 If four quantities are in proportion, they are in proportion by composition ; that is, the sum of the first two . terms is to the second term as the sum of the last two terms is to the fourth term.  First Course in Algebra - Page 287by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1917 - 309 pagesFull view - About this book
 | Webster Wells - Algebra - 1897 - 422 pages
...Whence, b : a = d : c. (§ 309) 312. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Let the proportion be a : b = с... | |
 | Webster Wells - Algebra - 1897 - 384 pages
...Whence, b : a = d : c. (§ 309) 312. In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Let the proportion be a : b = с... | |
 | Webster Wells - Algebra - 1897 - 426 pages
...the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Let the proportion be a : b = с : d. Then, ad = be. Adding each member of the equation... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Let the proportion be a : b = с : d. Then, ad = be. Adding each member of the equation... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 714 pages
...-:-. о ax у г и У и 8. In any proportion, the sum of the first two terms is to the first (or the second) term as the sum of the last two terms is to the third (or the fourth) term. Let a : b = с : d. Then 2 = £. bd Adding 1 to both members, f + 1 = £... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...c. QED PROPOSITION V. THEOREM. 204. In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Let a:b = c:d. To prove a + &:a::c... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...the terms are in proportion by COMPOSITION; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Given the proportion a : b = c: d. (1) To Prove a + 6 : a = c + d:c. Proof. From (1), ad... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...= d: c. (?) PROP. V. THEOREM. 237. In any proportion, the terms are in proportion by COMPOSITION ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term. Given the proportion a : b = c: d.... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...PROPOSITION VI. THEOREM. 332. If four quantities are in proportion, they are in proportion by composition ; that is, the sum of the first two terms is to the...the sum of the last two terms is to the fourth term. Let a : b = c : d. To prove that a + b : b = c + d : d. „ ac Now r = -• I d Then f + i « + i}... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...PROPOSITION VI. THEOREM. 332. If four quantities are in proportion, they are in proportion by composition , that is, the sum of the first two terms is to the...the sum of the last two terms is to the fourth term. Let a : b = c : d. To prove that a + b :b = c + d:d. -KT ac Now - = — • od Then £+i = £+i; oa... | |
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