Harriot, Thomas, Mss. 6784

List of thumbnails

< >
611
611 (306) 		612
612 (306v)
613
613 (307) 		614
614 (307v)
615
615 (308) 		616
616 (308v)
617
617 (309) 		618
618 (309v)
619
619 (310) 		620
620 (310v)
< >
page |< < (333) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f333" o="333" n="665"/>
          <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"> For a fair copy of this page see Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=650&viewMode=image&pn=651"> f. </ref>
              . </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <p xml:lang="lat">
            <s xml:space="preserve"> Si a centro circuli sit linea
              <emph style="super">recta</emph>
            ducta
              <emph style="super">quælibet</emph>
            punctum extra circulum
              <lb/>
            prima trium proportionalium: secundum
              <emph style="st">sit</emph>
              <emph style="super">sive media</emph>
            proportionalium sit eiusdem
              <lb/>
            lineæ pars quæ est semidiameter: tertia quæ minima proportionalium
              <lb/>
            sit eiusdem pars a
              <emph style="super">versus circumferentiam quæ necessario terminabitur [???]</emph>
              <emph style="st">ad</emph>
            punctam intra
              <emph style="super">deinde</emph>
            si a qualibet
              <lb/>
            puncto in periferia agantur duæ lineæ, una
              <emph style="super">prima</emph>
            ad punctum extra circulum
              <lb/>
            (qui terminus est primæ proportionalis:) altera ad punctum intra circulum,
              <lb/>
            qui terminus
              <emph style="super">est</emph>
            tertiæ proportionalis,) Tum duæ illæ lineæ eandem habent
              <lb/>
            rationem quæ est trium proportionalium.
              <lb/>
            Et a quovis puncto quæ non est in periferia
              <lb/>
            duæ lineæ ita actæ, non habent eandem
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            If from the centre of a circle let a straight line be drawn to any point outside the circle as the first of three proportinals. Let the second or mean proportional be part of the same line, which is the semidiamater. The third or least proportional is part of the same line from the centre towards the circumference, which necessarily will terminate at a point inside the circle. Then from any point on the circumference there are constructed two lines, the first to the point outside the circle (which is the end of the first proportional), the other to the point inside the circle (which is the end of the third proportional). Then those two lines have the same ratio as the three proportionals.
              <lb/>
            And from any point which is not on the circumference, two lines constructed in this way do not have the same ratio.</s>
          </p>
        </div>
      </text>
    </echo>
Impressum