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Proposition 6. |
Of the Logarithmes of foure continually
proportionals, te triple of either of the middle ones, is equall to
the summe of the further extraame, and the double of the neerer.
By the second proposition, the double of the
second made lesse by the first, is equall to the third; and by the
third proposition the double of this, that is, the fourefold of the
second made lesse by the double of the first, shall be equall to the
summe of his extreames, that is, the fourth more by the second. Now,
if from both sides of the equality you substract the second, the
triple of the second made lesse by the double of the first, shall be
made equall to the fourth. Againe, to the sides of this equality adde
the double of the first, and there shall arise the triple of the
second, equall to the fourth, more by the double of the first, which
wee vndertooke to proue.
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An Admonition.
Hitherto we haue shewed the making and symptomes of
Logarithmes; Now by what kinde of account or method of calculating
they may be had, it should here bee shewed. But because we do here set
down the whole Tables, and all his Logarithmes with their Sines
to euery minute of the quadrant: therfore passinf ouer the doctrine of
making Logarithmes, til a fitter time, we make haste to the vse
of them: that the vse and profit of the thing being first conceiued,
the rest may please the more, being set forth hereafter, or else
displease the lesse, being buried in silence. For I expect the
iudgement and censure of learned men hereupon, before the rest rashly
published, be exposed to the detraction of the enuious.
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