Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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S*TATICES*.
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<
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xml:space
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">Notandum autem nonnullas demonſtrationes 1 lib. </
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ſtat. </
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<
s
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xml:space
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">ubi gravitas numero, notaq́ue librarum menſura exprimitur, ut mechanicis
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demonſtrationibus accenſeri debere videantur, geminas à nobis exhibitas eſſe;
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</
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<
s
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">alteras Arithmeticas ut 1 exemplo 1 propoſ. </
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">1 lib. </
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<
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xml:space
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">ubi propoſitionis ſententia
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Arithmetico calculo oſtenditur, quam Mathematica demonſtratio ſecundo
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exemplo ſtatim ſubſequitur. </
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<
s
xml:id
="
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xml:space
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">Vt Mechanica demonſtratio Mathematicæ non-
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nunquam tanquam miniſtra facem alluceat.</
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<
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">C*APVT V.*</
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style
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it
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">Vbi Propoſitio 8 Hydrostatices illustratur,
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& clariùs exponitur.</
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<
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">OCtava propoſitio Hydroſt. </
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<
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">docet: </
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<
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">Solidum in aqua levius eſſe quam in aëre
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pondere aquæ magnitudine ſibi æqualis. </
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<
s
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xml:space
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">Vnde quis conſectaria huj
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uſmodi de-
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duceret: </
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<
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xml:space
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">Solidum quodlibet in hydrargyro levius eſt quàm in aqua magnitudine hy-
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drargyriſibi æqualis. </
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<
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xml:space
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">Velaliud hoc modo: </
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<
s
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xml:space
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">Solidum quodlibet in aqua levius eſt quam
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in oleo magnitudine aquæ ſibi æqualis; </
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>
<
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xml:space
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">ſimiliq́ue analogia in cæteris. </
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<
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xml:space
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">Quæ vera de-
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ductio, re ſimpliciter conſiderata experiĕtiæ contraria videtur; </
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<
s
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="
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xml:space
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">nam libra plum-
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binõ erit in aqua levior quam in oleo, põdere aquę ſibi æqualis, ſed tantò dun-
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taxat levior quanta erit differentia aquæ & </
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<
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">olei dictæ plumbeæ libræ magnitu-
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dine æqualium. </
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<
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">Sed tamen re penſiculatius expenſa theorema noſtrum omni-
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bus numeris perfectum animadvertet, ſiquidem 1 poſtul. </
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">Hydroſt. </
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<
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">petie-
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rim concedi, Ponderitatem corporum in aëre appellari propriè, item 5 poſt. </
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<
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">Vas ſu-
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perficiarium effuſa aqua vacuum eſſe, hoc eſt per 11 defin. </
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<
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">aëris duntaxat plenum.
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</
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<
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xml:space
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">ſi igitur media, in quibus gravitas æſtimatur, hydrargyrum & </
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<
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">aqua ponantur,
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ac tum poſtuletur, Corporum gravitatem in aqua dici propriè. </
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<
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xml:space
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">Item, Vas ſuperſicia-
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rium effuſo hydrargyro aquæplenam eſſe, certè his ita conſtitutis dicta propoſitio
<
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(Solidum quodlibet in hydrargyro levius eſſe quam in aqua, pondere aquæ magnitudine
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ſibi æqualis) omninò vera fuerit. </
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<
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">Vtres hæc magis fiat perſpicua, cogitatione
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fingito hominem ſub aqua conſtitutum ſecum habere hydrargyrum & </
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<
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">aurum,
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ſitq́ue aqua vice aëris, Ajo aurum iſtictantò fore levius, quam in hydrargyro
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quantum erit pondus hydrargyri aurum magnitudine æquantis: </
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<
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manifeſtum eſt. </
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<
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">At verò ſi Corporum pondus in inani verè dici ſumatur, ut revera
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ſe res habet, ſecundum hac inquam affectionem ita enuntiari poſſet. </
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<
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">Omne ſoli-
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dum in aqua gravius eſt, quàm in inani pondere aquæ ſibi æqualis. </
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<
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">Verùm cum uſus
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& </
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<
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">effectio (quò theoriam perpetuò dirigere decet) non in vacuo ſed in aëre
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fiant, ſatiùs eſt ſecun dum modum nobis ſupra uſitatum, pondus rei proprium
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in aëre ſupponi, cujus ratione & </
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<
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">reſpectu 8 noſtra propoſitio cæteræq́ue inde
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derivatæ omnibus numeris perfectæ ſunt. </
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<
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tium.</
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