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" ... alone. Now the errors of observation, when numerous, tend to balance and destroy one another: so that, if sufficiently multiplied, their influence will disappear from the result. There remains, then, only the constant error of graduation, which comes... "
Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ... - Page 58
by Sir J. Butler Williams - 1846 - 330 pages
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Astronomy

sir John Frederick W. Herschel (1st bart.) - 1833 - 500 pages
...destroy one another ; so that, if sufficiently multiplied, their influence will disappear from the result. There remains, then, only the constant error...observations, and is therefore diminished in its influence to one tenth of its possible amount, or to less if need be. The abstract beauty and advantage of this...
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Astronomy

Sir John Frederick William Herschel - Astronomy - 1833 - 444 pages
...destroy one another ; so that, if sufficiently multiplied, their influence will disappear from the result. There remains, then, only the constant error...observations, and is therefore diminished in its influence to one tenth of its possible amount, or to less if need be. The abstract beauty and advantage of this...
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Outlines of Astronomy

John Frederick William Herschel - Astronomy - 1849 - 672 pages
...and destroy one another; so that, if sufficiently multiplied, their influence will disappear from the result. There remains, then, only the constant error...observations, and is therefore diminished in its influence to one tenth of its possible amount, or to less if need be. The abstract beauty and advantage of this...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...that, if sufficiently multiplied, their influence will disappear from the result. " There remain», then, only the constant error of graduation, which...one-tenth of its possible amount, or to less, if need be." CIRCULAR NUMBERS. Л name sometimes given to numbers whose powers terminate with the numbers themselves,...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...and destroy each other, so that, if BumVicntly multiplied, their influence will disappear from the result. " There remains, then, only the constant error of graduation, which comes to be diviparte. 2. The tine of tin: middle part is cyital to Ike product of Ihr cosines of the nppoiite...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...and destroy each other, so that, if sufficiently multiplied, their influence will disappear from the result. " There remains, then, only the constant error of graduation, which comes to bo divided in the final result by the number of observations, and is therefore diminished in its influence...
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Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1859 - 622 pages
...the result. "There remains, then, only the constant error of graduation, which comes to be dividid in the final result by the number of observations,...one-tenth of its possible amount, or to less, if need be " 1. The sine of the middle part ч equal to the products of the tangents of the adjacent parts. 2....
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1865 - 592 pages
...multiplied, their influence will diuppear from the result. "There remains, then, only the constant "ror of graduation, which comes to be divided in the final...influence to one-tenth of its possible amount, or to le«i. if need be." ' i*'Ti.»R NUMBERS. A name sometimes pven to numbers whose powers terminate ]...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...destroy one another : so that, if sufficiently multiplied, their influence will disappear from the result. There remains, then, only the constant error...one-tenth of its possible amount, or to less if need bo." ('Astronomy,' Cabinet Cyclopeedia, p. 105.) When the repeating circle is used for measuring zenith...
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Outlines of Astronomy: By Sir John F. W. Herschel, Part 1

Sir John Frederick William Herschel - Astronomy - 1902 - 478 pages
...and destroy one another: so that, if sufficiently multiplied, their influence will disappear from the result. There remains, then, only the constant error...The abstract beauty and advantage of this principle seem to be counterbalanced in practice by some unknown cause, which, probably, must be sought for in...
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