= Bernoulli 1738 =

Bernoulli, Daniel (1738), Hydrodynamica, sive De viribus et motibus fluidorum commentarii
[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?mode=imagepath&url=/mpiwg/online/permanent/library/AZ870BWE/pageimg ECHO], [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FAZ870BWE New ECHO]

Part of [wiki:WO3]. 
Sent with DESpecs version 1.1.2. 

Sent: yes/date.
Returned: 2009-02-06, [http://pythia.mpiwg-berlin.mpg.de/department1/mpdl/raw-texts/WO3_Bernoulli_1738.txt/WO3_Bernoulli_1738_V1.txt raw text], [source:/trunk/texts/WO_3/Bernoulli_1738/raw/Bernoulli_1738_AZ870BWE.txt raw text in trac]


== 1.  First Analysis ==

=== Difficulties ===

    * very easy to type, but contains a table of contents

=== Special Instructions ===

== 2.  Questions From Formax ==

none

== 3.  Analysis of the Result ==

=== Findings ===

 * No unknown characters apart from 8x <007> (dotless i).
 * In the index, centered text was treated as [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=13&mk=0.2528/0.2707&mode=imagepath&url=/mpiwg/online/permanent/library/AZ870BWE/pageimg indented text]:

 {{{
# INDEX SECTIONUM.
# SECTIO PRIMA.
Introitus e$t variaque continet prænotanda. # pag. 1.
 }}}

 * If there is no overline following the root sign, the root sign was typed as such. [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=168&ws=1&wx=0.2346&wy=0.57&ww=0.6979&wh=0.2528&mk=0.3175/0.6052&mode=imagepath&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FAZ870BWE%2Fpageimg Example]:

 {{{
Et autem ${_mgdx_√_x_/_nna_ - (_mm_ + _nn_) _x_} = - {2_mg_/_mm_ + _nn_}√_x_ + {_mng_√_a_/(_mm_ + _nn_)√(_mm_ + _nn_)} X
_log_.{_n_√_a_ + <sqrt>_mm_ + _nn_</sqrt>√_x_/_n_√_a_ - <sqrt>_mm_ + _nn_</sqrt>√_x_}; alteriusque membri integrale
nempe ${_ngdx_<sqrt>_a_ - _x_</sqrt>/_nna_ - (_mm_ + _nn_) _x_} fit = {-2_ng_/_mm_ + _nn_}√(_a_ - _x_) +
{_mng_√_a_/(_mm_ + _nn_) X √(_mm_ + _nn_)} _log_. {_m_√_a_ + <sqrt>_mm_ + _nn_</sqrt> X <sqrt>_a_ - _x_</sqrt>/_m_√_a_ - <sqrt>_mm_ + _nn_</sqrt> X <sqrt>_a_ - _x_</sqrt>};
Patet exinde addita debita con$tante fore
_t_ = {2_mg_<sqrt>_a_ - _b_</sqrt> - 2_mg_√_x_ + 2_ng_√_b_ - 2_ng_<sqrt>_a_ - _x_</sqrt>/_mm_ + _nn_} +
{_mng_√_a_/(_mm_ + _nn_) X √(_mm_ + _nn_)} X
 }}}

 {{{$}}} was used for the logarithm sign.

 * The Unicode sign for a [http://libcoll.mpiwg-berlin.mpg.de/libcoll_zogilib?fn=/permanent/library/AZ870BWE/pageimg&pn=216&mk=0.2653/0.1968 cubic root] (∛) was also used.
=== Recommendation ===

== 4.  Post-Processing ==