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MAT 75
,Mano-scope, s. See SKOTEO, p. 27
Marty,r, s. See MARTua, p. 19.
Mateo-techny, s. See TECIINE, p. so.
~l\I~~ih-orama, S., See DRAMA, p. 23. [llfarinus is a
" ,..Latin word, and signifies belonging to the sea.]
r""'::" :Mathematics, s. from f'cdJ1]';.tet, '11wth2ma, a science.
The science which contemplates whatever is capable
of being numbered or mcasured. Mathematics is
commonly distinguished into Speculative and Prac-
,tical,. Pure and Mixed. Speculative :Uathcmatics
simply considers the properties of things; and Practical
l1Iatllematics applies the knowledge of those
:. - properties to some uses in life.
Pure l1Iathematics is that branch which considers
quantity abstractedly", and without any relation to
matter or bodies, as Arithmetic and Geometry.
'l1fixed l1Iatllematics, considers quantity as subsisting
in material being; for instance, length in a pole,
depth in a l'iver, height in a tower, &c.-Pure l1Iathe­
-malics, again, either considers quantity as abstract or
discrete t (these words are synonymous in this sense),
and so computable, as Arithmetic; or as concrctef,
" Abstraction is formed from the Latin words, abs,
from, and traho, I draw. It is that operation of the
Inind, whereby we separate things naturally existing
together; and form and consider ideas of things thus
separated. •
ri" Discrete is from dis, a particle denoting separation,
and cerno (of which the participle is cretus), I consider.
'V:hen we speak of 1, 2, 3, 4, 5, 6, 7, 8, 9, without
applying them to any thing, they arc called discrete,
Of, morc usually, abstract numbers; but if we say 2
men, S womell, 4 boys, and so on, 2, 3, '4, become
conC"cle numbers.
* Concrete is from con, with or togcther, and (;erno.
Sec the prcceding note.
H 2