 | 1867 - 964 σελίδες
...9. Sow, 12 and 3 are the extremes, and 4 and 9 are the means, oí tie given proportion. Conversely, if the product of two numbers is equal to the product of any other two numbers, the four numbers will form a proportion. Thus, since — 8 x 3 = « x 4 or,... | |
 | Nicholas Tillinghast - 1844 - 108 σελίδες
...the means is equal to the product of the extremes ; as, 6 : 4 : : 15 : 10, hence 10.6=15.4. Prop. 2. If the product of two numbers is equal to the product of two other numbers, the four may be arranged in a proportion; as, 8.3=12.2, hence 8: 12: : 2 : 3. Scholium. Remark that... | |
 | Thomas Percy Hudson - 1866 - 268 σελίδες
...45 ' Now, 12 and 3 are the extremes, and 4 and 9 are the means, of the given proportion. Conversely, if the product of two numbers is equal to the product of any other two numbers, the four numbers will form a proportion. Thus, since 8X3 = 6X4, 8, 4, 6, 3 form... | |
 | William Chauvenet - 1871 - 380 σελίδες
...mean proportional 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... | |
 | William Chauvenet - 1872 - 382 σελίδες
...mean proportional 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... | |
 | Richard Wormell - 1876 - 268 σελίδες
...mark the fourth term by x — 12 : 108 : : n : x. And from what has already been said — («). When the product of two numbers is equal to the product of two othtrs they form a proportion in four different ways. Thus the four numbers (5, 54, 6, 45) form a proportion... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...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 Albert Wentworth - 1888 - 514 σελίδες
...proportion are given, it appears from the above that the fourth term can have one, and but one, value. 191. 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 Frothingham Bradbury - 1889 - 444 σελίδες
...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,... | |
 | George Albert Wentworth - 1891 - 550 σελίδες
...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... | |
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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. 
