DelMonte, Guidubaldo, Mechanicorvm Liber

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 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.39.3.0.0.0" type="main">
              <s id="id.2.1.39.3.1.11.0.a">
                <pb n="24" xlink:href="036/01/061.jpg"/>
              donec libra EF in AB redeat. </s>
              <s id="id.2.1.39.3.1.12.0">quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.40.1.0.0.0" type="margin">
              <s id="id.2.1.40.1.1.1.0">
                <margin.target id="note65"/>
              4
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.40.1.1.2.0">
                <margin.target id="note66"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              28
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.40.1.1.3.0">
                <margin.target id="note67"/>
              29
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.41.1.0.0.0" type="main">
              <s id="id.2.1.41.1.1.1.0">Huius autem effectus ratio ab Ariſtotele poſita, hic manifeſta in
                <arrow.to.target n="note68"/>
                <lb/>
              tueri poteſt. </s>
              <s id="id.2.1.41.1.1.2.0">ſit enim punctum N vbi CS EF ſe inuicem ſecant. </s>
              <s id="id.2.1.41.1.1.3.0">
                <lb/>
              & quoniam HE eſt ipſi HF æqualis; erit NE maior NF. </s>
              <s id="N11BBF">li­
                <lb/>
              nea ergo CS, quam perpendiculum vocat, libram EF in partes di
                <lb/>
              uidet inæquales. </s>
              <s id="id.2.1.41.1.1.4.0">cùm itaq; pars libræ NE ſit maior NF; atq; id,
                <lb/>
              quod plus eſt, neceſſe eſt, deorſum ferri: libra ergo EF ex parte E
                <lb/>
              deorſum mouebitur, donec in AB redeat. </s>
            </p>
            <p id="id.2.1.42.1.0.0.0" type="margin">
              <s id="id.2.1.42.1.1.1.0">
                <margin.target id="note68"/>
                <emph type="italics"/>
              Ariſtotelis ratio.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.43.1.0.0.0" type="main">
              <s id="id.2.1.43.1.1.1.0">Ex iis præterea, quæ ha
                <lb/>
              ctenus dicta ſunt inferre li
                <lb/>
              cet, libram EF velocius ab
                <lb/>
              eo ſitu in AB moueri; vndè
                <lb/>
              linea EF in directum pro­
                <lb/>
              tracta in centrum mundi
                <lb/>
              perueniat. </s>
              <s id="id.2.1.43.1.1.2.0">vt ſit EFS recta
                <lb/>
              linea. </s>
              <s id="id.2.1.43.1.1.3.0">& quoniam CD
                <lb/>
              CH, ſunt inter ſe ſe æqua
                <lb/>
              les. </s>
              <s id="id.2.1.43.1.1.4.0">ſi igitur centro C, ſpa
                <lb/>
              tioq; CD, circulus deſcri­
                <lb/>
              batur DHM; erunt pun­
                <lb/>
              cta DH in circuli circum­
                <lb/>
              ferentia. </s>
              <s id="id.2.1.43.1.1.5.0">Quoniam au­
                <lb/>
              tem CH ipſi EF eſt per­
                <lb/>
              pendicularis; continget li­
                <lb/>
              nea EHS circulum DHM
                <lb/>
              in puncto H. </s>
              <s id="id.2.1.43.1.1.5.0.a">pondus igi­
                <lb/>
              tur in H (ſicuti ſupra de­
                <lb/>
              monſtrauimus) grauius
                <lb/>
                <figure id="id.036.01.061.1.jpg" place="text" xlink:href="036/01/061/1.jpg" number="45"/>
                <lb/>
              erit, quàm in alio ſitu circuli DHM. </s>
              <s id="id.2.1.43.1.1.5.0.b">ergo magnitudo ex EF
                <lb/>
              ponderibus, & libra EF compoſita, cuius centrum grauitatis eſt
                <lb/>
              in H, in hoc ſitu magis grauitabit, quàm in quocunq; alio ſitu </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum