 | Silvestre François Lacroix - Algebra - 1818 - 422 pages
...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... | |
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...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... | |
 | Leonhard Euler - Algebra - 1821 - 380 pages
...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... | |
 | Silvestre François Lacroix - Arithmetic - 1821 - 160 pages
...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... | |
 | Silvestre François Lacroix - Algebra - 1825 - 324 pages
...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... | |
 | Silvestre François Lacroix - Arithmetic - 1825 - 168 pages
...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... | |
 | William Smyth - Algebra - 1830 - 278 pages
...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... | |
 | William Smyth - Algebra - 1833 - 288 pages
...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... | |
 | John M'Nevin - Arithmetic - 1841 - 300 pages
...) 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:... | |
 | John M'Nevin - Arithmetic - 1841 - 300 pages
...) 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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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... 
