magistrsko delo
Abstract
V magistrskem delu bomo predstavili definicijo in osnovne lastnosti štirikotnika, ki ni romb, ki mu pravimo antiromb. To je štirikotnik očrtan krožnici s središčem v težišču štirikotnika. Potem bomo 'odrezali' trikotnik ABC s premico, da bomo dobili antiromb. Pokazali bomo, da obstajajo tri premice, ki skupaj s stranicami trikotnika ABC, tvorijo šestkotnik, očrtan včrtani krožnici trikotnika ABC.
Keywords
magistrska dela;antirombi;tangentni štirikotniki;težišče štirikotnika;perspektivna trikotnika;baricentrične koordinate;
Data
Language: |
Slovenian |
Year of publishing: |
2017 |
Typology: |
2.09 - Master's Thesis |
Organization: |
UM FNM - Faculty of Natural Sciences and Mathematics |
Publisher: |
[Z. Kaiser] |
UDC: |
514.112(043.2) |
COBISS: |
23423240
|
Views: |
1007 |
Downloads: |
96 |
Average score: |
0 (0 votes) |
Metadata: |
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Other data
Secondary language: |
English |
Secondary title: |
Antirhombi |
Secondary abstract: |
In masters thesis we will give the definition and some properties of the non-rhombus quadrilateral called antirhombus. That is quadrilateral, circumscribed around a circle with center the centroid of the quadrilateral. Then we will cut a triangle ABC with a line to form an antirhombus. We will also prove that there are three such lines forming with the sides of triangle ABC an hexagon circumscribed around the incircle of triangle ABC. |
Secondary keywords: |
master theses;antirhombi;circumscribed quadrilaterals;centroid of quadrilateral;perspective triangels;barycentric coordinates; |
URN: |
URN:SI:UM: |
Type (COBISS): |
Master's thesis/paper |
Thesis comment: |
Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo |
Pages: |
51 f., [2] f. pril. |
ID: |
10864637 |