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

Table of handwritten notes

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            omnia materiæ puncta vim quandam mutuam, quæ a diſtantiis pendet,
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            & </s>
            <s xml:space="preserve">mutatis diſtantiis mutatur ita, ut in aliis attractiva ſit, in aliis re-
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            pulſiva, ſed certa quadam, & </s>
            <s xml:space="preserve">continua lege. </s>
            <s xml:space="preserve">Leges ejuſmodi variationis
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            binarum quantitatum a ſe invicem pendentium, uti hic ſunt diſtantia,
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            & </s>
            <s xml:space="preserve">vis, exprimi poſſunt vel per analyticam formulam, vel per geometri-
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            cam curvam; </s>
            <s xml:space="preserve">ſed illa prior expreſſio & </s>
            <s xml:space="preserve">multo plures cognitiones requirit
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            ad Algebram pertinentes, & </s>
            <s xml:space="preserve">imaginationem non ita adjuvat, ut hæc po-
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            ſterior, qua idcirco ſum uſus in ipſa prima operis parte, rejecta in Sup-
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            plementa formula analytica, quæ & </s>
            <s xml:space="preserve">curvam, & </s>
            <s xml:space="preserve">legem virium ab illa
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            expreſſam exhibeat.</s>
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            <s xml:space="preserve">Porro huc res omnis reducitur. </s>
            <s xml:space="preserve">Habetur in recta indefinita, quæ axis
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            dicitur, punctum quoddam, a quo abſciſſa ipſius rectæ ſegmenta referunt
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            diſtantias. </s>
            <s xml:space="preserve">Curva linea protenditur ſecundum rectam ipſam, circa quam
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            etiam ſerpit, & </s>
            <s xml:space="preserve">eandem in pluribus ſecat punctis: </s>
            <s xml:space="preserve">rectæ a fine ſegmen-
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            torum erectæ perpendiculariter uſque ad curvam, exprimunt vires, quæ
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            majores ſunt, vel minores, prout ejuſmodi rectæ ſunt itidem majores,
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            vel minores; </s>
            <s xml:space="preserve">ac eædem ex attractivis migrant in repulſivas, vel vice ver-
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            ſa, ubi illæ ipſæ perpendiculares rectæ directionem mutant, curva ab al-
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            tera axis indefiniti plaga migrante ad alteram. </s>
            <s xml:space="preserve">Id quidem nullas requi-
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            rit geometricas demonſtrationes, ſed meram cognitionem vocum quarun-
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            dam, quæ vel ad prima pertinent Geometriæ elementa, & </s>
            <s xml:space="preserve">notiſſimæ ſunt,
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            vel ibi explicantur, ubi adhibentur. </s>
            <s xml:space="preserve">Notiſſima autem etiam eſt ſignifica-
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            tio vocis Aſymptotus, unde & </s>
            <s xml:space="preserve">crus aſymptoticum curvæ appellatur: </s>
            <s xml:space="preserve">di-
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            citur nimirum recta aſymptotus cruris cujuſpiam curvæ, cum ipſa recta
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            in infinitum producta, ita ad curvilineum arcum productum itidem in
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            infinitum ſemper accedit magis, ut diſtantia minuatur in infinitum, ſed
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            nuſquam penitus evaneſcat, illis idcirco nunquam invicem convenientibus.</s>
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            <s xml:space="preserve">Conſideratio porro attenta curvæ propoſitæ in fig. </s>
            <s xml:space="preserve">I, & </s>
            <s xml:space="preserve">rationis, qua
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            per illam exprimitur nexus inter vires, & </s>
            <s xml:space="preserve">diſtantias, eſt utique admo-
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            dum neceſſaria ad intelligendam Theoriam ipſam, cujus ea eſt præcipua
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            quædam veluti clavis, ſine qua omnino incaſſum tentarentur cetera: </s>
            <s xml:space="preserve">ſed
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            & </s>
            <s xml:space="preserve">ejuſmodi eſt, ut tironum, & </s>
            <s xml:space="preserve">ſane etiam mediocrium, immo etiam lon-
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            ge infra mediocritatem collocatorum, captum non excedat, potiſſimum ſi
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            viva accedat Profeſſoris vox mediocriter etiam verſati in Mechanica, cu-
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            jus ope, pro certo habeo, rem ita patentem omnibus reddi poſſe, ut ii
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            etiam, qui Geometriæ penitus ignari ſunt, paucorum admodum </s>
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