 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.  Plane and Solid Geometry - Page 80by James Howard Gore - 1898 - 210 pagesFull view - About this book
 | 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 +... | |
 | 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 terras is to the first, or second, as the sum of the last two terms is to the third, or fourth). /.i.... | |
 | Webster Wells - Algebra - 1908 - 262 pages
...that, in any proportion, the means can be written as the extremes, and the extremes as the means. 145. In any proportion, the terms are in proportion by...sum of the last two terms is to the third term. Let the proportion be £ = c- • Then ^ = baac also, «±6 = £±<*. oa 146. In any proportion, the terms... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...that, in any proportion, the means can be written as the extremes, and the extremes as the means. 145. In any proportion, the terms are in proportion by...sum of the last two terms is to the third term. Let the proportion be - = - • Then ^±6 = C±4, о a aс s±8-s±i. 146. In any proportion, the terms... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 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 last term. f,. ac Given : To Prove : bd a+b _c+d bd Proof: f = ^. Then |+ ! = «+!. (Why?) bdod a +... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...VI. THEOREM 222. 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. Given the proportion - = -. (1) 6 d To Prove... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...VI. THEOREM 222. 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. Given the proportion - = -. (1) od To Prove... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...: a = d : c, by § 257. 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. or Given a : b = c : d. To prove... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...illustrated in the analysis of Prop. V. PROPOSITION V. THEOREM 398. If four numbers are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the first (or second) term as the sum of the last two terms is to the third (or fourth) term. Given a : b = c... | |
 | 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...that is, the sum of the first 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.... | |
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