Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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142
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rhead
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IO. BAPT. BENED.
"
n
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154
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file
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0154
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0154
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quetur dictum pondus grauius futurum pro parte
<
var
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var
>
quam pro ea, quæ eſt
<
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>.A.F.</
var
>
&
<
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minus ſupra centrum
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>.B.</
var
>
pro dicta parte
<
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>.F.C.</
var
>
quam pro parte
<
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>.A.F.</
var
>
quieturum; </
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>
<
s
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xml:space
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">&
<
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dictum brachium quanto magis orizontale erit à ſitu
<
var
>.B.F.</
var
>
tantò minus-ſupra dictum
<
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/>
centrum
<
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>.B.</
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>
quieſcet, & hac ratione grauius quoque erit, & quanto magis vicinum
<
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/>
erit ipſi
<
var
>.A.</
var
>
à dicto
<
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>.F.</
var
>
tantò magis ſuper centrum
<
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>.B.</
var
>
quoque quieſcet, vnde
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norm
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tantò
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type
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quo-
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que leuius exiſtet. </
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<
s
xml:id
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xml:space
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">Idem dico de omni ſitu brachij per girum inferiorem
<
var
>.C.Q.</
var
>
vbi
<
lb
/>
pondus pendebit à centro
<
var
>.B.</
var
>
dictum centrum attrahendo, quemadmodum ſuperius
<
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/>
illud impellebat. </
s
>
<
s
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xml:space
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">Hæc verò omnia cap. ſequenti melius percipientur.</
s
>
</
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</
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<
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style
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xml:space
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">De proportione ponderis extremitatis brachij libr &
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in diuerſo ſitu ab orizontali.</
head
>
<
head
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xml:space
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">CAP. II.</
head
>
<
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<
emph
style
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">PRoportio</
emph
>
ponderis in
<
var
>.C.</
var
>
ad idem pondus in F. erit quemadmodum totius
<
lb
/>
brachij
<
var
>.B.C.</
var
>
ad partem
<
var
>.B.u.</
var
>
poſitam inter centrum & lineam
<
var
>.F.u.M.</
var
>
inclinatio-
<
lb
/>
nis, quam pondus ab extremitate
<
var
>.F.</
var
>
liberum verſus mundi
<
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centrum
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type
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conficeret. </
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<
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xml:space
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">Quod
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vt facilius intelligamus imaginemur
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type
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>
brachium libræ
<
var
>.B.D.</
var
>
& in extremo
<
var
>.D.</
var
>
<
lb
/>
locatum aliquod pondus minus pondere
<
var
>.C.</
var
>
vt
<
var
>.B.u.</
var
>
pars
<
var
>.B.C.m.</
var
>
nor eſt
<
var
>.B.D.</
var
>
cla-
<
lb
/>
rè cognoſcetur ex .6. lib. primi de ponderibus Archimedis, quòd ſi in puncto
<
var
>.u.</
var
>
col-
<
lb
/>
locatum erit pondus ipſius
<
var
>.C.</
var
>
libra nihil penitus à ſitu orizontali dimouebitur. </
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>
<
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xml:space
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">Sed
<
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perinde eſt quòd pondus
<
var
>.F.</
var
>
æquale
<
var
>.C.</
var
>
ſit in extremo
<
var
>.F.</
var
>
in ſitu brachij
<
var
>.B.F.</
var
>
<
reg
norm
="
quam
"
type
="
context
">quã</
reg
>
vt ſit
<
lb
/>
in puncto
<
var
>.u.</
var
>
in ſitu ipſius
<
var
>.B.u.</
var
>
orizontali. </
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>
<
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xml:space
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">Ad cuius rei euidentiam imaginemur
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filum
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type
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<
var
>.
<
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F.u.</
var
>
perpendiculare, & in cuius extremo
<
var
>.u.</
var
>
pendere pondus, quod erat in
<
var
>.F.</
var
>
vnde cla
<
lb
/>
rum erit quòd eundem effectum gignet, ac ſi fuiſſet in
<
var
>.F.</
var
>
quod, vt iam diximus re-
<
lb
/>
manens affixum puncto
<
var
>.u.</
var
>
brachij
<
var
>.B.u.</
var
>
tantò minus graue eſt ſitu ipſius
<
var
>.C.</
var
>
quantò
<
var
>.u.
<
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/>
B.</
var
>
minus eſt ipſo
<
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>.B.C</
var
>
. </
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>
<
s
xml:id
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xml:space
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">Idem aſſero ſi brachium eſſet in ſitu
<
var
>.e.B.</
var
>
quod facilè cogno-
<
lb
/>
ſcere poterimus, ſi imaginemur filum appenſum ipſi
<
var
>.u.</
var
>
brachij
<
var
>.B.C.</
var
>
& vſque ad
<
var
>.e.</
var
>
<
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<
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type
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>
, in quo extremo
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type
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eſſet pondus æquale ponderi
<
var
>.C.</
var
>
&
<
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norm
="
liberum
"
type
="
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">liberũ</
reg
>
<
lb
/>
ab
<
var
>.e.</
var
>
brachij
<
var
>.B.e.</
var
>
vnde libra orizontalis manebit. </
s
>
<
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xml:space
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preserve
">Sed ſi brachium
<
var
>.B.e.</
var
>
conſolida-
<
lb
/>
tum fuiſſet in tali ſitu cum orizontali
<
var
>.B.D.</
var
>
<
lb
/>
<
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number
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210
">
<
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0154-01
"/>
</
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&
<
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appenſo
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type
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<
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type
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<
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in
<
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>
libero à filo, nec
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,
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deſcenderet. </
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<
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xml:space
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">quia tantum
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eſt quod ipſum ſit appenſum filo,
<
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quod
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>
pendet
<
lb
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ab
<
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>.u.</
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>
quantum quòd ab ipſo liberum
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"
type
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>
<
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nſum fuiſſet
<
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>.e.</
var
>
brachij
<
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>.B.e.</
var
>
& hoc procede
<
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/>
ret ab eo quòd partim pendereta centro
<
var
>.
<
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B.</
var
>
& ſi
<
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brachium
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eſſet in ſitu
<
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>.B.Q.</
var
>
totum
<
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pon
"
type
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reg
>
<
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/>
dus centro
<
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>.B.</
var
>
remaneret appenſum,
<
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quem- admodum
"
type
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admodũ</
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>
in ſitu
<
var
>.B.A.</
var
>
<
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norm
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totum
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type
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dicto centro an-
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niteretur. </
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>
<
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xml:space
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">vnde fit vt hoc modo pondus
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magis aut minus ſit graue, quò magis
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lb
/>
aut minus à centro pendet, aut eidem niti-
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lb
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tur: </
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>
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<
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hæc eſt cauſa proxima, & per ſe,
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<
handwritten
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hd-0154-01
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hd-0154-01a
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2
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qua fit vt vnum
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idemque
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type
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">idemq;</
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>
pondus in vno eo-
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<
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demque
"
type
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">demq́;</
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>
medio magis aut minus graue exi- </
s
>
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