 | 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...sum of the last two terms is to their difference. The proof is left to the student. HINT. — Divide the result of § 145 by that of § 146. 148. In... | |
 | 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...sum of the last two terms is to their difference). 312. Triangles are similar if they are mutually equiangular and their homologous sides are proportional.... | |
 | 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...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 a series of equal ratios the... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...equation. 313. 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...sum of the last two terms is to their difference. If 2=« prove о da — b c—d PROOF. 1. Since ?= -.then £+-*=U2. (Composition) babd 2. Since f =... | |
 | 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...sum of the last two terms is to their difference. If 2=-c-, prove bda — be — d PROOF. 1. Since ?=-, then а_+_*_ !±_й . (Composition) bdbd 2. Since... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...400. If 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...sum of the last two terms is to their difference. Given a : b = c : d. To prove a+ b:a — b — c + d:c — d. 1 2. 3. And 4. ARGUMENT a+b_C +d ae a... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 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...sum of the last two terms is to their difference. Given a/b = c/d, to prove that (a + b)/(a — 6) = (c+d)/(c— d). Proof. We have a±b = c_ + d> mda^b... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...THEOREM 285. 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...sum of the last two terms is to their difference. Given a : b = c : d. To prove a + 6:a — b = c+d:c — d. Proof. a : b = c : d. (HjP-) _ = ,_. (-»,,)... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 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...sum of the last two terms is to their difference. Given a/b = c/d, to prove that (a + 6)/(« - 6) = (c+d)/(c- d). Proof. We have = . = . bdbd Th E' p... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...THEOREM 285. 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...sum of the last two terms is to their difference. Given a:b = c:d. To prove a + b : a — b = c +d :c — d. Proof. a : b = c : d. (Hyp.) a + b c + <?... | |
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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. 
