 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...equal to the product of the extremes divided by the other mean. (i). PROPOSITION П. . Conversely. If the product of two quantities be equal to the product of two others, then two of them may be taken for the means, and the other two for the extremes of a proportion. Let... | |
 | Benjamin Greenleaf - Algebra - 1875 - 338 pages
...the fourth may be found. Let a : b : : c : x. Then, ax = bc; be whence, x = — THEOREM H. 316. Jf the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other tioo the means of a proportion. Let ad = b c. oc... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...equal to the product of the means). Whence, extracting the square root, b = Vac. PROPOSITION III. 261. If the product of two quantities be equal to the product of two others, either two may be made the extremes of a proportion in which the other two are made the means. Let... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...is equal to the product of the means). Whence, extracting the square root, PROPOSITION III. 261. lf the product of two quantities be equal to the product of two others, either two may be made the extremes nf a proportion in which the other two are made the means. Let... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...product of the means). Whence, extracting the square root, b = \ac7 QED PROPOSITION III. 261. If ihe product of two quantities be equal to the product of two others, either two may be made the extremes of a proportion in which the other two are made the means. Let... | |
 | Robert Potts - 1879 - 668 pages
...quantifies be proportionals, the product of the extremes is equal to the product of the means. Conversely. If the product of two quantities be equal to the product of two others, the four quantities may form a proportion of which the terms of either product may be the extremes, and of the... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...the fourth may be found. Let a : b : : c : x. Then, ax = be ; be whence, x = — • THEOREM II. 316i If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion. Let ad ;= I c. (IC... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...are given, the fourth may be found. Thus, if a : b — c : x then, ax = b с be Whence, x = a 344. If the product of two quantities be equal to the product of two others, one pair of them may be made the extremes, and the other pair the means, of a proportion. Thus, if... | |
 | Robert Potts - Algebra - 1879 - 672 pages
...quantities be proportional», the product of the extremes is equal to the product of the means. Conversely. If the product of two quantities be equal to the product of two others, t/te four quantities may form a proportion of which the terms of either product may be tlie extremes,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...not involve the multiplication or division of two of these magnitudes. Proposition 2. Theorem.—If the product of two quantities be equal to the product of two others, these four quantities may form a proportion, one set being taken for the extremes and the other for... | |
| |
If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion. 
