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# JB/135/248/001

Completed

1820 June 25 M 10
Posology Alegomorphic

Theoretic or Practical
Ch 1 Numeration
52
Properties
4. Promptitude
Algebra

4 4

1 Unknown quantities whether no more and why
2 The other letters of the alphabet instruments for abbreviation of known quantities
3. A single letter substituted to a whole groupe of letters variously examined
by the signs of the operations.

28
5th — algebraic signs,
which apply to quantities
& operations.

Question What is the third? fourth? fifth?

to the signs employed in common Arithmetic.

Question what how many and what are the subjects
to which the means of abbreviation and thence of promptitude
employed in Algebra have application?

Answer. Two: namely the signs of quantities and
the operations.

29
Signs employed to express
known and unknown
quantities.

Question what are the signs employed to give a more
abridged expression to the quantities?

Answer. They are drawn Signs from the same source are in
this way and to this use employed in the designation of two
classes of quantities very differently circumstanced.

Question. How many and what are those classes
of quantities.

Answer. Two: namely those which are unknown
and those which are known

30
Unknown quantities
mentioned because
peculiar to Algebra.

Question Why on this occasion is it in the first place
that you make mention of the unknown?

Answer. Because it is of these alone that the use
is peculiar to Algebra. Those what are known are those
which are employed in common Arithmetic, and what on
that account are considered and spoken of as being known.

31
Signs commonly employed
x, y, z.

Question What are the signs employed in Algebra for the more common and
the giving expression to prompt designation of the unknown quantities

Answer. They are commonly the three last letters of
our alphabet: x, y, and z.

☞ Give an example of the difference between an a known quantity
and an unknown one.

Identifier: | JB/135/248/001
"JB/" can not be assigned to a declared number type with value 135.

1820-06-25

28-31

135

posology

248

posology alegomorphic

001

text sheet

1

recto

c4 / d10 / e4 / g52

jeremy bentham

c wilmott 1819

andreas louriottis

1819

46366