DelMonte, Guidubaldo, Mechanicorvm Liber

Page concordance

< >
Scan Original
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <pb n="41" xlink:href="036/01/095.jpg"/>
            <p id="id.2.1.81.4.0.0.0" type="head">
              <s id="id.2.1.81.5.1.1.0">PROPOSITIO III. </s>
            </p>
            <p id="id.2.1.81.6.0.0.0" type="main">
              <s id="id.2.1.81.6.1.1.0">Alio quoq; modo vecte vti poſsumus. </s>
            </p>
            <p id="id.2.1.81.7.0.0.0" type="main">
              <s id="id.2.1.81.7.1.1.0">Sit Vectis AB,
                <lb/>
              cuius fulcimentum
                <lb/>
              B; ſitq; ex puncto
                <lb/>
              A pondus C appen­
                <lb/>
              ſum; ſitq; potentia
                <lb/>
              in D vtcunq; inter
                <lb/>
              AB ſuſtinens pon­
                <lb/>
              dus C. </s>
              <s id="id.2.1.81.7.1.1.0.a">Dico vt AB
                <lb/>
                <figure id="id.036.01.095.1.jpg" place="text" xlink:href="036/01/095/1.jpg" number="89"/>
                <lb/>
              ad BD, ita eſſe potentiam in D ad pondus C. </s>
              <s id="id.2.1.81.7.1.1.0.b">Appendatur ex
                <lb/>
              puncto D pondus E æquale ipſi C; & vt BD ad BA, ita fiat pon
                <lb/>
              dus E ad aliud F. </s>
              <s id="N12C1D">& cùm pondera CE ſint inter ſe ſe æqualia; erit
                <lb/>
              pondus C ad pondus F, vt BD ad BA. </s>
              <s id="id.2.1.81.7.1.1.0.c">appendatur pondus
                <lb/>
              F quoq; in D. </s>
              <s id="id.2.1.81.7.1.1.0.d">& quoniam pondus E ad ipſum F eſt, vt grauitas
                <lb/>
              ponderis E ad grauitatem ponderis F; & pondus E ad pondus F
                <arrow.to.target n="note134"/>
                <lb/>
              eſt, vt BD ad BA: vt igitur grauitas ponderis E ad grauitatem
                <lb/>
              ponderis F, ita eſt BD ad BA. </s>
              <s id="N12C32">vt autem BD ad BA, ita eſt gra
                <arrow.to.target n="note135"/>
                <lb/>
              uitas ponderis E ad grauitatem ponderis C; quare grauitas ponde­
                <lb/>
              ris E ad grauitatem ponderis F eandem habet proportionem,
                <lb/>
              quam habet ad grauitatem ponderis C. </s>
              <s id="N12C33">pondera ergo CF eandem
                <arrow.to.target n="note136"/>
                <lb/>
              habent grauitatem. </s>
              <s id="id.2.1.81.7.1.2.0">ſit igitur potentia in D ſuſtinens pondus F,
                <lb/>
              erit potentia in D ipſi ponderi F æqualis. </s>
              <s id="id.2.1.81.7.1.3.0">& quoniam pondus F
                <lb/>
              in D æquè graue eſt, vt pondus C in A; habebit potentia in D
                <lb/>
              eandem proportionem ad grauitatem ponderis F, quam habet ad
                <arrow.to.target n="note137"/>
                <lb/>
              grauitatem ponderis C. </s>
              <s id="id.2.1.81.7.1.3.0.a">ſed potentia in D pondus F ſuſtinet; po­
                <lb/>
              tentia igitur in D pondus quoq; C ſuſtinebit: & pondus C ad po­
                <lb/>
              tentiam in D ita erit, vt pondus C ad pondus F; & C ad F eſt, vt
                <lb/>
              BD ad BA; erit igitur pondus C ad potentiam in D, vt BD ad
                <lb/>
              BA: & conuertendo, vt AB ad BD, ita potentia in D ad pondus
                <lb/>
              C. </s>
              <s id="id.2.1.81.7.1.3.0.b">potentia ergo ad pondus eſt, vt diſtantia à fulcimento ad pon
                <lb/>
              deris ſuſpendium ad diſtantiam à fulcimento ad potentiam. </s>
              <s id="id.2.1.81.7.1.4.0">quod
                <lb/>
              demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.82.1.0.0.0" type="margin">
              <s id="id.2.1.82.1.1.1.0">
                <margin.target id="note134"/>
                <emph type="italics"/>
              In ſexta huius de libra.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.82.1.1.2.0">
                <margin.target id="note135"/>
              6
                <emph type="italics"/>
              Huius de libra.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.82.1.1.3.0">
                <margin.target id="note136"/>
              9
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.82.1.1.4.0">
                <margin.target id="note137"/>
              7
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum