Geometry

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department Děčín

Synopsis:

Orthographic and oblique projections, linear perspective. Topographic surfaces and their orthogonal projection. Differential geometry of curves - parameterization, arc of the curve, torsion and curvature, Frenet`s trihedron. Kinematics - a curve as a trajectory of the motion, the velocity and acceleration of a particle moving on a curved path.

Requirements:

plane and space geometry, analytic geometry

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Basic methods of the descriptive geometry, sketch of a 3D geometric object. Parametrization of the curve, torsion and curvature. Application of differential geometry in a road design.

Study materials:

Kargerová, M., Mertl, P. Geometrie. Praha: Vydavatelství ČVUT, 1996.

Pomykalová, E. Deskriptivní geometrie pro střední školy. Praha: Prometheus, 2010.

Kargerová, M. Deskriptivní geometrie pro technické školy vysoké, vyšší a střední, Montanex, 1997.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Bachelor TET-LOG Part-Time from 2022/23 (compulsory course)
• Bachelor TET-LOG Part-Time from 2023/24 (compulsory course)
• Bachelor TET-DOS Full-Time from 2023/24 (compulsory course)
• Bachelor TET Common Part of Study Full-Time from 2024/25 (compulsory course)
• Bachelor TET-DOS Full-Time from 2024/25 (compulsory course)