 | 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 - Algebra - 1908 - 456 pages
...third term. 147. 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. The proof is left to the student. HINT. — Divide the result of § 145... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 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 - = - • oa To Prove « + ? = !+! a — 0 c —... | |
 | 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... | |
 | Webster Wells - Algebra - 1908 - 262 pages
...ab^cd bd 147. 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. Let the proportion be ?=^. Then o±6 = £±^. 148. In any number of proportions,... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...term. 333. If four quantities are in proportion, they are in proportion by composition and division, ie the sum of the first two terms is to their difference as the sum of the last two terms is to their difference. 334. In a series of equal ratios the sum of the antecedents is to the... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...fourth). 296. 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). 312. Triangles are similar if they are mutually equiangular and their... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...400. // four numbers 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. Given a : b = c: <l. 1 2, 3. 4. Le. PROPOSITION VIII. THEOREM 401. In... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...equation. 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. If 2=-c-, prove bda — be — d PROOF. 1. Since ?=-, then а_+_*_ !±_й... | |
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Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their difference. 
