 | William Frothingham Bradbury - Algebra - 1877 - 280 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 - 416 pages
...the diameter is a mem proportional between the segments of the diameter). Then tiCl = MCXCN, §259 (the product of the means is equal to the product of the extremes). QEF GEOMETRY. BOOK IV. PROPOSITION XXVI. PROBLEM. 359. To construct a parallelogram equivalent to a... | |
 | Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...numerator by the other denominator, the products are equal. Hence, iu every proportion, PRINCIPLE I. — The product of the means is equal to the product of the extremes. If multiplying either the means or extremes together produces the same product, dividing this product... | |
 | 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... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...last terms of a proportion are called the extremes, and the second and third terms the means. Thus, in the proportion a : b : : c : d, a and d are the extremes, and b and c are the means ; a and b together constitute the first couplet, aud c and d the second couplet.... | |
 | 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... | |
 | 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... | |
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In any proportion, the product of the means is equal to the product of the extremes. 
