Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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4 L*IBER* S*TATIC Æ*
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<
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xml:space
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<
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xml:space
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">Fx quo perſpicitur, quis modus inveniendi ſummilateris erit quando ipſum
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infra aquam abſcondetur: </
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<
s
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xml:space
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">nam cum ſubduces à toto aqueæ molis pondere illi
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inſidente columnam, cujus baſis ſit ipſum fundum, altitudo perpendicularis à
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ſummo latere ad ſupernam aquæ ſuperficiem, reliquum hoc pondus tantum
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erit quaſi ſummum iſtud latus in aquæ ſuperficie conſiſteret, unde anteceden-
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tem factionem imitatus longitudinem ejus concludes.</
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<
s
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xml:space
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">Ad inventionem autem iſtius columnæ quam diximus ſubducendam, hac
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via inſiſtes. </
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<
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xml:space
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">Secato integrum illud datum pondus, integramvé columnam ra-
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tione ea, quam habet perpendicularis ab aquæ ſuperficre ſumma in ſupremum
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fundi latus demiſſa, ad perpendicularem candem auctam ſemiſſe perpendicu-
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laris indidem continuatæ uſque in planum per imum latus horiz onti paralle-
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lum. </
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<
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">Quod lucem accipiet à 12 propoſ. </
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<
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xml:space
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da iſtic quæreretur, ſic concluderes. </
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<
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xml:space
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">ut EG ad EA, ſic datum pondus ad ſui
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partem ſubducendam.</
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<
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<
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xml:space
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">Et licet hinc invenire longitudinem ſupremi lateris, quando fundum linea
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alteri laterum ad horizontem annuentium parallela interſecabitur. </
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<
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gratia, in diagrammate 4 exempli agenda G H parallela contra A D, ut in
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A G H D inſideat pondus aqueum 12 pedum, jam quę ratio eſt ponderis 12 ad
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36 ea eſt ſegmenti A G ad totum latus A B. </
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<
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premum latus notum in ſupera aquæ ſuperficie conſiſtat,
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perpendicularis à ſummo in planum per latus imum hori-
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zonti parallelum, cum pondere ipſi inſidente nota ſint; </
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<
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ſam invenire.</
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<
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dus aqueum 18 pedum inſideat, latusq́ue A B in ſuprema
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aquæ ſuperficie pedum 4.</
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<
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quadrati latus 3 pro A D.</
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lum horizonti perpendiculare, cui inſiſtit moles aquea
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18 pedum ejusq́ue latus ſummum A B, quod in aquę
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ſummitate conſiſtit, ſit pedum 4.</
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