The projective geometry or “of false position” is the basis for the future study of systems of representation, where prospects relationships established application models. Sin embargo, This geometry can also be used to abstract reasoning as applies the metric geometry, being particularly useful in the study of curves and surfaces such as conic and quadric.
Introduction |
|
 Origen de la projective geometry |
 Parallel lines intersect at infinity, Myth or Reality? |
Geometric elements and relationshipsprojective |
|
 Fundamentals projective: Geometries |
 Categories projective geometric shapes and operations |
 Theorem of Thales |
 Ordered triples of elements |
 Elements arranged quaterns |
 Perspectivity |
 Construction of quadruples of points |
 Dynamic construction of a quadruplet of points Geogebra |
Concepts of harmonic relations |
|
 Full Cuadrivertice |
 Polar of a point with respect to two lines |
Projectivity in forms of first order |
|
 Projectivity |
 Overlapping shapes first order |
 What is an involution in geometry? |
|
 Projective projective axis of two series |
 Determination of homologous elements in series projective |
 projective axis of two series with Geogebra Interactive |
|
 Projective center of two projective bundles |
 Determination of homologous elements in projective beams |
 projective center of two interactive Beams with Geogebra |
|
Projectivity in second-order forms |
|
 Definition of the conical projective |
 Circumference as a series of second order |
 Intersection of straight and tapered |
 Tangent from a point to a conical |
 Overlapping series of second order |
 Application of overlapping series of second order |
 You do overlapping of second order |
 Application of second-order overlapping beams |
 The false position method. Application of overlapping series of second order. |
|
Involution in second-order series |
|
 Axis of involution |
 Autopolares triangles |
 Center of involution |
 Centro de la cónica |
 Conjugate directions |
|
 Conjugate polar diameters |
 polar axes of a conic from two pairs Diameters Polar Conjugates |
- LO-F-017. Projective FP1-Basics (FP_v09c1).
Fundamentals projective. Projection Operations section. Ordered triples of elements.
Training. - LO-F-018. FP2-quaternions (FP_v09c2).
Element quaterns: Reason double.
Training. - LO-F-019. FP3-perspectivity (FP_v09c3).
Projective perspective.
Training. - LO-F-020. FP4-Harmonic Relations (FP_v09c4).
Foreign harmonic lines and circles orthogonal.
Training. - LO-F-021. FP5-Projectivity (FP_v09c5).
General projective. Axles and projective centers.
Training.
