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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">Columnæ baſis pedum 12, altitudinis 3, ſoliditas eſt 36 pedum ſemiſſis 18.
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<
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">rale autem corpus inſidet, per 11 propoſ. </
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ſuſtinet pondus 18 pedum. </
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xml:space
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mana eſt.</
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<
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<
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">Ex quo perſpicitur latere parallelogrammi etiam infra aquam abdito, quo
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ratiocinio pondus aqueum ipſi inſidens concludi poſſit. </
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<
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">nam additâ, ad pondus
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ſupra inventum, columnâ cujus baſis ſit iſtud fundum, & </
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laris à ſupremo fundi latere in ſummam aquę ſuperficiem totum hoc erit opta-
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tum.</
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ſupremum A B infra aquæ ſummam ſuperficiem E F
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conſiſtat, perpĕdicularis G A, ab A ad ſuperficiem E F,
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pedum 3, area parallelogrammi A B C D 20. </
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<
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ſi A B in ſumma aquæ ſuperficie ſtatuatur, tum ipſi
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40 cubicos aqueos pedes inſidere tanquam perantece-
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dentem doctrinam concluſum aſſumo; </
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quot nunc ſuſtineat@ multiplicato plano A B C D 20
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pedum in altitudinem G A 3 fit columna 60 pedum,
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quæ compoſita cum 40 exhibet 100 pedes, quorum pondere A B C D fun-
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dum prematur.</
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<
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">Atque cum fundum irregulare dabitur, invenito per 13 propoſ aqueam mo-
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lem ponderi fundo illi inſidenti æqualem; </
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">ex cujus dimenſione deinde quæſi-
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tam gravitatem concludas.</
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<
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">Si parallelogrammi ad horizontem inclinati, cujus ſu-
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premum latus in aquæ ſuperficie ſumma conſiſtat, duæ
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perpendiculares altera à ſummo in latus imum, altera in-
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didem in planum per imum latus horizonti parallelum,
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cum põdere quod ipſi inſidet nota ſint; </
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latus invenire.</
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<
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ſummi lateris A B in aquæ ſuperficie ſuprema conſiſtentis lon-
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gitudo ignoratur, incumbat moles aquea ponderis 18 pedum,
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atque A D ſit 3. </
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invenire.</
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4 pedes, lateris A D longitudinem definiunt.</
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