 | George Albert Wentworth - 1904 - 496 páginas
...If four quantities are in proportion, ihey 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 i±* = «±*. ac And ^Z* = £H*. § 333 ac r,.... | |
 | Fletcher Durell - 1911 - 553 páginas
...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)... | |
 | Fletcher Durell - 1904 - 382 páginas
...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 =... | |
 | John Charles Stone, James Franklin Millis - 1905 - 776 páginas
...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... | |
 | Webster Wells - 1906 - 484 páginas
...— 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 - 1906 - 440 páginas
...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... | |
 | Edward Rutledge Robbins - 1906 - 268 páginas
...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:... | |
 | Webster Wells - 1906 - 550 páginas
...— 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^ = £^.... | |
 | Isaac Newton Failor - 1906 - 431 páginas
...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 - 1907 - 428 páginas
...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... | |
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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. 
