Interesting Golden Ratio (e-bog) af Siu, Vincent
Siu, Vincent (forfatter)

Interesting Golden Ratio e-bog

50,64 DKK (inkl. moms 63,30 DKK)
This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial a...
E-bog 50,64 DKK
Forfattere Siu, Vincent (forfatter)
Udgivet 11 februar 2016
Længde 158 sider
Genrer PBM
Sprog English
Format epub
Beskyttelse LCP
ISBN 9781482855432
This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial assumptions, two values are found. It is proposed that the ratio can be obtained easily by applying the Pythagoras theorem. Common terms like golden triangle, golden rhombus, golden spiral and golden angle are deduced and explained. The connections between the golden ratio and Fibonacci numbers, continued fractions, fractals, chaos and tiling are also introduced. The conclusion is that it is mathematics and not the golden ratio that is fascinating.