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 ...

Page concordance

< >
Scan Original
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
< >
page |< < of 291 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="85" xlink:href="015/01/104.jpg"/>
            <p type="main">
              <s id="id001548">
                <arrow.to.target n="marg312"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001549">
                <margin.target id="marg312"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id001550">Ex hoc etiam ſequitur,
                <lb/>
                <figure id="id.015.01.104.1.jpg" xlink:href="015/01/104/1.jpg" number="99"/>
                <lb/>
              quod cùm omne graue
                <lb/>
              ſpontè ſemper appropin­
                <lb/>
              quet centro mundi, & a ſi
                <lb/>
              moueretur per planum e,
                <lb/>
              magis remoueretur à cen­
                <lb/>
              tro mundi, ut per e c per ea
                <lb/>
              quæ diximus, & quoniam
                <lb/>
              linea ex centro mundi ad
                <lb/>
              c longior eſt, quàm ad e,
                <lb/>
              multò poteſt enim eſſe, ut
                <lb/>
              in proportione diametri
                <lb/>
              quadrati ad latus eius, &
                <lb/>
              etiam maior. </s>
              <s id="id001551">ergo poterit
                <lb/>
              eſſe adeò parum decliuis
                <lb/>
              linea c d, ut c punctus ma­
                <lb/>
              gis diſter à centro mundi,
                <lb/>
              quàm d, & tamen feretur
                <lb/>
              ex d in c motu naturali, ut demonſtratum eſt, ergo per purum mo­
                <lb/>
              tum naturalem poterit a remoueri à centro mundi. </s>
              <s id="id001552">Hoc uolui pro­
                <lb/>
              ponere, ut intelligeres in plano uero c e non moueri a ſponte, quia
                <lb/>
              c neceſſariò altior eſt d: ſi ergo mouebitur, non erit c e recta, ſed
                <lb/>
              pars proportionis circuli ſuperficiei terræ, quæ ſenſu à recta diſtin­
                <lb/>
              gui non poterit. </s>
              <s id="id001553">Hoc ergo eſt primum, ex quo ſequitur.</s>
            </p>
            <p type="main">
              <s id="id001554">
                <arrow.to.target n="marg313"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001555">
                <margin.target id="marg313"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id001556">Quod aliquid poterit uideri decliue, in quo non deſcendet imò
                <lb/>
              erit, ut potè ſi aliqua linea obliqua eſſet inter c e, & f e, illa eſſet decli­
                <lb/>
              uis ſpecie, & re, & tamen graue in illa non deſcenderet, quia à cen­
                <lb/>
              tro mundi magis remoueretur: hoc tamen eſt perdifficile factu, &
                <lb/>
              maximè in parua diſtantia, uel etiam unius miliaris. </s>
              <s id="id001557">Atque hæc
                <lb/>
              in leuigatis.</s>
            </p>
            <p type="main">
              <s id="id001558">Propoſitio nonageſima ſecunda.</s>
            </p>
            <p type="main">
              <s id="id001559">Proportionem ponderis æqualis iuxta longitudinis compara­
                <lb/>
              tionem demonſtrare.</s>
            </p>
            <figure id="id.015.01.104.2.jpg" xlink:href="015/01/104/2.jpg" number="100"/>
            <p type="main">
              <s id="id001560">Hoc eſt, quod Archimedes reliquit </s>
            </p>
            <p type="main">
              <s id="id001561">
                <arrow.to.target n="marg314"/>
                <lb/>
              intactum, cum eſſet maximè neceſſa­
                <lb/>
              rium, & oſtendit magis abſtruſa, ſed
                <lb/>
              pace illius dixerim minus utilia. </s>
              <s id="id001562">Cum
                <lb/>
              ergo ſumpſiſſem uirgam b f ponderis
                <lb/>
              unciarum xxiij, fuiſſet b a uigeſima quarta pars, b f fuit pondus æ­
                <lb/>
              quilibrij in b appenſum librarum uiginti ſex cum dimidia: fuit igi­
                <lb/>
              tur proportio ponderis e f ad pondus f b, ut tredecim ferme ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum