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

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            <s xml:id="echoid-s4245" xml:space="preserve">
              <pb o="293" file="0317" n="317" rhead="LIBRO III."/>
            traggano ſeparatamente l’ una in
              <emph style="it">p</emph>
            , l’ altra in
              <emph style="it">q</emph>
            .
              <lb/>
            </s>
            <s xml:id="echoid-s4246" xml:space="preserve">Ho anche inteſo, che il corpo, giunto in
              <emph style="it">r</emph>
            , avrà
              <lb/>
            una forza viva eguale alla ſomma di quelle due,
              <lb/>
            che egli avrebbe in
              <emph style="it">p</emph>
            et in
              <emph style="it">q</emph>
            . </s>
            <s xml:id="echoid-s4247" xml:space="preserve">Ma non ho ancora
              <lb/>
            inteſe, come il corpo, tirato dalle due poten-
              <lb/>
            ze inſieme, debba ſcorrere la lineetta A
              <emph style="it">r</emph>
            nell’ i-
              <lb/>
            ſteſſo tempo, in cui ſcorrerebbe A
              <emph style="it">m</emph>
            , ſe foſſe tira-
              <lb/>
            to dalla ſola potenza AB, ovvero A
              <emph style="it">n</emph>
            , ſe foſſe
              <lb/>
            tirato dalla ſola AC. </s>
            <s xml:id="echoid-s4248" xml:space="preserve">Se voi aveſte letto attenta-
              <lb/>
            mente, diſſe quivi il Signor D. </s>
            <s xml:id="echoid-s4249" xml:space="preserve">Felice, tutto il luo-
              <lb/>
            go, dove il Padre Riccati dichiara la ſua dimoſtra-
              <lb/>
            zione, avreſte inteſo anche ciò, che voi mi di-
              <lb/>
            mandate. </s>
            <s xml:id="echoid-s4250" xml:space="preserve">E ſenza leggerlo, potrete intenderlo an-
              <lb/>
            cora da voi medeſimo; </s>
            <s xml:id="echoid-s4251" xml:space="preserve">ſol che vi piaccia di ſtabi-
              <lb/>
            lir prima il tempo, nel quale il corpo tirato dalla
              <lb/>
            ſola potenza AB, ſcorre lo ſpazio A
              <emph style="it">p</emph>
            , e inſieme
              <lb/>
            il tempo, in cui tirato congiuntamente dalle due
              <lb/>
            potenze, ovvero dalla potenza diagonale, che può
              <lb/>
            ſoſtituirſi alle due, ſcorre lo ſpazio A
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            ; </s>
            <s xml:id="echoid-s4252" xml:space="preserve">perciocchè
              <lb/>
            ſcorrendo il corpo lo ſpazio A
              <emph style="it">p</emph>
            ſecondo le leggi
              <lb/>
            della gravità, ſe egli nel primo dei ſopraddetti due
              <lb/>
            tempi ſcorre lo ſpazio A
              <emph style="it">p</emph>
            , potrà facilmente racco-
              <lb/>
            glierſi, quale ſpazio dovrà ſcorrere nel ſecondo; </s>
            <s xml:id="echoid-s4253" xml:space="preserve">e
              <lb/>
            voi troverete, che eſſo ſpazio è appunto la quarta
              <lb/>
            linea proporzionale dopo le trè AD, AB, A
              <emph style="it">r</emph>
            ; </s>
            <s xml:id="echoid-s4254" xml:space="preserve">cioè a
              <lb/>
            dire la linea A
              <emph style="it">m</emph>
            . </s>
            <s xml:id="echoid-s4255" xml:space="preserve">Simil coſa dimoſtrerete anche riſ-
              <lb/>
            petto alla linea A
              <emph style="it">n</emph>
            , et all’ iſteſſo modo. </s>
            <s xml:id="echoid-s4256" xml:space="preserve">Ne laſcia
              <lb/>
            il Padre Riccati di dichiararlo ſottilmente; </s>
            <s xml:id="echoid-s4257" xml:space="preserve">ma voi
              <lb/>
            non vorrete ora, che io mi avvolga in molte e lun-
              <lb/>
            ghe ſupputazioni; </s>
            <s xml:id="echoid-s4258" xml:space="preserve">ne io forſe potrei, quando </s>
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