| 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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