DelMonte, Guidubaldo, Mechanicorvm Liber

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73MN: tres igitur potentiæ æquales in BDE totum ſuſtinebunt pon
dus G; & vnaquæq; potentia in BD duplum ſuſtinebit eius, quod
ſuſtinet potentia in E.
Cùm itaq; potentia in E partem H ſuſti­
neat, quæ quinta eſt pars ponderis G, ipſiq; ſit æqualis; erit po
tentia in E ſubquintupla ponderis G.
& quoniam potentia in B
partes kL ſuſtinet, quæ quidem duplæ ſunt potentiæ B, & partis H;
erit quoq; potentia in B ipſi H æqualis: quare ſubquintupla erit
ponderis G.
Non aliter oſtendetur potentiam in D ſubquintu­
plam eſſe ponderis G.
vnaquæq; igitur potentia in BDE ſubquin­
tupla eſt ponderis G.
quod demonſtrare oportebat.
2 Huius. de vecte.In 6 Huius
Si verò ſint tres vectes AB
CD EF bifariam diuiſi in
GHk, quorum fulcimenta
ſint ACE; & pondus L eo
dem modo in GHk ſit ap­
penſum; quatuorq; ſint po­
tentiæ æquales in BDFG
pondus L ſuſtinentes; ſimili
modo oſtendetur vnam­
quamq; potentiam in BD
FG ſubſeptuplam eſſe ponde
ris L.
& ſi quatuor eſſent vectes, & quinq; potentiæ æquales pon­
dus ſuſtinentes; eodem quoq; modo oſtendetur vnamquamq;
potentiam ſubnonuplam eſſe ponderis.
atq; ita deinceps.
153[Figure 153]
PROPOSITIO VIIII.
Si quatuor duarum trochlearum binis orbi­
culis, quarum altera ſupernè, altera vero in­
fernè, ponderiq; alligata, diſpoſita fuerit, cir
cumducatur funis; altero eius extremo inferiori

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