Elementary Algebra RevisedAmerican book Company, 1913 - 447 páginas |
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Página 10
... obtained here as above , using only the first letters of each element for the general expression . Thus : I = p x rxt . ( c ) Two principles relating to the operation of division in arithmetic may be clearly and briefly expressed by the ...
... obtained here as above , using only the first letters of each element for the general expression . Thus : I = p x rxt . ( c ) Two principles relating to the operation of division in arithmetic may be clearly and briefly expressed by the ...
Página 15
... obtain a clear and logical answer for the question raised above . The minuend remaining the same in each case , the result for each subtraction is established by merely counting off the subtrahend from the minuend , the direction of ...
... obtain a clear and logical answer for the question raised above . The minuend remaining the same in each case , the result for each subtraction is established by merely counting off the subtrahend from the minuend , the direction of ...
Página 25
... obtained , and the work may be considered accurate if both results agree . Illustration : To check the sum of 5a + 7b + 2c and 2a - 3b - 5c , let a = 1 , b = 2 , and c = 1 . and Then Whence , 5a7b2c5 + 14 + 2 = 21 - - - 5 = -9 - 12 . 2 ...
... obtained , and the work may be considered accurate if both results agree . Illustration : To check the sum of 5a + 7b + 2c and 2a - 3b - 5c , let a = 1 , b = 2 , and c = 1 . and Then Whence , 5a7b2c5 + 14 + 2 = 21 - - - 5 = -9 - 12 . 2 ...
Página 30
... obtain : 42. Any number of terms may be inclosed in a + ( ) without changing the signs of the terms inclosed . 43. Any number of terms may be inclosed in a the sign of each term inclosed be changed . Illustrations : - - ( ) provided ...
... obtain : 42. Any number of terms may be inclosed in a + ( ) without changing the signs of the terms inclosed . 43. Any number of terms may be inclosed in a the sign of each term inclosed be changed . Illustrations : - - ( ) provided ...
Página 38
... obtained from unity , for 3 = 1 + 1 + 1 . The Fractional Multiplier . Obtained from unity a multiplier , 2 = 1 +1 +1 +1 +1 . For unity was taken twice as an addend and of unity taken three times as an addend . In like manner , 22 × 5 ...
... obtained from unity , for 3 = 1 + 1 + 1 . The Fractional Multiplier . Obtained from unity a multiplier , 2 = 1 +1 +1 +1 +1 . For unity was taken twice as an addend and of unity taken three times as an addend . In like manner , 22 × 5 ...
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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.