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" QUANTITIES. 28. 1. The object of division in algebra is the same as that of division in arithmetic, viz. to find one of the factors of a given product, when the other is known. According to this definition the divisor multiplied by the quotient must produce... "
A Treatise on Algebra: For the Use of Schools and Colleges - Side 34
av William Smyth - 1858 - 320 sider
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Elements of Algebra

Silvestre François Lacroix - 1818 - 422 sider
...division, like division in arithmetic, is to be regarded as an operation disigned to discover one o£ the factors of a given product, when the other is known. According to this definition, the quotient multiplied by the divisor must produce anew the dividend. • By applying what is here said...
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Elements of Geometry

Adrien Marie Legendre - 1819 - 574 sider
...ALGEBRAIC division, like division in arithmetic, is to be regarded as an operation disigned to discover one of the factors of a given product, when the other is known. According to this definition, the quotient multiplied by th« divisor must produce anew the dividend. By applying what is here said to...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - 1821 - 380 sider
...the number sought, which is 4. Whatever then may be the object in view, division consists in finding one of. the factors of a given product, when the other is known. 37. The number to be divided is called the dividend, the factor, lhat, is known, and by which we must...
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An Elementary Treatise on Arithmetic

Silvestre François Lacroix - 1821 - 160 sider
...the number sought, which is 4. Whatever then may be the object in view, division consists in finding one of the factors of a given product, when the other is known. 37. The number to be divided is called the dividend, the factor, that is known, and by which we must...
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Elements of Algebra

Silvestre François Lacroix - 1825 - 324 sider
...ALGEBRAIC division, like division in arithmetic, is to be regarded as an operation designed to discover one of the factors of a given product, when the other is known. According to this definition, the quotient multiplied by the divisor must produce anew the dividend. By applying what is here said to...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ...

Silvestre François Lacroix - 1825 - 168 sider
...the number sought, which is 4. Whatever then may be the object in view, division consists in finding one of the factors of a given product, when the other is knuwn. 37. The number to be divided is called the dividend ; the factor, that is known, and by which...
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Elements of Algebra

William Smyth - 1830 - 278 sider
...64, will be equal to the product of their sum and difference. DIVISION OF ALGEBRAIC QUANTITIES. 51. 1. The object of division in algebra is the same as...viz. to find one of the factors of a given product, whtn the other is known. According to this definition the divisor multiplied by the quotient must produce...
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Elements of Algebra

William Smyth - 1833 - 288 sider
...factors of the product 5 x3 — 10 x2 y2 — 15 x2 z2 + 30 x y2 z" DIVISION OF ALGEBRAIC QUANTITIES. 42. 1. The object of division in algebra is the same as...and quotient ; Whence the quotient is obtained by striking out of the dividend the factors of the divisor. Thus to divide abcd by ac, we strike out of...
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The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - 1841 - 300 sider
...) DIVISION consists of Addition, Subtraction, and Multiplication, in its operation, and in finding one of the factors of a given product, when the other is known; like SUBTRACTION, it is also, founded upon the principles of DECREASE, and can be illustrated thus:...
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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - 1841 - 300 sider
...) DIVISION consists of Addition, Subtraction, and Multiplication, in its operation, and in finding one of the factors of a given product, when the other is known; like SUBTRACTION, it is also, founded upon the principles of DECREASE, and can be illustrated thus:...
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