Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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xml:space
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">DE INVENIENDO
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GRAVITATIS CENTRO
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IN PLANIS, PARS PRIOR.</
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">SI planis vel minimum pondusineſſet, illudq́ue ratio-
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nem adipſorum magnitudinem habere cõcederetur,
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de planorum ponderibus, ponderũ centris, diametris, & </
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</
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<
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<
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ineſt, neque gravitas igitur, neque gravitatis centrum, aut
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diameter, propriè & </
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<
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dificatè igitur, & </
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">quidem metaphoricè, intelligenda ſint,
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quaſiex theſi gravitas planis, pro ipſorum magnitudine,
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ineſſet. </
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<
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xml:space
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">1 THEOREMA. 1 PROPOSITIO.</
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">In omni plano figuræ centrum, gravitatis quoque cen-
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trum eſt.</
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demonſtrandum eſt. </
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dium latus B C, conſimiliter ab angulo C recta C F in medium latus A B
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ducatur.</
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">Triangulo A B C lineâ A E ſuſpenſo, ſegmentum A E C
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ſegmento A E B æquilibre erit, ſunt enim æqualia, ſimilia,
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& </
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guli A B C. </
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guli gravitatis diameter fuerit. </
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D ſeſe interſecant, quarum quæque gravitatis centrum in ſe
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habet, illud ipſum igitur D fuerit.</
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A B & </
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