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

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        <div xml:id="echoid-div51" type="section" level="1" n="43">
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            <s xml:id="echoid-s493" xml:space="preserve">
              <pb o="13" file="0033" n="33" rhead="LIBER I."/>
            iangentium, ideſt ipſas, Χ Δ, Υ Ζ, FQ, KL. </s>
            <s xml:id="echoid-s494" xml:space="preserve">Hìsìgitur
              <lb/>
            poſitis, voco ſolida, Γ β 3 Φ, AHBM, ſimilia; </s>
            <s xml:id="echoid-s495" xml:space="preserve">ſiguras verò, F
              <lb/>
              <note position="right" xlink:label="note-0033-01" xlink:href="note-0033-01a" xml:space="preserve">_A. Def. @@._</note>
            GKD, ΧVΥΤ; </s>
            <s xml:id="echoid-s496" xml:space="preserve">dicθ figuras incidentes ſimilium ſolidorum iam
              <lb/>
              <note position="right" xlink:label="note-0033-02" xlink:href="note-0033-02a" xml:space="preserve">_B. Def.
                <gap/>
              _</note>
            dictorum, et oppoſitorum tangentium planorum, ℟ Δ, & </s>
            <s xml:id="echoid-s497" xml:space="preserve">Z; </s>
            <s xml:id="echoid-s498" xml:space="preserve">PQ,
              <lb/>
            Π L; </s>
            <s xml:id="echoid-s499" xml:space="preserve">ipſas autem figuras, β λ, Σ Φ, HE, CM, et eas, quarum
              <lb/>
            extenſa plana ſimiliter ad eandem partem diuidunt altitudines
              <lb/>
            ſolidorum, Γ β 3 Φ, AHBM, reſpectu dictorum tangentium
              <lb/>
            planorum ſumptas, & </s>
            <s xml:id="echoid-s500" xml:space="preserve">ſunt ſimiles, velbinæ ſimiles, & </s>
            <s xml:id="echoid-s501" xml:space="preserve">ſimiliter
              <lb/>
            inter ſe diſpoſitæ, voco figuras homologas dictorum ſolidorum,
              <lb/>
              <note position="right" xlink:label="note-0033-03" xlink:href="note-0033-03a" xml:space="preserve">_C. Def. 11._</note>
            ſumptas, regulis earum duabus, vel dictis tangentibus planis.</s>
            <s xml:id="echoid-s502" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div54" type="section" level="1" n="44">
          <head xml:id="echoid-head54" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s503" xml:space="preserve">_A_Duertendum eſt autem pro ſimilium figurarum nominatione,
              <lb/>
            dum voco eas ſimiles figuras ſiue planas, ſiue ſolidas, me intel-
              <lb/>
            ligere in eis d finitiones generales ſuperius allatas; </s>
            <s xml:id="echoid-s504" xml:space="preserve">dum verò eas
              <lb/>
            particulari nomine appello, intelligere definitiones particulares pro
              <lb/>
            ipſarum ſimilitudine ab alijs, vel à me allatas, vt cum dicam, ſimi-
              <lb/>
            les coni ſectionum portiones, intelligam particularem in eis definitio-
              <lb/>
            nem, & </s>
            <s xml:id="echoid-s505" xml:space="preserve">cum dicam (ſimilta parallelogramma) intelligam in eis par-
              <lb/>
            ticularem definitionem ſimilium rectilinearum figurarum, & </s>
            <s xml:id="echoid-s506" xml:space="preserve">fic in
              <lb/>
            cæteris, licet vtramq; </s>
            <s xml:id="echoid-s507" xml:space="preserve">definitionem tum particularem, tum genera-
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            lem, de eiſdem figuris verificari inferius oſtendemus.</s>
            <s xml:id="echoid-s508" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div55" type="section" level="1" n="45">
          <head xml:id="echoid-head55" xml:space="preserve">XII.</head>
          <p>
            <s xml:id="echoid-s509" xml:space="preserve">CVm fuerint quotcumque magnitudines eiuſdem ge-
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            neris vtcumque diſpoſitæ, prima ad vltimam dicitur
              <lb/>
            habere rationem compoſitam exrationibus primæ ad ſe-
              <lb/>
            cundam, ſecundæ ad tertiam, tertiæ ad quartam, & </s>
            <s xml:id="echoid-s510" xml:space="preserve">ſic de-
              <lb/>
            inceps vſq; </s>
            <s xml:id="echoid-s511" xml:space="preserve">ad vltimam.</s>
            <s xml:id="echoid-s512" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div56" type="section" level="1" n="46">
          <head xml:id="echoid-head56" xml:space="preserve">XIII.</head>
          <p>
            <s xml:id="echoid-s513" xml:space="preserve">CVm vnum, & </s>
            <s xml:id="echoid-s514" xml:space="preserve">idem antecedens ad plura conſequen-
              <lb/>
            tia comparatum fuerit, ſingillatim ad vnumquodq;
              <lb/>
            </s>
            <s xml:id="echoid-s515" xml:space="preserve">comparare idem ad eadem conſequentia ſimul collecta, di-
              <lb/>
            cemus, colligere, vel, colligendo.</s>
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