DelMonte, Guidubaldo
,
Mechanicorvm Liber
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chap
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N128CF
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036/01/112.jpg
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<
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<
s
id
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">Sit vectis AB horizonti æquidiſtans, cuius fulcimentum C;
<
lb
/>
pondus autem BD, eiuſdem verò grauitatis centrum ſit ſupra ve
<
lb
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ctem vbi H: ſitq; potentia ſuſtinens in A. </
s
>
<
s
id
="
id.2.1.95.12.1.1.0.a
">moueatur deinde ve
<
lb
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ctis AB in EF, ſitq; pondus motum in FG. </
s
>
<
s
id
="
id.2.1.95.12.1.1.0.b
">Dico primùm mino
<
lb
/>
rem
<
expan
abbr
="
potentiã
">potentiam</
expan
>
in E ſuſtinere pondus FG vecte EF, quàm
<
expan
abbr
="
potẽtia
">potentia</
expan
>
in
<
lb
/>
A pondus BD vecte AB. </
s
>
<
s
id
="
id.2.1.95.12.1.1.0.c
">ſit k centrum grauitatis ponderis FG;
<
lb
/>
deinde tùm ex H, tùm ex K ducantur HL kM ipſorum horizon
<
lb
/>
tibus perpendiculares, quæ in
<
expan
abbr
="
centrũ
">centrum</
expan
>
mundi conuenient; ſitq; HL ip
<
lb
/>
ſi quoq; AB perpendicularis. </
s
>
<
s
id
="
id.2.1.95.12.1.2.0
">ducatur deinde kN ipſi EF perpen
<
lb
/>
dicularis, quæ ipſi HL æqualis erit, & CN ipſi CL æqualis. </
s
>
<
s
id
="
id.2.1.95.12.1.3.0
">Quo
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lb
/>
<
arrow.to.target
n
="
note153
"/>
niam enim HL horizonti eſt perpendicularis, potentia in A ſu
<
lb
/>
ſtinens pondus BD ad ipſum pondus eam habebit proportionem,
<
lb
/>
quam CL ad CA. </
s
>
<
s
id
="
id.2.1.95.12.1.3.0.a
">rurſus quoniam kM horizonti eſt perpendicu
<
lb
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laris, potentia in E pondus FG ſuſtinens ita erit ad pondus, vt
<
lb
/>
CM ad CE. </
s
>
<
s
id
="
id.2.1.95.12.1.3.0.b
">Cùm autem CN NK ipſis CL LH ſint æquales,
<
lb
/>
<
arrow.to.target
n
="
note154
"/>
angulosq; rectos contineant; erit CM minor ipſa CL; ergo CM
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lb
/>
<
arrow.to.target
n
="
note155
"/>
ad CA minorem habebit proportionem, quam CL ad CA; & </
s
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</
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</
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</
archimedes
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