Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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DE INVENTIONE GRAVITATIS CENTRO.
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portionalia habebunt. </
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<
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xml:space
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hinc t ita quidem ftatuatur in a d, ut E T, T S, ipſis et, & </
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<
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ſint, cùm multilaterarum figurarum inſcriptione in hac ad t deventum erit,
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in illa itidem ad T devenietur, Quamobrem T centrum erit inſcripti multan-
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guli, & </
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<
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<
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xml:space
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">Itaque omnium parabolarum diametri à gravitatis centro
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in homologa ſegmenta dividuntur. </
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<
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<
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">Biſectrix rectarum A B, A C, interſecet A D in H, hinc
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F I, G K diametro parallelæ quasq́ue in antecedentis theorematis conſtructio-
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ne æquales oſten dimus in L & </
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diametri ſegmentis A E, E D proportionales ſint; </
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rat baſi B C in Q, & </
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gravitatis centrum: </
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A B I, igitur N (nam per 4 propoſ. </
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parabolicæ iſtæ inter ſe æquantur) harum commune gravitatis centrum eſt.
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bolicas portiones, diviſo, habebimus optatum: </
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per 24 propoſ. </
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ſeſquitertia trianguli A B C, quamobrem
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A B C triangulum triplum erit duarum pa-
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raboles portionum, ſecetur igitur P N in E
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ratione tripla, hoc eſt ut ſegmentum N E
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vertici vicinius triplum ſit reliqui E P. </
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co E optatum eſſe parabolæ centrum: </
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& </
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quialteram, quod ex opere & </
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tione patet.</
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rum ut 3 ad 2 ſic A E ad E D, ſic item I L ad L F, ſic quoque O N ad N H,
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quamobrem N H erit {1/4}, hoc eſt ſubdecupla totius A D, hinc N H {1/10} addita
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ad A D {1/2} exhibet N D {1/3} quæ multata P D {1/3} relinquit N P {4/23}. </
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ex fabrica in E ita diviſa eſt ut N E tripla ſit ipſius E P. </
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addita ad P D {1/3} dabit E D {2/3
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} diametri A D. </
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obrem A E ad E D eſt ut 3 ad 2, & </
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<
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rabolæ A B C. </
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centrum gravitatis invenimus.</
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