DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1196C" type="main">
              <s id="N11986">
                <pb xlink:href="077/01/049.jpg" pagenum="45"/>
              horizonti perpendicularis. </s>
              <s id="N11998">ſecus aurem minimè. </s>
              <s id="N1199A">Nam ſi pon
                <lb/>
              dera AB ſint in libra ADB, quę ſit arcuata, vel angulum
                <expan abbr="cō-ſtituat">con­
                  <lb/>
                ſtituat</expan>
              , ſiue intelligatur libra recta linea AB, cui affixa ſit
                <lb/>
              perpendicularis CD. vt in tractatu de libra noſtrorum Me­
                <lb/>
              chanicorum diximus. </s>
              <s id="N119A8">ſuſpendantur autem pondera AB ex
                <lb/>
                <arrow.to.target n="fig20"/>
                <lb/>
              D, & æ〈que〉ponderent;
                <expan abbr="nõ">non</expan>
                <lb/>
              ſequitur tamen, ergo D
                <lb/>
                <expan abbr="cẽtrum">centrum</expan>
              eſt grauitatis ma­
                <lb/>
              gnitudinis ex AB com­
                <lb/>
              poſitę. </s>
              <s id="N119C0">centrum enim gra
                <lb/>
              uitatis in linea exiſtit AB
                <lb/>
              quæ centra grauitatis ma
                <lb/>
              gnitudinum AB coniun
                <lb/>
              git, nempe in C. Verùm coniungat recta linea AB centra
                <lb/>
                <arrow.to.target n="fig21"/>
                <lb/>
              grauitatis æqualium ponderum AB, lineaquè
                <lb/>
              AB, cuius medium ſit C, in centrum mundi
                <expan abbr="tẽ-dat">ten­
                  <lb/>
                dat</expan>
              , magnitudoquè ex ipſis AB compoſita vbi­
                <lb/>
              cun〈que〉 ſuſpendatur in linea AB, vt in E; ma
                <lb/>
              nebunt vti〈que〉 pondera AB ex E ſuſpenſa, vt in
                <lb/>
              prima propoſitione de libra noſtrorum Mecha­
                <lb/>
              nicorum oſtendimus. </s>
              <s id="N119E1">cùm C ſit ipſorum
                <expan abbr="centrū">centrum</expan>
                <lb/>
              grauitatis, & EC ſit horizonti erecta. </s>
              <s id="N119E9">Et quam­
                <lb/>
              uis magnitudo ex ipſis AB compoſita ex E ſu
                <lb/>
              ſpenſa maneat; non propterea ſequitur ergo E
                <lb/>
              centrum eſt grauitatis magnitudinis ex ipſis AB
                <lb/>
              compoſitę. </s>
              <s id="N119F3">niſi fortè accidat ſuſpenſio ex puncto
                <lb/>
              C. Præterea verò aduertendum eſt in hoc caſu
                <expan abbr="põdera">pon
                  <lb/>
                dera</expan>
              AB, dici quidem poſſe, manere, non autem
                <lb/>
              æ〈que〉ponderare. </s>
              <s id="N119FF">omnia nimirum, quę æ〈que〉ponderant, ma­
                <lb/>
              nent; ſed non è conuerſo, quæ manent, æ〈que〉ponderant. </s>
              <s id="N11A03">Nam
                <lb/>
              ſi pondus A maius fuerit pondere B; ſiue B maius, quàm
                <lb/>
              A, vbicun〈que〉 fiat ſuſpenſio in linea AB, ſemper ob
                <expan abbr="eãdem">eandem</expan>
                <lb/>
              cauſam, quomodocun〈que〉 ſint pondera, manebunt; non ta­
                <lb/>
              men æ〈que〉ponderabunt. </s>
              <s id="N11A11">Vt enim pondera æ〈que〉ponderent,
                <lb/>
              requiritur, vt pars parti, virtuſquè vnius virtuti alterius hinc
                <lb/>
              inde reſiſtere, & æquipollere poſſit; vt propriè dici poſſint
                <expan abbr="põ">pom</expan>
                <lb/>
              dera æ〈que〉ponderare. </s>
              <s id="N11A1D">& vt hoc euenire poſſit, oportet, vt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum