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

Page concordance

< >
Scan Original
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/036.jpg" pagenum="20"/>
              uſe, in the ordinate parts of the World; and we did proceed to
                <lb/>
              ſay, that it was not ſo in circular motions, of which that which is
                <lb/>
              made by the moveable in it ſelf, ſtill retains it in the ſame place,
                <lb/>
                <arrow.to.target n="marg50"/>
                <lb/>
              and that which carrieth the moveable by the circumference of a
                <lb/>
              circle about its fixed centre, neither puts it ſelf, nor thoſe about it
                <lb/>
              in diſorder; for that ſuch a motion primarily is finite and terminate
                <lb/>
              (though not yet finiſhed and determined) but there is no point
                <lb/>
                <arrow.to.target n="marg51"/>
                <lb/>
              in the circumference, that is not the firſt and laſt term in the
                <lb/>
              culation; and continuing it in the circumference aſſigned it, it
                <lb/>
              leaveth all the reſt, within and without that, free for the uſe of
                <lb/>
              others, without ever impeding or diſordering them. </s>
              <s>This being
                <lb/>
              a motion that makes the moveable continually leave, and
                <lb/>
                <arrow.to.target n="marg52"/>
                <lb/>
              tinually arrive at the end; it alone therefore can primarily be
                <lb/>
              niform; for that acceleration of motion is made in the moveable,
                <lb/>
              when it goeth towards the term, to which it hath inclination;
                <lb/>
              and the retardation happens by the repugnance that it hath to
                <lb/>
              leave and part from the ſame term; and becauſe in circular
                <lb/>
              tion, the moveable continually leaves the natural term, and
                <lb/>
              tinually moveth towards the ſame, therefore, in it, the
                <lb/>
              nance and inclination are always of equal force: from which
                <lb/>
              quality reſults a velocity, neither retarded nor accelerated,
                <emph type="italics"/>
              i. </s>
              <s>e.
                <emph.end type="italics"/>
              an
                <lb/>
              uniformity in motion. </s>
              <s>From this conformity, and from the being
                <lb/>
                <arrow.to.target n="marg53"/>
                <lb/>
              terminate, may follow the perpetual continuation by ſucceſſively
                <lb/>
              reiterating the circulations; which in an undeterminated line,
                <lb/>
              and in a motion continually retarded or accelerated, cannot
                <lb/>
                <arrow.to.target n="marg54"/>
                <lb/>
              turally be. </s>
              <s>I ſay, naturally; becauſe the right motion which is
                <lb/>
              retarded, is the violent, which cannot be perpetual; and the
                <lb/>
              celerate arriveth neceſſarily at the term, if one there be; and if
                <lb/>
              there be none, it cannot be moved to it, becauſe nature moves
                <lb/>
              not whether it is impoſſible to attain. </s>
              <s>I conclude therefore, that
                <lb/>
              the circular motion can onely naturally conſiſt with natural
                <lb/>
              dies, parts of the univerſe, and conſtituted in an excellent
                <lb/>
              ſure; and that the right, at the moſt that can be ſaid for it, is
                <lb/>
                <arrow.to.target n="marg55"/>
                <lb/>
              aſſigned by nature to its bodies, and their parts, at ſuch time as
                <lb/>
              they ſhall be out of their proper places, conſtituted in a depraved
                <lb/>
              diſpoſition, and for that cauſe needing to be redured by the
                <lb/>
              eſt way to their natural ſtate. </s>
              <s>Hence, me thinks, it may
                <lb/>
              nally be concluded, that for maintenance of perfect order among ſt
                <lb/>
              the parts of the World, it is neceſſary to ſay, that moveables are
                <lb/>
              moveable onely circularly; and if there be any that move not
                <lb/>
                <arrow.to.target n="marg56"/>
                <lb/>
              circularly, theſe of neceſſity are immoveable: there being
                <lb/>
              thing but reſt and circular motion apt to the conſervation of
                <lb/>
              der. </s>
              <s>And I do not a little wonder with my ſelf, that
                <emph type="italics"/>
              Ariſtotle,
                <emph.end type="italics"/>
                <lb/>
              who held that the Terreſtrial globe was placed in the centre of
                <lb/>
              the World, and there remained immoveable, ſhould not ſay, that </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum