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As for example. The Logarithmes of the proportionall
sines, namely cz which is to ez, as
hz is to kz, are respectiuely the numbers
defining AC, AE, AH, AK, (as is manifest
by the 6 Definition.) Now AC, and AE differ by the
difference CE, and AH and AK by the difference
HK. But by the first definition and his Corolarie CE and
HK, are equall: therefore the Logarithmes of the foresaid
proportional sines are equally differing. And so in all proportionals.
For what affections and symtomes the
Logarithmes haue gotten in their first beginning and generation,
the same must they needes retaine and keepe afterwards.
But in their beginning and generation, they are
indued with this affection, and this law is prescribed vnto them, that
they bee equally differing, when their sines or quantities are
proportionall (as it appeareth by the definition of a Logarithme,
and of both motions, and shall hereafter more fully appeare in the
making of the Logarithmes.) Therefore the Logarithmes of
proportional quantities are equally differing.
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