multiples

n. (Math.) One of the products arising from the multiplication of two or more quantities by the same number or quantity. Thus, seven times 2, or 14, and seven times 4, or 28, are equimultiples of 2 and 4. [ 1913 Webster ]

a. Having several or many planes or plane surfaces; as, a multiplane kite. [ Webster 1913 Suppl. ]

n. [ Multi- + plane. ] (Aeronautics) An airplane with three or more superposed main wings, such as a triplane. [ Webster 1913 Suppl. ]

a. [ Cf. F. multiple, and E. quadruple, and multiply. ] Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts. [ 1913 Webster ]

Law of multiple proportion (Chem.), the generalization that when the same elements unite in more than one proportion, forming two or more different compounds, the higher proportions of the elements in such compounds are simple multiples of the lowest proportion, or the proportions are connected by some simple common factor; thus, iron and oxygen unite in the proportions FeO, Fe2O3, Fe3O4, in which compounds, considering the oxygen, 3 and 4 are simple multiplies of 1. Called also the Law of Dalton or Dalton's Law, from its discoverer. --
Multiple algebra, a branch of advanced mathematics that treats of operations upon units compounded of two or more unlike units. --
Multiple conjugation (Biol.), a coalescence of many cells (as where an indefinite number of amoeboid cells flow together into a single mass) from which conjugation proper and even fertilization may have been evolved. --
Multiple fruits. (Bot.) See Collective fruit, under Collective. --
Multiple star (Astron.), several stars in close proximity, which appear to form a single system. [ 1913 Webster ]

n. (Math.) A quantity containing another quantity an integral number of times without a remainder. [ 1913 Webster ]

☞ A
common multiple of two or more numbers contains each of them a number of times exactly; thus, 24 is a common multiple of 3 and 4. The
least common multiple is the smallest number that will do this; thus, 12 is the least common multiple of 3 and 4 (abbreviated LCM). [ 1913 Webster ]

a. [ L. multiplex, -plicis. See Multiply. ] Manifold; multiple. [ 1913 Webster ]

a. [ Cf. F. multipliable. ] Capable of being multiplied. -- Mul"ti*pli`a*ble*ness, n. [1913 Webster]

a. [ L. multiplicabilis. ] Capable of being multiplied; multipliable. [ 1913 Webster ]

n. [ L. multiplicandus to be multiplied: cf. F. multiplicande. ] (Math.) The number which is to be multiplied by another number called the multiplier. See Note under Multiplication. [ 1913 Webster ]

a. [ L. multiplicatus, p. p. of multiplicare. See Multiply. ] Consisting of many, or of more than one; multiple; multifold. [ 1913 Webster ]

Multiplicate flower (Bot.), a flower that is double, or has an unusual number of petals in consequence of the abnormal multiplication of the parts of the floral whorls. [ 1913 Webster ]

n. [ L. multiplicatio: cf. F. multiplication. See Multiply. ] 1. The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the multiplication of the human species by natural generation. [ 1913 Webster ]

The increase and multiplication of the world. Thackeray. [ 1913 Webster ]

2. (Math.) The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of division. [ 1913 Webster ]

☞ The word multiplication is sometimes used in mathematics, particularly in multiple algebra, to denote any distributive operation expressed by one symbol upon any quantity or any thing expressed by another symbol. Corresponding extensions of meaning are given to the words multiply, multiplier, multiplicand, and product. Thus, since φ(x + y) = φx + φy (see under Distributive), where φ(x + y), φx, and φy indicate the results of any distributive operation represented by the symbol φ upon x + y, x, and y, severally, then because of many very useful analogies φ(x + y) is called the product of φ and x + y, and the operation indicated by φ is called multiplication. Cf. Facient, n., 2. [ 1913 Webster ]

3. (Bot.) An increase above the normal number of parts, especially of petals; augmentation. [ 1913 Webster ]

4. The art of increasing gold or silver by magic, -- attributed formerly to the alchemists. [ Obs. ] Chaucer. [ 1913 Webster ]

Multiplication table, a table giving the product of a set of numbers multiplied in some regular way; commonly, a table giving the products of the first ten or twelve numbers multiplied successively by 1, 2, 3, etc., up to 10 or 12. Called also a times table, used by students in elementary school prior to memorization of the table. [ 1913 Webster ]

a. [ Cf. F. multiplicatif. ] Tending to multiply; having the power to multiply, or incease numbers. [ 1913 Webster ]

adv. So as to multiply. [ 1913 Webster ]

n. [ L.: cf. F. multiplicateur. Cf. Multiplier. ] The number by which another number is multiplied; a multiplier. [ 1913 Webster ]

a. [ See Multiplex. ] Manifold. [ Obs. ] [ 1913 Webster ]

n. [ Cf. F. multiplicité. ] The quality of being multiple, manifold, or various; a state of being many; a multitude; as, a multiplicity of thoughts or objects. “A multiplicity of goods.” South. [ 1913 Webster ]

n. [ Cf. F. multiplier. Cf. Multiplicator. ] 1. One who, or that which, multiplies or increases number. [ 1913 Webster ]

2. (Math.) The number by which another number (the multiplicand) is multiplied. See the Note under Multiplication. [ 1913 Webster ]

3. (Physics) An instrument for multiplying or increasing by repetition or accumulation the intensity of a force or action, as heat or electricity. It is particularly used to render such a force or action appreciable or measurable when feeble. See Thermomultiplier. [ 1913 Webster ]

v. t. [ imp. & p. p. Multiplied p. pr. & vb. n. Multiplying ] [ F. multiplier, L. multiplicare, fr. multiplex manifold. See Multitude, Complex. ] 1. To increase in number; to make more numerous; to add quantity to. [ 1913 Webster ]

Impunity will multiply motives to disobedience. Ames. [ 1913 Webster ]

2. (Math.) To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication. [ 1913 Webster ]

3. To increase (the amount of gold or silver) by the arts of alchemy. [ Obs. ] [ 1913 Webster ]

Multiplying gear (Mach.), gear for increasing speed. --
Multiplying lens. (Opt.) See under Lens. [ 1913 Webster ]

v. i. 1. To become greater in number; to become numerous. [ 1913 Webster ]

When men began to multiply on the face of the earth, and daughters were born unto them. Gen. vi. 1. [ 1913 Webster ]

2. To increase in extent and influence; to spread. [ 1913 Webster ]

The word of God grew and multiplied. Acts xii. 24. [ 1913 Webster ]

3. To increase amount of gold or silver by the arts of alchemy. [ Obs. ] Chaucer. [ 1913 Webster ]

v. t. & i. To multiply or increase too much; to repeat too often. [ 1913 Webster ]

a. (Math.) Of or pertaining to a submultiple; being a submultiple; as, a submultiple number; submultiple ratio. [ 1913 Webster ]

n. (Math.) A number or quality which is contained in another an exact number of times, or is an aliquot part of it; thus, 7 is the submultiple of 56, being contained in it eight times. [ 1913 Webster ]