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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experientiæ manifeſtè repugnat. </
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<
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premit fundum C D æquivalenter majori C D E F.</
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<
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xml:space
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<
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xml:space
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">Vas A B C D aquæ plenum, cujus fundum D C horizonti parallelum ro-
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tundo foramine pertundatur, quod ligneus tegat orbis G H materie quàm
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aqua levior. </
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<
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xml:space
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">Exponatur deinde vas alterum I K L ſuperiori quidem æquealtum,
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ſed minus & </
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">aquæ item plenum, cujus fundũ ad M N perforatum æqualiter an-
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tecedenti E F, & </
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<
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xml:space
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">orbe quoque O P ipſi G H æquali obtegatur. </
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<
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">Quibus poſitis,
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orbis G H contra communem ligni naturam vimq́ue ingenitam ex aqua non
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emerget, ſed foramini E F incumbens tam valenter premet quàm columna
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aquea E F Q R multata differentiâ ponde-
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fig-527.01.147-01
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rũ lignei orbis G H & </
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<
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">Et
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quî experimento hoc cognoſcas, orbi G H
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libram affigito, cujus pondus S ponderi di-
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cto æquale ſit, eritq́ue orbis G H ipſi æqui-
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libris. </
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<
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xml:space
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">Similiter firmato ad orbem O P li-
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bram, cujus pondus T ſuperiori S æque-
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ponderet, orbisq́ue hic O P ponderi T ma-
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nebit æquilibris. </
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<
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">auctis autem ponderibus
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S, T, orbes G H, O P attollentur, atque
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adeò hâc viâ deprehĕdes orbes iſtos in fun-
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da ſubjecta æqualem impreſsionem facere; </
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<
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">unde propoſiti veritas perſpicitur
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videlicet minorem aquæ molem I K L tam validè quàm majorem A B C D
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premere fundum ſibi ſubjectum.</
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">Si differentia ponderis orbis G H à pondere ãquæ ſibi æqualis, excederet
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columnam aqueam E F Q R, orbem G H iſtic non hæſurum ſed à foramine
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ſurſum emerſurum.</
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<
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">Præterea ſi diſcus G H eſſet è plumbo, fervovè, aut alia materiâ graviore
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quam aqua formatus, ejus in ſubjectum foramen impreſsionem fore tantam,
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quanta ſit columnæ aqueę E F Q R auctæ differentia ponderis, quę inter H or-
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bem dictum & </
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<
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</
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<
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<
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xml:space
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">Denique ſi G H materiâ eſſet aquæ æquilibri, impreſſionem ejus in fora-
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men E F, columnæ aqueæ E F Q R, æqualem fore.</
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<
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">4 Exemplum.</
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atque ipſi incumbat orbis diſcusve materię levioris quam
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aqua, is tantam impreſſionem faciet in foramen E F quan-
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tam ſupra oſten dimus: </
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jus ſummum foramen I eâdem ſit altitudine cum A B,
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imum eſto E F. </
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dè parte inferna preſſabit orbem G H quam univerſa aqua
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A B C D ipſi inſidens parte oppoſita, quia orbis G H ad-
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ſcendet. </
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fingo canaliculum) in orbe G H majorem efficientiam exerere poterit </
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