Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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5 L*IBER* S*TATICÆ*
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<
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xml:space
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">M N O libra eſto, cujus lances M, O;
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atque M quidem figuræ cylindraceæ æ-
<
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qualis expoſito G C D ideoq́ue 10 li-
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brarum aquæ capax; </
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<
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xml:space
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">tum Pſolidum ſimi-
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le lanci M & </
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<
s
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xml:space
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">minus, ſcapo affigatur uthic
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vides.</
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</
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<
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<
s
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xml:space
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">Inſeratur igitur ſolidum P in lancem
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M, ut in ſecunda figura, lanciq́ue O im-
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ponatur pondus Q 10 ℔; </
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>
<
s
xml:id
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xml:space
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">jam fundum
<
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M tam validè impingetin corpus P quàm
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à 10 ℔ impelletur. </
s
>
<
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xml:space
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">ſit autĕ corpus P deci-
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ma parte minus quam M, ut vacuus inter
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utrumque locus 1 ℔ aquæ expleatur, hoc
<
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/>
eſtaquea mole æquante corpus E A B. </
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>
<
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xml:space
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">Itaque 1 ℔ aquæ in lancem infuſa hanc
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deprimet, reliquamq́ue attollet, id ipſum teſtante experientia, & </
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<
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xml:space
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">10 propoſi-
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tionis demonſtratione approbante. </
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<
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xml:space
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">Quare 1 ℔ aquæ in lance M iſtic tantæ erit
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potentiæ, quàm 10 ℔ plumbiferrivé aut alterius materiæ ſolidæ eidem lanci M
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affixæ. </
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<
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xml:space
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">Atque eadem ratione 1 ℔ aquæ, hujuſmodi partium diſpoſitione ma-
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joris erit efficaciæ, quam millæ libræ materiæ alterius. </
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>
<
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xml:space
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">Quæ cum ita ſint, aqua
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quæ inter utriuſque fundum, corporis P lancisq́ue M interceſſit, fundum M
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nunc tam validè preſſat ac prius fun dum corporis P, hoc eſt, ac 10 ℔; </
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<
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dus Q 10 ℔ in reliqua lance O immiſſum ſit.
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</
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<
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fundum lancis M, quanta eſt efficientia 10 ℔
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Q. </
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<
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xml:space
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">ponamus autem aquam in fundo M æqua-
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riipſi K L B A, reliquam autem ipſi P circum-
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fuſam, reliquæ I E. </
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<
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xml:space
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">Quare aqua E A B tam
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potenter preſiat fundum A B, quàm hæc aqua
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fundum M, ideoq́ue E A B premit ſuum fun-
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dum A B æquivalenter 10 ℔, ſed tantus eſt
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item preſius aquæ G C D contra fundum
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C D. </
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<
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xml:space
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">Quamobrem, quod pragmaticè con-
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firmare ſtatueramus, aqua E A B pondere 1 ℔
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ſuum fundum A B æquè validè premit, atque
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G C D 10 ℔ fundum C D. </
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ces, vel 1 ℔ preſſare potentiùs mille libris.</
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">C D E F vas amplum ac ſpiſſum, utraque aquæ
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plena, ſuperficiebus in eadem mundana ſuperficie conſi-
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ſtentibus, inſidentia communi fundo C D. </
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C D ab amplo vaſe C D E F non validius premi quam à
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tubulo A B C D, patebit ipſo ablato, ut aqua aquam
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tangat; </
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<
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xml:space
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">nam ſi ante aqua C D E F fundum D C preſſit va-
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lidiùs quàm A B C D, idem quoque nunc fiet, & </
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tior debiliorem loco pellet, quare aquam A B C D aſcen-
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dere, & </
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<
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xml:space
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rum ſupernæ ſuperficies inæquali altitudine ſupra horizontem extarent, </
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