Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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4 L*IBER* S*TATICÆ*
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<
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xml:space
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">Secundò in aquam ABCD immittitor corpus ſolidum, ſolidavé quot-
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cunque materiâ aquæ æquipondiâ, inter quæ, reliqua omnia aqua expulſa,
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tantùm comprehendatur IKFELM; </
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<
s
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xml:space
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">quæ cum ita ſint, hæc corpora fundum
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EF nec aggravant neque relevant
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ab eo pódere quo aqua prius ipſum
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afficiebat. </
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<
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">quare etiamnum ex ſen-
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tentia propoſitionis dicimus, fun-
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do EF inſidere pondus æquale
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aqueo ponderi, magnitudine co-
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lumnam æquante, cujus baſis EF,
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altitudo perpendicularis GE abaquæ ſummo AB ſeu MI ad imum EF de-
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miſſa.</
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<
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xml:space
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">Sittertiùm ABCD mera aqua, & </
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>
<
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">in ipſa EF fundum horizonti parallelum.
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</
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<
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">Quibus poſitis, aqua ſub fundo EF tam potenter ipſum ſurſum premit, quam
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aqua ſupra inſidens deorſum; </
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<
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<
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">infirmius validiori con-
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cederet, quod hîc non fit quia utrumque loco ſuo permanet. </
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<
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xml:space
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">lam corpus ſoli-
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dum iſti aquæ pondere homogeneum ita collocator ut
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aqua IKEFLM ab inferiori parte preſſet fundum EF,
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ut hîc. </
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<
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xml:space
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">Quibus poſitis, aqua ſubter EF nunc tam validè
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premit fundum EF, ſive ipſum ſolidum, quàm prius
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ipſam aquam oppoſitam: </
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">ſed impreſſio tanta tunc erat
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quanta ſuperioris aquæ ad EF depreſſio, ut ſupra pa-
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tuit, ſuperioris autem aquæ depreſſio æqualis erat ponderi columnæ aqueæ
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cujus baſis EF, altitudo perpendicularis GE, à ſuperficie AB ſeu MI ad
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fundum EF demiſſa. </
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<
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xml:space
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">Itaque aquæ ſubter EF conſtitutæ impreſſio erit quoque
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tanta.</
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<
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xml:space
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">Corpora ſolida ſecundi tertiiq́ue conſectatii iſtic ita firmentur, effuſaq́ue
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aqua ſpatium IKFELM vacuum nullo amplius pondere afficiet fundũ EF;
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</
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<
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xml:space
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">unde apparetaqua in vacuum locum rurſum infusâ fundũ EF tam validè pre-
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mi, ac ſi integrũ vas ABCD, ſublato iſto corpore ſolido, aquâ repletum foret.</
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<
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">Atverò quia immiſſa ſolida 2 & </
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materia extrema nec gravitate nec levitate ulla afficiet fundum EF, quam-
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obrem ſublata omni aquam ambiente materia, relinquentur internæ iſtæ aqueæ
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figuræ MIKFEL, quales hic vides.</
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<
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