https://gate.unigre.it/mediawiki-test/index.php?action=history&feed=atom&title=Page%3AOrganum_mathematicum_libris_IX._explicatum_%281668%29.djvu%2F148Page:Organum mathematicum libris IX. explicatum (1668).djvu/148 - Revision history2026-05-03T23:33:01ZRevision history for this page on the wikiMediaWiki 1.35.7https://gate.unigre.it/mediawiki-test/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/148&diff=108756&oldid=prevIrene Pedretti: /* Proofread */2021-03-25T10:41:55Z<p><span dir="auto"><span class="autocomment">Proofread</span></span></p>
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<tr><td class='diff-marker'> </td><td style="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;"><div><br></div></td><td class='diff-marker'> </td><td style="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;"><div><br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div>Sit iterum multiplicandus numerus C per 3. Collocatis numeris, et linea infra ducta,dic: ter 4, sunt 12; scribe 2 infra, et 1 mente retine,addendum sequenti Summae. Iterum dic; ter 0 facit 0, et 1 antea retentum, facit 1: scribe ergo 1 infra. Iterum, ter 2,sunt 6; scribe ergo 6 infra. Iterum, ter 7, faciunt 21; scribe 1 infra, et retine 2. Tandem, ter 3, sunt 9, et 2 antea retenta, <del class="diffchange diffchange-inline">siunt </del>11; quae scribe integre infra.<br></div></td><td class='diff-marker'>+</td><td style="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;"><div>Sit iterum multiplicandus numerus C per 3. Collocatis numeris, et linea infra ducta, dic: ter 4, sunt 12; scribe 2 infra, et 1 mente retine, addendum sequenti Summae. Iterum dic; ter 0 facit 0, et 1 antea retentum, facit 1: scribe ergo 1 infra. Iterum, ter 2, sunt 6; scribe ergo 6 infra. Iterum, ter 7, faciunt 21; scribe 1 infra, et retine 2. Tandem, ter 3, sunt 9, et 2 antea retenta, <ins class="diffchange diffchange-inline">fiunt </ins>11; quae scribe integre infra.<br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline"> </del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="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;"><div><center>§ III.</center></div></td><td class='diff-marker'> </td><td style="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;"><div><center>§ III.</center></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><center>Tertius casus, Quando uterque numerus continet plures figuras.</center></div></td><td class='diff-marker'>+</td><td style="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;"><div><center><ins class="diffchange diffchange-inline">''</ins>Tertius casus, Quando uterque numerus continet plures figuras.<ins class="diffchange diffchange-inline">''</ins></center></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline"> </del>In hoc casu sic procede. Primo. Colloca numeros sub se invice a <del class="diffchange diffchange-inline">Dextera </del>incipiendo, ita ut <del class="diffchange diffchange-inline">ptima </del>ad dexteram figura Multiplicantis sit sub prima Multiplicandi,et secunda illius sub secunda hujus, tertia <del class="diffchange diffchange-inline">sun </del>tertia,etc. prout in exemplis apparet.<br></div></td><td class='diff-marker'>+</td><td style="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;"><div>In hoc casu sic procede. <ins class="diffchange diffchange-inline">''</ins>Primo<ins class="diffchange diffchange-inline">''</ins>. Colloca numeros sub se invice a <ins class="diffchange diffchange-inline">dextera </ins>incipiendo, ita ut <ins class="diffchange diffchange-inline">prima </ins>ad dexteram figura Multiplicantis sit sub prima Multiplicandi, et secunda illius sub secunda hujus, tertia <ins class="diffchange diffchange-inline">sub </ins>tertia, etc. prout in exemplis apparet.<br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline"> </del>Secundo. Ducta infra illos linea, duc primam figuram inferioris in primam superioris,et Summam scribe directe <del class="diffchange diffchange-inline">sun </del>prima Multiplicantis. Eandem duc in reliquas figuras superioris, et Summa scribe, ut antea in secundo casu.<br></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">''</ins>Secundo<ins class="diffchange diffchange-inline">''</ins>. Ducta infra illos linea, duc primam figuram inferioris in primam superioris, et Summam scribe directe <ins class="diffchange diffchange-inline">sub </ins>prima Multiplicantis. Eandem duc in reliquas figuras superioris, et Summa scribe, ut antea in secundo casu.<br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline"> </del>Tertio. Duc similiter secundam figuram inferioris in singulas figuras superioris numeri, et Summas scribe infra, incipiendo directe infra secundam figuram Mulitplicantis et Multiplicandi, prout in exemplis sequentibus factum vides. Simili modo procede cum aliis figuris inferioris numeri, si quae supersunt, ducendo illas in singulas superioris, et Summas scribendio infra.<br></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">''</ins>Tertio<ins class="diffchange diffchange-inline">''</ins>. Duc similiter secundam figuram inferioris in singulas figuras superioris numeri, et Summas scribe infra, incipiendo directe infra secundam figuram Mulitplicantis et Multiplicandi, prout in exemplis sequentibus factum vides. Simili modo procede cum aliis figuris inferioris numeri, si quae supersunt, ducendo illas in singulas superioris, et Summas scribendio infra.<br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline"> </del>Quarto. Omnes Summas infra lineam scriptas collige in unam Summam, incipiendo a dextera modo consueto. Sed exempla rem melius ostendent.<br></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">''</ins>Quarto<ins class="diffchange diffchange-inline">''</ins>. Omnes Summas infra lineam scriptas collige in unam Summam, incipiendo a dextera modo consueto. Sed exempla rem melius ostendent.<br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline"> </del>Quinto. Quae dixi de cifra occurrente in Multiplicando, servanda</div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">''</ins>Quinto<ins class="diffchange diffchange-inline">''</ins>. Quae dixi de cifra occurrente in Multiplicando, servanda</div></td></tr>
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</table>Irene Pedrettihttps://gate.unigre.it/mediawiki-test/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/148&diff=108755&oldid=prevIrene Pedretti: /* Not proofread */ Created page with "<center>Exemplum II.</center> <br> <br> Sit iterum multiplicandus numerus C per 3. Collocatis numeris, et linea infra ducta,dic: ter 4, sunt 12; scribe 2 infra, et 1 mente ret..."2021-03-25T10:37:06Z<p><span dir="auto"><span class="autocomment">Not proofread: </span> Created page with "<center>Exemplum II.</center> <br> <br> Sit iterum multiplicandus numerus C per 3. Collocatis numeris, et linea infra ducta,dic: ter 4, sunt 12; scribe 2 infra, et 1 mente ret..."</span></p>
<p><b>New page</b></p><div><noinclude><pagequality level="1" user="Irene Pedretti" /></noinclude><center>Exemplum II.</center><br />
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Sit iterum multiplicandus numerus C per 3. Collocatis numeris, et linea infra ducta,dic: ter 4, sunt 12; scribe 2 infra, et 1 mente retine,addendum sequenti Summae. Iterum dic; ter 0 facit 0, et 1 antea retentum, facit 1: scribe ergo 1 infra. Iterum, ter 2,sunt 6; scribe ergo 6 infra. Iterum, ter 7, faciunt 21; scribe 1 infra, et retine 2. Tandem, ter 3, sunt 9, et 2 antea retenta, siunt 11; quae scribe integre infra.<br><br />
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<center>§ III.</center><br />
<center>Tertius casus, Quando uterque numerus continet plures figuras.</center><br />
In hoc casu sic procede. Primo. Colloca numeros sub se invice a Dextera incipiendo, ita ut ptima ad dexteram figura Multiplicantis sit sub prima Multiplicandi,et secunda illius sub secunda hujus, tertia sun tertia,etc. prout in exemplis apparet.<br><br />
Secundo. Ducta infra illos linea, duc primam figuram inferioris in primam superioris,et Summam scribe directe sun prima Multiplicantis. Eandem duc in reliquas figuras superioris, et Summa scribe, ut antea in secundo casu.<br><br />
Tertio. Duc similiter secundam figuram inferioris in singulas figuras superioris numeri, et Summas scribe infra, incipiendo directe infra secundam figuram Mulitplicantis et Multiplicandi, prout in exemplis sequentibus factum vides. Simili modo procede cum aliis figuris inferioris numeri, si quae supersunt, ducendo illas in singulas superioris, et Summas scribendio infra.<br><br />
Quarto. Omnes Summas infra lineam scriptas collige in unam Summam, incipiendo a dextera modo consueto. Sed exempla rem melius ostendent.<br><br />
Quinto. Quae dixi de cifra occurrente in Multiplicando, servanda<noinclude><references/> {{TurnPage}}</noinclude></div>Irene Pedretti