Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

< >
[Figure 201]
[Figure 202]
[Figure 203]
[Figure 204]
[Figure 205]
[Figure 206]
[Figure 207]
[Figure 208]
[Figure 209]
[Figure 210]
[Figure 211]
[Figure 212]
[Figure 213]
[Figure 214]
[Figure 215]
[Figure 216]
[Figure 217]
[Figure 218]
[Figure 219]
[Figure 220]
[Figure 221]
[Figure 222]
[Figure 223]
[Figure 224]
[Figure 225]
[Figure 226]
[Figure 227]
[Figure 228]
[Figure 229]
[Figure 230]
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/1013.jpg" pagenum="319"/>
            <p type="head">
              <s>A
                <lb/>
              LETTER
                <lb/>
              OF
                <lb/>
              Monſieur Des-Cartes
                <lb/>
              TO THE
                <lb/>
              REVEREND FATHER
                <lb/>
                <emph type="italics"/>
              MARIN MERSENNE.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Reverend Father,
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>I Did think to have deferred writing unto you
                <lb/>
              yet eight or fifteen dayes, to the end I might
                <lb/>
              not trouble you too often with my Letters,
                <lb/>
              but I have received yours of the firſt of
                <emph type="italics"/>
              Sept.
                <emph.end type="italics"/>
                <lb/>
              which giveth me to underſtand that it is an
                <lb/>
              hard matter to admit the Principle which I
                <lb/>
              have ſuppoſed in my Examination of the
                <lb/>
              Geoſtatick Queſtion, and in regard that if it
                <lb/>
              be not true, all the reſt that I have inferred from it would be yet
                <lb/>
              leſſe true: I would not one onely day defer ſending you a more
                <lb/>
              particular Explication. </s>
              <s>It is requiſite above all things to conſider
                <lb/>
              that I did ſpeak of the Force that ſerveth to raiſe a Weight to ſome
                <lb/>
              heighth, the which Force hath evermore two Dimenſions, and not
                <lb/>
              of that which ſerveth in each point to ſuſtain it, which hath never
                <lb/>
              more than one Dimenſion, inſomuch that theſe two Forces differ
                <lb/>
              as much the one from the other, as a Superficies differs from a Line:
                <lb/>
              for the ſame Force which a Nail ought to have for the ſuſtaining of
                <lb/>
              a Weight of 100 pound one moment of time, doth alſo ſuffice for
                <lb/>
              to ſuſtain it the ſpace of a year, provided that it do not diminiſh,
                <lb/>
              but the ſame Quantity of this Force which ſerveth to raiſe the
                <lb/>
              Weight to the heighth of one foot, ſufficeth not
                <emph type="italics"/>
              (eadem numero)
                <emph.end type="italics"/>
                <lb/>
              to raiſe it two feet; and it is not more manifeſt that two and two
                <lb/>
              make four, than it's manifeſt that we are to employ double as much
                <lb/>
              therein.</s>
            </p>
            <p type="main">
              <s>Now, foraſmuch as that this is nothing but the ſame thing that
                <lb/>
              I have ſuppoſed for a Principle, I cannot gueſſe on what the Scruple
                <lb/>
              ſhould be grounded that men make of receiving it; but I ſhall in </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>