Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

List of thumbnails

< >
1
1 		2
2
3
3 		4
4
5
5 		6
6
7
7 ((iii)) 		8
8 ((iv))
9
9 ((v)) 		10
10 ((vi))
< >
page |< < ((iv)) of 161 > >|
    <echo version="1.0RC">
      <text xml:lang="en" type="free">
        <div xml:id="echoid-div4" type="section" level="1" n="4">
          <p>
            <s xml:id="echoid-s17" xml:space="preserve">
              <pb o="(iv)" file="0008" n="8"/>
            parable Mathematicians of our own Country, Dr. </s>
            <s xml:id="echoid-s18" xml:space="preserve">Halley
              <lb/>
            and Dr. </s>
            <s xml:id="echoid-s19" xml:space="preserve">Simſon, to whom the World is very much obliged
              <lb/>
            for their Geometrical Labours. </s>
            <s xml:id="echoid-s20" xml:space="preserve">The firſt of theſe, from an
              <lb/>
            Arabic MS in the Bodleian Library, has reſtored the Books
              <lb/>
              <emph style="sc">De</emph>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Rationis</emph>
            ; </s>
            <s xml:id="echoid-s21" xml:space="preserve">and from his own Sagacity ſup-
              <lb/>
            plied thoſe
              <emph style="sc">De</emph>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Spatii</emph>
            : </s>
            <s xml:id="echoid-s22" xml:space="preserve">and the other has with
              <lb/>
            equal pains and ingenuity completed thoſe
              <emph style="sc">De</emph>
              <emph style="sc">Loc
                <unsure/>
              is</emph>
              <emph style="sc">Planis</emph>
            .</s>
            <s xml:id="echoid-s23" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24" xml:space="preserve">As to the Treatiſe
              <emph style="sc">De</emph>
              <emph style="sc">Tactionibus</emph>
            , which I now give
              <lb/>
            the Engliſh Reader, it has been reſtored by Vieta under the
              <lb/>
            Title of Apollonius Gallus, and his Deficiencies ſupplied by
              <lb/>
            Marinus Ghetaldus. </s>
            <s xml:id="echoid-s25" xml:space="preserve">I have endeavoured to do Juſtice to my
              <lb/>
            Authors by all poſſible Care both in the Text and in the
              <lb/>
            Figures; </s>
            <s xml:id="echoid-s26" xml:space="preserve">and have added a few Propoſitions of my own, by
              <lb/>
            way of Supplement, in which I have propoſed Ghetaldus’s
              <lb/>
            Problems over again without a Determination, and have
              <lb/>
            found the
              <emph style="sc">Locus</emph>
            of the center of the circle required, which
              <lb/>
            I have not ſeen done before in any Author.</s>
            <s xml:id="echoid-s27" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum