Kotirana projekcija

master's thesis

• Author: Marija Beljo
• Mentor: Ema Jurkin (mentor)
• Mentor: Sanja Varošanec (mentor)
• Committee member: Ema Jurkin (predsjednik povjerenstva)
• Committee member: Sanja Varošanec (član povjerenstva)
• Committee member: Sonja Štimac (član povjerenstva)
• Committee member: Tomislav Pejković (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2019-03-01, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Nacrtna geometrija je metoda proučavanja trodimenzionalne geometrije s pomoću dvodimenzionalnih slika. Ona omogućuje uvid u strukturu i metrička svojstva prostornih objekata, postupaka i principa. Projekcijom nekog dvodimenzionalnog ili trodimenzionalnog objekta na ravninu dobiva se njegova ravninska slika. Kotirana projekcija metoda je projiciranja u kojoj je svaka točka prikazana ortogonalnom projekcijom na neku ravninu i kotom, tj. brojem ili podatkom koji nam govori koliko je točka udaljena od te ravnine. Kroz rad prikazuju se osnovni geometrijski elementi, tj. točke, pravci i ravnine u kotiranoj projekciji te su analizirani, i primjerom potkrijepljeni, njihovi međusobni odnosi. Također, konstruirani su ravninski likovi i geometrijska tijela. Osvrtom na topografske plohe i konstruiranjem nasipa i usjeka uz horizontalnu cestu, u radu se dotiče jedan mali dio primjene kotirane projekcije u svakodnevnom životu.

Abstract (english)

Descriptive geometry is a method of studying three-dimensional geometry through twodimensional images. It provides insight into structure and metrical properties of spatial objects, processes and principles. The plane image of two or three-dimensional object on the plane is its projection on the plane. Elevated projection is a method of projection in which each point is represented by its orthogonal projection on the projection plane and the number that represents the distance between point and the projection plane. Through this paper basic geometrical elements are represented that is elevated projection of a point, a straight line and a plane, and their mutual relationships are analyzed and supported by examples. Also, plane figures and solid shapes are constructed. With reference to the topographic surfaces and the construction of the mound and slope along the horizontal road, the paper deals with a small part of the appliance of the elevated projection in everyday life.

• Keywords: nacrtna geometrija; ravninska slika; kotirana projekcija
• Keywords (english): descriptive geometry; plane image; elevated projection
• Language: croatian
• URN:NBN: urn:nbn:hr:217:221396
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-07-10 10:14:49