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Title:PRODUKTI IN KONJUGACIJE V GEOMETRIJI TRIKOTNIKA
Authors:ID Šket, Maja (Author)
ID Hvala, Bojan (Mentor) More about this mentor... New window
Files:.pdf UNI_Sket_Maja_2011.pdf (2,20 MB)
MD5: DCB536F590004AD4D3044D52545BC478
PID: 20.500.12556/dkum/3bb72214-11ce-4696-ba2e-40914d22e24c
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu definiramo Yiujev produkt točk P in Q. Na podoben način uvedemo t.i. Parryjev produkt. Opišemo tudi geometrijsko konstrukcijo, s katero pri danih točkah P in Q konstruiramo ustrezni produkt. V nadaljevanju pri dani točki P v ravnini definiramo transformacijo ravnine, ki jo imenujemo konjugacija s polom P. Nato opišemo tri konstrukcije: konstrukcijo P-konjugacije poljubne točke pri danem paru konjugiranih točk, konstrukcijo pola P-konjugacije pri danem paru konjugiranih točk in konstrukcijo P-konjugacije poljubne točke pri danem polu. Za izpeljavo rezultatov uporabljamo trilinearne in baricentrične koordinate, ki so predstavljene v začetnih poglavjih.
Keywords:Yiujev produkt, Parryjev produkt, konjugacije, trilinearne koordinate, baricentrične koordinate
Place of publishing:Maribor
Publisher:[M. Šket]
Year of publishing:2011
PID:20.500.12556/DKUM-17746 New window
UDC:51(043.2)
COBISS.SI-ID:18236936 New window
NUK URN:URN:SI:UM:DK:GMATQSYQ
Publication date in DKUM:24.03.2011
Views:2894
Downloads:380
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:PRODUCTS AND CONJUGATIONS IN TRIANGLE GEOMETRY
Abstract:In this graduate thesis we define the Yiu product of points P and Q. In a similar way we introduce the so-called Parry product. We also present a construction of both products. At the given point P in the plane we define a transformation of the plane called conjugation with pole P. Later we give three constructions: the construction of P-conjugation of an arbitrary point by a given pair of conjugated points, the construction of pole P by a given pair of conjugated points and the construction of P-conjugation of an arbitrary point by a given pole P. For the derivation of results we use trilinear and barycentric coordinates that are presented in the initial chapters.
Keywords:Yiu product, Parry product, conjugations, trilinear coordinates, barycentric coordinates


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