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

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            <s xml:space="preserve">43. </s>
            <s xml:space="preserve">Eodem igitur pacto in lege ipſa continuitatis agendum
              <lb/>
              <note position="left" xlink:label="note-0072-01" xlink:href="note-0072-01a" xml:space="preserve">Similis ad
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              continuitatem:
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              duo caſuum ge-
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              nera, in quibus
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              ea videatur læ-
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              di.</note>
            eſt. </s>
            <s xml:space="preserve">Illa tam ampla inductio, quam habemus, debet nos mo-
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            vere ad illam generaliter admittendam etiam pro iis caſibus,
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            in quibus determinare immediate per obſervationes non poſſu-
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            mus, an eadem habeatur, uti eſt colliſio corporum; </s>
            <s xml:space="preserve">ac ſi
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            ſunt caſus nonnulli, in quibus eadem prima fronte violari
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            videatur; </s>
            <s xml:space="preserve">ineunda eſt ratio aliqua, qua ipſum phænomenum
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            cum ea lege conciliari poſſit, uti revera poteſt. </s>
            <s xml:space="preserve">Nonnullos
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            ejuſmodi caſus protuli in memoratis diſſertationibus, quorum
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            alii ad geometricam continuitatem pertinent, alii ad phyſi-
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            cam. </s>
            <s xml:space="preserve">In illis prioribus non immorabor; </s>
            <s xml:space="preserve">neque enim geome-
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            trica continuitas neceſſaria eſt ad hanc phyſicam propugnan-
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            dam, ſed eam ut exemplum quoddam ad confirmationem
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            quandam inductionis majoris adhibui. </s>
            <s xml:space="preserve">Poſterior, ut ſæpe & </s>
            <s xml:space="preserve">
              <lb/>
            illa prior, ad duas claſſes reducitur: </s>
            <s xml:space="preserve">altera eſt eorum caſuum,
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            in quibus ſaltus videtur committi idcirco, quia nos per ſaltum
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            omittimus intermedias quantitates: </s>
            <s xml:space="preserve">rem exemplo geometrico
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            illuſtro, cui phyſicum adjicio.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">44. </s>
            <s xml:space="preserve">In axe curvæ cujuſdam in fig. </s>
            <s xml:space="preserve">4. </s>
            <s xml:space="preserve">ſumantur ſegmenta
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              <note position="left" xlink:label="note-0072-02" xlink:href="note-0072-02a" xml:space="preserve">Fig. 4.</note>
            AC, CE, EG æqualia, & </s>
            <s xml:space="preserve">erigantur ordinatæ AB, CD, EF,
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              <note position="left" xlink:label="note-0072-03" xlink:href="note-0072-03a" xml:space="preserve">Exemplum
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              geometricum
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              primi generis,
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              ubi nos inter-
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              medias magni-
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              tudines omitti-
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              mus.</note>
            GH. </s>
            <s xml:space="preserve">Areæ B A C D, D C E F, F E G H videntur continuæ
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            cujuſdam ſeriei termini ita, ut ab illa B A C D ad DCEF,
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            & </s>
            <s xml:space="preserve">inde ad FEGH immediate tranſeatur, & </s>
            <s xml:space="preserve">tamen ſecunda a
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            prima, ut & </s>
            <s xml:space="preserve">tertia a ſecunda, differunt per quantitates finitas:
              <lb/>
            </s>
            <s xml:space="preserve">ſi enim capiantur CI, EK æquales BA, DC, & </s>
            <s xml:space="preserve">arcus BD
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            transſeratur in IK; </s>
            <s xml:space="preserve">area DIKF erit incrementum ſecundæ ſu-
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            pra primam, quod videtur immediate advenire totum abſque
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            eo, quod unquam habitum ſit ejus dimidium, vel quævis alia
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            pars incrementi ipſius; </s>
            <s xml:space="preserve">ut idcirco a prima ad ſecundam ma-
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            gnitudinem areæ itum ſit ſine tranſitu per intermedias. </s>
            <s xml:space="preserve">At ibi
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            omittuntur a nobis termini intermedii, qui continuitatem ſer-
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            vant; </s>
            <s xml:space="preserve">ſi enim a c æqualis A C motu continuo feratur ita,
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            ut incipiendo ab AC deſinat in CE; </s>
            <s xml:space="preserve">magnitudo areæ BACD
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            per omnes intermedias bacd abit in magnitudinem D C E F
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            ſine ullo ſaltu, & </s>
            <s xml:space="preserve">ſine ulla violatione continuitatis.</s>
            <s xml:space="preserve"/>
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          <p>
            <s xml:space="preserve">45. </s>
            <s xml:space="preserve">Id ſane ubique accidit, ubi initium ſecundæ magnitudi-
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              <note position="left" xlink:label="note-0072-04" xlink:href="note-0072-04a" xml:space="preserve">Quando id ac-
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              cidat: exem-
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              pla phyſica die-
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              rum, & oſcil-
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              lationum con-
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              ſequentium.</note>
            nis aliquo intervallo diſtat ab initio primæ; </s>
            <s xml:space="preserve">ſive ſtatim veniat
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            poſt ejus finem, ſive quavis alia lege ab ea disjungatur. </s>
            <s xml:space="preserve">Sic in
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            phyſicis, ſi diem coneipiamus intervallum temporis ab occaſu
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            ad occaſum, vel etiam ab ortu ad occaſum, dies præcedens a
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            ſequenti quibuſdam anni temporibus differt per plura ſecunda,
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            ubi videtur fieri ſaltus ſine ullo intermedio die, qui minus dif-
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            ferat. </s>
            <s xml:space="preserve">At ſeriem quidem continuam ii dies nequaquam con-
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            ſtituunt. </s>
            <s xml:space="preserve">Concipiatur parallelus integer Telluris, in quo ſunt
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            continuo ductu diſpoſita loca omnia, quæ eandem latitu-
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            dinem geographicam habent: </s>
            <s xml:space="preserve">ea ſingula loca ſuam habent du-
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            rationem diei, & </s>
            <s xml:space="preserve">omnium ejuſmodi dierum initia, ac fines con-
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            tinenter fluunt; </s>
            <s xml:space="preserve">donec ad eundem redeatur locum, cujus </s>
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