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

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            <p type="main">
              <s>
                <pb xlink:href="040/01/189.jpg" pagenum="171"/>
              ſay, but do not well know how to expreſs my ſelf.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>And I alſo perceive that you underſtand the buſineſs,
                <lb/>
              but that you have not the proper terms, wherewith to expreſs the
                <lb/>
              ſame. </s>
              <s>Now theſe I can eaſily teach you; teach you, that is, as
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              to the words, but not as to the truths, which are things. </s>
              <s>And that
                <lb/>
              you may plainly ſee that you know the thing I ask you, and onely
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              want language to expreſs it, tell me, when you ſhoot a bullet out
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              of a gun, towards what part is it, that its acquired
                <emph type="italics"/>
              impetus
                <emph.end type="italics"/>
                <lb/>
              eth it?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>Its acquired
                <emph type="italics"/>
              impetus
                <emph.end type="italics"/>
              carrieth it in a right line, which
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              continueth the rectitude of the barrel, that is, which inclineth
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              ther to the right hand nor to the left, nor upwards not
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              wards.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Which in ſhort is aſmuch as to ſay, it maketh no angle
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              with the line of ſtreight motion made by the ſling.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>So I would have ſaid.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>If then the line of the projects motion be to continue
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              without making an angle upon the circular line deſcribed by it,
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              whilſt it was with the projicient; and if from this circular motion it
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              ought to paſs to the right motion, what ought this right line to be?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>It muſt needs be that which toucheth the circle in the
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              point of ſeparation, for that all others, in my opinion, being
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              longed would interſect the circumference, and by that means make
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              ſome angle therewith.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>You have argued very well, and ſhewn your ſelf half a
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              Geometrician. </s>
              <s>Keep in mind therefore, that your true opinion
                <lb/>
              is expreſt in theſe words, namely, That the project acquireth an
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                <emph type="italics"/>
              impetus
                <emph.end type="italics"/>
              of moving by the Tangent, the arch deſcribed by the
                <lb/>
              motion of the projicient, in the point of the ſaid projects
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              tion from the projicient.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I underſtand you very well, and this is that which I
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              would ſay.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Of a right line which toucheth a circle, which of its
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              points is the neareſt to the centre of that circle?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>That of the contact without doubt: for that is in the
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              circumference of a circle, and the reſt without: and the points of
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              the circumference are all equidiſtant from the centre.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Therefore a moveable departing from the contact, and
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              moving by the ſtreight Tangent, goeth continually farther and
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              farther from the contact, and alſo from the centre of the circle.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>It doth ſo doubtleſs.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Now if you have kept in mind the propoſitions, which
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              you have told me, lay them together, and tell me what you gather
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              from them.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I think I am not ſo forgetful, but that I do remember </s>
            </p>
          </chap>
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