DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Sit libra horizonti æ
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quidiſtans AB, cuius cen
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trum C ſit ſupra libram,
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perpendiculumq; CD ho
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rizonti perpendiculare,
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quod ex parte D produca
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tur in H. </
s
>
<
s
id
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">Quoniam enim
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lb
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conſiderata libræ grauita
<
lb
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te, erit punctum D libræ
<
lb
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centrum grauitatis. </
s
>
<
s
id
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id.2.1.49.10.1.2.0
">ſi ergo
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lb
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in B paruum imponatur
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pondus, cuius centrum
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<
lb
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grauitatis ſit in puncto B; magnitudinis ex libra AB, & pondere
<
lb
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in B compoſitæ non erit amplius centrum grauitatis D; ſed erit in
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<
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linea DB, vt in E: ita vt DE ad EB ſit, vt pondus in B ad gra
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uitatem libræ AB. </
s
>
<
s
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">Connectatur CE. </
s
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<
s
id
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">Quoniam autem pun
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lb
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ctum C eſt immobile, dum libra mouetur, punctum E circuli cir
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lb
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cumferentiam EFG deſcribet, cuius ſemidiameter CE, & cen
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lb
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trum C. </
s
>
<
s
id
="
N11F4F
">quia verò CD horizonti eſt perpendicularis, linea CE
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lb
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horizonti perpendicularis nequaquam erit. </
s
>
<
s
id
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">quare magnitudo ex
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lb
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AB, & pondere in B compoſita minimè in hoc ſitu manebit; ſed
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n
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deorſum ſecundùm eius grauitatis centrum E per circumferen
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tiam EFG mouebitur; donec CE horizonti perpendicularis eua
<
lb
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dat; hoc eſt, donec CE in CDF perueniat. </
s
>
<
s
id
="
id.2.1.49.10.1.4.0
">atq; tunc libra AB
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lb
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mota erit in kL, in quo ſitu libra vná cum pondere manebit. </
s
>
<
s
id
="
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">nec
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lb
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deorſum amplius mouebitur. </
s
>
<
s
id
="
id.2.1.49.10.1.6.0
">Si verò in B ponatur pondus graui
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lb
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us; centrum grauitatis totius magnitudinis erit ipſi B propius, vt in
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lb
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M. </
s
>
<
s
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N11F72
">& tunc libra deorſum, donec iuncta CM in linea CDH per
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ueniat, mouebitur. </
s
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<
s
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">Ex maiore igitur, & minore pondere in B po
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lb
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ſito, libra plus, minuſuè inclinabitur. </
s
>
<
s
id
="
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">ex quo ſequitur pondus B
<
lb
/>
quarta circuli parte minorem ſemper circumferentiam deſcribe
<
lb
/>
re, cùm angulus FCE ſit ſemper acutus. </
s
>
<
s
id
="
id.2.1.49.10.1.9.0
">nunquam enim punctum
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B vſq; ad lineam CH perueniet, cùm centrum grauitatis ponde
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lb
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ris, & libræ ſimul ſemper inter DB exiſtat. </
s
>
<
s
id
="
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">quò tamen pondus
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in B grauius fuerit, maiorem quoq; circumferentiam deſcribet. </
s
>
<
s
id
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">
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eò enim magis punctum B ad lineam CH accedet. </
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6
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Primi Archim. de æquep.
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1.
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type
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Huius.
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