Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ PRAXI.*
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<
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xml:space
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<
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">Eſto agger A, B C ſuſtentamentum ligneum, cui D navis pondere 24000 ℔
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inſideat (quomodo aute@@ navis oneratæ gravitas in aquis inveniatur in hydro-
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ſtatica dicetur) hujus medium E, medio aggeris A incumbat ſitq́ue B F ſcapus
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& </
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<
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">ab altera parte ei æqualis C G, jam navi remota ſegmenta F E, E G ſuntæ-
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quipondia, quamobrem utnavis aggerem trajiciat, ſcapus ex F deprimendus
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velex G ſublevandus erit, velutræque vires conjungendæ, fitq́ue H I navis
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gravitatis diameter, & </
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">F E ſextupla ipſius E H, unde concludendum quanta
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potentia vel ex F vel ex G navi ſit æquilibris.</
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">H I gravitatis
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diameter, F E autem ſextupla ipſius E H, navis ſextupla erit ponderis ſibi ex F
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puncto æquipondii, ſed ex hypotheſi navis librarum eſt 24000, itaque pondus
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ab F dependens 4000 ℔, & </
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">25 homines ſinguli 160 ℔ pendentes ex F navi æ-
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quepõderabunt, atque id quidem hoc ſitu, verum ſi K navis ſtatuatur centrum,
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& </
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<
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">E G attollatur, ab F minore quam 4000 ℔ pondere opus erit, nam ex K
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perpendicularis, in planum E C horizonti parallelum, demiſlà gravitatis erit
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diameter & </
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">ipſi E vicinior, eſto igitur E F ſeptupla ſegminis E L, quare
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3428 {4/5} ℔ pondus ab F ſuſpenſum iſtic ſitus æquilibritatem vindicabit.</
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">Exemplum hoc quidem nobis expoſitum eſt, unde machinationis exemplar
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ad imitandum derivari queat, conſiderandum tamen ſcapum E F ſextuplum
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ipſius E H nobis ſumi, qui ſanè longitudine ampla & </
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fabricandus foret: </
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">non tamen exiſtimo in majoribus navigiis (aliarum machi-
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narum ratione habita) perinde felici eventu uſurpari, licet in minoribus moli-
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tio hæcforſan uſui fuerit. </
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">Et quamvis ſuculæ ergatævèad terminos F, G con-
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ſtitutæ non parum ſubſidii huic machinationi attulerint, nunc tamen hic per
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numeros expol
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uiſſe ſatis eſſe duxi, aliam commodiorem rationem 10 propoſ.
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etiam longitudine æqualium inæquales deinceps ſuecedunt.</
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">* Sunto ſcapi ABC, ABD, ſubnixi hypomochlio E ſecundum
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rectam A B, quam axis totius vectis ABCD ponderantis 400 ℔ interſecet
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in F, hujus gravitatis centrum ſit G, (& </
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