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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            <s xml:id="echoid-s388" xml:space="preserve">
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            natim ductę DE ęquidiſtans. </s>
            <s xml:id="echoid-s389" xml:space="preserve">Patet hic ipfam FL ſectionem contingere in L, F
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            per 17. </s>
            <s xml:id="echoid-s390" xml:space="preserve">primi conic. </s>
            <s xml:id="echoid-s391" xml:space="preserve">(quæ huic aptè præponi poterat, cum ipſa, ope tan-
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            tum præcedentium ſeptimæ, & </s>
            <s xml:id="echoid-s392" xml:space="preserve">decimæ eiuſdem Librl
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            demonſtretur). </s>
            <s xml:id="echoid-s393" xml:space="preserve">Su-
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            matur præterea in ſectione quodlibet punctum M, per quod agatur MN
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            æquidiſtans ipſi DE, vel FL, & </s>
            <s xml:id="echoid-s394" xml:space="preserve">producta conueniat in prima figura cum LV
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            parallela ad FG, in reliquis verò cum iuncta HL in X; </s>
            <s xml:id="echoid-s395" xml:space="preserve">& </s>
            <s xml:id="echoid-s396" xml:space="preserve">per L, X ipſi F N
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            æquidiſtantes ducantur LO, XP. </s>
            <s xml:id="echoid-s397" xml:space="preserve">Dico lineam MN poſſe rectangulum ſub
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            FN, & </s>
            <s xml:id="echoid-s398" xml:space="preserve">NO
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            , quod quidem adiacet lineæ quarto loco inu
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            entæ FL, latitudinẽ
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            habens FN in prima figura, in ſecunda verò prædictum
              <unsure/>
            rectangulum exce-
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            dens, & </s>
            <s xml:id="echoid-s399" xml:space="preserve">in tertia, & </s>
            <s xml:id="echoid-s400" xml:space="preserve">quarta ab eo deficiens rectangulo ſub LO, & </s>
            <s xml:id="echoid-s401" xml:space="preserve">OX ſimili
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            ei, quod ſub HF, & </s>
            <s xml:id="echoid-s402" xml:space="preserve">FL continetur.</s>
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