 | George Leonard (jr.) - Arithmetic - 1841 - 352 pages
...fractions when changed to a common denominator, always hare equal numerators ? Therefore in a proportion, The product of the two extremes is equal to the product of the two means. So if we divide the product of the two means by one eztrems, the quotient will be the other. In order... | |
 | George Leonard - 1841 - 356 pages
...fractions when changed to a common denominator, always have equal numerators ? Therefore in a proportion, The product of the two extremes is equal to the product of the two means. So if we divide the product of the two means by one extreme, the quotient will be the other. In order... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...would be constant. 154. If we have the proportion A : B : : C : D, •we have — =— , (Art. 145); and by clearing the equation of fractions, we have...between the numbers 2 : 10 : : 12 : 60, which gives 2 x 60=10 x 12 = 120. QUEST. — 153. When are two quantities said to be reciprocally proportional... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...divided by the other. 178. If we have the proportion A : B : : C : D, we have — =— , (Art. 169) ; nj\ and by clearing the equation of fractions, we have...extremes is equal to the product of the two means. 179. If four quantities, A, B, C, and D, are so related to each other that we shall also have — =—... | |
 | Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...product of the divisor by the quotient is equal to the dividend, it follows, That in every proportion the product of the two extremes is equal to the product of the two means. Thus, in the first example, 1 : 6 : : 2 : 12 we have, 1x12=6x2=12 and in the proportion, 4 : 12 : :... | |
 | mrs. Henry Ayres - Arithmetic - 1843 - 470 pages
...properties in this rule as in the last. In the following geometrical series, 2, 4, 8, 16, 32, 64, 128. The product of the two extremes is equal to the product of any two means equally distant from the extremes, — for 128 X 2 =256, and 64 X 4 = 256, that is the... | |
 | Charles Davies - Arithmetic - 1844 - 356 pages
...product of the divisor by the quotient is equal to the dividend, it follows, That in every proportion the product of the two extremes is equal to the product of the two means. Thus, in the first example, 1 : 6 : : 2 : 12 we have, 1x12=6x2=12 and in the proportion, 4 : 12 : :... | |
 | Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...a2r2=a2r2, <fcc. When we take four conscutive terms, as a, ar, or2,, ar2, or ar, ar1, ar?, ar4, we find that the product of the two extremes is equal to the product of the two means. Thus a2r2=a2r2, and in the other a2r4=a2r4, &c., &c. If the terms be odd, the product of the extremes... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...: D, BD we have — = -^, (Art. 169) ; and by clearing the equation of fractions, we have BC = AD; that is, Of four proportional quantities, the product...extremes is equal to the product of the two means. 179. If four quantities, A, B, C, and D, are so related to each other that A x D — B x C, we shall... | |
 | mrs. Henry Ayres - 1846 - 400 pages
...properties in this rule, as in the last. In the following Geometrical series, 2, 4, 8, 16, 32, 64, 128, the product of the two extremes is equal to the product of any two means equally distant from the extremes,— for 128x2 = 256, and 64x4= 256, that is the case... | |
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AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means. 
