 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.  Algebra for Secondary Schools - Page 315by Webster Wells - 1906 - 462 pagesFull view - About this book
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...the fourth. § 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 second as the sum of the last two terms is to the fourth. § 407. Theorem. If four numbers form a proportion,... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...§398 .-•-A 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 second as the sum of the last two terms is to the fourth. _. ac Given r = -. od .. a+b c+d To prove... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 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 : 6 = c : d. To prove a + b:b = Analysis.* The proportion a + b: b = c + d:d is... | |
 | Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...is left to the student. First use Theorem A.] Theorem E. If four quantities arc m 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... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...term is to the first as the fourth term is to the third. 6. 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. 7. If four quantities are in proportion,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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 : 6 = c : d. Analysis.* The proportion a + b: b = c + d:d is true if d(a + b)... | |
 | Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1925 - 398 pages
...d, then b : a = d : c. 3. If four quantities are in proportion, they are in proportion by addition, that is, the sum of the first two terms is to the first term (or second) as the sum of the last two terms is to the third (or fourth). Ex., if a : b = c : d, then... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...: a = d : c. (See 189.) QED Proposition VI. Theorem 194. // four quantities are in proportion, they are in proportion by composition; that is, the sum of the first and second is to the second, as the sum of the third and fourth is to the fourth. Hyp.: Given a : b... | |
 | William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...— ? Proposition 10 274. Theorem. Four quantities in proportion are in proportion also by addition; that is, the sum of the first two terms is to the second as the sum of the last two is to the fourth. Given: a : b = c : d. To prove: Proof: 1. b = d'... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 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 tivo terms is to the fourth term. Proof. If °- = -7, then 7 + 1... | |
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