construction of PHI
To construct you start with a rectangular triangle with sides 1 and .
- Divide a square into two parts.
- Construct in one of the parts the diagonal and create a rectangular triangle with sides 1 and .
- The length of the diagonaal becomes .
- To get you have to add . You can do this by rotating the diagonal.
- The ratio between the long side and the short side is =
- The ratio betwee the shortside and the long side is = .