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Title:
Štirikotniki z enako dolgima diagonalama
Authors:
ID
Vavdi, Marija
(
Author
)
ID
Hvala, Bojan
(
Mentor
)
More about this mentor...
Files:
MAG_Vavdi_Marija_2015.pdf
(1,47 MB)
MD5: 854DA295228AE090D35F89398E19ED2E
Language:
Slovenian
Work type:
Master's thesis/paper
Typology:
2.09 - Master's Thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Diagonali v konveksnem štirikotniku sta lahko enako dolgi. V magistrskem delu bomo predstavili nekaj lastnosti konveksnih štirikotnikov z enako dolgima diagonalama. Izpeljali bomo obrazec za izračun ploščine štirikotnika z enako dolgima diagonalama in obrazec za izračun dolžine diagonale v štirikotniku z enako dolgima diagonalama. Posvetili se bomo tudi štirikotnikom z enako dolgima in pravokotnima diagonalama.
Keywords:
konveksni štirikotnik
,
enako dolgi diagonali
,
pravokotni diagonali
,
ploščina
,
Varignonov paralelogram
,
diagonali Varignonovega paralelograma
Place of publishing:
Maribor
Publisher:
[M. Vavdi]
Year of publishing:
2015
PID:
20.500.12556/DKUM-48519
UDC:
514.112.4(043.2)
COBISS.SI-ID:
21548552
NUK URN:
URN:SI:UM:DK:OROLUPES
Publication date in DKUM:
13.10.2015
Views:
1739
Downloads:
140
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
Equidiagonal quadrilaterals
Abstract:
The diagonals of convex quadrilateral may be the same length. In this thesis we present some properties of convex quadrilaterals with equal length diagonals. We will derive a formula for the area of equidiagonal quadrilateral and a formula for the length of diagonal in equidiagonal quadrilateral. We will also discuss quadrilaterals with congruent and perpendicular diagonals.
Keywords:
convex quadrilateral
,
congruent diagonals
,
perpendicular diagonals
,
area
,
Varignon parallelogram
,
diagonals of Varignon parallelogram
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