Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

List of thumbnails

< >
51
51 		52
52
53
53 		54
54
55
55 		56
56
57
57 		58
58
59
59 		60
60
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000421">
                <pb pagenum="20" xlink:href="028/01/060.jpg"/>
              duplum temporis, quo percurritur CD, & hoc
                <lb/>
                <figure id="id.028.01.060.1.jpg" xlink:href="028/01/060/1.jpg" number="12"/>
                <lb/>
              duplum eius, quo DE, & iſtud illius, quo EF,
                <lb/>
              & ſic deinceps; neque enim maior vnius,
                <lb/>
              quàm alterius eſt ratio; ac in accelerato potiſ­
                <lb/>
              ſimù n æquabiliter motu, de quo præſertim
                <lb/>
              quæſtio heic eſt. </s>
              <s id="s.000422">Quare & velis etiam opor­
                <lb/>
              tet, vt cùm tempus, quo percurritur BC, ſit
                <lb/>
              dimidium temporis, quo percurritur AB; illud,
                <lb/>
              quo percurritur CD, ſit quadrans eiuſdem
                <lb/>
              primi temporis; illud, quo DE, octans; quo
                <lb/>
              EF, pars decima ſexta; quo FG, trigeſima ſe­
                <lb/>
              cunda; quo GH ſexageſima quarta, &c. </s>
              <s id="s.000423">Por­
                <lb/>
              rò hæc omnia tempora ſimul iuncta nunquam
                <lb/>
              æquabuntur primo tempori, quo decurſum
                <lb/>
              fuerit AB (quandò procedentes hoc modo
                <lb/>
              fractiones relinquunt ſemper ex integro, to­
                <lb/>
              tove quidpiam inexhauſtum) niſi lineam, ſeu
                <lb/>
              ſpatium infinitum admiſeris, & parteis æqua­
                <lb/>
              leis in eo infinitas, quæ infinitis analogis (ſeu
                <lb/>
              dimidiorum dimidiis in tempore ipſo, aut
                <lb/>
              æquali, quo AB percurritur) contineri intel­
                <lb/>
              lectis, reſpondeant. </s>
              <s id="s.000424">Adderem heic etiam
                <lb/>
              incommodum aliud de ſpatijs increſcentibus,
                <lb/>
              & in fine cuiuſlibet æqualis temporis numerandis
                <lb/>
              ſecundum rationem non modò duplam, verùm etiam
                <lb/>
              triplam, & ampliùs: ſed res erit poſteà vberiùs dicen­
                <lb/>
              da. </s>
              <s id="s.000425">Adderem rursùs alia quoque, vt Quòd ſequere­
                <lb/>
              tur lineam proiectorum, & illam ſpeciatim, quæ deſ­
                <lb/>
              cribitur à lapide ſurſum, & ſecundum mali altitudi­
                <lb/>
              nem, dum nauis mouetur, proiecto, non eſſe Parabo-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum