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master's thesis
Površina
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:333282
Krišto, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Krišto, I. (2019). Površina (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:333282

Krišto, Ivana. "Površina." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:333282

Krišto, Ivana. "Površina." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:333282

Krišto, I. (2019). 'Površina', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:333282

Krišto I. Površina [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:333282

I. Krišto, "Površina", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:333282

Metadata
TitlePovršina
AuthorIvana Krišto
MentorMea Bombardelli (mentor)
Committee memberMea Bombardelli (predsjednik povjerenstva)
Committee memberBoris Širola (član povjerenstva)
Committee memberBoris Muha (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Površina je pojam za koji čujemo već od malih nogu i kroz osnovnu školu učimo računati površinu nekog lika bez razmišljanja o tome što je ona zapravo. Ukratko, pridružujemo joj neki broj, a potom uspoređujemo različite likove na temelju tog broja. U ovom radu najprije definiramo trokut i poligon pritom navodeći njihova svojstva. Do pojma površine dolazimo preko pojma jednakosastavljivosti poligona i poligona jednakog sadržaja. U trećem poglavlju definiramo funkciju površine pomoću koje računamo površinu poligona te dokazujemo neka njena svojstva. Naposljetku, dokazujemo Pitagorin poučak pomoću gore definiranih pojmova.
Abstract (english)
From an early age, we have heard about the notion of area. Throughout elementary school, we are taught to calculate an area of a geometric figure without thinking what it really represents. In short, we associate a number to an area and then compare various figures based on that number. In this thesis, we first define what is a triangle and a polygon presenting their respective properties as we do so. Area of a figure (polygon) is explained through notions of equidecomposable figures and figures of equal content. In the third chapter we define area function which is used to calculate area of a given polygon and prove some of its properties. Finally, we prove the Pythagorean theorem using aforementioned notions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:333282
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 on2020-02-06 11:39:37