| Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877
...of a proportion are called the Extremes, and the second and third terms the Means. In any proportion **the product of the means is equal to the product of the extremes.** Thus, in the proportion 4:8 :: 12:24, 8X12 = 4X24. A Simple Proportion expresses the equality of two... | |
| William Frothingham Bradbury - Algebra - 1877 - 269 pages
...terms of a proportion are called the extremes, and the second and third the means. 106. In a proportion **the product of the means is equal to the product of the extremes.** Let a : b = с : d a с 6 = 5 Clearing of fractions, ad^bc A proportion is an equation ; and making... | |
| George Albert Wentworth - Geometry - 1877 - 398 pages
...circumference to the diameter is a mean proportional between the segments of the diameter). aXb, §259 (flu **product of the means is equal to the product of the extremes).** QEF 355. COROLLARY 1. A square may be constructed eqxiivalent to a triangle, by taking for its side... | |
| Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 348 pages
...illustration may be derived the following principles : 1. When four general numbers form a proportion, **the product of the means is equal to the product of the extremes.** 2. A missing extreme may be found by dividing the product of the means by the given extreme. 3. A missing... | |
| Robert Johnston (F.R.G.S.) - 1879
...called means (9 and 10); the first and fourth extremes (15 and 6). When four numbers form a proportion, **the product of the means is equal to the product of the extremes.** Thus, 6 : 3 : : 8 : 4 ; here, 6X4, the extremes, = 8X3, the means, = 24. form a proportion, the factors... | |
| Education Ministry of - 1880
...diameter. SECTION X. 1. Define ratio and proportion. Show that when four numbers are in proportion **the product of the means is equal to the product of the extremes.** 2. Explain, as to a class, the object and the process of reducing fractions to a common denominator.... | |
| George Albert Wentworth - Geometry, Plane - 1881 - 250 pages
...the diameter is a mean proportional between the segments of the diameter). Then SCl = MCXCN, §259 **(the product of the means is equal to the product of the extremes).** QEF 358. SCHOLIUM. The problem is impossible when the side of the square is greater than one-half the... | |
| Education Ministry of - 1882
...diameter. SECTION X. 1. Define ratio and proportion. Show that when four numbers are in proportion **the product of the means is equal to the product of the extremes.** 2. Explain, as to a class, the object and the process of reducing fractions to a common denominator.... | |
| Henry Bartlett Maglathlin - Arithmetic - 1882 - 368 pages
...extremes, and 3 and 4 the means. Hence the following 348. Principles of Proportion. 1. In a proportion **the product of the means is equal to the product of the extremes.** 2. Hither extreme is equal to the product of the means divided by the other extreme. 3. Either mean... | |
| Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 312 pages
...a proportion are called the extremes ; and the second and third, the means. 385. PRINCIPLES. — I. **The product of the means is equal to the product of the extremes.** 3. A missing extreme may be found by dividing the product of the means by the given extreme. 386. To... | |
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