DelMonte, Guidubaldo
,
Mechanicorvm Liber
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xlink:href
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036/01/182.jpg
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<
s
id
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">Sit motus orbiculus à centro A
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vſq; ad centrum L; & pondus B,
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hoc eſt punctum C, in eodem tem
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pore ſit motum in P; & potentia in
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H vſq; ad K; erit AH ipſi LK æqua
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lis, & AL ipſi Hk. </
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<
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id
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id.2.1.169.10.1.2.0
">& quoniam fu
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nis CDEFG eſt æqualis funi PM
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NOG, idem enim eſt funis, & fu
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nis circa ſemicirculum MNO æ
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qualis eſt funi circa ſemicirculum
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DEF; demptis igitur communi
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bus DP FG, erit PC æqualis
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DM FO ſimul ſumptis, qui funes
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ſunt dupli ipſius AL, & conſequen
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ter ipſius Hk. </
s
>
<
s
id
="
id.2.1.169.10.1.3.0
">ſpatium ergo pon
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deris moti CP duplum eſt ſpatii
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Hk potentiæ. </
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<
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">quod oportebat de
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monſtrare. </
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type
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<
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">COROLLARIVM </
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<
s
id
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">Ex hoc manifeſtum eſt, idem pondus trahi
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ab eadem potentia in æquali tempore per du
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plum ſpatium trochlea hoc modo accommoda
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ta, quàm ſine trochlea; dummodo ipſius poten
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tiæ lationes in velocitate ſint æquales. </
s
>
</
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<
p
id
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id.2.1.169.12.0.0.0
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type
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<
s
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">Spatium enim ponderis moti ſine trochlea æquale eſt ſpatio
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potentiæ. </
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