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">
            <pb xlink:href="036/01/068.jpg"/>
            <p id="id.2.1.49.10.0.0.0" type="main">
              <s id="id.2.1.49.10.1.1.0">Sit libra horizonti æ­
                <lb/>
              quidiſtans AB, cuius cen
                <lb/>
              trum C ſit ſupra libram,
                <lb/>
              perpendiculumq; CD ho
                <lb/>
              rizonti perpendiculare,
                <lb/>
              quod ex parte D produca
                <lb/>
              tur in H. </s>
              <s id="id.2.1.49.10.1.1.0.a">Quoniam enim
                <lb/>
              conſiderata libræ grauita­
                <lb/>
              te, erit punctum D libræ
                <lb/>
              centrum grauitatis. </s>
              <s id="id.2.1.49.10.1.2.0">ſi ergo
                <lb/>
              in B paruum imponatur
                <lb/>
              pondus, cuius centrum
                <lb/>
                <figure id="id.036.01.068.1.jpg" place="text" xlink:href="036/01/068/1.jpg" number="52"/>
                <lb/>
              grauitatis ſit in puncto B; magnitudinis ex libra AB, & pondere
                <lb/>
              in B compoſitæ non erit amplius centrum grauitatis D; ſed erit in
                <lb/>
                <arrow.to.target n="note76"/>
              linea DB, vt in E: ita vt DE ad EB ſit, vt pondus in B ad gra­
                <lb/>
              uitatem libræ AB. </s>
              <s id="N11F44">Connectatur CE. </s>
              <s id="id.2.1.49.10.1.2.0.a">Quoniam autem pun­
                <lb/>
              ctum C eſt immobile, dum libra mouetur, punctum E circuli cir
                <lb/>
              cumferentiam EFG deſcribet, cuius ſemidiameter CE, & cen­
                <lb/>
              trum C. </s>
              <s id="N11F4F">quia verò CD horizonti eſt perpendicularis, linea CE
                <lb/>
              horizonti perpendicularis nequaquam erit. </s>
              <s id="id.2.1.49.10.1.3.0">quare magnitudo ex
                <lb/>
              AB, & pondere in B compoſita minimè in hoc ſitu manebit; ſed
                <lb/>
                <arrow.to.target n="note77"/>
              deorſum ſecundùm eius grauitatis centrum E per circumferen­
                <lb/>
              tiam EFG mouebitur; donec CE horizonti perpendicularis eua
                <lb/>
              dat; hoc eſt, donec CE in CDF perueniat. </s>
              <s id="id.2.1.49.10.1.4.0">atq; tunc libra AB
                <lb/>
              mota erit in kL, in quo ſitu libra vná cum pondere manebit. </s>
              <s id="id.2.1.49.10.1.5.0">nec
                <lb/>
              deorſum amplius mouebitur. </s>
              <s id="id.2.1.49.10.1.6.0">Si verò in B ponatur pondus graui­
                <lb/>
              us; centrum grauitatis totius magnitudinis erit ipſi B propius, vt in
                <lb/>
              M. </s>
              <s id="N11F72">& tunc libra deorſum, donec iuncta CM in linea CDH per
                <lb/>
              ueniat, mouebitur. </s>
              <s id="id.2.1.49.10.1.7.0">Ex maiore igitur, & minore pondere in B po
                <lb/>
              ſito, libra plus, minuſuè inclinabitur. </s>
              <s id="id.2.1.49.10.1.8.0">ex quo ſequitur pondus B
                <lb/>
              quarta circuli parte minorem ſemper circumferentiam deſcribe­
                <lb/>
              re, cùm angulus FCE ſit ſemper acutus. </s>
              <s id="id.2.1.49.10.1.9.0">nunquam enim punctum
                <lb/>
              B vſq; ad lineam CH perueniet, cùm centrum grauitatis ponde­
                <lb/>
              ris, & libræ ſimul ſemper inter DB exiſtat. </s>
              <s id="id.2.1.49.10.1.10.0">quò tamen pondus
                <lb/>
              in B grauius fuerit, maiorem quoq; circumferentiam deſcribet. </s>
              <s id="id.2.1.49.10.1.11.0">
                <lb/>
              eò enim magis punctum B ad lineam CH accedet. </s>
            </p>
            <p id="id.2.1.50.1.0.0.0" type="margin">
              <s id="id.2.1.50.1.1.1.0">
                <margin.target id="note76"/>
              6
                <emph type="italics"/>
              Primi Archim. de æquep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.50.1.1.3.0">
                <margin.target id="note77"/>
              1.
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum