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" Although the mantissae are only given in the Tables for sequences of five figures, yet they may be readily found for sequences of six or seven figures by the following considerations. "
Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ... - Page 111
de John William Colenso (bp. of Natal.) - 1851
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The elements of algebra, Volume 2

John William Colenso (bp. of Natal.) - 1849 - 250 pages
...this change begins, if it happen not to be at the beginning of a line. 114. Although the mantissœ are only given in the Tables for sequences of five...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...
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A Treatise on Algebra: By Charles Smith

Charles Smith - 1888 - 680 pages
...number have more significant figures than are given in the tables, use must be 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 logarithms. This follows at once...
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An Academic Algebra

James Morford Taylor - 1893 - 358 pages
...4273.2. When the number contains more than three significant figures, use must be 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 logarithms. That is, an increase...
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Elementary Algebra for the Use of Preparatory Schools

Charles Smith - 1894 - 620 pages
...number have more significant figures thau are given in the tables, use must be 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 logarithms. An example will show...
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Essentials of Algebra: Complete Course (an Adequate Preparation for the ...

John Charles Stone, James Franklin Millis - 1905 - 776 pages
....91=1.9590. (¿>) 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 logarithms. EXAMPLE 3. Find log...
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A Secondary Arithmetic

John Charles Stone - 1908 - 266 pages
...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 is small compared with either of them, the difference of the numbers is approximately proportional to the difference of their logarithms. EXAMPLE 3. Find log...
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Elementary Algebra: first course

John Charles Stone, James Franklin Millis - 1911 - 698 pages
...= 1.9590. (6) 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 logarithms. EXAMPLE 3. — Find...
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