Final Answer:
False. Leibniz did not use "flowing quantities" to find the area of curved figures. He developed integral calculus, focusing on the concept of the integral as a limit of finite sums.
Step-by-step explanation:
False. Gottfried Wilhelm Leibniz did not use the concept of "flowing quantities" and their rates of flow to find the area of curved figures. Instead, it was Sir Isaac Newton who developed the calculus of fluxions (a precursor to modern calculus) independently around the same time as Leibniz. Both Newton and Leibniz made significant contributions to the development of calculus, and there was a historical dispute over who had priority in its invention.
Leibniz introduced the integral calculus and developed the concept of the integral as a limit of finite sums. He used the notation of ∫ (an elongated 'S' representing the Latin word "summa") to denote integration. Leibniz's approach to calculus involved finding the antiderivative or the reverse process of differentiation. He did not specifically use the notion of flowing quantities or rates of flow to determine the area under curves.
The idea of using derivatives to find rates of change and integrals to find accumulated quantities became fundamental in calculus, but this was a shared development with contributions from both Newton and Leibniz, and it was not centered on the concept of "flowing quantities" as described in the question.