DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Si autem punctum G eſſet
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in centro mundi; tunc quò
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pondus propius fuerit ipſi G,
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grauius erit: & vbicunq; po
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natur pondus præterquàm in
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ipſo G, ſemper centro C inni
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tetur, vt in K. </
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<
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">nam ducta
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G k, efficiet hæc (ſecun
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dùm quam fit ponderis natu
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ralis motus) vná cum libræ
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brachio k C angulum acu
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tum. </
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<
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id
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id.2.1.21.1.2.2.0
">æquicruris enim trian
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guli CkG ad baſim anguli
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ad k, & G ſunt ſemper acuti. </
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Conferantur autem inuicem hæc duo, pondus videlicet in k, &
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pondus in D: erit pondus in k grauius, quàm in D. </
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<
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">nam iuncta
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DG, cùm tres anguli cuiuſcunque trianguli duobus ſint rectis
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æquales, & trianguli CDG æquicruris angulus DCG maior ſit
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angulo kCG æquicruris trianguli CkG: erunt reliqui ad baſim an
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guli DGC GDC ſimul ſumpti reliquis KGCGkC ſimul ſumptis
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minores. </
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<
s
id
="
id.2.1.21.1.2.4.0
">horumq; dimidii; angulus ſcilicet CDG angulo CKG
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minor erit. </
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<
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id
="
id.2.1.21.1.2.5.0
">quare cùm pondus in k ſolutum naturaliter per
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KG moueatur, pondusq; in D per DG, tanquam per ſpatia,
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quibus in centrum mundi feruntur; linea CD, hoc eſt libræ
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brachium magis adhærebit motui naturali ponderis in D pror
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ſus ſoluti, lineæ ſcilicet DG; quàm Ck motui ſecundùm kG
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effecto. </
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<
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="
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">magis igitur ſuſtinebit linea CD, quàm Ck. </
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<
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id
="
id.2.1.21.1.2.7.0
">ac pro
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pterea pondus in k ex ſuperius dictis grauius erit, quàm in D. </
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id.2.1.21.1.2.7.0.a
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Præterea quoniam pondus in K ſi eſſet omnino liberum, prorſuſq;
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ſolutum, deorſum per k G moueretur; niſi à linea C k prohibere
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tur, quæ pondus vltra lineam KG per circumferentiam KH mo
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ueri cogit; linea C k pondus partim ſuſtinebit, ipſiq; renitetur;
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cùm illud per circumferentiam k H moueri compellat. </
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>
<
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id
="
id.2.1.21.1.2.8.0
">&
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quoniam angulus CDG minor eſt angulo CkG, & angulus CDk
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angulo CkH eſt æqualis; erit reliquus GDk reliquo G k H maior. </
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<
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id.2.1.21.1.2.9.0
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circumferentia igitur k H motui naturali ponderis in k ſoluti, li</
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