To cut^{1} a given finite straight line in extreme and mean ratio. * Let $AB$ be the given finite straight line. * So it is required to cut the straight line $AB$ in extreme and mean ratio.
It is possible to cut a given segment at a point being its inverse golden ratio.
Proofs: 1
This method of cutting a straight line is sometimes called the Golden Section" - see " [Prop. 2.11] (translator's note). ↩