Izrek o metulju in porizem o tetivnih štirikotnikih : magistrsko delo

Tomažič, Marina (author), Cencelj, Matija (mentor), Starčič, Tadej (comentor)

Predstavimo kratek pregled geometrije štirikotnikov vključno z navzkrižnimi štirikotniki s posebnim poudarkom na tetivnih štirikotnikih in izrekih o metulju. Glavni cilj dela je predstavitev dokaza Ivana Izmestieva za porizem o tetivnih štirikotnikih, ki ga je prvi dokazal Jerzy Kocik.

• Language: Slovenian
• Keywords: tetivni štirikotnik, navzkrižni štirikotnik, izrek o metulju, posplošitve izreka o metulju, porizem
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: PEF - Faculty of Education
• Publisher: [M. Tomažič]
• Year: 2018
• Number of pages: 53 str.
• PID: 20.500.12556/RUL-104350
• UDC: 514(043.2)
• COBISS.SI-ID: 12152649
• Publication date in RUL: 09.10.2018

Secondary language

• Language: English
• Title: Butterfly theorem and porism on cyclic quadrilaterals

Abstract

We give a short overview of the geometry of quadrilaterals including complex quadrilaterals with special emphasis on cyclic quadrilaterals and butterfly theorems. The main aim is to study the proof by Ivan Izmestiev of a porism for cyclic quadrilaterals that was first proved by Jerzy Kocik.

• Keywords: geometry, geometrija