Harriot, Thomas, Mss. 6785

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          <pb file="add_6785_f276" o="276" n="551"/>
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> At the bottom of the page is a reference to Commandino's
                <emph style="it">Euclidis elementorum XV</emph>
                <ref id="euclid_1572"> (Euclid </ref>
              . However the relevant passage is to be found on page 201v (not 102), as part of a Scholium following Book XI, Proposition 23.
                <ref id="euclid_1572" target="http://www.e-rara.ch/zut/content/pageview/3682585"> (Euclid 1572, </ref>
              . Commandino's statement is:
                <lb/>
              </s>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Ex planis quotlibet datis angulis, quorum uno reliqui sint maiores quomodocumque sumpti, solidum angulum constituere, oportet autem datos angulos quatuor rectis esse minores.</s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> From any number of given plane angles, given one of which, the rest are greater, however taken, to make a solid angle it is necessary that the given angles are less than four right angles.</s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <div type="page_commentary" level="0" n="0">
            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> Euclid's
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookXI/propXI23.html"/>
              is: </s>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookXI/propXI23.html"/>
                To construct a solid angle out of three plane angles two of which, taken together in any manner, are greater than the reamining one: thus the three angles must be less than four right angles. </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> 1) De quadrilatero,
            <lb/>
          et cæteris
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On quadrilaterals and other ]</head>
          <p>
            <s xml:space="preserve"/>
            <lb/>
            <s xml:space="preserve"/>
            <lb/>
            <s xml:space="preserve" xml:lang="lat">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            triangular ]</s>
            <lb/>
            <s xml:space="preserve"> or 2 in 3; 2 in 4; 2 in 5; 2 in 6 ; 2 in 7 </s>
            <lb/>
            <s xml:space="preserve"> or the diagonalls </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> solidus angulus ex
              <lb/>
            quotlibet datis non
              <lb/>
            potest constitui sine
              <lb/>
            hoc
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            It is not possible to construct a solid angle from any given number [of plane angles] without this problem.</s>
            <lb/>
            <s xml:space="preserve"> vide. Euclid. lib. 11
              <lb/>
            pag. 102.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            See Euclid Book XI, page 202 of ]</s>
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