Valerio, Luca, De centro gravitatis solidorum, 1604

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1
Si parallelepipedum AB, cuius axis CD, ſectum in
duo
parallelepipeda AE, EN, quare & axis CD, in
axes
CL, LD, parallelepipedorum AE, EN.
Et ſint
centra
grauitatis; F, parallelepipedi EN, & G, paral­
lelepipedi
AE, & H, parallelepipedi AB, in medio cu­
iuſque
axis ex antecedenti.
Dico eſse FH, ad HG,
vt
parallelepipedum AE, ad EN, parallelepipedum.
Iungantur enim diametri baſium oppoſitarum, quæ per
puncta
axium D, L, G, tranſibunt, ADM, KLE,
NCB
; iamque parallelogramma
erunt
AB, AE, EN, DB, DE,
EC
, propter eas, quæ parallelas
iungunt
, & æquales: quorum bi­
na
latera oppoſita ſecta erunt bi­
fariam
in punctis C, L, D, per
definitionem
axis: punctum igitur
F
, in medio rectæ CL, oppoſi­
torum
laterum bipartitorum ſectio­
nes
coniungentis, erit parallelo­
grammi
EN, centrum grauitatis.
Eadem ratione & parallelogram­
38[Figure 38]
mi
AE, centrum grauitatis erit G, & H, parallelogram
mi
AB.
Vt igitur parallelogrammum AE, ad paralle­
logrammum
EN, hoc eſt, vt baſis ME, ad baſim EB;
hoc
eſt, vt parallelogrammum MO, ad parallelogram­
mum
OB: hoc eſt, vt parallelepipedum AE, ad paral­
lelepipedum
EN: ita erit FH, ad HG.
Quod de­
monſtrandum
erat.

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