| Isaac Dalby - Mathematics - 1807 - 476 pages
...multiplication, and the quotients in division, are obtained by means of addition and subtraction only. 155. Or, Logarithms are a series of numbers in arithmetical...progression corresponding to another series of numbers in gcor metrical progression. Thus if 1 be the first term of a geometrical progression, and 2 the ratio... | |
| Isaac Dalby - Mathematics - 1807 - 968 pages
...•re obtained by means of addition and subtraction only. 1 55. Or, Logarithms arc a scries of number* in arithmetical progression corresponding to another series of numbers in geometrical progression. • i Thus if 1 be the first term of a geometrical progression, ami t the ratio or multiplier, the... | |
| Robert Gibson - Surveying - 1811 - 580 pages
...; and tl>e operation of division may be done by subtraction. Or, — Logarithms are the indices, or series of numbers in arithmetical progression, corresponding...series of numbers in geometrical progression. Thus, . 0,1,2,3, 4, 5, 6, &c. Indices or Logarithms. 1 , 2, 4, 8, 1 6, 32, 64, &c. Geometrical progression.... | |
| Robert Gibson - Surveying - 1814 - 558 pages
...; and the operation of division may be done by subtraction. Or, — Logarithms are the indices, or series of numbers in arithmetical progression, corresponding...series of numbers in geometrical progression. Thus, • (0,1,2,3, 4, 5, 6, &c. Indices or Logarithms. ( 1, 2, 4, 8, 16, 32, 64, &c. Geometrical progression.... | |
| James Maginness - Arithmetic - 1821 - 378 pages
...addition; and the operation of division jnay be done by subtraction. Or, logarithms ars the indices, or series of numbers in arithmetical progression, corresponding...series of numbers in geometrical progression. Thus: {O, 1, 2, 3, .,4, 5, 6, &c. Indices, or logarithms. 1, 2, 4, 8, 16, S2, 64, &c. Geom. progression.... | |
| William Ritchie - Calculus - 1836 - 198 pages
...— ; 2. Required the developement of ,/ a2 + SECTION II. NATURE AND PROPERTIES OF LOGARITHMS. (1.) Logarithms are a series of numbers in arithmetical progression corresponding to another series in geometrical progression. Thus, 0, 1,2,3,4, 5, 6 1, 10, 100, 1000, 10000, 100000, 1000000. The logarithm... | |
| 1839
...subject too frequently surrounded vrith a mist of obstruscness impenetrable to the uninitiated : " Logarithms are a series of numbers in arithmetical...series of numbers in geometrical progression: thus — 01234 S 6 7 8 1 2 4 8 16 32 64 128 256 where the indices 0, 1,2, 3, &c. in the arithmetical series,... | |
| John Gregory - 1842 - 328 pages
...multiplication, and the quotients in division, are obtained by means of addition and subtraction only. Or, Logarithms are a series of numbers in arithmetical progression, corresponding to another series in geometrical progression, the arithmetical series being the indices or powers of a given quantity,... | |
| Thomas Kentish - Geometrical drawing - 1852 - 258 pages
...chief merit, however, is due to Gunter, for hundreds can improve where only one can invent. LOGARITHMS. LOGARITHMS are a series of numbers in arithmetical...numbers in geometrical progression : thus — 0123456 7 8 1 2 4 8 16 32 64 128 256 where the indices 0, 1, 2, 3, &c. m the arithmetical series are the logarithms... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...of logarithms. NATUKE AND PKOPERTEES OF LOGARITHMS. 138. We have already seen in the Arithmetic that logarithms are a series of numbers in arithmetical progression corresponding to another series in geometrical progression. Thus in the two series 0, 1, 2, 3, 4, 5, 6, etc. 1, 10, 100, 1000, 10000,... | |
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