Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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3 L*IBER* S*TATICÆ*
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<
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xml:space
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">Perpendiculares per G, H, eductæ ſecent axem C D in K, L, hîc pondus
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non tribuitur, ut ante, æquis partibus, namque F K in duobus primis diagram-
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matis major eſt quam F L, in reliquis verò minor, ſed ut F K ad F L ſic pon-
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dus palangarii H, ad palangarium ſeu vectiarium G. </
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>
<
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xml:space
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">Vnde evidens eſt ſi firmi-
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tudinis puncta G, H ſub axe C D conſtituantur antecedentem minus premi,
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ſin verò ſupraſit, ſequentem leviore pondere urgeri. </
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>
<
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xml:space
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">Denique ſi firmitudinis
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puncta in ipſo axe C D figantur ponde-
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ris varietatem, neque in clivo neque in
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.096-01
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planitie ullam eſſe. </
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<
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xml:space
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tiones è 14, 15, 16, 17, 18, 27, 28 propoſ.
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</
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<
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<
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xml:space
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<
s
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xml:space
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">Veruntamen cum multorum inſti-
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tutum non patiatur iſtas cognoſcere,
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qui nihilominus id optant mechani-
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ca ratione edoceri, ii ſumant baculum
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quomodocunque incurvum A B, quod
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funiculo C D ſuſpendant ex C. </
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<
s
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xml:space
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">De-
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miſſis deinde à C D æquali diſtantia
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duobus perpendiculis G H, I K, ut H L,
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LK ęquales ſint, baculum eandem ſerva-
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bit theſin; </
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<
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xml:space
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">idem erit ſi ſpatium N L di-
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midium quidem ſit ipſius L K, pondus
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verò M ponderis F duplum, atque ita
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deinceps in cæteris. </
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<
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xml:space
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">Qua via experientia
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comprobante, quæ ſupta nobis expoſi-
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ta ſunt facillimè intelligentur.</
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<
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xml:space
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grammatis corpora geſtari finxi-
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<
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mus, horizonti perpendiculares collo-
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cavimus; </
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<
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virium deſiderabitur quam ſit corporis
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ipſius gravitas, quantum verò unuſ-
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quiſq; </
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<
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xml:space
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">ferat ductis perpendicularibus
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I M, N O, evidens erit, namque per
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27 propoſ. </
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<
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xml:space
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">ut M I ad I G ſic pon-
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dus rectà ſublatum ad idem ſublatum
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obliquè hoc eſt potentiam hominis in
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G; </
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<
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xml:space
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">conſimili modo ut O N ad N H,
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ſic ejus pondus cum rectà attollitur ad
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idem obliquatum quæ efficientia eſt palangarii ad H, unde ſingulorum effe-
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ctus per 22 propoſ. </
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<
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<
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<
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">magis variis geſtatorum ponderum paradigmatis cum brevi-
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tatis ſtudio ſuperſedemus, tum quia ex antecedentibus lucem & </
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<
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tionem accipiunt compendi facimus.</
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