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 |< < (327) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f327" o="327" n="653"/>
          <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 rough version of this page see Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=660&viewMode=image&pn=665"> f. </ref>
              . </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> 1.) </head>
          <head xml:space="preserve" xml:lang="lat"> propositio </head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Si in centro circuli sit linea acta ad quodlibet punctum extra circulum
              <lb/>
            pro prima trium proportionalium: secunda sive media proportionalium
              <lb/>
            sit eiusdem lineæ pars quæ est semidiametro: tertia quæ minima
              <lb/>
            proportionalium sit etiam eiusdem pars a centro versus peripheriam, quæ
              <lb/>
            necessario terminabitur aliquod puncto intra circulum: deinde si a quodlibet
              <lb/>
            puncto in peripheria agantur duæ lineæ prima ad punctum extra
              <lb/>
            circulum, qui terminus est primæ proportionalis; altera ad punctum
              <lb/>
            intra cirulum, qui terminus est tertiæ proportionalis:
              <lb/>
            Tum duæ illæ lineæ eandem habebunt rationem quæ est
              <lb/>
            trium proportionalium:
              <lb/>
            Et a quovis puncto quod non est in peripheria, duæ lineæ
              <lb/>
            ita actæ, non habebunt illam
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            If in the centre of a circle there is constructed a line to any point outside the circle for the first of three proportionals, let the second or mean proportional be part of the same line, which is the semidiameter, and let the third or least proportional be also part of the same line from the centre to the circumference, which necessarily ends at some 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 proportinonal, and the other to the point inside the circle, which is the end of the third proportional.
              <lb/>
            Then those two lines will have the same ratio as the three porportionals.
              <lb/>
            And from any point which is not on the circumference, two lines taken in this way will not have that ]</s>
          </p>
        </div>
      </text>
    </echo>
Impressum