Difference between revisions of ".Mzcw.NzE5OA"
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| − | for 1:1/2 | + | for 1:1/2::1/2:1/4. It being clear that, if the multiplier |
| + | be half of unity, the product must | ||
| + | be one half of the multiplicand. But | ||
| + | this is 1/2, the half of which is 1/4, which is | ||
| + | therefore the true product. And the like | ||
| + | will be evident in other cases. | ||
| + | In division on the contrary, the divisor is to | ||
| + | unity as the dividend is to the quotient; | ||
| + | because the quotient multiplied by the | ||
| + | divisor must be equal to the dividend, | ||
| + | which is the same as the product of unity | ||
| + | into the dividend. Hence if the divisor | ||
| + | be less than unity, the dividend will | ||
| + | be less than the quotient. Therefore to | ||
| + | divide for instance 1/3 by 1/2, the quotient | ||
| + | by the rule will 2/3, and this is very evident | ||
| + | from the consideration of proportion. | ||
| + | For the divisor 1/2 is to 1 as the dividend | ||
Latest revision as of 18:59, 11 August 2018
(20) for 1:1/2::1/2:1/4. It being clear that, if the multiplier be half of unity, the product must be one half of the multiplicand. But this is 1/2, the half of which is 1/4, which is therefore the true product. And the like will be evident in other cases. In division on the contrary, the divisor is to unity as the dividend is to the quotient; because the quotient multiplied by the divisor must be equal to the dividend, which is the same as the product of unity into the dividend. Hence if the divisor be less than unity, the dividend will be less than the quotient. Therefore to divide for instance 1/3 by 1/2, the quotient by the rule will 2/3, and this is very evident from the consideration of proportion. For the divisor 1/2 is to 1 as the dividend
