Harriot, Thomas, Mss. 6789

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> This page is part of Harriot's
                <ref target="http://echo.mpiwg-berlin.mpg.de/content/scientific_revolution/harriot/maps/9.2.3_colour.pt"> experiments on refractive colours</ref>
              . By a method of successive approximations, Harriot searches for the secondary cardinal for his glass prism, that is, the refractive index governing the secondary ray (
                <math>
                  <mstyle>
                    <mi>b</mi>
                    <mi>e</mi>
                  </mstyle>
                </math>
              in the diagram on
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2F0VGM2B80&start=390&viewMode=image&pn=367"> f. 184</ref>
              ), which, according to Harriot's theory of colour, is responsible for the appearance of colours. (As usual, the sets of four numbers are solutions of proportions: the first is to the second as the third is to the fourth, and one element is unknown, in these examples the fourth.) </s>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve" xml:lang="lat"> E. pro 2aria refractione effectiva colorum.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          For the secondary refraction, which generates colours. ] </head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Incidens 51° adfractus positus 29° 30′ 10000000 υ 39° 19′ cardinalis.
              <lb/>
            ponatur 39°
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Angle of incidence 51°. Assumed (first) refraction 29° 30′. 10000000. Sine 39° 19′ cardinal. Taken as 39° 20′. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> incidens vitreus
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Internally refracted ray incident on glass ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 48° 49′ nimium. debuit
              <emph style="super">esse</emph>
            47° 56′
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            48° 49′ too much. It ought to be about 47° 56′. ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">2. ponamus igitur nouum cardinalem
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            And so we assume a new, larger cardinal. ]
              <lb/>
            </s>
            <s xml:space="preserve">nimium adhuc.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Still too much. ] </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 3. Faciamus igitur nouum cardinalem paulo minorem.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            And so let us make a new cardinal, a little smaller. ] </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 4. Capiamus minorem
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let us take a smaller cardinal. ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Cardinalis bonus in G
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Good cardinal, on sheet 'G'. ] </s>
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