Valerio, Luca - De centro gravitatis solidorvm libri tres

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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