Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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cta bd in g puncto, ducatur cg; & protrahatur ad circuli
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uſque circumferentiam; quæ ſecet ae in h. </
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id
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demus cg per centrum circuli tranſire: & bifariam ſecate
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lineam ae;
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itemq́
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; lineas bd, ae inter ſe æquidiſtantes eſſe.
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<
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id
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">Cum igitur cg per centrum circuli tranſeat; & ad
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punctũ
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f perueniat neceſſe eſt: quòd cdef ſit dimidium circumfe
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rentiæ circuli. </
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diametro cf erunt centra gra
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uitatis triangulorum bcd,
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afe, & quadrilateri abde, ex
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quibus conſtat hexagonum ab
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cdef. </
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">perſpicuum eſt igitur in
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ipſa cf eſſe circuli centrum, &
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centrum grauitatis hexagoni.
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</
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">Rurſus ducta altera diametro
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ad, eiſdem rationibus oſtende
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mus in ipſa utrumque
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cẽtrum
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ineſſe. </
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tis hexagoni, & centrum circuli idem erit.</
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13 Archi
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medis.</
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m</
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gulum in circulo deſcriptum:
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& iungantur ce, bf, ag: di
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uiſa autem ce bifariam in
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cto</
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h: & iuncta dh produca
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tur in k. </
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ſtrabimus in linea dk eſſe cen
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trum circuli, & centrum gra
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uitatis trianguli cde, & tra
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peziorum bcef, abfg, hoc
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eſt centrum totius heptago
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ni: & rurſus eadem centra in
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alia diametro cl ſimiliter du
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cta contineri. </
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<
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">Quare & centrum grauitatis heptagoni, &
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centrum circuli in idem punctum conueniunt. </
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<
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