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

Table of contents

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[211.] D. SECTIO IV.
Page: 160 (140)
[212.] E. SECTIO V.
Page: 161 (141)
[213.] F. SECTIO VI.
Page: 163 (143)
[214.] G. SECTIO VII.
Page: 164 (144)
[215.] H. SECTIO VIII. ET VLTIMA.
Page: 164 (144)
[216.] COROLLARIVM I.
Page: 165 (145)
[217.] COROLLARIVM II.
Page: 165 (145)
[218.] THE OREMA XVIII. PROPOS. XVIII.
Page: 165 (145)
[219.] THE OREMA XIX. PROPOS. XIX.
Page: 166 (146)
[220.] COROLLARIVM I.
Page: 167 (147)
[221.] COROLLARIVM II.
Page: 167 (147)
[222.] LEMMA.
Page: 168 (148)
[223.] THE OREMA XX. PROPOS. XX.
Page: 168 (148)
[224.] COROLLARIVM.
Page: 169 (149)
[225.] THE OREMA XXI. PROPOS. XXI.
Page: 169 (149)
[226.] COROLLARIVM.
Page: 170 (150)
[227.] THE OREMA XXII. PROPOS. XXII.
Page: 170 (150)
[228.] A. COROLLARII SECTIO I.
Page: 174 (154)
[229.] B. SECTIO II.
Page: 174 (154)
[230.] C. SECTIO III.
Page: 174 (154)
[231.] D. SECTIO IV.
Page: 174 (154)
[232.] E. SECTIO V.
Page: 175 (155)
[233.] F. SECTIO VI.
Page: 175 (155)
[234.] THEOR EMA XXIII. PROPOS. XXIII.
Page: 175 (155)
[235.] A. COROLLARII SECTIO I.
Page: 176 (156)
[236.] B. SECTIO II.
Page: 177 (157)
[237.] C. SECTIO III.
Page: 177 (157)
[238.] D. SECTIO IV.
Page: 177 (157)
[239.] E. SECTIO V.
Page: 177 (157)
[240.] F. SECTIO VI.
Page: 177 (157)
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        <div xml:id="echoid-div628" type="section" level="1" n="364">
          <head xml:id="echoid-head381" xml:space="preserve">COROLL. VI. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s6585" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6586" xml:space="preserve">ſexta, & </s>
            <s xml:id="echoid-s6587" xml:space="preserve">eiuſdem figura apparet ſolidum ſimilare ge-
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              <figure xlink:label="fig-0284-01" xlink:href="fig-0284-01a" number="177">
                <image file="0284-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0284-01"/>
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            nitum ex circulo, vel ellipſi, ABC
              <lb/>
            D, ſiue ſit ſphæra, vel ſphæroides, vel
              <lb/>
            tantum ſolidum ſimilare, ad ſolidum ſibi
              <lb/>
            ſimilare genitum ex altera portionum, B
              <lb/>
            AD, BCD, vtramuis, vtex, BAD,
              <lb/>
            ſiue hoc ſit portio ſphæræ, vel ſphæroi-
              <lb/>
            dis, vel tantum ſolidum ſimilare genitum
              <lb/>
            ex, BAD, eſſe vt parallelepipedum ſub
              <lb/>
            altitudine, XC, baſi quadrato, CA, ad
              <lb/>
            parallelepipedum ſub altitudine, XE, baſi
              <lb/>
            quadrato, EA, vel vt cubus, AC, ad pa-
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            rallelepipedum ſub altitudine tripla, EC,
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            baſi quadrato, AE, cum cubo, AE.</s>
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          <head xml:id="echoid-head382" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s6589" xml:space="preserve">VNde colligitur in Corollario ſolidum ſimilare genitum ex por-
              <lb/>
            tione, BAD, ad ſibi ſimilare genitum ex portione, BCD,
              <lb/>
            eſſe vt parallelepipedum ſub altitudine, XE, baſi quadrato, EA, ad
              <lb/>
            parallelepipedum ſub altitudine, OAE, baſi quadrato, EC, qua-
              <lb/>
            liacunque ſint illa ſolida ſimilaria, ſiue ſit, AC, axis, ſiue tantum
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            diameter.</s>
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        <div xml:id="echoid-div631" type="section" level="1" n="366">
          <head xml:id="echoid-head383" xml:space="preserve">COROLLARIVM VII.</head>
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            <s xml:id="echoid-s6591" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6592" xml:space="preserve">ſeptima colligitur ſoli-
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            dum ſimilare genitum ex portio-
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            ne, BAF, ad ſibi ſim lare genitum ex
              <lb/>
            portione, CAD, ſiue hæciolida ſint
              <lb/>
            portiones ſphærę, vel ſphæroidis, ſiue
              <lb/>
            tantum ſolida ſimilaria, ſiue, AN,
              <lb/>
            ſit axis, ſiue tantum diameter, eſſe vt
              <lb/>
            parallelepipedum ſub altitudine, XE,
              <lb/>
            baſi quadrato, EA, ad parallelepipe-
              <lb/>
            dum ſub altitudine, XM, baſi qua-
              <lb/>
            drato, MA, vt exemplificaturin præ-
              <lb/>
            ſenti ſigura more ſolito.</s>
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