https://gate.unigre.it/mediawiki/index.php?action=history&feed=atom&title=Page%3AOrganum_mathematicum_libris_IX._explicatum_%281668%29.djvu%2F154Page:Organum mathematicum libris IX. explicatum (1668).djvu/154 - Revision history2026-04-23T10:00:49ZRevision history for this page on the wikiMediaWiki 1.35.7https://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/154&diff=108987&oldid=prevIrene Pedretti: /* Proofread */2021-04-13T07:39:19Z<p><span dir="auto"><span class="autocomment">Proofread</span></span></p>
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</tr><tr><td colspan="2" class="diff-lineno">Page status</td><td colspan="2" class="diff-lineno">Page status</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">Not proofread</del></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">Proofread</ins></div></td></tr><tr><td colspan="2" class="diff-lineno">Page body (to be transcluded):</td><td colspan="2" class="diff-lineno">Page body (to be transcluded):</td></tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
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<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>quinquies repetiti: sive enim quinquies scribam hunc numerum sub se, et addam ; sive scribam semel, et subscribam 5, ac multiplicem; semper eadem Summa provenit, ut patet in sequentibus exemplis. Itaque Multiplicatio est compnediosa Additio.<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>quinquies repetiti: sive enim quinquies scribam hunc numerum sub se, et addam; sive scribam semel, et subscribam 5, ac multiplicem; semper eadem Summa provenit, ut patet in sequentibus exemplis. Itaque Multiplicatio est compnediosa Additio.<ins class="diffchange diffchange-inline">''</ins><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 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"><br></ins></div></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>CAPUT VII.</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>CAPUT VII.</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>De Divisione numerorum Integrorum.</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>De Divisione numerorum Integrorum.<ins class="diffchange diffchange-inline">''</ins></center></div></td></tr>
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<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>{{SidenoteLeft|Divisio numerorum integrorum.}} Dividere unum numerum per alium illo minorem, est <del class="diffchange diffchange-inline">inquirere </del>ac invenire, quoties hic minor in illo majori contineatur; seu quoties ex illo possit subtrahi: unde Divisio nihil aliud est quam compendiosa Subtractio. Exempli gratia, dividere 20 per 4, est inquirere et invenire,quoties 4 contineantur in 20; sive quoties 4 a 20 possint subtrahi. Itaque in Divisione tres numeri interveniunt ; ille, qui divisitur, et vocatur Dividendus; ille, per quem dividitur, et vocatur Divisor; et ille,qui reperitur, ac denotat quoties Divisor in Dividendo contineatur, et vocatur Quotus, seu Quotiens. Quare Divisio potest sic definiri: Divisio unius numeri per alium, scilicet majoris per minorem, est inquisitio et inventio alicujus tertii numeri, qui unitatibus suis exprimit,quoties minor in majori contineatur. Toties enim continetur Divisor in Dividendo, quoties unitas in Quoto.<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>{{SidenoteLeft|Divisio numerorum integrorum.}} Dividere unum numerum per alium illo minorem, est <ins class="diffchange diffchange-inline">inq uirere </ins>ac invenire, quoties hic minor in illo majori contineatur; seu quoties ex illo possit subtrahi: unde Divisio nihil aliud est quam compendiosa Subtractio. Exempli gratia, dividere 20 per 4, est inquirere et invenire,quoties 4 contineantur in 20; sive quoties 4 a 20 possint subtrahi. Itaque in Divisione tres numeri interveniunt; ille, qui divisitur, et vocatur Dividendus; ille, per quem dividitur, et vocatur Divisor; et ille, qui reperitur, ac denotat quoties Divisor in Dividendo contineatur, et vocatur Quotus, seu <ins class="diffchange diffchange-inline">''</ins>Quotiens<ins class="diffchange diffchange-inline">''</ins>. Quare Divisio potest sic definiri: <ins class="diffchange diffchange-inline">''</ins>Divisio unius numeri per alium, scilicet majoris per minorem, est inquisitio et inventio alicujus tertii numeri, qui unitatibus suis exprimit, quoties minor in majori contineatur<ins class="diffchange diffchange-inline">''</ins>. Toties enim continetur Divisor in Dividendo, quoties unitas in Quoto.<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>Divisor aliquando est unica figura, aliquando plures. De utroque casu Regulas trademus,ac primum de primo.<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>Divisor aliquando est unica figura, aliquando plures. De utroque casu Regulas trademus, ac primum de primo.<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 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> </div></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>§ I.</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>§ I.</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>Primus Casus, Quando Divisor est unica figura.</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>Primus Casus, Quando Divisor est unica figura.<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>Proponam prius omnes Regulas in hoc casu servandas; deinde proponam exempla,quibus Regulae explicentur.<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>Proponam prius omnes Regulas in hoc casu servandas; deinde proponam exempla, quibus Regulae explicentur.<br></div></td></tr>
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</table>Irene Pedrettihttps://gate.unigre.it/mediawiki/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/154&diff=108986&oldid=prevIrene Pedretti: /* Not proofread */ Created page with "quinquies repetiti: sive enim quinquies scribam hunc numerum sub se, et addam ; sive scribam semel, et subscribam 5, ac multiplicem; semper eadem Summa provenit, ut patet in s..."2021-04-13T07:32:48Z<p><span dir="auto"><span class="autocomment">Not proofread: </span> Created page with "quinquies repetiti: sive enim quinquies scribam hunc numerum sub se, et addam ; sive scribam semel, et subscribam 5, ac multiplicem; semper eadem Summa provenit, ut patet in s..."</span></p>
<p><b>New page</b></p><div><noinclude><pagequality level="1" user="Irene Pedretti" /></noinclude>quinquies repetiti: sive enim quinquies scribam hunc numerum sub se, et addam ; sive scribam semel, et subscribam 5, ac multiplicem; semper eadem Summa provenit, ut patet in sequentibus exemplis. Itaque Multiplicatio est compnediosa Additio.<br><br />
<br />
<center>CAPUT VII.</center><br />
<center>De Divisione numerorum Integrorum.</center><br />
<br />
{{SidenoteLeft|Divisio numerorum integrorum.}} Dividere unum numerum per alium illo minorem, est inquirere ac invenire, quoties hic minor in illo majori contineatur; seu quoties ex illo possit subtrahi: unde Divisio nihil aliud est quam compendiosa Subtractio. Exempli gratia, dividere 20 per 4, est inquirere et invenire,quoties 4 contineantur in 20; sive quoties 4 a 20 possint subtrahi. Itaque in Divisione tres numeri interveniunt ; ille, qui divisitur, et vocatur Dividendus; ille, per quem dividitur, et vocatur Divisor; et ille,qui reperitur, ac denotat quoties Divisor in Dividendo contineatur, et vocatur Quotus, seu Quotiens. Quare Divisio potest sic definiri: Divisio unius numeri per alium, scilicet majoris per minorem, est inquisitio et inventio alicujus tertii numeri, qui unitatibus suis exprimit,quoties minor in majori contineatur. Toties enim continetur Divisor in Dividendo, quoties unitas in Quoto.<br><br />
Divisor aliquando est unica figura, aliquando plures. De utroque casu Regulas trademus,ac primum de primo.<br><br />
<br />
<center>§ I.</center><br />
<center>Primus Casus, Quando Divisor est unica figura.</center><br />
Proponam prius omnes Regulas in hoc casu servandas; deinde proponam exempla,quibus Regulae explicentur.<br><noinclude><references/> {{TurnPage}}</noinclude></div>Irene Pedretti