DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N1043F
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id.2.1.39.3.0.0.0
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main
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id.2.1.39.3.1.3.0
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036/01/060.jpg
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Deſcenſus igitur, & aſcen
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lb
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ſus ponderum in EF ma
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gis, minuſuè obliquus di
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cetur ſecundùm acceſſum,
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& receſſum iuxta lineas Ek
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lb
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FL deſignatum. </
s
>
<
s
id
="
id.2.1.39.3.1.4.0
">
<
expan
abbr
="
Quoniã
">Quoniam</
expan
>
<
expan
abbr
="
autẽ
">au
<
lb
/>
tem</
expan
>
duo latera AD DC duo
<
lb
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bus lateribus BD DE ſunt
<
lb
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æqualia; anguliq; ad D ſunt
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lb
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<
arrow.to.target
n
="
note65
"/>
recti; erit latus AC lateri
<
lb
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CB æquale. </
s
>
<
s
id
="
id.2.1.39.3.1.5.0
">& cùm pun
<
lb
/>
ctum C ſit immobile; dum
<
lb
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puncta AB mouentur, cir
<
lb
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culi circumferentiam deſcri
<
lb
/>
bent, cuius ſemidiameter
<
lb
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erit AC. </
s
>
<
s
id
="
id.2.1.39.3.1.5.0.a
">quare centro C,
<
lb
/>
circulus deſcribatur AEBF.
<
lb
/>
</
s
>
<
s
id
="
id.2.1.39.3.1.5.0.b
">puncta AB EF in circuli
<
lb
/>
circumferentia erunt. </
s
>
<
s
id
="
id.2.1.39.3.1.6.0
">ſed
<
lb
/>
cùm EF ſit ipſi AB æqua
<
lb
/>
<
arrow.to.target
n
="
note66
"/>
lis; erit circumferentia
<
lb
/>
EAF circumferentiæ AFB
<
lb
/>
æqualis. </
s
>
<
s
id
="
id.2.1.39.3.1.7.0
">quare dempta
<
lb
/>
<
figure
id
="
id.036.01.060.1.jpg
"
place
="
text
"
xlink:href
="
036/01/060/1.jpg
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number
="
44
"/>
<
lb
/>
communi AF, erit circumferentia EA circumferentiæ FB æqua
<
lb
/>
lis. </
s
>
<
s
id
="
id.2.1.39.3.1.8.0
">Quoniam autem mixtus angulus CEA eſt æqualis mixto
<
lb
/>
CFB; & HFB ipſo CFB eſt maior; angulus verò HEA ipſo
<
lb
/>
CEA minor; erit angulus HFB angulo HEA maior. </
s
>
<
s
id
="
id.2.1.39.3.1.9.0
">à quibus
<
lb
/>
<
arrow.to.target
n
="
note67
"/>
ſi auferantur anguli HFG HEk æquales; erit angulus GFB an
<
lb
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gulo kEA maior. </
s
>
<
s
id
="
id.2.1.39.3.1.10.0
">ergo deſcenſus ponderis in E minus obliquus
<
lb
/>
erit aſcenſu ponderis in F. </
s
>
<
s
id
="
N11B6C
">& quamquam pondus in E deſcen
<
lb
/>
dendo, & pondus in F aſcendendo per circumferentias mouean
<
lb
/>
tur æquales; quia tamen pondus in E ex hoc loco rectius deſcen
<
lb
/>
dit, quàm pondus in F aſcendit: idcirco naturalis potentia pon
<
lb
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deris in E reſiſtentiam violentiæ ponderis F ſuperabit. </
s
>
<
s
id
="
id.2.1.39.3.1.11.0
">quare
<
lb
/>
maiorem grauitatem habebit pondus in E, quàm pondus in F. </
s
>
<
s
id
="
id.2.1.39.3.1.11.0.a
">
<
lb
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ergo pondus in E deorſum, pondus verò in F ſurſum mouebitur: </
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