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.2.1.13.3.0.0.0" type="main">
              <s id="id.2.1.13.3.1.8.0">
                <pb n="9" xlink:href="036/01/031.jpg"/>
              ferentiam AN maiorem portionem lineæ FG pertranſit (quod
                <lb/>
              ipſi vocant capere de directo) quàm deſcenſus ex L in D per cir
                <lb/>
              cumferentiam LD; cùm deſcenſus AN lineam CT pertranſeat,
                <lb/>
              deſcenſus verò LD lineam PO; & CT maior eſt PO; rectior erit
                <lb/>
              deſcenſus AN, quám deſcenſus LD. </s>
              <s id="id.2.1.13.3.1.8.0.a">grauius ergo erit pondus
                <lb/>
              in A, quàm in L, & in quouis alio ſitu. </s>
              <s id="id.2.1.13.3.1.9.0">eodemq; prorſus
                <lb/>
              modo oſtendunt, quò propius eſt ipſi A, grauius eſſe. </s>
              <s id="id.2.1.13.3.1.10.0">
                <lb/>
              Vt ſint circumferentiæ LD DA inter ſe ſe æquales, & à puncto
                <lb/>
              D ipſi AB perpendicularis ducatur DR; erit DR ipſi CO æqua
                <arrow.to.target n="note28"/>
                <lb/>
              lis. </s>
              <s id="id.2.1.13.3.1.11.0">lineam deinde DR ipſa LQ maiorem eſſe demonſtrant. </s>
              <s id="id.2.1.13.3.1.12.0">di­
                <lb/>
              cuntq; deſcenſum DA magis capere de directo deſcenſu LD, ma
                <lb/>
              ior enim eſt linea CO, quàm OP; quare pondus grauius erit
                <lb/>
              in D, quàm in L. quod ipſum euenit in punctis NM. </s>
              <s id="id.2.1.13.3.1.12.0.a">Suppo­
                <lb/>
              ſitionem itaq;, qua libram DE in AB redire demonſtrant, vt
                <arrow.to.target n="note29"/>
                <lb/>
              notam, manifeſtamq; proferunt. </s>
              <s id="id.2.1.13.3.1.13.0">Nempè Secundùm ſitum pon
                <lb/>
              dus grauius eſſe, quanto in eodem ſitu minus obliquus eſt deſcen
                <lb/>
              ſus. </s>
              <s id="id.2.1.13.3.1.14.0">huiuſq; reditus cauſam eam eſſe dicunt; Quoniam ſcilicet
                <arrow.to.target n="note30"/>
                <lb/>
              deſcenſus ponderis in D rectior eſt deſcenſu ponderis in E, cùm
                <lb/>
              minus capiat de directo pondus in E deſcendendo, quàm pon
                <arrow.to.target n="note31"/>
                <lb/>
              dus in D ſim liter deſcendendo. </s>
              <s id="id.2.1.13.3.1.15.0">Vt ſi arcus EV ſit ipſi DA
                <lb/>
              æqualis, ducanturq; VH ET ipſi FG perpendiculares; maior
                <lb/>
              erit DR, quàm TH. </s>
              <s id="N10C0D">quare per ſuppoſitionem pondus in D ra
                <lb/>
              tione ſitus grauius erit pondere in E. </s>
              <s id="id.2.1.13.3.1.15.0.a">pondus ergo in D, cùm ſit
                <lb/>
              grauius, deorſum mouebitur; pondus verò in E ſurſum, donec li
                <lb/>
              bra DE in AB redeat. </s>
            </p>
            <p id="id.2.1.14.1.0.0.0" type="margin">
              <s id="id.2.1.14.1.1.1.0">
                <margin.target id="note22"/>
                <emph type="italics"/>
              Cardanus primo de ſubtilitate.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.2.0">
                <margin.target id="note23"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              15.
                <emph type="italics"/>
              tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.3.0">
                <margin.target id="note24"/>
                <emph type="italics"/>
              Cardanus.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.4.0">
                <margin.target id="note25"/>
                <emph type="italics"/>
              Cardanus.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.5.0">
                <margin.target id="note26"/>
                <emph type="italics"/>
              Iordanus propoſitio ne
                <emph.end type="italics"/>
              4. </s>
              <s id="id.2.1.14.1.1.6.0">
                <margin.target id="note27"/>
                <emph type="italics"/>
              Tartalea propoſitione
                <emph.end type="italics"/>
              5. </s>
              <s id="id.2.1.14.1.1.7.0">
                <margin.target id="note28"/>
              34
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.8.0">
                <margin.target id="note29"/>
                <emph type="italics"/>
              Iordanus ſuppoſitione
                <emph.end type="italics"/>
              4. </s>
              <s id="id.2.1.14.1.1.9.0">
                <margin.target id="note30"/>
                <emph type="italics"/>
              Iordanus propoſitio ne
                <emph.end type="italics"/>
              3. </s>
              <s id="id.2.1.14.1.1.10.0">
                <margin.target id="note31"/>
                <emph type="italics"/>
              Tartalea propoſitio ne
                <emph.end type="italics"/>
              5. </s>
            </p>
            <p id="id.2.1.15.1.0.0.0" type="main">
              <s id="id.2.1.15.1.1.1.0">Altera huius quoq; reditus ratio eſt, cùm trutina ſupra libram
                <arrow.to.target n="note32"/>
                <lb/>
              eſt in CF; linea CG eſt meta. </s>
              <s id="id.2.1.15.1.1.2.0">& quoniam angulus GCD ma
                <lb/>
              ior eſt angulo GCE, & maior à meta angulus grauius reddit
                <lb/>
              pondus; trutina igitur ſuperius exiſtente, grauius erit pondus in
                <lb/>
              D, quàm in E. </s>
              <s id="N10C95">idcirco D in A, & E in B redibit. </s>
            </p>
            <p id="id.2.1.16.1.0.0.0" type="margin">
              <s id="id.2.1.16.1.1.1.0">
                <margin.target id="note32"/>
                <emph type="italics"/>
              Cardanus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.17.1.0.0.0" type="main">
              <s id="id.2.1.17.1.1.1.0">His itaq; rationibus conantur oſtendere libram DE in AB re
                <lb/>
              dire; quæ meo quidem iuditio facile ſolui poſſunt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum