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

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              <pb o="306" file="0358" n="358" rhead="EPISTOLA"/>
            vis redactis ad directionem perpendicularem plano tranſeunti pey
              <lb/>
            axem rotationis, & </s>
            <s xml:space="preserve">centrum gravitatis, ſive ſi maſſarum ſum-
              <lb/>
            ma in ipſum incurreret directione, & </s>
            <s xml:space="preserve">velocitate motus, qua fer-
              <lb/>
            tur centrum gravitatis.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">122. </s>
            <s xml:space="preserve">Patet primum, quia debet in Q haberi vis contraria
              <lb/>
              <note position="left" xlink:label="note-0358-01" xlink:href="note-0358-01a" xml:space="preserve">Demonſtratio
                <lb/>
              primæ partis.</note>
            directioni illius motus perpendicularis plano tranſeunti per a-
              <lb/>
            xem, & </s>
            <s xml:space="preserve">P G, par extinguendis omnibus omnium maſſarum
              <lb/>
            velocitatibus ad eam directionem redactis, quæ vis itidem re-
              <lb/>
            quireretur, ſi omnes maſſæ eo immediate devenirent cum ejuſ-
              <lb/>
            modi velocitatibus.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">123. </s>
            <s xml:space="preserve">Patet ſecundum ex eo, quod velocitas illa pro maſſa
              <lb/>
              <note position="left" xlink:label="note-0358-02" xlink:href="note-0358-02a" xml:space="preserve">Demonſtratio
                <lb/>
              ſecundæ.</note>
            A ſit {P a/P Q} x V, adeoque motus {A x P a/P Q} x V, quorum mo-
              <lb/>
            tuum ſumma eſt {M x P G/P Q} x V. </s>
            <s xml:space="preserve">Eſt autem {P G/P Q} x V veloci-
              <lb/>
            tas puncti G, quod punctum movetur ſolo motu perpendicu-
              <lb/>
            lari ad P G, adeoque ſi maſſa totalis M incurrat in Q cum di-
              <lb/>
            rectione, & </s>
            <s xml:space="preserve">celeritate, qua fertur centrum gravitatis G, faciet
              <lb/>
            impreſſionem eandem.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">124. </s>
            <s xml:space="preserve">Corollarium VII. </s>
            <s xml:space="preserve">Poteſt motus ſiſti impreſſione facta et-
              <lb/>
              <note position="left" xlink:label="note-0358-03" xlink:href="note-0358-03a" xml:space="preserve">Impreſſio ubi
                <lb/>
              fieri poſſit extra
                <lb/>
              centrum per-
                <lb/>
              cuſſionis cum
                <lb/>
              eodem effectu.</note>
            iam extra rectam P G, ſeu extra planum tranſiens per axem ro-
              <lb/>
            tationis, & </s>
            <s xml:space="preserve">centrum gravitatis, nimirum ſi impreſſio fiat in quod-
              <lb/>
            vis punctum rectœ eidem plano perpendicularis, & </s>
            <s xml:space="preserve">tranſeuntis
              <lb/>
            per Q, directione rectœ ipſius. </s>
            <s xml:space="preserve">Nam per nexum inter id pun-
              <lb/>
            ctum, & </s>
            <s xml:space="preserve">Q ſtatim impreſſio per eam rectam transfertur ab eo
              <lb/>
            puncto ad ipſum Q.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">125. </s>
            <s xml:space="preserve">Corollarium VIII. </s>
            <s xml:space="preserve">Contra vero ſi imprimatur dato cuidam
              <lb/>
              <note position="left" xlink:label="note-0358-04" xlink:href="note-0358-04a" xml:space="preserve">Motus commu-
                <lb/>
              nicatus quovis
                <lb/>
              impactu ſyſte.
                <lb/>
              mati quieſcenti.</note>
            puncto ſyſtematis quieſcentis vis quœdam motrix; </s>
            <s xml:space="preserve">invenietur faci-
              <lb/>
            le motus inde communicandus ipſi ſyſtemati. </s>
            <s xml:space="preserve">Nam ejuſmodi mo-
              <lb/>
            tus erit is, qui contrario æquali impactu ſiſteretur. </s>
            <s xml:space="preserve">Determi-
              <lb/>
            natio autem regreſſu facto per ipſam problematis ſolutionem
              <lb/>
            erit hujuſmodi. </s>
            <s xml:space="preserve">Centrum gravitatis commune movebitur dire-
              <lb/>
            ctione, qua egit vis, & </s>
            <s xml:space="preserve">velocitate, quam ea poteſt imprime-
              <lb/>
            re maſſæ totius ſyſtematis, quæ ad eam, quam poteſt impri-
              <lb/>
            mere maſſæ cuivis, eſt ut hæc poſterior maſſa ad illam prio-
              <lb/>
            rem, & </s>
            <s xml:space="preserve">ſi vis ipſa applicata fuerit ad centrum gravitatis, vel
              <lb/>
            immediate, vel per rectam tendentem ad ipſum; </s>
            <s xml:space="preserve">ſyſtema ſine
              <lb/>
            ulla rotatione movebitur eadem velocitate: </s>
            <s xml:space="preserve">ſin autem applice-
              <lb/>
            tur ad aliud punctum quodvis directione non tendente ad i-
              <lb/>
            pſum centrum gravitatis, præterea habebitur converſio, cujus
              <lb/>
            axis, & </s>
            <s xml:space="preserve">celeritas ſic invenietur. </s>
            <s xml:space="preserve">Per centrum gravitatis G aga-
              <lb/>
            tur planum perpendiculare rectæ, ſecundum quam ſit impa-
              <lb/>
            ctus, & </s>
            <s xml:space="preserve">notetur punctum Q, in quo eidem plano occurrit ea-
              <lb/>
            dem recta. </s>
            <s xml:space="preserve">Per ipſum punctum G ducatur in eo plano recta
              <lb/>
            perpendicularis ad Q G, quæ erit axis quæſitus. </s>
            <s xml:space="preserve">Per punctum
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            Q concipiatur alterum planum perpendiculare rectæ G Q, </s>
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