 | 1838 - 372 σελίδες
...and by clearing the equation of fractions, we have BC=AD; that is, of four proportional quantities, the product of the two extremes is equal to the product of the two means. 179. If four quantities, A, B, C, and D, are so related to each other that AxD=B*C,... | |
 | Frederick Emerson - 1839 - 300 σελίδες
...the product of the means. Furthermore, in any series of continual proportionals, the product of the extremes is equal to the product of any two terms equally distant from them; and equal to the second power of the middle term, when there is an uneven number of terms. For... | |
 | Richard W. Green - 1839 - 156 σελίδες
...numerator. These were the two means. And hence we learn, that if four quantities are proportional, the product of the two extremes is equal to the product of the means. , §115. Therefore, whenever in our operations we find a proportion, we can easily reduce... | |
 | Charles Davies - 1839 - 272 σελίδες
...and by clearing the equation of fractions, we have BC=AD. That is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means. * This general principle is apparent in the proportion between the numbers 2 : 10 :... | |
 | George Leonard - 1841 - 354 σελίδες
...fractions when changed to a common denominator, always have equal numerators ? Therefore in a proportion, The product of the two extremes is equal to the product of the two means. So if we divide the product of the two means by one extreme, the quotient will be the... | |
 | George Leonard (jr.) - 1841 - 352 σελίδες
...fractions when changed to a common denominator, always hare equal numerators ? Therefore in a proportion, The product of the two extremes is equal to the product of the two means. So if we divide the product of the two means by one eztrems, the quotient will be the... | |
 | George Leonard - 1841 - 356 σελίδες
...fractions when changed to a common denominator, always have equal numerators ? Therefore in a proportion, The product of the two extremes is equal to the product of the two means. So if we divide the product of the two means by one extreme, the quotient will be the... | |
 | Charles Davies - 1842 - 368 σελίδες
...and by clearing the equation of fractions, we have BC=AD; that is, of four proportional quantities, the product of the two extremes is equal to the product of the two means. 179. If four quantities, A, B, C, and D, are so related to each other that we shall... | |
 | Charles Davies - 1842 - 284 σελίδες
...and by clearing the equation of fractions, we have BC=AD. That is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means. This general principle is apparent in the proportion between the numbers 2 : 10 : :... | |
 | mrs. Henry Ayres - 1843 - 470 σελίδες
...properties in this rule as in the last. In the following geometrical series, 2, 4, 8, 16, 32, 64, 128. The product of the two extremes is equal to the product of any two means equally distant from the extremes, — for 128 X 2 =256, and 64 X 4 = 256, that is the case with... | |
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In any continued geometrical progression, the product of the two extremes is equal to the product of any two means... 
