 | Benjamin Peirce - Literary Criticism - 1837 - 300 pages
...Corollary. If A, B, C, D form a proportion, we obtain from the preceding test A : C=B :D B : A = D : C B:D = C:A D : C = B : A, &c. ; that is, the terms of a proportion...first terms of a proportion respectively 2a62, 3 a2 b, 6b3; find the fourth. Ans. 9a62. 3. Given the three first terms of a proportion respectively am, a",... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...and the quotient is the required extreme. When the required term is a mean, divide the product of ihe extremes by the given mean, and the quotient is the...first terms of a proportion respectively 2a62, 3 a2 6, 6bz ; find the fourth. -4ns. Qab2. 3. Given the three first terms of a proportion respectively a™,... | |
 | Benjamin Peirce - Algebra - 1851 - 294 pages
...A : C = B : D B : A = D : C B:D = A :C D:C= B:A, &c.; To find the Fourth Term of a Proportion. 88. Problem. Given three terms of a proportion, to find...given mean, and the quotient is the required mean. 89. EXAMPLES. 3, ' 1. Given the three first terms of a proportion respectively A, B, C; find the fourth.... | |
 | Benjamin Osgood Peirce - Algebra - 1855 - 308 pages
...which is consistent with the application of the test. To find the Fourth Term of a Proportion. 88. Problem. Given three terms of a proportion, to find...given 'mean, and the quotient is the required mean. 89. EXAMPLES. 1. Given the three first terms of a proportion respectively rtr* A,B,C, find the fourth.... | |
 | Cadmus Marcellus Wilcox - Rifle practice - 1859 - 308 pages
...means by the known extreme, the quotient will be the other extreme that we seek. If the fourth unknown term is a mean, divide the product of the extremes by the other, or known mean. In a proportion of this form, 16 : 8 : : 8 : 4, the term 8 is a geometric mean... | |
 | Horatio Nelson Robinson - 1859 - 348 pages
...term be an extreme, divide the product of the means by the given extreme ; if the required farm be a mean, divide the product of the extremes by the given mean. NOTES. 1. If the terms of any couplet be of different denominations, they must be reduced to the same... | |
 | George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...RULES. — I. To find an extreme, divide the product of the means by the given extreme. II. To find a mean, divide the product of the extremes by the given mean. 452. What is Proportion ? — 453. In how many ways la proportion expressed ? Describe them. — 454.... | |
 | Daniel W. Fish - Arithmetic - 1874 - 300 pages
...term be an extreme, divide the product of the means by the given extreme ; if the required term be a mean, divide the product of the extremes by the given mean. To shorten the operation, equal factors in the first and second, or in the first and third terms may... | |
 | George Payn Quackenbos - Arithmetic - 1874 - 444 pages
...RULES. — /. To find an extreme, divide the product of the means by the given extreme. II. To find a mean, divide the product of the extremes by the given mean. 602. EXERCISE IN PROPORTION. 1. Form a proportion with 6 : 9 for its 1st couplet. 2. Form a proportion... | |
 | Daniel W. Fish - Arithmetic - 1874 - 302 pages
...term be an extreme, divide the product of the means by the given extreme ; if the required term be a mean, divide the product of the extremes by the given mean. To shorten the operation, equal factors in the first and second, or in the first and third terms may... | |
| |
Arrange the terms in the statement so that the causes shall compose one couplet, and the effects the other, putting ( ) in the place of the required term. II. If the required term be an extreme, divide the product of the means by the given extreme ; if... 
