Aristoteles
,
Quæstiones Mechanicæ
,
1585
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<
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Mechanicæ.
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res fuerint,
<
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idem
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type
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facient, uno ſolo commoto. </
s
>
<
s
xml:id
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echoid-s77
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xml:space
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preserve
">Hane
<
lb
/>
igitur in circulo exiſtentem animaduertens na-
<
lb
/>
turam architecti, in
<
reg
norm
="
ſtrumentum
"
type
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context
">ſtrumentũ</
reg
>
fabricant,
<
reg
norm
="
celantes
"
type
="
context
">celãtes</
reg
>
<
lb
/>
principium, vt machinæ ſolum manifeftum ſit il
<
lb
/>
lud, quod
<
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type
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pręſtat, cauſa verò lateat.</
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</
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<
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<
s
xml:id
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"
xml:space
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">In primis igitur, quæ accidunt circa
<
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reg
>
, du-
<
lb
/>
bitare faciunt, quamnàm ob cauſam exactiores
<
lb
/>
minoribus maiores ſunt libræ. </
s
>
<
s
xml:id
="
echoid-s80
"
xml:space
="
preserve
">huius autem rei
<
lb
/>
principium eſt, quamobrem in ipſo circulo, quæ
<
lb
/>
plus à cent
<
unsure
/>
ro diſter linea,
<
reg
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="
eadem
"
type
="
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">eadẽ</
reg
>
ui
<
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commota
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type
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>
cit
<
unsure
/>
ius
<
lb
/>
fertur, quàm illa, quæ minus diſtar. </
s
>
<
s
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xml:space
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">Citius enim
<
lb
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bifariam dicitur: </
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>
<
s
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xml:space
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">ſiue enim in minori tempore
<
lb
/>
zqualem pertranſi
<
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<
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locum
"
type
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, citius feciſſe dicimus:
<
lb
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</
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<
s
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xml:space
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">ſeu in æquali maiorem. </
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>
<
s
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xml:space
="
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">Maior autem in æquali
<
lb
/>
tempore maiorem deſcribit circulum: </
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>
<
s
xml:id
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echoid-s85
"
xml:space
="
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">qui enim
<
lb
/>
extra eſt, maior eo qui intus eft. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">Horum
<
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norm
="
autem
"
type
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reg
>
cau
<
lb
/>
fa, qm̄ duas fertur lationesea, quæ circulum de-
<
lb
/>
ſcribit, linea. </
s
>
<
s
xml:id
="
echoid-s87
"
xml:space
="
preserve
">Quandoquidem igitur in propor-
<
lb
/>
tione fertur aliqua id, quod fertur, ſuper rectam
<
lb
/>
ferri neceſſe: </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">hæc diameter efficitur figuræ,
<
lb
/>
quam faciunt illæ, quæ in huiuſmodi proportio
<
lb
/>
ne
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norm
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coaptantur
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type
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">coaptant̃</
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, lineę. </
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xml:space
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<
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ſecundum
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>
<
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quam latum fertur, quam habet A B ad AC: </
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>
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xml:space
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">& </
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>
<
s
xml:id
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xml:space
="
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">A
<
lb
/>
quidem fertur verſus B, A B uerò ſubterferatur
<
lb
/>
verſus M C: </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">latum aut
<
unsure
/>
em ſit A quidem ad D. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ubi
<
lb
/>
autem eſt A B, uerſus E: </
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>
<
s
xml:id
="
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"
xml:space
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<
reg
norm
="
quoniam
"
type
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reg
>
igitur la
<
gap
/>
ionis
<
lb
/>
erat proportio, quam A B habet ad A C, neceſſe
<
lb
/>
eſt & </
s
>
<
s
xml:id
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"
xml:space
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">A D ad A E hanc habere proportionem. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">Si-
<
lb
/>
mile igitur eſt proportione paruum quadrilate-
<
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rum maiori; </
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>
<
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xml:space
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<
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quamobrem
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& </
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<
reg
norm
="
eadem
"
type
="
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">eadẽ</
reg
>
illorum eſt dia-
<
lb
/>
meter: </
s
>
<
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"
xml:space
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">& </
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>
<
s
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">A erit ad F. </
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s
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xml:space
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">Eodem etiam
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type
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>
mo-
<
lb
/>
do, vbicu
<
unsure
/>
<
reg
norm
="
nque
"
type
="
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">nq;</
reg
>
</
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>
<
s
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"
xml:space
="
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">latio deprehendatur; </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ſemper enim
<
lb
/>
ſupra diametrum erit. </
s
>
<
s
xml:id
="
echoid-s105
"
xml:space
="
preserve
">Manifeſtum igitur, quòd
<
lb
/>
id, quod ſecundum diametrum duabus fertur la
<
lb
/>
tionibus, neceſſariò ſecundum laterum </
s
>
</
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