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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æquales, & </
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<
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EF, GH afficiuntur æquales eſſe.</
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<
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">Pondus aquæ fundo E F inſidentis æquatur per 11 propoſ. </
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<
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cujus altitudo I F, baſis autem fundum E F. </
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ſidet fundo G H æquatur columnæ aqueæ altitudinis K H baſis G H fundo
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<
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xml:space
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">32. p. 11.
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t. E.</
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æqualis. </
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<
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">ſed baſis ſeu fun- dum E F eſt ad fundum G H, ut recta E F ad re-
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ctam G H, nam perhypotheſin æqualem habent
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latitudinem: </
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">ex æquo itaque longitudo E F erit
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ad longitudinem G H ut illius columna, ad co-
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lumnam hujus, & </
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illi inſidentis, ad pondus huic inſidentis. </
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<
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rallelogramma ęqualis latitudinis ab aquæ ſuperficie deorlum altitudine æqua-
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li recedunt, ipſorum longitudines preſſibus aquæ ipſi inſidentis proportionales
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erunt. </
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ſupremum latus in aquæ ſuperficie ſumma conſiſtat, duæ
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perpendiculares altera in latus imum, altera in planum per
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imum latus horizonti parallelum notæ ſint; </
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dentis pondus invenire.</
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">Parallelogrammum eſſe aut rectangulum aut obliquangulum, cum{q́ue} ſummo latere
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in aquæ ſuperficie collocato ipſa ad horizontem inclinabuntur, id fiet in angulo recto, vel
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obliquo. </
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">unde quadruplex exemplorum ratio exiſtit, cuius varietatis tam in hoc, quam
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duabus ſequentibus propoſitionibus quatuor dabimus exempla. </
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horizontem recti, ubi alterum laterum horizonti annuentium & </
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altera in imum latus, altera in planũ per imum latus horizonti parallelum, una eodem{q́ue}
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recta ſunt. </
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perpendiculares altera à ſummo latere in imum, altera indidem in planum per imum
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latus horizonti parallelum, eadem ſunt linea. </
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horizontem obliquati ubi latus unam horizonti annuens & </
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ſummo in imum eadem ſunt recta. </
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ubi dictæ tres lineæ inter ſe diverſae; </
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inaquæ ſuperficie 4 eſto pedum, A D 3.</
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