 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 - Side 80av James Howard Gore - 1898 - 210 siderUten tilgangsbegrensning - Om denne boken
 | Webster Wells - 1879 - 468 sider
...: d then, ad = b с Whence, b : a = d : c. 347. If four quantities are in proportion, they 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 =... | |
 | Webster Wells - 1885 - 372 sider
...as the fourth term is to the third. Let a : b = с : d. Then, ad — be. Whence, b : a = d : c. 299. In any proportion the terms are in proportion by Composition;...term, as the sum of the last two terms is to the third ter.n. Let a : b = с : d. Then, ad = be. Adding both members to ac, ac + ad = ac + be, or, a Whence... | |
 | Webster Wells - 1885 - 324 sider
...prove that 300. 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. Let a : b = с : d. Then, ad = be. Subtracting... | |
 | Webster Wells - 1885 - 370 sider
...prove that 300. 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. Let a : b = с : d. Then, ad = be. Subtracting... | |
 | Webster Wells - 1885 - 368 sider
...(Art. 296), • 300. 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 Let a : b = с : d. Then, ad — be. Subtracting... | |
 | Webster Wells - 1886 - 392 sider
...VI. THEOREM. 248. 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. Let a:b = c:d, Then ad = be. Subtracting both... | |
 | Webster Wells - 1889 - 584 sider
...as the fourth term is to the third. Let a : & = с : d. Then, aa = bc. Whence, b : a = d : c. 315. In any proportion the terms are in proportion by Composition...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 + d) = c( Whence... | |
 | Edward Albert Bowser - 1890 - 420 sider
...= be. (281) .-. a:c = b:d. (283) QED Proposition 5. 287. If 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. Let a : b = c... | |
 | Webster Wells - 1890 - 604 sider
...b:b = c+d:d. 388. 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. Let o : 6 = c : d. Then, ad = be. Subtracting... | |
 | George W. Lilley - 1892 - 420 sider
...= -j-~ Therefore, a + b :b :: c + d : d. Hence, VI. If four numbers are in proportion, they will be in proportion by composition; that is, the sum of the first two will be to the second as the sum of the last two is to the fourth. Let a : b : : с : d. ac By definition,... | |
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