Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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punctoque
B
,
ab
A
perneniret
lapſu
verticali.
Cùm
enim
illa
duo
ſeg-
menta
Sphærica
GHF, GIF,
habeant
centrum
grauitatis
in
lineà
GF: ſit〈que〉
F
hypomochlium
, æquiponderabunt:
quare
reliqua
tantum
Sphæræ
pars
GKFI
deorſum
producet
impulſum
:
Quare
&
im-
pulſus
motum
ſibi
æqualem
per
prop: 2.
Doctoris
.
Eſt
autem
ita
pars
Sphæræ
GKFI
ab
totam
Sphæram
,
ita
partis
eiuſdem
impulſus
ab
to-
tius
Sphæræ
impulſum
per
propoſ: 2.
in
Archimede
promoto
:
quare
&
mo-
tus
partis
eiuſdem
ab
motum
totius
ergo
in
eadem
ratione
.
Permutan-
do
erit
&
velocitas
partis
ab
velocitatem
totius
per
Propoſ. 10.
Doctor
:
erit
et
interuallum
bsf
ab
interuallum
BA,
uti
pars
Sphæræ
GK
FI
ab
totam
Sphæram
per
propſ: 7.
eiuſdem
.
[Figure 3]
Sed
pars
GKFI
non
eſt
ab
totam
Sphæram
uti
CD
ab
DF,
quem
certum
eſt
: &
patet
eg
hoc
diſcurſu
.
Fingatur
enim
mente
recta
H
D
per
verticalem GF
diuiſa
bifariam
.
tunc
ſi
eſſet
ita
CD
ab
FD
Sim-
pla
ab
duplam
,
ita
reliqua
magnitudo
(
ablatis
duobus
ſegmentis
Sphæ-
ricis
illis
dictis
)
ab
totam
:
Eſſet
etiam
tota
magnitudo
dupla
illius
partis
GKFI:
quem
ab
oculum
falſum
factâ
figurâ
apparebit
.
erit
ne〈que〉
interuallum
bsf
ab
interuallum
BA,
uti
CD
ab
DF,
quem
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