 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.  Second Course in Algebra - Page 210by Webster Wells, Walter Wilson Hart - 1913 - 342 pagesFull view - About this book
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...divide both members of the equation by oc. EXAMPLE. Since | = Д, then g should equal ^. Does it ? 311. In any proportion, the terms are in proportion by...the sum of the last two terms is to the fourth. If £ =4 prove *¥ = *¥• bdbd SUGGESTION. Add 1 to both members of the given equation. EXAMPLE. Since... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...divide both members of the equation by ac. EXAMPLE. Since J = Д, then | should equal *?. Does it ? 221. In any proportion, the terms are in proportion by...two terms is to the second as the sum of the last tico terms is to the fourth. If ? = £, prove a + b = c±d_ bdlbd SUGGESTION. Add 1 to both members... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...then b : a = d : c. Why? 364. If four numbers are in proportion, they are in proportion by addition ; 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. Proof. If ^ = v then ^ + 1=^ + 1. Why... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...c:d, then b:a=d:c. Why? 364. If four numbers are in proportion, they are in proportion by addition ; 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. Proof. If £ = -, then \ + \ = - + 1.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...or b:a = d:e, by § 25T. QED PROPOSITION IV. THEOREM 267. 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. Given a: b=c:d. To prove that a+b:b =... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...is left to the student. First use Theorem A.] Theorem E. 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 a/b = c/d, to prove that (a + b)/b... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...to the student. First use Theorem A. ] Theorem E. If four quantities are in proportion, they are m 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 a/b = c/d, to prove that (a + b)/b... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...proportion, they are in proportion by composition, ie 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. Given a: b = c: d. Analysis.* The proportion. a + b: b = c + d:d is true if d (a + 6) = b (c... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...proportion, they are in proportion by composition, ie 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. Given a : b = c : d. Analysis.* The proportion a + 6: b = c-{-d:d is true if d(a + b) = b(c +... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...398 ,.!=» §402 406. Theorem. If four numbers form a proportion, they are in proportion by addition; that is, the sum of the first two terms is to the...as the sum of the last two terms is to the fourth. _. ac Given -- = -. bd a+b c+d To prove —I- = -^- . bd Proof. £+1 = ^+1. §105 0 (( a+b c+d , „... | |
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