 | Webster Wells - 1879 - 468 σελίδες
...: 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 σελίδες
...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 - 368 σελίδες
...(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 - 1885 - 324 σελίδες
...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 σελίδες
...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 - 1886 - 392 σελίδες
...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 σελίδες
...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... | |
 | Webster Wells - 1890 - 604 σελίδες
...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... | |
 | Edward Albert Bowser - 1890 - 420 σελίδες
...= 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... | |
 | George W. Lilley - 1892 - 420 σελίδες
...= -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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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. 
