Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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2 L*IBER* S*TATICÆ*
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<
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xml:space
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<
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xml:space
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">Continuator F E in G, ita ut ratio F E ad E G, ſit eadem rationi ſegmen-
<
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ti B D C ad ſegmentum B D A; </
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<
s
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xml:space
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">ajo G reliqui ſegmenti B D C optatum eſſe
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gravitatis centrum.</
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xml:space
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<
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xml:space
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">E totius A B C D, reliqui ſegmenti centrum
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erit in F E infinitum continuata. </
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<
s
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xml:space
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preserve
">(Secus enim, ſi fieri poſsit, cadat extra in H,
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totius igitur rectilinei gravitatis centrum conſiſteret
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in recta F H, quod tamen theſi repugnat, nam ſta-
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tuitur in E) quamobrem inquam cum ſit in ipſa F E
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infinitum continuata autultra aut citra G, E verſum
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cadet, ſi citra ceciderit ut in I ratio lõgioris radii E F,
<
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ad breviorem E I, major fuerit, quam gravitatis pon-
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deroſioris B C D ad leviorem B A D contra 1 pro-
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poſ. </
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<
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<
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millima ratione evincetur. </
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<
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<
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ſtrari oportuit.</
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</
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<
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<
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xml:space
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">Circuli A B C D ſemidiameter eſt E A, E centrum gravitatis,
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circelli A F G H eidem inſcripti gravitatis centrum I, diameter A G.</
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<
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xml:space
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venire.</
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<
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xml:space
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<
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<
s
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xml:space
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">Continuator I E in K, ut I E ad continuationem E K habeat rationem
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quam ſpatium A B C D H G F ad circulum A F G H; </
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<
s
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xml:space
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">ajo K eſſe optatum gra-
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vitatis centrum, cujus demon-
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ſtratio ſimillima ſuperiori. </
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rùm quô arbeli hujus ad reli-
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quum circulum ratio ad rectas li-
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neas revocetur, ſic ages; </
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<
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xml:space
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ptæ C L diametro A G æqualis
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terminum L cum reliquo dia-
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metri termino C connectat adia-
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metrum A L, & </
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<
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diametro & </
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<
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xml:space
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tertia proportionalis ſit M, ratio
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ſpatii ad circulum AFGH (cùm
<
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A L C angulus in ſemicirculo ſit
<
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rectus) erit eadem quæ primæ re-
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ctæ A L ad tertiam M, & </
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<
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xml:space
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">circulus
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diametri A L, ſpatio dicto æqua-
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lis, nam A L ad M ratio eſt dupli-
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cata A L ad L C, hoc eſtad A G.</
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<
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</
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<
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<
s
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xml:space
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">Eadem planè ratio fuerit ſi plures circelli ex integro A B C D forent exem-
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pti; </
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<
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<
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tur P K centra connectens ad Q uſque ut P K ad K Q ſit quemadmodum re-
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liquum ad circulum N O. </
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<
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