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master's thesis
Konkurentni pravci
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:561220
Gračan, Maria
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Gračan, M. (2017). Konkurentni pravci (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:561220

Gračan, Maria. "Konkurentni pravci." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:561220

Gračan, Maria. "Konkurentni pravci." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:561220

Gračan, M. (2017). 'Konkurentni pravci', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:561220

Gračan M. Konkurentni pravci [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:561220

M. Gračan, "Konkurentni pravci", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:561220

Metadata
TitleKonkurentni pravci
AuthorMaria Gračan
MentorMaja Starčević (mentor)
Committee memberMaja Starčević (predsjednik povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
Committee memberDijana Ilišević (član povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2017-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Konkurentni pravci su pravci koji se sijeku u istoj točki. U ovom radu opisano je sedam metoda dokazivanja konkurentnosti pravaca koje smo zatim primijenili na opravdavanje postojanja raznih točaka vezanih za trokut, četverokut, kružnicu, šesterokut koje su nastale presijecanjem tri ili više pravaca. Riješeno je i nekoliko primjera zadataka s natjecanja iz matematike provedenih u Republici Hrvatskoj u kojima je bilo potrebno dokazati konkurentnost pravaca.
Abstract (english)
Concurrent lines are lines that intersect at the same point. Seven methods of proving the concurrency of lines have been described in this thesis, which we then applied to justify the existence of various points related to triangle, circle, quadrilateral, hexagon, which are result of intersecting three or more lines. A couple of examples from math competitions conducted in the Republic of Croatia have been solved in which it was necessary to prove the concurrency of lines.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:561220
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-01-26 12:59:25