Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ ELEMENTIS*.
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<
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<
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xml:space
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">Datis, columnâ, inque ejus axe duobus punctis, uno
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fixo, altero in longiore ſegmento mobili: </
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<
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rectè attollens ex puncto mobili, quod datam columnam
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in dato ſitu conſervet, retineatque.</
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<
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<
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">initio, 6 ℔ pendeat,
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punctum ejus firmum R, mobile autem in longiore axis R Q ſegmento, V
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eſto, in breviore enim ſieri neutiquam poteſt, ut ullum pondus rectè attollens
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axem in dato ſitu detineat.</
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<
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ſuo ſitu columnam ſervet.</
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.029-01
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eſt in Y, ut R Y æquet R V:
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</
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dum, quod de Y ſuſpen-
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ſum columnæ ſit ſitu æqui-
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libre: </
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<
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eſt punctum firmum, per 3
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propoſit 4 ℔ pendebit. </
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itaque Æ quæſitum pondus
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rectè attollens 4 ℔ eſſe.</
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R Y ponderis Z. </
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tias, ex 13 propoſit. </
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">æquari conſequens eſt. </
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columnam in ſuo ſitu retinere: </
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">itaque & </
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quod nobis fuit demonſtrandum.</
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<
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">in axe duobus punctis, altero
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fixo, reliquo ſegmenti longioris mobili: </
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quod in puncto mobili columnam in dato ſitu conſervat, quod fuit quæ-
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ſitum.</
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quem terminum quartum? </
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">concluditur pro Æ 4 ℔, utpaulò ante, cujus cauſa 15
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propoſit. </
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">QVandoquidem univerſa columna ex conceſſo 6 ℔ pendet, quarum 4 ℔
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Æ attollit, neceſſariò ſequitur in puncto R, hoc eſt, faſtigio coni, vel py-
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ramidis OE reliquas 2 ℔ quieſcere.</
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