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master's thesis
Ravninske krivulje
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:799281
Škrivanek, Renata
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Škrivanek, R. (2015). Ravninske krivulje (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:799281

Škrivanek, Renata. "Ravninske krivulje." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:799281

Škrivanek, Renata. "Ravninske krivulje." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:799281

Škrivanek, R. (2015). 'Ravninske krivulje', Master's thesis, University of Zagreb, Faculty of Science, accessed 30 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:799281

Škrivanek R. Ravninske krivulje [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 30] Available at: https://urn.nsk.hr/urn:nbn:hr:217:799281

R. Škrivanek, "Ravninske krivulje", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:799281

Metadata
TitleRavninske krivulje
AuthorRenata Škrivanek
MentorMaja Starčević (mentor)
Committee memberMaja Starčević (predsjednik povjerenstva)
Committee memberVjeran Hari (član povjerenstva)
Committee memberDijana Ilišević (član povjerenstva)
Committee memberIgor Pažanin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U radu sam opisala neke od načina tvorba krivulja: – krivulje koje nastaju presjekom dane plohe ravninom; – krivulje koje nastaju kao geometrijsko mjesto točaka koje zadovoljavaju dano svojstvo; – krivulje koje nastaju kao putanja točke koja se giba po nekom određenom zakonu; – krivulje koje nastaju zadavanjem njenih diferencijalnih svojstava; – krivulje koje se zadaju u analitičkom obliku. Opisala sam i svojstva promatranih krivulja. Ta svojstva se očituju u mehanizmima, detaljima strojeva, građevnim konstrukcijama, u optici, slikarstvu, arhitekturi, u crtanju, u geometrijskim konstrukcijama,... Neke krivulje se realiziraju u prirodi. U radu sam krivulje i njihova svojstva proučavala strogo matematički, bez njihove primjene. Promatranim krivuljama sam napisala nešto o njihovoj povijesti. Pri pisanju ovog rada, svojstva krivulja su me često fascinirala i još jače pobudila zanimanje za upoznavanjem krivulja.
Abstract (english)
In this thesis, some of curve formations are described: – curves which occur by intersecting the given surface by the plane; – curves which occur as a geometric locus of points satisfying the given feature; – curves which occur as the path of a point that moves according to a certain definite principle; – curves which occur by setting their differential features; – curves which are set in an analytical form. The observed curve features are described as well. These features manifest in mechanisms, device details, building constructions, optics, painting, architecture, drawing, geometric constructions. Some curves accomplish in nature. Curves and their features are studied in this thesis strictly mathematically without applications. I wrote about the history of the observed curves, as well. While doing this thesis, I was fascinated by curve features so my interest in learning about them aroused greatly.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:799281
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 on2019-02-13 12:56:37