Principles of Arithmetic by Homersham Cox at Bookstore UAE
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Principles of Arithmetic

Principles of Arithmetic


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated.1885 Excerpt: ... to the other in the ratio 3: 7, since 3 obviously contains 3 times the 7th part of 7. Hence in using the symbol 3: 7 (which we read the ratio of 3 to 7) we are comparing all other equal ratios with one special ratio, the ratio of 3 to 7; just as in using the symbol 6 for the number of objects in a group we are comparing the group with one special group containing an equal number of objects, namely, the group 1, 2, 3, 4, 5, 6. The ratio of two numbers such as 72 and 168 can be expressed in a simpler form than 72: 168. For the 7th part of 168 is 24, and 72 is equal to 3 times 24. Hence 72 contains 3 times the 7th part of 168, and 3: 7 is the ratio of 72 to 168. That is to say 3: 7 is equal to 72: 168. In general, when two numbers are both divided or multiplied by the same number, their ratio will be unaltered. If we divide the two numbers by their COM. we can express the ratio in its simplest form as the ratio of two numbers prime to one another. When four numbers are in proportion so that the first is to the second as the third to the fourth, the product of the first and fourth is equal to the product of the second and third. Take the numbers 10, 25,6, 15, where the ratio of 10 to 25 is equal to the ratio of 6 to 15, then the product of 10 and 15 will be equal to the product of 25 and 6. For the ratio of 10 to 25 is equal to the ratio of 15 times 10 to 15 times 25, and the ratio of 6 to 15 is equal to the ratio of 6 times 25 to 15 times 25. The numbers 15 times 10 and 6 times 25 have therefore the same ratio to 15 times 25, and hence they must be equal. The relation between the numbers 10, 25, 6, 15 is often written in the form 10: 25:: 6: 15, and expressed in words thus--ten is to twenty-five as six is to fifteen. The numbers 25, 6 standing in the middle ar..


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Product Details
  • ISBN-13: 9781150694776
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1150694777
  • Publisher Date: 01 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 77 gr


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