Squaring the circle
Constructions using the golden ratio

An approximate construction by E. W. Hobson in 1913 is accurate to three decimal places. Hobson's construction corresponds to an approximate value of 6 5 ⋅ (1 + φ) = 3.141 640 …, {\displaystyle {\frac {6}{5}}\cdot \left(1+\varphi \right)=3.141\;{\color {red}640\;\ldots },} where φ {\displaystyle \varphi } is the golden ratio, φ = (1 + 5) / 2 {\displaystyle \varphi =(1+{\sqrt {5}})/2}.

The same approximate value appears in a 1991 construction by Robert Dixon. In 2022 Frédéric Beatrix presented a geometrographic construction in 13 steps.
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