prikaz prve stranice dokumenta Peti Euklidov postulat u raznim geometrijama
  Download
PDF 1.59 MB
master's thesis
Peti Euklidov postulat u raznim geometrijama
2024. urn:nbn:hr:166:510655
Stančić, Petra
University of Split
Faculty of Science

Cite this document

Stančić, P. (2024). Peti Euklidov postulat u raznim geometrijama (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:510655

Stančić, Petra. "Peti Euklidov postulat u raznim geometrijama." Master's thesis, University of Split, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:166:510655

Stančić, Petra. "Peti Euklidov postulat u raznim geometrijama." Master's thesis, University of Split, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:166:510655

Stančić, P. (2024). 'Peti Euklidov postulat u raznim geometrijama', Master's thesis, University of Split, Faculty of Science, accessed 19 February 2025, https://urn.nsk.hr/urn:nbn:hr:166:510655

Stančić P. Peti Euklidov postulat u raznim geometrijama [Master's thesis]. Split: University of Split, Faculty of Science; 2024 [cited 2025 February 19] Available at: https://urn.nsk.hr/urn:nbn:hr:166:510655

P. Stančić, "Peti Euklidov postulat u raznim geometrijama", Master's thesis, University of Split, Faculty of Science, Split, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:166:510655

Please login to the repository to save this object to your list.
Metadata
TitlePeti Euklidov postulat u raznim geometrijama
Title (english)Euclid's fifth postulate in various geometries
AuthorPetra Stančić
MentorJurica Perić (mentor)
Committee memberJurica Perić (predsjednik povjerenstva)
Committee memberMilica Klaričić Bakula (član povjerenstva)
Committee memberDomagoj Jelić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
Split
Defense date and country2024-12-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Peti Euklidov postulat govori o tome koliko paralelnih pravaca prolazi točkom van zadanog pravca. U Euklidskoj geometriji postoji točno jedan takav pravac, u hiperboličkoj geometriji postoji beskonačno mnogo takvih pravaca, dok se u eliptičkoj geometriji svi pravci sijeku pa paralelni pravci uopće ne postoje u toj geometriji. Cilj ovog rada je proučiti osnovna svojstva ovih triju geometrija, interpretirati Peti postulat u njima te navesti posljedice koje su nastale zbog promjene Petog postulata.
Abstract (english)
The Fifth Euclidean Postulate states how many parallel lines pass through a point outside a given line. In Euclidean geometry, there is one such line; in hyperbolic geometry, there are infinitely many such lines; whereas, in elliptic geometry, all lines intersect, so parallel lines do not exist at all in that geometry. The objective of this thesis is to describe the fundamental properties of these three geometries, interpret the Fifth Postulate within them, and show the consequences that have arisen due to the modification of the Fifth Postulate.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:510655
Study programmeTitle: Mathematics; specializations in: specialization in Pure Mathematics, specialization in Computer Science, specialization in Education, specialization in Statistics and Computer Science
Course: specialization in Statistics and Computer Science
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni/a magistar/magistra matematike (sveučilišni/a magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2025-01-17 12:58:05