 | Beriah Stevens - Arithmetic - 1822 - 436 pages
...COROLLARIES. 1. Hence, to :m extreme and two means given, the other extreme, or Fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional is 32; for 8X16=128, and 4)128(32; so 4 : 8 : 16 : 32.... | |
 | Daniel Dowling - 1829 - 172 pages
...the extremes, and the second and third the means. Cor. If either of the extremes be required,, it is found by dividing the product of the means by the given extreme. THEOREM II. If there be any number of magnitudes such, that the first is to the second as the third... | |
 | George Peacock - Algebra - 1830 - 732 pages
...proportion may be found by dividing the product of the means by the other extreme ; and either of the means may be found by dividing the product of the extremes by the other mean. m m' w — / * w n' n /w\ \n) (Í)' must consider, in the first place, whether the unknown... | |
 | Thomas H. Palmer - Education - 1840 - 300 pages
...divide by the given mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4: 6=x: 18.... | |
 | Thomas H. Palmer - Education - 1840 - 328 pages
...divide by the given mean, the quotient will be- the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4:6=*:18.... | |
 | Alonzo Potter, George Barrell Emerson - Education - 1842 - 586 pages
...we divide by the given mean, the quotient will be other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, •which x stands for the unknown number: No. 1. 4:6=a;:l8.... | |
 | George Peacock - Algebra - 1842 - 426 pages
...proportion may be found by dividing the product of the means by the other extreme; and either of the means may be found by dividing the product of the extremes by the other mean. menTof the ^^' ^ n or ^ er to arrange the quantities in the question, terms of the in the... | |
 | Alonzo Potter, George Barrell Emerson - Education - 1842 - 588 pages
...by the given mean, the quotient will be the other. In like manner, if one of the extremes be wantig, it can be found by dividing the product of the means by le given extreme. Thus, in the two following proportions, a which x stands for the unknown number :... | |
 | Alonzo Potter - Education - 1843 - 578 pages
...divide by the given mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number: No. 1. 4: 6=a;: 18.... | |
 | Alonzo Potter - Education - 1843 - 300 pages
...divide by the given mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4: 6=o;:... | |
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From the above, it follows that whenever an extreme in a proportion is wanting, it can be found by dividing the product of the means by the given extreme ; and whenever a mean is wanting, it may be found by dividing the product of the extremes by the... 
