 | Walter Randall Marsh - 1905 - 446 σελίδες
...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 - 1905 - 344 σελίδες
...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... | |
 | George Clinton Shutts - 1905 - 260 σελίδες
...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>... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1907 - 328 σελίδες
...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 - 1907 - 304 σελίδες
...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... | |
 | George William Myers, Sarah Catherine Brooks - 1907 - 436 σελίδες
...="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 - 1907 - 432 σελίδες
...= ¥/; (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... | |
 | Frederick Howland Somerville - 1908 - 428 σελίδες
...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... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - 1908 - 460 σελίδες
...1. A proportion is an equation and therefore subject to the laws of equations. Sec. 404. 2. In any proportion the product of the means equals the product of the extremes. Sec. 405. 3. If the product of two numbers equals the product of two other numbers, the four numbers... | |
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In every proportion the product of the means equals the product of the extremes. 
