DelMonte, Guidubaldo - Mechanicorvm Liber

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COROLLARIVM I.

Hinc manifeſtum eſt vnumquemq; funem EF
GK LN OP quartam ſuſtinere partem pon
deris A.

COROLLARIVM II.

Patet etiam orbiculum, cuius centrum C,
non minus eo, cuius centrum eſt B, ſuſtinere.

ALITER.

Adhuc iiſdem poſitis, ſi duæ eſſent poten
tiæ æquales pondus A ſuſtinentes, vna in O
altera in C; eſſet vnaquæq; dictarum poten
tiarum ponderis A ſubtripla. ſed quoniam
vectis GF, cuius fulcimentum eſt F bifariam
diuiſus eſt in C; ſi igitur ponatur in G poten
tia idem pondus ſuſtinens, vt potentia in C;
erit potentia in G ſubdupla potentiæ, quæ eſ
ſet in C; nam ſi potentia in C ſe ipſa pon
dus in C appenſum ſuſtineret, eſſet vtiq; ip
ſi ponderi æqualis; & idem pondus, ſi à po
tentia in G ſuſtineretur, eſſet ipſius poten
tiæ in G duplum; potentia veró in C ſubtri
pla eſſet ponderis A; ergo potentia in G
ſubſexcupla eſſet ponderis A. Cùm itaq;
potentia in O ſubtripla ſit ponderis A, &
potentia in G ſubſexcupla; erunt vtræq; ſi
mul potentiæ in OG ipſius ponderis A ſub
duplæ. tertia enim pars cum ſexta dimi
dium efficit. quoniam autem potentiæ in
OG, ſiue in PH (vt prius dictum eſt)
ſunt inter ſe æquales, ac vtræq; ſimul ſubdu
plæ ſunt ponderis A. erit vnaquæq; poten

150[Figure 150]

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