Opening the text

Elements of Military Art and Science: Or, Course Of Instruction In Strategy, Fortification, Tactics Of Battles, &C.; Embracing The Duties Of Staff, Infantry, Cavalry, Artillery, And Engineers; Adapted To The Use Of Volunteers And Militia; Third Edition; With Critical Notes On The Mexican And Crimean Wars.Halleck, H. W. (Henry Wager)

Philosophy

Elements of Military Art and Science: Or, Course Of Instruction In Strategy, Fortification, Tactics Of Battles, &C.; Embracing The Duties Of Staff, Infantry, Cavalry, Artillery, And Engineers; Adapted To The Use Of Volunteers And Militia; Third Edition; With Critical Notes On The Mexican And Crimean Wars.

Name: Elements of Military Art and Science: Or, Course Of Instruction In Strategy, Fortification, Tactics Of Battles, &C.; Embracing The Duties Of Staff, Infantry, Cavalry, Artillery, And Engineers; Adapted To The Use Of Volunteers And Militia; Third Edition; With Critical Notes On The Mexican And Crimean Wars.
Author: Halleck, H. W. (Henry Wager)

Halleck, H. W. (Henry Wager)

Military art and science

_____________________________________________________________________
                |   Engineer    |Artillery staff,|  Total    |  Total of
                |staff, sappers,| horse and foot |    of     | artillery
                |    miners,    |   artillery,   |engineers, |staff, horse
                | pontoniers,   | ouvriers, and  | sappers,  |  and foot
                |and pioneers.  |   pioneers.    |  miners,  |artillery,
Name of Siege.  |________________________________|pontoniers,|ouvriers,
                |       |       |       |        |    and    |     and
                |Offic. | Men.  |Offic. | Men.   | pioneers. | pioneers.
 _______________|_______|_______|_______|________|___________|____________
Saragossa,      |   86  | 1189  |   90  |  1276  |    1275   |    1360
Rosas,          |   21  |  211  |   --  |   --   |     232   |     461
Girona,         |   54  |  603  |   62  |  1299  |     657   |    1361
Astorga,        |    7  |   91  |   17  |   427  |      98   |     444
Lerida,         |   15  |  316  |   11  |   208  |     331   |     219
Meguinenza,     |   31  |  278  |   --  |   --   |     312   |     136
1st Ciudad      |       |       |       |        |           |
Rodrigo,        |   34  |  441  |   --  |   --   |     475   |    1019
Almeida,        |   34  |  489  |   --  |   --   |     523   |    1019
Tortosa,        |   43  |  429  |   32  |   381  |     472   |     413
Tarragona,      |   50  |  681  |   46  |   701  |     731   |     747
Olivensa,       |   10  |  106  |   --  |   --   |     116   |     186
1st Badajos,    |   25  |  707  |   41  |   699  |     732   |     740
Tarifa,         |   12  |  235  |   17  |   148  |     247   |     165
Peniscola,      |   13  |  138  |    9  |   183  |     151   |     192
2d Ciudad       |       |       |       |        |           |
Rodrigo,        |    3  |   12  |    8  |   160  |      15   |     168
2d Badajos,     |    9  |  256  |   --  |   --   |     265   |     268
Burgos,         |    4  |  124  |    3  |   126  |     128   |     129
Castio Udiales, |    5  |   68  |    8  |   197  |      73   |     205
St. Sebastian,  |   13  |  248  |    7  |   166  |     261   |     173
________________|_______|_______|_______|________|___________|____________

From this table it appears that the ratio of the two arms at these
sieges, making the comparison on the basis of our own organization, is
about the same as for the present French army in Algeria, or a little
more than five of engineers to six of artillery.

Public-domain text, read in full here on John Shaqi.