Ortooptične krivulje

diplomsko delo

Mihela Orešnik (Author), Marko Razpet (Mentor)

Abstract

V diplomskem delu bomo iskali ortooptične krivulje za izbrane krivulje. Ortooptična krivulja dane krivulje je množica točk, skozi katere obstajata dve pravokotno se sekajoči tangenti na to krivuljo. Skozi delo se bomo seznanili o lastnostih danih krivulj in njihovih ortooptičnih krivuljah ter računsko preučili problem na konkretnih primerih. V osnovni šoli lahko raziskovani problem prikažemo s praktičnim delom v povezavi s tehničnim poukom, kjer bi učenci z izdelanimi sredilnimi kotniki iz jeklene pločevine drseli po krivuljah in ob tem označevali pot vrha pravega kota.

Keywords

krožnica;elipsa;hiperbola;parabola;kardioida;logaritemska spirala;pravi kot;enačba premice;smerni koeficient;tangenta;linearna ogrinjača;adicijski izrek;

Data

Language:	Slovenian
Year of publishing:	2016
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[M. Orešnik]
UDC:	51(043.2)
COBISS:	11254857
Views:	708
Downloads:	199
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Orthoptic curves
Secondary abstract:	The thesis is focused to search for orthoptic curves. Orthoptic curve is set of points for which two tangents of a given curve meet at a right angle. Through the thesis we will learn about the characteristic of the chosen curves and their orthoptic curves and assess the problem on few cases. In primary school, the problem can be illustrated by practical work in conjunction with the technical classes where the students produce wooden models and slide with right angle of the steel model along curves and in this way marking the top of the right angle.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Ljubljani, Pedagoška fak., Matematika in tehnika
Pages:	VIII, 73 str.
ID:	9199843