| George Albert Wentworth - 1906 - 440 σελίδες
...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... | |
| Elmer Adelbert Lyman - 1908 - 364 σελίδες
...quantities are in proportion, the product of the means is equal to the product of the extremes. 327. If the product of two numbers is equal to the product...two other numbers, either pair may be made the means and the other pair the extremes of a proportion. 329. If four quantities are in proportion, they are... | |
| William James Milne - 1908 - 476 σελίδες
...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... | |
| Frederick Howland Somerville - 1908 - 428 σελίδες
...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... | |
| Albert Harry Wheeler - 1908 - 700 σελίδες
...— - • 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 - 1908 - 336 σελίδες
...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 - 1908 - 206 σελίδες
...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 - 1908 - 329 σελίδες
...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 - 1909 - 332 σελίδες
...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...other numbers, either pair may be made the means, and the other pair the extremes, of a proportion. Let mq = np. tYYl IY\ Divide by nq, — - - ; or... | |
| George William Myers - 1909 - 394 σελίδες
...extremes is equal to the product of the means. This is a convenient test of proportionality. 11. If the product of two numbers is equal to the product...two other numbers, either pair may be made the means and the other pair the extremes in a proportion. 12. A proportion is obtained from a given proportion... | |
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