 | Euclides - 1846 - 292 sider
...Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity. iv. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. v. The first of four magnitudes is said to have the same ratio to the second, which the third has to... | |
 | Euclides - 1846 - 272 sider
...less. 3. Ratio is a mutual relation of two magnitudes of the same kind, in respect of quantity. 4. Magnitudes are said to have a ratio to one another,...when the less can be multiplied so as to exceed the greater. 5. Magnitudes are said to be in the same ratio, the first to the second, and the third to... | |
 | Euclides - 1848 - 52 sider
...Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity. IV. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to... | |
 | Euclides - 1853 - 176 sider
...Batió is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity. IV. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. V. The first of four magnitudes is said to have the same ratio to the second which the third has to... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity.' 4. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. 5. The first of four magnitudes is said to have the same ratio to the second which the third has to... | |
 | Euclides - 1855 - 230 sider
...5, namely 3, 0 0 which is the measure of the ratio of the two quantities represented by a and b. 4. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. 5. The first of four magnitudes is said to have the same ratio to the second, which the third has to... | |
 | John Playfair - 1855 - 340 sider
...equal ratios. DEF. IV. This definition is a little altered in the expression; Euclid has it, tha. ' magnitudes are said to have a ratio to one another, when the loss can be " multiplied so as to exceed the greater." DEF. V. One of the chief obstacles to the ready... | |
 | Robert Potts - 1860 - 380 sider
...Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity." IV. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to... | |
 | Eucleides - 1860 - 396 sider
...by 5, namely 3, which is the measure of the ratio of the two quantities ropresented by o and 6. 4. Magnitudes are said to have a ratio to one another,...less can be multiplied so as to exceed the other. 5. The first of four magnitudes is said to have the same ratio to the second, which the third has to... | |
 | Euclides - 1861 - 464 sider
...the order of its two terms ; as, instead of A : B, or 5 : 6, making the ratio B : A; в : 5 or £. IV. — Magnitudes are said to have a ratio to one...less can be multiplied so as to exceed the other. "Magnitudes are said to have a ratio to one another, which are able on being multiplied to exceed one... | |
| |
Magnitudes are said to have a ratio to one another, when the less can be multiplied so as to exceed the other. 
