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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pendicularetam hoc quam ſequentibus 3 & </
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">4 exemplis in opere ſufficiat, atta-
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men quò evidentius ſit centrum ipſum ſumpſimus) tumq́ue ſegmento ABD
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incumbat pondus H 2000 ℔ cujus gravitatis diameter IK eſto ut K termi-
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netur in axe C D; </
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<
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">quæritur potentia quæ ex C, attollat datum pondus H.</
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">machinæ D A C B ſimulutriuſque gravitatis centrum inve-
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nies, diviſa K G in L, ut ſegmentorum G L, L K ratio ſit eadem quæ 2000 ℔
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ad 400 ℔, hoc eſt, 5 ad 1, perpendicularis per L educta eſt gravitatis diameter;
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</
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<
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">præterea F C dicis gratia duodecupla aſſumatur ipſius F L, unde concludo, ut
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FC 12 ad FL 1, ſic 2400 ℔ videlicet vectis & </
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200 ℔ quæ ex C ſuſpenſæ iſtis æquipondiæ forent iſtoc duntaxat ſitu, poſito
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enim M centro gravitatis H, & </
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200 ℔ pondere, cujus illuſtrandi gratia perpendicularis N O per centrum M
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plano A B D horizonti parallelo terminetur in O, tributa igitur O G in P ut
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P G itidem quintupla ſit reliqui P O, atque eo ſitu perpendicularis per P edu-
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cta totius ponderis erit pendula gravitatis diameter, eſto autem F C q́uintupla
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rectæ F P, unde concludes, ut F C 15 ad F P 1, ſic 2400 ℔ ad 160 ℔ quæ tunc
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ſitus æquiponderantiam tuebuntur.</
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ratio antecedenti exemplo non ſit admodum adſimilis, hanc ipſam tertio para-
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digmate perſequemur.</
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">* Palangrarius humero B geſtet haſtile librarum 12, cujus axis ſit
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C D, centrum gravitatis E, atque ab haſtilis & </
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rizonti perpendicularis ſecet axem DC in G, manus haſtile rectà deprimens
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ſtatuitior in puncto axis H, ſitq́ue G H dupla G E.</
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">Quandoquidem G H dupla eſt ſegmenti G E, etiam pondus ab E, quod
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eſt haſtilis univerſi duplum erit ejus quod ad H collocatur, videlicet manus; </
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