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

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        <div xml:id="echoid-div56" type="section" level="1" n="46">
          <pb o="14" file="0034" n="34" rhead="GEOMETRI Æ"/>
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        <div xml:id="echoid-div57" type="section" level="1" n="47">
          <head xml:id="echoid-head57" xml:space="preserve">XIV.</head>
          <p>
            <s xml:id="echoid-s517" xml:space="preserve">PArallelogrammum dicetur expoſitę cuicumque planę
              <lb/>
            figuræ circumſcriptum, ſi eius ſingula latera tangant
              <lb/>
            dictam figuram, quæ illi pariter dicetur inſcripta.</s>
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        <div xml:id="echoid-div58" type="section" level="1" n="48">
          <head xml:id="echoid-head58" xml:space="preserve">XV.</head>
          <p>
            <s xml:id="echoid-s519" xml:space="preserve">PArallelepipedum dicetur expoſito ſolido circumſcri-
              <lb/>
            prum, ſi eius ſingula plana tangant dictum ſolidum,
              <lb/>
            quod illi pariter dicetur inſcriptum.</s>
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          </p>
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        <div xml:id="echoid-div59" type="section" level="1" n="49">
          <head xml:id="echoid-head59" xml:space="preserve">POSTVLATA</head>
          <head xml:id="echoid-head60" xml:space="preserve">I.</head>
          <p>
            <s xml:id="echoid-s521" xml:space="preserve">QVamlibet rectam lineam indefinitè ita poſſe moueri,
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            vt ſemper vni cuidam fixæ ſit parallela, ſiue in eo-
              <lb/>
            dem, ſiue in plut
              <unsure/>
            ibus planis, in tali motu exiſtat.</s>
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          </p>
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        <div xml:id="echoid-div60" type="section" level="1" n="50">
          <head xml:id="echoid-head61" xml:space="preserve">II.</head>
          <p>
            <s xml:id="echoid-s523" xml:space="preserve">QVodlibet planum indefinitè ita poſſe moueri, vt fem-
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            per vni cuidam fixo ſit æquidiſtans.</s>
            <s xml:id="echoid-s524" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div61" type="section" level="1" n="51">
          <head xml:id="echoid-head62" xml:space="preserve">PROBLEMA I. PROPOS. 1.</head>
          <p>
            <s xml:id="echoid-s525" xml:space="preserve">CViuslibet propoſitæ figuræ planæ, vel ſolidæ, verti-
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            cem inuenire, reſpectu datæ, pro figura plana rectæ
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            lineæ pro ſolida verò, reſpectu dati plani.</s>
            <s xml:id="echoid-s526" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s527" xml:space="preserve">Sit ſigura plana quæcumque, ABC, & </s>
            <s xml:id="echoid-s528" xml:space="preserve">in ea ducta recta linea,
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            BC, oportet reſpectu ipſius, BC, verticem figuræ, ABC, inue-
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              <note position="left" xlink:label="note-0034-01" xlink:href="note-0034-01a" xml:space="preserve">A. Def, 1.</note>
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                <image file="0034-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0034-01"/>
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            nire. </s>
            <s xml:id="echoid-s529" xml:space="preserve">Sumatur in plano figuræ, AB
              <lb/>
            C, indefinitè producto, vtcumq; </s>
            <s xml:id="echoid-s530" xml:space="preserve">pun-
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            ctum, N, & </s>
            <s xml:id="echoid-s531" xml:space="preserve">per, N, ipſi, BC, du-
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            catur parallela, KV, indefinitè hinc
              <lb/>
            inde producta, vel igitur, KV, tan-
              <lb/>
            git figuram, BAC, & </s>
            <s xml:id="echoid-s532" xml:space="preserve">ſic inuentum
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            eſſet, quod quæritur, vel non; </s>
            <s xml:id="echoid-s533" xml:space="preserve">igitur
              <lb/>
            erit, KV, vel intra, vel extra figu-
              <lb/>
            ram, vbicumq; </s>
            <s xml:id="echoid-s534" xml:space="preserve">ſit, moueatur, KV,
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            ſemper manens in eiuſdem figuræ
              <lb/>
              <note position="left" xlink:label="note-0034-02" xlink:href="note-0034-02a" xml:space="preserve">Poſtul. 1.</note>
            plano, & </s>
            <s xml:id="echoid-s535" xml:space="preserve">æquidiſtans ipſi, BC, re-
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            cedendo ab eadem, BC, ſi intra figu-
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            ram reperiebatur, vel accedendo, ſi erat extra, tandem .</s>
            <s xml:id="echoid-s536" xml:space="preserve">n. </s>
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