Taylor - Theoretic Arithmetic.pdf - Platonic Philosophy

9X 1 and +1=
10 the 2nd
9 x 10 and + 1= 91 the 11th 1 endecagonal gnomon.
9~ 27 and + 1=244 the 28th J
&c.
In the next place, with respect to the properties of the decad,
it must be observed, that though the monad is the form of all
arithmetical forms, yet it is chiefly the form of the decad. For
what the monad is simply to all the series of numbers, that the
decad is to the following hundreds, thousands, and millions;
whence according to a secondary progression, it is denominated
unity. Again, as this number is the ultimate perfection of beings,
it contains all things in its omniform nature. For all proportion
subsists within this number; the arithmetical in a
natural progression of numbers from unity; the geometrical in
the numbers 1, 2, 4, and 1, 3, 9; and the harmonica1 in the
numbers 2, 3,6, and 3,4, 6.
Again, it will be found that if 10 multiplies any gnomon of
a triangle, square, or endecagon, or any square, or endecagon,
and unity is added to the product the sum will always be a
duodecagonal gnomon. For,
10 x 1 and +1=11 the 2nd 1
lox 2 and + 1=21 the 3rd
duodecagonal gnomon.
10x3 and +1=31 the 4th
&c.
10x1 and +1=11 the 2nd 1
10x3 and +1=31 the 4th duodecagonal gnomon.
10X 5 and f l=51 the 6th
&c.
I
1 0 1 ~ and +1= 11 the 2nd
10x10 and +1=101 thellth duodecagonal gnomon.
10X 19 and +1=191 the 20th
10x1 and +1=11
the 2nd
10 x 4 and + 1=41 the 5th duodecagonal gnomon.
10x9 and +l=9l
the 10th I
&c.
&c.