| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:Izrek o metulju
Authors:ID Zrinski, Peter (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf UN_Zrinski_Peter_2016.pdf (1,04 MB)
MD5: EE29E38B203178E0B07CB7DF9D9896D7
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu je obravnavan izrek o metulju. Zapisan je sam izrek ter različni dokazi, katere so v različnih obdobjih dokazali razni matematiki. Na začetku je predstavljen sam izrek in nekaj zgodovinskih zanimivosti. V nadaljevanju so predstavljeni uvodni pojmi in rezultati, ki jih bomo rabili za dokazovanje izreka o metulju skozi celotno diplomsko nalogo. Od drugega poglavja dalje bo podrobneje in s slikami predstavljenih osem dokazov izreka o metulju.
Keywords:Izrek o metulju, geometrija, središčni in obodni kot, Cevov izrek, trigonometrija, analitična geometrija, potenca točke glede na krožnico, krivulje drugega reda.
Place of publishing:Maribor
Publisher:[P. Zrinski]
Year of publishing:2016
PID:20.500.12556/DKUM-62096 New window
UDC:514.112(043.2)
COBISS.SI-ID:22585864 New window
NUK URN:URN:SI:UM:DK:UCCX9CQQ
Publication date in DKUM:27.09.2016
Views:2178
Downloads:165
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Secondary language

Language:English
Title:The butterfly theorem
Abstract:In the diploma paper we consider the butterfly theorem. The paper contains the theorem itself and different proofs, proven in different periods, by different mathematics. First we present the theorem and a couple of historical facts. Further there are ideas and results, which were used throughout the entire diploma paper to prove the butterfly theorem. From the second chapter on there are images and a detailed description of the eight proves of the butterfly theorem.
Keywords:Butterfly theorem, geometry, central and inscribed angle, Ceva's theorem, trigonometry, analytical geometry, power of a point with respect to a circle, plane curves of degree two.


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica