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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 348

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 348
ent TIi\ estimated on the axis oflogarithms. We have found, for the sub-tangent, on theaxis of X (Art. 45), -^=%■■ BBC. VII.] TRANSCENDENTAL CUKVKS. 143 and by simply changing the axis, we have, TR = -j^x = M (Art. 106); hence, ax ^ The sub-tangent^ taken on the axis of logarithms, is equalto the… … 108. If a circle KFG be rolled along a straight line,AL, any point of the circumference, as P, will describea curve, which is called a cycloid. The circle NPG iscalled the generating circle, and 1\ the generating point. Since each succeeding revolution of the generating circlewill describe an equal…

Geometry, Analytic · Calculus

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