 In any proportion the terms are in proportion by division; that is, the difference of the first two terms is to the second term as the difference of the last two terms is to the fourth.  Solid Geometry - Page 254by John H. Williams, Kenneth P. Williams - 1916 - 162 pagesFull view - About this book
 | Webster Wells - Algebra - 1879 - 468 pages
...: с (Art. 344). Similarly, we may show that 348. If four quantities are in proportion, they wul be in proportion by DIVISION ; that is, the difference of the first two terms will be to the first term, as the difference of the last two terms is to the third term. Thus, if a... | |
 | Webster Wells - Algebra - 1885 - 376 pages
...Adding both members to ac, ac + ad = ac + be, or, a Whence (Art. 296), Similarly we may prove that 300. In any proportion the terms are in proportion by Division;...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,... | |
 | Webster Wells - 1885 - 368 pages
...be. Adding both members to ac, ac + ad = ac + 6e, or, a(c + d) = c(af-6). Whence (Art. 296), • 300. In any proportion the terms are in proportion by Division;...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,... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...Adding both members to ac, ac + ad = ac + 6e, or, a Whence (Art. 296), Similarly we ma}' prove that 300. In any proportion the terms are in proportion by Division;...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,... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...a + 6:a=c + <f:e. PROPOSITION VII. Q. E D. 301. If four quantities are in proportion, they will be in proportion by division ; that is, the difference of the first two terms will be to the second term as the difference of the last two terms to the third term. Let a:b = c:d.... | |
 | George Albert Wentworth - Geometry - 1888 - 274 pages
...proportion, they will be in proportion by division ; that is, the difference of the first two terms will be to the second term as the difference of the last two terms to the third term. Let a-.b = c:d. To prove -a — b:b = c — d:d. •vr a C Now 7 =• — bd Subtract... | |
 | Webster Wells - Algebra - 1890 - 604 pages
...= c(a + 6). Whence (Art. 384), a + b:a = c + d:c. Similarly we may prove that a + b:b = c+d:d. 388. In any proportion the terms are in proportion by Division;...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... | |
 | Webster Wells - Algebra - 1890 - 560 pages
...third term. Let a : 6 = c : d. Then, ad = be. Adding both members to ac, or, a(c + d) = c(a + b). 388. In any proportion the terms are in proportion by Division; that is, the difference ofthefirnt two terms is to the first term as the difference of the last two terms is to the third term.... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...Similarly, a + b : a — c + d : c. Proposition 6. 288. If four quantities are in proportion, they are in proportion by division ; that is, the difference of the first and second is to the second as the difference of the third and fourth is to the fourth. Hyp. Let a... | |
 | George W. Lilley - Algebra - 1892 - 420 pages
...c—d OT ~~ о с а — b с — d b с a+b c+d VIL If four numbers are in proportion, they will be in proportion by division ; that is, the difference of the first two will be to the second as the difference of the last two is to the fourth. Let a : b :: с : d. a +... | |
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