Harriot, Thomas, Mss. 6789

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
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            <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/8.1.2_Ranges.pt">calculation of ranges and his search for the projection angle of maximum range</ref>
              in the context of the inclined-plane conception of projectile motion, see
                <ref id="schemmel_2008">(Schemmel 2008, Section 8.3)</ref>
              . </s>
              <s xml:space="preserve">]</s>
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              <s xml:space="preserve"> Harriot derives a proportion for calculating ranges that does not involve the time of flight of a projectile. </s>
              <s xml:space="preserve"> The calculations on
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/AYB35Z4D/&start=300&viewMode=image&pn=316">Add MS 6788, f. 158v</ref>
              suggested the proportion involving the time of flight to represent a detour. </s>
              <s xml:space="preserve"> As a matter of fact, however, using the new proportion the determination of ranges becomes more laborious. </s>
              <s xml:space="preserve"> Accordingly, on the following folios (
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/AYB35Z4D/&start=300&viewMode=image&pn=318">Add MS 6788, f. 159v</ref>
              ff.) Harriot returns to the method used on
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/AYB35Z4D/&start=300&viewMode=image&pn=316">Add MS 6788, f. 158v</ref>
              , see
                <ref id="schemmel_2008">(Schemmel 2008, 312-3)</ref>
              . </s>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve"> 7) </head>
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            <s xml:space="preserve"> […] </s>
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