DelMonte, Guidubaldo, Mechanicorvm Liber

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Sit orbiculus trochleæ CEF, cu
ius centrum D; ſitq; axiculus GHk,
cuius idem ſit centrum D. Ducatur
CG DkF diameter horizonti æ­
quidiſtans. & quoniam dum orbi­
culus circumuertitur, circumferen­
tia circuli CEF ſemper eſt æquidi­
ſtans circumferentiæ axiculi GHk;
circa enim axiculum circumuerti­
tur; & circulorum æquidiſtantes cir
cumferentiæ idem habent centrum;
erit punctum D ſemper & orbiculi,
137[Figure 137]
& axiculi centrum. Itaq; cùm DC ſit æqualis DF, & DG ipſi
Dk; erit GC ipſi kF æqualis. ſi igitur in vecte, ſiue libra CF
pondera appendantur æqualia, æqueponderabunt. diſtantia enim
CG æqualis eſt diſtantiæ kF; axiculuſq; GHK immobilis gerit
vicem centri, ſiue fulcimenti. immobili igitur manente axicu­
lo, ſi ponatur in F potentia ſuſtinens pondus in C appenſum; erit
potentia in F ipſi ponderi æqualis. quod erat oſtendendum.
Et cùm idem prorſus ſit, ſiue axiculus circumuertatur, ſiue mi­
nus; liceat propterea in iis, quæ dicenda ſunt, loco axiculi cen­
trum tantùm accipere.
PROPOSITIO II.
Si funis orbiculo trochleæ ponderi alligatæ
circumducatur, altero eius extremo alicubi reli­
gato, altero uerò à potentia pondus ſuſtinente
apprehenſo; erit potentia ponderis ſubdupla.

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