Zanotti, Francesco Maria, Della forza de' corpi che chiamano viva libri tre, 1752

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            <s xml:id="echoid-s4187" xml:space="preserve">
              <pb o="289" file="0313" n="313" rhead="Libro III."/>
            Felice. </s>
            <s xml:id="echoid-s4188" xml:space="preserve">Non però, ſeguitò allora il Signor D. </s>
            <s xml:id="echoid-s4189" xml:space="preserve">Nic-
              <lb/>
            cola, avrà il corpo, giunto in
              <emph style="it">r</emph>
            , una velocità, che
              <lb/>
            ſia eguale alla ſomma delle due velocità, che av-
              <lb/>
            rebbe avuto ne punti
              <emph style="it">p</emph>
            et
              <emph style="it">q</emph>
            . </s>
            <s xml:id="echoid-s4190" xml:space="preserve">Laſciate che io mi ſpie-
              <lb/>
            ghi con un’ eſempio. </s>
            <s xml:id="echoid-s4191" xml:space="preserve">Supponghiamo, che il corpo
              <lb/>
            tirato dalla ſola potenza AB aveſſe avuta in
              <emph style="it">p</emph>
            una
              <lb/>
            velocità 3, e per conſeguente una forza viva 9, e
              <lb/>
            tirato dalla ſola potenza AC aveſſe avuta in
              <emph style="it">q</emph>
            una
              <lb/>
            velocità 4, e per conſeguente una forza viva 16;
              <lb/>
            </s>
            <s xml:id="echoid-s4192" xml:space="preserve">così che la ſomma delle velocità foſſe 7; </s>
            <s xml:id="echoid-s4193" xml:space="preserve">la ſom-
              <lb/>
            ma delle forze vive foſſe 25; </s>
            <s xml:id="echoid-s4194" xml:space="preserve">dovendo il corpo,
              <lb/>
            giunto in
              <emph style="it">r</emph>
            , avere ſecondo voi una forza viva 25,
              <lb/>
            non potrà certo avere una velocità, che ſia 7; </s>
            <s xml:id="echoid-s4195" xml:space="preserve">ma. </s>
            <s xml:id="echoid-s4196" xml:space="preserve">
              <lb/>
            dovrà averne una minore, la qual ſarà 5; </s>
            <s xml:id="echoid-s4197" xml:space="preserve">altri-
              <lb/>
            menti la forza viva, che egli ha in
              <emph style="it">r</emph>
            , non ſarebbe
              <lb/>
            proporzionale al quadrato della velocità. </s>
            <s xml:id="echoid-s4198" xml:space="preserve">E’ dun-
              <lb/>
            que chiaro, che la potenza AB, traendo il corpo
              <lb/>
            da ſe ſola in
              <emph style="it">p</emph>
            , produce in eſſo una velocità 3; </s>
            <s xml:id="echoid-s4199" xml:space="preserve">
              <lb/>
            traendolo poi con la potenza AC in
              <emph style="it">r</emph>
            , quantun-
              <lb/>
            que faccia la ſteſſa azione, produce però una velo-
              <lb/>
            cità minore. </s>
            <s xml:id="echoid-s4200" xml:space="preserve">E ſimilmente la potenza AC, traen-
              <lb/>
            do il corpo da ſe ſola in
              <emph style="it">q</emph>
            , produce in eſſo una
              <lb/>
            velocità 4; </s>
            <s xml:id="echoid-s4201" xml:space="preserve">traendolo poi in
              <emph style="it">r</emph>
            con la potenza
              <lb/>
            AB, produce una velocità minore, quantunque
              <lb/>
            faccia l’ iſteſſa azione; </s>
            <s xml:id="echoid-s4202" xml:space="preserve">e ciò per modo, che la
              <lb/>
            ſomma delle velocità, la qual per altro ſarebbe
              <lb/>
            ſtara 7, riducaſi ſolo a 5. </s>
            <s xml:id="echoid-s4203" xml:space="preserve">Così che pare, che le po-
              <lb/>
            tenze, faccendo le ſteſſe azioni, debbano in certo
              <lb/>
            modo convenirſi, e diviſar tra loro delle veloci-
              <lb/>
            tà, che debbon produrre. </s>
            <s xml:id="echoid-s4204" xml:space="preserve">Volea ſeguitare il </s>
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