 | William Guy Peck - Arithmetic - 1877 - 428 pages
...have equal denominators ; hence, their numerators are equal, that is, 5 x 8 = 2 x 20 ; in this case the product of the means is equal to the product of the extremes. But we can reason in like manner on any proportion ; hence, we have the following principle : 1°.... | |
 | 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 - Arithmetic - 1878 - 380 pages
...preceding 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
...proportion are 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
...circumference of a circle equals 3'1416 its 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.... | |
 | Joseph Ray - Arithmetic - 1880 - 420 pages
...both ratios are simple ; Compound when one or both ratios are compound. PRINCIPLES. — 1. In every proportion the product of the means is equal to the product of Hie extremes. 2. The product of the extremes divided by either mean, iritt give the other mean. < 3.... | |
 | 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
...circumference of a circle equals 3'1416 its 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 - 400 pages
...are the 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... | |
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In any proportion, the product of the means is equal to the product of the extremes. 
