 | Leonhard Euler - 1821 - 380 páginas
...denoted by the divisor ; without this it can only be indicated by supposing, a unit of the dividend to be divided into as many parts as there are units, in the divisor, and so many of these parts, as there are units in the remainder, taken to complete the quotient... | |
 | Silvestre François Lacroix - 1821 - 160 páginas
...denoted by the divisor ; without this it can only be indicated by supposing, a unit of the dividend to be divided into as many parts as there are units in the divisor, and so many of these parts, (is there are units in the remainder, taken to complete the quotient... | |
 | Bézout - 1825 - 258 páginas
...another point of view : we can consider the numerator as representing a certain quantity which ought to be divided into as many parts as there are units in the denominator. For example, in f , we may consider 4 as representing any four things whatsoever, 4 pounds,... | |
 | Silvestre François Lacroix - 1825 - 404 páginas
...denoted by the divisor ; without this it can only be indicated by supposing, a unit of the dividend lo be divided into as many parts as there are units in the divisor, and so many of these parts, as there are units in the remainder, taken lo complete the quotient... | |
 | 1831 - 794 páginas
...represented bv the solid of 100,000 ; and if this solid be supposed to be divided by the solid oflO, or more intelligibly perhaps to the pupil, be divided...parts as there are units in the solid of 10, one of those parts will equal the solid denoting 100,000.' At the same time, a drawing of another arithmetical... | |
 | James Thomson - 1844 - 328 páginas
...result by N, we get £|= N ^-. Hence, it appears, that, in case, of any fraction, if a unit or integer be divided into as many parts as there are units in the denominator, the fraction expresses as many of these parts as there are units in the numerator.* 73.... | |
 | James Thomson - 1845 - 328 páginas
...the result by N, we get S=N i. Hence, it appears, that, in case of any fraction, if a unit or integer be divided into as many parts as there are units in the denominator, the fraction expresses as many of these parts as there are units in the numerator.* 73.... | |
 | James Elliot - 1852 - 106 páginas
...OF SURFACES. PROBLEM I. Demonstration of the Rule. In the case of the rectangle, let the longer side be divided into as many parts as there are units in the length, and the shorter side into as many parts as there are units in the breadth. Then, through the... | |
 | Standish Grove Grady - 1869 - 376 páginas
...series — When a fourth, the extractor is twelve — When an eighth it is twenty-four —The estate to be divided into as many parts as there are units in the extractor. Method of Extracting Shares— Shares divisible into two Series. — We have seen (ante,... | |
 | James Elliot - 1879 - 118 páginas
...or roods, reduce it first into one which has. DEM. In the case of the rectangk, let the longer side be divided into as many parts as there are units in the length, and the shorter side into as many parts as there are units in the breadth. Then, through the... | |
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In general, when we have occasion to consider quantities less than unity, we suppose unity divided into a certain number of parts, sufficiently small to be contained a certain number... 