Transactions of the Royal Society of Edinburgh Volume 21 epub
Transactions of the Royal Society of Edinburgh Volume 21 epub

Transactions of the Royal Society of Edinburgh Volume 21 by Royal Society
Transactions of the Royal Society of Edinburgh Volume 21
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Author: Royal Society
Page Count: 286 pages
Published Date: 01 May 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
ISBN: 9781236106810
File size: 36 Mb
Download Link: Transactions of the Royal Society of Edinburgh Volume 21
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1857 Excerpt: ...If errors occur in the values of alone. Let = 90"- t, = 90-, Then supposing 9 to have its correct value and putting e2 for the error in seconds in the value of the observed declination, e = sin a sin g sin (g, + &) sin -Q. sin 1" cos, cos 3 cos J--8S) Finally, if e be the error in declination arising from simultaneous errors in the values of (3 and since the whole error produced by imperfect inversion will generally be small, we shall have, with sufficient accuracy, e = e1 + e, 14. To give some idea of the extent of the errors which may be expected to arise from inaccurate inversion, I will assume the case of a magnet which, when accurately inverted, gives a difference of 20' in the theodolite readings; and also, that in the erect position, -4, =90 and (3=45. The following table shows the errors in declination due to imperfect inversion of such a magnet, corresponding to the tabulated errors 7 and in the values of ft and respectively, after inversion, these errors being supposed to occur separately. It thus appears that errors in /3 affect the accuracy of observations of declination much more than those in 4, a result which might have been anticipated; and also, that an error in (3 of only 2 would, in the assumed case, cause an error in the observed declination exceeding 10,"--a quantity quite appreciable in such observations. 358 MR WILLIAM SWAN ON OBSERVATIONS OF MAGNETIC DECLINATION. 15. It was originally my intention to give an example of the application of the formulae which have now been investigated, to the correction of an observation of absolute declination made by means of the magnet described in Arts. 8, and 9; but hitherto I have been unable, from want of leisure, to undertake such a s...

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