The significance of ruler drawing for mathematical research lies in constructing as accurate a sketch as possible under limited conditions.
The meaning of compass ruler: Compass is a tool for drawing circles or strings in mathematics and drawing, and is often used for drawing with a ruler.
Ruler and moment were invented by China. They were two tools used by the ancients to measure and draw circles and squares. "Gauge" is a compass that draws a circle; Moment is a rectangular ruler with scales on it. That's what the ancients meant when they said, "If you don't obey the rules, you can't be Fiona Fang".
Structure of compasses
A compass consists of a pen tip, a rotating shaft, compass legs, a ruler, a hinge, a pen body, a pen tip, a compass tip and small ears, wherein the lower end of the pen tip is inserted into the upper end of the pen body, and the lower end of the pen body is in threaded connection with the upper end of the pen tip; the flush end of the small ear is welded in the middle of the outer side of the compass leg, and the lower end of the compass leg is clamped at the upper end of the compass tip.
In the era when there was no computer, the result of ruler drawing was the most accurate and the cost was very low (in theory, ruler drawing can be done with a pen and a rope, and maybe a thumbtack).
For example, if you want to draw a standard equilateral triangle, a ruler is the fastest and most accurate method without a computer.
Ruler drawing influence:
If the drawing tools are not restricted, the three major problems of geometry can be easily solved. Many mathematical achievements in history are by-products of solving three major problems, especially the study of conic curves and the discovery of a number of famous curves. Not only that, the three major problems are also related to the branches of modern algebra such as equation theory and group theory.