Search Images Maps Play YouTube News Gmail Drive More »
 Books Books
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 254
by John H. Williams, Kenneth P. Williams - 1916 - 162 pages

## University Algebra

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...

## A Complete Course in Algebra for Academies and High Schools

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,...

## A Complete Course in Algebra

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,...

## A Complete Course in Algebra for Academies and High Schools

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,...

## A Text-book of Geometry

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....

## A Text-book of Geometry

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...

## College Algebra

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...

## College Algebra

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....

## The Elements of Plane and Solid Geometry ...

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...

## The Elements of Algebra

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 +...