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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deinceps in cæteris ſimili machinatione, quorum ſegmentorum ratio per ar-
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tem cognoſci poſsit. </
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<
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<
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& </
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<
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<
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">D*ATVM*. </
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tis in A D conſiltere demonſtrato. </
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<
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">P*RAEPARATIO*. </
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B C parallelæ interſecent diametrum A D in punctis L, M, N, & </
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tercipiant rectas E O, G P, I Q, K R, H S, F T axi A D parallelas.</
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">Cum enim parallelæ E F, B C, claudantur E O, F T, parallelis, E F T O
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parallelogrammum erit, cujus oppoſita latera E F, O T in L & </
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<
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dividuntur, quare centrum gravitatis per 1 propoſ. </
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<
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">in L D conſiſtet. </
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tione centrũ gravitatis quadranguli G H S P erit in L M, itemq́; </
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<
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in M N. </
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<
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">Quamobrem gravitatis centrum rectilinei I K R H S F T O E P G Q
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è tribus iſtis parallelogrammis cõflati in DN,
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ſeu D A conſiſtet. </
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<
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juſmodi parallelogramma in parabolam in-
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ſcribuntur, eò minor erit inſcriptæ figuræ à
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parabola defectus. </
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parallelogrammorum inſcriptione eo adſcen-
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ditur ut ejus à parabola defectus quacunque
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minima propoſita ſuperficie minor ſit, conſe-
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quens igitur eſt, ſumpta A D gravitatis dia-
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metro, æquilibritatem ſitus ſtgmenti A D C
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ab æquilibritate ſitus ſegmenti A D B, mi-
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nori intervallo abeſſe quam vel minimæ quæ
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dari poſſit ſuperficiei planę differentia: </
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concludo.</
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<
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</
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exhiberinullum poteſt.</
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<
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<
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">A D igitur crit diameter gravitatis, & </
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centrum in ipſa. </
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<
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diametro. </
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<
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<
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">Parabolarum diametri à gravitatis centro in homologa
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fegmenta dirimuntur.</
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@ri A D, & </
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</
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<
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<
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@ſſe demonſtrator. </
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