# APPLICATION OF GEOMETRY IN REAL LIFE

Applications of Geometry in Daily Life

### Geometry is an ancient science and an important branch of mathematics. The ancient mathematician Euclid is credited as the Father of Geometry; who used the word formally in his book “Elements”. It is derived from the ancient Greek word Geometron meaning to measure the earth (geo: earth and metron: measurement). For an elementary or middle school student, it is all about different basic shapes including their naming, properties, and formulas related to their areas and volumes. But the modern geometry has diverged much more from these basic concepts. But none of these has changed their existence and applications in daily life and it still reflects in our everyday experience.

Geometry is the most influential branch of mathematics. A keen observation will give you many examples. It was molded up in the ancient era hence its impact on life is also wide.  It’s a potential problem solver, especially in practical life. Its application began long back during Egyptian civilization. They used geometry in different fields such as art, measurement, and architecture. Glorious temples, palaces, dams, and bridges are the result of these. In addition to construction and measurements, it has influenced many more fields of engineering, biochemical modeling, designing, computer graphics, and typography.

Geometry briefly is used in various daily life applications such as surveying, astronomy, navigation and building, and much more. Some of such applications of Geometry in daily life in different fields are described below-

• Art

Mathematics and art are related in a variety of ways. For instance, the theory of perspective (a graphical representation of on a flat surface of an image as seen by eyes) showed that there is more to geometry than just the metric properties of figures: and this perspective is the basis of the origin of projective geometry.

• Technicals

The concept of geometry is also applied in the fields of robotics, computer, and video games. The geometry provides handy concepts both for computer and video game programmers. The way & the design of the characters that move through their virtual worlds requires geometric computations to create paths around the obstacles concentrating around the virtual world. Video game engines typically put to use raycasting, which is a technique that simulates a 3-D world using a 2-D map. Using this form of geometry helps speed up processing because calculations are only done for the vertical lines on the screen.

• Architecture

Just like other forms of arts, architects use mathematics for several reasons. Apart from the mathematics needed when engineering buildings, architects use geometry: to define the spatial form of a building i.e. to create the design of the building its shape, height, structure basically the construction blueprint. Apart from this the Pythagoreans of the sixth century BC onwards used geometry to create forms considered harmonious, and thus to lay outbuildings and their surroundings according to mathematical, aesthetic, and sometimes religious principles and also to decorate buildings with mathematical objects such as tessellations, and even mitigate the hazard arising from wind speeds around the bases of tall buildings.

Also, one of the best examples of the application of geometry in daily life will be the stairs which are built-in homes in consideration to angles of geometry constructed at 90 degrees.

Geometry concepts are also applied in CAD (Computer-Aided Design) where it helps the software to render visual images on the screen.

• Astronomy & Physics

Here, geometry is used in the field of astronomy, helping to map the positions of stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies.

In the field of Physics, there is a deep link between pseudo-Riemannian geometry and general relativity

• Geographic Information Systems

Geometry concepts are used in satellites in GPS systems, it calculates the position of the satellite and location of GPS gauged by the latitudes and longitudes.

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