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Ortooptične krivulje : diplomsko delo
ID Orešnik, Mihela (Author), ID Razpet, Marko (Mentor) More about this mentor... This link opens in a new window

URLURL - Presentation file, Visit http://pefprints.pef.uni-lj.si/id/eprint/3969 This link opens in a new window

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.

Language:Slovenian
Keywords:krožnica, elipsa, hiperbola, parabola, kardioida, logaritemska spirala, pravi kot, enačba premice, smerni koeficient, tangenta, linearna ogrinjača, adicijski izrek
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:PEF - Faculty of Education
Publisher:[M. Orešnik]
Year:2016
Number of pages:VIII, 73 str.
PID:20.500.12556/RUL-86604 This link opens in a new window
UDC:51(043.2)
COBISS.SI-ID:11254857 This link opens in a new window
Publication date in RUL:19.09.2017
Views:1256
Downloads:218
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Secondary language

Language:English
Title:Orthoptic curves
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.

Keywords:mathematics, matematika

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