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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ſuperficie, pondusipſi inſidens æquatur columnæaqueæ,
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cujus baſis ſit huic fundo æqualis, altitudo ſemiſsi perpen-
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dicularis à fundi ſummo in planum per imum ejus pun-
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ctum horizonti æquidiſtanter eductum, demiſſæ.</
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<
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xml:space
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">Lua formula poſtremam partem buius 12 propoſitionis efferemus.</
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aquæ ſuperficiem deliteſcat, pondus ipſi inſidens æquatur
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columnæaqueæ cujus baſis huicſundo, altitudo perpendi-
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culariab aquæ ſummo in planum per ſummũ ſundi pun-
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ctum horizonti parallelum, demiſſæ, atque inſuper ſemiſsi
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perpendicularis indidem in alterum planũ perimum fun-
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di punctum, horizonti parallelum, continuatæ.</
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">Fundum regulare A B C D primùm quadrangulum parallelo-
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grammum latere ſummo A B infra aquam abditum horizonti parallelum ſumi-
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tor, perpendicularis E A per ſummum A utrimque continuata illic aquæ ſum-
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mo, hic plano per D C horizonti parallelo occurrat in F, ſitq́ue AG ipſius in-
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ferioris continuationis ſemiſsis.</
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molis nixæ fundo A B C D colum-
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næ cujus baſis dicto fundo, altitudo
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rectæ E G æqualis ſit, æquari demõ-
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ſtrato. </
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D A, C B uſque ſuperam aquæ ſu-
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perficiem in H, I continuata conne-
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ctantur recta H I; </
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quales lateri C I & </
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lelæ acta L K compleant parallelo-
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grammum C D L K & </
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C O, item M O, N P ipſi B C æquales & </
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æqualis deformetur C D H I K L, hac lege ut C K horizontiad perpendicu-
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lum immineat. </
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C D H I, & </
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jus parte A B C D quoque erit: </
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A B C D L K M N æquale columnę cujus baſis A B C D; </
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aquæ põdus inſidens primæ figuræ fundo A B C D æquatur quoque columnę
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baſis quidem H B C D, altitudinis verò G E. </
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