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

List of thumbnails

< >
41
41 		42
42
43
43 		44
44
45
45 		46
46
47
47 		48
48
49
49 		50
50
< >
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