| George Roberts Perkins - Arithmetic - 1841 - 274 pages
...days, is J. The ratio of 3j hours to 7£ hours, is 31-i-7J=4f. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus 4, 6, 8,... | |
| George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...Proportion, then, is that relation in respect of magnitude, which subsists between four quantities, when the ratio of the first to the second is the same as the ratio ol the third to the fourth. Thus, the quantities 6, 3, 8, and 4, taken in that order, are proportionals;... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...to illustrate this defiuition, let us take the numbers 10, -I, 15, and 6, and it will be seen that the ratio of the first to the second is the same as the ratio of the third to the fourth. For, if the first and third be multiplied by 2, and the second and fourth by 5, the multiples of the... | |
| George Roberts Perkins - Arithmetic - 1846 - 266 pages
...What is the ratio of 10 yards to 5 yards? Of 8 inches to 4 inches? 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 ? When four terms are in proportion, how are they written I Of the four terms constituting a proportion,... | |
| Charles Davies - Arithmetic - 1846 - 370 pages
...cloth is the 2d term, $2 is the - 3d term, $12 is the ... 4th term. Now the ratio of the first term to the second is the same as the ratio of the third to the fourth. This relation between four numbers is called proportion ; and generally Four numbers are said to be... | |
| Charles Davies - Arithmetic - 1847 - 368 pages
...between four numbers is called proportion ; and generally, Four numbers are said to be in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Hence, 181. How do you determine what part one number is of another?... | |
| Charles Davies - Arithmetic - 1847 - 368 pages
...between four numbers is called proportion ; and generally, Four numbers are said to be in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Hence, 181. How do you determine what part one number is of another?... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...other antecedent must be greater than its consequent; if equal, equal; and if less, less. Def. 3. Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third; thus, if A, B, and C are in proportion, then A : B :... | |
| George Roberts Perkins - Arithmetic - 1849 - 346 pages
...between 12 feet and 3 pounds ? Can the ratio be a denominate number 1 How are four quantities related when the ratio of the first to the second is the same as the rntio of tbe third to the fourth .' Which are called extremes ? Which are culled means t To what is... | |
| George Roberts Perkins - Arithmetic - 1849 - 356 pages
...days, is f . The ratio of 3| hours to 1\ hours, is 3i-^7i=i§. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus, 4, 6, 8,... | |
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