Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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that the part towards the leſſer Magnitudes is
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more than triple the remaining part; and alſo
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one may take a diſtance that is to the ſame leſs
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than triple.</
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In the Ballance B E let there be Magnitudes, ſuch as were ſpoken off,
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from which let there be other Magnitudes taken away that were to
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one another as they were diſpoſed in the precedent, and let it be of
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the compound of all
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the A A: the reſt
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in which are C
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ſhall be diſtributed
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in the ſame order,
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but the greateſt de
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ficient. </
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<
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>Let E D be
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triple to D B; and
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G F triple to F B.
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<
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>D ſhall be the Center
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of the
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Equilibrium
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of the compound con
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ſiſting of all the A A;
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and F that of the
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compound of all the
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C C. </
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<
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>Wherefore the
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Center of the com
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pound of both A A
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and C C falleth be
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tween D and F. </
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<
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>Let
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it be O. </
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<
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>It is there
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fore manifeſt that
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E O is more than triple to O B; but G O leſs thantriple to the
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ſame O B: Which was to be demonſtrated.
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