DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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id
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">Sit pondus A, ſit orbiculus trochleæ ſur
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ſum appenſæ' cuius centrum K; ſit deinde
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funis HBCDEF aligatus ponderi A in H,
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orbiculoq; circumductus; ſitq; trochlea ita in
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L appenſa, & nullum alium habeat motum
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præter liberam orbiculi circa axem verſionem;
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ſitq; potentia in F mouens pondus A. </
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<
s
id
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id.2.1.159.9.1.1.0.a
">Dico
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lb
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potentiam in F ſemper mouere pondus A
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lb
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vecte horizonti æquidiſtante. </
s
>
<
s
id
="
id.2.1.159.9.1.2.0
">ducatur BKE
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horizonti æquidiſtans; ſintq; BE puncta, vbi
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funes BH, & EF circulum tangunt; erit BkE
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<
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n
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vectis, cuius fulcimentum eſt in eius medio
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k. </
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<
s
id
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">ſicut ſupra oſtenſum eſt. </
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<
s
id
="
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">dum itaq; vis
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in F deorſum tendit verſus M, vectis EB
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lb
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mouebitur, cùm totus orbiculus moueatur,
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hoc eſt circumuertatur. </
s
>
<
s
id
="
id.2.1.159.9.1.5.0
">dum igitur F eſt in M, ſit punctum E ve
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lb
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ctis vſq; ad I motum; B autem vſq; ad C, ita vt vectis ſit in
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CI. </
s
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<
s
id
="
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">fiat deinde NM æqualis ipſi FE: & quando punctum E
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lb
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erit in I,
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expan
abbr
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tnnc
">tunc</
expan
>
funis punctum, quod erat in E, erit in N: quod au
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lb
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tem erat in B erit in C; ita vt ducta CI per centrum K tranſeat. </
s
>
<
s
id
="
id.2.1.159.9.1.6.0
">
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lb
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dum autem B eſt in C, ſit punctum H in G; eritq; BH ipſi
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CBG æqualis; cùm ſit idem funis. </
s
>
<
s
id
="
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">& quoniam dum EF tendit
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in NM, adhuc ſemper remanet EFM horizonti perpendicularis,
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circulumq; tangens in puncto E; ita vt ducta à puncto E per cen
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trum k, ſit ſemper horizonti æquidiſtans. </
s
>
<
s
id
="
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">quod idem euenit funi
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lb
/>
BG, & puncto B. </
s
>
<
s
id
="
N14AA4
">dum igitur circulus, ſiue orbiculus circumuer
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lb
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titur, ſemper mouetur vectis EB, ſemperq; adhuc remanet alius
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lb
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vectis in EB. </
s
>
<
s
id
="
id.2.1.159.9.1.8.0.a
">ſiquidem ex ipſius rotulæ natura, in qua ſemper
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dum mouetur, remanet diameter ex B in E (quæ vectis vicem ge
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lb
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rit) euenit, vt recedente vna, ſemper altera ſuccedat; eiuſmodi
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durante circumductione: atq; ita fit, vt potentia ſemper moueat
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pondus vecte EB horizonti æquidiſtante. </
s
>
<
s
id
="
id.2.1.159.9.1.9.0
">quod demonſtrare opor
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tebat. </
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1
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Huius.
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