 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.  A Text-book of Geometry - Page 128by George Albert Wentworth - 1893 - 437 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...quantities are in proportion, they are in proportion by composition, ie 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. Hyp. a : b = c : d. To prove a + b : b = c + d : d. Proof. - = -• bd 2 + !... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...quantities are in proportion, they are in proportion by composition, ie 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. Hyp. a : 6 = c : d. To prove a+b:b = c + d:d. Proof. bd (Ax. 2.) or — ! —... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...quantities are in proportion, they are in proportion by composition, ie the sum ofthefirst two terms is to the second term as the sum of the last two terms is to the fourth term. Hyp. a : 6 = c : d. To prove a + 6 :b = c + d : d. (Ax. 2.) or — — = —... | |
 | Education - 1902 - 880 pages
...divergent series, combinations, reciprocal equations, derived polynomial. 2 Prove by a general method that if four quantities are in proportion, they will be in proportion by (a) inversion, (6) composition, (c) alternation. 3 Solve as a quadratic 3x*+15x+l — 2 V-r2+5.r+l=3... | |
 | Middlesex Alfred Bailey - Algebra - 1902 - 336 pages
...equality of two fractions. See p. 214. PROPOSITION LXXXI. THEOREM In any proportion, the terms are in proportion by composition ; that is, the sum of the first two is to the first or second as the sum of the last two is to the corresponding term. Let a : b : : с... | |
 | Education - 1902 - 780 pages
...divergent series, combinations, reciprocal equations, derived polynomial. 2 Prove by a general method that if four quantities are in proportion, they will be in proportion by (a) inversion, (b) composition, (c) alternation. 3 Solve as a quadratic 3x*+l5x+l—2 ^j 4 Given log... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...a — d : C. (WhyV) QEB PROPOSITION VI. THEOREM 309. 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 last term. Given the proportion a... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...by ao. 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 is to the second term as the sum of the last two terms is to the fourth term. Let a : b = c : d. To... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...b:a = d:C. ______ _ Q, E, PROPOSITION VI. THEOREM 309* 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 last. term. Given the proportion a... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...= d : c. (Whyt) QE ». PROPOSITION VI. THEOREM 309. If four quantities are in proportion, they are in Proportion by composition ; that is, the sum of the first two ^rms is to the second term as the sum of the last two terms is to the last term. Given the proportion... | |
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