Geometrija kugle i sfere

Korać, Ružica (2015) Geometrija kugle i sfere. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In the first chapter we analyze the globe and its parts, and their volume. In the second chapter we deal with the sphere and the surface area of the sphere and its parts, intersections between spheres and planes, and properties of circles that are obtained at intersections. We determine the sphere with four point that do not lie in the same plane. The third part talks about the spherical coordinates, where we introduce the Jacobian matrix and show how to find the volume of a globe and its parts using a spherical coordinate system. Lastly, the fourth chapter gives a brief overview of spherical geometry, where we meet spherical and polar triangles.

Item Type: Thesis (Diploma thesis)
Supervisor: Starčević, Maja
Date: 2015
Number of Pages: 60
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 21 Oct 2015 06:02
Last Modified: 21 Oct 2015 06:02
URI: http://digre.pmf.unizg.hr/id/eprint/4290

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