Geometry has a long history and rich contents. It is closely related to algebra, analysis and number theory. Geometric thought is the most important thought in mathematics. The temporary development of each branch of mathematics tends to geometry, that is, to explore various mathematical theories with geometric viewpoints and thinking methods. Common theorems are Pythagorean Theorem, euler theorem Theorem and Stewart Theorem.
The earliest geometry belongs to plane geometry. Plane geometry is to study the geometric structure and measurement properties (area, length, angle) of straight lines and quadratic curves (that is, conic curves, that is, ellipses, hyperbolas and parabolas) on the plane. Plane geometry adopts axiomatic method, which is of great significance in the history of mathematical thought.
The content of plane geometry naturally transferred to solid geometry of three-dimensional space. In order to calculate the problem of volume and area, people have actually started to involve the original concept of calculus.
Extended data:
Famous sayings related to geometry:
(1) Don't enter if you don't know geometry. -Plato
(2) Geometry sometimes seems to be the main point before analysis, but in fact, geometry precedes analysis, just like a servant walking in front of his master to open the way for him. Sylvester
(3) Fractal geometry not only shows the beauty of mathematics, but also reveals the nature of the world and changes the way people know the mysteries of nature. It can be said that fractal geometry is a kind of geometry that truly describes nature, and the research on it has greatly expanded the cognitive field of human beings. Zhou Haizhong
(4) Descartes' analytic geometry has been extended to Newton's calculus and the singular mathematical methods of Lobachevsky, Riemann, Gauss and Selma Vesto. In fact, mathematics is not only an indispensable tool for all disciplines, but also can fly freely without considering the constraints of intuition. Nicholas Murray Butler
References:
Baidu encyclopedia-geometry