What is geometry?
Very often, without knowing it, we are dealing with geometry. We are involved in geometry when we work with shape and size, objects, their placement in space. What is geometry? The science of the shapes and sizes of objects, as well as the mutual placement of figures is called geometry. The application of this science in life is very common: construction, landscape design, architecture and interior. And this is not a complete list of industries where the principles of geometry are applied.
How it all began
Since ancient times, people worked on the land. But in order to measure their sections, they needed to carry out mathematical solutions; these were the first geometric calculations. When building the Egyptian pyramids, various calculations were also carried out, which over time became the basis of geometry. In Egypt, in the city of Alexandria, in 280 BC, lived the scientist Euclid, he wrote a book on geometry. Everyone who had the desire to study geometry, more than two thousand years used this textbook. To date, Euclidean geometry is recognized as non-modern and many of its theses have been folded by scientists.
Time passed, and scientists began to deduce geometric formulas, theorems, axioms, the concept that geometry is studied has been formed. Today we can say with a statement that this is the science of space and relationships that arise in it. All geometry is divided into several types. As an example - classical geometry. She "deals" with points, planes. It includes sections of planimetry, stereometry, and others. Knowledge in the coordinate system gives us analytical geometry. Differential equations are the theory and practice of differential geometry. And the topology studying continuity summarizes all sections.
Why do we need you, geometry
The development of civilization led to the development of science. Many scientists were engaged in geometry, and as a result of their scientific work, geometry has found a place for itself in practice. You can tell a lot about why geometry is needed. First of all, it is connected with such sciences as engineering, physics, astronomy, which makes it possible to conduct new discoveries and develop promising projects. All engineering calculations are connected with geometry, even seemingly such petty ones as, for example, the installation of street lamps.After all, for this you need to accurately calculate the angle of incidence of a ray of light on the ground so that it can illuminate the territory as much as possible. Also, the geometry is needed when calculating before construction. Architects must accurately calculate all moments of construction. Geometry laws obey the trajectory and dimensions of transport, so drivers must take this into account for safe driving. You can cite many more examples from life, where geometry plays a significant role.
Often we hear about another kind of geometry - descriptive. And what is descriptive geometry? This is one of its many sections that studies shapes that are projected onto a plane. What are the challenges facing descriptive geometry? First of all, it is the image of figures on the plane and at the same time the solution of metric problems.
As you know, engineering creativity requires the development of spatial imagination. Descriptive geometry, like science, helps a person to develop this spatial imagination. To solve problems of descriptive geometry, first of all, we need a drawing, onto which figures are projected, all points are designated.Construction, architecture, art - these are the areas of human activity where they use descriptive geometry. And thanks to this science, today it is possible to show on the plane the relief of the earth, to design roads, tunnels and canals. Other branches of mathematics are also closely related to descriptive geometry.