 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.  The Elements of Geometry - Page 122by Webster Wells - 1894 - 378 pagesFull view - About this book
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...Then ac Or b : a = d : c. 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 second term as the sum of the last two terms is to the fourth term. Let a : b = c : d. To prove that... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...equation by ac. Then bd ac 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 second term as the sum of the last two terms is to the fourth term. Let a: b = c : d. To prove that... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...equation by ac. Then - = -• ac 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 ,s to the second term as the sum of the last two terms is to the fourth term. Let a: b = c: d. To prove... | |
 | George Egbert Fisher - Algebra - 1899 - 506 pages
...-:-. oaxyzu yu 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 : 6 = c : d. Then ^ = °bd Adding 1 to both members, - + 1 = - + 1, 6 d... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...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. Let a : b = c : d. To prove that a + b :b = c + d:d. -KT ac Now - = — • od Then £+i... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...THEOREM. 238. In any proportion, the terms are in proportion by DIVISION ; that is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Given the proportion a : b = c : d, (1) in which... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...THEOREM. 238. In any proportion, the terms are in proportion by DIVISION ; that is, the difference of the first two terms is to the first term as the difference of the last two terms is to the third term. Given the proportion a:b = c:d, (1) in which... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...bax у zu у и 13. 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, - + 1 = - + 1,... | |
 | James Harrington Boyd - Algebra - 1901 - 818 pages
...numbers or by other numbers of the same kind, the alternation may take place. 490. THEOREM VI. — In any proportion, the terms are in proportion by...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. Let the proportion be fc By adding... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...numbers or by other numbers of the same kind, the alternation may take place. 490. THEOREM VI. — In any proportion, the terms are in proportion by...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. Let the proportion be - = - •... | |
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