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

Table of handwritten notes

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            plano, quorum communis ſectio F G vel alterutri laterum trianguli per
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            axem, nempe AC æquidiſtet, vt in prima figura, vel cum vtroque latere in
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            F, H, extra verticem coni, vt in ſecunda; </s>
            <s xml:id="echoid-s381" xml:space="preserve">ſiue infra verticem, vt in tertia, & </s>
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            quarta conueniat, & </s>
            <s xml:id="echoid-s383" xml:space="preserve">ſecans planum baſi non æquidiſtet, faciatque ſectio-
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            nem in ſuperficie coni lineam MFT, & </s>
            <s xml:id="echoid-s384" xml:space="preserve">communis ſectio plani ſecantis, atq;
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            </s>
            <s xml:id="echoid-s385" xml:space="preserve">eius in quo eſt baſis coni ſit DGE perpendicularis ad baſim trianguli per axẽ
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            BC, vel ad eam, quæ indirectum ipſi conſtituitur, vt in quarta figura; </s>
            <s xml:id="echoid-s386" xml:space="preserve">& </s>
            <s xml:id="echoid-s387" xml:space="preserve">fiat
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            in prima figura, vt quadratum FG, in reliquis verò, vt rectangulum HGF,
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              <figure xlink:label="fig-0023-01" xlink:href="fig-0023-01a" number="2">
                <image file="0023-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0023-01"/>
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            ad rectangulum BGC, ita linea HF, ſegmentum diam etri ſectionis, ad aliam
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            FL, quæ (facilitatis, & </s>
            <s xml:id="echoid-s388" xml:space="preserve">commoditatis gratia tantùm ad ea, quæ à nobis in po-
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            ſterum ſunt pertractanda, non quod hanc, vel aliam poſitionem requirat
              <lb/>
            propoſiti demonſtratio, poteſt enim ipſa FL cum diametro FH, ad quemcun-
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            que angulum conſtitui) concipiatur applicari ex F, ſectionis vertice, </s>
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