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" In any proportion, the product of the means equals the product of the extremes. "
The New Normal Written Arithmetic: Designed for Common Schools, Normal ... - Σελίδα 293
των Edward Brooks - 1877 - 421 σελίδες
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905
...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>...

Advanced Arithmetic

David Eugene Smith - 1905 - 312 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...

Elementary Algebra

Walter Randall Marsh - 1905 - 395 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...

The Elements of Geometry

Walter Nelson Bush, John Bernard Clarke - 1905 - 355 σελίδες
...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...

Practical Arithmetic

David Eugene Smith - 1905 - 546 σελίδες
...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...

First-year Mathematics for Secondary Schools

George William Myers, William Rockwell Wickes, Ernst Rudolph Breslich, Harris Franklin MacNeish, Ernest August Wreidt - 1906 - 181 σελίδες
...the first and fourth numbers is equal to the product of the second and third ? PRINCIPLE. — In any proportion the product of the means equals the product of the extremes. This is a convenient test of proportionality. 22. By this test tell what expressions in problem 21...

College Algebra

Charles Hamilton Ashton, Walter Randall Marsh - 1907 - 279 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...

Myers Arithmetic: Grammar School

George William Myers - 1907 - 470 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...

High School Algebra: Elementary Course

Herbert Ellsworth Slaught, Nels Johann Lennes - 1907 - 297 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...

Myers-Brooks Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - 1907 - 369 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...




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