 | 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... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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?... | |
 | 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... | |
 | 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... | |
 | Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...same (by hypothesis) as between A and B. Hence D=rC. Then in place of A: B:: C:D we have A:rA::C: rC. Multiply the extreme terms, and we have rCA. Multiply...dividing both of them by the same quantity. Thus, a:b::2a:2b, or more generally, a:b::na:nb, for the product of the extremes is obviously equal to the... | |
 | 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... | |
 | David Henry Cruttenden - Arithmetic - 1853 - 330 pages
...quotient, or ratio, of the first and second equal to the quotient, or ratio, of the third and fourth ; or, the product of the extremes equal to the product of the means. 12. What proportions are the same as 12 : 7=60 : 35? Ans. 1 : 7 :: 5 : 35, or 12 : 1 = 60 : 5, 1 :... | |
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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. 
