Workshop Mathematics Volume 1

Workshop Mathematics Volume 1

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 edition. Excerpt: ... the quantities by the number of quantities. Ratio.--The relation between two quantities of the same kind, or the quotient obtained by dividing one by the other, is called a Ratio. Hence the ratio of 3 to 9 = = Proportion is the equality of two ratios. The four numbers 3, 4, 15 and 20 form a proportion, or the ratio of the first two is equal to the ratio of the last two terms, .-. f = iiF, or 3: 4:: 15:20. When three terms are known the fourth can be found. The product of the means, or 4 x 15, is equal to the product of the extremes, or 3 x 20. Mean Proportional.--When three quantities are in proportion and the second and third terms are equal, each is said to be a mean proportional to the other two. Third Proportional.--When the ratio of the first term to the second is the same as the second to the third, the latter is called a third proportional to the other two. Means.--The geometrical mean of two numbers is the square root of their product; the arithmetical mean is half the sum of the numbers. Percentage.--By percentage is simply meant a fraction having 100 for its denominator. CHAPTER VII. ALGEBRA. EXPLANATION OF SYMBOLS. SUBSTITUTIONS. ADDITION. SUBTRACTION. Explanation of Symbols.--In dealing with numbers, or digits, as the numerals 1, 2, 3... are called, accurate results are obtained whatever be the unit employed. Thus, the digit 7 may refer to 7 shillings, ounces, yards, or other units. In adding two digits, such as 7 and 5, together, we obtain the sum 12, whatever the unit employed may be. The signs already made use of in Arithmetic are also employed in Algebra, but in Algebra representations of quantities are utilised which have a further generality. Both letters and figures are used as symbols for numbers or quantities. more

Product details

  • Paperback | 38 pages
  • 189 x 246 x 2mm | 86g
  • United States
  • English
  • black & white illustrations
  • 1236976282
  • 9781236976284