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" For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means. "
New Elementary Algebra - Page 116
by B. Greenleaf - 1880
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 5

Perry Fairfax Nursey - Industrial arts - 1826 - 476 pages
...Rule vi. ought to have stood thus : — " A proportion tnây be converted into an equation by making the product of the extremes equal to the product of the means." This rule is moreover unintelligible to the learner, as the terms extremes and means have never been...
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Mechanics' Magazine, Volume 5

Technology - 1826 - 478 pages
...70, Rule vi. ought to have stood thus : — "A proportion may be converted into an equation by making the product of the extremes equal to the product of the means." This rule is moreover unintelligible to the learner, as the terms extremes and means have never been...
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Mechanics Magazine, Volume 5

Industrial arts - 1826 - 490 pages
...70, Rule vi. ought to have stood thus: — "A proportion may be converted into an equation by making the product of the extremes equal to the product of the means." This rule is moreover unintelligible to the learner, as the terms extremes and means have never been...
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An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ...

James Ryan - Arithmetic - 1827 - 290 pages
...do you find the fourth ? What two terms of an analogy are called the extremes! what the means ? Is the product of the extremes equal to the product- of the means ? CHAPTER V. FRACTIONS. On the JVatttre of Fractions. c..i. If we divide any one whole thing, a foot,...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...called? 7. What are the first and last terms of an analogy called? and what the other two terms? 8- Is the product of the extremes equal to the product of the means? 9. How may either of the extremes be found when the other extreme and the two mean terms are given?...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...What is inverse or reciprocal proportion ? When is the sum of the extremes double the mean ? When is the product of the extremes equal to the product of the means? How is a mean proportional between two quantities found ? What six changes can be made in a proportion...
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A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - Arithmetic - 1845 - 310 pages
...left to represent it. When found, the four terms above would be a. perfect geometrical proportion, and the product of the extremes equal to the product of the means. In this example, the product of the means is perfect; which product, divided by the factors in the...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...either A, or r, or C. Hence, to convert a proportion into an equation, we have the following RULE. Place the product of the extremes equal to the product of the means. (Art. 42.) The relation between two quantities is not changed by multiplying or dividing both of them...
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A Theoretical and Practical Treatise on Algebra ...

Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...either A, or r, or C. Hence, to convert a proportion into an equation, we have the following RULE. Place the product of the extremes equal to the product of the means. (Art. 42.) The relation between two quantities is not changed by multiplying or dividing both of them...
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The Western Practical Arithmetic ...: Containing a Great Variety of ...

Arithmetic - 1851 - 260 pages
...left to represent it. When found, the four terms above would be a perfect Geometrical proportion, and the product of the extremes equal to the product of the means. In this example, the product of the means is perfect j which product, divided by the factors in the...
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