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	<id>https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=On_Physical_Lines_of_Force%2FRendering_test</id>
	<title>On Physical Lines of Force/Rendering test - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=On_Physical_Lines_of_Force%2FRendering_test"/>
	<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;action=history"/>
	<updated>2026-10-21T19:16:06Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.46.2</generator>
	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;diff=808&amp;oldid=prev</id>
		<title>BFP Rauch: Add DISPLAYTITLE: title the page by its section rather than its path</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;diff=808&amp;oldid=prev"/>
		<updated>2026-09-16T04:47:45Z</updated>

		<summary type="html">&lt;p&gt;Add DISPLAYTITLE: title the page by its section rather than its path&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:47, 16 September 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{DISPLAYTITLE:On Physical Lines of Force — Rendering test}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;[[On Physical Lines of Force]] → Rendering test&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;[[On Physical Lines of Force]] → Rendering test&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l74&quot;&gt;Line 74:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 75:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;[[On Physical Lines of Force|Back to the contents]]&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;[[On Physical Lines of Force|Back to the contents]]&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;diff=133&amp;oldid=prev</id>
		<title>BFP Rauch: 1 revision imported: Maxwell, On Physical Lines of Force — initial import</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;diff=133&amp;oldid=prev"/>
		<updated>2026-09-02T05:51:37Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported: Maxwell, On Physical Lines of Force — initial import&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 05:51, 2 September 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;diff=132&amp;oldid=prev</id>
		<title>opl&gt;Import: Imported from the DokuWiki edition</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=On_Physical_Lines_of_Force/Rendering_test&amp;diff=132&amp;oldid=prev"/>
		<updated>2026-09-02T05:13:06Z</updated>

		<summary type="html">&lt;p&gt;Imported from the DokuWiki edition&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;#039;&amp;#039;[[On Physical Lines of Force]] → Rendering test&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
A page for checking that this MediaWiki installation renders the wiki correctly. &amp;#039;&amp;#039;&amp;#039;If everything below looks right, the import is complete.&amp;#039;&amp;#039;&amp;#039; Delete this page once you are satisfied — it is the only page nothing links to.&lt;br /&gt;
&lt;br /&gt;
== 1. Inline mathematics ==&lt;br /&gt;
&lt;br /&gt;
Written as &amp;lt;code&amp;gt;&amp;amp;lt;math&amp;amp;gt; ... &amp;amp;lt;/math&amp;amp;gt;&amp;lt;/code&amp;gt;. The magnetic force has components &amp;lt;math&amp;gt;\alpha, \beta, \gamma&amp;lt;/math&amp;gt;, the current components are &amp;lt;math&amp;gt;p, q, r&amp;lt;/math&amp;gt;, and the permeability is &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;. A fraction inline looks like &amp;lt;math&amp;gt;\frac{d\gamma}{dy}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
== 2. Displayed mathematics ==&lt;br /&gt;
&lt;br /&gt;
Written as &amp;lt;code&amp;gt;&amp;amp;lt;math display=&amp;quot;block&amp;quot;&amp;amp;gt; ... &amp;amp;lt;/math&amp;amp;gt;&amp;lt;/code&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math display=&amp;quot;block&amp;quot;&amp;gt;\nabla\times\mathbf{E} = -\frac{\partial\mathbf{B}}{\partial t}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== 3. Numbered equations ==&lt;br /&gt;
&lt;br /&gt;
texvc rejects &amp;lt;code&amp;gt;\tag&amp;lt;/code&amp;gt;, so equation numbers are set inside the maths with &amp;lt;code&amp;gt;\qquad\qquad\mathrm{(54)}&amp;lt;/code&amp;gt;. Every numbered equation in this wiki uses that form.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math display=&amp;quot;block&amp;quot;&amp;gt;\frac{d(\mu\alpha)}{dt} = \frac{dQ}{dz}-\frac{dR}{dy} \qquad\qquad\mathrm{(54)}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== 4. Multi-line alignment ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math display=&amp;quot;block&amp;quot;&amp;gt;\begin{aligned} \nabla\cdot\mathbf{D} &amp;amp;= \rho \\ \nabla\cdot\mathbf{B} &amp;amp;= 0 \\ \nabla\times\mathbf{E} &amp;amp;= -\frac{\partial\mathbf{B}}{\partial t} \\ \nabla\times\mathbf{H} &amp;amp;= \mathbf{J} + \frac{\partial\mathbf{D}}{\partial t} \end{aligned}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== 5. Underbraces ==&lt;br /&gt;
&lt;br /&gt;
Used on [[On Physical Lines of Force/Part I/Prop. III|Prop. III]] to label the five terms.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math display=&amp;quot;block&amp;quot;&amp;gt;X \;=\; \underbrace{\mu\gamma\,q \;-\; \mu\beta\,r}_{\text{the force on currents}} \;-\; \underbrace{\frac{d\,p_{0}}{dx}}_{\text{simple pressure}}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== 6. Mathematics in a table ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Maxwell !! modern&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;\mu\alpha, \mu\beta, \mu\gamma&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;\mathbf{B}=\mu\mathbf{H}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;p, q, r&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;\mathbf{J}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;F, G, H&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;\mathbf{A}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== 7. Mathematics in a list ==&lt;br /&gt;
&lt;br /&gt;
* the divergence: &amp;lt;math&amp;gt;\frac{d\alpha}{dx}+\frac{d\beta}{dy}+\frac{d\gamma}{dz}&amp;lt;/math&amp;gt;&lt;br /&gt;
* the curl, one component: &amp;lt;math&amp;gt;\frac{d\gamma}{dy}-\frac{d\beta}{dz}&amp;lt;/math&amp;gt;&lt;br /&gt;
* absolute values: &amp;lt;math&amp;gt;\vert\mathbf{E}\vert = c\,\vert\mathbf{B}\vert&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== 8. A figure ==&lt;br /&gt;
&lt;br /&gt;
[[File:OPL-fig-plate-fig2.svg|thumb|center|680px|Vortex cells and the particles between them]]&lt;br /&gt;
&lt;br /&gt;
== 9. Ordinary formatting ==&lt;br /&gt;
&lt;br /&gt;
This sentence has &amp;#039;&amp;#039;&amp;#039;bold&amp;#039;&amp;#039;&amp;#039;, &amp;#039;&amp;#039;italic&amp;#039;&amp;#039;, &amp;lt;u&amp;gt;underline&amp;lt;/u&amp;gt; and &amp;lt;code&amp;gt;monospace&amp;lt;/code&amp;gt; in it, followed by inline maths &amp;lt;math&amp;gt;\mu = 1&amp;lt;/math&amp;gt;, then more &amp;#039;&amp;#039;&amp;#039;bold&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;blockquote&amp;gt;&lt;br /&gt;
A block quotation, which this wiki uses for every verbatim passage from Maxwell.&lt;br /&gt;
&amp;lt;/blockquote&amp;gt;&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
== Troubleshooting ==&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Maths shows as raw markup.&amp;#039;&amp;#039;&amp;#039; The Math extension is not installed or not enabled. Install &amp;#039;&amp;#039;&amp;#039;Extension:Math&amp;#039;&amp;#039;&amp;#039;, add &amp;lt;code&amp;gt;wfLoadExtension( &amp;#039;Math&amp;#039; );&amp;lt;/code&amp;gt; to &amp;lt;code&amp;gt;LocalSettings.php&amp;lt;/code&amp;gt;, then run &amp;lt;code&amp;gt;php maintenance/update.php&amp;lt;/code&amp;gt;. All 935 equations in this wiki were validated against texvcjs — MediaWiki&amp;#039;s own TeX checker — so none should be rejected.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Figures do not display.&amp;#039;&amp;#039;&amp;#039; The 19 SVGs must be uploaded separately: an XML import carries page text only. Use &amp;lt;code&amp;gt;Special:Upload&amp;lt;/code&amp;gt;, or run &amp;lt;code&amp;gt;php maintenance/importImages.php /path/to/images&amp;lt;/code&amp;gt;. SVG uploads also need &amp;lt;code&amp;gt;$wgFileExtensions[] = &amp;#039;svg&amp;#039;;&amp;lt;/code&amp;gt; and, for rasterised thumbnails, &amp;lt;code&amp;gt;$wgSVGConverter = &amp;#039;rsvg&amp;#039;;&amp;lt;/code&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Links are red.&amp;#039;&amp;#039;&amp;#039; Every internal link points at a page title under &amp;lt;code&amp;gt;On Physical Lines of Force/&amp;lt;/code&amp;gt;. If the import was partial, re-run it. Titles are case-sensitive after the first letter.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Sub-page breadcrumbs are missing.&amp;#039;&amp;#039;&amp;#039; Optional: add &amp;lt;code&amp;gt;$wgNamespacesWithSubpages[NS_MAIN] = true;&amp;lt;/code&amp;gt; to &amp;lt;code&amp;gt;LocalSettings.php&amp;lt;/code&amp;gt; for automatic parent links.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;[[On Physical Lines of Force|Back to the contents]]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;/div&gt;</summary>
		<author><name>opl&gt;Import</name></author>
	</entry>
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