CONSTRUCTIVE GEOMETRY B - LECTURES

doc. RNDr. Daniela Velichová, CSc.


Lecture 1. Geometry of the extended Euclidean space.              Geometric transformations.

                 Axial affinity.              Central collineation.

                  Basics of projections.

Lecture 2. Monge method.              Axonometric method.              Superposition of figures.

Lecture 3. Metric problems in both methods.              Views of planar figures in both methods.             

Lecture 4. Geometry of the Creative space.              Matrices of projections.              Matrices of transformations.

Lecture 5. Curves in the extended Euclidean space.              Plane curves.              Space curves.

Lecture 6. Interpolation curves.

Lecture 7. Surfaces in the extended Euclidean space.

Lecture 8. Translation surfaces.              Homothetical surfaces.

                    Prismatic and pyramidal surface.                 Cylindrical and conical surface.                 Intersetions of lines and surfaces.

Lecture 9. Developable surfaces - torses.

Lecture 10. Surfaces of revolution.              Special types of surfaces of revolution.              Quadratic surfaces.

Lecture 11. Helical surfaces - helicoids.

Lecture 12. Envelope surfaces.              Interpolation surfaces.

Lecture 13. Intersections of surfaces.              Intersections of elementary surfaces.