Elementary AlgebraAmerican Book Company, 1908 - 407 páginas |
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Página 9
... letters of the alphabet are in common use . THE ADVANTAGE OF THE GENERAL NUMBER SYMBOL 3. Many of the familiar principles of arithmetic may be stated much more briefly , and usually with greater clearness , if general or literal number ...
... letters of the alphabet are in common use . THE ADVANTAGE OF THE GENERAL NUMBER SYMBOL 3. Many of the familiar principles of arithmetic may be stated much more briefly , and usually with greater clearness , if general or literal number ...
Página 10
... letters of each element for the general expression . Thus : I = p xrxt . ( c ) Two principles relating to the operation of division in arithmetic may be clearly and briefly expressed by the use of literal symbols . D Thus Dividend ...
... letters of each element for the general expression . Thus : I = p xrxt . ( c ) Two principles relating to the operation of division in arithmetic may be clearly and briefly expressed by the use of literal symbols . D Thus Dividend ...
Página 25
... letters . The substitution is made both in the given expressions and in the sum obtained , and the work may be considered accurate if both results agree . - - Illustration : To check the sum of 5a + 76 + 2c and 2 a 3b 5c , let a = 1 , b ...
... letters . The substitution is made both in the given expressions and in the sum obtained , and the work may be considered accurate if both results agree . - - Illustration : To check the sum of 5a + 76 + 2c and 2 a 3b 5c , let a = 1 , b ...
Página 44
... letter in the expression . If the powers of the selected letter increase from left to right , the expression is arranged in ascending order . Thus , x - 2x2 + 5 x3- 7 x2 + 10 x5 . If the powers of the selected letter decrease from left ...
... letter in the expression . If the powers of the selected letter increase from left to right , the expression is arranged in ascending order . Thus , x - 2x2 + 5 x3- 7 x2 + 10 x5 . If the powers of the selected letter decrease from left ...
Página 45
... letter . Multiply all the terms of the multiplicand by each term of the multiplier . Add the partial products thus formed . Illustrations : 1. Multiply 2a + 7 by 3a - MULTIPLICATION OF POLYNOMIAL BY POLYNOMIAL 45 ' Multiplication of a ...
... letter . Multiply all the terms of the multiplicand by each term of the multiplier . Add the partial products thus formed . Illustrations : 1. Multiply 2a + 7 by 3a - MULTIPLICATION OF POLYNOMIAL BY POLYNOMIAL 45 ' Multiplication of a ...
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Términos y frases comunes
a²x affected quadratic equation algebraic expression arithmetical means arithmetical progression ax² binomial coefficient cube root derive a formula difference digits dividend division divisor equal factors Exercise exponent feet Find the number Find the sum Find the value fraction geometrical progression given equation given expression given number Hence highest common factor Illustrations imaginary numbers indicated integral LINEAR EQUATIONS literal logarithm lowest common multiple m³n mantissa monomial Multiply number of terms obtain parenthesis Plot the graph polynomial principle proportion quadratic equation quadratic surd quotient radical radicand remainder required number Result second term Simplify smaller number solution Solve the equations square root Substituting subtracted surd symbols Transposing unknown number unknown quantity Whence
Pasajes populares
Página 57 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 9 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Página 373 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 335 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Página 373 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 156 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Página 321 - In any proportion, the product of the means equals the product of the extremes.
Página 87 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Página 318 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Página 367 - The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes.