Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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          <head xml:id="echoid-head175" xml:space="preserve">VI.
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          C. H. Z. DE PROBLEMATE
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          BERNOULLIANO
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          IN
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          ACTIS LIPSIENSIBUS
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          PROPOSITO.</head>
          <p>
            <s xml:id="echoid-s5146" xml:space="preserve">ELegans inprimis eſſe hoc Problema, cum ex iis
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            quæ Clariſſimus inventor de eo prodidit, tum
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            ex ſolutione & </s>
            <s xml:id="echoid-s5147" xml:space="preserve">commentatione fraterna mani-
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            feſtum eſt. </s>
            <s xml:id="echoid-s5148" xml:space="preserve">A quo inveſtigando cum propter
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            inſignem difficultatem, quæ ſtatim ſeſe offerebat, abſtinere
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            ſtatuerim (neque enim omnibus perquirendis, quæ à Viris
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            eruditis exercitii gratia proponuntur, incumbere neceſſe exi-
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            ſtimo, aut aſſequendis parem me profiteor) non deſiit
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            tamen quaſi invitum compellere recurrens identidem quæ-
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            ſiti non vulgaris idea, donec tandem quod deſiderabam
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            obtinui. </s>
            <s xml:id="echoid-s5149" xml:space="preserve">Inventa nimirum æquatione differentiali, in qua
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            ex altera parte erat elementum trapezii hyperbolici, ab
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            aſymptoto perpendicularibus intercepti; </s>
            <s xml:id="echoid-s5150" xml:space="preserve">ab altera elemen-
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            tum ſpatii curvilinei, quod itidem ad trapezium hyper-
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            bolicum reduci poſſet. </s>
            <s xml:id="echoid-s5151" xml:space="preserve">Quod apertius exponerem, niſi
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            relinquendam etiamnum aliis putarem inquirendi volupta-
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            tem. </s>
            <s xml:id="echoid-s5152" xml:space="preserve">Inde eo rem deducebam, ut trapezium ejuſmodi
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            hyperbolicum ſecandum eſſet aut augendum ſecundum ra-
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            tionem datam. </s>
            <s xml:id="echoid-s5153" xml:space="preserve">Quod cum per medias aut continue </s>
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