DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N1043F
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31
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dus E pondere L maius. </
s
>
<
s
id
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id.2.1.53.10.1.6.0
">diuidatur itaq; pondus E in duas partes
<
lb
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NO ita, vt pars O ſit ipſi L æqualis, erit HC ad CG, vt to
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tum NO ad O; & diuidendo, vt HG ad GC, ita N ad O:
<
arrow.to.target
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note84
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conuertendoq; vt CG ad GH, ita O ad N. </
s
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<
s
id
="
N12243
">& iterum com
<
lb
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ponendo, vt CH ad HG, ita ON ad N. </
s
>
<
s
id
="
N12247
">vt autem GH
<
arrow.to.target
n
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note85
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<
lb
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ad HB, ita eſt F ad ON. </
s
>
<
s
id
="
N1224E
">quare ex æquali, vt CH ad HB, ita F
<
arrow.to.target
n
="
note86
"/>
<
lb
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ad N. ſed vt CH ad HB ita eſt Q ad R: erit igitur Q ad R, vt
<
arrow.to.target
n
="
note87
"/>
<
lb
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F ad N; & permutando, vt Q ad F, ita R ad N. </
s
>
<
s
id
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N1225A
">eſt autem pars
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arrow.to.target
n
="
note88
"/>
<
lb
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Q ipſi F æqualis; quare & pars R ipſi N æqualis erit. </
s
>
<
s
id
="
id.2.1.53.10.1.7.0
">Itaq; cùm
<
lb
/>
pondus L ſit ipſi O æquale, & pondus F ipſi Q etiam æquale, atq;
<
lb
/>
pars R ipſi N æqualis; erunt pondera LM ipſis EF ponderibus
<
lb
/>
æqualia. </
s
>
<
s
id
="
id.2.1.53.10.1.8.0
">& quoniam eſt, vt AC ad CG, ita pondus E ad pon
<
lb
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dus L; pondera EL æqueponderabunt. </
s
>
<
s
id
="
id.2.1.53.10.1.9.0
">ſimiliter quoniam eſt, vt
<
arrow.to.target
n
="
note89
"/>
<
lb
/>
AC ad CB, ita
<
expan
abbr
="
pundus
">pondus</
expan
>
F ad pondus M; pondera quoq; FM
<
lb
/>
æqueponderabunt. </
s
>
<
s
id
="
id.2.1.53.10.1.10.0
">Pondera igitur LM ponderibus EF in BG
<
arrow.to.target
n
="
note90
"/>
<
lb
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appenſis æqueponderabunt. </
s
>
<
s
id
="
id.2.1.53.10.1.11.0
">cùm autem diſtantia CA æqualis ſit
<
lb
/>
diſtantiæ CH; ſi igitur vtraq; pondera EF in H appendantur,
<
lb
/>
pondera LM ipſis EF ponderibus in H appenſis æquepondera
<
lb
/>
bunt. </
s
>
<
s
id
="
id.2.1.53.10.1.12.0
">ſed LM ipſis EF in GB quoq; æqueponderant: æquè
<
arrow.to.target
n
="
note91
"/>
<
lb
/>
igitur grauia erunt pondera EF in GB, vt in H appenſa. </
s
>
<
s
id
="
id.2.1.53.10.1.13.0
">tàm igi
<
lb
/>
tur ponderabunt in BG, quàm in H appenſa.
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</
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</
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<
s
id
="
id.2.1.53.11.1.1.0
">Sint autem pondera EF in CB appenſa; ſitq; C libræ centrum;
<
lb
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& diuidatur CB in H, ita vt CH ad HB ſit, vt pondus in F ad
<
lb
/>
E. </
s
>
<
s
id
="
id.2.1.53.11.1.1.0.a
">Dico pondera EF tàm in CB ponderare, quàm in puncto H. </
s
>
<
s
id
="
id.2.1.53.11.1.1.0.b
">
<
lb
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fiat CA ipſi CH æqualis, & vt CA ad CB, ita fiat pondus F ad
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lb
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aliud D, quod appendatur in A. </
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>
<
s
id
="
id.2.1.53.11.1.1.0.c
">Quoniam enim CH eſt æqua</
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