## Squaring the Circle a History of the Problem |

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Squaring the Circle; A History of the Problem Hobson Ernest William 1856-1933 No preview available - 2013 |

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algebraic equation algebraic numbers already determined analytical angles Arithmetic axiom of Archimedes calculated century chord circle squarer circumference circumscribed coefficients are rational compass connection continued fractions convergent coordinates corresponding Crelle's Journal curve denote determinable by Euclidean diameter different from zero E. W. HOBSON employed equal equation with rational equivalent established Euclid Euclidean construction Euclidean determination Euclidean Geometry Euclidean problem Euler expression finite number formula fundamental gave given Greek Mathematicians hexagon ideal problem inscribed polygon integer investigation length limits logarithms lunulae magnitude Mathematicians means method of Archimedes method of exhaustions mode notation obtained perimeter places of decimals postulations problem of squaring proof proved quadrable quadrature radius rational coefficients rational functions rational number rectification regarded regular polygon relation result segment semi-circle sequence shewed shewn sides Snellius solution square roots squaring the circle straight line symmetrical function tangent theorem transcendence transcendental number triangle Wallis