Quote: an accelerating object travels half the distance as an object in uniform motion at the final velocity; probably the first mathematical integration applied to mechanics

Quotation Skeleton

[Salviati:] Now let us complete the [rectangle AMBC for the triangle ABC] and extend to its side BM not only the parallels … all the points on the side AC [to the diagonal AB]. And just as BC … [represents] the highest degree of speed acquired by … [and] the whole surface of the triangle was … AC, [the rectangle represents the sum total of the moving body under uniform velocity]. … it is indeed reasonable and probable that … [the moving body] would pass with uniform motion during the … [translator's endnote for page 228] The admirable discussion which ensues is, according … mechanics (though geometrical integrations as such had been …   Google-1   Google-2

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Topic: science as mathematics (26 items)