DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">PROPOSITIO XVII. </
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<
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">Si vtriſq; duarum trochlearum ſingulis orbicu
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lis, quarum vna ſupernè à potentia ſuſtineatur,
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altera verò infernè, ibiq; affixa, conſtituta fue
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rit, funis circumducatur; altero eius extremo ſu
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periori trochleæ religato, alteri verò pondere
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appenſo; tripla erit ponderis potentia. </
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">Sit orbiculus, cuius centrum A, tro
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chleæ infernè affixæ; & ſit funis BCD
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EFG non ſolum huic orbiculo circumuo
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lutus, verùm etiam orbiculo trochleæ ſu
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perioris, cuius centrum k; ſitq; funis in
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B ſuperiori trochleæ religatus; & in G ſit ap
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penſum pondus H; potentiaq; in L ſuſti
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neat pondus H. </
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<
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">dico potentiam in L tri
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plam eſſe ponderis H. </
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<
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">ſi enim duæ eſſent
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potentiæ pondus H
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ſuſtidentes
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, vna in
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K, altera in B, erunt vtræq; ſimul triplæ
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ponderis H potentia enim in k dupla eſt
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ponderis H, & potentia in B ipſi ponderi
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æqualis. </
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">& quoniam ſola potentia in L
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vtriſq; ſcilicet potentiæ in KB eſt æqua
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lis. </
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">ſuſtinet enim potentia in L; tùm po
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tentiam in K, tùm potentiam in B; idem
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〈qué〉 efficit potentia in L, ac ſi duæ eſſent
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potentiæ, vna in k, altera in B: Tri
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pla igitur erit potentia in L ponderis H.
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<
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