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

Table of figures

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[Figure 81]
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[Figure 82]
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            <p type="main">
              <s>
                <pb xlink:href="040/01/834.jpg" pagenum="141"/>
              the Perpendicular A B at Right angles, which A B muſt hang two
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              Inches, or thereabouts, from the Wall: Then transferring the
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              ſtring A B with the Ball into C, let go the ſaid Ball; which you will
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                <figure id="id.040.01.834.1.jpg" xlink:href="040/01/834/1.jpg" number="82"/>
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              ſee firſt to deſcend
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              deſcribing C B D, and
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              to paſs ſo far beyond
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              the Term B, that run­
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              ning along the Arch
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              B D it will riſe almoſt
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              as high as the deſigned
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              Parallel C D, wanting
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              but a very ſmall mat­
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              ter of reaching to it,
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              the preciſe arrival thi­
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              ther being denied it by
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              the Impediment of the Air, and of the Thread. </s>
              <s>From which we
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              may truly conclude, that the
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              Impetus
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              acquired in the point B by
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              the Ball in its deſcent along the Arch C B, was ſo much as ſufficed
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              to carry it upwards along ſuch another Arch B D unto the ſame
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              height: having made, and often reiterated this Experiment, let
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              us drive into the Wall, along which the Perpendicular A B paſſeth,
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              another Nail, as in E or in F, which is to ſtand out five or ſix In­
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              ches; and this to the end that the thread A B, returning as before
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              to carry back the Ball C along the Arch C B, when it is come to
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              B, the Thread ſtopping at the Nail E may be conſtrained to move
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              along the Circumference B G, deſcribed about the Center E: by
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              which we ſhall ſee what that ſame
                <emph type="italics"/>
              Impetus
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              is able to do, which be­
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              fore, being conceived in the ſame term B, carried the ſame Move­
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              able along the Arch B D unto the height of the Horizontal Line
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              C D. Now, Sirs, you ſhall with delight ſee the Ball carried unto
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              the Horizontal Line in the Point G; and the ſame will happen if
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              the ſtop be placed lower, as in F, where the Ball would deſcribe
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              the Arch B I, evermore terminating its aſcent exactly in the Line
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              C D: and in caſe the Check were ſo low that the overplus of the
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              thread beneath it cannot reach to the height of C D, (which would
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              happen if it were nearer to the point B than to the interſection of
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              A B with the Horizontal Line C D) then the thread would
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              whirle and twine about the Nail. </s>
              <s>This experiment leaveth no
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              place for our doubting of the truth of the Suppoſition: for the
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              two Arches C B and D B being equall, and ſcituate alike, the
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              acquiſt of Moment made along the Deſcent in the Arch C B, is
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              the ſame with that made along the Deſcent in the Arch D B. </s>
              <s>But
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              the Moment acquired in
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              B,
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              along the Arch C
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              B,
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              is able to carry the
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              ſame Moveable upwards along the Arch
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              B
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              D: Therefore the Mo­
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              ment acquired in the Deſcent D
                <emph type="italics"/>
              B
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              is equall to that which driveth </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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