Harriot, Thomas, Mss. 6785

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          <pb file="add_6785_f263v" o="263v" n="526"/>
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          <p xml:lang="lat">
            <s xml:space="preserve"> In hoc diagrammate sint omnia
              <lb/>
            descripta et intelligenda, ut in
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            In this diagram let everything be drawn and understood as in the preceding ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Dico quod: figura composita
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            ex conicis quo facta est
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            per reductionem polygoni:
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            Minor est, quadrupla superficie
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            maximi circuli in sphæra,
              <lb/>
            hoc est; circulo circa diametrum
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
            :
              <lb/>
            vel circa semdiametrum
              <math>
                <mstyle>
                  <mi>y</mi>
                  <mi>a</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            I say that: the figure composed from cones which is made by reduction of polygons
              <lb/>
            is less than four times the surface of teh greatest circle in the sphere, that is, the circle about the diameter
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
            of about the semidiameter
              <math>
                <mstyle>
                  <mi>y</mi>
                  <mi>a</mi>
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            . </s>
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          <p xml:lang="lat">
            <s xml:space="preserve"> Agatur recta:
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be drawn the line
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Ergo: […] = figuræ compositæ
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            ex
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore = the figures composed from cones. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Ergo, verum quod proponebatur
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              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore is is demonstrated that what was proposed is ]</s>
          </p>
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