Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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<
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<
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">Duo gravia descendentia super planis diversa
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ratione declinantibus, perveniunt ad idem
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planum orizontale ea ratione, ut sit eadem
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proportio inter diuturnitates, quae inter
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dicta plana si ab eodem puncto ad idem
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planum orizontale producta sint.
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proof
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<
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id
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">Datis planis AB, AC declinantibus, ductis
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ab eodem puncto A ad planum orizontale BC.
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per AB, AC sint ut AB ad AC.</
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<
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">Fiat ut AC ad AB ita AB ad AD, ita ut grave
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perveniat in D eodem tempore quo pervenit in B
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.</
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Per 17. huius.</
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<
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id
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">Quoniam est ut AD ad AC, ita quadratum tem
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poris AD ad quadratum temporis AC
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, &
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tempora AD, AB sunt aequalia
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, & proinde
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eorum quadrata; ergo ut AD ad AC ita qua
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dratum temporis AB, ad quadratum tempo
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ris AC
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, sed ut AD ad AC, ita quadra
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tum AB ad quadratum AC
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, ergo ut quadra
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tum temporis AB ad quadratum temporis AC,
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ita quadratum AB ad quadratum AC, ergo
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ut tempus AB ad tempus AC, ita AB ad AC
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Per Cor. 7. huius.</
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Per const.</
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Per 2. pronun.</
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Per 10. sexti.</
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Per 22. sexti.</
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