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

Table of figures

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/909.jpg" pagenum="216"/>
              would not ſuffer it to gain coming from never ſo great an height:
                <lb/>
              for in caſe the Velocity impreſſed upon it by the Fire ſhould not
                <lb/>
              exceed that which it might acquire of its ſelf deſcending naturally,
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              the battery downwards ought rather to be more valid than leſs.
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              </s>
              <s>I have not made ſuch an Experiment, but incline to think that a
                <lb/>
              Musket or Cannon Bullet falling from never ſo great an height,
                <lb/>
              will not make that percuſſion which it maketh in a Wall at a Di­
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              ſtance of a few yards, that is of ſo few that the ſhort perforation,
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              or, if you will, Sciſſure to be made in the Air ſufficeth not to ob­
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              viate the exceſs of the ſupernatural impetuoſity impreſſed on it by
                <lb/>
              the Fire. </s>
              <s>This exceſſive
                <emph type="italics"/>
              Impetus
                <emph.end type="italics"/>
              of ſuch like forced ſhots may
                <lb/>
              cauſe ſome deformity in the Line of the Projection; making
                <lb/>
              the beginning of the Parabola leſs inclined or curved than the end.
                <lb/>
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ut this can be but of little or no prejudice to our Author in
                <lb/>
              practical Operations: amongſt the which the principal is the com­
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              poſition of a Table for the Ranges, or Flights, which containeth
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              the diſtances of the Falls of
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              alls ſhot according to all Elevations.
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              </s>
              <s>And becauſe theſe kinds of Projections are made with Mortar­
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              Pieces, and with no great charge; in theſe the
                <emph type="italics"/>
              Impetus
                <emph.end type="italics"/>
              not being
                <lb/>
              ſupernatural, the Ranges deſcribe their Lines very exactly.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1098"/>
              * Or Way.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1099"/>
              * Or battered.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ut for the preſent let us proceed forwards in the Treatiſe,
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              where the Author deſireth to lead us to the Contemplation and
                <lb/>
              Inveſtigation of the
                <emph type="italics"/>
              Impetus
                <emph.end type="italics"/>
              of the Moveable whilſt it moveth
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              with a Motion compounded of two. </s>
              <s>And firſt of that compoun­
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              ded of two Equable Motions; the one Horizontal, and the other
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              Perpendicular.</s>
            </p>
            <p type="head">
              <s>THEOR. II. PROP. II.</s>
            </p>
            <p type="main">
              <s>If any Moveable be moved with a twofold Equa­
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              ble Motion, that is, Horizontal and Perpen­
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              dicular, the
                <emph type="italics"/>
              Impetus
                <emph.end type="italics"/>
              or Moment of the Lation
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              compounded of both the Motions ſhall be
                <emph type="italics"/>
              po­
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              tentia
                <emph.end type="italics"/>
              equal to both the Moments of the firſt
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              Motions.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              For let any Moveable be moved Equably with a double Lation,
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              and let the Mutations of the Perpendicular anſwer to the Space
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              A B, and let B C anſwer to the Horizontal Lation paſſed in
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              the ſame Time. </s>
              <s>Foraſmuch therefore as the Spa-
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.040.01.909.1.jpg" xlink:href="040/01/909/1.jpg" number="147"/>
                <lb/>
                <emph type="italics"/>
              ces A B, and B C are paſſed by the Equable Mo­
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              tion in the ſame Time, their Moments ſhall be to
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              cach other as the ſaid A B and B C. </s>
              <s>But the
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              Moveable which is moved according to theſe two Mutations ſhall de-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
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