Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* H*YDROSTATICES ELEMENTIS.*
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<
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xml:space
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">Omni preſſu quo corpus dolore afficitur, pars aliqua corporis luxatur.</
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<
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xml:space
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">Sed isto preſſu nulla corporis pars luxatur.</
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xml:space
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</
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<
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xml:space
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">Iſto igitur preſſu corpus dolore nullo afficitur.</
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<
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</
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<
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xml:space
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">Aſſumptio ſyllogiſmi reipſa manifeſta eſt, nam ſi pars aliqua ut caro, ſanguis,
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lb
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humor aut quodlibet denique membrum luxaretur, in alium locum concedat
<
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neceſſe eſſet; </
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>
<
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xml:space
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">atqui locus ille non eſt extra corpus, cum aqua undique æquali
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preſſu circumfuſa ſit (quod verò pars ima per 11 propoſ. </
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<
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xml:space
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">paulò vali-
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diùs prematur ſuperiore, id hoc caſu nullius momenti eſt, quia tantula differen-
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tia partem nullam ſede ſua dimovere poteſt) neque item intra ipſum corpus
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concedit, cum iſtic corpore omnia oppleta ſint, unde ſingulæ partes ſingulis
<
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partibus æqualiter reſiſtunt, namq́ue aqua undiquaque eadem ratione corpus
<
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totum circumſtat. </
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<
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xml:space
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">Quare cum locus is nec intra neque extra corpus ſit, abſur-
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dum imò impoſsibile fuerit partem ullam ſuo loco emoveri, ideoq́; </
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<
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xml:space
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hinc afficietur ullo dolore.</
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<
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">Sed in exemplo clarius ita intelliges, eſto A B C D aqua cujus fundũ D C,
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in quo foramen E habeat epiſtomium ſibi inſertum, cui dorſo incumbat ho-
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mo F. </
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">Quæ cum ita ſint, ab aquæ pondere ipſi inſidente nulla pars corporis
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luxari poterit, cùm aqua ut dictum eſt, undique urgeat æqualiter.</
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<
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">Si vero ejus veritatem explorare libeat, eximito epiſto
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mium E, tumq́ue tergum nulla re fultum ſuſtinebitur, ut in
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locis cæteris; </
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<
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">ideoq́ue iſtic tanto preſſu afficietur, quantus
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3 exemplo 2 propoſitionis hujus demonſtratus eſt, vide-
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licet quantam efficit columna aquea cujus baſis ſit foramen
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E altitudo autem eadem quæ aquæ ipſi inſidentis. </
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<
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exemplo propoſiti veritas manifeſtò declaratur. </
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Quinti Libri</
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