https://gate.unigre.it/mediawiki-test/index.php?action=history&feed=atom&title=Page%3AOrganum_mathematicum_libris_IX._explicatum_%281668%29.djvu%2F259 2026-04-30T03:10:12Z Revision history for this page on the wiki MediaWiki 1.35.7 https://gate.unigre.it/mediawiki-test/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/259&diff=102926&oldid=prev 2020-10-07T10:52:55Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 10:52, 7 October 2020</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-l2" >Line 2:</td> <td colspan="2" class="diff-lineno">Line 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>''Fiat secundo operatio in statione I, ex distantia I G 30 pedum''. Colloca Quadratum antea, et dirige radium visualem per dioptras regulae primo in L, deinde in F. cadat Regula in angulum C Quadrati, fiantque duo triangula A D C, A L F. et quoniam tam latus A D, quam latus D C, ets 12 partium, die iterum per Regulam Trium: Ut A D 12, ad D C 12, ita A L 30, ad L F. Invenies, operatione facta, turrim L F esse pedum 30, ut antea; cui altitudini adjicienda est portio L G. ''Ratio est, quia dicta duo triangula sunt quadrangula, propter rationem antea allatam, ac proinde habent latera aequalibus angulis adjacentia, proportionalia,'' per 4. sexti.&lt;br&gt;</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>''Fiat secundo operatio in statione I, ex distantia I G 30 pedum''. Colloca Quadratum antea, et dirige radium visualem per dioptras regulae primo in L, deinde in F. cadat Regula in angulum C Quadrati, fiantque duo triangula A D C, A L F. et quoniam tam latus A D, quam latus D C, ets 12 partium, die iterum per Regulam Trium: Ut A D 12, ad D C 12, ita A L 30, ad L F. Invenies, operatione facta, turrim L F esse pedum 30, ut antea; cui altitudini adjicienda est portio L G. ''Ratio est, quia dicta duo triangula sunt quadrangula, propter rationem antea allatam, ac proinde habent latera aequalibus angulis adjacentia, proportionalia,'' per 4. sexti.&lt;br&gt;</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>''Fiat tertio operatio in statione H, ex distantia H G 15, pedum'' Collocato Instrumento ut antea, et dicta Regula dioptrica primo</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>''Fiat tertio operatio in statione H, ex distantia H G 15, pedum'' Collocato Instrumento ut antea, et dicta Regula dioptrica primo</div></td></tr> <tr><td colspan="2"> </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 style="font-weight: bold; text-decoration: none;">[[Category:AKC Works pages]]</ins></div></td></tr> <tr><td colspan="2"> </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 style="font-weight: bold; text-decoration: none;">[[Category:AKC Pages]]</ins></div></td></tr> <tr><td colspan="2"> </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 style="font-weight: bold; text-decoration: none;">[[Category:Organum mathematicum (1668)]]</ins></div></td></tr> </table>

Irene Pedretti https://gate.unigre.it/mediawiki-test/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/259&diff=90757&oldid=prev 2020-05-06T14:42:43Z

<p><span dir="auto"><span class="autocomment">top: </span>added <a href="/mediawiki-test/index.php/Template:TurnPage" title="Template:TurnPage">Template:TurnPage</a>, replaced: &lt;references/&gt; → &lt;references/&gt; {{TurnPage}}</span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:42, 6 May 2020</td> </tr><tr><td colspan="2" class="diff-lineno">Footer (noinclude):</td><td colspan="2" class="diff-lineno">Footer (noinclude):</td></tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>&lt;references/&gt;</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>&lt;references/&gt; <ins class="diffchange diffchange-inline">{{TurnPage}}</ins></div></td></tr> </table>

ArchivesPUG https://gate.unigre.it/mediawiki-test/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/259&diff=82511&oldid=prev 2020-04-24T13:02:45Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:02, 24 April 2020</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> <td colspan="2" class="diff-lineno">Line 1:</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>latus C D respiciat turrim, et sit ad horizontem perpendiculare; quod sit ope perpendiculi a puncto B, aut C suspense: si enimfilum perpendiculoi congruity lineae A B, aut C D, Quadratum est horizonti perpendiculare. His factis, pone primo Regulam dioptricam supra latus A D Quadrati, et per dioptras dirige visuale radium in punctum L turris; quod nota.  Deinde eandem Regulam dirige versus turris cacumen F, eamque tam diu eleva, ac deprime, donec per dioptras dirige visualem radium in punctum L turris; quod nota. Deinde eandem Regulam dirige versus turris cacumen F, eamque tam diu eleva, ac deprime, donec per dioptras videas punctum F. Demum nota, quondam latus, et quotum lateris punctum intersecet Regula. Ponamus latera Quadrati esse divisa in partes 12, et Regulam intersecare latus C D, in puncto E, esseque partes abscissas inter D et E 6. Quo posito, considera duo triangula A D E, et A L F, utereque Regula Trium, dicendo: ut A D 12, ad D E 6, ita A L seu K G 60 ad aliud. Vel : Latus Quadrati A D 12 partium, dat partes D E 6, quid dant A L pedes 60? Reperies operatione facta altitudinem L F 30 pedum: quibuis si adjicias pedes inter L et G, habebis altitudinem. ''Ratio est, quia duo triangula A D E, A L F, sunt aequiangula: nam anguli ad D et L sunt recti, ex suppositione; angulus E A D est utrique triangulo communis; et rellilqui sunt inter eaequales,'' per 32. ''et 29. primi. Ergo'' per 4 sexti, ''ut A D ad D E, ita est A L ad L F.'' &lt;br&gt;</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>latus C D respiciat turrim, et sit ad horizontem perpendiculare; quod sit ope perpendiculi a puncto B, aut C suspense: si enimfilum perpendiculoi congruity lineae A B, aut C D, Quadratum est horizonti perpendiculare. His factis, pone primo Regulam dioptricam supra latus A D Quadrati, et per dioptras dirige visuale radium in punctum L turris; quod nota.  Deinde eandem Regulam dirige versus turris cacumen F, eamque tam diu eleva, ac deprime, donec per dioptras dirige visualem radium in punctum L turris; quod nota. Deinde eandem Regulam dirige versus turris cacumen F, eamque tam diu eleva, ac deprime, donec per dioptras videas punctum F. Demum nota, quondam latus, et quotum lateris punctum intersecet Regula. Ponamus latera Quadrati esse divisa in partes 12, et Regulam intersecare latus C D, in puncto E, esseque partes abscissas inter D et E 6. Quo posito, considera duo triangula A D E, et A L F, utereque Regula Trium, dicendo: ut A D 12, ad D E 6, ita A L seu K G 60 ad aliud. Vel : Latus Quadrati A D 12 partium, dat partes D E 6, quid dant A L pedes 60? Reperies operatione facta altitudinem L F 30 pedum: quibuis si adjicias pedes inter L et G, habebis altitudinem. ''Ratio est, quia duo triangula A D E, A L F, sunt aequiangula: nam anguli ad D et L sunt recti, ex suppositione; angulus E A D est utrique triangulo communis; et rellilqui sunt inter eaequales,'' per 32. ''et 29. primi. Ergo'' per 4 sexti, ''ut A D ad D E, ita est A L ad L F.'' &lt;br&gt;</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>''Fiat secundo operatio in statione I, ex distantia I G 30 pedum''. Colloca <del class="diffchange diffchange-inline">Quadratumm </del>antea, et dirige radium visualem per <del class="diffchange diffchange-inline">doptras </del>regulae primo in L, deinde in F. cadat Regula in angulum C Quadrati, fiantque duo triangula A D C, A L F. et quoniam tam latus <del class="diffchange diffchange-inline">AD</del>, quam latus D C, ets 12 partium, die iterum per Regulam Trium: Ut A D 12, ad D C 12, ita A L 30, ad L F. Invenies, operatione facta, turrim L F esse pedum 30, ut antea; cui altitudini adjicienda est portio L G. ''Ratio est, quia dicta duo triangula sunt quadrangula, propter rationem antea allatam, ac proinde habent latera aequalibus angulis adjacentia, proportionalia,'' per 4. sexti.&lt;br&gt;</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>''Fiat secundo operatio in statione I, ex distantia I G 30 pedum''. Colloca <ins class="diffchange diffchange-inline">Quadratum </ins>antea, et dirige radium visualem per <ins class="diffchange diffchange-inline">dioptras </ins>regulae primo in L, deinde in F. cadat Regula in angulum C Quadrati, fiantque duo triangula A D C, A L F. et quoniam tam latus <ins class="diffchange diffchange-inline">A D</ins>, quam latus D C, ets 12 partium, die iterum per Regulam Trium: Ut A D 12, ad D C 12, ita A L 30, ad L F. Invenies, operatione facta, turrim L F esse pedum 30, ut antea; cui altitudini adjicienda est portio L G. ''Ratio est, quia dicta duo triangula sunt quadrangula, propter rationem antea allatam, ac proinde habent latera aequalibus angulis adjacentia, proportionalia,'' per 4. sexti.&lt;br&gt;</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>''Fiat tertio operatio in statione H, ex distantia H G 15, pedum'' Collocato Instrumento ut antea, et dicta Regula dioptrica primo</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>''Fiat tertio operatio in statione H, ex distantia H G 15, pedum'' Collocato Instrumento ut antea, et dicta Regula dioptrica primo</div></td></tr> <!-- diff cache key my_wiki_test:diff::1.12:old-82510:rev-82511 --> </table>

Ginevra Crosignani https://gate.unigre.it/mediawiki-test/index.php?title=Page:Organum_mathematicum_libris_IX._explicatum_(1668).djvu/259&diff=82510&oldid=prev 2020-04-24T13:01:24Z

<p><span dir="auto"><span class="autocomment">Not proofread: </span> Created page with &quot;latus C D respiciat turrim, et sit ad horizontem perpendiculare; quod sit ope perpendiculi a puncto B, aut C suspense: si enimfilum perpendiculoi congruity lineae A B, aut C D...&quot;</span></p> <p><b>New page</b></p><div>&lt;noinclude&gt;&lt;pagequality level=&quot;1&quot; user=&quot;Ginevra Crosignani&quot; /&gt;&lt;/noinclude&gt;latus C D respiciat turrim, et sit ad horizontem perpendiculare; quod sit ope perpendiculi a puncto B, aut C suspense: si enimfilum perpendiculoi congruity lineae A B, aut C D, Quadratum est horizonti perpendiculare. His factis, pone primo Regulam dioptricam supra latus A D Quadrati, et per dioptras dirige visuale radium in punctum L turris; quod nota. Deinde eandem Regulam dirige versus turris cacumen F, eamque tam diu eleva, ac deprime, donec per dioptras dirige visualem radium in punctum L turris; quod nota. Deinde eandem Regulam dirige versus turris cacumen F, eamque tam diu eleva, ac deprime, donec per dioptras videas punctum F. Demum nota, quondam latus, et quotum lateris punctum intersecet Regula. Ponamus latera Quadrati esse divisa in partes 12, et Regulam intersecare latus C D, in puncto E, esseque partes abscissas inter D et E 6. Quo posito, considera duo triangula A D E, et A L F, utereque Regula Trium, dicendo: ut A D 12, ad D E 6, ita A L seu K G 60 ad aliud. Vel : Latus Quadrati A D 12 partium, dat partes D E 6, quid dant A L pedes 60? Reperies operatione facta altitudinem L F 30 pedum: quibuis si adjicias pedes inter L et G, habebis altitudinem. ''Ratio est, quia duo triangula A D E, A L F, sunt aequiangula: nam anguli ad D et L sunt recti, ex suppositione; angulus E A D est utrique triangulo communis; et rellilqui sunt inter eaequales,'' per 32. ''et 29. primi. Ergo'' per 4 sexti, ''ut A D ad D E, ita est A L ad L F.'' &lt;br&gt;<br /> ''Fiat secundo operatio in statione I, ex distantia I G 30 pedum''. Colloca Quadratumm antea, et dirige radium visualem per doptras regulae primo in L, deinde in F. cadat Regula in angulum C Quadrati, fiantque duo triangula A D C, A L F. et quoniam tam latus AD, quam latus D C, ets 12 partium, die iterum per Regulam Trium: Ut A D 12, ad D C 12, ita A L 30, ad L F. Invenies, operatione facta, turrim L F esse pedum 30, ut antea; cui altitudini adjicienda est portio L G. ''Ratio est, quia dicta duo triangula sunt quadrangula, propter rationem antea allatam, ac proinde habent latera aequalibus angulis adjacentia, proportionalia,'' per 4. sexti.&lt;br&gt;<br /> ''Fiat tertio operatio in statione H, ex distantia H G 15, pedum'' Collocato Instrumento ut antea, et dicta Regula dioptrica primo&lt;noinclude&gt;&lt;references/&gt;&lt;/noinclude&gt;</div>

Ginevra Crosignani