DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N13F6F
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<
pb
n
="
97
"
xlink:href
="
036/01/217.jpg
"/>
<
p
id
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id.2.1.211.3.0.0.0
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type
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main
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<
s
id
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id.2.1.211.3.1.1.0
">Nouiſſe etiam oportet, quòd ſicuti proportio
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lb
/>
nes omnes inter potentiam, & pondus vnico
<
lb
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fune inuentæ fuerunt; ita etiam pluribus funi
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lb
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bus, trochleiſ〈qué〉 eædem inueniri poterunt. </
s
>
<
s
id
="
id.2.1.211.3.1.2.0
">vt
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lb
/>
ſi multiplicem ſuperparticularem proportionem
<
lb
/>
pluribus funibus inuenire voluerimus, veluti ſi
<
lb
/>
proportio, quam habet pondus ad potentiam
<
lb
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pondus ſuſtinentem, fuerit duplex ſeſquialtera, vt
<
lb
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quinq; ad duo; oportet hanc proportionem ex
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lb
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pluribus componere. </
s
>
<
s
id
="
id.2.1.211.3.1.3.0
">vt (exempli gratia) ex pro
<
lb
/>
portione ſeſquiquarta, vt quin〈qué〉 ad quatuor,
<
lb
/>
& ex dupla, vt quatuor ad duo. </
s
>
<
s
id
="
id.2.1.211.3.1.4.0
">exponatur igitur po
<
arrow.to.target
n
="
note292
"/>
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tentia in A pondus B ſuſtinens, ad quam pondus
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lb
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<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
habeat ſeſquiquartam, vt quinq; ad
<
lb
/>
quatuor: deinde alio fune inueniatur
<
expan
abbr
="
potẽtia
">potentia</
expan
>
in C,
<
arrow.to.target
n
="
note293
"/>
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cuius dupla ſit potentia in A. </
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>
<
s
id
="
id.2.1.211.3.1.4.0.a
">&
<
expan
abbr
="
quoniã
">quoniam</
expan
>
B ad A eſt,
<
lb
/>
vt quinq; ad quatuor; & A ad C, vt quatuor ad
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lb
/>
duo; erit pondus B ad potentiam in C, vt quin
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lb
/>
que ad duo; hoc eſt proportionem habebit du
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lb
/>
plicem ſeſquialteram.
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</
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</
p
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<
p
id
="
id.2.1.211.4.0.0.0
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type
="
main
">
<
s
id
="
id.2.1.211.4.1.1.0
">Et notandum eſt hanc quoq;
<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
inue
<
lb
/>
niri poſſe, ſi proportionem quinq; ad duo ex pluri
<
lb
/>
bus componamus, vt quinq; ad quindecim & quin
<
lb
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decim ad viginti & viginti ad duo. </
s
>
<
s
id
="
id.2.1.211.4.1.2.0
">Et hoc modo
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lb
/>
non ſolum omnem aliam proportionem inuenie
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lb
/>
mus, ſed quamcunq, multis, infinitis〈qué〉 mo
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lb
/>
dis comperiemus. </
s
>
<
s
id
="
id.2.1.211.4.1.3.0
">omnis enim proportio ex infi
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lb
/>
nitis proportionibus componi poteſt. </
s
>
<
s
id
="
id.2.1.211.4.1.4.0
">vt patet
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/>
in commentario Eutocii in quartam propoſitio
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nem ſecundi libri Archimedis de ſphera, & cy
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lb
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lindro. </
s
>
</
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>
<
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id
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type
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<
s
id
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">
<
margin.target
id
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"/>
<
emph
type
="
italics
"/>
Ex
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emph.end
type
="
italics
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21
<
emph
type
="
italics
"/>
huius.
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emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
id.2.1.212.1.1.2.0
">
<
margin.target
id
="
note293
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<
emph
type
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italics
"/>
Ex
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type
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2
<
emph
type
="
italics
"/>
huius.
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emph.end
type
="
italics
"/>
</
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<
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id
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type
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<
s
id
="
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">Poſſumus quoq; pluribus funibus, trochleis
<
lb
/>
verò inferioribus tantùm, vel ſuperioribus vti. </
s
>
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