Essays on several curious and useful subjects, in speculative and mix'd mathematicks : illustrated by a variety of examples (1740)
Simpson, Thomas, 1710-1761, Adams, John, 1735-1826, former owner. BRL, John Adams Library (Boston Public Library) BRL · London : Printed by H. Woodfall, jun. for J. Nourse ... · leaf 277
l Parts, at the PointsB, C, and D, and B /^, C ^r, D ^, ^c.parallel to the Axis AO, producedto meet the conjugate Axisof the Hyperbola in the PointsP, Q2_R, S. Therefore, by theProperty of the Curve, AE^ (400) -ES^-—O^^ (500) : : OP- (25) :Yb-—Oa : : OQ^(ioo) : qV— O^-:: OR-(225):R^-—O^-;whence… … EXAMPLE IIL Suppofe EGDHLE to be a Solid, generated by the Ro-tation of any Conic-Se6tion about its Axis D A, viz. either aCone, Sphere, Spheroid, or Conoid ; and let the Content ofany Fruftum EFGHKLE of that Solid be required. Here if p be put for the Area of a Circle, whofe Diameteris Unity, and…
Celestial mechanics · Calculus · Astronomy
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