| Title: | Brocardovi točki trikotnika |
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| Authors: | ID Vuk, Marjana (Author)
ID Hvala, Bojan (Mentor) More about this mentor...  |
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| Files: |  UN_Vuk_Marjana_2016.pdf (973,16 KB)
MD5: 01D845C22C98929961D53E53CBE15E68
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| Language: | Slovenian |
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| Work type: | Undergraduate thesis |
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| Typology: | 2.11 - Undergraduate Thesis |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | V diplomskem delu bomo obravnavali Brocardovi točki trikotnika ABC in z njima povezane klasične ter novejše rezultate.
V prvem delu bomo dokazali njun obstoj v poljubnem trikotniku ABC in pokazali, da ju lahko skonstruiramo le s šestilom in ravnilom. Nato se bomo posvetili tako imenovanemu Brocardovemu kotu, ga izračunali in ugotovili, da je za obe Brocardovi točki enak.
Kasneje se bomo posvetili še razdalji med Brocardovima točkama in ugotovili, ali kdaj sovpadata. Preverili bomo tudi ali sta točki kdaj kolinearni s katerim izmed oglišč danega trikotnika. |
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| Keywords: | Brocardovi točki, Brocardov kot, geometrija trikotnika, sinusni izrek, kosinusni izrek, središčni in obodni kot, kolinearne točke. |
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| Place of publishing: | Maribor |
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| Publisher: | [M. Vuk] |
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| Year of publishing: | 2016 |
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| PID: | 20.500.12556/DKUM-61976 |
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| UDC: | 514.112.3(043.2) |
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| COBISS.SI-ID: | 22570504 |
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| NUK URN: | URN:SI:UM:DK:EHPIID65 |
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| Publication date in DKUM: | 23.09.2016 |
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| Views: | 1748 |
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| Downloads: | 175 |
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| Metadata: |    |
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| Categories: | FNM
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