Tetrahedra and their properties
| Autor: | ČERVENKOVÁ, Kateřina |
|---|---|
| Jazyk: | čeština |
| Rok vydání: | 2019 |
| Předmět: |
pracovní listy
Mongeův bod pravidelný čtyřstěn stejnostěnný čtyřstěn kulová plocha dvanácti bodů equifacial tetrahedra ortocentrický čtyřstěn the eight spheres of tetrahedron tangent to the planes of its faces twelve-point sphere regular tetrahedron worksheets Monge point orthocentric tetrahedron osm kulových ploch vepsaných čtyřstěnu |
| Popis: | This diploma thesis Tetrahedra and their properties summarizes the basic properties of tetrahedron. The main goal is to introduce the topic to a reader of this thesis. Author would like to provide basic information about the particular types of tetrahedra and their properties. I try to examine there a spatial analogy of selected terms of a triangle. Conditions for the existence of the orthocenter of a tetrahedron are derived. Then for a non-orthocetric tetrahedron the Monge point as its generalization is introduced. By most properties their proofs are given. In the final part worksheets for pupils of primary and secondary schools are designed. Pictures in the thesis are created in a geometrical program called GeoGebra 3D. These pictures can help the reader to understand this problem. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|