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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adferetur: </
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<
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xml:space
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">Eoq́uepoſito & </
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<
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">conceſſo, H gravitatis centrum eſt corporis è co-
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lumnâ, & </
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<
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deris ſitum ſervabit per 4 definitionem, quod quovis in ſitu, in quo L M col-
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locabitur, demonſtrari poterit.</
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<
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<
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">Denique I & </
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</
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<
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xml:space
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">Perpendicularis per V, ut V Z, pendula gravitatis diameter eſt totius, eâ igi-
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tur omiſsâ, totoq́ue è perpendiculari H Y, per H datum firmitudinis pun-
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ctum, ſuſpenſo, ſegmentum A D I verſus ponderoſius erit illo, quod B C K
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verſus eſt, ideoq́ue idem illud deorſum verget, donec H in pendulâ diame-
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tro totius fuerit, & </
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<
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">tametſi maximè L M (toto in H firmitudinis puncto mo-
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to) ad horizontem N O parallela collocetur, iſtum tamen ſitum per 8 propo-
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ſitionem non retinebit, ſed totum invertetur, quod nobis probandum fuit.</
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<
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">C*ONCLVSIO.</
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<
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">Satis ex antecedentibus liquet, quomodo in aliis procedendum operan-
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dumq́ue ſit, ut in columnis quarum firmitudinis punctum extra G F lineam
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eſt, ponderum puncta firmitudinis alio loco quam in C & </
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<
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vero, quia cauſas qualitatum & </
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rire potiſſimum hic contendimus (qua de re in Statices exercitatione & </
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fuſius dicetur) nulla admodum irregularium formarum exempla damus.</
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ſis: </
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datum ſitum ſervabit.</
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<
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puncta in columnæ axe ſint à centro E æquidi stantia, ut in
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istâ figurâ; </
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ſtrationis partem 10 propoſitionis, quæſitum ſit punctum.
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">Firmitudinis punctis ut C, D, duorum ponderum, item
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anſæ ut E, in unâ rectâ lineâ conſtitutis, ut paulo ſupra, e{q́ue}
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C, D ponderibus æquipondiis ſuſpenſis contingentis, ſive
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cujuſlibet magnitudinis, E perpetuò firmitudinis punctum manere manifestum eſt, in
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quo quemcunque dederis ſitum ſervabunt: </
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recta conſtitutis, C vero & </
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ponderibus ad radios proportionalibus, E firmitudinis punctum nihilo minus manere
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certum eſt, in quo datum ſitum ſervabunt.</
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pondera inde ſuſpenſa F 1 ℔, H 4 ℔ pendeant, firmitudinis punctum illius
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G, hujus autem H.</
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<
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vis datum ſitum ſervant.</
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