 | Webster Wells - Algebra - 1897 - 426 pages
...— d : d. 314. 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 the proportion be a : b = с : d. Then by § 312, ÍL+Ь = £±A... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...— - — = — — » 6 d Or, a — b :b — c — d:d. 285. V. 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. Given, a : b = с : d. By composition (Art. 283), d By division (Art.... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 714 pages
...two proportions are said to be derived from the given proportion by Division. 10. In any proportion, 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. By Art. 8, a + b:b = c + d:d; and by Art. 9, «a... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...THEOREM. 239. 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. Given the proportion a:b = c:d, (1) in which a > b and c > d. To Prove... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...proportions are said to be derived from the given proportion by Division. 10. In any proportion, the mm of the first two terms is to their difference as the sum of the last two terms is to their difference. Let a : b = c : d. By Art 8, a + b: b = c + d: d; and by Art. 9, a —... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...said to be derived from the given proportion by Division. 10. In any proportion, the sum of theßrst two terms is to their difference as the sum of the last two terms is to their difference. Let a : b = с : d. By Art. 8, a + b: b = c + d:d; and by Art. 9, a —... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...If four quantities are in proportion, they 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 = c: d. Then a ±j , = c ± d . ac And ?LzJ = £nA §333 ac... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...THEOREM. 239. 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. Given the proportion a:b = c:d, (1) in which a > b and c > d. To Prove... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...If four quantities are in proportion, they 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 = c : d. Then = J . And -. = -=. §3 33 ac a + b _ r + d a... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...THEOREM. 239. 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. Given the proportion a : b = c : d, . (1) in which a > b and c > d. To... | |
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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. 
