DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N16D2B
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id
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id.2.1.237.30.0.0.0
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id.2.1.237.30.1.2.0.a
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<
lb
/>
NM ſit æquidiſtans HI; erit LI ad IH, vt LM ad MN: &
<
lb
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permutando vt IL ad LM; ita HI ad NM. </
s
>
<
s
id
="
id.2.1.237.30.1.2.0.b
">ſed IL dupla eſt ipſius
<
lb
/>
LM; ergo & HI dupla erit MN. </
s
>
<
s
id
="
N16FB2
">ſed eſt etiam dupla ipſius kI,
<
lb
/>
quare kI NM inter ſe æquales erunt. </
s
>
<
s
id
="
id.2.1.237.30.1.3.0
">& quoniam anguli ad MI
<
lb
/>
ſunt recti; erit kM parallelogrammum rectangulum, & kN æqua
<
lb
/>
lis erit IM. </
s
>
<
s
id
="
id.2.1.237.30.1.3.0.a
">quare KN perimetro cylindri AB æqualis erit. </
s
>
<
s
id
="
id.2.1.237.30.1.4.0
">pona
<
lb
/>
tur itaq; HI in GC, erit Hk in GE. </
s
>
<
s
id
="
id.2.1.237.30.1.4.0.a
">circumuoluatur deinde trian
<
lb
/>
gulum HkN circa cylindrum AB, deſcribet HN helicen GFE;
<
lb
/>
cùm NK perimetro cylindri ſit æqualis; & punctum N erit in E;
<
lb
/>
& MN in CE. </
s
>
<
s
id
="
N16FC8
">& quia ML æqualis eſt perimetro cylindri; cir
<
lb
/>
cumuoluatur rurſus triangulum NML circa cylindrum AB, NL
<
lb
/>
deſcribet helicen EDC. </
s
>
<
s
id
="
N16FCE
">quare tota LH duas deſcribet helices
<
lb
/>
CDEFG. </
s
>
<
s
id
="
N16FD2
">patet igitur has helices cochleæ nihil aliud eſſe, ni
<
lb
/>
ſi planum horizonti inclinatum; cuius inclinatio eſt angulus HLI
<
lb
/>
circa cylindrum circumuolutum, ſupra quod pondus mouetur.
<
lb
/>
</
s
>
<
s
id
="
id.2.1.237.30.1.5.0
">
<
lb
/>
quod demonſtrare oportebat. </
s
>
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id.2.1.238.1.0.0.0
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type
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margin
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<
margin.target
id
="
note323
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<
emph
type
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italics
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Ex
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emph.end
type
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4.
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emph
type
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italics
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ſexti.
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type
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"/>
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<
s
id
="
id.2.1.239.1.1.1.0
">Quomodo autem hoc ad libram reducatur
<
expan
abbr
="
mnnifeſtum
">manifestum</
expan
>
eſt ex
<
lb
/>
nona octaui libri eiuſdem Pappi. </
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>
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</
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