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

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            <s xml:id="echoid-s109" xml:space="preserve">
              <pb file="0016" n="16"/>
            ſupplementum perlegenti conſtare poterit: </s>
            <s xml:id="echoid-s110" xml:space="preserve">ſatis mihi fuit eorum
              <lb/>
            aliqua certiori tamem, ni fallor ratione, inueſtigare, quæ circi-
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            ter numero pluſquam viginti ennumerari poterunt, præcipuè ſi
              <lb/>
            Archimedea in numero computentur, quinq; </s>
            <s xml:id="echoid-s111" xml:space="preserve">ſcilicet pro ſingulis
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            quatuor Coni ſectionibus, & </s>
            <s xml:id="echoid-s112" xml:space="preserve">amplius alia quædam inferius recẽ-
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            fenda. </s>
            <s xml:id="echoid-s113" xml:space="preserve">Velenim reuolutio fit circa axem dictarum ſectionum, & </s>
            <s xml:id="echoid-s114" xml:space="preserve">
              <lb/>
            ſic fiunt ſolida Archimedea, ex circulo nempe Sphæra, ex parabo-
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            la Conoides parabolicum, ex hyperbola hyperbolicum, & </s>
            <s xml:id="echoid-s115" xml:space="preserve">ex ellip-
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            ſi ſphæroides oblongum, ſeu prloatum. </s>
            <s xml:id="echoid-s116" xml:space="preserve">Velreuolutio fit circa pa-
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            rallelam axi, extra figuram, ſed minimè eandem tangentem con-
              <lb/>
              <note symbol="q." position="left" xlink:label="note-0016-01" xlink:href="note-0016-01a" xml:space="preserve">_Cor. 14._
                <lb/>
              _34.1.3._</note>
            ctitutam, & </s>
            <s xml:id="echoid-s117" xml:space="preserve">ſic ex circulo fit anulus latus circularis, ex para-
              <lb/>
              <note symbol="r" position="left" xlink:label="note-0016-02" xlink:href="note-0016-02a" xml:space="preserve">_Cor. 12._
                <lb/>
              _51.l.4._</note>
            bola ſemianulus latus parabolicus, ex hyperbola hyperbolicus
              <lb/>
              <note symbol="f" position="left" xlink:label="note-0016-03" xlink:href="note-0016-03a" xml:space="preserve">_Cor. 16._
                <lb/>
              _50.l.5._</note>
            (hos Keplerus tanquam montis Aetna cauitatis ſimiles Crate-
              <lb/>
            res vocat) & </s>
            <s xml:id="echoid-s118" xml:space="preserve">ex Ellipſi Anulus latus ellipticus, quemidem Ke-
              <lb/>
              <note symbol="t" position="left" xlink:label="note-0016-04" xlink:href="note-0016-04a" xml:space="preserve">_Cor. 14._
                <lb/>
              _34.l.3._</note>
            plerus, velut ſerto ruſticarum puellarum ſimilem, Anulum arduũ
              <lb/>
              <note symbol="u" position="left" xlink:label="note-0016-05" xlink:href="note-0016-05a" xml:space="preserve">_Cor. 13._
                <lb/>
              _34.l.3._</note>
            appellat. </s>
            <s xml:id="echoid-s119" xml:space="preserve">Velveuolutio fit circa parallelam axi, ac figuram tan-
              <lb/>
            gentem, & </s>
            <s xml:id="echoid-s120" xml:space="preserve">tunc ex circulo fit Anulus ſtrictus circularis, ex pa
              <lb/>
              <note symbol="x" position="left" xlink:label="note-0016-06" xlink:href="note-0016-06a" xml:space="preserve">_Cor. 10._
                <lb/>
              _51.l.4._</note>
            rabola ſemianulus ſtrictus parabolicus, ex hyperbola hyperbo-
              <lb/>
              <note symbol="y" position="left" xlink:label="note-0016-07" xlink:href="note-0016-07a" xml:space="preserve">_Cor. 15._
                <lb/>
              _30.l.5._</note>
            licus, & </s>
            <s xml:id="echoid-s121" xml:space="preserve">tandem ex ellipſi, qui pariter Anulus ſtrictus ellipti-
              <lb/>
              <note symbol="z" position="left" xlink:label="note-0016-08" xlink:href="note-0016-08a" xml:space="preserve">_Cor. 3_
                <lb/>
              _34.l.3._</note>
            cus nuncupatur. </s>
            <s xml:id="echoid-s122" xml:space="preserve">Denique reuolutione facta circa parallelam
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            axi, ſec antemq; </s>
            <s xml:id="echoid-s123" xml:space="preserve">figuram in duas portiones inæquales, ex circuli
              <lb/>
              <note symbol="a" position="left" xlink:label="note-0016-09" xlink:href="note-0016-09a" xml:space="preserve">_Cor. 19._
                <lb/>
              _34.l.3._</note>
            portione maiori fit Malum roſeum, ex minori Malum citrium. </s>
            <s xml:id="echoid-s124" xml:space="preserve">In
              <lb/>
              <note symbol="b" position="left" xlink:label="note-0016-10" xlink:href="note-0016-10a" xml:space="preserve">_Cor. 20._
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              _& 22 34._
                <lb/>
              _l.2._</note>
            ellipſi verò ex maiori Malum cotoneum, & </s>
            <s xml:id="echoid-s125" xml:space="preserve">ex minori fit Oli-
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            ua. </s>
            <s xml:id="echoid-s126" xml:space="preserve">Exparabolæ portione maiori fit Accruus maior paraboli-
              <lb/>
              <note symbol="c" position="left" xlink:label="note-0016-11" xlink:href="note-0016-11a" xml:space="preserve">_Cor, 21,_
                <lb/>
              _51.l.4._</note>
            cus, ex minori Aceruus minor: </s>
            <s xml:id="echoid-s127" xml:space="preserve">Ex hyperbola portione maiori
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            fit Aceruus maior hyperbolicus, ex minori Aceruus minor.
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            </s>
            <s xml:id="echoid-s128" xml:space="preserve">
              <note symbol="d" position="left" xlink:label="note-0016-12" xlink:href="note-0016-12a" xml:space="preserve">_Cor. 24._
                <lb/>
              _51.l.4._</note>
            Hos autem Aceruos minores parabolicos, & </s>
            <s xml:id="echoid-s129" xml:space="preserve">hyperbolicos, idem
              <lb/>
              <note symbol="e" position="left" xlink:label="note-0016-13" xlink:href="note-0016-13a" xml:space="preserve">_Parabo-_
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              _licis con-_
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              _formiter._</note>
            Keplerus cornibus rectis ſimiles exiſtimat, quorum alia ſunt acu-
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            ta, & </s>
            <s xml:id="echoid-s130" xml:space="preserve">alia obtuſa, vt in pecudibus, quando primum, inquit, cor-
              <lb/>
              <note symbol="f" position="left" xlink:label="note-0016-14" xlink:href="note-0016-14a" xml:space="preserve">_Paraboli_
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              _cis cõfor-_
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              _miter._</note>
            mbus coniſcunt. </s>
            <s xml:id="echoid-s131" xml:space="preserve">Hæc verò ſunt ſolida numero viginti, quibus
              <lb/>
            etiam Anulus ſtrictus ellipticus altera parte latior, & </s>
            <s xml:id="echoid-s132" xml:space="preserve">Anulus
              <lb/>
              <note symbol="g" position="left" xlink:label="note-0016-15" xlink:href="note-0016-15a" xml:space="preserve">_Cor. 28._
                <lb/>
              _34.l.3._</note>
            latus ellipticus alteraparte flrictior, addipoſſunt, quem Keple-
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            rus Tiara, ſeu Globo Turcico ſimilem putat, necnon ea ſolida, quæ
              <lb/>
              <note symbol="h" position="left" xlink:label="note-0016-16" xlink:href="note-0016-16a" xml:space="preserve">_Cor 29._
                <lb/>
              _34.l.3._</note>
            ex ſectionibus oppoſitis ariuntur, ſeu præfaia videntur conco-
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              <note symbol="i" position="left" xlink:label="note-0016-17" xlink:href="note-0016-17a" xml:space="preserve">_Cor. 21._
                <lb/>
              _30.l.5._</note>
            mitantia. </s>
            <s xml:id="echoid-s133" xml:space="preserve">Hæc inquam ſunt, quæ ex ennumeratis ab ipſo ex-
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            cerpſimus examinanda, à quo præter aliqua nomina nibil aliud </s>
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