| Mathematics - 1801
...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 - 398 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... | |
| Mathematics - 1808
...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 - 248 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 - 303 pages
...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 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... | |
| Jeremiah Day - Algebra - 1820 - 332 pages
...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...divided by the other mean. 1 . If a : b : : c : d, then** <td=bc be 2. Dividing by d, a==~d ad 3. Dividing the first by c, ~/T a* .1. Dividing it by 6, C—~A~... | |
| William Enfield (M.A.) - Scientific recreations - 1821 - 276 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 - 332 pages
...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...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... | |
| Jeremiah Day - Algebra - 1831 - 332 pages
...their product. If a : x :: x : c, then x2=ac, and x=\fac. (Art. 297.) 377. It follows, from Art. 374, **that in a proportion, either extreme is equal to the...1. If a : b :: c : d, then ad=bc 2. Dividing by d,** a=— d 3. Dividing the first by c, b=— c 4. Dividing it by 6, c= — b 5. Dividing it by a, d——;... | |
| Jeremiah Day - 1832
...their product. If a : x : : x : c, then x*=ac, and x=\fac. (Art. 297.) 377. It follows, from Art. 374, **that in a proportion, either extreme is equal to the...the other mean. 1. If a : b : : c : d, then ad=bc** be 2. Dividing by d, a= — d , • 3. Dividing the first by c, 6= — C 4. Dividing it by b, c—... | |
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