DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N16D2B
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id.2.1.241.2.0.0.0
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<
lb
/>
tres partes æquales in
<
foreign
lang
="
grc
">γ</
foreign
>
<
foreign
lang
="
el
">d</
foreign
>
; erit vnàquæq; Z
<
foreign
lang
="
grc
">γ γ</
foreign
>
<
foreign
lang
="
el
">d</
foreign
>
<
foreign
lang
="
el
">d</
foreign
>
Y perimetro cy
<
lb
/>
lindri
<
foreign
lang
="
grc
">αβ</
foreign
>
æqualis, quæ
<
expan
abbr
="
etiã
">etiam</
expan
>
perimetro cylindri AB æquales erunt; &
<
lb
/>
per conſequens ipſis IM, & ML. </
s
>
<
s
id
="
N1714F
">connectatur X
<
foreign
lang
="
el
">d</
foreign
>
. </
s
>
<
s
id
="
id.2.1.241.2.1.4.0
">& quoniam
<
lb
/>
duæ HI IL duabus XZ Z
<
foreign
lang
="
el
">d</
foreign
>
ſunt æquales, & angulus HIL re
<
lb
/>
ctus æqualis eſt angulo XZ
<
foreign
lang
="
el
">d</
foreign
>
recto; erit triangulum HIL trian
<
lb
/>
gulo XZ
<
foreign
lang
="
el
">d</
foreign
>
æquale; & angulus HLI angulo X
<
foreign
lang
="
el
">d</
foreign
>
Z æqualis; &
<
lb
/>
<
arrow.to.target
n
="
note328
"/>
X
<
foreign
lang
="
el
">d</
foreign
>
ipſi HL æqualis. </
s
>
<
s
id
="
id.2.1.241.2.1.5.0
">ſed quoniam angulus X
<
foreign
lang
="
el
">d</
foreign
>
Z maior eſt angu
<
lb
/>
lo
<
emph
type
="
italics
"/>
X
<
emph.end
type
="
italics
"/>
YZ; erit angulus HLI angulo
<
emph
type
="
italics
"/>
X
<
emph.end
type
="
italics
"/>
YZ maior. </
s
>
<
s
id
="
id.2.1.241.2.1.6.0
">ac propterea
<
expan
abbr
="
planũ
">planum</
expan
>
<
lb
/>
HL magis horizonti inclinat, quàm XY. </
s
>
<
s
id
="
N17178
">quare
<
expan
abbr
="
idẽ
">idem</
expan
>
<
expan
abbr
="
põdus
">pondus</
expan
>
à minore
<
lb
/>
potentia ſuper
<
expan
abbr
="
planũ
">planum</
expan
>
XY, quàm ſuper
<
expan
abbr
="
planũ
">planum</
expan
>
HL mouebitur; vt faci
<
lb
/>
lè elicitur ex
<
expan
abbr
="
eadẽ
">eadem</
expan
>
nona Pappi. </
s
>
<
s
id
="
id.2.1.241.2.1.7.0
">cùm
<
expan
abbr
="
autẽ
">autem</
expan
>
helices OQRSTVP nihil
<
lb
/>
aliud ſint, quàm
<
expan
abbr
="
planũ
">planum</
expan
>
XY horizonti
<
expan
abbr
="
inclinatũ
">inclinatum</
expan
>
in angulo XYZ cir
<
lb
/>
ca cylindrum
<
foreign
lang
="
grc
">αβ</
foreign
>
circumuolutum; & helices CDEFG nihil ſunt
<
lb
/>
aliud, quàm planum HL horizonti inclinatum in angulo HLI cir
<
lb
/>
ca cylindrum AB circumuolutum; facilius ergo pondus ſuper he</
s
>
</
p
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</
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</
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