Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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<
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">Vt autem vna libra.]
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Syllogiſmus poſterior ſic eſt.
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Multæ ſimul libræ magna expendunt pondera.
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Statera, cui plures anſæ adiectæ ſunt, vel vna, ſed per plura
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puncta mobilis, eſt multæ libræ ſimul.
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Ergo ſtatera magna expendet pondera.
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Statera certe multæ ſunt libræ actu & poteſtate. </
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<
s
id
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">Et primum actu
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cum anſæ ( ſic enim
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<
foreign
lang
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el
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foreign
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type
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exprimi debere declarant multi
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huius contextus loci inter ſe comparati ) plures ſunt in vno ſcapo, vt
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duæ, quod frequentißimum, vel tres, quod rarius: cuiuſmodi ſunt in
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A B ſcapo
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duæ C D, E F
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quarum pro
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piore lanci,
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qui vtuntur,
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pondera ad
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<
expan
abbr
="
craßiorẽ
">craßiorem</
expan
>
tru
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tinam ſe ex
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pendere dicunt. </
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>
<
s
id
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">quod huius notæ longius inter ſe diſtent: qui vero re
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motiore, ad ſubtiliorem, vt in qua notæ minus diſtent in lateribus
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ſcapi ſignatæ. </
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>
<
s
id
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id.002289
">Deinde poteſtate plures ſunt, cum anſa vna eſt, ſed mi
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nimè fixa, verum libero modo propius A, modo remotius colloca
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tur. </
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>
<
s
id
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id.002290
">Semper autem in aliquo puncto inter A & B intermedio.
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</
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<
s
id
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id.002291
">Vnde eſt quod hîc dicat Ariſtoteles anſam ad partes, vbi eſt æqui
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pondium, eſſe dimidium ſtateræ, non ſumendo dimidium exactè,
<
lb
/>
quandoquidem extremo, à quo lanx
<
expan
abbr
="
depẽdet
">dependet</
expan
>
ſemper propior ſit. </
s
>
<
s
id
="
id.002292
">Hinc
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elicitur pulchra regula è qua poſtea ferè omnia, quæ ad ſtateræ ratio
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nem pertinent, deducuntur. </
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<
s
id
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">quæ eſt eiuſmodi. </
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<
s
id
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id.002294
">Cum ſcapus integer ad
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pondus appenſum, rationem eam habet: quam duplum partis, quæ eſt
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ab anſa verſus lancem ad reliquum: tunc
<
expan
abbr
="
põdus
">pondus</
expan
>
ſcapum vniformem,
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& omnibus ſuis partibus æqualem in æquilubrio conſtituit. </
s
>
<
s
id
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id.002295
">Vt eſto
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ſcapus A B duodecim vnciarum, & pars A F
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expan
abbr
="
duarũ
">duarum</
expan
>
: huius partis
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duplum eſt 4. & reliquum 8. </
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>
<
s
>Quemadmodum ergo 4. ad 8. ſic ſca
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pus rotus id eſt 12. erit ad pondus, quod per regulam trium inuenie
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tur eſſe 4. vnciarum. </
s
>
<
s
id
="
id.002296
">Rurſus ſit anſa in D & A D ſit vna vn
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cia. </
s
>
<
s
id
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id.002297
">Huius duplum eſt 2. </
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>
<
s
>Reliquum eſt 10. </
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>
<
s
>Vt igitur 2. ad 10. ſic 12.
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totus ſcapus erit ad pondus: quod per regulam trium inuenietur eſſe
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