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 side | 200 | 200 | 180 | 180 | 160 | 160 | ||||||
| The perpendicular | ?7 | 30 | 24 | 30 | 21 | 3? | ||||||
| The face | 60 | 60 | 55 | 55 | 45 | 50 | ||||||
| The flank | 22 | 24 | 2 | 19 | 1 | 24 | 18 | 3 | 23 | 2 | ||
| The curtain | 73 | 2 | 70 | 5 | 63 | 4 | 60 | 4 | 63 | 5 | 50 | 4 |
| The line of defence | 141 | 4 | 141 | 2 | 126 | 1 | 126 | 5 | 115 | 5 | 112 | 3 |
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 Polygon | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 | 190 | 200 | 260 | |
| Length of perpendicular | 10 | 11 | 12 | ¹⁄₂ | 14 | 15 | 16 | 20 | 21 | 23 | 25 | 30 | 31 | 25 | 22 |
| Faces of Bastions | 22 | 25 | 28 | 30 | 33 | 35 | 40 | 42 | 45 | 47 | 50 | 53 | 55 | 60 | |
| Capital of Ravelins | 25 | 28 | 30 | 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.