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	<title>Page:Organum mathematicum libris IX. explicatum (1668).djvu/275 - Revision history</title>
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	<updated>2026-04-21T01:31:26Z</updated>
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		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/275&amp;diff=92830&amp;oldid=prev</id>
		<title>Ginevra Crosignani at 16:41, 19 May 2020</title>
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		<updated>2020-05-19T16:41:33Z</updated>

		<summary type="html">&lt;p&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 16:41, 19 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-l3&quot; &gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&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;PRIMUS CASUS,&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;PRIMUS CASUS,&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;/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;
&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;&amp;lt;center&amp;gt;Quando filum perpendiculi intersecat latus&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;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;&amp;lt;center&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;Quando filum perpendiculi intersecat latus&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;&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;&amp;lt;center&amp;gt;rectum Quadrati penduli&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;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;&amp;lt;center&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;rectum Quadrati penduli&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;&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;/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;
&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;	Si cadat perpendiculum in latus rectum seu umbram rectam B C Quadrati penduli,signum est umbram realem ab altitudine F G projectam, esse minorem ipsa altitudine, uti ex dictis ac demonstratis cap. 4. constat.   Quam autem proportionem habeat umbra com altitudine, disces ex facie anteriore Tabellae primae Geometricae.    Nam si filum perpendiculi abscindat partes 2 lateris recti B C; umbra est sextuplo minor quam altitudo: si abscindat partes 3, umbra est quadruplo minor quam altitudo etc.prout in dictae Tabellae primae facie anteriore apparet. Itaque si numerum pedum aut palmorum umbrae inventum sextuplices, quadruplices, triplices etc. habebis altitudinem in pedibus, palmis, ulnis etc. prout umbram dimensus fueris pedibus, palmis, ulnis etc.&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;	Si cadat perpendiculum in latus rectum seu umbram rectam B C Quadrati penduli,signum est umbram realem ab altitudine F G projectam, esse minorem ipsa altitudine, uti ex dictis ac demonstratis cap. 4. constat.   Quam autem proportionem habeat umbra com altitudine, disces ex facie anteriore Tabellae primae Geometricae.    Nam si filum perpendiculi abscindat partes 2 lateris recti B C; umbra est sextuplo minor quam altitudo: si abscindat partes 3, umbra est quadruplo minor quam altitudo etc.prout in dictae Tabellae primae facie anteriore apparet. Itaque si numerum pedum aut palmorum umbrae inventum sextuplices, quadruplices, triplices etc. habebis altitudinem in pedibus, palmis, ulnis etc. prout umbram dimensus fueris pedibus, palmis, ulnis etc.&amp;lt;br&amp;gt;&lt;/div&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-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&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;SECUNDUS CASUS,&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;SECUNDUS CASUS,&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;/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;
&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;&amp;lt;center&amp;gt;Quando filum perpendiculi cadit in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;angulum &lt;/del&gt;Quadrati penduli&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;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;&amp;lt;center&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;Quando filum perpendiculi cadit in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;angu-''&amp;lt;/center&amp;gt;&amp;lt;br&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;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;center&amp;gt;''lum &lt;/ins&gt;Quadrati penduli&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;&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;/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;
&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;Si filum perpendiculi cadat in angulum C Quadrati penduli, seu abscindat partes 12. lateris tam recti B C, quam versi DC; umbra est aequalis altitudini, sicuti aequale est latus rectum lateri verso Quadrati.   Quare habito numero pedum, palmorum, ulnarum etc. umbrae, habebis altitudinem in pedibus, palmis, ulnis etc.&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;Si filum perpendiculi cadat in angulum C Quadrati penduli, seu abscindat partes 12. lateris tam recti B C, quam versi DC; umbra est aequalis altitudini, sicuti aequale est latus rectum lateri verso Quadrati.   Quare habito numero pedum, palmorum, ulnarum etc. umbrae, habebis altitudinem in pedibus, palmis, ulnis etc.&amp;lt;br&amp;gt;&lt;/div&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-l16&quot; &gt;Line 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&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;TERTIUS CASUS,&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;TERTIUS CASUS,&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;/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;
&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;&amp;lt;center&amp;gt;Quando filum perpendiculi intersecat latus versum Quadrati penduli&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;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;&amp;lt;center&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;Quando filum perpendiculi intersecat latus&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&amp;lt;/center&amp;gt;&amp;lt;br&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;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;center&amp;gt;''&lt;/ins&gt;versum Quadrati penduli&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;&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;/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;
&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;Si perpendiculum cadat in latus versum seu umbram versam DC Quadrati penduli, signum est umbram realem ad altitudine F G projectam, esse majorem ipsa altitudine, uti ex dictis ae demonstratis cap.4 constat.    Quam autem proportionem habeat umbra cum altitudine , disces ex facie posteriore Tabellae primae&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;Si perpendiculum cadat in latus versum seu umbram versam DC Quadrati penduli, signum est umbram realem ad altitudine F G projectam, esse majorem ipsa altitudine, uti ex dictis ae demonstratis cap.4 constat.    Quam autem proportionem habeat umbra cum altitudine , disces ex facie posteriore Tabellae primae&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ginevra Crosignani</name></author>
	</entry>
	<entry>
		<id>https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/275&amp;diff=92829&amp;oldid=prev</id>
		<title>Ginevra Crosignani: /* Not proofread */ Created page with &quot;&lt;center&gt;Geometriqus.&lt;/sic&gt;.&lt;/center&gt;&lt;br&gt;  &lt;center&gt;PRIMUS CASUS,&lt;/center&gt;&lt;br&gt;  &lt;center&gt;Quando filum perpendiculi intersecat latus&lt;/center&gt;&lt;br&gt; &lt;center&gt;rectum Quadrati penduli&lt;/...&quot;</title>
		<link rel="alternate" type="text/html" href="https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/275&amp;diff=92829&amp;oldid=prev"/>
		<updated>2020-05-19T16:36:50Z</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;&amp;lt;center&amp;gt;Geometriqus.&amp;lt;/sic&amp;gt;.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;  &amp;lt;center&amp;gt;PRIMUS CASUS,&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;  &amp;lt;center&amp;gt;Quando filum perpendiculi intersecat latus&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt; &amp;lt;center&amp;gt;rectum Quadrati penduli&amp;lt;/...&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;Ginevra Crosignani&amp;quot; /&amp;gt;&amp;lt;/noinclude&amp;gt;&amp;lt;center&amp;gt;Geometriqus.&amp;lt;/sic&amp;gt;.&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;PRIMUS CASUS,&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;Quando filum perpendiculi intersecat latus&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;center&amp;gt;rectum Quadrati penduli&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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	Si cadat perpendiculum in latus rectum seu umbram rectam B C Quadrati penduli,signum est umbram realem ab altitudine F G projectam, esse minorem ipsa altitudine, uti ex dictis ac demonstratis cap. 4. constat.   Quam autem proportionem habeat umbra com altitudine, disces ex facie anteriore Tabellae primae Geometricae.    Nam si filum perpendiculi abscindat partes 2 lateris recti B C; umbra est sextuplo minor quam altitudo: si abscindat partes 3, umbra est quadruplo minor quam altitudo etc.prout in dictae Tabellae primae facie anteriore apparet. Itaque si numerum pedum aut palmorum umbrae inventum sextuplices, quadruplices, triplices etc. habebis altitudinem in pedibus, palmis, ulnis etc. prout umbram dimensus fueris pedibus, palmis, ulnis etc.&amp;lt;br&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;SECUNDUS CASUS,&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;Quando filum perpendiculi cadit in angulum Quadrati penduli&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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Si filum perpendiculi cadat in angulum C Quadrati penduli, seu abscindat partes 12. lateris tam recti B C, quam versi DC; umbra est aequalis altitudini, sicuti aequale est latus rectum lateri verso Quadrati.   Quare habito numero pedum, palmorum, ulnarum etc. umbrae, habebis altitudinem in pedibus, palmis, ulnis etc.&amp;lt;br&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;TERTIUS CASUS,&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;Quando filum perpendiculi intersecat latus versum Quadrati penduli&amp;lt;/center&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
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Si perpendiculum cadat in latus versum seu umbram versam DC Quadrati penduli, signum est umbram realem ad altitudine F G projectam, esse majorem ipsa altitudine, uti ex dictis ae demonstratis cap.4 constat.    Quam autem proportionem habeat umbra cum altitudine , disces ex facie posteriore Tabellae primae&amp;lt;noinclude&amp;gt;&amp;lt;references/&amp;gt; {{TurnPage}}&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ginevra Crosignani</name></author>
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