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

List of thumbnails

< >
31
31 		32
32
33
33 		34
34
35
35 		36
36
37
37 		38
38
39
39 		40
40
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11553" type="main">
              <s id="N1158E">
                <pb xlink:href="077/01/045.jpg" pagenum="41"/>
              quæ
                <emph type="italics"/>
              ex diſtantiis æqualibus
                <emph.end type="italics"/>
              AC CB
                <emph type="italics"/>
              æ〈que〉ponderarent.
                <emph.end type="italics"/>
              at non ę〈que〉
                <lb/>
              ponderant, quod eſt abſurdum. </s>
              <s id="N115DE">diſtantia igitur AC ipſi CB
                <lb/>
              æqualis eſſe non poteſt.
                <emph type="italics"/>
              ſi uerò AC maior fuerit CB
                <emph.end type="italics"/>
              ; ablato ſi­
                <lb/>
              militer exceſſu D, nihilominus ęqualia grauia AB non ę〈que〉
                <lb/>
              ponderabunt, ſed
                <emph type="italics"/>
              inclinabitur ad A. æqualia enim grauia
                <emph.end type="italics"/>
              AB
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
                <arrow.to.target n="marg31"/>
                <lb/>
                <emph type="italics"/>
              distantiis inæqualibus non æ〈que〉ponderant, ſed inclinatur ad maiorem
                <lb/>
              distantiam
                <emph.end type="italics"/>
              AC. ergo totum AD multò magis præponderabit,
                <lb/>
              quàm B. quod fieri non poteſt. </s>
              <s id="N11609">poſita enim ſunt æ〈que〉ponde
                <lb/>
              rare. </s>
              <s id="N1160D">Quare AC maior eſſe non poteſt, quàm CB. ſed oſtenſa
                <lb/>
              eſt, ne〈que〉 ipſi CB æqualis eſſe:
                <emph type="italics"/>
              ac propterea minor eſt AC, quàm
                <lb/>
              CB. Manifestum eſt ita〈que〉 grauia ex distantiis inæqualibus æ〈que〉pon­
                <lb/>
              derantia, inæqualia eſſe; maiuſquè in minori
                <emph.end type="italics"/>
              diſtantia
                <emph type="italics"/>
              existere.
                <emph.end type="italics"/>
              quod
                <lb/>
              oportebat demonſtrare. </s>
            </p>
            <p id="N11623" type="margin">
              <s id="N11625">
                <margin.target id="marg28"/>
              B</s>
            </p>
            <p id="N11629" type="margin">
              <s id="N1162B">
                <margin.target id="marg29"/>
              4
                <emph type="italics"/>
              post hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11636" type="margin">
              <s id="N11638">
                <margin.target id="marg30"/>
              1
                <emph type="italics"/>
              poſt hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11643" type="margin">
              <s id="N11645">
                <margin.target id="marg31"/>
              2
                <emph type="italics"/>
              post hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11650" type="head">
              <s id="N11652">SCHOLIVM.</s>
            </p>
            <p id="N11654" type="main">
              <s id="N11656">In propoſitione verba illa,
                <emph type="italics"/>
              maius quidem ex minori
                <emph.end type="italics"/>
              , non
                <expan abbr="habẽtur">haben
                  <arrow.to.target n="marg32"/>
                  <lb/>
                tur</expan>
              integra in codice græco, qui ſic habet,
                <foreign lang="grc">καὶ τό ἀπὸ το̄ν ἐλάσσονος</foreign>
                <lb/>
              vbi deſiderari videtur
                <foreign lang="grc">μέιζον</foreign>
              , vt integrè ita legatur,
                <foreign lang="grc">καὶ τὸ μείζον
                  <lb/>
                ἀπὸ τοῡ ἐλάσσονος.</foreign>
              </s>
            </p>
            <p id="N11676" type="margin">
              <s id="N11678">
                <margin.target id="marg32"/>
              A</s>
            </p>
            <p id="N1167C" type="main">
              <s id="N1167E">
                <emph type="italics"/>
              Sitquè maius A.
                <emph.end type="italics"/>
              Græcus codex,
                <foreign lang="grc">καὶ ἔσω τὸ α</foreign>
              , vbi
                <arrow.to.target n="marg33"/>
              ſup­
                <lb/>
              plendum eſt,
                <foreign lang="grc">καὶ ἔσω μείζον τὸ α</foreign>
              Hæc verò ita ſunt omnino reſti
                <lb/>
              tuenda, quia in vltima demonſtrationis concluſione inquit
                <lb/>
              Archimedes,
                <emph type="italics"/>
              Manifeſtum est ita〈que〉 grauia ex diſtantiis inæqualibus
                <lb/>
              æ〈que〉ponderantia inæqualia eſſe; maiuſquè in minori existere.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1169E" type="margin">
              <s id="N116A0">
                <margin.target id="marg33"/>
              B</s>
            </p>
            <p id="N116A4" type="main">
              <s id="N116A6">
                <expan abbr="Poſtquã">Poſtquam</expan>
              Archimedes
                <expan abbr="duab^{9}">duabus</expan>
              primis
                <expan abbr="poſitionib^{9}">poſitionibus</expan>
                <expan abbr="oſtẽdit">oſtendit</expan>
              ,
                <expan abbr="qũo">quno</expan>
                <lb/>
              ſe
                <expan abbr="hẽant">henant</expan>
              grauia ex
                <expan abbr="diſtãtijs">diſtantijs</expan>
                <expan abbr="ęqualib^{9};">ęqualibus</expan>
              in hac tertia
                <expan abbr="cõuertiſſe">conuertitſe</expan>
              ad
                <lb/>
                <expan abbr="oſtẽdẽdũ">oſtendendum</expan>
              ,
                <expan abbr="qũo">quno</expan>
              ſe
                <expan abbr="hẽnt">hennt</expan>
              ex
                <expan abbr="diſtãtijs">diſtantijs</expan>
                <expan abbr="inęqualib^{9}">inęqualibus</expan>
              . &
                <expan abbr="qm̃">quem</expan>
              in
                <expan abbr="ſecũdo">ſecundo</expan>
                <lb/>
              poſtulato
                <expan abbr="aſsũpſit">aſsumpſit</expan>
              ,
                <expan abbr="qũo">quno</expan>
              ſe
                <expan abbr="hẽnt">hennt</expan>
              grauia ęqualia in
                <expan abbr="diſtãtijs">diſtantijs</expan>
              in ę­
                <lb/>
              qualibus
                <expan abbr="cõſtituta">conſtituta</expan>
              ;
                <expan abbr="nimirũ">nimirum</expan>
                <expan abbr="qd">quod</expan>
              eſt in
                <expan abbr="lõgiori">longiori</expan>
                <expan abbr="diſtãtia">diſtantia</expan>
              ,
                <expan abbr="prępõde-rat">pręponde­
                  <lb/>
                rat</expan>
              ei,
                <expan abbr="qd">quod</expan>
              eſt in breuiori.
                <expan abbr="nũc">nunc</expan>
                <expan abbr="oſtẽdit">oſtendit</expan>
              ,
                <expan abbr="qũo">quno</expan>
              inęqualia grauia ſe
                <lb/>
                <expan abbr="hẽnt">hennt</expan>
              , ita vt
                <expan abbr="ę〈que〉põderẽt">ę〈que〉ponderent</expan>
              , in
                <expan abbr="diſtãtijs">diſtantijs</expan>
              in ęqualibus poſita.
                <expan abbr="demõ">demom</expan>
                <lb/>
              ſtratquè graue maius in breuiori
                <expan abbr="diſtãtia">diſtantia</expan>
                <expan abbr="eẽ">eem</expan>
              oportere,
                <expan abbr="min^{9}">minus</expan>
              ve­
                <lb/>
              rò graue in
                <expan abbr="lõgiori">longiori</expan>
              . & ecce quomodo Archimedes
                <expan abbr="paulatĩ">paulatim</expan>
              de
                <lb/>
              ducit nos in
                <expan abbr="cognitionẽ">cognitionem</expan>
              principalis
                <expan abbr="fundamẽti">fundamenti</expan>
              ,
                <expan abbr="qd">quod</expan>
              ſcilicet gra
                <lb/>
              ue ad graue eſt, vt
                <expan abbr="diſtãtia">diſtantia</expan>
              ad
                <expan abbr="diſtãtiã">diſtantiam</expan>
                <expan abbr="pmutatim">permutatim</expan>
              . </s>
              <s id="N11749">Ex hoc.
                <expan abbr="n.">enim</expan>
              pri
                <lb/>
              mùm cognoſcimus grauius in minori, leuius
                <expan abbr="autẽ">autem</expan>
              in maiori
                <lb/>
              diſtantia eſſe debere, ſi ę〈que〉ponderare debent. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum