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	<title>Page:Organum mathematicum libris IX. explicatum (1668).djvu/211 - Revision history</title>
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	<updated>2026-04-23T10:00:50Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/211&amp;diff=90725&amp;oldid=prev</id>
		<title>ArchivesPUG: /* top */added Template:TurnPage, replaced: &lt;references/&gt; → &lt;references/&gt; {{TurnPage}}</title>
		<link rel="alternate" type="text/html" href="https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/211&amp;diff=90725&amp;oldid=prev"/>
		<updated>2020-05-06T14:41:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;top: &lt;/span&gt;added &lt;a href=&quot;/mediawiki/index.php/Template:TurnPage&quot; title=&quot;Template:TurnPage&quot;&gt;Template:TurnPage&lt;/a&gt;, replaced: &amp;lt;references/&amp;gt; → &amp;lt;references/&amp;gt; {{TurnPage}}&lt;/span&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 14:41, 6 May 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&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-l11&quot; &gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; 16 septima. 20 Imperial. 2 septima. 2 &amp;lt;unclear&amp;gt;8/16&amp;lt;/unclear&amp;gt; Imperial.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; 16 septima. 20 Imperial. 2 septima. 2 &amp;lt;unclear&amp;gt;8/16&amp;lt;/unclear&amp;gt; Imperial.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; EXEMPLUM IX. ARITHMETICUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; EXEMPLUM IX. ARITHMETICUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;Limax invitaur ab hirundine ad prandium loco distante integro&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt;&amp;lt;/noinclude&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;Limax invitaur ab hirundine ad prandium loco distante integro&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{TurnPage}}&lt;/ins&gt;&amp;lt;/noinclude&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;td class='diff-marker'&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;/td&gt;&lt;/tr&gt;

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		<author><name>ArchivesPUG</name></author>
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	<entry>
		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/211&amp;diff=70624&amp;oldid=prev</id>
		<title>ArchivesPUG: /* top */clean up</title>
		<link rel="alternate" type="text/html" href="https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/211&amp;diff=70624&amp;oldid=prev"/>
		<updated>2020-02-14T09:46:15Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;top: &lt;/span&gt;clean up&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&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 09:46, 14 February 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Page body (to be transcluded):&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-l11&quot; &gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; 16 septima. 20 Imperial. 2 septima. 2 &amp;lt;unclear&amp;gt;8/16&amp;lt;/unclear&amp;gt; Imperial.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; 16 septima. 20 Imperial. 2 septima. 2 &amp;lt;unclear&amp;gt;8/16&amp;lt;/unclear&amp;gt; Imperial.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; EXEMPLUM IX. ARITHMETICUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;lt;center&amp;gt; EXEMPLUM IX. ARITHMETICUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&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;Limax invitaur ab hirundine ad prandium loco distante integro&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;Limax invitaur ab hirundine ad prandium loco distante integro&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt;&amp;lt;/noinclude&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&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 class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:AKC Works pages]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&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 class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:AKC Pages]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&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 class=&quot;diffchange diffchange-inline&quot;&gt;[[Category:Organum mathematicum (1668)]]&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;Footer (noinclude):&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Footer (noinclude):&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 class='diff-marker'&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 class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;references/&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&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;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>ArchivesPUG</name></author>
	</entry>
	<entry>
		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/211&amp;diff=69176&amp;oldid=prev</id>
		<title>Ginevra Crosignani: /* Not proofread */ Created page with &quot;EXEMPLUM VI. MERCATORIUM.&lt;/center&gt;&lt;br&gt; Imperiales 5 faciunt florenos Franconicos 6; quaeritur, quot florenos faciant Imperiales 100. Dic: 5 Imper. dant florenos 6; 100 Imper....&quot;</title>
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		<updated>2020-02-05T20:04:42Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Not proofread: &lt;/span&gt; Created page with &amp;quot;EXEMPLUM VI. MERCATORIUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt; Imperiales 5 faciunt florenos Franconicos 6; quaeritur, quot florenos faciant Imperiales 100. Dic: 5 Imper. dant florenos 6; 100 Imper....&amp;quot;&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;noinclude&amp;gt;&amp;lt;pagequality level=&amp;quot;1&amp;quot; user=&amp;quot;Crosignani Ginevra&amp;quot; /&amp;gt;&amp;lt;/noinclude&amp;gt;EXEMPLUM VI. MERCATORIUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Imperiales 5 faciunt florenos Franconicos 6; quaeritur, quot florenos faciant Imperiales 100. Dic:&lt;br /&gt;
5 Imper. dant florenos 6; 100 Imper. quot flor. Facr. 120. &lt;br /&gt;
&amp;lt;center&amp;gt; EXEMPLUM VII. MERCATORIUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Librae 100, quadrantes 3, unciae 2 pulveris emptae fuerunt florenis Rhenanis 25, crucigeris 30; quaeritur, quot librae seu centenaria pulverise mi possint florenis 100. Hic librae pulveris reduci debent ad quadrantes, multiplicando 100 per 4, et productae summae addendo 3, ut fiant quadrantes 403: et hi iterum reducendi sunt ad uncias, multiplicando eosdem quadrantes per 4, et summae addendo 2, ut fiant unciae pulveris 1614. Praeterea floreni reduci debent ad crucigeros, multiplicando 25 per 60, er summae productae addendo 30, ut fiant crucigeri 1530. Similter 100 floreni reduci debent ad 6000 crucigerorum, multiplicando florenos per 60. His factis, sic collocxari debent numeri.  &lt;br /&gt;
&amp;lt;center&amp;gt; 1530 crucugeri dant 1614 uncias pulveris; quid dant crucugeri 6000 ? &amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Multiplicando secondo numero per tertium, habebis 9684000: his divisis per primum, habebis 6329 &amp;lt;unclear&amp;gt;630/1530&amp;lt;/unclear&amp;gt; uncias pulveris: quae reductae libras (dividendo scilicet 6329, omissa fractione, quae minus est quam una uncia, per 16) habebis libras 395 &amp;lt;unclear&amp;gt;9/16&amp;lt;/unclear&amp;gt;, id est,  tres centenarios pulveris, et insuper libras 95, et Paulo amplius quam dimidiam:&amp;lt;br&amp;gt;&lt;br /&gt;
Ex hoc exemplo apparet, quomodo in similibus exemplis ac quaestionibus procedendum sit.&lt;br /&gt;
&amp;lt;center&amp;gt; EXEMPLUM VIII. OECONOMICUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Quatuor mensium spatio indigeo in sumptus necessaries 20 Imperialibus; quot Imperialibus indigeo pro duabus septimanis? Reduc menses quatuor ad septimanas 16, et sic colloca numeros, et operare juxta Regulam Trium:&lt;br /&gt;
&amp;lt;center&amp;gt; 16 septima. 20 Imperial. 2 septima. 2 &amp;lt;unclear&amp;gt;8/16&amp;lt;/unclear&amp;gt; Imperial.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;center&amp;gt; EXEMPLUM IX. ARITHMETICUM.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Limax invitaur ab hirundine ad prandium loco distante integro&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt;&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ginevra Crosignani</name></author>
	</entry>
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