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

List of thumbnails

< >
161
161 		162
162
163
163 		164
164
165
165 		166
166
167
167 		168
168
169
169 		170
170
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/699.jpg" pagenum="7"/>
            <p type="main">
              <s>SAGR. </s>
              <s>But if Digreſſions may lead us to the knowledge of
                <lb/>
              new Truths, what prejudice is it to us, that are not obliged to a
                <lb/>
              ſtrict and conciſe method, but that make our Congreſſions only
                <lb/>
              for our divertiſement to digreſſe ſometimes, leſt we let ſlip thoſe
                <lb/>
              Notions, which perhaps the offered occaſion being paſt, may never
                <lb/>
              meet with another opportunity of remembrance? </s>
              <s>Nay, who knows
                <lb/>
              not, that many times curioſity may thereby diſcover hints of more
                <lb/>
              worth, than the primarily intended Concluſions? </s>
              <s>Therefore I
                <lb/>
              entreat you to give ſatisfaction to
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              and my ſelf alſo,
                <lb/>
              no leſſe curious than he, and deſirous to underſtand what that
                <lb/>
              Cement is, that holdeth the parts of thoſe Solids ſo tenaciouſly
                <lb/>
              conjoyned, which yet nevertheleſſe in concluſion are diſſoluble:
                <lb/>
              a knowledge which furthermore is neceſſary for the underſtanding
                <lb/>
              of the coherence of the parts of thoſe very ligaments, whereof
                <lb/>
              ſome Solids are compoſed.</s>
            </p>
            <p type="main">
              <s>SALV. Well, ſince it is your pleaſure, I will herein ſerve you.
                <lb/>
                <arrow.to.target n="marg999"/>
                <lb/>
              And the firſt difficulty is, how the threads of a Cord or Rope
                <lb/>
              an hundred foot long ſhould ſo cloſely connect together (none
                <lb/>
              of them exceeding two or three foot) that it requireth a great
                <lb/>
              violence to break them. </s>
              <s>But tell me,
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              cannot you hold
                <lb/>
              one ſingle ſtring of Hemp ſo faſt between your fingers by one
                <lb/>
                <arrow.to.target n="marg1000"/>
                <lb/>
              end, that I pulling by the other end ſhould break it ſooner than
                <lb/>
              get it from you? </s>
              <s>Queſtionleſſe you might: when then, thoſe
                <lb/>
              threads are not only at the end, but alſo in every part of their
                <lb/>
              length, held faſt with much ſtrength by him that graſpeth them, is
                <lb/>
              it not apparent, that it is a much harder matter to pluck them
                <lb/>
              from him that holds them, then to break them? </s>
              <s>Now in the Cord,
                <lb/>
                <arrow.to.target n="marg1001"/>
                <lb/>
              the ſame act of twiſting, binds the threads mutually within one
                <lb/>
              another, in ſuch ſort, that pulling the Cord with great force, the
                <lb/>
              threads of it break inſunder, but ſeparate and part not from one
                <lb/>
              another; as is plainly ſeen by viewing the ſhort ends of the ſaid
                <lb/>
              threads in the broken place, that are not a ſpan long; as they
                <lb/>
              would be, if the diviſion of the Cord had been made by the ſole
                <lb/>
              ſeperating of them in drawing the Cord, and not by breaking
                <lb/>
              them.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg999"/>
                <emph type="italics"/>
              What that Cement
                <lb/>
              is that Connecteth
                <lb/>
              the parts of Solids.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1000"/>
                <emph type="italics"/>
              How a Rope or
                <lb/>
              Cord reſiſteth Fra­
                <lb/>
              ction.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1001"/>
                <emph type="italics"/>
              In breaking a Rope
                <lb/>
              the parts are not
                <lb/>
              ſeparated, but bro­
                <lb/>
              kon.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>For confirmation of this, let me add, that the Cord is
                <lb/>
              ſometimes ſeen to break, not by pulling it length-waies, but by
                <lb/>
              over-twiſting it: an argument, in my judgment, concluding that
                <lb/>
              the threads are ſo enterchangeably compreſt by one another, that
                <lb/>
              thoſe compreſſings permit not the compreſſed to ſlip ſo very little,
                <lb/>
              as is requiſite to lengthen it out that it wind about the Cord,
                <lb/>
              which in the twining breaketh, and conſequently in ſome ſinall
                <lb/>
              meaſure ſwels in thickneſſe.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>You ſay very well; but conſider by the way, how one
                <lb/>
              truth draweth on another. </s>
              <s>That thread, which griped between the </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum