 | Benjamin Peirce - Algebra - 1870 - 302 pages
...— nB:mC — nD and A + B : A — B — Cj- D : C— D mA-\-nB:mA — nB = m C -\- nD : m C— nD ; that is, the sum of the first two terms of a proportion...difference, as the sum of the last two is to their dif" ference. Moreover, in finding these sums and differences, both the antecedents may be multiplied... | |
 | Benjamin Peirce - 1870 - 200 pages
...first two terms is to the difference of the last two in tht same ratio ; also the sum of the Jirst two terms is to their difference as the sum of the last two is to their difference. Proof. The proportion A: C = B : D; from which we obtain, by the preceding propositions, A-}-B:C-\-D... | |
 | Benjamin Peirce - Geometry - 1873 - 202 pages
...the difference o> the first two terms is to the difference of the last two in th» same ratio ; also the sum of the first two terms is to their difference as the sum of the laft two is to their difference Proof. The proportion • A : C = B : D ; from which we obtain, by... | |
 | Richard Wormell - 1876 - 268 pages
...the difference of the first two terms is to the difference of the last two in the same ratio ; also the sum of the first two terms is to their difference...as the sum of the last two is to their difference. Proof. — The proportion A: B = C : D gives, by transposing the means, A : C = B : D ; from which... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...B : A -B = 0+ D : C- D. Comparing this with the given proportion, we learn that In any proportion, the sum of the first two terms is to their difference...as the sum of the last two is to their difference. Apply this principle to the proportion 9:6 = 3:2, and test the result. 201. From two given proportions... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1882 - 322 pages
...this with the given proportion, we learn that In any proportion, the sum of the first two terms is tu their difference as the sum of the last two is to their difference. Apply this principle to the proportion 9:6 = 3:2, and test the result. 201. From two given proportions... | |
 | Webster Wells - 1885 - 368 pages
...— d:d. 301. In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference. Let a : b = с : d. Then, by Art. 299, - = (1) a с And, by Art. 300,... | |
 | Webster Wells - Algebra - 1885 - 372 pages
...— d:d. 301. In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference. Let a : b = с : d. Then, by Art. 299, = (1) a с And, by Art. 300, £=±... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...c — d:d. 301. In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference. Let a : b — с : d. Then, by Art. 299, = m а с And, by Art. 300,... | |
 | Webster Wells - Algebra - 1885 - 324 pages
...— d: d. 301. In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the Zosi two terms is to their difference. Let a : b = с : d. Then, by Art. 299, = . (1) And, by Art.... | |
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In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference. 
