Page 372 - Srednje skole - radovi

SLIĈNOSTI I RAZLIKE IZMEĐU EUKLIDOVE GEOMETRIJE I SFERNE
GEOMETRIJE
Autor: Marko Ljubisavljević III razred, ETŠ „Nikola Tesla“, Beograd
Mentor: prof. Violeta Komnenović, dipl.matematiĉar ETŠ „Nikola Tesla“,
Beograd
REZIME

Cilj rada je da ispita sliĉnosti i razlike izmeĊu Euklidove geometrije i sferne

geometrije i da pokaţe zavisnost izmeĊu njih.

Euklidova geometrija je nastala jos u Staroj Grĉkoj, ali je i dan danas u upotrebi.

Otkrivanjem da je planeta Zemlja okrugla, nastaje nova geometrija, koja je nazvana

sferna geometrija. Danas ima široku primenu u svetu, jer je bazirana na sferi. Najĉešće se

koristi u navigaciji, astronomiji, geodeziji, kartografiji, moreplovstvu. Zainteresovala me
ova tema i ove geometrije bas zbog toga što su meĊusobno povezane, jer sam ih ja

smatrao kao dva „suprotna sveta“. Euklidova geometrija govori o pravim linijama, tj.

pravim pravama, dok sferna govori o zakrivljenim pravama koje obrazuju krug.

SUMMARY

The aim of this project examine similarities and differences between Euclidean

geometry and spherical geometry and show dependence between them.

Euclidean geometry has became in ancient Greece, we are still using it today. The

discovery that the planet Earth is round gave birth to a new geometry, called spherical
geometry. Today it has very wide application because it is based on a sphere. It is used in

navigation, astronomy, geodesy, cartography, seamanship. This topic and these two

geometries made me interested because they are interconnected and because I thought of

them as two opposite worlds. Euclid's geometry tells about straight lines, while spherical

tells about curved ones that make up a circle.

Kljucne reci: Euklidova geometrija, Sferna geometrija. Euklidovi postulati.