'Compound ratio' definitions:

Definition of 'Compound ratio'

From: 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. [1913 Webster]
  • 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. [1913 Webster]
  • 2. Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress. [1913 Webster]
  • 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. [1913 Webster]

Definition of 'Compound ratio'

From: 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. [1913 Webster]
  • Compound substances are made up of two or more simple substances. --I. Watts. [1913 Webster]
  • 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. [1913 Webster]