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 n="35" xlink:href="036/01/083.jpg"/>
            <p id="id.2.1.59.2.0.0.0" type="head">
              <s id="id.2.1.59.3.1.1.0">ALITER. </s>
            </p>
            <p id="id.2.1.59.4.0.0.0" type="main">
              <s id="id.2.1.59.4.1.1.0">Sit libra BAC, cu­
                <lb/>
              ius centrum A; in pun­
                <lb/>
              ctis verò BC pondera
                <lb/>
              appendantur æqualia G
                <lb/>
              F: ſitq; primùm cen­
                <lb/>
              trum A vtcunque inter
                <lb/>
              BC. </s>
              <s id="id.2.1.59.4.1.1.0.a">Dico pondus F ad
                <lb/>
              pondus G eam in graui
                <lb/>
                <figure id="id.036.01.083.1.jpg" place="text" xlink:href="036/01/083/1.jpg" number="75"/>
                <lb/>
              tate proportionem habere, quam habet diſtantia CA ad diſtan­
                <lb/>
              tiam AB. </s>
              <s id="id.2.1.59.4.1.1.0.b">fiat vt BA ad AC, ita pondus F ad aliud H, quod ap
                <lb/>
              pendatur in B: pondera HF ex A æqueponderabunt. </s>
              <s id="id.2.1.59.4.1.2.0">ſed cùm
                <arrow.to.target n="note113"/>
                <lb/>
              pondera FG ſint æqualia, habebit pondus H ad pondus G ean­
                <lb/>
              dem proportionem, quam habet ad F. </s>
              <s id="N126D2">vt igitur CA ad AB, ita
                <arrow.to.target n="note114"/>
                <lb/>
              eſt H ad G. </s>
              <s id="N126D9">vt autem H ad G, ita eſt grauitas ipſius H ad graui
                <lb/>
              tatem ipſius G; cùm in eodem puncto B ſint appenſa. </s>
              <s id="id.2.1.59.4.1.3.0">quare vt CA
                <lb/>
              ad AB, ita grauitas ponderis H ad grauitatem ponderis G. </s>
              <s id="N126E2">cùm au
                <lb/>
              tem grauitas ponderis F in C appenſi ſit æqualis grauitati ponderis
                <lb/>
              H in B; erit grauitas ponderis F ad grauitatem ponderis G, vt CA
                <lb/>
              ad AB, videlicet vt diſtantia ad diſtantiam. </s>
              <s id="id.2.1.59.4.1.4.0">quod demonſtrare
                <lb/>
              oportebat. </s>
            </p>
            <p id="id.2.1.60.1.0.0.0" type="margin">
              <s id="id.2.1.60.1.1.1.0">
                <margin.target id="note113"/>
              6
                <emph type="italics"/>
              Primi Archim. de æquep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.60.1.1.3.0">
                <margin.target id="note114"/>
              7
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.61.1.0.0.0" type="main">
              <s id="id.2.1.61.1.1.1.0">Si verò libra B
                <lb/>
              AC ſecetur vtcunq;
                <lb/>
              in D, & in DC ap­
                <lb/>
              pendantur pondera
                <lb/>
              æqualia EF. </s>
              <s id="id.2.1.61.1.1.1.0.a">Dico
                <lb/>
              ſimiliter ita eſſe gra­
                <lb/>
                <figure id="id.036.01.083.2.jpg" place="text" xlink:href="036/01/083/2.jpg" number="76"/>
                <lb/>
              uitatem ponderis F ad grauitatem ponderis E, vt diſtantia CA ad
                <lb/>
              diſtantiam AD. </s>
              <s id="id.2.1.61.1.1.1.0.b">fiat AB æqualis ipſi AD, & in B appendatur
                <lb/>
              pondus G æquale ponderi E, & ponderi F. </s>
              <s id="id.2.1.61.1.1.1.0.c">Quoniam enim AB eſt
                <lb/>
              æqualis AD; pondera GE æqueponderabunt. </s>
              <s id="id.2.1.61.1.1.2.0">ſed cùm grauitas
                <lb/>
              ponderis F ad grauitatem ponderis G ſit, vt CA ad AB, & graui
                <lb/>
              tas ponderis E ſit æqualis grauitati ponderis G; erit grauitas pon­
                <lb/>
              deris F ad grauitatem ponderis E, vt CA ad AB, hoc eſt vt CA
                <lb/>
              ad AD. </s>
              <s id="N12738">quod demonſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum