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" LOGARITHMS are a series of numbers in arithmetical progression, corresponding to another series of numbers in geometrical progression : thus... "
The gauger's guide and measurer's manual - Page 2
by Thomas Kentish (of London.) - 1861
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

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...
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A Course of Mathematics: Designed for the Use of the Officers ..., Volumes 1-2

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...
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The Theory and Practice of Surveying: Containing All the Instructions ...

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....
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The Theory and Practice of Surveying: Containing All the Instructions ...

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....
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A New, Copious and Complete System of Arithmetic: For the Use of Schools and ...

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....
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Principles of the Differential and Integral Calculus ...

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...
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The Mechanic and Chemist: A Magazine of the Arts and Sciences, Volume 4

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,...
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Course of Civil Engineering: Comprising Plane Trigonometry, Surveying, and ...

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,...
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A Treatise on a Box of Instruments and the Slide-rule: For the Use of ...

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...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

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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