Course detail

Descriptive Geometry

FAST-AA002Acad. year: 2018/2019

Orthogonal axonometry, skew axonometry, oblique projection. Linear perspective, basics of photogrammetry. Helix, developable helicoidal surface, right closed rule helicoidal surface. Surfaces of revolution . Warped surfaces. Lighting. Teoretical designs of roofs. Introduction to topographic surfaces.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Students should be able to construct conics using their focus properties, basics of stereometry, perspective colineation and affinity. Understand and get the basics of projection: Monge`s projection, axonometry and linear perspective. They should be able to solve simple 3D problems, display the basic geometric bodies and surfaces in each projection, their section. Students should be able to draw an object in a linear perspective. They construct a helix using specified elements, an orthogonal closed rule right helicoidal surface. They construct a hyperbolic paraboloid, circle and parabolic conoid, arcs.

Prerequisites

Construction of conics using their focal properties.Perspective collineation, perspectoive affinity, affine image of a circle. Monge´s projection.

Co-requisites

Not applicable.

Recommended optional programme components

Student can register for the optional subject BA91 in this semester. The contents of the course is an introduction to the issues of the subject of descriptive geometry.

Recommended or required reading

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.
Information is conveyed in the form of lectures and practiced in seminars. Consultation periods are available to students. Assigned work is part of the study activities of the students.

Assesment methods and criteria linked to learning outcomes

Full-time study programme: Students have to pass two credit tests, submit two drawings and other homework, 100% of attendance.
Followed by an exam with a pass rate of at least 50%.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Basics of lihting. Technical lighting.
2. Surfaces of revolution, sections of surfaces of revolution.
3. Lighting of surfaces of revolution .
4. Axonometry – basics.
5. Orthogonal axonometry.
6. Skew axonometry, oblique projection.
7. Linear perspective.
8. Linear perspective.
9. Basics of photogrammetry. Reconstruction from a vertical picture.
10. Warped quadrics. Hyperbolic paraboloid. One-sheet hyperboloid.
11. Higher order warped surfaces. Theoretical designe of roofs.
12. Helix, developable helicoidal surface, helicoidal conoid.
13. Topographic surfaces.

Aims

After the course the students should understand and know how to use the basics of orthogonal axonometry, skew projection, and linear perspective.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Classification of course in study plans

  • Programme B-P-C-APS (N) Bachelor's

    branch APS , 1. year of study, winter semester, 4 credits, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Basics of lihting. Technical lighting.
2. Surfaces of revolution, sections of surfaces of revolution.
3. Lighting of surfaces of revolution .
4. Axonometry – basics.
5. Orthogonal axonometry.
6. Skew axonometry, oblique projection.
7. Linear perspective.
8. Linear perspective.
9. Basics of photogrammetry. Reconstruction from a vertical picture.
10. Warped quadrics. Hyperbolic paraboloid. One-sheet hyperboloid.
11. Higher order warped surfaces. Theoretical designe of roofs.
12. Helix, developable helicoidal surface, helicoidal conoid.
13. Topographic surfaces.

Exercise

26 hours, compulsory

Teacher / Lecturer

Syllabus

1. Revision – Monge projection.
2. Projections of a simple bodies and surfaces, their sections and intersections with a straight line. Technical lighting.
3. Tangent plane of a surface of revolution, section of a surface of revolution.
4. Lighting of a surface of revolution.
5. Orthogonal axonometry. Metric problems in coordinate planes.
6. Orthogonal axonometry. Projections of simple bodies and surfaces, their sections and intersections with a straight line.
7. Projecting in oblique projection. Projection of a circle in a coordinate plane. Displaying simple bodies. Cutting method.
8. Linear perspective. Intersection method. Constructing a free perspective.
9. Linear perspective. Method of rotated ground plan. Other methods of projecting a perspective.
10. Linear perspective. Vertical picture. Reconstructing an object from a perpendicular picture.
11. Warped hyperboloid, construction. Hyperbolic paraboloid. Hyperbolic paraboloid given by skew tetragon. Roofing by hyperbolic paraboloid.
12. Higher-order warped surfaces. Theoretic design of roofs.
13. Constructing a helix. Right helicoidal conoid. Credits.

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