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Abu Kamil algebra algorithm Almagest angle Apollonius Archimedes argument arithmetic Aryabhata astronomical axis Babylonian basic Book Brahmagupta calculate century b.c.e. Chinese chord circle coefficients consider construction cube cubic equations curve definition derived Descartes determine diameter difference differential Diophantus discussion distance divided Elements ellipse equal Euclid Euclid's Elements Euler example Fermat FIGURE fluxions formula fractions function geometric given number gives Greek mathematics Hipparchus hyperbola Ibid ibn al-Haytham ideas Indian infinite integral Islamic Islamic mathematics Jordanus known Leibniz length line segment logarithm magnitudes mathematicians method modern notation motion multiplied Newton notes Pappus parabola perpendicular plane positive postulate problem procedure proof proportion proposition proved Ptolemy Ptolemy's Pythagorean Qin Jiushao quadratic equations quantities radius ratio rectangle represent result rule shows side sine solution solve sphere square root straight line subtract tangent theorem translation treatise triangle trigonometry various velocity