Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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              <s id="s.000295">PROPOSITIO XXIV
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            <subchap1>
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                <s id="s.000296">Datis planis, & perpendiculari ad eadem linea orizon-
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                tali egressis, quae coeant infra in eodem puncto, gra-
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                via super ipsis mota procedunt ea ratione, ut sit ea-
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                dem proportion inter diuturnitates, quae inter longi-
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                tudines planorum, & dictam perpendicularem.
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                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000297">Data sit linea orizontalis AB, in qua initium sumant
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              plana declinantia AC, DC, nec non perpendicula-
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              ris BC coeuntia in puncto C.
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              </s>
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              <s id="s.000298">Dico quod diuturnitates gravium super ipsis motorum, sunt
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              ut AC, DC, BC.
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            <p>
              <s id="s.000299">Ducatur CE paralella ipsi AB, & a puncto A ducantur
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              paralellae ipsis CB, CD, & sint AE, AF.
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            <p>
              <s id="s.000300">Quoniam diuturnitates super planis AF, AC, sunt ut A
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              F, AC
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              , & super planis eisdem, & perpendiculari A
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              E, sunt ut AF, seu AC ad AE
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              , & AE, AF sunt paralellae
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              ipsis CD, CB, & eisdem aequales
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              , sequitur quod etiam
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              super AC, DC, BC diuturnitates sunt iuxta propor-
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              tiones longitudinum
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              , Quod probandum fuit.
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              Per 23.
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              hujus.
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              Per 15.
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              hujus.
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              Per 33.
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              prim.
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              Per 3.
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              pron.
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          </chap>
        </body>
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