Fortification, according to the method of Pagan, consists in three different sorts, viz. the great, the mean, and little, whose principal dimensions are contained in the following

Table.

The great Fortification.The mean.The little.
for
squares
for all
other
polygons
for
squares
for all
other
polygons
for
squares
for all
other
polygons
Exterior side200 200 180 180 160 160
The perpendicular ?7  30  24  30  21  3?
The face 60  60  55  55  45  50
The flank 22  242 191 24  183 232
The curtain 732 705 634 604 635 504
The line of defence141414121261126511551123

Blondel fortifies within the given polygon: he establishes two sorts of fortification; the great one, whose exterior side is 200 toises, and the lesser one 170; because he will not have the line of defence exceed 140 toises, which is the greatest musquet shot, nor less than 120 toises, not to increase the number of bastions. He begins by the diminishing angle, which may be found by taking 90 degrees from the angle of the polygon, and by adding 15 degrees to the third of the remainder.

Vauban’s method is divided into little, mean, and great: the little is chiefly used in the construction of citadels; the mean, in that of all sorts of towns; and the great, in particular cases only.

Table.

Forts.Little.Mean.Great.
Side of Polygon8090100 110120130140150160170180190200260
Length of perpendicular101112¹⁄₂ 14 15 16 20 21 23 25 30 31 25 22
Faces of Bastions222528  30 33 35 40 42 45 47 50 53 55 60
Capital of Ravelins252830  35 38 40 45 50 50 52 55 55 60 50

In the first horizontal row are the numbers expressing the lengths of the exterior sides from 80 to 260.

In the second, the perpendiculars answering to these sides.

In the third, the lengths of the faces of the bastions; and in the fourth, the lengths of the capitals of the ravelins.