Archimedes first put forward the lever principle in the book On the Balance of Plane Figures. Archimedes once said, "Give me a foothold and a lever long enough, and I can move the earth". He first regarded some empirical knowledge in the practical application of leverage as "self-evident axioms", and then proceeded from these axioms, applied geometry, and obtained the principle of leverage through strict logical argumentation. These axioms are: (1) If equal weights are hung at both ends of a weightless bar at the same distance from the fulcrum, they will be balanced; (2) Hang unequal weights at the same distance from the fulcrum at both ends of the weightless bar, and the heavy end will fall; (3) Hang an equal weight at both ends of the weightless bar with different distances from the fulcrum, and the far end will incline downward; (4) The function of one weight can be replaced by the function of several evenly distributed weights, as long as the position of the center of gravity remains unchanged. On the contrary, several evenly distributed weights can be replaced by weights hanging from their centers of gravity (5) The centers of gravity of similar patterns are distributed in a similar way. ...

It is from these axioms that Archimedes discovered the lever principle on the basis of the "center of gravity" theory, that is, "when two heavy objects are in equilibrium, their distance from the fulcrum is inversely proportional to their weight. Archimedes' research on lever not only stays in theory, but also makes a series of inventions according to this principle. It is said that he once made a mast landing on the beach with the help of lever and pulley block. In the battle to defend Syracuse from the Roman navy, Archimedes used the lever principle to make a catapult at a distance and a distance, and used it to launch various missiles and boulders to attack the enemy, which once prevented the Romans from entering Syracuse for three years.

Lever principle is widely used in many fields. Archimedes once said, "Give me a foothold and a lever long enough, and I can move the earth". In daily management activities, the lever principle that can be displayed and brought into play is condensed and summarized into various manifestations of the relationship between responsibility and rights in a balanced and unbalanced state.

(Excerpted from Baidu)