Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000466">
                <pb pagenum="95" xlink:href="010/01/103.jpg"/>
                <arrow.to.target n="marg111"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000467">
                <margin.target id="marg111"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000468">
                <emph type="center"/>
              PROP. XLII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000469">
                <emph type="center"/>
                <emph type="italics"/>
              Et primò oſtendemus, quòd quodlibet corpus à principio in­
                <lb/>
              trinſeco, & naturali ſponte translatum faciliùs, &
                <lb/>
              celeriùs mouebitur in fluido rariori, & tenuio­
                <lb/>
              ri, quàm in medio fluido craſſo, &
                <lb/>
              tenaciori.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000470">SInt duo vaſa GHIK, alterum KILM,
                <expan abbr="primũ">primum</expan>
              aqua
                <lb/>
              repleatur, ſecundum verò hydrargyro, immer­
                <lb/>
              gatur verò eadem pila lignea A in vtroque fluido, in­
                <lb/>
              telliganturque duæ moles ſpatiales ex prædictis flui­
                <lb/>
              dis B, & C, quæ æquales ſint ipſi A, eique
                <expan abbr="ſuperincũ-bant">ſuperincun­
                  <lb/>
                bant</expan>
              , patet ergò quòd mercurij moles C grauior re­
                <lb/>
              ſiſtentior, denſior, atque compactior eſt, quàm ſit
                <lb/>
                <figure id="id.010.01.103.1.jpg" xlink:href="010/01/103/1.jpg"/>
                <lb/>
              moles aquę B. præterea pila lignea
                <lb/>
              A nullo pacto aſcendere ſursùm po­
                <lb/>
              teſt, niſi aquam B, ab eius loco ex­
                <lb/>
              pellat vt ei locum cedat, atque mo­
                <lb/>
              les ipſius ligni A
                <expan abbr="trãsferatur">transferatur</expan>
              ad oc­
                <lb/>
              cupandum ſpatium ei æquale B, &
                <lb/>
              hoc ſemper contingit, vbique enim
                <lb/>
              in
                <expan abbr="aſcẽſu">aſcenſu</expan>
              cogitur continuato niſu
                <lb/>
              ſursùm impellere incumbentem a­
                <lb/>
              quæ molem ei æqualem, tenacita­
                <lb/>
              temque eius penetrare, ponatur iam gradus natura­
                <lb/>
              lis impetus leuitatis ipſius ligni eſſe D, quia verò cor­
                <lb/>
              pus motiuum A impetu D affectum impellit corpus
                <lb/>
              B fluidum, quod in quiete conſtitutum ſua naturali </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>