Harriot, Thomas, Mss. 6785

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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> The reference on this page is to Archimedes,
                <emph style="it">Liber de conoidibus et sphaeroidibus</emph>
                <ref id="archimedes_1558" target=""> (Archimedes 1558) </ref>
              </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat">
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> 1.) Gradus
              <emph style="st">circuli est</emph>
            periphæriæ est,
              <math>
                <mstyle>
                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                    </mrow>
                    <mrow>
                      <mn>3</mn>
                      <mn>6</mn>
                      <mn>0</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            totus
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A degree of a circumference is
              <math>
                <mstyle>
                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                    </mrow>
                    <mrow>
                      <mn>3</mn>
                      <mn>6</mn>
                      <mn>0</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            of the total circumference. </s>
            <lb/>
            <s xml:space="preserve"> 2.) Gradus anguli sphærici est
              <math>
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                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                    </mrow>
                    <mrow>
                      <mn>3</mn>
                      <mn>6</mn>
                      <mn>0</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            quatuor rectorum
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A degree of a spherical angle is
              <math>
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                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                    </mrow>
                    <mrow>
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                      <mn>6</mn>
                      <mn>0</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            of four spherical right angles. </s>
            <lb/>
            <s xml:space="preserve"> 3.) Gradus superficiei sphæricæ est
              <math>
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                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                    </mrow>
                    <mrow>
                      <mn>3</mn>
                      <mn>6</mn>
                      <mn>0</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            totius superficiei sphæricæ,
              <lb/>
            et est figura biangularis, comprehensa
              <emph style="super">semi-</emph>
            periphæris ex
              <emph style="st">circuli</emph>
            maximis
              <lb/>
            cuius uterque angulus est gradus
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A degree of a spherical surface is
              <math>
                <mstyle>
                  <mfrac>
                    <mrow>
                      <mn>1</mn>
                    </mrow>
                    <mrow>
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                      <mn>6</mn>
                      <mn>0</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            of the total spherical surface, and is a biangular figure, contained by two maximum semi-circumferences, in which either angle is the degree of the angle. </s>
            <lb/>
            <s xml:space="preserve"> 4.) Biangulum [???] est figura biangularis comprehensa duabus
              <lb/>
            semi periphæris
              <emph style="super">ex</emph>
            maximis. Et dicitur dari quando unus angulorum
              <lb/>
            datur. Quoniam ut talis angulus ad 360 ita superficies bianguli
              <lb/>
            ad totam superficiei
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A biangle [???] is a biangular figure contained by two maximum semi-circumferences. And it is said to be given when one of its angles is given. Because as such an angle is to 360 degrees, so is the surface of the biangulum to the total surface of the sphere. ]</s>
            <lb/>
            <s xml:space="preserve"> 5.) Ex demonstratis Archimedæis, superficies sphæræ est æqualis illa
              <lb/>
            circulo plano cuius semidiameter est sphæræ diameter &
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            From the demonstration of Archimedes, that the surface of a sphere is equal to that of a plane circle whose semidiameter is the diameter of the sphere.</s>
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