DelMonte, Guidubaldo
,
Mechanicorvm Liber
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CA ipſi CE eſt æqualis, minorem igitur proportionem habebit
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CM ad CE. quàm CL ad CA: & cùm pondera BD FG ſint
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æqualia, eſt enim idem pondus; ergo minor erit proportio po
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tentiæ in E pondus FG ſuſtinentis ad ipſum pondus, quàm po
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tentiæ in A pondus BD ſuſtinentis ad ipſum pondus. </
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<
s
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id.2.1.95.12.1.4.0
">Quare
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note156
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minor potentia in E ſuſtinebit pondus FG, quàm potentia in A
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pondus BD. </
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<
s
id
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N1339E
">& quò pondus magis eleuabitur; ſemper oſtendetur
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minorem adhuc potentiam pondus ſuſtinere; cùm linea PC mi
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nor ſit linea CM. </
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<
s
id
="
id.2.1.95.12.1.4.0.a
">ſit deinde vectis in QR, & pondus in QS,
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cuius
<
expan
abbr
="
centrũ
">centrum</
expan
>
grauitatis ſit O. </
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<
s
id
="
id.2.1.95.12.1.4.0.b
">dico maiorem requiri potentiam in R
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lb
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ad
<
expan
abbr
="
ſuſtinendũ
">ſuſtinendum</
expan
>
pondus QS, quàm in A ad pondus BD. </
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<
s
id
="
N133B9
">ducatur à cen
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tro grauitatis O linea OT horizonti perpendicularis. </
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>
<
s
id
="
id.2.1.95.12.1.5.0
">& quo
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lb
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niam HL OT, ſi ex parte L, atq; T producantur, in centrum
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lb
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mundi conuenient; erit CT maior CL: eſt autem CA ipſi CR
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note158
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æqualis, habebit ergo TC ad CR maiorem proportionem, quàm
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LC ad CA. </
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<
s
id
="
id.2.1.95.12.1.5.0.a
">Maior igitur erit potentia in R ſuſtinens pondus
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note159
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lb
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QS, quàm in A ſuſtinens BD. </
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<
s
id
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N133D3
">ſimiliter oſtendetur; quò vectis
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lb
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RQ magis à vecte AB diſtabit deorſum vergens, ſemper maio
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rem potentiam requiri ad ſuſtinendum pondus: diſtantia enim CV
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note160
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longior eſt CT. </
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>
<
s
id
="
id.2.1.95.12.1.5.0.b
">Quò igitur pondus à ſitu horizonti æquidiſtan
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te magis eleuabitur à minori ſemper potentia pondus ſuſtinebitur;
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quò verò magis deprimetur, maiori, vt ſuſtineatur, egebit potentia.
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/>
</
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<
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id.2.1.95.12.1.6.0
">
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quod demonſtrare oportebat. </
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5
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Huius.
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6
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Huius.
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Quinti.
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Quinti.
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6
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Huius.
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Huius.
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Quinti. </
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id
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">Ex
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10
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quinti.
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6
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Huius.
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<
s
id
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">Hinc facile elicitur potentiam in A ad poten
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tiam in E ita eſſe, vt CL ad CM. </
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<
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id
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id.2.1.97.2.0.0.0
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<
s
id
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id.2.1.97.2.1.1.0
">Nam ita eſt LC ad CA, vt potentia in A ad pondus; vt au
<
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tem CA, hoc eſt CE ad CM, ita eſt pondus ad potentiam in E;
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quare ex æquali potentia in A ad potentiam in E ita erit, vt CL
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ad CM. </
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22
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Quinti.
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<
s
id
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id.2.1.99.1.1.1.0
">Similiq; ratione non ſolum oſtendetur, potentiam in A ad po
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/>
tentiam in R ita eſſe, vt CL ad CT; ſed & potentiam quoq; in E
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ad potentiam in R ita eſſe, vt CM ad CT. </
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<
s
id
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N13474
">& ita in reliquis. </
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