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	<title>Item:Q6147 - Revision history</title>
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	<updated>2026-04-19T19:48:46Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28129&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P333: \overrightarrow{f(P)~f(Q)} = \varphi(\overrightarrow{PQ})</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28129&amp;oldid=prev"/>
		<updated>2023-03-30T23:45:34Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P333&quot; title=&quot;‎defining formula‎ | ‎mathematical formula representing a theorem or law. Maximum length: 400 characters‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;defining formula&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P333)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: \overrightarrow{f(P)~f(Q)} = \varphi(\overrightarrow{PQ})&lt;/p&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 08:45, 31 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P333&quot; href=&quot;/wiki/Property:P333&quot;&gt;defining formula&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&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;&lt;span&gt;&lt;h4 class=&quot;wb-details wb-math-details wb-math-rendered&quot;&gt;&lt;span class=&quot;mwe-math-element&quot;&gt;&lt;span class=&quot;mwe-math-mathml-inline mwe-math-mathml-a11y&quot; style=&quot;display: none;&quot;&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;  alttext=&quot;{\displaystyle {\overrightarrow {f(P)~f(Q)}}=\varphi ({\overrightarrow {PQ}})}&quot;&gt;
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              &lt;mo stretchy=&quot;false&quot;&gt;)&lt;/mo&gt;
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            &lt;mo&gt;&amp;#x2192;&lt;!-- → --&gt;&lt;/mo&gt;
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&lt;/math&gt;&lt;/span&gt;&lt;img src=&quot;https://wikimedia.org/api/rest_v1/media/math/render/svg/dd400d1a8f42fe52e5fcad7b701f50fc82b1edff&quot; class=&quot;mwe-math-fallback-image-inline mw-invert skin-invert&quot; aria-hidden=&quot;true&quot; style=&quot;vertical-align: -0.838ex; margin-top: -0.46ex; width:20.612ex; height:4.509ex;&quot; alt=&quot;{\displaystyle {\overrightarrow {f(P)~f(Q)}}=\varphi ({\overrightarrow {PQ}})}&quot;&gt;&lt;/span&gt;&lt;/h4&gt;&lt;div class=&quot;wb-details wb-math-details&quot;&gt;&lt;code&gt;\overrightarrow{f(P)~f(Q)} = \varphi(\overrightarrow{PQ})&lt;/code&gt;&lt;/div&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P333&quot; href=&quot;/wiki/Property:P333&quot;&gt;defining formula&lt;/a&gt;: &lt;span class=&quot;mwe-math-element&quot;&gt;&lt;span class=&quot;mwe-math-mathml-inline mwe-math-mathml-a11y&quot; style=&quot;display: none;&quot;&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;  alttext=&quot;{\displaystyle {\overrightarrow {f(P)~f(Q)}}=\varphi ({\overrightarrow {PQ}})}&quot;&gt;
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    &lt;annotation encoding=&quot;application/x-tex&quot;&gt;{\displaystyle {\overrightarrow {f(P)~f(Q)}}=\varphi ({\overrightarrow {PQ}})}&lt;/annotation&gt;
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&lt;/math&gt;&lt;/span&gt;&lt;img src=&quot;https://wikimedia.org/api/rest_v1/media/math/render/svg/dd400d1a8f42fe52e5fcad7b701f50fc82b1edff&quot; class=&quot;mwe-math-fallback-image-inline mw-invert skin-invert&quot; aria-hidden=&quot;true&quot; style=&quot;vertical-align: -0.838ex; margin-top: -0.46ex; width:20.612ex; height:4.509ex;&quot; alt=&quot;{\displaystyle {\overrightarrow {f(P)~f(Q)}}=\varphi ({\overrightarrow {PQ}})}&quot;&gt;&lt;/span&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&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;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28128&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q6148</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28128&amp;oldid=prev"/>
		<updated>2023-03-30T23:45:19Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎subclass of‎ | ‎this item is a subclass (subset) of that item; all instances of these items are instances of those items; different from P2 (instance of), e.g.: K2 is an instance of mountain; volcano is a subclass of mountain (and an instance of volcanic landform).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q6148&quot; title=&quot;‎projective geometry‎ | ‎type of geometry‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;projective geometry&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q6148)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&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 08:45, 31 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&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;&lt;span&gt;&lt;a title=&quot;Item:Q6148&quot; href=&quot;/wiki/Item:Q6148&quot;&gt;projective geometry&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q6148&quot; href=&quot;/wiki/Item:Q6148&quot;&gt;projective geometry&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&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;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28124&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P2: Item:Q3409</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28124&amp;oldid=prev"/>
		<updated>2023-03-30T23:44:11Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P2&quot; title=&quot;‎instance of‎ | ‎that class of which this subject is a particular example and member; different from P1 (subclass of); for example: K2 is an instance of mountain; volcano is a subclass of mountain (and an instance of volcanic landform)‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;instance of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P2)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q3409&quot; title=&quot;‎coordinates transformation‎ | ‎bijection of a set having some geometric structure to itself or another such set‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;coordinates transformation&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q3409)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&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 08:44, 31 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P2&quot; href=&quot;/wiki/Property:P2&quot;&gt;instance of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&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;&lt;span&gt;&lt;a title=&quot;Item:Q3409&quot; href=&quot;/wiki/Item:Q3409&quot;&gt;coordinates transformation&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P2&quot; href=&quot;/wiki/Property:P2&quot;&gt;instance of&lt;/a&gt;: &lt;a title=&quot;Item:Q3409&quot; href=&quot;/wiki/Item:Q3409&quot;&gt;coordinates transformation&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&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;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28123&amp;oldid=prev</id>
		<title>Fire: /* wbeditentity-create:2|en */ affine transformation, Geometric transformation that preserves lines but not angles nor the origin</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;diff=28123&amp;oldid=prev"/>
		<updated>2023-03-30T23:43:54Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created a new Item: &lt;/span&gt;&lt;/span&gt; affine transformation, Geometric transformation that preserves lines but not angles nor the origin&lt;/p&gt;
&lt;a href=&quot;https://wiki.tiffa.net/w/index.php?title=Item:Q6147&amp;amp;diff=28123&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
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