Elementary Algebra RevisedAmerican book Company, 1913 - 447 páginas |
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Página 8
... Positive 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 ...
... Positive 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 ...
Página 15
... positive and negative numbers established from a given point which we may call " zero . " With this extended number ... positive number from a greater positive number gives a positive result . Or , 5-4 = 1 . For ( 2 ) The subtraction of ...
... positive and negative numbers established from a given point which we may call " zero . " With this extended number ... positive number from a greater positive number gives a positive result . Or , 5-4 = 1 . For ( 2 ) The subtraction of ...
Página 16
... POSITIVE AND NEGATIVE NUMBERS COMBINED The simplest combination of algebraic numbers is addition , and since two groups of opposite kinds result from the positive and negative qualities , we must consider an elementary dis- cussion of ...
... POSITIVE AND NEGATIVE NUMBERS COMBINED The simplest combination of algebraic numbers is addition , and since two groups of opposite kinds result from the positive and negative qualities , we must consider an elementary dis- cussion of ...
Página 17
... positive and b negative : ( + α ) + ( -b ) = + a − b . Numerical Illustration : ( +5 ) + ( - 8 ) = + 5-8 = + 2 . ( 4 ) If a is negative and b positive : ( − a ) + ( + b ) = − a + b . - Numerical Illustration : ( − 5 ) + ( + 3 ) ...
... positive and b negative : ( + α ) + ( -b ) = + a − b . Numerical Illustration : ( +5 ) + ( - 8 ) = + 5-8 = + 2 . ( 4 ) If a is negative and b positive : ( − a ) + ( + b ) = − a + b . - Numerical Illustration : ( − 5 ) + ( + 3 ) ...
Página 18
... positive group is the greater , but negative if the number of units in the negative group is the greater . From Art . 24 we derive the following important principle : 25. The sum of two units of the same absolute value but oppo- site in ...
... positive group is the greater , but negative if the number of units in the negative group is the greater . From Art . 24 we derive the following important principle : 25. The sum of two units of the same absolute value but oppo- site in ...
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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.