Using the laws of duality in projective models can get a set of properties and dual theorems from other previously deducted. Obtaining homologous elements in the projective case series was performed by obtaining intermediate pespectividades allowed perspectival do we get what we have called “projective axis”. We will see that in the case of projective bundles, Dual reasoning leads us to determine projective centers.
The operational prospects relationships is reduced to the concepts of belonging, so we will use these techniques to suit projective models simplify obtaining homologous elements.
How can we define two projective series? On how many homologous elements are necessary to determine a projectivity?How can we obtain homologous elements?
Projective foundations are based on the definitions of "ordered triples of elements" and “quaternions for defining the cross ratio”, and relationships called “perspectives” between elements of identical or different nature.
These perspectives relations, that will be used in determining projections representation systems, defined from two projective operators:
Projection
Section
Analogously to the definition of saw “ordered triples of elements”, we can state a definition that involves four elements.
The non-conservation of the simple reason conical projections necessary to study a new model that is applicable in these representations, a new invariant present in double reasons.
One of the parts of the geometry that is more prevalent in the corresponding representation is descriptive geometry. Among the works that have made my students, some have focused on the origins of the different geometries, like the one I present today which relate historical aspects and characters that have contributed significantly to this field of science of great application to ingeniarías and Art.
The items ordered triples of metric geometry is based on the well-known theorem of Pythagoras. All theorems are deduced from the concept of measurement that is derived from the right triangles. Analogous, projective geometry is based on another important theorem, el teorema de Thales, que en lugar de un concepto… (leer más)
One of the most important theorems of geometry is the statement by Thales of Miletus. Along with the Pythagorean theorem establishes the fundamentals of axiomatic geometry and projective metrics.
Geometric shapes are categorized.
From a viewpoint parametric, the category of a geometric shape is the number of variables or data necessary for referencing an element thereof.
An axiomatic logical system of the definition of a small number of basic elements that are related by a set of rules. Applying these rules to infer properties or theorems which in turn are useful for generating new properties.
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