First, the definition?
Geometry is the study of spatial structure and properties. It is one of the most basic research contents in mathematics, which has the same important position as analysis and algebra, and has a very close relationship.
Second, the origin of geometry
Geometry originated from ancient Egypt and ancient Greece, and it is the product of human observation and cognition of the surrounding environment. The ancient Egyptians used the knowledge of geometry when they built the pyramids, and the ancient Greek philosopher Euclid was the founder of geometry. In his book Geometry, he systematically expounded the basic principles and theorems of geometry.
Third, the research content of geometry
The research content of geometry includes the properties and transformations of geometric objects such as points, lines, surfaces and bodies, as well as their relationships and applications. Points are the most basic objects in geometry, lines are composed of countless points, faces are composed of countless lines, and bodies are composed of countless faces.
Geometricians have discovered many interesting properties and laws by studying these objects, such as Pythagorean Theorem and similar triangles Theorem.
Application field of geometry
1, house design and interior layout
Geometric knowledge can be used to design the floor plan of buildings, plan the layout of rooms and the placement of furniture, so as to ensure the rational use of space and meet the needs of ergonomics and aesthetics.
2. Geographic navigation and maps
Geometric knowledge plays an important role in geographic navigation and map making. For example, the scale and direction indication on the map need accurate measurement and angle calculation.
3, construction and engineering survey
In the field of architecture and engineering, geometric knowledge is used to measure and locate, including measuring the area, angle, distance and height of the plot, so as to ensure the accuracy and stability of architecture and engineering.
4, drawings and manufacturing
Geometric knowledge has applications in drawing, machining and manufacturing. For example, drawing geometric figures and calculating geometric transformations are all necessary skills.
5. Art and design
Geometric knowledge plays an important role in art and design. From painting and sculpture to architecture and handicraft design, we need to understand and use geometry, proportion and symmetry.