Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Page concordance

< >
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.004850">
                <pb pagenum="274" xlink:href="009/01/274.jpg"/>
                <emph type="italics"/>
              cedit, vt demergi neceſſe ſit: multa è contrariò repellit, ac ſustinet. </s>
              <s id="s.004851">vis enim ea
                <lb/>
              eſt aquæ. </s>
              <s id="s.004852">vt ſurſum verſus compellat inferius; ergò, vt in portu maris parùm, ſic
                <lb/>
              multùm in alto eſt:
                <expan abbr="itaq;">itaque</expan>
              plus oneris conuehi in portu videbitur, etiam mouebitur
                <lb/>
              ægrius, quia magis immergitur, & aqua minus reniti poteſt: at verò in alto res
                <lb/>
              contra vſu venit)
                <emph.end type="italics"/>
              ſenſus verborum Ariſt. ſatis perſpicuus eſt, res tamen ſunt
                <lb/>
              magis expendendæ. </s>
              <s id="s.004853">primò
                <expan abbr="namq;">namque</expan>
              maximè ambigo de experientia ipſa, quæ
                <lb/>
              huic quæſtioni ſubijcitur, ſi enim vera ſunt ea, quæ ab Aſtronomis afferun­
                <lb/>
              tur, vt maris ſphæricitatem aſſerant, falſa neceſſariò erit experientia hæc:
                <lb/>
              aiunt autem ipſi pari velocitate nauigia è portu in altum euehi,
                <expan abbr="atq;">atque</expan>
              ex al­
                <lb/>
              to in portum appellant; quod ſignum manifeſtum eſt, ſuperficiem maris
                <expan abbr="ex-timã">ex­
                  <lb/>
                timam</expan>
              æquè
                <expan abbr="vndiq;">vndique</expan>
              à centro mundi diſtare, ac proinde omninò
                <expan abbr="ſphæricã">ſphæricam</expan>
              eſſe.</s>
            </p>
            <p type="main">
              <s id="s.004854">Illud poſtea, quod pro ſolutione Problematis affert, dum ait, nauim ma­
                <lb/>
              gis in portu, quàm in alto demergi (quoniam plus aquæ, valeat magis, quàm
                <lb/>
              minus, nauigij onus ſuſtinere, parua enim aqua oppreſſa onere cædit faci­
                <lb/>
              lius, quàm multa) non paruam habet difficultatem. </s>
              <s id="s.004855">refragantur enim ma­
                <lb/>
              ximorum
                <expan abbr="Matnematicorũ">Mathematicorum</expan>
              demonſtrationes. </s>
              <s id="s.004856">Archimedes enim demonſt. </s>
              <s id="s.004857">5.
                <lb/>
              lib. 1. de ijs, quæ vehuntur in aqua acutiſſimè demonſtrat; ſolidarum ma­
                <lb/>
              gnitudinum humido læuiorum, in humidum eò
                <expan abbr="vſq;">vſque</expan>
              demergi, vt tanta moles
                <lb/>
              humidi, quanta eſt partis demerſæ, eandem quam tota magnitudo, graui­
                <lb/>
              tatem habeat. </s>
              <s id="s.004858">quod idem Galilæus Galilæus, in Italico Diſcurſu de rebus,
                <lb/>
              quæ aquæ innatunt, ſubtiliter
                <expan abbr="cõprobauit">comprobauit</expan>
              , vt videre eſt apud ipſum pag. </s>
              <s id="s.004859">14.
                <lb/>
              quæ cum certa ſint, ſequitur neceſſariò falſum eſſe, maiorem aquæ copiam
                <lb/>
              altiùs nauim quàm minorem, extollere. </s>
              <s id="s.004860">dummodo tamen aqua
                <expan abbr="vtrobiq;">vtrobique</expan>
              ſit
                <lb/>
              eiuſdem grauitatis. </s>
              <s id="s.004861">quare Galilæus pag. </s>
              <s id="s.004862">17. ſic orationem claudit: valeant
                <lb/>
              inquit, eorum falsè opiniones, qui exiſtimant nauigium facilius à magna
                <lb/>
              aquæ copia ſuſtineri, quàm à parua: quod Ariſt. ſect. </s>
              <s id="s.004863">23. probl. </s>
              <s id="s.004864">2. credidit:
                <lb/>
              cum contrà verum ſit, nauim æquè facilè in oceano,
                <expan abbr="atq;">atque</expan>
              in decem doliorum
                <lb/>
              aqua innatare, ac ſuſtineri hæc ille.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.004865">
                <emph type="italics"/>
              Ex Sectione 30.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.004866">
                <arrow.to.target n="marg395"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.004867">
                <margin.target id="marg395"/>
              404</s>
            </p>
            <p type="main">
              <s id="s.004868">Ad 6 Probl.
                <emph type="italics"/>
              (Cur nihil in eo delectamur, quod triangulum duobus rectis pa­
                <lb/>
              res angulos internos habere ſpectamus)
                <emph.end type="italics"/>
              vide quæ lib. 1. Priorum, ſecto
                <lb/>
              3. cap. 3. de hac trianguli proprietate annotaui, cuius etiam ſæpius Ariſt.
                <lb/>
              meminit, nunquam tamen verbum illud, internos, præterquam hic, addi­
                <lb/>
              dit; vt autem benè intelligas quinam ſint hi anguli interni, & qui externi,
                <lb/>
              & quod etiam rectis externi æquiualeat, lege quæ ad tex. 39. primi Poſter,
                <lb/>
              ſunt annotata.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.004869">
                <emph type="italics"/>
              Ex Sectione 31.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s id="s.004870">Eorum, quæ ad oculos pertinent,</s>
            </p>
            <p type="main">
              <s id="s.004871">
                <arrow.to.target n="marg396"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.004872">
                <margin.target id="marg396"/>
              405</s>
            </p>
            <p type="main">
              <s id="s.004873">Probl. 7.
                <emph type="italics"/>
              (Quam ob cauſam
                <expan abbr="vtrunq;">vtrunque</expan>
              aſpectum ſimul diuertere deſtrorſum, &
                <lb/>
              ſiniſtrorſum, & ad nares demittere valemus, & alterum ad dextram, & ad
                <lb/>
              ſiniſtram, ſimul verò vnum dextrorſum, alterum ſiniſtrorſum nequimus; ſimiliter
                <lb/>
                <expan abbr="neq;">neque</expan>
              deorſum,
                <expan abbr="neq;">neque</expan>
              ſurſum. </s>
              <s id="s.004874">ſimul verò ad idem poſſumus, ſeparatim verò nequa-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>