Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*I* L*IBER* S*TATICÆ*
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<
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xml:space
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xml:space
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">Quandoquidem TI columnę diameter pendula eſt, Q B autĕ ponderis Y,
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T Q jugum erit, ejusq́ue radius brevior X Q, X T vero longior. </
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<
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dum igitur quæ ſit ratio X Q radii ad radium X T: </
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<
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xml:space
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xml:space
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ditur 12 ℔. </
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<
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xml:space
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">Hujuſmodi plura exempla 2 propoſitionis exemplorum conſimi-
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lia proponi poſſent, niſi jam ex antecedentibus innotuiſſent.</
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">B primi exempli, ſi poſſit fieri, 1 ℔ ponderoſius ſit, non erit gravioris pon-
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deris ea ratio adlevius, quæ longioris radii eſt ad breviorem, quod 1 propoſi-
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tioni repugnat. </
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">eodemq́ue pacto nequele-
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vius eſſe demonſtrabitur. </
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ſtrandum erat. </
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xml:space
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">* Datis igitur duobus ponderibus ſitu æ qui-
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pondiis cognito ſcilicet, & </
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cognitum fecimus, quod fuit quæſitum.</
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lõgitudine radii alterius: </
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ſum 3 ℔, B vero ex D 1 ℔ pendeat, & </
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<
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E C 2. </
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hucadducere poſſemus, niſi ex antecedente doctrinâ ſatis no-
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ta eſſent.</
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dii minor ratio fuerit ad breviorem, quam gravioris ponderis
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ad levius, quod contra primam propoſitionem eſt. </
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tur 2 pedibus nequaquam longior eſt. </
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eſſe demonſtrabitur, ut duos tantum pedes longum eſſe conſequens ſit, quod
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erat demonſtrandum.</
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<
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<
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">*CONCLVSIO.</
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<
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xml:space
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">* Datis igitur duobus ponderibus ſitu æquipondiis, & </
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terius radiorum longitudine: </
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<
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petitum erat.</
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<
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<
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habeat datam rationem.</
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<
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<
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xml:space
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tem ratio 2 ad 3. </
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lumnam: </
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<
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