Squaring the circle Compass-and-straightedge construction

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the famous of these problems, squaring circle, otherwise known quadrature of circle, involves constructing square same area given circle using straightedge , compass.


squaring circle has been proven impossible, involves generating transcendental number, is, √π. algebraic numbers can constructed ruler , compass alone, namely constructed integers finite sequence of operations of addition, subtraction, multiplication, division, , taking square roots. phrase squaring circle used mean doing impossible reason.


without constraint of requiring solution ruler , compass alone, problem solvable wide variety of geometric , algebraic means, , solved many times in antiquity.


a method comes close approximating quadrature of circle can achieved using kepler triangle.








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