 | Charles H. Gleason - Arithmetic - 1910 - 536 pages
...6, multiply the two extremes together. Multiply the two means together. What do you observe ? In a proportion the product of the means equals the product of the extremes. ORAL EXERCISES 171. Prove the following proportions, by comparing the products of extremes and means... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1910 - 238 pages
...formula of Exercise 27 find P, if W= 1000 Ib., R = 21 in., I = 15 in., r = 11 in., d = § in. 179. In any proportion the product of the means equals the product of the extremes. For, " = ~, and multiplying both members by bd, ad = be. bd 180. Conversely, If the product of two... | |
 | John Charles Stone, James Franklin Millis - Arithmetic - 1910 - 440 pages
...the above exercises, see whether the product of the means equals the product of the extremes. In any proportion the product of the means equals the product of the extremes. 3. x : 6 = 9 : 12. Find the value of x. Find the missing term: 4. x 5 = 12 : 4. 10. x : 5 = 80 : 10.... | |
 | William Charles Brenke - Algebra - 1910 - 374 pages
...± Vac. Also, с is called the о с third proportional to a and b. 116. Laws of Proportion. 1. In a proportion, the product of the means equals the product of the extremes. 2. If two products, each containing two factors, are equal, either pair of factors may be taken as... | |
 | Charles W. Morey - Arithmetic - 1911 - 454 pages
...The first and the last terms of a proportion are the extremes, and the two middle terms the means. In every proportion the product of the means equals the product of the extremes. Thus, in the proportion 8:4=6:3, the product of the means (4 x 6), 24, equals the product of the extremes... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1911 - 288 pages
...Then in the proportion - = - both members may be multiplied by bd, giving ad = be. Therefore, In any proportion the product of the means equals the product of the extremes. If ps = qr is divided by qs, we obtain Also ps = qr divided by rs gives f_I. (2) rs And qr = ps divided... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 210 pages
...numbers which form the means apply to the same pulley, while the extremes both refer to the other pulley. Then, since the product of the means equals the product of the extremes, we obtain the following simple relation for pulleys belted together: The product of the diameter and... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 210 pages
...which form the means apply to the same pulley, while the extremes both refer to the other pulley. ' Then, since the product of the means equals the product of the extremes, we obtain the following simple relation for pulleys belted together: The product of the diameter and... | |
 | John William Hopkins, Patrick Healy Underwood - Algebra - 1912 - 362 pages
...articles, the fewer the number of articles that can be bought for the given sum of money. 110. In a proportion the product of the means equals the product of the extremes. This may be shown as follows : Let the proportion be a : b = с : d, I-? Multiply Ъу bd, ad = be.... | |
 | George William Myers - Arithmetic - 1912 - 410 pages
...in all parts of problem 3, §150, that make proportions. What seems to be true of the products? In a proportion, the product of the means equals the product of the extremes. 6. Tell which of the following are proportions, by comparing the products of the means and the extremes:... | |
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In any proportion, the product of the means equals the product of the extremes. 
