Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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              Cap. 11. gra­
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              uia in fluido
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              velocitati­
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              bus inæqua­
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              libus ferri
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              debere.</s>
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              PROP. CCXL.
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              In ijſdem trutinis datis quatuor ponderibus in illis
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              ,
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              reperire proportionem velocitatum quibus libræ reuol­
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              uuntur.
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                <emph.end type="center"/>
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              <s id="s.002588">IN eadem figura ſint data pondera inæqualia D, &
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              G, nec non præcognita ſint pondera æqualia E,
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              & M, quæ minora prioribus ſint: reperiri debet pro­
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              portio velocitatum qui­
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              bus prædictæ libræ
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                uuntur</expan>
              ; fiat CI media pro­
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              portionalis inter CF, &
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              KH; quia duo pondera D,
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              & E ſuam vim compreſſi­
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              uam exercent in F centro
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              grauitatis communis eo­
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              rumdem ponderum, ergo ea velocitate flectetur li­
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              bra AB circa centrum fixum C, quæ competit longi­
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              tudini penduli CF; eadem ratione ea velocitate fle­
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              ctetur libra NO cum ponderibus G, M circa centrum
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              K, quæ competit longitudini penduli KH; & quią
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              velocitas penduli CF ad velocitatem penduli KH
                <expan abbr="eã-dem">ean­
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                dem</expan>
              rationem habet quam CF ad CI; & CF ad KH
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              compoſitam proportionem habet ex ratione diffe­
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              rentiæ ponderum D, & E ad eorum ſummam, & ex
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              ratione ſummæ ponderum G, M ad eorum differen­
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              tiam, ergo reperire debemus
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              propor­
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              tionem prædictæ compoſitæ proportionis, vt quæſi­
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              to ſatisfaciamus. </s>
              <s id="s.002589">Fiat modò ſumma ponderum D, &
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              E ad R, vt ſumma ponderum G, & M ad eorumdem̨ </s>
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