Home / Geometry


Share on Facebook Share on Twitter Share on LinkedIn

The geometry is a branch of mathematics devoted to the analysis of the magnitudes and properties of shapes, both in space and in a plane. According to your specific object of study, it's possible to differentiate between different specializations or areas of geometry.

The descriptive geometry, in this framework, is centered on the resolution of problems of the geometry of space through operations that develop in a plane, representing in it the figures of solid bodies.

To understand the definition of descriptive geometry, therefore, we have to understand what various concepts refer to. The geometry of space is that geometry that studies three-dimensional objects: that is, they have three dimensions. The solids are precisely three-dimensional bodies.

Descriptive geometry, in short, enables the representation of three-dimensional space on a two-dimensional surface. In this way it helps to solve questions related to spatial problems, but in two dimensions.

The background of descriptive geometry dates back to ancient times. Precisely, there is a large number of drawings that were found in caves belonging to prehistory that show us that need that human beings have always felt to express themselves through drawing to capture representations of their surroundings. It's important to note that thanks to these creations, today we have a lot of information to try to understand how our ancestors lived, what their needs were and what discoveries they made through observation, for example.

Of course, it was only with the arrival of the Renaissance that the human being began to develop in-depth graphics, that is, to include in his drawings this dimensional axis without which we can't imagine life. With the consolidation of the geometric techniques, the representation of the figures of the three-dimensional bodies in a plane was perfected and the bases for the technical drawing were laid.

Until the use of depth in the graphic representations arose, it was necessary to make drawings very faithful to reality, as if they were photographs, since the depth of the objects from a geometric point of view was not taken into account. Mathematics provides a series of conceptual tools that facilitate drawing, since they decompose reality into a series of very simple figures, each with its properties. Something similar occurs with musical notation, which allows you to study and memorize melodies through your analysis, something much less demanding for the brain than the mere process of remembering them raw.

The stonework is one of the disciplines that, at the end of the Middle Ages, gave rise to the creation of works in three dimensions of great complexity, specially of the stones that were used to join the arches or vaults.

With the passage of time, many people specialized in the use of perspective, and thus the formal basis of the so-called projective geometry emerged, the part of mathematics that focuses on the study of geometric figures without including measurement. It was only in the year 1795 that the mathematician Gaspard Monge published a work called «Descriptive Geometry».

The architecture, the topography and engineering are some of the science that appeal to descriptive geometry, which is established as a useful tool for the development of any type of design.

In other words, descriptive geometry is ideal for any discipline that requires the representation of elements on a flat surface, which in the past used to be a sheet of paper and today, the virtual canvas provided by computer design programs.

See also:
Back to top

Home | About Us | Contact | Privacy Policy | Terms of Use

Copyright 2011 - 2019 - All Rights Reserved