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# JB/135/242/001

Completed

1831 March 13 M
Posology

Alegomorphics
Algebra

4 4

9
Equivalences in Algebra
— addition + &c.

Exit Enter vulgar arithmetic. Enter algebra scientific
arithmetic commonly called algebra (a). Of the Ulterior condensations
now performed examples are there —

1. To the word addition is substituted the sign + (b)
2 To the word multiplication is substituted the sign x
3 To the word substraction is substituted the sign -
4. To the word division is substituted the sign ÷ (c)

Inconsiderable comparatively speaking is the degree of compression, and the saving made
in these cases, comparison had with those which now follow

10
Letters of the alphabet
used to express any
number of combinations
— x, y, z.

For giving expression to combinations of quantities in any number
results of the several operations of addition multiplication,
substraction and division for substituted to each such
combination some single letter of the alphabet taken at its
commencement or at any rate at a part antecedent to that
which is occupied by the three last letters x. y. z.

11.
Substitution of single
to combinations of
signs is carried to any length.

To any length is carried upon occasion this substitution
of single signs to combinations of signs.

12
X, Y, Z, express unknown
quantities.

For the giving expression to the quantities as yet unknown,
and for the exhibition of the equivalence to which this
same algebraical operation or say process is employed, are
reserved these three last letters of the alphabet.

Notes

(a) In Chrestomathia an appellation employed to include
in its signification that of arithmetic and that of algebra is
arithmology.

(b) So to the phrase with the addition of is substituted the
latin word plus in English more. Thus in the case of addition.
In the case of multiplication, by analogy might have been invalid
and employed the compound word plus ultra, as inverting
the order the word ultraplus.

(c) ☞ Speak further on of the ulterior degrees of multiplication
(a) In Chrestomathia
called pairs: as expressed by figures placed at the head and on the
right of the algebraically employed concluding letters x, y, z.

Identifier: | JB/135/242/001
"JB/" can not be assigned to a declared number type with value 135.

1831-03-13

9-12

135

posology

242

posology

001

text sheet

1

recto

c4 / e4

jeremy bentham

street & co 1830

antonio alcala galiano

1830

46360