Descartes 1683
Descartes (1683): Geometria à Renato Des Cartes, anno 1637 gallicè edita ECHO
Part of WO10.
To be sent with DESpecs version 2.0.1
Sent: yes/2010-10-13.
Returned: 2011-02-28 raw text in trac
1. First Analysis
Difficulties
- index in two columns (p 19)
- complex mathematical formulæ (pp 210ff. or p 62)
- formulæ are excluded from textflow (p 979)
Special Instructions
2. Questions From Formax
Q Please see 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 <math> and then to type it as a table-like structure, even though it is part of a text paragraph.
<p>Et $it quadratum ex G H,
<math>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.</math></p>
Even better, if you can identify it as one large fraction:
<p>Et $it quadratum ex G H,
<math>{ 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. }</math></p>
Please note:
- As can be seen in the example, please do *not* type the large brackets before
y^4,y^3andyyas "}". - The DESpecs ask you to use
<r></r>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
<math>. - We will add the
<math>tag to the DESpecs.
Q Please see Descartes-1683, 124.jpg, how to code the complex fraction in the middel of the page?
A Please type it as
... obtinebitur
<math>{ -nn y^4 + 2m y^3 - p √v, yy - syy + {tt / 4v} yy. / nnyy }</math> Cæterùm
...
Or did you mean the large formula further below? Please type it as
<p> ...
tramque $summam per _nnyy_: ex$urget
<math>y^6 - p y^5 - {t / √v} \\ + {1/4}pp # y^4 # ... # y^3 # ... # yy - ty + v,</math>
æquale
<math> ... </math>
Hoc e$t, habebitur
<math>y^6 - p y^5 + q y^4 - r y^3 + syy -ty + v <001> 0.<math>
Vnde aparet ...
... demon$trandum.</p>
Even better, if you can identify the letters in italics _nnyy_ as a simple formula, please type them as <math>nnyy</math>:
tramque $summam per <math>nnyy</math>: ex$urget
Please note:
- Replace
<001>by the appropriate "unknown character code" for this symbol. - You may also type this symbol simply as "
=":
<math>y^6 - p y^5 + q y^4 - r y^3 + syy -ty + v = 0.<math>
Q Please see Descartes-1683, 046.jpg, how to code the fraction which appear above the figure?
A Please type it as
<p> ...
... æquatio erit
<math>yy <001> { -dekzz \\ +cfglz # y # -dezzx \\ -cfgzx \\ +bcgzx # y # +bcfglx \\ -bcfgxx / e z^3 - cgzz. }</math></p>
Again, you may also type this symbol simply as "=":
<p> ...
... æquatio erit
<math>yy = { -dekzz \\ +cfglz # y # -dezzx \\ -cfgzx \\ +bcgzx # y # +bcfglx \\ -bcfgxx / e z^3 - cgzz. }</math></p>
Q Please see 958.jpg, can you tell us how to key the data before the paragraph "Hinc subducta..."?
A
Q Please see 960.jpg, how to key the data before the paragraph "Id quod arguit..."?
A
Q Please see 961.jpg, how to key the data under the image?
A
Q Please see 962.jpg-974.jpg, can you give us a rule for how to code the such data?
