DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">PROPOSITIO XXI. </
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<
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">Si tribus duarum trochlearum orbiculis, qua
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rum altera vnius tantùm orbiculi ſupernè à po
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tentia ſuſtineatur, altera verò duorum infernè,
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ponderiq; alligata, collocata fuerit, funis cir
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cumuoluatur; altero eius extremo alicubi, altero
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autem ſuperiori trochleæ religato: pondus poten
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tiæ ſeſquitertium erit. </
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">Sit pondus A trochleæ inferiori alliga
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tum, quæ duos habeat orbiculos, quorum
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centra ſint BC; ſuperiorq; trochlea orbicu
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lum habeat, cuius centrum D; & ſit funis
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EFGHkLMN circa omnes orbiculos re
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uolutus, qui religatus ſit in N, & in E tro
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chleæ ſuperiori; ſit〈qué〉 potentia in O
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ſuſtinens pondus A. </
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<
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">dico pondus po
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tentiæ ſeſquitertium eſſe. </
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<
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">Quoniam enim
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vnuſquiſq; funis NM HG EF KL quar
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tam ſuſtinent partem ponderis A, & omnes
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ſimul totum ſuſtinent pondus; tres HG
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EF kL ſimul tres ſuſtinebunt partes pon
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deris A. </
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<
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">quare pondus A ad hos omnes
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ſimul erit, vt quatuor ad tria: & cùm po
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tentia in O idem efficiat, quod HG EF kL
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ſimul efficiunt; omnes enim ſuſtinet; erit po
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tentia in O tribus ſimul HG EF kL æ
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qualis; & ob id pondus A ad potentiam
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in O erit, vt quatuor ad tria; hoc eſt ſeſqui
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tertium. </
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<
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">quod demonſtrare oportebat.
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