Elementary Algebra RevisedAmerican book Company, 1913 - 447 páginas |
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Página 12
... coefficient of the product of the other factors . Thus : In 5 a , 5 is the coefficient of a . In ax , a is the coefficient of x , or x is the coefficient of a . In acmx , a is the coefficient of cmx , or ac may be the coefficient of mx ...
... coefficient of the product of the other factors . Thus : In 5 a , 5 is the coefficient of a . In ax , a is the coefficient of x , or x is the coefficient of a . In acmx , a is the coefficient of cmx , or ac may be the coefficient of mx ...
Página 13
Frederick Howland Somerville. Coefficients are the direct results of additions , for 5 a is merely an abbreviation of a + a + a + a + a . 4 xy is an abbreviation of xy + xy + xy + xy . If the coefficient of a quantity is " unity " or " 1 ...
Frederick Howland Somerville. Coefficients are the direct results of additions , for 5 a is merely an abbreviation of a + a + a + a + a . 4 xy is an abbreviation of xy + xy + xy + xy . If the coefficient of a quantity is " unity " or " 1 ...
Página 20
... coefficient , 1 , are understood . 28. Terms not differing excepting as to their numerical coefficients 20 INTRODUCTION . SYMBOLS . NEGATIVE NUMBERS Algebraic Expressions.
... coefficient , 1 , are understood . 28. Terms not differing excepting as to their numerical coefficients 20 INTRODUCTION . SYMBOLS . NEGATIVE NUMBERS Algebraic Expressions.
Página 21
Frederick Howland Somerville. 28. Terms not differing excepting as to their numerical coefficients are like or similar terms . 5 ax and - 3 ax are similar terms . 3 ab and 14 mn are dissimilar terms . 29. The common expressions of ...
Frederick Howland Somerville. 28. Terms not differing excepting as to their numerical coefficients are like or similar terms . 5 ax and - 3 ax are similar terms . 3 ab and 14 mn are dissimilar terms . 29. The common expressions of ...
Página 23
... coefficient of the sum of similar terms having like signs is the sum of the coefficients of the given terms with the common sign . . ( 2 ) The sum of like quantities having different signs , some + and some . ? By Article 24 : +7 + 12 a ...
... coefficient of the sum of similar terms having like signs is the sum of the coefficients of the given terms with the common sign . . ( 2 ) The sum of like quantities having different signs , some + and some . ? By Article 24 : +7 + 12 a ...
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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.