 | John William Hopkins, Patrick Healy Underwood - Algebra - 1904 - 272 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, HMultiply by bd, ad = bc. Example... | |
 | David Eugene Smith - Arithmetic - 1905 - 344 pages
...number of horses. 107. We may simplify the actual work by noticing that, as in simple proportion, In any proportion the product of the means equals the product of the extremes. Hence, in the above example, after reasoning out the form of the proportion, we have simply to write... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...be divided by be, the results will be equal.] (Ax. 3.) QED SCH. 1. We have seen that in the original proportion the product of the means equals the product of the extremes. The test of the correctness of every derived proportion is that when the product of its extremes is... | |
 | Walter Randall Marsh - Algebra - 1905 - 446 pages
...the conditions named above, and hence may form a proportion. PRINCIPLES OF PROPORTION 257. I. In any proportion the product of the means equals the product of the extremes. If f=J, (1) о а multiplying (1) by bd, ad = be. (2) II. If two products are each composed of two... | |
 | Education - 1921 - 970 pages
...63.9/92.3 without simplifying the second fraction? The answer leads to the First Proposition : In any proportion the product of the means equals the product of the extremes. With this as a fundamental proposition I write on the blackboard all the possible proportions that... | |
 | George Clinton Shutts - 1905 - 260 pages
...their measures. j. Compare the ratios of the measures, and apply Case I. Therefore — Model. In a proportion, the product of the means equals the product of the extremes. CASE I. // all the terms are numbers. Let — = — be a proportion in which A, B, C, and D are i>... | |
 | David Eugene Smith - Arithmetic - 1905 - 646 pages
...number of horses. 433. We may simplify the actual work by noticing that, as in simple proportion, In any proportion the product of the means equals the product of the extremes. Hence, in the above example, after reasoning out the form of the proportion, we have simply to write... | |
 | George William Myers, Sarah Catherine Brooks - Arithmetic - 1907 - 432 pages
...= ¥/; (8) f -««• Can you state the principle problems 8 and 9 illustrate? PRINCIPLE. — In a proportion the product of the means equals the product of the extremes. WRITTEN WORK 1. What must x be in each of these expressions to give a pro* portion? Solution of first... | |
 | Charles Hamilton Ashton, Walter Randall Marsh - Algebra - 1907 - 304 pages
...next ratio. Thus, — = - = — is a continued proportion. oca PRINCIPLES OF PROPORTION 83. I. In any proportion the product of the means equals the product of the extremes. H, « multiplying (1) by bd, ad = bc. (2) II. If two products are each composed of two factors, these... | |
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In any proportion, the product of the means equals the product of the extremes. 
