 | Charles Butler - 1814 - 540 σελίδες
...same number or ratio b. h The fundamental property of a Geometrical Progression is this ; namely, " The product of the two extreme terms is equal to the product of any two in" termediate terms, equally distant from the extremes ;" from this property the rest are... | |
 | Frederick Emerson - 1834 - 300 σελίδες
...terms 4 and 3, and the mean terms 2 and 6. These results prove, that, if four numbers be in proportion, the product of the two extreme terms is equal to the product of the two mean terms: a principle of great practical utility, and the foundation of the ancient RULE OF THREE. It follows from... | |
 | Frederick Emerson - 1835 - 300 σελίδες
...mean terms 2 and 6. These results prove, that, if Jour numbers be in proportion, the product of Ihe two extreme terms is equal to the product of the two mean terms: a principle of great practical utility, and the foundation of the ancient RULE OF THREE. It follows from... | |
 | Frederick Emerson - 1840 - 302 σελίδες
...terms 4 and 3, and the mean terms 2 and 6. These results prove, that, if four numbers be in proportion, the product of the two extreme terms is equal to the product of the two mean terms: a principle of great practical utility, and the foundation of the ancient RULE OF THREE. It follows from... | |
 | Henry Raper - 1840 - 700 σελίδες
..."is to," "as," are replaced by dots, for shortness, thus, 18 : ß :: 12 : 4.* 16. In a proportion, the product of the two extreme terms is equal to the product of the two middle or mean terms. Thus in the proportion 18 : 6 :: 12 ; 4, the product of 4 and 18 is equal to... | |
 | Roswell Chamberlain Smith - 1841 - 324 σελίδες
...means, 3 and 8. 28. Hence we deduce an important principle, viz. THAT IN EVERY GEOMETRICAL PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS. 29. For example, 4 : 5 : : 8 : 10. Here the product of the two extremes, 4 and 10, is 40, and the product... | |
 | Roswell Chamberlain Smith - 1842 - 320 σελίδες
...means, 3 and 8. 28. Hence we deduce an important principle, viz. THAT IN EVERY GEOMETRICAL PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS. 29. For example, 4 : 5 : : 8 : 10. Here the product of the two extremes, 4 and 10, is 40, and the product... | |
 | Roswell Chamberlain Smith - 1843 - 320 σελίδες
...is equal to J. 28. Hence we deduce an important principle, viz. THAT IN EVERY GEOMETRICAL PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS. 29. For example, 4 : 5 : : 8 : 10. Here the product of the two extremes, 4 and 10, is 40, and the product... | |
 | George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 σελίδες
...by 2. 2. In any series of numbers in geometrical progression consisting of an even number of terms, the product of the two extreme terms is equal to the product of the two mean terms, and also to the product of any two terms equally distant from the centre; and in a series consisting... | |
 | Roswell Chamberlain Smith - 1850 - 314 σελίδες
...means, 3 and 8. 28. Hence we deduce an important principle, viz. THAT IN EVERY GEOMETRICAL PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS. 29. For example, 4 : 5 : : 8 : 10. Here the product of the two extremes, 4 and 10, is 40, and the product... | |
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PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS. 
