Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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communi ponderaueris idem vas plenum̨
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ignito, ponderum differentia non eſt
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pondus aëris communis æolipilam implen
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tis. </
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>Exemplo rem declaro: & accipio illud
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idem vas cupreum AR, de quo antea dixi
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mus, quod cum in aëre ſit lib. 100, intrà
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aquam plenum aquâ eſſet lib (88 52/71), ſed intrà
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aquam plenum aëre ſolùm eſſet lib. 20; vn
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de intulimus aquæ vas implentis pondus iņ
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aëre eſſe lib. (68 52/71). Ponamus ſacoma eſſę
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ferreum, & illud pariter intrà aquam exiſte
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re. </
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>Quoniam igitur ferrum 36 2/3 in aërę,
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æquiponderat ferro 42 in aquâ, ferrum (88 52/71)
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in aëre, æquiponderabit ferro (101 499/781) in aquâ;
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& hoc faciet æquilibrium cum vaſe cupreo
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pleno aquâ. </
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<
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>Item quia ferrum 36 2/3 in aëre
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æquiponderat ferro 42 in aquâ, ferrum 20
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in aëre æquiponderabit ferro (22 10/11) in aquâ; &
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hoc conſtituet æquilibrium cum vaſe cupreo
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pleno aëre intrà aquam. </
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<
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>Iam ſumo diffe
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rentiam inter duo hæc ſacomata, quæ ſunt
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vt (101 499/781) ad (22 10/11), & eſt differentia lib. (78 580/781);
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quod ſanè non eſt pondus aquæ vaſis capa
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citatem implentis, ſi illa in aëre ponderetur,
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ſed eſt multò maius. </
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<
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>Pro diuersâ autem̨
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materiâ ſiue plumbeâ, ſiue æreâ, ſiue argen</
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