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HUYGENS, Christiaan (1629-95). De circuli magnitudine inventa. Accedunt eiusdem problematum quorundam illustrium constructiones. Leiden: J & D. Elzevir, 1654. 4° (207 x 160mm). Woodcut device on title, numerous diagrams in the text (some spotting, mostly in the preliminaries). Contemporary (probably original) limp pre-binding boards, uncut.

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HUYGENS, Christiaan (1629-95). De circuli magnitudine inventa. Accedunt eiusdem problematum quorundam illustrium constructiones. Leiden: J & D. Elzevir, 1654. 4° (207 x 160mm). Woodcut device on title, numerous diagrams in the text (some spotting, mostly in the preliminaries). Contemporary (probably original) limp pre-binding boards, uncut.

FIRST EDITION of this remarkable work (Beckmann). 'In his De circuli magnitudine inventa he approximated the center of gravity of a segment of a parabola, and thus found an approximation of the quadrature; with this he was able to refine the inequalities between the area of the circle and those of the inscribed and circumscribed polygons used in the calculations of \Kp\k p. The same approximation with segments of the parabola, in the case of a hyperbola, yields a quick and simple method to calculate logarithms, a finding he explained before the Academy in 1666-1667, DSB. Beckmann, A History of \Kp\k; Willems 746.

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