MU06106 Descriptive Geometry I

Mathematical Institute in Opava
Winter 2014
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Vladimír Sedlář, CSc. (lecturer)
RNDr. Vladimír Sedlář, CSc. (seminar tutor)
Guaranteed by
RNDr. Vladimír Sedlář, CSc.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives (in Czech)
Deskriptivní geometrie se zabývá studiem konstruktivních metod, kterými zobrazujeme prostorové útvary na rovinu.
Syllabus
  • Stereometry - positional and metric properties of basic geometric figures.
    Projections in PE3 - central projection, parallel projection, collineation in PE3 and in the plane.
    Parallel projection - representation of lines and planes in parallel projections. Invariants of parallel projection. Perpendicular projection, basic properties.
    Free parallel projection - basic properties. Representation of simple bodies. Solving stereometric problems. Representations of circle, circular cylinder and circular cone.
    Axial affinity - basic notions, representation of a circle, basic properties of ellipse.
    Monge projection - basic notions, representation of points, lines and planes. Representations of simple bodies. Position problems, metric problems. Plane sections and surface diagrams of simple bodies.
Literature
    recommended literature
  • J. Žára a kol. Moderní počítačová grafika. Computer Press, Brno, 2004. ISBN 80-251-0454-0. info
  • V. Sedlář. Stereometrie - cvičení z konstrukční geometrie. Ostrava, 1992. info
  • E. Kraemer. Zobrazovací metody I, II. Praha, 1991. info
  • A. Urban. Deskriptivní geometrie I, II. Praha, 1982. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 1997, Summer 1998, Winter 1998, Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020.
  • Enrolment Statistics (Winter 2014, recent)
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