 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.  Advanced Algebra - Page 142by Arthur Schultze - 1905 - 562 pagesFull view - About this book
 | George Albert Wentworth - Algebra - 1891 - 380 pages
...proportion are given, it appears from the above that the fourth term can have one, and but one, value. 315. 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... | |
 | George Albert Wentworth - Algebra - 1891 - 550 pages
...proportion are given, it appears from the above that the fourth term can have one, and but one, value. 280. 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... | |
 | George W. Lilley - Algebra - 1892 - 420 pages
...of the means. Let ad = b c. (l С Divide by bd, 6 = 5 ' By definition, a : b :: с : d. Hence, II. 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 tJie other two the means. A Mean Proportional... | |
 | James Morford Taylor - Algebra - 1893 - 362 pages
...three terms of a proportion are ж2, 2 a, and 5 b, the fourth = 2 а x 5 b -f- x2. 216. Conversely, ff the product of two numbers is equal to the product of two other numbers, two of them may be made the extremes and the other two the means of a proportion. For, let ad = be.... | |
 | William Chauvenet - 1893 - 340 pages
...proportional (II., 36) between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...divides the parallelogram into two parts which are equal in all respects. PROPOSITION II. 263. Theorem. If the product of two numbers is equal to the product of two other numbers, the factors of one product may be made the means, and the factors of the other product the extremes... | |
 | George P. Lilley - Algebra - 1894 - 522 pages
...means. Let ad = Ь с. а с Divide by Id, т = ~¡ • By definition, a : Ь ;: с : d. Hence, II. 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. A Mean Proportional... | |
 | John Macnie - Geometry - 1895 - 386 pages
...and if ZBAC:^ABC = 7:3, show that ZAOC: Z ABC = 7:2. PROPOSITION III. THEOREM. JJ . 240. Conversely, 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 its means. Given : ad... | |
 | Emerson Elbridge White - Algebra - 1896 - 418 pages
...5:я::7:10. 7. G : x : : 24 : x + G. 4. 4 : 6 : : x : 4. 8. 4 : 18 : : x - 3 : x + 4. 524. If tlie product of two numbers is equal to the product of two other numbers, the four numbers are proportionals; and any tim of them may be made the extremes, and the other two... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...bd, the product of the denominators of (1). We have ad= be. (2) Ax. 7 QED 238. THEOREM. Conversely, if the product of two numbers is equal to the product of two others, either pair may be made the extremes and the other pair the means of a proportion. GIVEN ad=bc.... | |
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