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

Table of Notes

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        <div xml:id="echoid-div455" type="section" level="1" n="274">
          <head xml:id="echoid-head290" xml:space="preserve">D. SECTIO IV.</head>
          <p style="it">
            <s xml:id="echoid-s4506" xml:space="preserve">_I_N Propoſ. </s>
            <s xml:id="echoid-s4507" xml:space="preserve">II. </s>
            <s xml:id="echoid-s4508" xml:space="preserve">deducemus cylindricos ſimilibus baſibus inſiſtentes
              <lb/>
            habere inter ſe rationem compoſitam ex ratione baſium, & </s>
            <s xml:id="echoid-s4509" xml:space="preserve">altitu-
              <lb/>
            dinum, vel laterum æqualiter dictis baſibus inclinatorum.</s>
            <s xml:id="echoid-s4510" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div456" type="section" level="1" n="275">
          <head xml:id="echoid-head291" xml:space="preserve">E. SECTIO V.</head>
          <p style="it">
            <s xml:id="echoid-s4511" xml:space="preserve">_I_N Propoſ. </s>
            <s xml:id="echoid-s4512" xml:space="preserve">12. </s>
            <s xml:id="echoid-s4513" xml:space="preserve">colligemus cylindricos, quorum ſimiles baſes altitù-
              <lb/>
            dinibus, vel lateribus æqualiter baſibus inclinatis reciprocè re-
              <lb/>
            ſpondent, eſſe æquales; </s>
            <s xml:id="echoid-s4514" xml:space="preserve">& </s>
            <s xml:id="echoid-s4515" xml:space="preserve">cylindricos æquales, ſimilibus baſibus inſi-
              <lb/>
            ſtentes, baſes habere altitudinibus, vel lateribus æqualiter baſibus in-
              <lb/>
            clinatis, reciprocas.</s>
            <s xml:id="echoid-s4516" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div457" type="section" level="1" n="276">
          <head xml:id="echoid-head292" xml:space="preserve">F. SECTIO VI.</head>
          <p style="it">
            <s xml:id="echoid-s4517" xml:space="preserve">_I_N Prop. </s>
            <s xml:id="echoid-s4518" xml:space="preserve">13. </s>
            <s xml:id="echoid-s4519" xml:space="preserve">habebimus ſimiles cylindricos eſſe in tripla ratione la-
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            terum homologorum.</s>
            <s xml:id="echoid-s4520" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div458" type="section" level="1" n="277">
          <head xml:id="echoid-head293" xml:space="preserve">G. SECTIO VII.</head>
          <p style="it">
            <s xml:id="echoid-s4521" xml:space="preserve">_E_X Prop. </s>
            <s xml:id="echoid-s4522" xml:space="preserve">14. </s>
            <s xml:id="echoid-s4523" xml:space="preserve">colligimus ſi prædicti cylindrici inſiſtant baſibus diſ-
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            ſimilibus, adh uc prædictas paſſiones de ipſis ver@ficari; </s>
            <s xml:id="echoid-s4524" xml:space="preserve">in quibus
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            tamen non numerant ur ſimiles cylindrici, cum oporteat eoſdem ſimiles
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            baſes habere.</s>
            <s xml:id="echoid-s4525" xml:space="preserve"/>
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        <div xml:id="echoid-div459" type="section" level="1" n="278">
          <head xml:id="echoid-head294" xml:space="preserve">H. SECTIO VIII.</head>
          <p style="it">
            <s xml:id="echoid-s4526" xml:space="preserve">_I_N Prop. </s>
            <s xml:id="echoid-s4527" xml:space="preserve">22. </s>
            <s xml:id="echoid-s4528" xml:space="preserve">habemus in eius figura, ſolida ſimilaria genita ex pa-
              <lb/>
            rallelogrammis, AS, Τβ, iuxta regulas, ES, Ζβ, ea@dem ratio-
              <lb/>
            nem babere ad ſolidi ſimilaria genita ex triangulis, OES, & </s>
            <s xml:id="echoid-s4529" xml:space="preserve">Ζβ, ideſt
              <lb/>
              <note position="left" xlink:label="note-0204-01" xlink:href="note-0204-01a" xml:space="preserve">_Ex hae_
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              _Propoſ._</note>
            cyliadricos @enitos ex, AS, Τβ ad conicos genitos ex triangulis,
              <lb/>
            OES, & </s>
            <s xml:id="echoid-s4530" xml:space="preserve">Ζβ, eaadem rationem babere, vnde, cum conica
              <unsure/>
            ſint partes
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            proportionales cylindricorum in eadem altitudine cum ipſis exiſten-
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            tium, quæeunq; </s>
            <s xml:id="echoid-s4531" xml:space="preserve">de cylindricis in huius Coroll. </s>
            <s xml:id="echoid-s4532" xml:space="preserve">Sectionibus 2. </s>
            <s xml:id="echoid-s4533" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4534" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4535" xml:space="preserve">5. </s>
            <s xml:id="echoid-s4536" xml:space="preserve">6.
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            </s>
            <s xml:id="echoid-s4537" xml:space="preserve">& </s>
            <s xml:id="echoid-s4538" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4539" xml:space="preserve">collecta ſunt, eadem & </s>
            <s xml:id="echoid-s4540" xml:space="preserve">pro conicis tamquam collecta recipiemus.</s>
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