 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 = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -  A College Algebra - Page 155by George Albert Wentworth - 1888 - 494 pagesFull view - About this book
 | William James Milne - Algebra - 1911 - 378 pages
...proportional to a, b, and c. Find a fourth proportional to ^, ^, and -£. 394. PRINCIPLE 3. — Tjf 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.... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...bc, by clearing of fractions. bd EXAMPLE. Since f = f, 2 • 9 should equal 3 • 6. Does it ? 218. If the product of two numbers is equal to the product of two other numbers, one pair may be made the means and the othcr the. extremes of a proportion. If mn =... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...proportion are equal, the two consequents are equal. 264. COROLLARY 3. If the product of two quantities is 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. For if ad = be, then, by dividing by bd, - = -, by Ax. 4.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...proportion are equal, the two consequents are equal. 264. COROLLARY 3. If the product of two quantities is 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. For if ad = be. then, by dividing by bd, - = -, by Ax. 4.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...proportion are equal, the two consequents are equal. 264. COROLLARY 3. If the product of two quantities is 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. For if ad = 6c, then, by dividing by 6d, - = -, by Ax. 4.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...Find the third proportional to (a) 9 and 12, (6) 14 and 21, (c) 1 and a. PROPOSITION II. THEOREM 279. If the product of two numbers is equal to the product of two oiIier numbers, etther two may be made the means, and the other two the extremes, of a proportion.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...Corollary 1. If the two antecedents of a proportion are equal, the consequents are also equal. Theorem B. If the product of two numbers is equal to the product of two other numbers, either pair may be made the means of a proportion in which the other two are taken as... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...bc, by clearing of fractions. bd EXAMPLE. Since | = £ , 2 . 9 should equal 3 • 6. Does it ? 190. If the product of two numbers is equal to the product of two other numbers, one pair may be made the means and the other the extremes of a proportion. If mn —... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...Find the third proportional to (a) 9 and 12, (6) 14 and 21, (c) 1 and a. PROPOSITION II. THEOREM 279. 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. Given... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...Corollary 1. If the two antecedents of a proportion are equal, the consequents are also equal. Theorem B. If the product of two numbers is equal to the product of two other numbers, either pair may be made the means of a proportion in which the other two are taken as... | |
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