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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Spherical_trigonometry</id>
		<title>Spherical trigonometry - Revision history</title>
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		<updated>2026-10-23T10:41:03Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.karljones.com/index.php?title=Spherical_trigonometry&amp;diff=12854&amp;oldid=prev</id>
		<title>Karl Jones: /* External links */</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Spherical_trigonometry&amp;diff=12854&amp;oldid=prev"/>
				<updated>2016-04-22T22:36:29Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;External links&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 22:36, 22 April 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 26:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==&amp;#160; External links ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==&amp;#160; External links ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://en.wikipedia.org/wiki/Spherical_trigonometry Spherical trigonometry @ Wikipedia&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://en.wikipedia.org/wiki/Spherical_trigonometry Spherical trigonometry&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;] &lt;/ins&gt;@ Wikipedia&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Geometry]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Geometry]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Mathematics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Karl Jones</name></author>	</entry>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Spherical_trigonometry&amp;diff=9986&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;'''Spherical trigonometry''' is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Spherical_trigonometry&amp;diff=9986&amp;oldid=prev"/>
				<updated>2016-03-21T10:06:24Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Spherical trigonometry&amp;#039;&amp;#039;&amp;#039; is the branch of &lt;a href=&quot;/index.php?title=Spherical_geometry&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Spherical geometry (page does not exist)&quot;&gt;spherical geometry&lt;/a&gt; that deals with the relationships between trigonometric functions of the sides and angles of the spherical...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Spherical trigonometry''' is the branch of [[spherical geometry]] that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the [[sphere]].&lt;br /&gt;
&lt;br /&gt;
== Applications ==&lt;br /&gt;
&lt;br /&gt;
Spherical trigonometry is of great importance for calculations in [[astronomy]], [[geodesy]] and [[navigation]].&lt;br /&gt;
&lt;br /&gt;
== Origins ==&lt;br /&gt;
&lt;br /&gt;
The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam.&lt;br /&gt;
&lt;br /&gt;
== Modern ==&lt;br /&gt;
&lt;br /&gt;
The subject came to fruition in Early Modern times with important developments by [[John Napier]], Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's text book Spherical trigonometry for the use of colleges and Schools.&lt;br /&gt;
&lt;br /&gt;
This book is now readily available on the web.&lt;br /&gt;
&lt;br /&gt;
The only significant developments since then have been the application of vector methods for the derivation of the theorems and the use of computers to carry through lengthy calculations.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Geometry]]&lt;br /&gt;
* [[Mathematics]]&lt;br /&gt;
* [[Sphere]]&lt;br /&gt;
* [[Spherical geometry]]&lt;br /&gt;
&lt;br /&gt;
==  External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Spherical_trigonometry Spherical trigonometry @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
[[Category:Geometry]]&lt;br /&gt;
[[Category:Mathematics]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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