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The Proofs of Geometrical Statements by Means of Complex Numbers
Anja Corn (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group
Cite this document

Corn, A. (2017). Dokazi geometrijskih tvrdnji pomoću kompleksnih brojeva (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:216031

Corn, Anja. "Dokazi geometrijskih tvrdnji pomoću kompleksnih brojeva." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:216031

Corn, Anja. "Dokazi geometrijskih tvrdnji pomoću kompleksnih brojeva." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:216031

Corn, A. (2017). 'Dokazi geometrijskih tvrdnji pomoću kompleksnih brojeva', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 November 2019, https://urn.nsk.hr/urn:nbn:hr:126:216031

Corn A. Dokazi geometrijskih tvrdnji pomoću kompleksnih brojeva [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2019 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:216031

A. Corn, "Dokazi geometrijskih tvrdnji pomoću kompleksnih brojeva", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:216031

Metadata
TitleDokazi geometrijskih tvrdnji pomoću kompleksnih brojeva
Title (english)The Proofs of Geometrical Statements by Means of Complex Numbers
AuthorAnja Corn
MentorZdenka Kolar-Begović (mentor)
Committee memberZdenka Kolar-Begović (predsjednik povjerenstva)
Committee memberMihaela Ribičić Penava (član povjerenstva)
Committee memberTomislav Marošević (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Applied Mathematics Research Group)
Osijek
Defense date and country2017-07-07, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom radu su dani dokazi nekih vrlo poznatih teorema iz geometrije korištenjem kompleksnih brojeva. Najprije su sustavno razmatrani osnovni pojmovi i relacije vezane uz kompleksne broje koje se koriste u dokazima tvrdnji. Izvedene su jednadžbe geometrijskih figura koje se spominju u tvrdnjama. Primjenom kompleksnih brojeva dokazani su Eulerov, Feuerbachov, Morleyev, Ptolomej-Eulerov, Simsonov te Napoleonov i van Aubelov teorem.
Abstract (english)
This paper will give proofs of some very well-known geometry theorems by using complex numbers. Firstly, we will contemplate some basic concepts and relations related to complex numbers that are used in statement proofs. We will give some equations of geometric figures which are mentioned in these statements. By using complex numbers, we will prove Euler’s, Feuerbach’s, Morley’s, Ptolemy-Euler’s, Simson’s, Napoleon’s and van Aubel’s theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:216031
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-11-10 08:41:06