Elementary Algebra RevisedAmerican book Company, 1913 - 447 páginas |
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Página 8
... Integral Exponent · 358 Proof of the Binomial Formula Applications . 359 361 XXVII . Logarithms 364 The Properties of Logarithms • The Parts of a Logarithm The Use of the Four - place Table The Cologarithm . 365 367 374 376 Use of ...
... Integral Exponent · 358 Proof of the Binomial Formula Applications . 359 361 XXVII . Logarithms 364 The Properties of Logarithms • The Parts of a Logarithm The Use of the Four - place Table The Cologarithm . 365 367 374 376 Use of ...
Página 38
... Integral Multiplier . 3 x 5 means that 5 is taken three times in a sum . Or , 3x5 = 5 + 5 + 5 . By the same process the multiplier was obtained from unity , for 3 = 1 + 1 + 1 . The Fractional Multiplier . Obtained from unity a ...
... Integral Multiplier . 3 x 5 means that 5 is taken three times in a sum . Or , 3x5 = 5 + 5 + 5 . By the same process the multiplier was obtained from unity , for 3 = 1 + 1 + 1 . The Fractional Multiplier . Obtained from unity a ...
Página 42
... integral . The general statement of this important law follows : 61. The product of two or more powers of a given factor is a power whose exponent is the sum of the given exponents of that factor . Oral Drill ( See also page 388 ) Give ...
... integral . The general statement of this important law follows : 61. The product of two or more powers of a given factor is a power whose exponent is the sum of the given exponents of that factor . Oral Drill ( See also page 388 ) Give ...
Página 99
... integral with respect to any etter if that letter does not occur in any denominator . Thus : + m is integral with respect to m , but fractional with respect to x . x + m Х 124. An algebraic expression is rational and integral if it is ...
... integral with respect to any etter if that letter does not occur in any denominator . Thus : + m is integral with respect to m , but fractional with respect to x . x + m Х 124. An algebraic expression is rational and integral if it is ...
Página 100
... integral ex- pressions only . 127. An expression is factored when written in the form of a product . 128. Since factorable expressions result from some com- pleted multiplication , we may repeatedly refer to multiplication as the origin ...
... integral ex- pressions only . 127. An expression is factored when written in the form of a product . 128. Since factorable expressions result from some com- pleted multiplication , we may repeatedly refer to multiplication as the origin ...
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Términos y frases comunes
a²x a²x² a³b algebraic expression arithmetical arithmetical progression ax² binomial cents coefficient consecutive numbers consecutive odd numbers cube decimal difference digits Divide dividend division divisor dollars Exercise exponent feet Find the number Find the sum Find the value formula fraction geometrical progression given equation Hence highest common factor inclosed indicated integral LINEAR EQUATIONS logarithm m²n² m³n mantissa minuend monomial multiplicand Multiply negative number number of terms numbers whose sum Numerical Illustration obtained Oral Drill parenthesis polynomial present age principle quadratic equation quadratic surd quotient radical radicand ratio remainder required number Result second term Simplify smaller number solution square root Substituting Subtract surd three consecutive twice unknown quantity Whence x²y
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 375 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 337 - 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 320 - If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad = be. (1) To Prove - = -. bd Proof. Dividing both members of (1) by bd, ad_bc_ £_£ bd~bd' b~d' In like manner, we may prove - = - ; - = - ; etc.
Página 375 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 158 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Página 323 - In any proportion, the product of the means equals the product of the extremes.
Página 89 - ... 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 369 - 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.