has traditionally been defined as part of geometry that studies the properties of incidence figures, completely abstracting the concept of measurement.
In considering such a complete quadrilateral, the Projective Geometry learning no properties in size between sides and angles, but all that is derived from having a figure formed by four straight non-concurrent three to three that identifies six breakpoints .
These properties that at first glance may seem irrelevant, may become powerful tools without which we could not unwrapped olvernos in geometry that requires the design engineering.
The problem of the painter
Consider for a moment the problem that an artist must paint faces when a real object on the canvas: it should play almost identically that perceived reality.
In an effort to produce more realistic paintings, artists of the Renaissance was deeply interested in discovering the laws governing constructio n of the projection of real objects onto a plane .
Masaccio, 1435. First paint
perspective.
Leonardo Da Vinci.
The Last Supper.
So how can we represent a three dimensional object on a plane? What is preserved by projection if they do neither the length nor the angles? What is the relationship between two sections of the same figure? How far away are the stars?
All these aspects are included in Projective Geometry.
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