| Topic |
Sub-topic |
Lesson 1.- DIHEDRAL REPRESENTATION SYSTEM:
FUNDAMENTALS AND POSITIONAL PROBLEMS |
Introduction. Basics. Fundamentals. Representation of point, line and plane. Spatial basic geometric relations. Parallelism.
Intersections. Perpendicularity |
Lesson 2.- DIHEDRAL REPRESENTATION SYSTEM:
GRAPHICS METHODS AND METRIC PROBLEMS. |
Geometric Procedures: Change of planes of projection. Rotations. Plans' Abatment (rotated planes method). Distances. Angles. |
Lesson 3.- DIHEDRAL REPRESENTATION SYSTEM:
ANALYSIS AND REPRESENTATION OF SURFACES |
Representation of surfaces. Regular polyhedra. Radiating polyhedra: Pyramid and Prism. Radiated Quadrics: Cone and Cylinder. Representation of the Sphere. |
Lesson 4. DIHEDRAL REPRESENTATION SYSTEM:
INTERSECTION OF SURFACES AND THEORY OF SHADOWS |
Intersection of surfaces. Methods. Architectural applications: vaults, domes and lunettes. Shadow Theory applied to Diedral System. |
| Lesson 5.- FIGURED PLANS SYSTEM (TOPOGRAPHICAL PROJECTION): FUNDAMENTALS |
Introduction. Fundamentals. Representation of the plane.
Positional Problems: parallelism, perpendicularity, intersections. Abatments. Metrical problems: distances and angles. Representation of geometric surfaces. |
Lesson 6.- FIGURED PLANS SYSTEM (TOPOGRAPHICAL PROJECTION): APPLICATIONS IN BUILDING. ROOFS. LAND REPRESENTATION.
|
Graphical resolution of roofs. Topographical surfaces and interventions on the ground: dirt moving and road layout. |
| Lesson 7.- ORTHOGONAL AXONOMETRY. Fundamentals and implementation. |
Orthogonal axonometry. Overview. Axonometry classes. Tri-rectangle triangle. Axonometric axes. Axonometric scales. Schlömilch-Waisbach theorem. Representation of the fundamental geometric elements: point, line and plane. Positional problems. Intersections. Parallelism and perpendicularity. Implementation in orthogonal axonometry: representation of plane figures, geometric bodies and shadow theory. |
| Lesson 8.- OBLIQUE AXONOMETRIES: Cavalier (cabinet) and Military Perspective. Fundamentals and implementation. |
Oblique Axonometry. Overview. Pohlke's theorem. Cavalier (cabinet) and Military perspective. Projection direction. Reduction coefficients. Representation of the fundamental geometric elements: point, line and plane. Positional problems. Intersections. Parallelism and perpendicularity. Implementation in oblique axonometry: representation of plane figures, geometric bodies and Shadow Theory. |
| Lesson 9.LINEAR PERSPECTIVE. Fundamentals. |
Generalities and conventions. Representation of the fundamental geometric elements: point, line and plane.
Positional problems. Intersections. Parallelism. Perpendicularity. Rotated plane method. Metric problems. |
| Tema 10. LINEAR PERSPECTIVE. Implementation. |
Visual perception and representation. Influence of the relative position of the elements of the linear perspective. Vision angle. Classification of linear perspectives according to the position of the Point of View and the Plane of the Picture. Perspective restitution and Shadow Theory. |
Subjects