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The course is focused on the properties of geometric shapes and mapping in three-dimensional Euclidean
space, deepens and extends the secondary school knowledge from stereometry. In particular, the synthetic
approach is used to derive relationships, prove them, and in problem solving.
Last update: Staněk Jakub, RNDr., Ph.D. (12.06.2019)
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The course is finalized by a credit from exercise class and by a final exam.
Requirements for receiving the credit from exercise class - distance learning:
1. Solution of tasks assigned in exercises (ZOOM). The tasks assigned and their solutions will be gradually published at https://www2.karlin.mff.cuni.cz/~robova/NMTM205-vystaveno/. 2. Successful completion of the credit test.
Requirements for receiving the credit from exercise class - full-time teaching:
1. Active attendance (including using drawing aids) - three absences are allowed. A higher number of absences can be replaced by the elaboration of seminar assignments. 2. Successful completion of the credit test. Last update: Robová Jarmila, doc. RNDr., CSc. (14.10.2020)
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Secondary school Czech textbooks - Stereometry.
Kadleček, J.: Geometrie v rovině a v prostoru pro střední školy. Praha: Prometheus, 1996.
Kislev, A. P.: Kiselev's Geometry/Book II. Stereometry. El Cerrito, Calif.: Sumizdat, 2008.
Pomykalová, E.: Matematika pro gymnázia - stereometrie. Praha: Prometheus, 2008.
Kuřina, F.: Deset pohledů na geometrii. Praha: MÚ AV ČR, 1996.
Eukleides: Základy. Přeložil F. Servít, Praha: JČM, 1907.
Hejný, M.: Aj geometria naučila člověka myslieť. Bratislava: SPN, 1990. Last update: Robová Jarmila, doc. RNDr., CSc. (28.09.2020)
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The credit from exercise class is necessary for taking part in the final exam.
The oral exam has a form of colloquium. Requirements for the exam correspond to the syllabus of the subject to the extent that was presented at the lecture. In the case of distance lectures (ZOOM), the lecture materials will be gradually published at https://www2.karlin.mff.cuni.cz/~robova/NMTM205-vystaveno/. Last update: Robová Jarmila, doc. RNDr., CSc. (14.10.2020)
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• Basic properties of geometric figures in three-dimensional space.
• Fundamental theorems of stereometry and their proofs.
• Positional and metric properties of spatial figures.
• Solids in oblique projection.
• Solids and their properties, particularly polyhedra, Euler's Theorem, Cavalieri's Principle.
• Geometric transformations in three-dimensional space (isometries, similarities).
• Geometric constructions in three-dimensional space. Last update: Robová Jarmila, doc. RNDr., CSc. (28.09.2020)
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