period, rules have been widely used to draw and make documents. Because China had the scale of moment in ancient times, it was widely used and practical.

Baidu Encyclopedia-Ruler Drawing