 When the given number contains more than three figures, use is made of the principle that when the difference of two numbers is small compared with either of them, the difference of the numbers is approximately proportional to the difference of their...  Elementary Algebra: first course - Page 233by John Charles Stone, James Franklin Millis - 1911 - 361 pagesFull view - About this book
 | John William Colenso (bp. of Natal.) - 1849 - 250 pages
...for sequences of six or seven figures by the following considerations. It will be shewn hereafter, that when the difference of two numbers is small compared with either of them, the diff. of their logs, is very nearly proportional to the diff. of the numbers. Now let m, m+D, be the... | |
 | John William Colenso (bp. of Natal.) - 1851 - 148 pages
...for sequences of six or seven figures by the following considerations. It will be shewn hereafter, that, when the difference of two numbers is small compared with either of them, the difference of their logarithms is very nearly proportional to the difference of the numbers. Now let wi, m + Z>,... | |
 | Charles Smith - Algebra - 1888 - 680 pages
...tables. But, if the number have more significant figures than are given in the tables, use must be made of the principle that when the difference of...proportional to the difference of their logarithms. This follows at once from Art. 304, for / « ™2 \ IT IT = И- (y-- \ jyï + ..... J = t* y- approximately,... | |
 | James Morford Taylor - Algebra - 1893 - 358 pages
...0.8949. (2) To find log 4273.2. When the number contains more than three significant figures, use must be made of the principle that when the difference of...proportional to the difference of their logarithms. That is, an increase of 1 in the number causes an increase of .0010 in the mantissa; hence au increase... | |
 | Charles Smith - Algebra - 1894 - 620 pages
...the tables, But if the number have more significant figures thau are given in the tables, use must be made of the principle that when the difference of...proportional to the difference of their logarithms. An example will show how the above principle, called the Principal of Proportional Differences, is... | |
 | John Charles Stone, James Franklin Millis - Algebra - 1905 - 776 pages
...910. This is opposite 91 in the column headed 0, and is seen to be .9590. Hence, log .91=1.9590. (¿>) When the given number contains more than three figures,...mantissa of log 285=. 4548. Subtracting, .4548— .4533=. 0015. Hence, an increase of 1 in 284 causes an increase of .0015 in the corresponding mantissa. Therefore,... | |
 | John Charles Stone - Business mathematics - 1908 - 266 pages
....9494. Hence, log .089 = 8.9494 - 10. II. When the given number contains more than three figures, use the principle that when the difference of two numbers...difference of their logarithms. EXAMPLE 3. Find log 6.3172. The characteristic is 0. The required mantissa is the same as that of log 631.72. Now 631.72... | |
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