Harriot, Thomas, Mss. 6789

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      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="0055.jpg" o="28r" n="55"/>
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> This is the first of a sequence of paginated pages on which Harriot explores what may be called the inclined-plane conception of projectile motion, see
                <ref id="schemmel_2008">(Schemmel 2008, Chapter 8)</ref>
              . According to this conception, projectile motion is composed of a decelerated motion in the oblique direction of the shot, and an accelerated motion of vertical fall. The dependence of the oblique motion on the angle of projection corresponds to that of a motion along an inclined plane on the angle of inclination. </s>
              <s xml:space="preserve">]</s>
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            <p>
              <s xml:space="preserve"> More specifically, the page is part of Harriot’s
                <ref target="http://echo.mpiwg-berlin.mpg.de/content/scientific_revolution/harriot/harriot-bl/maps/8.1.1_Compound.pt">introduction of compound diagrams of motion</ref>
              , a group of folios on which Harriot eventually succeeds in deriving, by means of such diagrams, a general expression for the time of flight of a projectile
                <ref id="schemmel_2008">(Schemmel 2008, Section 8.2)</ref>
              . </s>
              <s xml:space="preserve">]</s>
            </p>
            <p>
              <s xml:space="preserve"> On this particular page, Harriot demonstrates that the spaces traversed by two motions along planes of different inclination, ending at the same degree of velocity, as well as the times needed to traverse them, stand in inverse proportion to the degrees of the two motions taken at some arbitrary point in time. </s>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve"> 1.) For oblique motions. </head>
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