Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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1 L*IBER* S*TATICÆ*
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DE PROPOSITIONIBVS.</
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">Duarum gravitatũ ſitu æquilibriũ ponderoſior illam ra-
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tionĕ habet ad leviorĕ, quę lõgioris radii eſt, ad breviorem.</
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">ABCD 6 ℔ columna eſto in ſex partes æquales à
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planisad baſin AD parallelis partita, ut ſunt EF, GH, IK, LM,
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NO, axem PQ in R, S, T, V, X ſecantibus: </
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tas eſto ponderoſior, ejusq́ue centrum S, LMCB verò levior
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& </
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">centrum X, partium iſtarum ſecundũ 7 de-
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finitionem jugum erit SX, T autem columnæ
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totius centrum, TI anſa, ex qua LMDA
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& </
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TX radius longior, TS autem brevior ex 8
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definit. </
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eſt ſic longiorem radium TX eſſe ad brevio-
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rem TS: </
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vitas LMDA eſt ad leviorem LMCB.</
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TX ad breviorem TS eſtut 2 ad 1 ex dato: </
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igitur ponderoſius LMDA ad levius LMCB: </
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TS breviorem.</
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">VErumenimvero ne caſu potius quam ſolidâ ſcientiâ ita habere ſe iſta vi-
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deantur, Mathematicam demonſtrationem ſubjungemus.</
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">ABCD iterum eſto columna, ſecta plano EF parallelo ad
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AD, ſecanteaxem GH in puncto contingenti, ut I, ſegmentiq́ue EFDA
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centrum gravitatis K medium in GI, ſegmentiq́ue EFCB centrum L me-
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diumin IH, totiusautem ABCD, M medium in GH, MN verò ſegmen-
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torum EFDA & </
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quemadmodum corpus five gravitas (quæ
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hic propter illorum proportionem, unum
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idemq́ue ſunt ut enim corpus EFDA ad
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corpus EFCB: </
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vitatem hujus, columna enim ex poſitu ubiq;
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">æquabilis gravitatis eſt) EFDA ad EFCB: </
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ita longiorem radium ML eſſe ad brevio-
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rem MK.</
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