Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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            <p type="main">
              <s>
                <pb xlink:href="039/01/044.jpg" pagenum="16"/>
                <arrow.to.target n="note7"/>
              locitatis partibus decem, adeoque motus ipſius
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              ſit ad motum ipſius
                <lb/>
                <emph type="italics"/>
              B,
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              ut ſex ad decem: ponantur motus illis eſſe partium ſex & par­
                <lb/>
              tium decem, & ſumma erit partium ſexdecim. </s>
              <s>In corporum igitur
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              concurſu, ſi corpus
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              lucretur motus partes tres vel quatuor vel
                <lb/>
              quinque, corpus
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              amittet partes totidem, adeoque perget corpus
                <lb/>
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              poſt reflexionem cum partibus novem vel decem vel undecim,
                <lb/>
              &
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              cum partibus ſeptem vel ſex vel quinque, exiſtente ſemper ſum­
                <lb/>
              ma partium ſexdecim ut prius. </s>
              <s>Si corpus
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              lucretur partes novem
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              vel decem vel undecim vel duodecim, adeoque progrediatur poſt
                <lb/>
              concurſum cum partibus quindecim vel ſexdecim vel ſeptendecim
                <lb/>
              vel octodecim; corpus
                <emph type="italics"/>
              B,
                <emph.end type="italics"/>
              amittendo tot partes quot
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              lucratur,
                <lb/>
              vel cum una parte progredietur amiſſis partibus novem, vel qui­
                <lb/>
              eſcet amiſſo motu ſuo progreſſivo partium decem, vel cum una par­
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              te regredietur amiſſo motu ſuo & (ut ita dicam) una parte amplius,
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              vel regredietur cum partibus duabus ob detractum motum progreſ­
                <lb/>
              ſivum partium duodecim. </s>
              <s>AtQ.E.I.a ſummæ motuum conſpirantium
                <lb/>
              15+1 vel 16+c, & differentiæ contrariorum 17-1 & 18-2 ſemper
                <lb/>
              erunt partium ſexdecim, ut ante concurſum & reflexionem. </s>
              <s>CogNI­
                <lb/>
              tis autem motibus quibuſcum corpora poſt reflexionem pergent, in­
                <lb/>
              venietur cujuſque velocitas, ponendo eam eſſe ad velocitatem ante
                <lb/>
              reflexionem, ut motus poſt eſt ad motum ante. </s>
              <s>Ut in caſu ultimo, ubi
                <lb/>
              corporis
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              motus erat partium ſex ante reflexionem & partium octo­
                <lb/>
              decim poſtea, & velocitas partium duarum ante reflexionem; in­
                <lb/>
              venietur ejus velocitas partium ſex poſt reflexionem, dicendo, ut
                <lb/>
              motus partes ſex ante reflexionem ad motus partes octodecim poſt­
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              ea, ita velocitatis partes duæ ante reflexionem ad velocitatis partes
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              ſex poſtea. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note7"/>
              TA,</s>
            </p>
            <p type="main">
              <s>Quod ſi corpora vel non Sphærica vel diverſis in rectis moventia
                <lb/>
              incidant in ſe mutuo oblique, & requirantur eorum motus poſt refle­
                <lb/>
              xionem; cognoſcendus eſt ſitus plani a quo corpora concurrentia tan­
                <lb/>
              guntur in puncto concurſus: dein corporis utriuſque motus (per
                <lb/>
              Corol.11.) diſtinguendus eſt in duos, unum huic plano perpendicu­
                <lb/>
              larem, alterum eidem parallelum: motus autem paralleli, propter­
                <lb/>
              ea quod corpora agant in ſe invicem ſecundum lineam huic plano
                <lb/>
              perpendicularem, retinendi ſunt iidem poſt reflexionem atque an­
                <lb/>
              tea; & motibus perpendicularibus mutationes æquales in partes con­
                <lb/>
              trarias tribuendæ ſunt ſic, ut ſumma conſpirantium & differentia
                <lb/>
              contrariorum maneat eadem quæ prius. </s>
              <s>Ex hujuſmodi reflexio­
                <lb/>
              nibus oriri etiam ſolent motus circulares corporum circa centra pro­
                <lb/>
              pria. </s>
              <s>Sed hos caſus in ſequentibus non conſidero, & nimis longum
                <lb/>
              eſſet omnia huc ſpectantia demonſtrare.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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