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

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              <pb o="31" file="0083" n="83" rhead="PARS PRIMA."/>
            hoc, ut ſecundum argumentum pro continuitatis lege ſuperius
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            allatum vim habeat ſuam, nec ab una velocitate ad alteram
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            abiri poſſit ſine tranſitu per intermedias.</s>
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          <p>
            <s xml:space="preserve">67. </s>
            <s xml:space="preserve">Patet autem, hinc illud evinci, nec interire momento
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              <note position="right" xlink:label="note-0083-01" xlink:href="note-0083-01a" xml:space="preserve">Non poſſe mo-
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              mento tempo-
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              ris tranſiri ab
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              una velocitate
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              ad aliam, de-
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              monſtratur, &
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              vindicatur.</note>
            temporis poſſe, nec oriri velocitatem totam corporis, vel pun-
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            cti non ſimul intereuntis, vel orientis, nec huc transferri poſ-
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            ſe, quod de creatione, & </s>
            <s xml:space="preserve">morte diximus; </s>
            <s xml:space="preserve">cum nimirum ipſa
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            velocitas nulla corporis, vel puncti exiſtentis, ſit non purum
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            nihil, ut monui, ſed realis quidam ſtatus, qui ſimul cum alio
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            reali ſtatu determinatæ illius intereuntis, vel orientis velocita-
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            tis deberet conjungi; </s>
            <s xml:space="preserve">unde etiam fit, ut nullum effugium ha-
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            beri poſſit contra ſuperiora argumenta, dicendo, quando a 12
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            gradibus velocitatis tranſitur ad 9, durare utique priores 9, & </s>
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            interire reliquos tres, in quo nullum abſurdum ſit, cum nec
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            in illorum duratione habeatur ſaltus, nec in ſaltu per interi-
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            tum habeatur abſurdi quidpiam, ejus exemplo, quod ſuperius
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            dictum fuit, ubi oſtenſum eſt, non conjungi non eſſe ſimul, & </s>
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            eſſe. </s>
            <s xml:space="preserve">Nam in primis 12 gradus velocitatis non ſunt quid com-
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            poſitum e duodecim rebus inter ſe diſtinctis, atque disjunctis,
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            quarum 9 manere poſſint, 3 interire, ſed ſunt unica determi-
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            natio ad exiſtendum in punctis ſpatii diſtantibus certo inter-
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            vallo, ut palmorum 12, elapſis datis quibuſdam temporibus
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            æqualibus quibuſvis. </s>
            <s xml:space="preserve">Sic etiam in ordinatis GD, HE, quæ
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            exprimunt velocitates in fig. </s>
            <s xml:space="preserve">6, revera, in mea potiſſimum
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            Theoria, ordinata GD non eſt quædam pars ordinatæ HE
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            communis ipſi uſque ad D, ſed ſunt duæ ordinatæ quarum
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            prima conſiſtit in relatione diſtantiæ, puncti curvæ D a pun-
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            cto axis G, ſecunda in relatione puncti curvæ E a puncto axis
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            H, quod eſt ibi idem, ac punctum G. </s>
            <s xml:space="preserve">Relationem diſtantiæ
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            punctorum D, & </s>
            <s xml:space="preserve">G conſtituunt duo reales modi exiſtendi ip-
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            ſorum, relationem diſtantiæ punctorum D, & </s>
            <s xml:space="preserve">E duo reales
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            modi exiſtendi ipſorum, & </s>
            <s xml:space="preserve">relationem diſtantiæ punctorum H,
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            & </s>
            <s xml:space="preserve">E duo reales modi exiſtendi ipſorum. </s>
            <s xml:space="preserve">Hæc ultima relatio
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            conſtat duobus modis realibus tantummodo pertinentibus ad
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            puncta E, & </s>
            <s xml:space="preserve">H, vel G, & </s>
            <s xml:space="preserve">ſumma priorum conſtat modis
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            realibus omnium trium, E, D, G. </s>
            <s xml:space="preserve">Sed nos indefinite conci-
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            pimus poſſibilitatem omnium modorum realium intermediorum,
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            ut infra dicemus, in qua præciſiva, & </s>
            <s xml:space="preserve">indefinita idea ſtat mi-
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            hi idea ſpatii continui; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">intermedii modi poſſibiles inter G,
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            & </s>
            <s xml:space="preserve">D ſunt pars intermediorum inter E, & </s>
            <s xml:space="preserve">H. </s>
            <s xml:space="preserve">Præterea omiſ-
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            ſis etiam hiſce omnibus ipſe ille ſaltus a velocitate finita ad
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            nullam, vel a nulla ad finitam, haberi non poteſt.</s>
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            <s xml:space="preserve">68. </s>
            <s xml:space="preserve">Atque hinc ego quidem potuiſſem etiam adhibere duos
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              <note position="right" xlink:label="note-0083-02" xlink:href="note-0083-02a" xml:space="preserve">Cur adhibita
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              colliſio pergen-
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              tium in eandem
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              plagam pro The-
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              oria deducenda.</note>
            globos æquales, qui ſibi invicem occurrant cum velocitatibus
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            æqualibus, quæ nimirum in ipſo contactu deberent momento
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            temporis interire; </s>
            <s xml:space="preserve">ſed ut haſce ipſas conſiderationes evitarem
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            de tranſitu a ſtatu reali ad ſtatum itidem realem, ubi a velo-
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            citate aliqua tranſitur ad velocitatem nullam; </s>
            <s xml:space="preserve">adhibui </s>
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