Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id002069">
                <pb pagenum="115" xlink:href="015/01/134.jpg"/>
              multo plures centum millibus ictus excipiat ante <08> euertatur, quæ
                <lb/>
              recta ſi eſſet quinquaginta ſolùm potuiſſet ſuſtinere. </s>
              <s id="id002070">Quæ ergo hu
                <lb/>
              mana potentia ſufficeret. </s>
              <s id="id002071">In arce Medio
                <expan abbr="lanẽſi">lanenſi</expan>
              uidimus uix attactas
                <lb/>
              in illis extuberationibus lapideis. </s>
              <s id="id002072">Sed quoniam hic occurritur per
                <lb/>
              inclinationem machinarum, ideò de hoc
                <expan abbr="ſermonẽ">ſermonem</expan>
              ſum habiturus.</s>
            </p>
            <p type="margin">
              <s id="id002073">
                <margin.target id="marg410"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <table>
              <table.target id="table16"/>
              <row>
                <cell>729</cell>
              </row>
              <row>
                <cell>972</cell>
              </row>
              <row>
                <cell>1296</cell>
              </row>
              <row>
                <cell>1728</cell>
              </row>
              <row>
                <cell>2304</cell>
              </row>
              <row>
                <cell>3072</cell>
              </row>
              <row>
                <cell>4096</cell>
              </row>
              <row>
                <cell>5461 1/3</cell>
              </row>
              <row>
                <cell>7281 7/9</cell>
              </row>
            </table>
            <p type="main">
              <s id="id002074">Propoſitio centeſima decima nona.</s>
            </p>
            <p type="main">
              <s id="id002075">Quantum ictus machinę procliuis ad
                <expan abbr="angulũ">angulum</expan>
                <expan abbr="minuat̃">minuatur</expan>
              explorare.</s>
            </p>
            <p type="main">
              <s id="id002076">Huiuſce cauſa
                <expan abbr="excogitarũt">excogitarunt</expan>
              , ut ictus ad
                <expan abbr="perpendiculũ">perpendiculum</expan>
                <expan abbr="dirigeret̃">dirigeretur</expan>
              , &
                <lb/>
                <arrow.to.target n="marg411"/>
                <lb/>
                <expan abbr="quanquã">quanquam</expan>
              angulus d e f ſit ęquali angulo a b c, longè
                <expan abbr="tñ">tamen</expan>
              maior eſt uis
                <lb/>
              a b <08> d e duplici cauſa, &
                <expan abbr="quoniã">quoniam</expan>
              a b eſt
                <expan abbr="ſecundũ">ſecundum</expan>
              nat uram impetus
                <lb/>
                <figure id="id.015.01.134.1.jpg" xlink:href="015/01/134/1.jpg" number="127"/>
                <lb/>
              ignis, &
                <expan abbr="etiã">etiam</expan>
                <expan abbr="eorũ">eorum</expan>
              , quę
                <expan abbr="emittunt̃">emittuntur</expan>
              in altum: & q̊d pars
                <lb/>
              ſuperior in b retineat
                <expan abbr="ictũ">ictum</expan>
              , in e non retineat. </s>
              <s id="id002077">Sed caui
                <lb/>
              tas fiat maior in inferiore parte: cuius
                <expan abbr="experimẽtum">experimentum</expan>
                <lb/>
              quiliber facere poteſt
                <expan abbr="cũ">cum</expan>
              haſta. </s>
              <s id="id002078">Huic ergo ſolertiæ,
                <expan abbr="q̃">quae</expan>
                <lb/>
              tormenta iubet altius collocare obſtat
                <expan abbr="primũ">primum</expan>
              , quod
                <lb/>
              ictus ex decliui ſitu periculoſior eſt pro machina, & ma
                <lb/>
              ximè q̊d retro impellit, quae ex retro ceſſa, poſt <08> exone
                <lb/>
              rata eſt,
                <expan abbr="dignoſcit̃">dignoſcitur</expan>
              , & ad
                <expan abbr="collimandũ">collimandum</expan>
              decedit parte
                <expan abbr="ui­riũ">ui­
                  <lb/>
                rium</expan>
              ſuarum, q̊d etſi
                <expan abbr="paruũ">paruum</expan>
              ſit in ductu
                <expan abbr="tñ">tamen</expan>
              , &
                <expan abbr="ictuũ">ictuum</expan>
              mul
                <lb/>
              tiplicatione
                <expan abbr="magnũ">magnum</expan>
              affert diſcrimen. </s>
              <s id="id002079">Habet &
                <expan abbr="cõmo">commo</expan>
                <lb/>
              dum ſitus muri accliuis
                <expan abbr="terrã">terram</expan>
                <expan abbr="ſuppoſitã">ſuppoſitam</expan>
              ad perpendiculum,
                <expan abbr="q̃">quae</expan>
              ictum
                <lb/>
              ſuſtinet: adeò ut omnib. </s>
              <s id="id002080">
                <expan abbr="inuicẽ">inuicem</expan>
              collectis, perinde ſit ac ſi ex perpen­
                <lb/>
              diculo, et ęquidiſtanti ad
                <expan abbr="ſolũ">ſolum</expan>
                <expan abbr="feriat̃">feriatur</expan>
              . </s>
              <s id="id002081">Venetus. </s>
              <s id="id002082">S. aliter Patauij cauit,
                <lb/>
              uidetur que, quae ſapientiſsimus ſit, & eandem ſequatur ubi que normam,
                <lb/>
              poſt <08> in
                <expan abbr="rotundã">rotundam</expan>
              figuram
                <expan abbr="totũ">totum</expan>
              urbis ambitum formauit, & foſſa la
                <lb/>
              ta, ac pro fundiſsima aqua que perenni muniuit, &
                <expan abbr="ſummã">ſummam</expan>
              muri partem
                <lb/>
                <expan abbr="rotundã">rotundam</expan>
              in hunc
                <expan abbr="modũ">modum</expan>
              effecit
                <expan abbr="cauã">cauam</expan>
              que interius undique, ne cuniculis
                <lb/>
                <figure id="id.015.01.134.2.jpg" xlink:href="015/01/134/2.jpg" number="128"/>
                <lb/>
              poſſet euerti, à lateribus uerò humiles, ac craſsiſsimas turres, ut nul
                <lb/>
              la ui poſſent dirui, eas que tormentis bellicis, undique latera luſtrantib.
                <lb/>
              </s>
              <s id="id002083">repleſſet, illud diligentiſsime cauit, ne murus humilior eſſet aduerſa
                <lb/>
              ripa, ſed ad
                <expan abbr="libellã">libellam</expan>
              tamen depreſſus, ut
                <expan abbr="etiã">etiam</expan>
              machinis in terram exten
                <lb/>
              ſis ſphęrulæ non tangerent
                <expan abbr="murũ">murum</expan>
              : nam
                <expan abbr="cũ">cum</expan>
              foſſa ſit quadraginta paſ­
                <lb/>
              ſuum, excedat
                <expan abbr="aũt">aut</expan>
              murus
                <expan abbr="exteriorẽ">exteriorem</expan>
              aggerem uno paſſu, ut quicquid
                <lb/>
              in ambitu eſt uno ictu oculi cognoſci poſsit, & aggeris angulus ma
                <lb/>
              ior ſit uno paſſu,
                <expan abbr="tũ">tum</expan>
              magis adiecta craſsitie machinę fieri non poteſt,
                <lb/>
              ut ictus in
                <expan abbr="murũ">murum</expan>
              dirigatur. </s>
              <s id="id002084">Eam ob cauſam
                <expan abbr="etiã">etiam</expan>
              cauit, ne
                <expan abbr="ędificiũ">ędificium</expan>
              ul­
                <lb/>
                <figure id="id.015.01.134.3.jpg" xlink:href="015/01/134/3.jpg" number="129"/>
                <lb/>
              lum, aut planta, uel colliculus eſſet cir­
                <lb/>
              cum circa
                <expan abbr="urbẽ">urbem</expan>
              ad tria M. P. laborat hoc
                <lb/>
              periculo hęc urbs, ne tota ędificijs euer­
                <lb/>
              ſis concidat. </s>
              <s id="id002085">
                <expan abbr="Turcarũ">Turcarum</expan>
              enim Princeps di­
                <lb/>
              dicit, ut in Nouo caſtro in Melitę Inſulę
                <lb/>
              arce S. </s>
              <s id="id002086">Elmi appellata pluſ <08> mille icti­
                <lb/>
              bus in ſingulos dies imo M D obtundere </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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