Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

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            <p type="main">
              <s>
                <pb xlink:href="040/01/1008.jpg" pagenum="314"/>
              which likewiſe have for their Center that of the Earth, for that it
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              is not any way ſenſible.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              The
                <emph.end type="italics"/>
              WEDGE,
                <emph type="italics"/>
              Cuneus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>The Force of the Wedge A B C D is eaſily underſtood after
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              that which hath been ſpoken above of the Inclined Plane,
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              for the Force wherewith we ſtrike downwards acts as if it
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              were to make it move according to the Line B D; and the Wood,
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              or other thing and Body that it cleaveth, openeth not, or the
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              Weight that it raiſeth doth not riſe, ſave only according to the
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                <figure id="id.040.01.1008.1.jpg" xlink:href="040/01/1008/1.jpg" number="211"/>
                <lb/>
              Line A C, inſomuch that the Force,
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              wherewith one driveth or ſtriketh this
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              Wedge, ought to have the ſame Pro­
                <lb/>
              portion to the Reſiſtance of this
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              Wood or Weight, that A C hath to
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              A B. </s>
              <s>Or elſe again, to be exact, it
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              would be convenient that B D were
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              a part of a Circle, and A D and
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              C D two portions of Spirals that had the ſame Center with the
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              Earth, and that the Wedge were of a Matter ſo perfectly hard
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              and polite, and of ſo ſmall weight, as that any little Force would
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              ſuffice to move it.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              The
                <emph.end type="italics"/>
              CRANE,
                <emph type="italics"/>
              or the
                <emph.end type="italics"/>
              CAPSTEN,
                <lb/>
                <emph type="italics"/>
              Axis in Peritrochio.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>We ſee alſo very eaſily, that the Force wherewith the Wheel
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              A or Cogg B is turned, which make the Axis or Cylinder C
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              to move, about which a Chord is rolled, to which the
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              Weight D, which we would raiſe, is faſtned, ought to have the
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                <figure id="id.040.01.1008.2.jpg" xlink:href="040/01/1008/2.jpg" number="212"/>
                <lb/>
              ſame proportion to the ſaid
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              Weight, as the Circumference of
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              the Cylinder hath to the Cir­
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              cumference of a Circle which
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              that Force deſcribeth, or that the
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              Diameter of the one hath unto
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              the Diameter of the other; for
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              that the Circumferences have the
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              ſame proportion as the Diame­
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              ters: inſomuch that the Cylinder C, having no more but one foot
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              in Diameter, if the Wheel AB be ſix feet in its Diameter, and the
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              Weight D do weigh 600 pounds, it ſhall ſuffice that the Force in
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              B ſhall be capable to raiſe 100 pounds, and ſo of others. </s>
              <s>One may </s>
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