DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Sit deniq; libra AB, & ex punctis AB ſuſpenſa ſint pondera
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lb
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EF; ſitq; centrum libræ C intra pondera; diuidaturq; AB in
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D, ita vt AD ad DB ſit, vt pondus F ad pondus E. </
s
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<
s
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lb
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dera EF tàm in AB ponderare, quám ſi vtraq; ex puncto D ſuſpen
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dantur. </
s
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<
s
id
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">fiat CG æqualis ipſi CD; & vt DC ad CA, ita fiat
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lb
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pondus E ad aliud H; quod appendatur in D. </
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<
s
id
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">vt autem GC ad
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CB, ita fiat pondus F ad aliud K; appendaturq; k in G. </
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s
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<
expan
abbr
="
Quoniã
">Quoniam</
expan
>
enim
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lb
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eſt, vt BC ad CG, hoc eſt ad CD, ita pondus k ad F; erit K ma
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lb
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ius pondere F. </
s
>
<
s
id
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N12329
">quare diuidatur pondus k in L, & MN; fiatq;
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lb
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pars L ipſi F æqualis; erit vt BC ad CD, vt totum LMN ad
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L; & diuidendo, vt BD ad DC, ita pars MN ad partem L. </
s
>
<
s
id
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igitur BD ad DC, ita pars MN ad F. </
s
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<
s
id
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N12336
">vt autem AD ad DB,
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lb
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ita F ad E: quare ex æquali, vt AD ad DC, ita MN ad E. </
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>
<
s
id
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N1233A
">cùm
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arrow.to.target
n
="
note96
"/>
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lb
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verò AD ſit ipſa CD maior; erit & pars MN pondere E
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lb
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maior: diuidatur ergo MN in duas partes MN, ſitq; M æqua
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lb
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lis ipſi E. </
s
>
<
s
id
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">erit vt AD ad DC, vt NM ad M; & diuidendo, vt
<
arrow.to.target
n
="
note97
"/>
<
lb
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AC ad CD, ita N ad M: conuertendoq; vt DC ad CA, ita M
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lb
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ad N. </
s
>
<
s
id
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N1234E
">vt autem DC ad CA, ita eſt E ad H; erit igitur M ad N
<
arrow.to.target
n
="
note98
"/>
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lb
/>
vt E ad H; & permutando, vt M ad E, ita N ad H. </
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>
<
s
id
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N12355
">ſed ME
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arrow.to.target
n
="
note99
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lb
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ſunt inter ſe æqualia, erunt NH inter ſeſe quoq; æqualia. </
s
>
<
s
id
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id.2.1.53.12.1.3.0
">& quo
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lb
/>
niam ita eſt AC ad CD, vt H ad E: pondera HE æqueponde
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lb
/>
rabunt.
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arrow.to.target
n
="
note100
"/>
</
s
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<
s
id
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id.2.1.53.12.1.4.0
">ſimiliter quoniam eſt vt GC ad CB, ita F ad k, ponde</
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