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="id001645">
                <pb pagenum="90" xlink:href="015/01/109.jpg"/>
                <expan abbr="ligunt̃">liguntur</expan>
              ob
                <expan abbr="opacũ">opacum</expan>
              , quod à tergo eſt, neque
                <expan abbr="ſpargunt̃">ſparguntur</expan>
              , neque
                <expan abbr="tranſeũt">tranſeunt</expan>
              , neque
                <lb/>
              combibuntur, ut ita dicam ſed omnes
                <expan abbr="reflectũtur">reflectuntur</expan>
              . </s>
              <s id="id001646">Ex quo colligitur
                <lb/>
              quincuplex ordo radiorum iuxta rationem uirium, primus eſt refle
                <lb/>
                <expan abbr="xorũ">xorum</expan>
              à ſpeculo
                <expan abbr="cõcauo">concauo</expan>
              , & hi ſunt
                <expan abbr="potẽtiſsimi">potentiſsimi</expan>
              ob
                <expan abbr="rationẽ">rationem</expan>
                <expan abbr="dictã">dictam</expan>
              , poſt
                <lb/>
              quos ſunt radij, qui tranſeunt per perſpicuum maximè rotundum,
                <lb/>
              qui & ipſi generant ignem, & debiliorem primo, deinde reliqui
                <lb/>
              tres ſequentes ſupra dicti. </s>
              <s id="id001647">Sextus eſt radiorum, qui reflectuntur à
                <lb/>
              rebus non nitidis, ut à muris, & tabulis, nam omnia dura reflectunt
                <lb/>
              & etiam mollium pleraque, & hæc reflexio eſt fermè infinita, & ob id
                <lb/>
              cubicula etiam in angulis illuminantur.</s>
            </p>
            <p type="main">
              <s id="id001648">
                <arrow.to.target n="marg333"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001649">
                <margin.target id="marg333"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id001650">Ex hoc ſequitur, quòd Luna remittit lumen, non reflectit, nam
                <lb/>
              ſecus non illuminaret to tum orbem, ſed ſolum portionem oppo­
                <lb/>
              ſitam Soli, & hoc etiam rarò, ergo combibitur, & illuſtrat circun­
                <lb/>
              circa ubique.</s>
            </p>
            <p type="main">
              <s id="id001651">
                <arrow.to.target n="marg334"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001652">
                <margin.target id="marg334"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id001653">In ſtellis lumen Solis pertranſit aliter, ſi reflecteretur, non illumi­
                <lb/>
              naret nos, aut apparerent, uelut cometæ, quia pars una eſſet clarior
                <lb/>
              reliqua, & ſi conbiberent lumen, non uiderentur æquè claræ, cum
                <lb/>
              Sol eſſet propinquus, aut remotus.</s>
            </p>
            <p type="main">
              <s id="id001654">
                <arrow.to.target n="marg335"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001655">
                <margin.target id="marg335"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 3.</s>
            </p>
            <p type="main">
              <s id="id001656">Luna tota intus illuminatur à Sole, quoniam ſi ante coniun­
                <lb/>
              ctionem illuminatur à ſiniſtra parte, & combibit lumen per cor­
                <lb/>
              rolarium primum, & poſt coniunctionem illuminatur à dex­
                <lb/>
              tra, & combibit pariter lumen, ergo eſt tota naturæ perſpicuæ, ſed
                <lb/>
              uidetur obſcura ex aduerſo, propterea quòd radij ualidiores refle­
                <lb/>
              xi illuſtrant illam ex parte Solis, diffugiunt à contraria, quod ma­
                <lb/>
              nifeſtè apparet in ampula expoſita Soli. </s>
              <s id="id001657">Pars enim clarior uerſus
                <lb/>
              Solem uidetur, quam ex aduerſo, hoc autem longè magis in Luna
                <lb/>
              ob diſtantiam.</s>
            </p>
            <p type="main">
              <s id="id001658">
                <arrow.to.target n="marg336"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001659">
                <margin.target id="marg336"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 4.</s>
            </p>
            <p type="main">
              <s id="id001660">In omni Solis eclipſi fit colectio radiorum ad aſpectum, &
                <lb/>
              ideo in regione illa, in qua centrum Solis integitur à centro Lunæ,
                <lb/>
              & ubicunque fit, fit incendium per tertium corrolarium. </s>
              <s id="id001661">Hoc autem
                <lb/>
              fit ſemper in quauis coniunctione, & dum Luna ſilet in regione ae­
                <lb/>
              ris, ſed terris non ſecundùm centrum, uerùm ad latitudinem, & ad
                <lb/>
              Orientem ante coniunctionem cum Sole, & ad Occidentem poſt:
                <lb/>
              ſed centra non ſunt in linea uiſus.</s>
            </p>
            <p type="main">
              <s id="id001662">
                <arrow.to.target n="marg337"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001663">
                <margin.target id="marg337"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 5.</s>
            </p>
            <p type="main">
              <s id="id001664">Ex hoc ſequitur, quod oportet ſubſtantiam Lunæ eſſe ualde cla­
                <lb/>
              ram, cum uideamus ab ampula tam paruum lumen diffundi, & ra­
                <lb/>
              rum, à Luna uerò in uniuerſum orbem, & tam copioſum, ut neceſ­
                <lb/>
              ſarium ſit ſubſtantiam Lunæ eſſe denſam, & lucidam ualde.</s>
            </p>
            <p type="head">
              <s id="id001665">SCHOLIVM.</s>
            </p>
            <p type="main">
              <s id="id001666">Et ſi quis dicat, quòd ſi incendium illud fieri poſſet in hora ecli­
                <lb/>
              pſis, ſequeretur, quòd ut in ampula in medio Lunæ uideretur </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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