Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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5 L*IBER* S*TATICÆ*
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centies millenę libræ, cujuſmodi in ſuperiore figura S: </
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<
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eſſet, naturæ arcanum meritiſſimò dici poſſet.</
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<
s
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">Denique quî etiam pragmaticè exempla 3 conſ. </
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propoſ. </
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<
s
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probemus; </
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<
s
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">tubus E F,
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G orbis plum beus materię põderioſioris quàm aqua,
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ut vides in priore diagrammate.</
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<
s
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xml:space
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">Is orbis foramini F fubditus accuratè cõgruat, jam tubo
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cum orbe in aquam immiſſo, orbis G ſecundum naturam
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plumbo ingenitam non mergetur, ſed tubo affixus hære-
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bit, ac tam valide aquam premet, quàm pondus aqueæ co-
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lumnæ cujus fundum F, altitudo H I, multatum differentia
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ponderum orbis G atque aquæ ſibi æqualis. </
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<
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">Sin verò orbis
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G non ſatis arctè claudat tubum ut aqua ingrediatur, non
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ante G à tubo recedet, quam dictum pondus ab aqua in tu-
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bum admiſſa ſuperetur.</
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</
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<
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xml:space
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">Et ne quis arbitretur magnam aquę molem quâ cir-
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cumquaque tubus cingitur, majori preſſu tubum af-
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ficere, quàm minorem ejuſdem altitudinis. </
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<
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omnis aqua circumfuſa ut reliqua duntaxat ſit quan-
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tulam in ſubjecto diagrammate vides, nihilominus ta-
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men cognoſces aquam minorem (exploratâ preſſio-
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nis potentiâ tubo G modo in hoc, modo in illud vas
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impoſito) tam potenter tubum premere, quàm iſtam
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majorem. </
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<
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<
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">C*ONCLVSIO.</
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">* Itaque exemplis 10 propoſitionem Elementorum Hy-
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droſtatices pragmaticè illuſtravimus.</
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">Ex II propoſitione præter cætera etiam hoc cognoſci poteſt quantum aquæ pondus
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emiſſariorum cataractis, & </
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<
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titudine ab una parte æquè potenter premere, atque altrinſecus alteram cuius latitudo
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vel ipſi Oceano æqualis ſit, modo in eâdem altitudine conſistant. </
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<
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ſatis manifeſta nullis exemplis ea declaramus.</
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">Cauſam reddere cur homo altè infra aquam natans
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maximo ejus pondere non opprimatur.</
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<
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">Humani corporis planum occupet pedes 10, is infra aquam 20 pedes de-
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merſus, aquę pede cubico 65 ℔ æſtimato, ſuſtinebit per 10 & </
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</
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opprimatur;</
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Cauſa autem hæceſt:</
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