 | George Albert Wentworth - Geometry - 1877 - 416 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 - 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 - 320 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 - 238 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
...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 - 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.... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1882 - 398 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 - 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... | |
 | 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... | |
 | James Gow - Mathematics - 1884 - 350 pages
...would suffice for the discovery of many important rules, such for instance as that, in a proportion, the product of the means is equal to the product of the extremes. It is probable, therefore, that much of the Greek arithmetical knowledge dates from a time far anterior... | |
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In any proportion, the product of the means is equal to the product of the extremes. 
