| Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 360 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 - 318 pages
...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 - 248 pages
...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 - 1881 - 266 pages
...circumference to 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 line... | |
| George Albert Wentworth - Geometry, Plane - 1882 - 268 pages
...JfO. Then the square R, constructed upon a line equal to NP, is equivalent to the О AB С D. Гот **MN : NP : : NP : NO, § 307 (a .L let fall from any...the extremes). QEF 355. COROLLARY 1. A square may** bе constructed equivalent to a triangle, bу taking for its side a mean proportional between the base... | |
| George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...(a _L let fall from any point of a circumference to the diameter is a mean proportional between ffie **segments of the diameter). aXb, §259 (the product...by taking for its side a mean proportional between** tho. base and one-half the altitude of the triangle. 356. COR. 2. A square may be constructed equivalent... | |
| Education Ministry of - 1882 - 292 pages
...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.... | |
| Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 324 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... | |
| Henry Bartlett Maglathlin - Arithmetic - 1882 - 400 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 - 224 pages
...proportion are called the extremes ; and the second and third, the means. 385. PRINCIPLES. — 1. Tlie **product of the means is equal to the product of the extremes.** 2. A missing mean may be found by dividing the product of the extremes by the given mean. 3. A missing... | |
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