Triumphal arch and Golden Ratio

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# Triumphal arch and Golden Ratio - PowerPoint PPT Presentation

Triumphal arch and Golden Ratio. Describe the Triumphal arch. It was decided to build after Napoleon won the victory in the battle of Austerlitz Competed in three decades from 1806.

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### Triumphal arch and Golden Ratio

Describe the Triumphal arch
• It was decided to build after Napoleon won the victory in the battle of Austerlitz
• Competed in three decades from 1806
The four sides of the door is decorated with embossed sculpture about the Revolution and glory of imperial governmentDescribe the Triumphal arch
The Triumphal arch is golden ratio?
• 12 roads are the shape of radiation around a triumphal arch
• Is the Triumphal Arch beautiful with the golden ratio?
The golden ratio in The Triumphal arch
• The Triumphal Arch is that width is about 45m, length is about 50m the ratio of width and length is 9:10
• The golden ratio is 1:1.6(0.6:1) so the Triumphal Arch is not the golden ratio
• But it is the partial golden ratio

x

1-x

What is the golden ratio?
• a segment AB(=1) is divided by point Pa segment AP= x, a segment BP=1-x
• Solve x which satisfy 1-x : x = x : 1

i.e. x2 = 1(1-x) is a segment AB is divided by golden ratio with P

• Therefore 0.6:1 or 1:1.6 is the golden ratio

B

A

P