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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1184D" type="main">
              <s id="N11887">
                <pb xlink:href="077/01/047.jpg" pagenum="43"/>
                <emph type="italics"/>
              habuerint.
                <emph.end type="italics"/>
              intelligendum eſt his verbis Archimedem ſuppo­
                <lb/>
              nere magnitudines ita eſſe conſtitutas, vt à centro ad centrum
                <lb/>
              duci poſſit recta linea. </s>
              <s id="N1189D">quod idem obſeruandum eſt in prima
                <lb/>
              propoſitione ſecundi libri huius. </s>
            </p>
            <p id="N118A1" type="main">
              <s id="N118A3">Súmoperè aút
                <expan abbr="animaduertẽda">animaduertenda</expan>
              ſunt
                <expan abbr="nõnulla">nonnulla</expan>
              , quibus vtitur
                <lb/>
              Archimedes in hac propoſitione, cùm ſint communiſſima,
                <lb/>
              & maximè vtilia in hac ſcientia. </s>
              <s id="N118AD">ac primùm quidem conſide
                <lb/>
              randum occurrit, quid ſibi vult Archimedes per magnitudi
                <lb/>
              nem ex vtriſ〈que〉 magnitudinibus AB compoſitam. </s>
              <s id="N118B3">Nam ma­
                <lb/>
              gnitudines AB ſunt inuicem ſeparatę, & ſunt duę, ipſe autem
                <lb/>
              vtram〈que〉 vnam tantùm conſiderat. </s>
              <s id="N118B9">quod quidem ita
                <expan abbr="intelli-gendũ">intelli­
                  <lb/>
                gendum</expan>
              eſt.
                <expan abbr="quoniã">quoniam</expan>
              ſcilicet recta linea AB eas coniungit; ideo
                <lb/>
              Archimedes conſiderat vnam tantùm eſſe
                <expan abbr="magnitudinẽ">magnitudinem</expan>
              ; quę
                <lb/>
              conſtat ex ipſis AB, & efficitur vna magnitudo à linea AB.
                <lb/>
              cuius munus eſt non ſolùm connectere magnitudines AB,
                <lb/>
              ita vtne〈que〉 ad ſe ampliùs accedere, ne〈que〉 recedere inuicem
                <lb/>
              poſſint; ſintquè ab hac linea quaſi compulſę eundem ſemper
                <lb/>
              interſe ſeruare ſi tum: verum etiam ſi ſuſpendantur ex C, in­
                <lb/>
              telligendum eſt linea AB in rectitudinem iacere, inſuperquè
                <lb/>
              ſuſtinere magnitudines AB. Ne〈que〉 magis vna eſt magnitudo
                <lb/>
              quadrilaterum,
                <expan abbr="pẽtagonum">pentagonum</expan>
              , cubus, & huiuſmodi aliæ, quàm
                <lb/>
              ſit magnitudo, quæ componitur ex magnitudinibus AB v­
                <lb/>
              nà cum linea AB. quòd ſi eſt vna tantùm magnitudo, ergo
                <lb/>
              vnum habet
                <expan abbr="cẽtrum">centrum</expan>
              grauitatis. </s>
              <s id="N118E9">Archimedes igitur quęrit cen
                <lb/>
              trum grauitatis huiuſce magnitudinis; demonſtratquè cen
                <lb/>
              trum eſſe in puncto C. quod eſt medium lineæ AB. notan
                <lb/>
              dum eſt autem Archimedem non conſiderare grauitatem li­
                <lb/>
              neę AB. vt potè, quę longitudo tantùm exiſtat. </s>
              <s id="N118F3">Quòd ſi quis
                <lb/>
              etiam mente concipere vellet lineam AB grauitate
                <expan abbr="pręditã">pręditam</expan>
                <lb/>
              eſſe; nihilominus centrum grauitatis lineę AB ſimiliter eſſet
                <lb/>
              in eius medio C. nam longitudo AC longitudini CB eſt
                <lb/>
              æqualis; ac propterea hę quidem longitudines eſſent inter ſeſe
                <lb/>
              ę〈que〉ponderantes. </s>
              <s id="N11903">Quare, ſiue
                <expan abbr="cõſiderata">conſiderata</expan>
              grauitate lineę AB,
                <lb/>
              ſiue minùs, centrum grauitatis magnitudinis ex AB compo
                <lb/>
              ſitę eſt
                <expan abbr="mediũ">medium</expan>
              rectę lineę, quæ centra grauitatis
                <expan abbr="magnitudinũ">magnitudinum</expan>
                <lb/>
              coniungit. </s>
              <s id="N11913">Et hoc modo ſi plures etiam eſſent magnitudines
                <lb/>
              à recta linea coniunctę, eodem modo eas pro vna tantùm ma</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum