Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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15
15
*DE* S*TATICÆ ELEMENTIS*.
1
Exemplum
.
D*ATVM*
.
Pondus
A
ſuſpenſum
è
C
libras
tres
,
pondusalterum
B
ſuſpen-
ſum
è
D
unam
pendeat
,
denique
CD
jugum
ſit
.
Q*VAESITVM*
.
Anſa
invenienda
nobis
eſt
.
PRAGMATIA
.
18
[Figure 18]
CD
ita
dividitor
,
ut
majus
ſegmentum
quod
minoris
ponderis
eſt
pendulam
diametrum
verſus
,
illam
rationem
habeat
ad
minus
,
quam
majus
pondus
ad
minus
.
Sitq́ue
in
E
,
ut
quemadmodum
3
℔
A
,
ad
1
℔
B
:
ſic
ſit
ED
,
ad
EC
.
Dico
lineam
per
E
pendulam
,
eſſe
anſam
.
2
Exemplum
.
D*ATVM*
.
Datum
pondus
eſto
columna
ABCD
6
℔
pendens
,
ſimiliter
columnæ
primæ
propoſitionis
diviſa
.
&
ex
Q
ſuſpenſum
pondus
Y
℔
12
.
Q*VAE
SITVM*
.
Anſa
invenienda
eſt
.
*PRAGMATIA*
.
19
[Figure 19]
Columnæ
pendula
gravitatis
diametrus
eſt
IT
,
ponderis
verò
Y
eſt
BQ
,
TQ
ju-
gum
ita
dirimédum
eſt
,
ut
ejus
ſegmenta
ra-
tionem
habeant
,
quæ
eſt
inter
12
℔
Y
, &
6
℔
columnæ
,
breviusq́
;
ſegmentum
pon-
deroſioris
Y
diametrum
verſus
ſit
,
quæ
eſt
in
X
.
ut
NX
anſa
ſit
quæſita
.
3
Exemplum
.
D*ATVM*
.
ABCD
iterum
columna
eſto
.
ſecta
ut
paulò
ante
, &
Y
6
℔
ex
X
pendeto
.
20
[Figure 20]
Q*VAESITVM*
.
Anſa
eſt
nobis
quærĕda
.
*PRAGMATIA
.
*
Columnę
pendula
diameter
eſt
IT
pon-
deris
verò
Y
,
NX
,
TX
jugum
ita
parti-
tum
,
ut
ſegmenta
rationem
habeant
6
℔
Y
,
ad
6
℔
columnæ
,
quod
in
V
incidit
,
eritq́ue
VL
anſa
quæſita
.
*PRAGMATIA
ALIVSMODI
.
*
PEndula
diametros
ponderis
MLBCY
eſt
NX
,
MLAD
verò
eſt
SG
,
&
jugum
XS
,
quod
ita
ſecandum
eſt
,
ut
ſegmentorũ
ratio
ſit
eadem
quæ
8
℔
pondens
MLBCY
ad
4
℔
MLAD
, &
illorum
brevius
à
diametro
pen-
dulâ
quæ
eſt
V
gravius
pondus
verſus
ſit
,
atque
hoc
modo
VL
quæſita
erit
anſa
,
ut
prius
.
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