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. An Elementary Algebra - Σελίδα 194των Daniel Barnard Hagar - 1873 - 263 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
| 1763 - 1246 σελίδες
...produft of the extremes to be equal to tint of the means ; or, any one of the extremes may be made equal to the product of the means divided by the other extreme s thus, if 11 — fc>— 1 141 i, then [ t equation be multiplied or divided by e lamequamity, it may... | |
| Samuel Webber - 1808 - 466 σελίδες
...square of the mean. Hence it is easily seen, that either extreme of four geometrical propoitiouals is equal to the product of the means divided by the other extreme ; and that either mean is equal to the product of the extremes divided by the other mean. SIMPLE PROPORTION,... | |
| Samuel Webber - 1812 - 260 σελίδες
...square of the mean. Hence it is easily seen, that either extreme of four geometrical proportionals is equal to the product of the means divided by the. other extreme ; and that either mean 'is equal to the product of the extremes divided by the other mean. * DEMONSTRATION.... | |
| Jeremiah Day - 1814 - 304 σελίδες
...be squared. If 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 - 1820 - 352 σελίδες
...product. If a : a; : : 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...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 a : b : : c... | |
| William Enfield (M.A.) - 1821 - 302 σελίδες
...three of which are known, may be easily found ; for if the required term be an extreme, it will be equal to the product of the means divided by the other extreme ; and if it be a mean, it will be equal to the product of the extremes divided by the other mean. if 2 :... | |
| Jeremiah Day - 1827 - 352 σελίδες
...product. If o J *: '.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... | |
| James Ryan - 1827 - 290 σελίδες
...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 - 1832 - 354 σελίδες
...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 a : 6 : : c... | |
| Silas Totten - 1836 - 332 σελίδες
...if three terms be given, the fourth can always be found ; for, if it be one of the extremes, it is equal to the product of the means divided by the other extreme. If the unknown term be a mean, it is equal to the product of the extremes divided by the other mean.... | |
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