DelMonte, Guidubaldo
,
Mechanicorvm Liber
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lis CA, erit CH ad CB, vt F ad D; & maior quidem eſt CB,
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quàm CH; idcirco D pondere F maius erit. </
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<
s
id
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id.2.1.53.11.1.2.0
">Diuidatur ergo D
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in duas partes Gk, ſitq; G ipſi F æqualis; erit vt BC ad CH,
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vt Gk ad G; & diuidendo, vt BH ad HC, ita K ad G; & conuer
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tendo, vt CH ad HB, ita G ad k. </
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<
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">Vt autem CH ad HB, ita eſt
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lb
/>
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F ad E. </
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<
s
id
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">vt igitur G ad k, ita eſt F ad E; & permutando vt G
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ad F, ita k ad E. </
s
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<
s
id
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">ſunt autem GF æqualia; erunt & kE inter ſe
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lb
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ſe æqualia. </
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>
<
s
id
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">cùm itaq; pars G ſit ipſi F æqualis, & K ipſi E; erit
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lb
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totum C k ipſis EF ponderibus æquale. </
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<
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">& quoniam AC eſt ip
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ſi CH æqualis; ſi igitur pondera EF ex puncto H ſuſpendantur,
<
lb
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pondus D ipſis EF in H appenſis æqueponderabit. </
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>
<
s
id
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id.2.1.53.11.1.6.0
">ſed & ipſis
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lb
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æqueponderat in CB, hoc eſt F in B, & E in C; cùm ſit vt AC
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ad CB, ita F ad. D. </
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>
<
s
id
="
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">pondus enim E ex centro libræ C ſuſpen
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ſum non efficit, vt libra in alterutram moueatur partem. </
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<
s
id
="
id.2.1.53.11.1.8.0
">tàm igi
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tur grauia erunt pondera EF in CB, quàm in H appenſa. </
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