Katakavstike

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2012
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL PEF - Pedagoška fakulteta
Založnik:	[N. Andrejčič]
UDK:	514.7(043.2)
COBISS:	9465417
Št. ogledov:	568
Št. prenosov:	177
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Catacaustics
Sekundarni povzetek:	The thesis presents catacaustics, plane curves that are produced by the reflection of rays of light in a curved mirror. We have different catacaustics for differently shaped curved mirrors. They can be described mathematically as the envelope of all rays that reflect from a given curve. The mathematical derivation of equations is given. The equations of catacaustics for different plane curves (circle, parabola, exponential curve, cycloid) are written in parametric form. The graphical representation is made with mathematical program GeoGebra.
Sekundarne ključne besede:	mathematics;matematika;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo
Komentar na gradivo:	Univ. Ljubljana, Pedagoška fak., Matematika in tehnika
Strani:	X, 69 str.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Catacaustics
Ključne besede (ePrints):	odboj svetlobe
Ključne besede (ePrints, sekundarni jezik):	reflection
Povzetek (ePrints):	V diplomskem delu so predstavljene katakavstike, ravninske krivulje, ki nastanejo z odbojem snopa svetlobnih žarkov od ukrivljenega zrcala. Pri različno oblikovanih ukrivljenih zrcalih nastanejo različne katakavstike. Katakavstike so obravnavane matematično, kot ogrinjače družine premic odbitih žarkov. Izračunane so parametrične enačbe za nekaj primerov katakavstik, ki nastanejo pri odboju od znanih krivulj (krožnica, parabola, naravna eksponentna krivulja, cikloida). Le-te so tudi narisane v programu GeoGebra.
Povzetek (ePrints, sekundarni jezik):	The thesis presents catacaustics, plane curves that are produced by the reflection of rays of light in a curved mirror. We have different catacaustics for differently shaped curved mirrors. They can be described mathematically as the envelope of all rays that reflect from a given curve. The mathematical derivation of equations is given. The equations of catacaustics for different plane curves (circle, parabola, exponential curve, cycloid) are written in parametric form. The graphical representation is made with mathematical program GeoGebra.
Ključne besede (ePrints, sekundarni jezik):	reflection
ID:	8310927