Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ PRINCIPIIS.*
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<
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xml:space
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<
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xml:space
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">Solidi gravitatis centro & </
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<
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xml:space
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">ſegmenti ſui cujus ad reli-
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quum ratio ſit data cognitis, ejuſdem reliqui ſegmenti gra-
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vitatis centrum quoque invenire.</
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<
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xml:space
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centrum F. </
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<
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<
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xml:space
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">Reliqui ſegmenti BCD gravitatis centrum in-
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venire.</
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<
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xml:space
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">Fiat FE ad continuationem EG ut ſolidum BDC ad BDA; </
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<
s
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xml:space
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">ajo G eſſe
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optatum gravitatis centrum reliqui ſegmenti BDC, cujus demonſtratio ſimil-
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lima erit 9 propoſ. </
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<
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xml:space
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<
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liquam ratio ſit data cum è ſecundo 9 propoſ. </
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<
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plo ſatis plana ſit nullum paradigma proponam.</
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<
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">C*ONCLVSIO*. </
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<
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centris totius ſolidi & </
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<
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xml:space
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ratio inveniri poſſit, ejuſdem reliqui gravitatis cen-
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trum, invenimus. </
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<
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<
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<
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<
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xml:space
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">Pyramidis curtæ gravitatis centrum invenire.</
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</
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<
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<
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<
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xml:space
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">Eſto ABCDEF pyramis curta, cujus ſumma baſis ABC,
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ima DEF. </
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<
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<
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xml:space
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<
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</
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</
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<
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xml:space
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<
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xml:space
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">Abſolvito curtam pyramidem, expleto defectu ABCG, & </
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<
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xml:space
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">axis ductus à
<
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vertice G ad H centrum baſis D E F ſecet planum ABC in I, ſegmen verò
<
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GL ita ſecetur in K ut GK ipſius KL ſit tripla,
<
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& </
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imæ LH ſit item tripla, denique eadem ſit ratio
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jugi KL ad LM quæ curtæ pyramidis ABCDEF
<
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ad complementum ABCG; </
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<
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tis optatum centrum.</
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</
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<
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<
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<
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">L centrum eſt totius, K verò ſegmenti, ut au-
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tem imum ſegmentum ad ſummum, ſic KL ad
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LM. </
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<
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<
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gravitatis centrum. </
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<
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tis pyramidibus multangulæ vel circularis baſis huic affinis eſt.</
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<
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<
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<
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xml:space
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">Quamobrem datæ curta pyramidis gravitatis centrum, ut
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decuit, invenimus.</
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