 | 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... | |
 | 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... | |
 | 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 - 436 pages
...(*) T ="1Z , (°) T = "$TS" 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 proportion? Solution of first... | |
 | George William Myers, Sarah Catherine Brooks - Arithmetic - 1907 - 432 pages
...(4)f = ¥/; (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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1907 - 328 pages
...members of the equation bd be multiplied by bd, we have, ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. 2. Show that if - = - , then - = -. bdac Hint. Divide 1 = 1 by the members of the given equation. This... | |
 | 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... | |
 | Frederick Howland Somerville - Algebra - 1908 - 428 pages
...OF PROPORTION 371. Given a : b = с : d. Then ad = be. HMultiplying by bd, ad = be. That is : In any proportion, the product of the means equals the product of the extremes. 372. Given a:b = c:d. Then a = — , 6 = — , etc. d с From the equation ad = ftc we obtain by division... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 520 pages
...members of the equation bd be multiplied by bd, we have, ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. 2. Show that if - = - , then - = -. bd а с Hint. Divide 1 = 1 by the members of the given equation.... | |
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In any proportion, the product of the means equals the product of the extremes. 
