DelMonte, Guidubaldo
,
Mechanicorvm Liber
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036/01/142.jpg
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id.2.1.141.7.0.0.0
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<
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id
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">Sit orbiculus trochleæ CEF, cu
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ius centrum D; ſitq; axiculus GHk,
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cuius idem ſit centrum D. </
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<
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id.2.1.141.7.1.1.0.a
">Ducatur
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CG DkF diameter horizonti æ
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quidiſtans. </
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<
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">& quoniam dum orbi
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culus circumuertitur, circumferen
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tia circuli CEF ſemper eſt æquidi
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ſtans circumferentiæ axiculi GHk;
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circa enim axiculum circumuerti
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tur; & circulorum æquidiſtantes cir
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cumferentiæ idem habent centrum;
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erit punctum D ſemper & orbiculi,
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& axiculi centrum. </
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<
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">Itaq; cùm DC ſit æqualis DF, & DG ipſi
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Dk; erit GC ipſi kF æqualis. </
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<
s
id
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id.2.1.141.7.1.4.0
">ſi igitur in vecte, ſiue libra CF
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pondera appendantur æqualia, æqueponderabunt. </
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<
s
id
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id.2.1.141.7.1.5.0
">diſtantia enim
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CG æqualis eſt diſtantiæ kF; axiculuſq; GHK immobilis gerit
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vicem centri, ſiue fulcimenti. </
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<
s
id
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id.2.1.141.7.1.6.0
">immobili igitur manente axicu
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lo, ſi ponatur in F potentia ſuſtinens pondus in C appenſum; erit
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potentia in F ipſi ponderi æqualis. </
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<
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="
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">quod erat oſtendendum. </
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</
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<
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id.2.1.141.8.0.0.0
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type
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<
s
id
="
id.2.1.141.8.1.1.0
">Et cùm idem prorſus ſit, ſiue axiculus circumuertatur, ſiue mi
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nus; liceat propterea in iis, quæ dicenda ſunt, loco axiculi cen
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trum tantùm accipere. </
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<
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">PROPOSITIO II. </
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<
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">Si funis orbiculo trochleæ ponderi alligatæ
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circumducatur, altero eius extremo alicubi reli
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gato, altero uerò à potentia pondus ſuſtinente
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apprehenſo; erit potentia ponderis ſubdupla. </
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