 | Jeremiah Day - Algebra - 1859 - 422 pages
...'.x '. c, then x3=ac, and x= -Jac. (Art. 314.) 383 . It follows, from Art. 383, that in a proportion, either extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean. 1. If... | |
 | Thomas Sherwin - 1862 - 252 pages
...any proportion, either mean is equal to the product of the extremes, divided by the other mean; and either extreme is equal to the product of the means, divided by the other extreme. From this we infer that, If three terms of one proportion are respectively equal to the three corresponding... | |
 | Charles Davies - Arithmetic - 1863 - 346 pages
...proportion, the product of the extremes is equal to the product of the means, it follows that, 1st. Either extreme is equal to the product of the means divided by the other extreme. 2d. Either mean is equal to the product of the extremes divided by the other mean. NOTE. — We shall... | |
 | Edward Brooks - Arithmetic - 1863 - 350 pages
...and ratio, and in the extremes we have the same factors, hence the products are equal. PROP. II. — Either extreme is equal to the product of the means divided by the other extreme. PROP. III. — Either mean is equal to the product of the extremes divided by the other mean. PROP.... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...Hence, 1st. Either mean ù equal to the product of the extremes divided by the other mean. (1) 2d. Either extreme is equal to the product of the means divided by the other extreme. (2) PROPOSITION II. — Conversely : — If the product of two quantities is equal to the product of... | |
 | Stoddard A. Felter - Arithmetic - 1864 - 412 pages
...the means. (c.) Either i&ean is equal to the product of the extremes divided by the other mean. (d.) Either extreme is equal to the product of the means divided by the other extreme. If 9 pounds of coffee cost $3.60, what will 11 Ibs. cost? MODEL OPERATION. Xtxtmne. yon**- Mean. Extreme.... | |
 | Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...Hence, 1st Either mean is equal to the product of the extremes divided by the other mean. (i). 2d. Either extreme is equal to the product of the means divided by the other extreme. (2). PROPOSITION П. . Conversely. If the product of two quantities be equal to the product of two... | |
 | James Pryde - Navigation - 1867 - 506 pages
...-£• 47. If three terms of an analogy or proportion be given, the fourth can always be found ; for either extreme is equal to the product of the means, divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean. Let a : b = c... | |
 | John Fair Stoddard - Arithmetic - 1868 - 428 pages
...Hence, 382. In every proportion, the product of the means is equal to the product of the extremes. 1. Either extreme is equal to the product of the means divided by the other extreme. 2. Either mean is equal to the product of the extremes divided by the other mean. 3. The fourth term... | |
 | John Fair Stoddard - Arithmetic - 1888 - 480 pages
...Hence, 382. In every proportion, the product of the means is equal to the product of the extremes. 1. Either extreme is equal to the product of the means divided by the other extreme. 2. Either mean is eoual to the product of the extremes divided by the other mean. 3. The fourth term... | |
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That is, in any proportion either extreme ' is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean. 
