The construction of the wonderful canon of logarithms

50 Appendix.
For as in statics, from weights of \, of 2, of \, of %,
and of other like numbers ofpounds in the same proportion,
every number ofpounds weight, which to us now are
Logarithms, may be formed by addition ; so, from the
proportionals V, T, S, R, &c., which correspond to them,,
and from, others also to be formed in duplicate ratio, the
proportionals corresponding to every proposed Logarithm
may be formed by corresponding multiplication of them.
am,ong themselves, as experience will show.
The special difficulty of this method, however, is in
finding the ten proportionals to twelve places by extraction
of the fifth rootfrom sixty places, but though this method
is considerably more difficult, it is correspondingly more
exact for finding both the Logarithms of proportionals
and the proportionals of Logarithms.
Another method for the easy construction
IF
of the Logarithms of composite numbers, when
the Logarithms of their primes are known.
two numbers with known Logarithms be multiplied
together, forming a third ; the sum of their Logarithms
will be the Logarithm of the third.
Also if one number be divided by another number, producing
a third; the Logarithm of the second subtracted
from, the Logarithm of the first, leaves the Logarithm of
the third.
If from a number raised to the second power, to the
third power, to the fifth power, &c., certain other numbers
be produced ; from the Logarithm of the first multiplied
by two, three, five, &c., the Logarithms of the others
are produced.
Also