Viviani, Vincenzo, De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei

Table of contents

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[331.] SCHOLIVM.
[332.] THEOR. XLVI. PROP. LXXIII.
[333.] THEOR. XLVII. PROP. LXXIV.
[334.] MONITVM.
[335.] LEMMA XIV. PROP. LXXV.
[336.] SCHOLIVM.
[337.] LEMMA XV. PROP. LXXVI.
[338.] THEOR. XLVIII. PROP. LXXVII.
[339.] MONITVM.
[340.] THEOR. IL. PROP. LXXVIII.
[341.] ALITER.
[342.] COROLL. I.
[343.] COROLL. II.
[344.] THEOR. L. PROP. LXXIX.
[345.] THEOR. LI. PROP. LXXX.
[346.] SCHOLIVM.
[347.] THEOR. LII. PROP. LXXXI.
[348.] SCHOLIVM.
[349.] PROBL. XV. PROP. LXXXII.
[350.] COROLL.
[351.] THEOR. LIII. PROP. LXXXIII.
[352.] THEOR. LIV. PROP. LXXXIV.
[353.] THEOR. LV. PROP. LXXXV.
[354.] THEOR. LVI. PROP. LXXXVI.
[355.] THEOR. LVII. PROP. LXXXVII.
[356.] THEOR. LVIII. PROP. LXXXVIII.
[357.] THEOR. LIX. PROP. LXXXIX.
[358.] THEOR. LX. PROP. LXXXX.
[359.] COROLL.
[360.] SCHOLIV M.
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            <s xml:id="echoid-s9456" xml:space="preserve">
              <pb o="154" file="0340" n="340" rhead=""/>
            & </s>
            <s xml:id="echoid-s9457" xml:space="preserve">N; </s>
            <s xml:id="echoid-s9458" xml:space="preserve">aggregatum triangulorum A F B, D F C, æquale eſſe aggregato
              <lb/>
            triangulorum A M B, N M C.</s>
            <s xml:id="echoid-s9459" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9460" xml:space="preserve">Quoniam cum ſit vt B F ad F H, ita F H, vel F C ad F I, erit B I aggre-
              <lb/>
            gatum extremarum B F, F I, poſt B F, F C. </s>
            <s xml:id="echoid-s9461" xml:space="preserve">Item cum ſit B M ad M L, vt
              <lb/>
            M L, vel M C ad M I, erit idem BI aggregatum extremarum B M, M I,
              <lb/>
            poſt B M, M C; </s>
            <s xml:id="echoid-s9462" xml:space="preserve">ſed aggregatum triangulorum ad F ad triangulum A B C
              <lb/>
              <figure xlink:label="fig-0340-01" xlink:href="fig-0340-01a" number="272">
                <image file="0340-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0340-01"/>
              </figure>
            (iuncta A C) eſt vt aggregatum extremarum poſt B F, F C ad B C, &</s>
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              <note symbol="*" position="left" xlink:label="note-0340-01" xlink:href="note-0340-01a" xml:space="preserve">8. App.</note>
            aggregatum triangulorum ad M ad idem triangulum A B C eſt vt aggrega-
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            tum extremarum poſt B M, M C ad eandem B C, ſuntque prædicta extre-
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            marum aggregata inter ſe æqualia, cum vtrinque conficiant eandem B I,
              <lb/>
            quare, & </s>
            <s xml:id="echoid-s9464" xml:space="preserve">aggregatum triangulorum A F B, D F C, æquale erit aggregato
              <lb/>
            triangulorum A M B, N M C. </s>
            <s xml:id="echoid-s9465" xml:space="preserve">Quod faciendum erat.</s>
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        <div xml:id="echoid-div980" type="section" level="1" n="398">
          <head xml:id="echoid-head409" xml:space="preserve">APPENDICIS
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          FINIS.</head>
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