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Errata for F. W. Bessel's paper on geodesics
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<meta name="author" content="Charles F. F. Karney" />
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<h3>Errata for F. W. Bessel (1825): <i>The calculation of longitude and
latitude from geodesic measurements</i> (translated by
C. F. F. Karney and R. E. Deakin).
</h3>
<p>Errata in
<a href="https://doi.org/10.1002/asna.201011352">
Astron. Nachr. <b>331</b>(8), 852&ndash;861 (Sept. 2010)</a>:
<ul>
<li>Sec. 2, para. 1: replace &ldquo;radius of curvature
by <i>R</i>&rdquo; by &ldquo;radius of curvature
be <i>R</i>&rdquo;.
<li>Sec. 2, 4th last eq.: use the partial derivative in place of
&ldquo;d<i>U</i>/d<i>p</i>&rdquo;.
<li>Some links were omitted:
<ul>
<li>Bessel's original paper:
doi: <a href="https://doi.org/10.1002/asna.18260041601">
10.1002/asna.18260041601</a>;
facsimile:
<a href="http://adsabs.harvard.edu/full/1825AN......4..241B">
http://adsabs.harvard.edu/full/1825AN......4..241B</a>.
<li>Clairaut's paper (footnote 6):
<a href="https://books.google.com/books?id=GOAEAAAAQAAJ&pg=PA406">
https://books.google.com/books?id=GOAEAAAAQAAJ&amp;pg=PA406</a>.
<li>Legendre, <i>Exercices de Calcul Int&eacute;gral</i>, Vol 1
(footnote 14):
<a href="https://books.google.com/books?id=riIOAAAAQAAJ&printsec=titlepage">
https://books.google.com/books?id=riIOAAAAQAAJ</a>.
<li>von M&uuml;ffling's paper (footnote 21):
<a href="http://adsabs.harvard.edu/full/1823AN......2...33V">
http://adsabs.harvard.edu/full/1823AN......2...33V</a>.
</ul>
</ul>
</p>
<p>Errata in
<a href="https://arxiv.org/abs/0908.1824v2">arXiv:0908.1824v2
(Feb. 2010)</a> [these have been corrected
in <a href="https://arxiv.org/abs/0908.1824v3">arXiv:0908.1824v3,
(Mar. 2010)</a>]:
<ul>
<li>Footnote 1: the initial quotation marks on &ldquo;du
S&eacute;jour's method&rdquo; are the wrong way round.
<li>Sec. 2, para. 1: replace &ldquo;the azimuth of line
directed&rdquo; by &ldquo;the azimuth of the line
directed&rdquo;.
<li>Sec. 2, para. 1: replace &ldquo;radius of curvature
by <i>R</i>&rdquo; by &ldquo;radius of curvature
be <i>R</i>&rdquo;.
<li>Sec. 2, 4th last eq.: use the partial derivative in place of
&ldquo;<i>dU</i>/<i>dp</i>&rdquo;.
<li>Page 5, col. 2, line 2: replace &ldquo;adding the first term in the
series&rdquo; by &ldquo;adding the next term in the
series&rdquo;.
<li>Sec. 9, para. 1: replace &ldquo;Thus it not possible&rdquo;
by &ldquo;Thus it is not possible&rdquo;.
</ul>
</p>
<hr>
<address>Charles Karney
<a href="mailto:charles@karney.com">&lt;charles@karney.com&gt;</a>
(2017-09-30)</address>
<br>
<a href="https://geographiclib.sourceforge.io">
GeographicLib home
</a>
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