 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...tlic product of the means. Let a : b = с : d that is, т = -, о а Clearing of fractions, ad=bc 311. If the product of two numbers is equal to the product of two others, the factors of either product may be made the extremes, and the factors of the other the means, of... | |
 | 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...made the extremes of a proportion and the other two the means. For, if ad = be, then , dividing by bd , — = — , bd bd f = |.'. a : b = c : d. 316.... | |
 | 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...made the extremes of a proportion and the other two the means. For, if ad = bc, then, dividing by bd, ad_ be bd-bd' iz л a : b = с : d. 281. Transformations... | |
 | 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...either two may be made the extremes of a proportion and tJie other two the means. A Mean Proportional is a number used for both means of a proportion ; as,... | |
 | William Chauvenet - 1893 - 340 pages
...a mean 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...of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if we have given ab' = a'b, then, dividing by bb',... | |
 | 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,... | |
 | 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...made the extremes of a proportion and the other two the means. A Mean Proportional is a number used for both means of a proportion ; as, Ъ, in the proportion... | |
 | 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... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...two quantities is equal to the square root of their product. 297. 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. 298. If four quantities of the same kind are in proportion,... | |
 | George Albert Wentworth - Algebra - 1896 - 302 pages
...a:b::c:d, Î-Î By multiplying by bd, ad = be. 287. If the product of two numbers be equal to the prorfwt of two others, either two may be made the extremes of a proportion, and the other two the means. For, if ad = be, by dividing by bd, ^=*£, bd bd И 288, The equation ad = bс gives be... | |
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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. 
