Graphic PIZiadas

Graphic PIZiadas

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Representation Systems

Sistemas_de_representacion

Sistemas_de_representacion

Fundamentos Proyectivos

perspectividadFundamentos Proyectivos (FP)

Representation systems are based on the operations or projective transformations.

Projective invariant concepts are analogous to the corresponding metric, constituting a geometry in which the measure leads to the form. The simple reason and the cross-ratio are in the conceptual basis of this model.

Clasificación de los Sistemas de Representación

Classification Representation Systems

Elementos geométricos

Fundamentals projective: Geometries

Categorías de las formas geométricas y operaciones proyectivas

Categories projective geometric shapes and operations

Teorema de Thales

Theorem of Thales

Ternas ordenadas de elementos

Ordered triples of elements

Proyecciones

Projections

Relaciones perspectivas

Foreign prospects

Diédrico System: Topología básica

Fundamentals del System dihedral

Fundamentals del System dihedral

Diédrico System: Projection of the line

Projection of the line

Third straight projection

Third straight projection

True magnitude of the line

True magnitude of the line

Projection of the plane

Projection of the plane

Projection of points in the plane

Projection of points in the plane

Incidencia (Intersecciones)

Incidence (Intersections)

Intersections in outlook: straight and cuboids

Intersections in outlook: straight and cuboids

System dihedral: Paralelismo y perpendicularidad

Theorem of the three perpendicular

Theorem of the three perpendicular

Straight lines in a plane parallel to the projection

Straight lines in a plane parallel to the projection

Fall line

Fall line

Perpendicular to a plane

Perpendicular to a plane

Distance from a point to a plane

Distance from a point to a plane

Distance from a point to a line

Distance from a point to a line

System dihedral: Proyecciones auxiliares

Fundamentals of auxiliary projections, changes in plane

Fundamentals of auxiliary projections, changes in plane

The problem of the CAP with three forms

The problem of the CAP with three forms

 

  • 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 (CP_v14c5).
    General projective. Axles and projective centers.
    Training.

 

Second order

 

  • LO-F-022. FP6-second order (FP_v09c6).
    Forms of second order. Conical.
    Training.
  • LO-F-023. FP7-Overlapping Forms (FP_v09c7).
    Projective shapes superimposed.
    Training.
  • LO-F-024. FP8-Involutions (FP_v09c8).
    Projective Involutions.
    Training.

 

Representation Systems

Basics

  • LO-F-025. SR1-Projections (SR_v15c1).
    Fundamentals cylindrical and conical Screenings.
    Training.
  • LO-F-026. SR2-Projection Plans (SR_v15c2).
    Projections on different planes. Projective Invariant.
    Training.
  • LO-F-027. SR3-Classification (SR_v15c3).
    Classification of cylindrical and conical systems.
    Training.

 

Membership or incidence

  • LO-F-028. SR4-Membership (SR_v15c4).
    Membership and correspondence between elements projections.
    Training.
  • LO-F-029. SR5-Parallelism (SR_v15c5).
    Conservation parallelism and obtaining cylindrical projections in the conical limit points.
    Training.
  • LO-F-030. SR6-Projection of planes (SR_v15c6).
    Treatment of planes projections.
    Training.
  • LO-F-031. SR7-Incidence (SR_v15c7).
    Treatment of intersections between lines and planes.
    Training.

Measure

  • LO-F-032. SR8-Perpendcularidad (SR_v15c8).
    Perpendicularity.
    Training.
  • LO-F-033. SR9-Measure (SR_v15c9).
    Treatment distance measurement and.
    Training.
  • LO-F-034. SR10-auxiliary projections (SR_v15c10).
    Projections auxiliary projection planes changes.
    Training.
  • LO-F-035. SR11-Turns and discouragements (SR_v15c11).
    Money and dejection as auxiliary transformations to obtain real magnitudes.
    Training.

 

Links

Canal de YouTube : Descriptive geometry

Canal de YouTube : Descriptive geometry