DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">PROPOSITIO III. </
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<
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">Si vtriſq; duarum trochlearum ſingulis or
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biculis, quarum altera ſupernè, altera verò in
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fernè conſtituta, ponderiq; alligata fuerit, cir
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cunducatur funis; altero eius extremo alicubi
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religato, altero verò à potentia pondus ſuſti
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nente detento; erit potentia ponderis ſub du
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pla. </
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">Sit pondus A; ſit BCD orbiculus trochleæ pon
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deri A alligatæ, cuius centrum K; EFG verò
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ſit trochleæ ſurſum appenſæ, cuius centrum H.
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</
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<
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">deinde LBC DME FGN funis circa orbicu
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los ducatur, qui religetur in L; ſitq; potentia in
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N ſuſtinens pondus A. </
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<
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">dico potentiam in N
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ſubduplam eſſe ponderis A. </
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<
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">ſi enim potentia ſu
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ſtinens pondus A vbi M collocata foret, eſſet
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vtiq; potentia in M ſubdupla ponderis A. </
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<
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tentiæ verò in M æqualis eſt vis in N. </
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<
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nim ac ſi potentia in M dimidium ponderis
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A ſine trochlea ſuſtineret, cui æqueponderat
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pondus in N ponderis A dimidio æquale. </
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<
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quare vis in N æqualis dimidio ponderis A
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ipſum A ſuſtinebit. </
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<
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">Potentia igitur in N ſuſti
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nens pondus A ſubdupla eſt ipſius A. </
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<
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demonſtrare oportebat.
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