Galilei, Galileo, The systems of the world, 1661

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="065/01/018.jpg" pagenum="12"/>
                <arrow.to.target n="marg37"/>
                <lb/>
              Now this acceleration of motion is never made, but when the
                <lb/>
              moveable in moving acquireth it; nor is its acquiſt other than an
                <lb/>
              approaching to the place deſired, to wit, whither its natural
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              clination attracts it, and thither it tendeth by the ſhorteſt way;
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              namely, by a right line. </s>
              <s>We may upon good grounds therefore
                <lb/>
              ſay, That Nature, to confer upon a moveable firſt conſtituted in
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              reſt a determinate velocity, uſeth to make it move according to
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                <arrow.to.target n="marg38"/>
                <lb/>
              a certain time and ſpace with a right motion. </s>
              <s>This preſuppoſed,
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              let us imagine God to have created the Orb
                <emph type="italics"/>
              v. </s>
              <s>g.
                <emph.end type="italics"/>
              of
                <emph type="italics"/>
              Jupiter,
                <emph.end type="italics"/>
              on
                <lb/>
              which he had determined to confer ſuch a certain velocity, which
                <lb/>
              it ought afterwards to retain perpetually uniform; we may with
                <lb/>
                <emph type="italics"/>
              Plato
                <emph.end type="italics"/>
              ſay, that he gave it at the beginning a right and accelerate
                <lb/>
              motion, and that it afterwards being arrived to that intended
                <lb/>
                <arrow.to.target n="marg39"/>
                <lb/>
              gree of velocity, he converted its right, into a circular motion,
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              the velocity of which came afterwards naturally to be uniform.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg26"/>
                <emph type="italics"/>
              Right motion by
                <lb/>
              nature infinite.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg27"/>
                <emph type="italics"/>
              Motion by a right
                <lb/>
              line naturally
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              poſſible.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg28"/>
                <emph type="italics"/>
              Nature attempts
                <lb/>
              not things
                <lb/>
              ble to be effected.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg29"/>
                <emph type="italics"/>
              Right motion might
                <lb/>
              perhaps be in the
                <lb/>
              firſt Chaos.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg30"/>
                <emph type="italics"/>
              Right motion is
                <lb/>
              commodious to
                <lb/>
              range in order,
                <lb/>
              things ous of
                <lb/>
              der.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg31"/>
                <emph type="italics"/>
              Mundane bodies
                <lb/>
              moved in the
                <lb/>
              ginning in a right
                <lb/>
              line, and
                <lb/>
              wards circularly?
                <lb/>
              </s>
              <s>according to
                <emph.end type="italics"/>
              Plato.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg32"/>
              * Thus doth he
                <lb/>
              vertly and
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              ly ſtile himſelfe
                <lb/>
              throughout this
                <lb/>
              work.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg33"/>
                <emph type="italics"/>
              A moveable
                <lb/>
              ing in a ſtate of
                <lb/>
              reſt, ſhall not move
                <lb/>
              unleſs it have an
                <lb/>
              inclination to ſome
                <lb/>
              particular place.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg34"/>
                <emph type="italics"/>
              The moveable
                <lb/>
              celerates its
                <lb/>
              on, going towards
                <lb/>
              the place whither
                <lb/>
              it hath an
                <lb/>
              tion.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg35"/>
                <emph type="italics"/>
              The moveable
                <lb/>
              ſing from reſt,
                <lb/>
              eth thorow all the
                <lb/>
              degrees of tardity.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg36"/>
                <emph type="italics"/>
              Reſt the inſinioe
                <lb/>
              degree of tardity.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg37"/>
                <emph type="italics"/>
              The moveable doth
                <lb/>
              not accelerate, ſave
                <lb/>
              only as it
                <lb/>
              eth nearer to its
                <lb/>
              term.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg38"/>
                <emph type="italics"/>
              Nature, to
                <lb/>
              duce in the
                <lb/>
              able a certain
                <lb/>
              gree of velocity,
                <lb/>
              made it move in a
                <lb/>
              right line.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg39"/>
                <emph type="italics"/>
              Vniform velocity
                <lb/>
              convenient to the
                <lb/>
              circular motion.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>I hearken to this Diſcourſe with great delight; and I
                <lb/>
              believe the content I take therein will be greater, when you have
                <lb/>
              ſatisfied me in a doubt: that is, (which I do not very well
                <lb/>
              prehend) how it of neceſſity enſues, that a moveable departing
                <lb/>
                <arrow.to.target n="marg40"/>
                <lb/>
              from its reſt, and entring into a motion to which it had a natural
                <lb/>
              inclination, it paſſeth thorow all the precedent degrees oſ tardity,
                <lb/>
              comprehended between any aſſigned degree of velocity, and the
                <lb/>
              ſtate of reſt, which degrees are infinite? </s>
              <s>ſo that Nature was not
                <lb/>
              able to confer them upon the body of
                <emph type="italics"/>
              Jupiter,
                <emph.end type="italics"/>
              his circular
                <lb/>
              on being inſtantly created with ſuch and ſuch
                <lb/>
                <arrow.to.target n="marg41"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg40"/>
                <emph type="italics"/>
              Betwixt reſt, and
                <lb/>
              any aſſigned degree
                <lb/>
              of velocity, infinite
                <lb/>
              degrees of leſs
                <lb/>
              locity interpoſe.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg41"/>
                <emph type="italics"/>
              Nature doth not
                <lb/>
              immediately
                <lb/>
              fer a determinate
                <lb/>
              degree of velocity,
                <lb/>
              howbeit ſhe could.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>I neither did, nor dare ſay, that it was impoſſible for
                <lb/>
              God or Nature to confer that velocity which you ſpeak of,
                <lb/>
              diately; but this I ſay, that
                <emph type="italics"/>
              de facto
                <emph.end type="italics"/>
              ſhe did not doit; ſo that the
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              doing it would be a work extra-natural, and by confequence
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              raculous.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>Then you believe, that a ſtone leaving its reſt, and
                <lb/>
              tring into its natural motion towards the centre of the Earth,
                <lb/>
              ſeth thorow all the degrees of tardity inferiour to any degree of
                <lb/>
              velocity?</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>I do believe it, nay am certain of it; and ſo certain,
                <lb/>
              that I am able to make you alſo very well ſatisfied with the truth
                <lb/>
              thereof.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>Though by all this daies diſcourſe I ſhould gain no
                <lb/>
              more but ſuch a knowledge, I ſhould think my time very well
                <lb/>
              beſtowed.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>By what I collect from our diſcourſe, a great part of
                <lb/>
              your ſcruple lieth in that it ſhould in a time, and that very ſhort,
                <lb/>
              paſs thorow thoſe infinite degrees of tardity precedent to any
                <lb/>
              locity, acquired by the moveable in that time: and therefore
                <lb/>
              fore we go any farther, I will ſeek to remove this difficulty, which </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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