Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of Notes

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            RF, ad portionem anuliſtricti deſcriptam portionem, SBEGT.
              <lb/>
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            <s xml:id="echoid-s6755" xml:space="preserve">erit vt, RF, adeandem portionem, quod patet etiam dereliquis ec-
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            rundem ſolidis ſimilaribus.</s>
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        <div xml:id="echoid-div658" type="section" level="1" n="386">
          <head xml:id="echoid-head403" xml:space="preserve">COROLLARIVM XVIII.</head>
          <p>
            <s xml:id="echoid-s6757" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6758" xml:space="preserve">20. </s>
            <s xml:id="echoid-s6759" xml:space="preserve">expoſita figura, & </s>
            <s xml:id="echoid-s6760" xml:space="preserve">exemplo conſtructo, oſtendi-
              <lb/>
            mus pariter ſolidum deſcriptum à portione, SMT, ad ſolidum
              <lb/>
            deſcriptum à portione, SBEGT, dum, HO, reuoluitur circa ma-
              <lb/>
            nentem axim, CO, eſſe vt portio, SMT, ad portionem, SBGET.
              <lb/>
            </s>
            <s xml:id="echoid-s6761" xml:space="preserve">quod etiam de reliquis ſolidis ſimilaribus ab eiſdem portionibus ge-
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            nitis patet.</s>
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            <s xml:id="echoid-s6763" xml:space="preserve">In huius autem Corollario colligitur ſolida ſimilaria genita ex pa-
              <lb/>
            rallelogrammis, cum portionibus in eadem altitudine exiſtentibus,
              <lb/>
            & </s>
            <s xml:id="echoid-s6764" xml:space="preserve">ad rectas, HD, CO, terminantibus, demptis ſolidis ſimilaribus
              <lb/>
            genitis ex parallelogrammis in eadem altitudine cum dictis portioni-
              <lb/>
            bus exiſtentibus, ſed ad rectas, NF, CO, terminantibus, adſolida
              <lb/>
              <figure xlink:label="fig-0293-01" xlink:href="fig-0293-01a" number="186">
                <image file="0293-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0293-01"/>
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            ſibi ſimilaria genita ex figuris compoſitis ex dictis portionibus, & </s>
            <s xml:id="echoid-s6765" xml:space="preserve">re-
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            liquo ſpatio, viq; </s>
            <s xml:id="echoid-s6766" xml:space="preserve">ad, CO, dempto ſolido ſimilari genito ex hocre-
              <lb/>
            liquo ſpatio, eſſe vt dictorum parallelogrammorum reſiduum paral-
              <lb/>
            lelogrammum ad dictam portionem. </s>
            <s xml:id="echoid-s6767" xml:space="preserve">Vtin exemplo cylindrum, H
              <lb/>
            Y, dempto cylindro, NQ, ad portionem anulilati reſectam per ſu-
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            perficiem deſcriptam in reuolutione a linea, ST, eſſe vt, HV, ad
              <lb/>
            portionem, SMT.</s>
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