DelMonte, Guidubaldo, Mechanicorvm Liber

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1exiſtente igitur pondere in O, quia angu
lus
SOC non ſolum minor eſt angulo
CKS
, verùm etiam omnium angulorum
à
punctis CS prodeuntium, verticemq;
in
circumferuntia OkG habentium mi­
nimus
; erit angulus SOK, & angulo SkH,
& eiuſmodi omnium minimus.
ergo de­
ſcenſus
ponderis in O propior erit motui
naturali
ipſius in O ſoluti, quàm in alio
ſitu
circumferentiæ OkG.
lineaq; CO
minus
pondus ſuſtinebit, quàm ſi pon­
dus
in quouis alio fuerit ſitu eiuſdem cir
cumferentiæ
OG.
ſimiliter quoniam con
tingentiæ
angulus SOk, & angulo SDA,
& SAO, ac quibuſcunq; ſimilibus eſt mi
nor
; erit deſcenſus ponderis in O motui
naturali
ipſius ponderis in O ſoluti pro­
pior
, quàm in alio ſitu circumferentiæ
ODF
.
Præterea quoniam linea GO pon
dus
in O dum deorſum mouetur, impelle­
re
non poteſt, ita vt vltra lineam OS mo
ueatur
; cùm linea OS circulum non ſecet,
21[Figure 21]
ſed
contingat; anguluſq; SOC ſit rectus, & non acutus; pondus
in
O nihil ſupra lineam CO grauitabit.
neq; centro innitetur. quem
admodum
in quouis alio puncto ſupra O accideret.
erit igitur pon
dus
in O magis ob has cauſas liberum, atq; ſolutum in hoc ſitu,
quàm
in quouis alio circumferentiæ FOG.
ac idcirco in hoc
grauius
erit, hoc eſt magis grauitabit, quàm in alio ſitu.
& quò
propius
fuerit ipſi O remotiori grauius erit.
lineaq; CO horizonti
æquidiſtans
erit.
non tamen puncti C horizonti (vt ipſi exiſti­
mant
) ſed ponderis in O conſtituti, cùm ex centro grauitatis
ponderis
ſummendus ſit horizon.
quæ omnia demonſtrare opor­
tebat
.
18 Tertii.21 primi.

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