On the Quadrature of the Circle

absurdity of supposing angles area of circle area of square circle X cles cumference decimal denominators describe the square describing the right-angled diagram diameter of circle diameter to circumference direct your attention elsewhere directed attention equal to three equal to twice exact number exactly equal extreme terms facts fallacy fractions be reduced G P R S gentlemen given circumference given numbers given quantity HIKL hypotheneuse incommensurable quantities inscribe the circle inscribed circle latter Let the value mathematicians mean proportional middle term obtain a value obtain the fractions one-fourth perimeter is equal produce r² X radius of circle ratio of diameter right-angled triangle scribed side H G square CDEF square circumscribed square G P R S square GPRS square inscribe taken to find theory third side three and one-eighth triangle CBD triangle H triangle HGI true value