A History of the Conceptions of Limits And Fluxions in Great Britain : From Newton to Woodhouse

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The Second Edition. With an Appendix, in Answer to the Reasons for not replying to Mr. Walton's Full Answer By J. Walton Dublin: Printed by S. Powell, for William Smith at the Hercules, Bookseller : in Dame-Street, 1735.
88 LIMITS AND FLUXIONS [a point's] Velocity will exist in a Point, and successively will exist in every Point of Space through which the Point moves " (p. 37). Berkeley thinks that ' ' from the generated Velocity not being the same in any two different Points of the described S
...pace it will not follow that Velocity can exist in a Point of Space. But in this he is mistaken. For the continual Action of a Moving Force necessarily preserves a continual Velocity ; and if the generated Velocity be not the same in any two different Points of the described Space, a Velocity must of Consequence exist in every Point of that Space " (p. 38). This account of velocity "is agreeable " to Sir Isaac Newton's Notion of Velocity ; who constantly excludes described Space from his Idea of that Term." Motion beingj measured by QV, ' ' the continual translation of a Body therefore into a new Place is, .

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