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

Table of contents

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[51.] COROLL. III.
[52.] THEOR. VI. PROP. XIV.
[53.] COROLLARIVM.
[54.] THEOR. VII. PROP. XV.
[55.] THEOR. VIII. PROP. XVI.
[56.] THEOR. IX. PROP. XVII.
[57.] MONITVM.
[58.] THEOR. X. PROP. XVIII.
[59.] Definitiones Secundæ. I.
[60.] II.
[61.] III.
[62.] IV.
[64.] VI.
[65.] VII.
[66.] VIII.
[67.] IX.
[68.] THEOR. XI. PROP. XIX.
[69.] COROLL. I.
[70.] COROLL. II.
[71.] COROLL. III.
[72.] COROLL. IV.
[73.] COROLL. V.
[74.] COROLL. VI.
[75.] PROBL. VI. PROP. XX.
[76.] COROLL. I.
[77.] COROLL. II.
[78.] PROBL. VII. PROP. XXI.
[79.] MONITVM.
[80.] THEOR. XII. PROP. XXII.
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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
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            GFI, ipſique inſcripta ſit per verticem B, cum recto BF coni-ſectio DB
              <lb/>
            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
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            _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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