DelMonte, Guidubaldo
,
Mechanicorvm Liber
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tentiam in A ad pondus eam habere, quam DH ad DA; poten
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tiamq; in M ad pondus eam, quam Ok ad OM. </
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<
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">Quoniam e
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nim à centro grauitatis F ducta eſt kF horizonti perpendicularis,
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ex quocunq; puncto lineæ kF ſuſtineatur pondus, manebit; vt
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nunc ſe habet. </
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<
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">ſi igitur ſuſtineatur in H, manebit vt prius; ſcili
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cet ſublato puncto B, & PQ, quæ pondus ſuſtinent, pondus BE
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manebit, ſicuti ab ipſis ſuſtinebatur. </
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<
s
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">quare in vecte AB graueſcet
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in H, & ad vectem eandem habebit conſtitutionem, quam prius;
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idcirco erit, ac ſi in H eſſet appenſum. </
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<
s
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">eadem igitur potentia ìdem
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pondus BE, ſiue in H, ſiue in B, & Q ſuffultum, ſuſtinebit. </
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<
s
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">Potentia ve
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rò in A ſuſtinens pondus BE vecte AB in H appenſum ad ipſum
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pondus eandem habet proportionem, quam DH ad DA; eadem
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ergo potentia in A ſuſtinens pondus BE in punctis BQ ſuſtenta
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tum ad ipſum pondus erit, vt DH ad DA. </
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<
s
id
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">Similiter oſtende
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tur pondus BE ſi in G ſuſtineatur, manere; ſicuti à punctis BP
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ſuſtinebatur: & in puncto k, vt à punctis BR. </
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<
s
id
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N12FFF
">quare potentia in
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L ſuſtinens pondus BE ad ipſum pondus ita erit, vt NG ad NL.
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</
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<
s
id
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">potentia verò in M ad pondus, vt OK ad OM; hoc eſt vt diſtan
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tia à fulcimento ad punctum, vbi à centro grauitatis ponderis ho
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rizonti ducta perpendicularis vectem ſecat, ad diſtantiam à fulci
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mento ad potentiam. </
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<
s
id
="
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">quod demonſtrare quoq; oportebat. </
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1
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Huius de libra.
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1
<
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Huius.
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<
s
id
="
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">Si verò LAM eſſent fulcimenta, & potentiæ in NDO; ſimi
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liter oſtendetur ita eſſe potentiam in N ad pondus, vt LG ad L
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N; & potentiam in D, vt AH ad AD; & potentiam in O, vt
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Mk ad MO. </
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