The **geometry** is complex and despite being part of mathematics at the same time it is much more than that. It refers to lines, points and segments, and has a great number of applications, from architecture, design and engineering, to mixing with the occult, where it can even be sacred.

For example, many of his ideas are applied today in the world of animation to know and distribute the space within a composition, which would refer to descriptive geometry.

Index

## What is geometry for?

Like many other sciences, geometry arose from the observation of the natural world. That’s exactly where its name comes from, measure the earth, the measure of the earth. The first thing that often comes to mind when thinking about geometry is the use of tools, such as the compass, the ruler, and the protractor.

Geometry as we mentioned is capable of measuring areas, lengths and volumes with the use of instruments and mathematics, it can define properties and shapes of a body. This is something that is often studied in school, but geometry has many applications.

## The main applications of geometry

There are many applications that this science can have in everyday life, since it is part of everything, so there is geometry in applied physics, ballistics or topography, but where it really stands out is in technical drawing, architecture and industrial design.

### Geometry and measurements

As for measurements, geometry makes it possible to measure physical bodies and the properties that dominate it with respect to the objects around it. Here also enters as we mentioned before, its application and relationship with industrial design.

### Geometry and education

Geometry is a very important part of education and it is difficult to separate it from mathematics despite being a science in itself, it is part of it. It is very important to teach children to know the shapes that surround and are part of their three-dimensional and tangible reality.

In the education of young adults it is also useful for visual understanding regarding the plastic arts, to develop communication and reasoning skills that will allow you to create complex forms of expression understanding the relationship between space and forms.

There are many artists who, using geometric shapes, have created incredible pieces of art, not only at the level of painting, but also architecture and sculpture. An example of this is the painter Fernando Botero and the application of circles in his creations.

### Geometry and its application in language

It is not an exaggeration to say that the concepts of geometry have also influenced the language, by communicating geometric concepts such as points, lines and angles daily, they are used to describe shapes or the location of an object and even when referring to ideas when we mention, for example, the point of view or expressions such as “seen from a certain angle …”

### Sacred geometry

Geometry within spirituality is thousands of years old, however with modern concepts of quantum physics it has been possible to know that there may be a connection between the quantum universe, molecules and geometry.

In the eastern traditions, geometry has been a way of reaching enlightenment or a way of expressing the most subtle concepts of spirituality and such is the case with mandalas. Intricate designs, frequently found in Buddhist temples that have become popular in the West over time. This geometry can transmit tranquility and has an effect on the cerebral cortex that can be therapeutic.

### Geometry today and its influence on the masses

Geometry is also widely used today for logo design, since the use of a certain object can convey a direct idea, a square can convey solidity and strength, a circle can represent a complete cycle among other things.

Advertising companies are responsible for transmitting messages through geometry and one of its applications is well documented in history regarding the use of the swastika by the Nazi party.

## Concepts and elements of geometry

Geometry is composed of several elements and concepts which are necessary to know to understand and handle it, when we talk about geometry it is essential to use terms such as lines, angles or points.

### Straight lines

The concept of a line is simple and is defined as a succession of points that go in the same direction.

### The plane

It is defined as an infinite space, formed by points and lines, in the plane we find all kinds of figures such as triangles and rhombuses. There are also the semi-planes that are formed when dividing a plane and this happens when one of its lines crosses it.

### Point

One of the elements in geometry with the greatest application since basically the point conforms all the shapes that we know, the lines, the lines, as well as all the figures that are in the plane.

Also in geometry the points define the lines and are fundamental to differentiate one line from another. Along with the point is the segment, which is a fundamental part of the concepts and elements of geometry. This is formed by marking two points on a line and marking two ends with them.

## History of geometry

This science is very ancient and its origins could be traced back to Babylon. Advances such as the number pi and the invention of the wheel gave rise to more in-depth studies of geometry. The Egyptians also made a very significant contribution to this science. From the beginning of humanity, geometry helped to form maps of both the earth and the stars, being applied to astronomy and cartography.

Many authors affirm that this branch of mathematics was developed out of necessity, just as with each of the sciences and this was man’s need to measure his lands and that in this way geometry arose.

## What is analytical geometry?

Authors define the study of certain lines by applying mathematics and algebra in a coordinate system such as analytical geometry. It was the well-known René Descartes and Pierre Fermat who began to apply these concepts and to whom their invention is attributed in the seventeenth century. Here you enter the well-known first and second degree polynomial equations and the popular Cartesian coordinate axis.

## What is plane geometry?

This branch of geometry is responsible for the study of plane figures, that is, figures that only have length and width. Within plane geometry we find concepts that are basic for the study of geometry such as the point and the line and where the famous Pythagorean theorem is also included.

## What is trigonometry?

Trigonometry is the study of triangles, that is, through this branch of mathematics linked to geometry, triangles are measured. There are many concepts and applications that influence even the study of the distance of distant celestial bodies and from which the Pythagorean theorem is derived.

## Other applications of geometry in science

Geometry is a science and a tool that has undoubtedly shaped society and without which many concepts could not be expressed, much technology would not have been able to develop and our understanding of the universe that surrounds us would be much more primitive.

## Relationship of geometry with astronomy

It is very interesting to recognize that geometric shapes are present in the universe. Planets and galaxies have shapes that can be defined based on geometry. Concepts as complex as the shape of the universe have been developed thanks to geometry.

Einstein discovered that the shortest distance between two points is not actually a straight line but a geodesic and this thanks to the geometry of the sphere, in this way it has been theorized that the shape of the universe is curved.

With the trigonometric parallax, the distance between the stars can be calculated, which is a way in which geometry and its uses in the development of humanity are still very relevant today.

## Is there a universal form of communication through geometric shapes?

The so-called formations in crops are complex geometric designs that speak about an intelligence and a form of communication beyond our planet, of which it cannot yet be shown that these complex designs are created by man.

## Are geometry and new subatomic theories related?

The concepts and forms of the universe beyond what we know can have geometric shapes. Theories of the whole and the conception of subatomic particles could be linked to geometry.

Dr. Samantha Robson ( CRN: 0510146-5) is a nutritionist and website content reviewer related to her area of expertise. With a postgraduate degree in Nutrition from The University of Arizona, she is a specialist in Sports Nutrition from Oxford University and is also a member of the International Society of Sports Nutrition.