 | John Groesbeck - 1872 - 374 pages
...10 to 20. The first and fourth terms are called the extremes; (he second and third, the means. 85. In every proportion the product of the means equals the product of the extremes. From this principle, having three terms of a proportion, we are ei.abled to find the fourth. SIMPLE... | |
 | George Augustus Walton - Arithmetic - 1873 - 348 pages
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is sometimes enunciated thus : " In any proportion the product of the means equals the product of the extremes," which is not true when the terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $... | |
 | Robert Griffith Hatfield - Architecture - 1874 - 452 pages
...and B. That is, ab is to bd as J (Z is to b o. This is usually stated thus — a b"*bb::bd".bc, and since the product of the means equals the product of the extremes, therefore, ab xb c = bd*. This is shown geometrically at Art. 105. CONIC SECTIONS. 111. — If a cone,... | |
 | Edward Brooks - Arithmetic - 1874 - 352 pages
...Compound Proportion is the comparison of compound ratios. PRINCIPLES OP PROPORTION. PROP. I. — In evert/ proportion the product of the means equals the product of the extremes. DEM. — In the prijportion 2 : 6 : : 4 : 12 we have j = i*y; now if we multiply both these equals... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 462 pages
...the product of the means, must be equal to the numerator of the second, which is the product of the extremes ; or, 15 x 4 = 20 x 3. Hence, I. In every...product of the means equals the product of the extremes. igain, take any three terms in proportion, as 4 : 0=0 : 9 Then, since the product of the means equals... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...of the means, must be equal to the numerator of the second, which is the product of the aitremes ; or, 15 X 4 = 20 X 3. Hence, I. In every proportion...product of the means equals the product of the extremes. ^gain,vtake any three terms in proportion, as 4 : 6=6 : 9 Then, since the product of the means equals... | |
 | Edward Brooks - Arithmetic - 1877 - 232 pages
...to a proportion. They enable us to find any one term when the other three are given. PRINCIPLES. 1. In every proportion the product of the means equals the product of the extremes. In any proportion, as 6 : 3 : : 8 : 4, we have f = £, and multiplying these equals by 4 and 3 we have... | |
 | Albert Newton Raub - Arithmetic - 1877 - 348 pages
...by 2 and 3, the denominators, the equation becomes 2x12 = 3x8; hence, the following Principles : 1. In every proportion the product of the means equals the product of the extremes. 2. The product of the means divided by either extreme will give the other extreme. 3. The product of... | |
 | Edward Brooks - Arithmetic - 1877 - 528 pages
...ratios. A proportion is therefore a comparison of the results of two previous comparisons. PRINCIPLES. 1. In every proportion the product of the means equals the product of the extremes. Take any proportion, as 6 : 3 : : 8 : 4. Then we have f = f, and multiplying these equals by 4 and... | |
 | Edward Brooks - Arithmetic - 1877 - 438 pages
...to a proportion. They enable us to find any one term when the other three are given. PRINCIPLES. 1. In every proportion the product of the means equals the product of the extremes. In any proportion, as 6 : 3 : : 8 : 4, we have f = f, and multiplying these equals by 4 and 3, we have... | |
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In any proportion, the product of the means equals the product of the extremes. 
