DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">PROPOSITIO XVIII. </
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<
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">Si vtriuſq; duarum trochlearum binis orbicu
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lis, quarum altera ſupernè à potentia ſuſtineatur,
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altera verò infernè, ibiq; annexa, collocata fue
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rit, funis circumnectatur; altero eius extremo
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alicubi, non autem ſuperiori trochleæ religato,
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alteri verò pondere appenſo; quadrupla erit
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ponderis potentia. </
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">Sit trochlea inferior, duos habens orbiculos,
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quorum centra AB; ſit 〈qué〉 trochlea ſuperior
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duos ſimiliter habens orbiculos, quorum cen
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tra CD; funiſq; EFGHKLMNOP ſit cir
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ca omnes orbiculos reuolutus, qui ſit religatus
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in E; & in P appendatur pondus Q; ſitq; po
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tentia in R. </
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<
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">dico potentiam in R quadruplam
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eſſe ponderis q. </
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<
s
id
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">Cùm enim ſi duæ intelligan
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tur potentiæ, vna in k, altera in D, potentia
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in k ſuſtinens pondus Q fune k LMNOP æ
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qualis erit ponderi; erunt duæ ſimul potentiæ,
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vna in D, altera in k, pondus Q ſuſtinentes,
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triplæ eiuſdem ponderis. </
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<
s
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">Potentia verò in C
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dupla eſt potentiæ in k, & per conſequens pon
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deris Q; idem enim eſt, ac ſi in k appenſum eſ
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<
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ſet pondus æquale ponderi Q, cuius dupla eſt
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potentia in C; duæ igitur potentiæ in DC qua
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druplæ ſunt ponderis q. </
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">& cùm potentia in R
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orbiculis ſuſtineat pondus Q, erit
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abbr
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potẽtia
">potentia</
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>
in R,
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ac ſi duæ eſſent potentiæ, vna in D, altera in C,
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& vtræq; ſimul pondus Q ſuſtinerent. </
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<
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">ergo po
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tentia in R quadrupla eſt ponderis q. </
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>
<
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id
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oportebat demonſtrare.
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