golden ratio golden boy In a regular pentagon the ratio of a diagonal to a side is the golden ratio, while intersecting diagonals section each other in the golden ratio. The golden ratio properties of a regular pentagon can be confirmed by applying Ptolemy's theorem to the quadrilateral formed by removing one of its vertices
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golden ratio We say two quantities are in the golden ratio if their ratio is equivalent to the ratio of the sum of the quantities to the larger of the two quantities. It is obtained by dividing a line into two parts such that the longer part divided by the smaller part is also equal to the whole length divided by the longer part: