 | Charles Davies - 1850 - 148 стор.
...compared by their ratio, the term, " A geometrical proportion/' is applied to four numbers, in which the ratio of the first to the second is the same as that of the third to the fourth. Thus, 2 : 4 :: 6 : 12, is a geometrical proportion, of which the ratio... | |
 | James B. Dodd - 1850 - 276 стор.
...firfl of two quantities to the second, is the quotient of the first divided by the second. The inverse ratio of the first to the second, is the same as the direct ratio of the second to the first. For example, the direct ratio of 6 to 3 is §=2 ; the inverse... | |
 | Charles Davies - 1850 - 400 стор.
...geometrical cnl proper- .„ . i- ir i. • LL uon de«ned, proportion, is applied to tour numbers, in which the ratio of the first to the second is the same as that of the third to the fourth. Thus, Example. 2 : 4 : : 6 : 12, is a geometrical proportion, of which... | |
 | George Roberts Perkins - 1851 - 356 стор.
...between 12 feet and 3 pounds '.' Can the ratio be a denominate number ? How are four quantities related when the ratio of the first to the second is the same as the ratio of the third to the fourth? Which are called extremes ? Which are called means 7 To what is the product of the extremes equal 7... | |
 | John Radford Young - 1852 - 230 стор.
...quantities are said to be in proportion, or to form a proportion, you are merely to understand, that the ratio of the first to the second is the same as the ratio of the third to the fourth ; in other words, that if you were to divide the first by the second, you would get the same complete... | |
 | James B. Dodd - 1852 - 410 стор.
...first of two quantities to the second, is the quotient of the first divided by the second. The inverse ratio of the first to the second, is the same as the direct ratio of the second to thejirst. For example, the direct ratio of 6 to 3 is |=2 ; the inverse... | |
 | James B. Dodd - 1853 - 398 стор.
...first of two quantities to the second, is the quotient of the first divided by the second. The inverse ratio of the first to the second, is the same as the direct ratio of the second to the first. For example, the direct ratio of 6 to 3 is f—2 ; the inverse... | |
 | J. R. Young - 1854 - 228 стор.
...quantities are said to be in proportion, or to form a proportion, you are merely to understand, that the ratio of the first to the second is the same as the ratio of the third to the fourth ; in other words, that if you were to divide the first by the second, you would get the same complete... | |
 | George Roberts Perkins - 1855 - 388 стор.
...between 12 feet and 3 pounds ? Can the ratio be a denominate number ? How are four quantities related when the ratio of the first to the second is the same as the ratio of the third to the fourth t Which are called extremes ? Which are called means ? To what is the product of the extremes equal... | |
 | Charles Davies, William Guy Peck - 1855 - 628 стор.
...standard to the measured quantity ; hence, the measure of proportion is ratio. Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth ; this relation is expressed algebraically thus, a :... | |
| |
Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth. 
