= Descartes 1683 = Descartes (1683): Geometria à Renato Des Cartes, anno 1637 gallicè edita [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?url=http://content.mpiwg-berlin.mpg.de/mpiwg/online/permanent/library/HBY9GNKU/index.meta&mode=texttool ECHO] Part of [wiki:OverviewWorkOrders2010#WorkOrder10 WO10]. To be sent with DESpecs version 2.0.1 Sent: yes/2010-10-13. Returned: 2011-02-28 [source:/trunk/texts/WO_10/Descartes_1683_HBY9GNKU/raw/Descartes_1683_HBY9GNKU.txt raw text in trac] == 1. First Analysis == === Difficulties === * index in two columns ([http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?url=http%3A//content.mpiwg-berlin.mpg.de/mpiwg/online/permanent/library/HBY9GNKU/index.meta&pn=19&mode=texttool p 19]) * complex mathematical formulæ ([http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?url=http%3A//content.mpiwg-berlin.mpg.de/mpiwg/online/permanent/library/HBY9GNKU/index.meta&pn=210&mode=texttool pp 210ff.] or [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?url=http%3A//content.mpiwg-berlin.mpg.de/mpiwg/online/permanent/library/HBY9GNKU/index.meta&pn=62&mode=texttool p 62]) * formulæ are excluded from textflow ([http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?url=http%3A//content.mpiwg-berlin.mpg.de/mpiwg/online/permanent/library/HBY9GNKU/index.meta&pn=979&mode=texttool p 979]) === Special Instructions === == 2. Questions From Formax == Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=122&mk=0.2581/0.4747&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&tocMode=thumbs&tocPN=1&searchPN=1&mode=texttool&queryPageSize=10 Descartes-1683, 122.jpg], how to code the fraction in the last paragraph begin with "Et $it quadratum ex G H, "? A The most helpful for us would be to mark it as a formula with a new tag {{{}}} and then to type it as a table-like structure, even though it is part of a text paragraph. {{{

Et $it quadratum ex G H, y^6 - p y^5 - {t / √v} \\ + {1/4}pp # y^4 # 2 √v \\ + {pt / 2 √v} # y^3 # - p √v \\ + {tt / 4v} # yy - ty + v nnyy.

}}} Even better, if you can identify it as one large fraction: {{{

Et $it quadratum ex G H, { y^6 - p y^5 - {t / √v} \\ + {1/4}pp # y^4 # 2 √v \\ + {pt / 2 √v} # y^3 # - p √v \\ + {tt / 4v} # yy - ty + v / nnyy. }

}}} Please note: - As can be seen in the example, please do *not* type the large brackets before {{{y^4}}}, {{{y^3}}} and {{{yy}}} as "}". - The DESpecs ask you to use {{{}}} {{{}}} for squre roots. However, you have used √ already in the past when the overline of the square root was missing, and we like this solution. - There is no need to mark italics inside of {{{}}}. - We will add the {{{}}} tag to the DESpecs. Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=124&mk=0.254/0.427&tocMode=thumbs&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&queryPageSize=10&tocPN=1&searchPN=1&mode=texttool Descartes-1683, 124.jpg], how to code the complex fraction in the middel of the page? A Please type it as {{{ ... obtinebitur { -nn y^4 + 2m y^3 - p √v, yy - syy + {tt / 4v} yy. / nnyy } Cæterùm ... }}} Or did you mean the large formula further below? Please type it as {{{

... tramque $summam per _nnyy_: ex$urget y^6 - p y^5 - {t / √v} \\ + {1/4}pp # y^4 # ... # y^3 # ... # yy - ty + v, æquale ... Hoc e$t, habebitur y^6 - p y^5 + q y^4 - r y^3 + syy -ty + v <001> 0. Vnde aparet ... ... demon$trandum.

}}} Even better, if you can identify the letters in italics {{{_nnyy_}}} as a simple formula, please type them as {{{nnyy}}}: {{{ tramque $summam per nnyy: ex$urget }}} Please note: - Replace {{{<001>}}} by the appropriate "unknown character code" for this symbol. - You may also type this symbol simply as "{{{=}}}": {{{ y^6 - p y^5 + q y^4 - r y^3 + syy -ty + v = 0. }}} Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=46&mk=0.3135/0.3274&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&tocMode=thumbs&tocPN=1&searchPN=1&mode=texttool&queryPageSize=10 Descartes-1683, 046.jpg], how to code the fraction which appear above the figure? A Please type it as {{{

... ... æquatio erit yy <001> { -dekzz \\ +cfglz # y # -dezzx \\ -cfgzx \\ +bcgzx # y # +bcfglx \\ -bcfgxx / e z^3 - cgzz. }

}}} Again, you may also type this symbol simply as "{{{=}}}": {{{

... ... æquatio erit yy = { -dekzz \\ +cfglz # y # -dezzx \\ -cfgzx \\ +bcgzx # y # +bcfglx \\ -bcfgxx / e z^3 - cgzz. }

}}} Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=958&ws=1&wx=0.1276&wy=0.1324&ww=0.8389&wh=0.5481&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&tocMode=thumbs&tocPN=1&searchPN=1&mode=texttool&characterNormalization=regPlusNorm&queryPageSize=10 958.jpg], can you tell us how to key the data before the paragraph "Hinc subducta..."? A Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=960&ws=1&wx=0.2656&wy=0.1129&ww=0.7092&wh=0.4993&tocMode=thumbs&start=971&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&tocPN=1&searchPN=1&mode=texttool&characterNormalization=regPlusNorm&queryPageSize=10 960.jpg], how to key the data before the paragraph "Id quod arguit..."? A Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=961&ws=1&wx=0.0355&wy=0.449&ww=0.7008&wh=0.4267&tocMode=thumbs&start=971&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&tocPN=1&searchPN=1&mode=texttool&characterNormalization=regPlusNorm&queryPageSize=10 961.jpg], how to key the data under the image? A Q Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?tocMode=thumbs&start=971&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&wh=1&ww=1&tocPN=1&searchPN=1&ws=1&mode=texttool&characterNormalization=regPlusNorm&queryPageSize=10&pn=962 962.jpg]-[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?tocMode=thumbs&start=971&url=http%3A%2F%2Fcontent.mpiwg-berlin.mpg.de%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FHBY9GNKU%2Findex.meta&viewMode=images&wh=1&ww=1&tocPN=1&searchPN=1&ws=1&mode=texttool&characterNormalization=regPlusNorm&queryPageSize=10&pn=974 974.jpg], can you give us a rule for how to code the such data? == 3. Analysis of the Result == === Findings === === Recommendation === == 4. Post-Processing ==