Valerio, Luca, De centro gravitatis solidorvm libri tres

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1ipſius OR; ſed & AO erat dupla ipſius OR; æqualis
igitur AO erit ipſi ON. quare vt AK, ad KD, ita erit
AO, ad ON: igitur in triangulo ADN, erit KO, ipſi
DN, parallela.
Eadem ratione ſi iungerentur rectæ BH,
CF oſtenderemus & duos reliquos axes LP, MQ, eſ­
ſe axi DN parallelos: quatuor autem prædicti axes in­
ſiſtunt plano trianguli KLM, ita vt DN tranſeat per
centrum S: reliqui autem KO, LP, MQ, terminentur
ad angulorum vertices K, L, M, trianguli KLM; igi­
tur ſi tres æquales magnitudines habeant centra grauita­
tis in axibus KO, LP,
Mque compoſiti ex ijs
tribus magnitudinibus
in axe DN erit centrum
grauitatis.
Rurſus
quoniam E ponitur cem
trum pyramidis ABCD,
erit idem E centrum
octaedri FGHKLM,
idque in axe DN: eſt
autem idem centrum gra
uitatis octaedri, & figu
ræ: centrum igitur E
octaedri FCHKLM
erit in axe DN.
Quod
46[Figure 46]
ſi quatuor reliquæ pyramides dempto prædicto octaedro
ſimiliter diuidantur, ac pyramis ABCD diuiſa fuit, erunt
rurſus in ſingulis quatuor prædictarum pyramidum ſin­
gula octaedra centrum grauitatis habentia vnumquodque
in axe ſuæ pyramidis: quæ pyramides cum ſint inter ſe
æquales, earum dimidia octaedr a ipſis inſcripta inter ſe
erunt æqualia: ſunt autem eorum centra grauitatis in axi­
bus abſciſsarum pyramidum, DS, KO, LP, MQ
axis autem DS: eſt in axe DN; per ea igitur, quæ de-

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