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Lecturer(s)
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Juklová Lenka, RNDr. Ph.D.
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Rachůnek Lukáš, doc. RNDr. Ph.D.
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Course content
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1. Common surfaces of revolution: Rotation round a line. Basic concepts, construction of points of surfaces of revolution, of generating curves, of the main meridian, construction of tangent planes and normals in regular point of surface of revolution. Sections of surfaces. Points of intersection. Lighting of surfaces of revolution. Contours of surfaces of revolution in Monge projection, orthogonal axonometric and skew projection. 2. Quadrics of revolution: Definition of quadrics of revolution, basic concepts. Types of quadrics of revolution and their characteristics, regular and singular quadrics of revolution, homothetic quadrics, projective characteristics of quadrics of revolution. Sections of quadrics of revolution. Points of intersection. Tangent planes. Parallel lighting of quadrics of revolution. Contours of quadrics of revolution in Monge projection, orthogonal axonometric and skew projection. 1. Space curves. 2. Developed surfaces. 3. Warped quadrics. 4. Warped surfaces 5. Screw surfaces.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming), Projection (static, dynamic)
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Learning outcomes
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Students apply their knowledge from imaging methods on surfaces of revolution and quadrics of revolution. Students apply their knowledge from imaging methods on developable surfaces, warped and screw surfaces and study their properties.
3. Aplication Students apply their knowledge from imaging methods on subjects associated with practical development
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam, Student performance
Credit: the student has to turn in assigned homework. Exam: the student has to understand the subject.
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Recommended literature
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Juklová L., Ošlejšková M. (2013). Rotační kvadriky v příkladech. VUP Olomouc.
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Juklová L. (2012). Rotační plochy. VUP Olomouc.
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Kadeřávek, Klíma, Kounovský. (1954). Deskriptivní geometrie II. ČSAV Praha.
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Machala F. Rotační plochy.
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Piska R. Medek M. (1966). Deskriptivní geometrie II. SNTL Praha.
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Urban A. (1967). Deskriptivní geometrie II. SNTL Praha.
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