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1820 June 25
Posology alegemorphic
Ch. Numeration its modes – Our simple or undiversified and diversified.
☞ This to come after every that has been delivered
on the subject of and simple or undiversified arithmetic, and applied
to particular subjects as the diversified mode is.
Question. How many and what modes of numeration
require in the first place to be distinguished, when
considered with reference to simplicity?
Answer. Two: the viz. 1. the simple or undiversified: and 2. the diversified.
Question. What do you understand by the undiversified?
give an example.
Answer. I cal The example Answer. By the undiversified I understand that
which alone has hitherto been considered. It is that mode of
numeration which is in universal use in the civilized
nations in Europe, and is upon occasion applicable, and upon occasion is accordingly
applied, to all purposes, as for which, and on all
occasions, in which the bringing to view different numbers
of objects of any sort is required.
Question. It is employable then, even on those same occasions, all of them,
in which the diversified
mode is employable.
Answer. Yes: and,
incidentally is accordingly
so employed.
Question. How Why do you call What do you understand mean by calling it
undiversified?
Answer. Because whatsoever be the number multitude of
denominations names employed in giving denomination to the
number in question required each more ample denomination contains exports the
same number of the expressed by the next
most ample.
Thus the sign of the least ample denomination being the unit
one, 1. and the sign of the the more ample denomination 10 containing ten standing in the second place being
expressive of ten of these units, the sign of the next more ample denomination
to that, and which stands in the third place, namely one hundred, is expressive
of the tens, and thence of a hundred units: the sign of the next
above that, and which stands in the fourth place, namely
a thousand is expressive of the hundreds and thereby of a
hundred tens: and so on without end. 1 is the sign expressive
of one. 10 is the sign expressive of eleven which means the same
as ten and one: 111 is
the sign expressive of
one hundred and eleven
which means the same as ten tens together and one
one ten and one unit.
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Identifier: | JB/550/415/002 "JB/" can not be assigned to a declared number type with value 550.
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550 |
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415 |
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002 |
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