 | Jeremiah Day - Algebra - 1814 - 304 pages
...a:b::b:c. then mult, extremes and means, ac=b2. 377. It follows from art. 374, that in a proportion, either extreme is equal to the product of the means, divided by ihe other fxtrcme ; and either of the means is equal to the, product of the extremes, divided by the... | |
 | Jeremiah Day - Algebra - 1820 - 352 pages
...a; : c, then xs =ac, and x = Vac. (Art. 297.) 377. It follows, from art. 374, 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... | |
 | James Ryan - Arithmetic - 1827 - 290 pages
...to the product of the means. This immediately follows from what has been last demonstrated : since either extreme is equal to the product of the means divided by the other extreme ; for instance, 5 : 7 : : 10 : 14. But we have seen that 14 is equal to the quotient arising from dividing... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...*: '.x : c, then x3=ac, and x=\/^. (Art. 297.) 377. It follows, from art. 374, that in a proportion, either extreme is equal to the product of the means, divided by the otaer extreme ; and either of the means is equal to the product of the extremes, divided by the other... | |
 | Jeremiah Day - Algebra - 1832 - 354 pages
...c, then x'=ac, and x= \/ac. (Art. 297.) 377. It follows, from Art. 374, that hi a proportion, cither 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 - Algebra - 1842 - 326 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 it follows, that, If three terms of one proportion are respectively equal to the three corresponding... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...: x : c, then a;2=ac, and x=/ ac. (Art. 249.) 341. It follows, from Art. 338, 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... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...x : c, then x'2=ac, and £=/ ac. (Art. 249.) 341. It follows, from Art. 338, 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... | |
 | 1855 - 424 pages
...»quart root of their product. If a : x : : x : c, then .>:- = ac, and x = у' ас. 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 - Algebra - 1855 - 262 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... | |
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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. 
