 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.  First Course in Algebra - Page 287by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1917 - 309 pagesFull view - About this book
 | Webster Wells - Algebra - 1879 - 468 pages
...will be in proportion by COMPOSITION ; that is, the sum of the first two terms will be to the first term, as the sum of the last two terms is to the third term. Thus, if a : b = о : d then, • ad = b с Adding both members to ac, ac + ad = ac + be,... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...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 ter.n. Let a : & = с : d. Then, ad = be. Adding both members to ctc, ac + ad = ac + &e, or,... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...ad = be. Whence, b : a = d : c. 299. 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 tern. Let a : b = с : d. Then, ad = be.... | |
 | Webster Wells - 1885 - 368 pages
...— be. Whence, b : a = d : c. 299. 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 ter.n. Let a : b — с : d. Then, ad... | |
 | Webster Wells - Algebra - 1885 - 372 pages
...ad — be. Whence, b : a = d : c. 299. 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 ter.n. Let a : b = с : d. Then, ad =... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...proportion, they will be in proportion by composition ; that is, the sum of the first two terms will be to the second term as the sum of the last two terms to the fourth term. Let a:b=c:d. To prove a + b :b = c + d:d. -NT ac Now T = -• 6 d Add 1 to each... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...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. Let a : b = с : d. Then, ad = bc. Adding both members to ac, ac + ad = яc + &e, or, a(c... | |
 | Webster Wells - Algebra - 1890 - 604 pages
...ad = 6e. Whence, b : a = d : c. 387. 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. Let a : b = с : d. Then, ad = 6e.... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...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. Let the proportion be a: b = c:d. ( 1 ) To prove, a -j- b : a = c -\- d : c. We have from... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...proportion, they will be in proportion by composition ; that is, the sum of the first two terms will be to the second term as the sum of the last two terms to the fourth term. 301. If four quantities are in proportion, they will be in proportion by division;... | |
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