Ruler is a tool for drawing lines, including straight lines, curves and broken lines. If you use a complex ruler, you can also use a complex combination square ruler. Then, Polat solved the problem of cubic product. The most primitive ruler of human beings draws a simple line segment, which can be extended indefinitely if it is extended again and again. Therefore, using a very short ruler repeatedly can draw infinitely long straight lines and broken lines, parallel lines, vertical lines (auxiliary compasses) and so on.

Compasses are tools for drawing circles. The original compasses were simply tied together with two sticks, and the angles were rigidly fixed. They are not as flexible and delicate as modern compasses. There are many rusty compasses in ancient math problems, which is actually another way of saying that natural compasses are used.

The strictest ruler drawing method is to draw with a simple ruler and a simple compass. Moreover, it should be computable, and Hippocrates' achievements should still be cited, because there is a certain quantitative relationship between points, lines and polygons. However, if drawing is purely calculation, we can use the knowledge of analytic geometry to locate the fixed point (similar to the quantitative relationship I tried to determine the length of the extension line before), which is not a strict ruler drawing method. After calculation, points, lines and surfaces should be drawn according to geometric principles and inferences, which is a strict ruler drawing method.