Valerio, Luca, De centro gravitatis solidorum, 1604

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1
PROPOSITIO XX.
Omnis trapezij habentis duo latera parallela
centrum grauitatis eſt in illa recta, quæ prædi­
ctorum bipartitorum laterum ſectiones iungit.
atque in eo puncto, in quo tertia pars eius media
ſic diuiditur, vt ſegmentum propinquius mino­
ri parallelarum ad reliquum eam proportionem
habeat, quam maior parallelarum ad minorem.
Talis autem rectæ lineæ ſic diuiſæ, ſegmentum
minorem parallelarum attingens eſt ad reliquum,
vt dupla maioris parallelarum vna cum minori,
ad duplam minoris vna cum maiori.
Sit trapezium ABCD, cuius duæ AD, BC, ſint pa­
rallelæ: ſitque AD, maior. Sectiſque AD, BC, bifa­
riam in punctis F, E,
iunctaque EF, & ſe­
cta in tres partes æ­
quales in punctis K,
H, fiat vt AD, ad
BC, ita HG, ad GK.
Dico G, eſse centrum
grauitatis trapezij A
BCD: & vt eſt du­
pla ipſius AD, vna
cum BC, ad duplam
ipſius BC, vna cum
AD, ita eſse EG, ad
29[Figure 29]
GF. Ducta enim per punctum H, ipſis AD, BC, pa-

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