Významné věty afinní geometrie
| Thesis title in Czech: | Významné věty afinní geometrie |
|---|---|
| Thesis title in English: | Important theorems of affine geometry |
| Key words: | afinní|geometrie|Menelaova|Cevova|Sphaerica |
| English key words: | affine|geometry|Menelaus|Ceva|Sphaerica |
| Academic year of topic announcement: | 2021/2022 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | doc. RNDr. Zbyněk Šír, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 13.01.2022 |
| Date of assignment: | 13.01.2022 |
| Confirmed by Study dept. on: | 19.01.2022 |
| Date and time of defence: | 16.06.2022 08:30 |
| Date of electronic submission: | 12.05.2022 |
| Date of submission of printed version: | 16.05.2022 |
| Date of proceeded defence: | 16.06.2022 |
| Opponents: | Mgr. Zdeněk Halas, DiS., Ph.D. |
| Guidelines |
| Student/ka se bude věnovat několika větám platným v afinní geometrii, zejména větě Meneláově. Zavede potřebné pojmy, představí různé důkazy a historický kontext. |
| References |
| D.A. Brannan, M.F. Esplen, J.J. Gray, Geometry, Cambridge 2012.
L. Boček, M. Sekanina: Geometrie I,II, SPN Praha, 1986, 1988. Max Schindler, Evan Chen, Barycentric Coordinates in Olympiad Geometry, 2012, https://web.evanchen.cc/handouts/bary/bary-full.pdf Meneali Sphaericorum Libri III, https://play.google.com/books/reader?id=Is02AAAAMAAJ&pg=GBS.PA80 Barycentric coordinates, (online) https://www.cut-the-knot.org/triangle/barycenter.shtml |