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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/018.jpg" pagenum="2"/>
              ſible: Since that it is neceſſary to introduce in Nature, ſubſtances
                <lb/>
                <arrow.to.target n="marg4"/>
                <lb/>
              different betwixt themſelves, that is, the Cœleſtial, and
                <lb/>
              ry; that impaſſible and immortal, this alterable and corruptible.
                <lb/>
              </s>
              <s>Which argument
                <emph type="italics"/>
              Ariſtotle
                <emph.end type="italics"/>
              handleth in his book
                <emph type="italics"/>
              De Cœlo,
                <emph.end type="italics"/>
                <lb/>
              ating it firſt, by ſome diſcourſes dependent on certain general
                <lb/>
              ſumptions, and afterwards confirming it with experiments and
                <lb/>
              ticular demonſtrations: following the ſame method, I will
                <lb/>
              pound, and freely ſpeak my judgement, ſubmitting my ſelf to
                <lb/>
              your cenſure, and particularly to
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              a Stout Champion
                <lb/>
              and contender for the
                <emph type="italics"/>
              Ariſtotelian
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg5"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg3"/>
              Copernicus
                <emph type="italics"/>
                <lb/>
              teth the earth œ
                <lb/>
              Globe like to a
                <lb/>
              net.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg4"/>
                <emph type="italics"/>
              Cœleſtial
                <lb/>
              ces that are
                <lb/>
              rable, and
                <lb/>
              tary that be
                <lb/>
              rable, are neceſſary
                <lb/>
              in the opinion of
                <emph.end type="italics"/>
                <lb/>
              Ariſtotle.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg5"/>
              Ariſtotle
                <emph type="italics"/>
              maketh
                <lb/>
              the World perfect,
                <lb/>
              becauſe it hath the
                <lb/>
              threefold
                <lb/>
              on.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>And the firſt Step of the
                <emph type="italics"/>
              Peripatetick
                <emph.end type="italics"/>
              arguments is that, where
                <emph type="italics"/>
                <lb/>
              riſtotle
                <emph.end type="italics"/>
              proveth the integrity and perfection of the World, telling
                <lb/>
              us, that it is not a ſimple line, nor a bare ſuperficies, but a body
                <lb/>
              adorned with Longitude, Latitude, and Profundity; and becauſe
                <lb/>
              there are no more dimenſions but theſe three; The World having
                <lb/>
              them, hath all, and having all, is to be concluded perfect. </s>
              <s>And
                <lb/>
              again, that by ſimple length, that magnitude is conſtituted, which
                <lb/>
              is called a Line, to which adding breadth, there is framed the
                <lb/>
              perficies, and yet further adding the altitude or profoundity, there
                <lb/>
              reſults the Body, and after theſe three dimenſions there is no
                <lb/>
              paſſing farther, ſo that in theſe three the integrity, and to ſo ſpeak,
                <lb/>
              totality is terminated, which I might but with juſtice have
                <lb/>
              red
                <emph type="italics"/>
              Ariſtotle
                <emph.end type="italics"/>
              to have proved to me by neceſſary conſequences, the
                <lb/>
              rather in regard he was able to do it very plainly, and ſpeedily.</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>What ſay you to the excellent demonſtrations in the </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg6"/>
                <lb/>
              2. 3. and 4. Texts, after the definition of
                <emph type="italics"/>
              Continual
                <emph.end type="italics"/>
              ? </s>
              <s>have you it
                <lb/>
              not firſt there proved, that there is no more but three dimenſions,
                <lb/>
              for that thoſe three are all things, and that they are every where?
                <lb/>
              </s>
              <s>And is not this confirmed by the Doctrine and Authority of the
                <lb/>
                <arrow.to.target n="marg7"/>
                <lb/>
                <emph type="italics"/>
              Pythagorians,
                <emph.end type="italics"/>
              who ſay that all things are determined by three,
                <lb/>
              ginning, middle, and end, which is the number of All? </s>
              <s>And where
                <lb/>
              leave you that reaſon, namely, that as it were by the law of
                <lb/>
              ture, this number is uſed in the ſacrifices of the Gods? </s>
              <s>And why
                <lb/>
              being ſo dictated by nature, do we atribute to thoſe things that
                <lb/>
              are three, and not to leſſe, the title of all? </s>
              <s>why of two is it ſaid
                <lb/>
              both, and not all, unleſs they be three? </s>
              <s>And all this Doctrine you
                <lb/>
              have in the ſecond Text. </s>
              <s>Afterwards in the third,
                <emph type="italics"/>
              Ad pleniorem
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg8"/>
                <lb/>
                <emph type="italics"/>
              ſcientiam,
                <emph.end type="italics"/>
              we read that
                <emph type="italics"/>
              All,
                <emph.end type="italics"/>
              the
                <emph type="italics"/>
              Whole,
                <emph.end type="italics"/>
              and
                <emph type="italics"/>
              Perfect,
                <emph.end type="italics"/>
              are formally
                <lb/>
              one and the ſame; and that therefore onely the
                <emph type="italics"/>
              Body,
                <emph.end type="italics"/>
              amongſt
                <lb/>
              magnitudes is perfect: becauſe it is determined by three, which is
                <lb/>
              All, and being diviſible three manner of waies, it is every way
                <lb/>
              viſible; but of the others, ſome are dividible in one manner, and
                <lb/>
              ſome in two, becauſe according to the number aſſixed, they have
                <lb/>
              their diviſion and continuity, and thus one magnitude is
                <lb/>
                <arrow.to.target n="marg9"/>
                <lb/>
              ate one way, another two, a third, namely the Body, every way. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum