 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...proportion, they are in proportion by composition and division ; that is, the sum of the first two is to their difference as the sum of the last two is to their difference. Given the proportion, a : b — c : d. To prove a + 6 : a — b = c-{- d : e — d. Proof. a : 6 =... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...in proportion, they are in proportion by composition and division; that is, the sum of the first two is to their difference as the sum of the last two is to their difference. Given the proportion a : b = c : d. To prove a + I : a — ~b = c < -\- d : c — d. Proof. a : J)... | |
 | John Charles Stone, James Franklin Millis - Algebra - 1905 - 776 pages
...process is division. 202. The terms of a proportion are in proportion by tion and subtraction ; ie, the sum of the first two terms is to their difference as the sum of the last two terms is to their difference. §200. §201. Axiom 4. This and the preceding sections will enable us... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 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. HYPOTHESIS. a:b = c:d. CONCLUSION. a + b:ab = c + d:cd. PROOF a + b _c... | |
 | Webster Wells - Algebra - 1906 - 550 pages
...— d:d. 339. 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. Then by § 337, 2-±Ь = <L±*. (1) а с And by § 338, 2-H^ = £^.... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...— d: d. 339. 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. Then by § 337, 2-±& = <L+JÍ. (1) СЬ С And by § 338, ?—£ = !=-£.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 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. HYPOTHESIS. a : b = c : d. CONCLUSION. a + b:a— b = c + d:cd. PROOF... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...296. THEOREM. In any proportion the terms are also 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 : a : b = x : y. To Prove : ^-±| = 5-±l. a — ox — y Proof:... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...296. THEOREM. In any proportion the terms are also 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 : a : b = x : y. To Prove : , = x~^y. a — bx — Proof: £±5... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...VII. THEOREM 223. 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 - = - • bd To Prove a+Ji = cj-d> a— b c— d... | |
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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. 
