Bernoulli 1738

Bernoulli, Daniel (1738), Hydrodynamica, sive De viribus et motibus fluidorum commentarii ​ECHO

Part of WO3. Sent with DESpecs version 1.1.2.

Sent: yes/date. Returned: 2009-02-06, ​raw text

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 ​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. ​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 cubic root (∛) was also used.

Recommendation

4. Post-Processing