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

Table of contents

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[21.] COROLL.
[22.] MONITVM.
[23.] PROBL. I. PROP. II.
[24.] ALITER.
[25.] ALITER.
[26.] MONITVM.
[27.] LEMMAI. PROP. III.
[28.] PROBL. II. PROP. IV.
[29.] MONITVM.
[30.] PROBL. III. PROP. V.
[31.] PROBL. IV. PROP. VI.
[32.] PROBL. V. PROP. VII.
[33.] MONITVM.
[34.] THEOR. II. PROP. VIII.
[35.] MONITVM.
[36.] LEMMA II. PROP. IX.
[37.] THEOR. III. PROP. X.
[38.] COROLL. I.
[39.] COROLL. II.
[40.] MONITVM.
[41.] THEOR. IV. PROP. XI.
[42.] COROLL.
[43.] MONITVM.
[44.] LEMMA III. PROP. XII.
[45.] ALITER idem breuiùs.
[46.] ITER VM aliter breuiùs, ſed negatiuè.
[47.] COROLL.
[48.] THEOR. V. PROP. XIII.
[49.] COROLL. I.
[50.] COROLL. II.
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          <head xml:id="echoid-head85" xml:space="preserve">THEOR. XII. PROP. XXII.</head>
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            <s xml:id="echoid-s1607" xml:space="preserve">MAXIMA coni-ſectionum coni-ſectioni per verticem inſcripti-
              <lb/>
            bilium cum recto datæ ſectionis, eſt quoq; </s>
            <s xml:id="echoid-s1608" xml:space="preserve">MAXIMA ſibi ſimilium,
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            eidem ſectioni per verticem inſcriptarum. </s>
            <s xml:id="echoid-s1609" xml:space="preserve">Et è contra.</s>
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            <s xml:id="echoid-s1611" xml:space="preserve">MINIMA coni-ſectionum coni-ſectioni per verticem circum-
              <lb/>
            ſcriptibilium cum recto datæ ſectionis, eſt quoque MINIMA ſibi
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            ſimilium, eidem ſectioni circumſcriptarum.</s>
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            <s xml:id="echoid-s1613" xml:space="preserve">SIt quælibet coni-ſectio ABC, cuius diameter BR, rectum BF, & </s>
            <s xml:id="echoid-s1614" xml:space="preserve">regula
              <lb/>
            GFI, ipſique inſcripta ſit per verticem B, cum recto BF coni-ſectio DB
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            E, quæ erit _MAXIMA_ inſcriptarum (per ea quę in præcedentibus oſtenſum
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            fuit) ſitq; </s>
            <s xml:id="echoid-s1615" xml:space="preserve">huius regula HF. </s>
            <s xml:id="echoid-s1616" xml:space="preserve">Patet has regulas infra contingentem BF in totum
              <lb/>
            eſſe inter ſe diſiunctas, cum ſit altera ſectio alteri inſcripta. </s>
            <s xml:id="echoid-s1617" xml:space="preserve">Iam dico hanc
              <lb/>
            _MAXIMAM_ ſectionem eſſe quoq; </s>
            <s xml:id="echoid-s1618" xml:space="preserve">_MAXIMAM_ ſibi ſimilium, eidem datæ ſe-
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            ctioni per B verticem inſcriptarum.</s>
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