The used geometry for many troubleshooting measures areas, lengths and volumes. It is a set of concepts, theorems, hypotheses and constructions that study the properties of the figures of the plane and of space.
This subject is considered one of the oldest sciences invented by man. It is one of the branches of mathematics that is responsible for studying the properties and shapes of a geometric body.
Geometry is always in constant exchange with other aspects such as algebra, arithmetic, mathematical analysis and the theory of functions.
The theodolite, compass, and pantograph are some of the instruments used to create the precision necessary for measuring objects.
The 4 main uses of geometry
1- In measurements
Geometry can be used to measure physical bodies and to know the properties that dominate in the representation of the objects around.
It is mainly used to know and determine the dimensional properties of various science and technology areas.
It can also be applied in the creation of industrial designs, in architectural plans and even in engineering plans.
The objective of geometry is to help structure the use of logical-mathematical content, in order to implement these concepts in real life.
2- In education
Knowing about space, the relevance of positions, shapes and geometric figures is of vital importance in the educational area, especially in the children's educational process.
From an early age it is convenient for children to be educated on this subject to relate the space and the figures that are part of their reality.
There is a close relationship between geometry and artistic expression. It can be used as a teaching method to help the children in training feel interest or motivation to play, using the notions that are implemented in this.
Learners can practice direct observations of space through the senses. They can even develop spatial thinking while playing.
The use and understanding of geometry is also useful for students in higher education who want to develop visual, reasoning, communication and visual skills.
3- In art
There are many artists who have used geometric figures and concepts in their plastic representations. It can even be seen that geometry is a basic component for these creations.
An example of this is the Colombian sculptor and painter Fernando Botero, in whose works circular figures predominate.
4- In language
Geometry can be used when using verbal language when trying to communicate with other people: when talking about the shape of an object, a location, when explaining properties and even terminology.
At that time direct use is made of geometric terms. For example, concepts such as the plane, the curve, the line, a point, the angle, the parallel, among others.
References
- Anton, H. (1991). Calculus and Analytical Geometry. Volume 1. Limusa. Mexico.
- Boyer, C. (1991). A History of Mathematics, second edition. New York. Uta C. Merzbach.
- Dowmns, Moise. (1986). Modern Geometry. Addison-Wesley Iberoamericana.
- Kappraff, Jay. (2014). A Participatory Approach to Modern Geometry. World Scientific Publishing.
- Thompson, A. (1974). Geometry within everyone's reach. Editorial UTHEA.