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Lecturer(s)
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Švrček Jaroslav, RNDr. CSc.
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Sapáková Persefoni, Mgr.
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Course content
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1. Congruence and similarity in a plane. 2. Areas of plane-geometry figures. 3. The Heron´s formula. The Bretschneider´s formula. 4. The Ptolemy theorem and the Ptolemy inequality. 5. Geometry of the triangle. 6. Principles of solid geometry.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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To deepen knowledges in elementary geometry.
1. Knowledge Deepen knowledges in elementary mathematics
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Prerequisites
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unspecified
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Assessment methods and criteria
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Student performance, Didactic Test, Systematic Observation of Student
Credit: the student has to solve five problems (homework) assigned during the course and has to pass one written test (i.e. to obtain at least half of the possible points).
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Recommended literature
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Horák S. (1966). Kružnice. ŠMM Mladá fronta Praha svazek 16.
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Šedivý J. (1980). Shodnost a podobnost v konstrukčních úlohách ŠMM. Praha.
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ŠVRČEK J., CALÁBEK P. (2007). Sbírka netradičních matematických úloh. Prometheus Praha.
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Švrček J. (1998). Vybrané partie z geometrie trojúhelníka. UK Praha.
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