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Compound ratio
(gcide) | Compound \Com"pound\, a. [OE. compouned, p. p. of compounen. See
Compound, v. t.]
Composed of two or more elements, ingredients, parts;
produced by the union of several ingredients, parts, or
things; composite; as, a compound word.
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Compound substances are made up of two or more simple
substances. --I. Watts.
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Compound addition, subtraction, multiplication,
division (Arith.), the addition, subtraction, etc., of
compound numbers.
Compound crystal (Crystallog.), a twin crystal, or one
seeming to be made up of two or more crystals combined
according to regular laws of composition.
Compound engine (Mech.), a form of steam engine in which
the steam that has been used in a high-pressure cylinder
is made to do further service in a larger low-pressure
cylinder, sometimes in several larger cylinders,
successively.
Compound ether. (Chem.) See under Ether.
Compound flower (Bot.), a flower head resembling a single
flower, but really composed of several florets inclosed in
a common calyxlike involucre, as the sunflower or
dandelion.
Compound fraction. (Math.) See Fraction.
Compound fracture. See Fracture.
Compound householder, a householder who compounds or
arranges with his landlord that his rates shall be
included in his rents. [Eng.]
Compound interest. See Interest.
Compound larceny. (Law) See Larceny.
Compound leaf (Bot.), a leaf having two or more separate
blades or leaflets on a common leafstalk.
Compound microscope. See Microscope.
Compound motion. See Motion.
Compound number (Math.), one constructed according to a
varying scale of denomination; as, 3 cwt., 1 qr., 5 lb.;
-- called also denominate number.
Compound pier (Arch.), a clustered column.
Compound quantity (Alg.), a quantity composed of two or
more simple quantities or terms, connected by the sign +
(plus) or - (minus). Thus, a + b - c, and bb - b, are
compound quantities.
Compound radical. (Chem.) See Radical.
Compound ratio (Math.), the product of two or more ratios;
thus ab:cd is a ratio compounded of the simple ratios a:c
and b:d.
Compound rest (Mech.), the tool carriage of an engine
lathe.
Compound screw (Mech.), a screw having on the same axis two
or more screws with different pitch (a differential
screw), or running in different directions (a right and
left screw).
Compound time (Mus.), that in which two or more simple
measures are combined in one; as, 6-8 time is the joining
of two measures of 3-8 time.
Compound word, a word composed of two or more words;
specifically, two or more words joined together by a
hyphen.
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Compound ratio
(gcide) | Ratio \Ra"ti*o\ (r[=a]"sh[i^]*[-o] or r[=a]"sh[-o]), n. [L., fr.
reri, ratus, to reckon, believe, think, judge. See Reason.]
1. (Math.) The relation which one quantity or magnitude has
to another of the same kind. It is expressed by the
quotient of the division of the first by the second; thus,
the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b
by a/b; or (less commonly) the second term is made the
dividend; as, a:b = b/a.
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Note: Some writers consider ratio as the quotient itself,
making ratio equivalent to a number.
[1913 Webster] The term ratio is also sometimes applied
to the difference of two quantities as well as to their
quotient, in which case the former is called
arithmetical ratio, the latter, geometrical ratio. The
name ratio is sometimes given to the rule of three in
arithmetic. See under Rule.
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2. Hence, fixed relation of number, quantity, or degree;
rate; proportion; as, the ratio of representation in
Congress.
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Compound ratio, Duplicate ratio, Inverse ratio, etc.
See under Compound, Duplicate, etc.
Ratio of a geometrical progression, the constant quantity
by which each term is multiplied to produce the succeeding
one.
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