DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N1043F
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<
s
id
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id.2.1.55.2.1.1.0
">Sit libra AB, cuius centrum C; ſintq; vt in primo caſu duo pon
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lb
/>
dera EF ex punctis BG ſuſpenſa: ſitq; GH ad HB, vt pondus
<
lb
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F ad pondus E. </
s
>
<
s
id
="
id.2.1.55.2.1.1.0.a
">Dico pondera EF tàm in GB ponderare, quàm
<
lb
/>
ſi vtraq; ex diuiſionis puncto H ſuſpendantur. </
s
>
<
s
id
="
id.2.1.55.2.1.2.0
">Conſtruantur ea
<
lb
/>
dem, hoc eſt fiat AC ipſi CH æqualis, & ex puncto A duo ap
<
lb
/>
pendantur pondera LM, ita vt pondus E ad pondus L, ſit vt
<
lb
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CA ad CG; vt autem CB ad CA, ita ſit pondus M ad pondus
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lb
/>
F. </
s
>
<
s
id
="
id.2.1.55.2.1.2.0.a
">pondera LM ipſis EF in GB appenſis (vt ſupra dictum eſt)
<
lb
/>
æqueponderabunt. </
s
>
<
s
id
="
id.2.1.55.2.1.3.0
">Sint deinde puncta NO centra grauitatis pon
<
lb
/>
derum EF; connectanturq; GN BO; iungaturq; NO, quæ tan
<
lb
/>
quam libra erit; quæ etiam efficiat lineas GN BO inter ſe ſe æqui
<
lb
/>
diſtantes eſſe; à punctoq; H horizonti perpendicularis ducatur
<
lb
/>
HP, quæ NO ſecet in P, atq; ipſis GN BO ſit æquidiſtans.
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lb
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</
s
>
<
s
id
="
id.2.1.55.2.1.3.0.a
">deniq; connectatur GO, quæ HP ſecet in R. </
s
>
<
s
id
="
id.2.1.55.2.1.4.0
">Quoniam igitur
<
lb
/>
HR eſt lateri BO trianguli GBO æquidiſtans; erit GH ad HB,
<
lb
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vt GR ad RO. </
s
>
<
s
id
="
N124F8
">ſimiliter quoniam RP eſt lateri GN trianguli
<
arrow.to.target
n
="
note104
"/>
<
lb
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OGN æquidiſtans; erit GR ad RO, vt NP ad PO. </
s
>
<
s
id
="
N124FF
">quare
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lb
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vt GH ad HB, ita eſt NP ad PO. </
s
>
<
s
id
="
N12503
">vt autem GH ad HB, ita
<
arrow.to.target
n
="
note105
"/>
<
lb
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eſt pondus F ad pondus E; vt igitur NP ad PO, ita eſt pondus
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lb
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F ad pondus E. </
s
>
<
s
id
="
id.2.1.55.2.1.4.0.a
">punctum ergo P centrum erit grauitatis magni
<
lb
/>
tudinis ex vtriſq; EF ponderibus compoſitæ. </
s
>
<
s
id
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id.2.1.55.2.1.5.0
">Intelligantur itaq;
<
arrow.to.target
n
="
note106
"/>
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lb
/>
pondera EF ita eſſe à libra NO connexa, ac ſi vna tantùm eſſet
<
lb
/>
magnitudo ex vtriſq; EF compoſita, in punctiſq; BG appenſa. </
s
>
<
s
id
="
id.2.1.55.2.1.6.0
">ſi
<
lb
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igitur ponderum ſuſpenſiones BG ſoluantur, manebunt pondera
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arrow.to.target
n
="
note107
"/>
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lb
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EF ex HP ſuſpenſa; ſicuti in GB prius manebant. </
s
>
<
s
id
="
id.2.1.55.2.1.7.0
">pondera verò EF
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lb
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in GB appenſa ipſis LM ponderibus æqueponderant, & pondera </
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