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Quote#Wisdom

Z and x being two flowing Quantities (whose Relation... may be…

Quote byBrook Taylor · 1685–1732

Commonly attributed — not confirmed in an authoritative edition. Cited on Wikiquote to: An Attempt towards the Improvement of the Method of approximating, in the Extraction of the Roots of Equations in Numbers (1717).

English (original)

z and x being two flowing Quantities (whose Relation... may be exprest by any Equation...) by [the aforesaid] Corollary, while z by flowing uniformly becomes z+v, x will becomex + \frac {\dot{x}}{1 \cdot \dot{z}}v + \frac {\ddot{x}}{1 \cdot 2 \cdot \dot{z}^2}v^2 +... etc. or

— Brook Taylor

42

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