 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...b : 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 : b = c :... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...equation 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 prove that... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...: a = 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... | |
 | John Charles Stone, James Franklin Millis - Algebra - 1905 - 776 pages
...proportion are in proportion by addition; ie, the sum of theßrst two terms is to the first {or second) as the sum of the last two terms is to the third (or fourth). Suppose that SI ft Then, ad=bc. § 195. Adding M, ad + bd — be + bd, or <7(<H b)=b(cjrd).... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...third). [The proof is similar to the proof of 292.] 294. THEOREM. In any proportion the terms are also in proportion by composition (that is, the sum of the first two terms is to the first, or second, as the sum of the last two terms is to the third, or fourth). , „, ( a + b : a = x + y... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...each term becomes the first. PROPOSITION VI. THEOREM 333 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. HYPOTHESIS. a:b = c:d. CONCLUSION.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...each term becomes the first. PROPOSITION VI. THEOREM 333 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. HYPOTHESIS. a : 6 = c : d. CONCLUSION.... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...= c + d:d. 338. 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. Let the proportion be a:b = c:d. Then, ad =... | |
 | Webster Wells - Algebra - 1906 - 550 pages
...с + d:d. 338. 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. Let the proportion be a:b = c:d. Then, ad =... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...third). [The proof is similar to the proof of 292.] 294. THEOREM. In any proportion the terms are also in proportion by composition (that is, the sum of the first two terms is to the first, or second, as the sum of the last two terms is to the third, or fourth). •i «t ™ fa + b: a=x +... | |
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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. 
