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

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              <pb o="477" file="0497" n="497" rhead="LIBER VI."/>
            definitè producta, continuentur à puncto, D, parallelogrammor@m re-
              <lb/>
            ctangulorum, in eademq; </s>
            <s xml:id="echoid-s12216" xml:space="preserve">altitudine exiſtentium, æquales baſes, ijſq;
              <lb/>
            </s>
            <s xml:id="echoid-s12217" xml:space="preserve">bifariam ſectis, ab effectis punctis educantur parallelogrammorum di-
              <lb/>
            ctorum diametri, circa quas exiſtant aliæ planæ figuræ eius conditio-
              <lb/>
            nis, vt ducta quacunq; </s>
            <s xml:id="echoid-s12218" xml:space="preserve">parallela. </s>
            <s xml:id="echoid-s12219" xml:space="preserve">AD, illius portiones in his figuris
              <lb/>
            conceptæſint æquales, tum anuli deſoripti à dictis parallelogrammis
              <lb/>
            ſe habebunt vt numeri impares ab vnitate deinceps expoſiti, tum etiã
              <lb/>
            anuli geniti à prædictis figuris: </s>
            <s xml:id="echoid-s12220" xml:space="preserve">Etenim iſti anuli deinceps ſe habe-
              <lb/>
            bunt, vt quedratum primæ æqualium rectarum linearum, in ipſa, D
              <lb/>
            A, aſſumptarum, & </s>
            <s xml:id="echoid-s12221" xml:space="preserve">exceſſus quadratorum deinceps ſubſequentium
              <lb/>
            æqualium linearum, vt facilè innoteſcet, ſi in memoriam reuocentur,
              <lb/>
            quæ dicta ſunt in Coroll. </s>
            <s xml:id="echoid-s12222" xml:space="preserve">29. </s>
            <s xml:id="echoid-s12223" xml:space="preserve">34. </s>
            <s xml:id="echoid-s12224" xml:space="preserve">Lib. </s>
            <s xml:id="echoid-s12225" xml:space="preserve">3. </s>
            <s xml:id="echoid-s12226" xml:space="preserve">pro ibi conſideratis figuris,
              <lb/>
            quibus hæc quoq; </s>
            <s xml:id="echoid-s12227" xml:space="preserve">adaptantur.</s>
            <s xml:id="echoid-s12228" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1122" type="section" level="1" n="672">
          <head xml:id="echoid-head702" xml:space="preserve">COROLLARIVM III.</head>
          <p style="it">
            <s xml:id="echoid-s12229" xml:space="preserve">_M_Anifeſtum etiam eſt nos poſſe iuxta ſupradictam metbodum
              <lb/>
            cætera ſolida attentare, vt e adem dato cylindro tum æqualia,
              <lb/>
            tum etiam in data ratione inueniamus, veluti ex. </s>
            <s xml:id="echoid-s12230" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s12231" xml:space="preserve">baſim columna-
              <lb/>
            rem ſtr ictam, latam, ac med am, Malum Roſeum, Citrium, & </s>
            <s xml:id="echoid-s12232" xml:space="preserve">reliqua,
              <lb/>
            quæ in Sect. </s>
            <s xml:id="echoid-s12233" xml:space="preserve">3. </s>
            <s xml:id="echoid-s12234" xml:space="preserve">Cor. </s>
            <s xml:id="echoid-s12235" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12236" xml:space="preserve">Prop. </s>
            <s xml:id="echoid-s12237" xml:space="preserve">25. </s>
            <s xml:id="echoid-s12238" xml:space="preserve">huius enumerantur, vt ſubinde cui-
              <lb/>
            libet ex conſideratis in hoc volumine ſolidis inueniamus ex genere
              <lb/>
            cuiuslibet nedum æquale, ſed etiam in data ratione, quæ omnia ſingil.
              <lb/>
            </s>
            <s xml:id="echoid-s12239" xml:space="preserve">latim proſequi minimè volui, tum ad vitandam prolixitatem, tum
              <lb/>
            etiam, vt alijs iucundi exercitij occaſionem non eripiam, veluti, & </s>
            <s xml:id="echoid-s12240" xml:space="preserve">
              <lb/>
            centri grauitatis nouorum ſolidorum inuentionem, nemini, quod ſciã
              <lb/>
            adhuc tentatam, alijs pro nunc relinquam, ſufficiat enim in præſenti
              <lb/>
            prædicta ſolida inueniendi rationem aliqualiter declaraſſe, centriq; </s>
            <s xml:id="echoid-s12241" xml:space="preserve">
              <lb/>
            grauitatis dictorum ſolidorum inueſtigandi materiam præbuiſſe.</s>
            <s xml:id="echoid-s12242" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1123" type="section" level="1" n="673">
          <head xml:id="echoid-head703" xml:space="preserve">SCHOLIVM.</head>
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            <s xml:id="echoid-s12243" xml:space="preserve">_A_Duertendum eſt autem circa ſupradicta ſolida, quorum menſurã
              <lb/>
            præcisè non inuenimus, vt ex. </s>
            <s xml:id="echoid-s12244" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12245" xml:space="preserve">patet de apicibus ſphærali-
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            bus, tympanis, anulis, & </s>
            <s xml:id="echoid-s12246" xml:space="preserve">alijs plurimis, neq; </s>
            <s xml:id="echoid-s12247" xml:space="preserve">inuentionem prædictam
              <lb/>
            eſſe, vel fore præciſam, non tamen aſpernendam, cum proximè ad ve-
              <lb/>
            ritatem accedat.</s>
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