Call's Short-Hand Self-Instructor, and Practical Arithmetic

Call's Short-Hand Self-Instructor, and Practical Arithmetic

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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. 1861 edition. Excerpt: ...of the others as unity is the same as the square of 1. Then by taking the figures as representatives of the parts of 1 we may see the square cut into many parts, etc., and by multiplying units of one of the kinds by units of the other as units we can see the product of two different-sized units and the relation between the two, as shown on the above-named pages. For an example on the above we will multiply 1 yard of cloth by 1 bushel of wheat. lyd1bu.:1, but is neither a yard nor a bushel, the relation being as 1 to 2,5, or as 2 to 5, or as 4 to 10; then T4, is the relation, which is T4, -, of a yard as the unit or ',0 ofabushel as the unit. ' Then any number of yards and parts multiplied by any number of bushels and parts is performed the same as 7,75yds.7,75 bu.:60,0625-: -,4: l50, l56?;bu. of wheat, or 60,0625,4: '74,025yds. By the above we see the same as 1yd..2,5 bu.; then 1X2,5:2,5: =-,5 or % ofthe square of 2,5 or of the square of 1. By illustrating this by a diagram we can see the square of each unit, the less in the greater, also the product of the two units of different sizes; the product of the two will be the whole length of the larger diagram and only a part of its Width. By this a general principle is shown for the multiplication of all different kinds of units and parts of all things of value or capacity. Whatever explains ll of any different kinds of units will not fail where any parts and parts of parts are used. When the figures are alike in the factors, by giving different names they may be as unlike in their representation as the names given make them; also, the figures may be unlike and still be equal: all of which depends on the names given to them. Squares. Any perfect Square may be considered the square of...show more

Product details

  • Paperback | 40 pages
  • 189 x 246 x 2mm | 91g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236852974
  • 9781236852977