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Lecturer(s)
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Chodorová Marie, RNDr. Ph.D.
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Jukl Marek, doc. RNDr. Ph.D.
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Course content
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1. Afinne and projective planes. 2. The Desargues axiom, the Papp and Fano axioms. 3. Projective space. 4. Projective relations between linear formations. 5. Perspectivity and projectivity of lines and bunches. 6. Involution.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training)
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Learning outcomes
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Get the basic knowledges of projective geometry. To master solving the construction of conic section from elemnts on the base of projective and affine characteristic.
1. Knowledge Describe properties of affine and projective spaces. Students apply knowledge of projective, affine and metric characteristic of conic sections.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Systematic Observation of Student
Credit: active participation in seminars, a written test. Exam: the student has to understand the subject and be able to solve assigned problems.
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Recommended literature
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Bureš, Burešová. (1983). Projektivní geometrie I. SPN Praha.
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Havlíček K. (1956). Úvod do projektivní geometrie kuželoseček. SNTL Praha.
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Chodorová M. (2013). Projektivní geometrie. VUP Olomouc.
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Kadleček J. (1974). Základy geometrie. SPN Praha.
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