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 283
the equilateral Hyperbola abed-, and, fuppolingO A,A a, and AD, each equal to Unity; let it be required to findthe Area comprehended by the Curve, the AlTymptote, andthe Ordinates A a and D^. Here, if only three Ordinates be ufed, then a being = i,b = .6666, c =.5, by the Property of the Curve, we… … A K« which Value is fomething nearer than the former, the trueArea being .69314, &c. EXAMPLE 11. The fame being fuppofed as in the preceding Example, tisrequired to find the length of the Arch a d. Let R P (^ ) be any Ordinate to the Hyperbola, O R {x) its correfponding Abfciffa, and R ^= x j…
Celestial mechanics · Calculus · Astronomy
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