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

Table of figures

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              De vi per­
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              cuſs. </s>
              <s id="s.002311">cap. 5.
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              axio. 1. eiuſ­
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              que corolla­
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              rio.</s>
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              Cap. 10. de
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              æquitempo­
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              ranea natu­
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              rali veloci­
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              tate
                <expan abbr="grauiũ">grauium</expan>
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              PROP. CCVIII.
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              Quælibet corpora homogenea inter ſe inæqualia ex ſui natu­
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              ra æquè velocia ſunt.
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              <s id="s.002315">SInt duo quælibet corpora homogenea A, & B,
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              quorum A maius ſit quàm B; dico æquali veloci­
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              tate deſcendere, ablatis
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              omnibus impedimentis. </s>
              <s id="s.002316">Si
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              enim hoc verum non eſt ma­
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              ius corpus A
                <expan abbr="deſcẽdet">deſcendet</expan>
              cele­
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              riùs, vel tardiùs, quàm B; &
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              primò ſi fieri poteſt, maius
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              corpus A celeriori motu fe­
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              ratur, ſcilicèt eodem tempo­
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              re T, percurrat A maius ſpa­
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              tium C, verùm B pertranſeat
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              ſpatium minus E; ſumatur aliud corpus G homoge­
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              neum ipſi A, vel B, quod maius ſit ipſo A, ſed com­
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              menſurabilem proportionem habeat ipſi B, ſcilicèt
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              eius partes ſit. </s>
              <s id="s.002317">erunt igitur (ex præced. prop.) cor­
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              pora G, & B æquè velocia, ſcilicèt eodem tempore
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              T corpus G percurret idipſum ſpatium E, quod per­
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              tranſierat corpus B; eſt verò G maius, quàm A, & ei
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              homogeneum, ergo maius corpus G tardiori motu
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              deſcendit, quàm corpus minus A, ſcilicèt eodem
                <expan abbr="tẽ-pore">ten­
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                pore</expan>
              T corpus maius G pertranſit minus ſpatium E,
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              atque A percurrit ſpatium maius G, quod eſt contra
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              hypotheſim, debebat enim maius corpus celeriori </s>
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