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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