Harriot, Thomas, Harriot papers, vol. VIa: Projectiles, centre of gravity, reflexion of bodies [HMC 241 VIa]

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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> The page is part of Harriot’s
                <ref target="http://echo.mpiwg-berlin.mpg.de/content/scientific_revolution/harriot/maps/8.1.3_Comparison.pt">notes on empirical ranges</ref>
              , see
                <ref id="schemmel_2008">(Schemmel 2008, Section 8.4)</ref>
              . </s>
              <s xml:space="preserve"> On this page Harriot compares his
                <ref target="http://echo.mpiwg-berlin.mpg.de/content/scientific_revolution/harriot/maps/8.1.2_Ranges.pt">theoretically calculated ranges</ref>
              with the rescaled values he extracted from
                <ref id="bourne_1587">(Bourne 1587, 27)</ref>
              and
                <ref id="capobianco_1598">(Capobionaco 1598, 34r, v)</ref>
              . </s>
              <s xml:space="preserve"> On the basis of the deviations, he determines the variation of the initial velocity with the elevation that has to be assumed in order to attain agreement between theoretical and empirical ranges. </s>
              <s xml:space="preserve"> (In the upper table he does so for all of Bourne's ranges, in the lower table he does so for one Capobianco's ranges.) </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve"> 12.) For finding the velocityes of Bournes rates. </head>
          <p>
            <s xml:space="preserve"> In the same randon, as
              <emph style="st">dia</emph>
            the diagoniall shorter, hath
              <lb/>
            to his longer so hath the square of the first velocity to the square [of]
              <lb/>
            the second. </s>
          </p>
          <p>
            <s xml:space="preserve"> And as the sayd diagonialls so are the rates of the
              <lb/>
            horizontall ranges. </s>
          </p>
          <p>
            <s xml:space="preserve"> Therefore I worke as followeth. </s>
          </p>
          <p>
            <s xml:space="preserve"> ranges. Bourne. ranges. squares of velocityes. squares of velocityes. rootes
              <lb/>
            […] </s>
          </p>
          <head xml:space="preserve"> For finding the velocityes
            <lb/>
          of Capo Bianco. </head>
          <p>
            <s xml:space="preserve"> ranges of aeq[ual] veloc[ity] ranges of C[apo] Bian[co] squares of aeq[ual] veloc[ities] squares of C[apo] Bi[anco's] veloc[ities] rootes [of the] velocityes rates
              <lb/>
            […] </s>
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Impressum