ARRANGEMENT OF THE THIRD BOOK.

A complex hierarchical tree diagram (analytical table) uses curly braces to categorize the contents of the third book. The diagram branches from "The third treatise" into "Stereometry" and "Sciagraphy," further subdividing into specific geometric and architectural topics, each ending with a corresponding page or section number on the right margin.

The third treatise deals principally with Stereometry the science of measuring the volume of solid bodies, essential for calculating the earth needed for ramparts

• the true foundations, the
  • consideration of Quadrangular Solids. Proposition 1.
  • proportion
    • of Triangular Solids { the section. 2. / the calculation. 3.
    • of exterior Triangular Solids. 4.
    • of interior Triangular Solids. 5.
• the very Rules of the bodies that must be removed This refers to the "voids" or excavations made to create defensive structures.
  • small works { Without defense, in Redoubts. 6. / with defenses, { Star Forts. 7. / Forts with half-bastions. 8.
  • large works { Quadrantal & halves. 9. / Dodrantal referring to a three-quarter scale & Royal. 10.
  • Of superior & inferior Solids
    • the sectioning in general. 11.
    • in particular, their proportion when the width { is retained, in { superiors. 12. / inferiors. 13. / is changed, in { superiors. 14. / inferiors. 15.
• the examples such as
  • The Solidity of the Rampart, by proposing therein
    • Of the Gates
      • Principally { the invention in { Small works. 16. / large works { Quadrantal & halves. 17. / Dodrantal & Royal. 18. / Fortresses. 19.
      • The Solidity In this context, "solidity" refers to the total volume of material. that must be removed there. 20.
      • by accident meaning "incidentally" or as a related circumstance the constructions { of a drawbridge. 21. / of other required things. 22. / interior of a Guardhouse. 23.
    • the use, considered
      • universally { The calculation of common Solidity. 24. / The reduction of measures. 25. / The project of expenses. 26.
      • particularly { the indication of { time. 27. / number of workers. 28.
  • the Solidity of the ditches; how
    • they are arranged, so that the earth taken from them is sufficient. 29.
    • their calculation is made
      • in small works { Without defense, in Redoubts. 30. / with defense { in Star Forts. 31. / in forts with half-bastions. 32.
      • in large works such as { Quadrantal & halves. 33. / Dodrantal & Royal. 34.
• Sciagraphy the art of representing three-dimensional objects in perspective or through the projection of shadows, which is { Common: of which it treats. 35. / Perfect, which comes from the art of Perspective. 36.
• by accident, of the construction of Castles & Citadelles. 37.

ARRANGEMENT OF THE FOURTH BOOK.

A second hierarchical tree diagram (analytical table) for the fourth book, structured similarly to the first, detailing military architecture, fortifications, and siege tactics.

The fourth book comprises

• the preparations, the use of which is found
  • either in the field
    • to make { equilateral Triangles, proposition. 1. / & others. 2.
    • for { right angles { from a point on a line. 3. / from the end of a line. 4. / & others, their division. 5.
  • on paper, to make a regular figure there. 6.
• the Rules
  • of the Defensive, of the works themselves which are
    • Designs
      • Regularity of the figures where it is treated
        • in particular, of Royal figures large-scale, ideal fortifications { such as forts, { the invention of things required therein. 7. / of the figure, & its { Construction. 8. / Fortification. 9. / & Fortresses, their { construction. 10. / Fortification. 11.
        • Small ones, which are treated in. 12.
        • In general, of regular figures for making them in the field. 13.
      • Irregular ones, of which { The rules are written. 14. / & some examples of importance. 15.
    • Plans, namely { of the Profile. 16. / of the Ichnography the ground plan or horizontal section of a building or fortification. 17.
    • exterior works
      • alone, { small, the construction { of the Ravelin a triangular fortification located in front of the inner works. 18. / of a half-moon a crescent-shaped outwork. 19. / large, the construction { of the Hornwork an outwork with two long sides and a front resembling horns. 20. / of the Crownwork a large outwork consisting of a central bastion and two half-bastions. 21.
      • Joined to one another, as of a Ravelin, & a Crownwork. 22.
      • in general, the arrangement of a Siege. 23.
  • Of the offense
    • in particular for the Besiegers
      • the Circumvallation original: "Circonvallatio", the lines of fortifications built by the besiegers to protect themselves from relief armies. { the theory { Castrametation the art of designing and laying out a military camp, how one must { Fortify a field. 24. / make the Quarters { separately { for the Infantry. 25. / for { the Cavalry. 26. / in general. 27. / The connection by lines { considered by themselves. 28. / furnished with various works. 29.
      • the assault by the aid of { Batteries. 30. / advancements, by { Approaches trenches dug toward the enemy. 31. / Gallery a covered passage or tunnel. 32.
    • The Besieged, their last efforts & refuges. 33.
    • The practice, in what way one shall make the portrait meaning the visual representation or map of a Siege. 34.