Aristoteles
,
Quæstiones Mechanicæ
,
1585
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<
1 - 30
31 - 51
>
[Note]
Page: 27
[Note]
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[Note]
Page: 28
[Note]
Page: 28
[Note]
Page: 29
[Note]
Page: 29
[Note]
Page: 30
[Note]
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<
1 - 30
31 - 51
>
page
|<
<
(525)
of 31
>
>|
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<
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525
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0525
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n
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22
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rhead
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Mechanicæ.
"/>
<
gap
/>
nim quæ ipſius eſt lateris,
<
reg
norm
="
illam
"
type
="
context
">illã</
reg
>
quæ eſt ſuper dia-
<
lb
/>
metrum. </
s
>
<
s
xml:id
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xml:space
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">& </
s
>
<
s
xml:id
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"
xml:space
="
preserve
">quanto hunc quidem acutiorem fe-
<
lb
/>
ceris, illum verò obtuſum magis: </
s
>
<
s
xml:id
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"
xml:space
="
preserve
">hæc
<
reg
norm
="
quidem
"
type
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">quidē</
reg
>
tar-
<
lb
/>
dior erit, illa verò celerior. </
s
>
<
s
xml:id
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xml:space
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">Hæ
<
reg
norm
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quidem
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type
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">quidẽ</
reg
>
igitur ma-
<
lb
/>
gis contrariæ fiunt, qm̄ obtuſior fit angulus: </
s
>
<
s
xml:id
="
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xml:space
="
preserve
">illæ
<
lb
/>
verò ad
<
reg
norm
="
idem
"
type
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">idẽ</
reg
>
magis, qm̄ lineæ coarctantur: </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ipſum
<
lb
/>
enim A ferè ad idem fertur ſecundum ambas la
<
lb
/>
tiones. </
s
>
<
s
xml:id
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xml:space
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">Coadiuuatur igitur altera: </
s
>
<
s
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xml:space
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">& </
s
>
<
s
xml:id
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"
xml:space
="
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">quanto ſanè
<
lb
/>
acutior fuerit angulus, tanto magis ipſum A ad
<
lb
/>
contrarium: </
s
>
<
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xml:id
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">ipſum. </
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<
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xml:space
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">n. </
s
>
<
s
xml:id
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xml:space
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">ad B fertur: </
s
>
<
s
xml:id
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"
xml:space
="
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">latus
<
reg
norm
="
autem
"
type
="
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">autẽ</
reg
>
de-
<
lb
/>
fertipſum ad D. </
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>
<
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xml:space
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">Et quanto ſanè obtuſior fuerit
<
lb
/>
angulus, magis contrariæ fiunt lationes: </
s
>
<
s
xml:id
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"
xml:space
="
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">rectior
<
lb
/>
enim efficitur linea. </
s
>
<
s
xml:id
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xml:space
="
preserve
">ſi
<
reg
norm
="
autem
"
type
="
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">autẽ</
reg
>
omnino recta fieret,
<
lb
/>
penitus vtique eſſent contrariæ latus verò ſecun
<
lb
/>
dùm vnicam latuum lationem à nullo præpedi-
<
lb
/>
tur: </
s
>
<
s
xml:id
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"
xml:space
="
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">rationabiliter igitur maiorem pertranſit.</
s
>
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xml:id
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xml:space
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</
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<
p
>
<
s
xml:id
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xml:space
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">Dubitatur quam ob cauſam maior circulus ę-
<
lb
/>
qualem minori circulo conuoluit
<
unsure
/>
ur lineam,
<
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="
qum
"
type
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reg
>
<
unsure
/>
<
lb
/>
circa idem centrum fuerint poſiti: </
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>
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s
xml:id
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xml:space
="
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">ſeorſum
<
reg
norm
="
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type
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">autẽ</
reg
>
<
lb
/>
reuoluti, quemadmodum alterius magnitudo ad
<
lb
/>
magnitudiuem ſe habet alterius, fic & </
s
>
<
s
xml:id
="
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xml:space
="
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">
<
reg
norm
="
illorum
"
type
="
context
">illorũ</
reg
>
ad
<
lb
/>
ſeinuicem fiunt lineæ. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">Præterea vno et
<
gap
/>
<
reg
norm
="
am
"
type
="
context
">ã</
reg
>
& </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">
<
reg
norm
="
eodem
"
type
="
context
">eodē</
reg
>
<
lb
/>
v
<
unsure
/>
triſque exiſtente centro, aliquando quidem tan
<
lb
/>
ta ſit linea, quam conuoluuntur, quantam minor
<
lb
/>
per ſe conuoluitur circulus,
<
reg
norm
="
quandoque
"
type
="
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">quandoq;</
reg
>
</
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>
<
s
xml:id
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xml:space
="
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">verò
<
reg
norm
="
quan- tam
"
type
="
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<
lb
/>
tam</
reg
>
maior. </
s
>
<
s
xml:id
="
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xml:space
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">Quòd quidem igitur maiorem con
<
lb
/>
uoluitur maior, manifeſtum eſt. </
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>
<
s
xml:id
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xml:space
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">angulus enim
<
lb
/>
ſen ſu videtur eſſe cuiuſque circunferentia pro-
<
lb
/>
priæ diametri maioris circuli maior, minoris mi
<
lb
/>
nor. </
s
>
<
s
xml:id
="
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"
xml:space
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">quam ob rem eandem habebunt propor-
<
lb
/>
tionem ſecundùm ſenſum ad ſe lineæ. </
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>
<
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">ſecun-
<
lb
/>
dùm quas fuerint conuoluti. </
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>
<
s
xml:id
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xml:space
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">verùm enimuerò
<
lb
/>
quòd etiam æqualem conuoluuntur, quando cir
<
unsure
/>
<
lb
/>
t
<
unsure
/>
a idem fuerint poſiti centrum,
<
reg
norm
="
manifeſtum
"
type
="
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">manifeſtũ</
reg
>
eſt: </
s
>
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xml:id
="
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"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">
<
lb
/>
ſic fiunt aliquando
<
reg
norm
="
quidem
"
type
="
context
">quidē</
reg
>
æquales lineæ, </
s
>
</
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