Bošković, Ruđer Josip, Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium

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            rum genere unam, quam ex genere poſteriorum, adeoque i
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            -
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            pſam virium naturam plurimos requirere tranſitus ab attractio-
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            nibus ad repulſiones, & </s>
            <s xml:space="preserve">viceverſa, quam paucos, vel nullum.</s>
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          <p>
            <s xml:space="preserve">116. </s>
            <s xml:space="preserve">Sed omiſſa iſta conjecturali argumentatione quadam,
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              <note position="left" xlink:label="note-0104-01" xlink:href="note-0104-01a" xml:space="preserve">Curvam virium
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              propoſitam poſ-
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              fe eſſe ſimpli-
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              cem: in quo
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              ſita ſit curva.
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              rum ſimplici-
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              tas.</note>
            formam curvæ exprimentis vires poſitivo argumento a phæ-
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            nomenis Naturæ deducto nos ſupra determinavimus cum plu-
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            rimis interſectionibus, quæ tranſitus ejuſmodi quamplurimos
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            exhibeant. </s>
            <s xml:space="preserve">Nec ejuſmodi curva debet eſſe e pluribus arcubus
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            temere compaginata, & </s>
            <s xml:space="preserve">compacta: </s>
            <s xml:space="preserve">diximus enim, notum eſſe
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            Geometris, infinita eſſe curvarum genera, quæ ex ipſa natu-
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            ra ſua debeant axem in plurimis ſecare punctis, adeoque & </s>
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            circa ipſum ſinuari; </s>
            <s xml:space="preserve">ſed præter hanc generalem reſponſionem
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            deſumptam a generali curvarum natura, in diſſertatione De
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            Lege Virium in Natura exiſtentium ego quidem directe demon-
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            ſtravi, curvam illius ipſius formæ, cujuſmodi ea eſt, quam
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            in fig. </s>
            <s xml:space="preserve">1. </s>
            <s xml:space="preserve">exhibui, ſimplicem eſſe poſſe, non ex arcubus di-
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            verſarum curvarum compoſitam. </s>
            <s xml:space="preserve">Simplicem autem ejuſmo-
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            di curvam affirmavi eſſe poſſe: </s>
            <s xml:space="preserve">eam enim ſimplicem appello,
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            quæ tota eſt uniformis naturæ, quæ in Analyſi exponi poſſit
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            per æquationem non reſolubilem in plures, e quarum multi-
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            plicatione eadem componatur, cujuſcunque demum ea curva
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            ſit generis, quotcunque habeat flexus, & </s>
            <s xml:space="preserve">contorſiones. </s>
            <s xml:space="preserve">No-
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            bis quidem altiorum generum curvæ videntur minus ſimpli-
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            ces; </s>
            <s xml:space="preserve">quia nimirum noſtræ humanæ menti, uti pluribus oſten-
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            di in diſſertatione De Maris Æſtu, & </s>
            <s xml:space="preserve">in Stayanis Supple-
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            mentis, recta linea videtur omnium ſimpliciſſima, cujus con-
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            gruentiam in ſuperpoſitione intuemur mentis oculis evidentiſ-
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            ſime, & </s>
            <s xml:space="preserve">ex qua una omnem nos homines noſtram derivamus
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            Geometriam; </s>
            <s xml:space="preserve">ac idcirco, quæ lineæ a recta recedunt magis,
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            & </s>
            <s xml:space="preserve">difcrepant, illas habemus pro compoſitis, & </s>
            <s xml:space="preserve">magis ab ea
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            ſimplicitate, quam nobis confinximus, recedentibus. </s>
            <s xml:space="preserve">At ve-
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            ro lineæ continuæ, & </s>
            <s xml:space="preserve">uniformis naturæ omnes in ſe ipſis ſunt
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            æque ſimplices; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">aliud mentium genus, quod cujuſpiam ex
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            ipſis proprietatem aliquam æque evidenter intueretur, ac nos
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            intuemur congruentiam rectarum, illas maxime ſimplices eſſe
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            crederet curvas lineas, ex illa earum proprietate longe alterius-
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            Geometriæ ſibi elementa conficeret, & </s>
            <s xml:space="preserve">ad illam ceteras reſer-
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            ret lineas, ut nos ad rectam referimus; </s>
            <s xml:space="preserve">quæ quidem mentes
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            ſi aliquam ex. </s>
            <s xml:space="preserve">gr. </s>
            <s xml:space="preserve">parabolæ proprietatem intime perſpicerent,
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            atque intuerentur, non illud quærerent, quod noſtri Geometræ
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            quærunt, ut parabolam rectificarent, ſed, ſi ita loqui fas eſt,
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            ut rectam parabolarent.</s>
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          <p>
            <s xml:space="preserve">117. </s>
            <s xml:space="preserve">Et quidem analyſeos ipſius profundiorem cognitionem
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              <note position="left" xlink:label="note-0104-02" xlink:href="note-0104-02a" xml:space="preserve">Problema con-
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              tinens naturam
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              curvæ analyti-
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              ce exprimen-
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              dam.</note>
            requirit ipſa inveſtigatio æquationis, qua poſſit exprimi cur-
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            va ejus formæ, quæ meam exhibet virium legem. </s>
            <s xml:space="preserve">Quamob-
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            rem hic tantummodo exponam conditiones, quas ipſa cur-
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            va habere debet, & </s>
            <s xml:space="preserve">quibus æquatio ibi inventa ſatis </s>
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