1that the part towards the leſſer Magnitudes is
more than triple the remaining part; and alſo
one may take a diſtance that is to the ſame leſs
than triple.
more than triple the remaining part; and alſo
one may take a diſtance that is to the ſame leſs
than triple.
In the Ballance B E let there be Magnitudes, ſuch as were ſpoken off,
from which let there be other Magnitudes taken away that were to
one another as they were diſpoſed in the precedent, and let it be of
the compound of all
the A A: the reſt
174[Figure 174]
in which are C
ſhall be diſtributed
in the ſame order,
but the greateſt de
ficient. Let E D be
triple to D B; and
G F triple to F B.
D ſhall be the Center
of the Equilibrium
of the compound con
ſiſting of all the A A;
and F that of the
compound of all the
C C. Wherefore the
Center of the com
pound of both A A
and C C falleth be
tween D and F. Let
it be O. It is there
fore manifeſt that
E O is more than triple to O B; but G O leſs thantriple to the
ſame O B: Which was to be demonſtrated.
from which let there be other Magnitudes taken away that were to
one another as they were diſpoſed in the precedent, and let it be of
the compound of all
the A A: the reſt
174[Figure 174]in which are C
ſhall be diſtributed
in the ſame order,
but the greateſt de
ficient. Let E D be
triple to D B; and
G F triple to F B.
D ſhall be the Center
of the Equilibrium
of the compound con
ſiſting of all the A A;
and F that of the
compound of all the
C C. Wherefore the
Center of the com
pound of both A A
and C C falleth be
tween D and F. Let
it be O. It is there
fore manifeſt that
E O is more than triple to O B; but G O leſs thantriple to the
ſame O B: Which was to be demonſtrated.