 If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.  Elementary Algebra - Page 225by Elmer Adelbert Lyman, Albertus Darnell - 1917 - 503 pagesFull view - About this book
 | George Albert Wentworth - Algebra - 1906 - 440 pages
...terms of a proportion are given, it appears that the fourth terra has one value and but one value. 380. If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad... | |
 | William James Milne - Algebra - 1908 - 476 pages
...fourth proportional to a, 6, and c. Find a fourth proportional to ^, ^, and \. 478. PRINCIPLE 3. — If the product of two numbers is equal to the product of two other numbers, one pair of them may be made the extremes and the other pair the means of a proportion. For, given... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...between two quantities equals tlui square root of tlieir product. THEOREM II (Converse of Theorem I) 327. If the product of two numbers is equal to the product of two other numbers, either pair may be made the means and the other pair the extremes of a proportion. SUGGESTION. Let... | |
 | Albert Harry Wheeler - Algebra - 1908 - 700 pages
...proportional by m, = — - • III ~"~ t7 Hence, m — V( — 4)( — 9) = — fi, which is a negative number, (iii.) If the product of two numbers is equal to the product of two others, the numbers of either xft may be made the, extremes, and those of the other set may be made... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...numbers is equal to the square root of their product. PROP. II. THEOREM 218. (Converse of Prop. I.) If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...numbers is equal to the square root of their product. PROP. II. THEOREM 218. (Converse of Prop. I.) If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad... | |
 | Frederick Howland Somerville - Algebra - 1908 - 428 pages
...374. Given ad = be. Then a:b = c:d. Proof : ad = be. Dividing by bd, í = í. bd That is : If tl1e product of two numbers is equal to the product of two other numbers, one pair may be made the extremes, and the other pair the means, of a proportion. In like manner we... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...numbers is equal to the square root of their product. PROP. II. THEOREM 218. (Converse of Prop. I.) If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad... | |
 | James William Nicholson - Algebra - 1909 - 332 pages
...in like manner, illustrate each of the following principles by one or more numerical examples. (2) If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion. Let mq = np. tYYl... | |
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