DelMonte, Guidubaldo, Mechanicorvm Liber

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1teri Ek æquale. cùm
autem
angulus DCA
ſit
angulo ECB æqua­
lis
: erit quoq; circum­
ferentia
DA circumferen­
tiæ
BE æqualis.
dum
itaq
; pondus in D de­
ſcendit
per circumfe­
rentiam
DA, pondus
in
E per circumferen­
tiam
EB ipſi DA æ­
qualem
aſcendit.
& de­
ſcenſus
ponderis in D de
directo
(more ipſorum)
35[Figure 35]
capiet
DH; aſcenſus verò ponderis in E de directo capiet Ek ip
ſi
DH æqualem: erit itaq; deſcenſus ponderis in D aſcenſui pon
deris
in E æqualis, & qualis erit propenſio vnius ad motum deor
sum
, talis etiam erit reſiſtentia alterius ad motum ſurſum.
re­
ſiſtentia
ſcilicet violentiæ ponderis in E in aſcenſu naturali po­
tentiæ
ponderis in D in deſcenſu contrà nitendo apponitur; cùm
ſit
ipſi æqualis.
quò enim pondus in D naturali potentia deor
ſum
velocius deſcendit, tardius pondus in E violenter aſcendit.

quare
neutrum ipſorum alteri præponderabit, cùm ab æquali non
proueniat
actio.
Non igitur pondus in D pondus in E ſurſum
mouebit
.
ſi enim moueret; neceſſe eſſet, pondus in D maiorem
habere
virtutem deſcendendo, quàm pondus in E aſcendendo;
ſed
hæc ſunt æqualia: ergo pondera manebunt.
& grauitas pon­
deris
in D grauitati ponderis in E æqualis erit.
Præterea quoniam
ſupponunt
, quò pondus à linea directionis FG magis diſtat,
grauius
eſſe: Idcirco ductis quoq; à punctis DE ipſi FG perpen
dicularibus
DO EI; ſimili modo demonſtrabitur, triangulum
CDO
triangulo CEI æqualem eſſe: & lineam DO ipſi EI æqua
lem
.
tam igitur diſtat à linea FG pondus in D, quàm pondus in
E
.
ex ipſorum igitur rationibus, atq; ſuppoſitionibus, pondera
in
DE æquè grauia erunt.
Amplius quid prohibet, quin libram
DE
ex neceſsitate in FG moueri ſimili ratione oſtendatur?
Pri­

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