As π is transcendental, the quadrature of a circle - a classical problem in geometry - is impossible.
Source: tatoeba (547069)
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As π is transcendental, the quadrature of a circle - a classical problem in geometry - is impossible.
Source: tatoeba (547069)
The story that Anaxagoras wrote a treatise on perspective as applied to scene-painting is most improbable; and the statement that he composed a mathematical work dealing with the quadrature of the circle is due to misunderstanding of an expression in Plutarch.
Source: tatoeba (11869658)
1976, D. T. Whiteside (editor), The Mathematical Papers of Isaac Newton, Volume 7: 1691-1695, Cambridge University Press, page 3, Craige was then on the point of publishing a short tract wherein he expounded a systematic (if far from general) 'Method of determining the quadrature of figures comprehended by straight lines and curves', there gathering a variety of techniques of rational algebraic quadrature and arc-rectification […] .
Source: wiktionary
1992, Bernard Bielecki, SINC Quadratures for Cauchy Principal Value Integrals, T.O. Espelid, Alan Genz, Springer, Numerical Integration: Recent Developments, Software and Applications, page 81, Three types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫_ΓF(t)dt/(t-x), x∈Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order O(e), where N is the number of quadrature nodes and c is a constant independent of N.
Source: wiktionary
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