Archimedes made the most outstanding achievements in mechanics.
1. Archimedes systematically studied the center of gravity of an object and the principle of lever on the basis of summing up the experience of the Egyptians in lifting heavy objects with levers, put forward a method for accurately determining the center of gravity of an object, and pointed out that if an object is supported in the center, it can maintain balance. At the same time, in the process of studying machinery, he discovered and systematically proved Archimedes principle (that is, lever law), which laid the foundation of statics. In addition, Archimedes used this principle to design and manufacture many machines.
He discovered the law of buoyancy in the process of studying floating bodies, which is also known as Archimedes principle.
Geometry:
Archimedes' mathematical achievement lies in that he not only inherited and carried forward the scientific method of studying abstract mathematics in ancient Greece, but also linked the research of mathematics with practical application. Archimedes
1, Archimedes' calculation method for determining the area of parabola bow, helix and circle, and the surface area and volume of complex geometric bodies such as ellipsoid and paraboloid. In the process of deriving these formulas, he created the "exhaustive method", which is similar to the method of approaching the limit step by step in modern calculus.
He is the first person to study pi scientifically. He proposed to calculate pi by increasing the number of sides and gradually approaching the areas of inscribed polygons and circumscribed polygons. He found that the range of pi is: 223/7 1.