Summary
Samenvatting Profielwerkstuk over de gulde snede
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Profielwerkstuk geschreven voor het vak wiskunde B over de gulde snede en de toepassingen van de gulde snede. Ik heb hier een 8,2 voor gekregen.
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By: paulbezemerpb • 1 year ago
By: noeshinkhalil • 1 year ago
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fabienneelizabeth
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1 Inleiding...............................................................................................................................................3
2 Wat is de Gulden Snede?.....................................................................................................................4
2.1 Getallen........................................................................................................................................4
2.1.1 Natuurlijke getallen (N)..........................................................................................................4
2.1.2 Gehele getallen (Z).................................................................................................................4
2.1.3 Rationele getallen (Q)............................................................................................................4
2.1.4 Irrationale getallen (Q1 ).........................................................................................................4
2.1.5 Reële getallen (R)...................................................................................................................4
2.2 Abc-Formule.................................................................................................................................5
2.3 Kettingbreuk.................................................................................................................................5
2.4 Hoe wordt de gulden snede gevormd?.........................................................................................6
2.5 Vijfhoek.........................................................................................................................................6
2.6 De gouden hoek............................................................................................................................7
2.7 Klassieke constructie....................................................................................................................8
3 Wat is de geschiedenis van de Gulden Snede?....................................................................................8
3.1 Egyptenaren en Grieken...............................................................................................................9
3.2 De Fibonaccireeks.........................................................................................................................9
3.3 De Divina Proportione..................................................................................................................9
3.4 1800 tot nu...................................................................................................................................9
4 Wat is de Rij van Fibonacci?...............................................................................................................10
4.1 Leonardo Pisano-Fibonacci.........................................................................................................10
4.2 Fibonaccireeks............................................................................................................................11
4.3 Formule......................................................................................................................................12
4.4 Het konijnen probleem...............................................................................................................12
4.5 De spiraal van Fibonacci.............................................................................................................13
4.6 De driehoek van pascal...............................................................................................................13
5 Wat is het verband tussen de gulden snede en de Fibonacci-getallen?............................................14
6 Waar vinden we toepassingen van de rij van Fibonacci en de Gulden Snede terug?........................16
6.1 Kunst...........................................................................................................................................16
6.1.1 Leonardo da Vinci................................................................................................................16
6.1.2 Michelangelo.......................................................................................................................18
6.1.3 Salvador Dali........................................................................................................................18
6.1.4 Raphael................................................................................................................................18
6.2 Architectuur................................................................................................................................18
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