 | Mathematics - 1801 - 446 pages
...A : B : : B : C, therefore A C—& X B=B1. Q ED divided by the other extreme ; and that either mean is equal to the product of the extremes divided by the other SIMPLE PROPORTION, OR RULE OF | THREE; Tie Rule of three is that, by which' a number is found, having... | |
 | George Washington Hull - Geometry - 1807 - 408 pages
...divided by the other extreme. If a:b= c: d, ad=bc. §119 Whence a = -£-. QED a COR. — Either mean is equal to the product of the extremes divided by the other mean. PROPOSITION IV. THEOREM. 122. A. mean proportional between two quantities is equal to the square root... | |
 | Samuel Webber - Mathematics - 1808 - 466 pages
...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, 0R RULE OF THREE. The Rule of Three is that, by which a number is found, having... | |
 | Samuel Webber - Arithmetic - 1812 - 246 pages
...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. * DE 札 oNsTRATIoN ・ Letlhe ぬ urahth 山 eticalpropo ㎡ onalB be イ ， 乃 ， C ， D ) 世... | |
 | Jeremiah Day - Algebra - 1814 - 304 pages
...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 other mean. 1. If a:b::c:d, then ad=bc be 2. Dividing by d, a =-7 ad 3. Dividing the first by c, 6= — ad 4. Dividmg... | |
 | William Enfield (M.A.) - Amusements - 1821 - 302 pages
...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 : 4 :: 3 : * Zx=4 x 3 (15) Then 4x3 *=-2-=6 If 2 : y : : 3 : 6 1 x 6 = 3y (15) Then < 2 x 6 Two... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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 mean. 1. If a : b'.'.c : d, then ad=bc 2. Dividing by <J, a=-r a 3. Dividing the first by c, b=— c 4. Dividing... | |
 | Silas Totten - Algebra - 1836 - 320 pages
...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. This principle is the foundation of what is termed, in arithmetic, the Rule of Three.* Suppose it be... | |
 | Jeremiah Day - Algebra - 1841 - 362 pages
...proportion, eithei 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 mean1. If a : b : : c : d, then ad=be 2. Dividing by d, a— •4 a 3. Dividing the first by c, b=—... | |
 | Thomas Sherwin - Algebra - 1841 - 320 pages
...be , ad , ad a — — , o = — , and c = — . Therefore, aco • In any proportion, either mean is equal to the product of the extremes, divided by the other mean ; and either extreme i* equal to the product of the means, divided by the other extreme. From this... | |
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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. 
