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Lecturer(s)
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Vysloužil Tomáš, Ing. Ph.D.
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Course content
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1. Area figures: line, triangle, circle; appropriate theorems with applications. 2. Conic sections, osculating circle, tangents. 3. Spatial figures: circumference, volume. 4. Trigonometry application: vector resolution, triangle solving and trigonometry theo-rems. 5. Monge projection: point and line, relative position of straight lines. 6. Monge projection: plane, plane positions, projection of plane, main lines of plane, point and plane. 7. Monge projection: straight line and plane, line and plane intersection, point and plane distance. 8. Monge projection: mutual position of lines, area figures in general plane, intersection line of planes. 9. Monge projection: intersection construction of plane figures lying in general planes. 10. Monge projection: simple bodies, cube, prism, pyramid, etc.; bodies' position. 11. Monge projection: body and plane, body section, plane rotation and tilting. 12. Monge projection: affinity, body intersection, lateral surface of a solid. 13. Developable surface, transition surface, surface intersection.
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Deals with practical knowledge and usage of the finite geometric figures, being constructed with the aid of rulers and a pair of compasses, two-plane projection, conic sections, spirals, involute, etc., including the solid geometry (intersections and developments). The subject itself is a prerequisite for the Engineering Drawing and other technical subjects.
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Prerequisites
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unspecified
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Assessment methods and criteria
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unspecified
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Recommended literature
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Bayer, Z., Janovec, J. Úvod do inženýrské geometrie, 2. přepracované vydání UJEP Ústí n. L., 2009.
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Píska, R., Medek, V. Deskriptivní geometrie I. SNTL, Praha. 1972.
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Urban. Deskriptivní geometrie I, II. SNTL/Alfa, Praha, libovolné vydání. 1972.
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Vysloužil, T., Hralová, I. Konstruktivní geometrie část I, UJEP Ústí n. L., 2012.
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Vysloužil, T., Hralová, I. Konstruktivní geometrie část II, UJEP Ústí n. L., 20012.
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