|
Lecturer(s)
|
-
Sapáková Persefoni, Mgr.
-
Chodorová Marie, RNDr. Ph.D.
|
|
Course content
|
Nomenclature and notation. Conception of solving constructional problems. Solvability of geometric problems. Method of construction based on algebraic expression, dividing ratio. Sets of points. The Apollon circle. Apollon's and Pappos' problems. Conic section - definition, construction and focal characteristics of ellipse, hyperbola and parabola. Construction of conic sectioncs Power point to circle, chordal, potency centre. Bonds of circles, application. Congruences in a plane - definition, classification, their characteristics, assembling and application. Similarity and homothety in a plane, characteristics and application. Euler's straight line and Feuerbach's circle. Circular inversion - mapping of points, straight lines, circles, characteristics. Application. Hilbert's axiomatic system.
|
|
Learning activities and teaching methods
|
|
Lecture, Work with Text (with Book, Textbook)
|
|
Learning outcomes
|
Deepen knowledges in sets of points laid characteristic and basic mappings in plane.
1. Knowledge Students describe geometric constructions and mappings in plane.
|
|
Prerequisites
|
unspecified
|
|
Assessment methods and criteria
|
Student performance, Analysis of Activities ( Technical works)
Credit: the student has to pass one written test (i.e. to obtain at least half of the possible points) and deliver two assignments.
|
|
Recommended literature
|
-
současné středoškolské učebnce planimetrie a stereometrie.
-
Machala F., Sedlářová M., Srovnal. (2002). Konstrukční geometrie. UP Olomouc.
-
Vyšín J. a kol. (1970). Geometrie II. SPN Bratislava.
-
Vyšín J. a kol. (1965). Geometrie I. SPN Praha.
|