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undergraduate thesis
Involuta i evoluta krivulje
Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. urn:nbn:hr:126:643219
Osmanović, Tea
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Osmanović, T. (2024). Involuta i evoluta krivulje (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:643219

Osmanović, Tea. "Involuta i evoluta krivulje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:643219

Osmanović, Tea. "Involuta i evoluta krivulje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:643219

Osmanović, T. (2024). 'Involuta i evoluta krivulje', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 12 July 2024, https://urn.nsk.hr/urn:nbn:hr:126:643219

Osmanović T. Involuta i evoluta krivulje [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 July 12] Available at: https://urn.nsk.hr/urn:nbn:hr:126:643219

T. Osmanović, "Involuta i evoluta krivulje", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:643219

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Metadata
TitleInvoluta i evoluta krivulje
Title (english)Involute and Evolute of a Curve
AuthorTea Osmanović
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-07-03, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom završnom radu proučit ćemo involutu i evolutu krivulja.Evoluta krivulje je krivulja koja se sastoji od središta zakrivljenosti svih točaka zadane krivulje, dok se involutom (ili evolventom) krivulje zove ona krivulja za koju je polazna krivulja njezina evoluta. Takve krivulje imaju i svoju primjenu, prvenstveno pri izradi zupčanika.U radu su navedeni primjeri krivulja i njihovih involuta s grafičkim prikazima izradenim pomoću programa Wolfram Mathematica.
Abstract (english)
In this paper we study the theory of involutes and evolutes of curves. The evolute of a curve is a curve consisting of the center of curvature of all points of a given curve, while the involute of a curve is the curve for which the starting curve is its evolute. Such curves also have their application, primarily in the manufacture of gears. In paper are listed some examples of curves and their involutes with graphic representations that were created using the Wolfram Mathematica program.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:643219
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of School of Applied Mathematics and Computer Science
Created on2024-07-10 08:43:25