Galilei, Galileo, Mechanics, 1665
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              hitherto diſcourſed upon it, have ſaid any thing that hits the mark;
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              which we may take for a certain Sign and Argument of the Obſcu­
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              rity and difficulty of this
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              S
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              peculation. </s>
              <s>For
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              Ariſtotle,
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              or others,
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              who would reduce the cauſe of this admirable Effect unto the
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              length of the
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              Manubrium,
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              or Handle, may, in my judgement, be
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              made to ſee their miſtake in the effect of thoſe Inſtruments, which
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              having no Handle, yet percuſs, either in falling from on high
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              downwards, or by being thrown with Velocity ſidewaies. </s>
              <s>There­
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              fore it is requiſite, that we have recourſe to ſome other Principle, if
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              we would find out the truth of this buſineſs; the cauſe of which,
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              although it be of its own nature ſomewhat obſcure, and of diffi­
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              cult conſideration, yet nevertheleſs we will attempt with the grea­
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              teſt perſpicuity poſſible to render it clear and obvious, ſhewing, for
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              a cloſe of all, that the Principle and Original of this Effect is deri­
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              ved from no other Fountain than this, from which the reaſons of all
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              other Mechanick Effects do proceed: and this we will do, by ſetting
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              before your eyes that very thing which is ſeen to befall in every
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              other Mechanick Operation,
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              ſcilicet,
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              That the Force, the Reſiſtance,
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              and the Space by which the Motion is made, do go alternately
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              with ſuch proportion operating, and with ſuch a rate anſwering to
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              each other, that a Reſiſtance, equal to the Force, ſhall be moved by
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              the ſaid Force along an equal Space, with Velocity equal to that
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              with which it is moved. </s>
              <s>Likewiſe, That a Force that is leſs by half
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              than a Reſiſtance ſhall be able to move it, ſo that it be moved
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              with double Velocity, or, if you will, for a Diſtance twice as great
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              as that which the moved Reſiſtance ſhall paſs: and, in a word, it
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              hath been ſeen in all the other Inſtruments, that any, never ſo great,
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              Reſiſtance may be moved by every ſmall Force given, provided,
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              that the Space, along which the Reſiſtance ſhall move, have the
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              ſame proportion that is found to be betwixt the ſaid great Reſi­
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              ſtance and the Force: and that this is according to the neceſſary
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              Order and Conſtitution of Nature: So that inverting the Diſcourſe,
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              and Arguing the contrary way, what wonder ſhall it be, if that
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              Power that ſhall move a ſmall Reſiſtance a great way, ſhall carry
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              one an hundred times bigger an hundredth part of that Diſtance?
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              <s>Certainly none at all: nay, it would be abſurd, yea, impoſſible
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              that it ſhould be otherwiſe. </s>
              <s>Let us therefore conſider, what the
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              Reſiſtance of the Beetle unto Motion may be in that point where
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              it is to ſtrike, and how far, if it do not ſtrike, it would be carryed
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              by the received Force beyond that point: and again, what Reſi­
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              ſtance to Motion there is in him who ſtriketh, and how much by
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              that ſame Percuſſion he is moved: and, having found that this
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              great Reſiſtance goeth forwards by a percuſſion ſo much leſs than
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              the Beetle driven by the
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              Impetus
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              of him that moveth it would do,
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              by how much that ſame great Reſiſtance is greater than that of </s>
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