DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Sit pondus A vt centum, potentia verò mouens ſit vt decem;
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ſitq; datus vectis BC. </
s
>
<
s
id
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">oportet potentiam, quæ eſt decem pondus
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lb
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A centum vecte BC mouere. </
s
>
<
s
id
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">Diuidatur BC in D, ita vt CD
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lb
/>
ad DB eandem habeat proportionem, quàm habet centum ad
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lb
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decem, hoc eſt decem ad vnum; etenim ſi D fieret fulcimentum,
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conſtat potentiam vt decem in C æqueponderare ponderi A in B
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appenſo: hoc eſt pondus A ſuſtinere. </
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<
s
id
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">accipiatur inter BD quod
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uis punctum E, & fiat E fulcimentum. </
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<
s
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">Quoniam enim maior
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n
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<
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eſt proportio CE ad EB, quàm CD ad DB; maiorem habebit
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lb
/>
proportionem CE ad EB, quàm pondus A ad potentiam decem
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lb
/>
in C: potentia igitur decem in C pondus A centum in B appen
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lb
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ſum vecte BC, cuius fulcimentum ſit E, mouebit.
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<
s
id
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">Si verò ſit vectis
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/>
BC, & fulcimen
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tum B. </
s
>
<
s
id
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N13C3B
">diuidatur CB
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in D, ita vt CB ad
<
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/>
BD eandem habeat
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proportionem,
<
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abbr
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quã
">quam</
expan
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<
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habet centum ad decem: & ſi pondus A in D ſuſpendatur, & po
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tentia in C, potentia vt decem in C pondus A in D appenſum ſu
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n
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note197
"/>
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ſtinebit. </
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<
s
id
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">accipiatur inter DB quoduis punctum E, ponaturq; pon
<
lb
/>
dus A in E; & cùm ſit maior proportio CB ad BE, quàm
<
arrow.to.target
n
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note198
"/>
<
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BC ad BD; maiorem habebit proportionem CB ad BE, quàm
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pondus A centum ad potentiam decem. </
s
>
<
s
id
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">potentia igitur decem
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arrow.to.target
n
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note199
"/>
<
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in C pondus A centum in E appenſum mouebit vecte BC, cu
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ius fulcimentum eſt B. </
s
>
<
s
id
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N13C6B
">quod facere oportebat. </
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1
<
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Huius.
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Lemma huius.
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11
<
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Huius.
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2
<
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Huius.
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8
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Quinti.
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11
<
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Huius.
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