Elementary Algebra Revised

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American book Company, 1913 - Algebra - 447 pages
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Page 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.
Page 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.
Page 375 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 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.
Page 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.
Page 375 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 158 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Page 323 - In any proportion, the product of the means equals the product of the extremes.
Page 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.
Page 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.

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