The new method of fortification, as practised by Monsieur de Vauban, Engineer General of France with an explication of all terms appertaining to that art / made English.

Title

The new method of fortification, as practised by Monsieur de Vauban, Engineer General of France with an explication of all terms appertaining to that art / made English.

Author

Vauban, Sébastien Le Prestre de, 1633-1707.

Publication

London :: Printed for Abel Swall ...,

1691.

Rights/Permissions

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Subject terms

Fortification -- Early works to 1800.

Geometry -- Early works to 1800.

Link to this Item

https://name.umdl.umich.edu/A47731.0001.001 content_copy

Cite this Item

"The new method of fortification, as practised by Monsieur de Vauban, Engineer General of France with an explication of all terms appertaining to that art / made English." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A47731.0001.001. University of Michigan Library Digital Collections. Accessed May 8, 2025. content_copy

Contents

• title page
• To His GRACE, THE DUKE of ORMOND.
• THE PREFACE.
• An Advertisement to the Book-Binder.
• A TABLE of the Mat∣ters contained in this Trea∣tise of FORTIFICA∣TION.
• A NEW TREATISE OF Geometry. BOOK I.
  • CHAP. I.
  • CHAP. II. To know how Figures are made, the following Problems must be exa∣mined.
    • I. To draw a Line a parallel to a given Line.
    • II. From the point G, to draw a parallel to a given Line HI.
    • III. To raise Perpendicular on a given Line, from a given point.
    • IV. To raise a Perpendicular at the end of a given Line AB.
    • V. From a given point G, to let fall a Per∣pendicular upon a given Line.
    • VI. To divide a given Line into two e∣qual parts.
    • VII. To divide a Line AB into several e∣qual parts.
    • VIII. To describe an Angle equal to an Angle given.
    • IX. To divide an Angle into two equal parts.
    • X. To draw a Circle through three given points ABC, or to find the Center of a given Circle, or to finish a Circle when there is but one part given.
    • XI. To make a Circle two, three, or four times bigger than the given ne, &c.
    • XII. To make an Oval.
    • XIII. To draw a Spiral Line.
    • XIV. To divide a Circle into 360 equal parts.
    • XV To make an Equilateral Triangle.
    • XVI. To make a Triangle equal to a given One.
    • XVII. To divide a Triangle into several equal parts.
    • XVIII. To make a Square.
    • XIX. To make a Parallelogram.
    • XX. To draw a Pentagon of equal Angles without a Circle.
    • XXI. To make a right-lined Triangle equal to a Circle given.
    • XXII. To find the circumference of a Circle, having only the Diameter.
    • XXIII. To make a Square equal to a given Circle.
    • XXIV. To make one Square equal to two.
    • XXV. To make a Square equal to a Parallelo∣gram.
    • XXVI. To make a Square two, three, or four times greater than it is.
    • XXVII. To make an Equilateral Right An∣gled Square equal to an Oblique Angled Pa∣rallelogram ABCD.
    • XXVIII. To make a right Angled Square e∣qual to the Romb ABCD.
    • XXIX. To make an Equilateral Right An∣gled Square equal to the Triangle ABC.
    • XXX. To make a Parallelogram equal to a given Triangle ABC.
    • XXXI. To make a Parallelogram equal to a right Angled Square ABCD.
    • XXXII. To make a right lined Figure equal to a Figure given.
  • CHAP. III. Of BODIES.
    • I. To make an equilateral Tetraëdron.
    • II. To make a Cube.
    • III. To make a Parallelipiped.
    • IV. To make a Cylinder.
    • V. To make a Cone.
    • VI. To make a Pentaëdral Prism.
    • VII. To make an Octaëdron.
    • VIII. To make a Dodecaëdron.
    • IX. To make an Icosaëdron.
    • X. To make a solid Rhomb.
    • XI. To make a solid Rhomboid.
    • XII. To make a Polyëdron whose Base may be a Pentagon.
  • CHAP. IV. Of PYRAMIDS.
    • I. To make a Triangular Pyramid.
    • II. To make a Pyramid with an equilateral Square for its Base.
    • III. To make a Pyramid whose Base is a Paral∣lelogram.
    • IV. To make a Pyramid with an Equilateral Pentagon for its Base.
    • V. To make a Pyramid, which shall have an Equilateral Hexagon for a Base.
    • VI. To make a Pyramid with a Heptagon for its Base.
    • VII. To make a Pyramid with an Octagon for its Base.
    • VIII. To make a Pyramid with an Enneagon for its Base.
    • IX. To make a Pyramid with a Decagon for its Base.
    • X. To make a Pyramid with an Endecagon for its Base.
    • XI. To make a Pyramid with a Dodecagon for its Base.
• BOOK II.
  • CHAP. I. Of Measuring of Heights.
    • PROBLEMS.
      • I. To take the Vertical Height of any thing, when you can come to the bottom.
      • II. To measure a Vertical Height where you cannot come at the bottom.
      • III. To measure a Perpendicular Height, where you can come at the bottom, with the shadow of a Staff.
      • IV. To measure the Inclination of a Mountain.
      • V. To measure the vertical height of a Moun∣tain.
      • VI. To measure the height of a Tower built upon a Rock.
      • VII. To measure the depth of a Well.
  • CHAP. II. Of Measuring of Distances.
    • PROBLEMS.
      • I. To measure the Distance of one place from another, where they are both accessible.
      • II. To measure the Distance of two places, where∣of one is inaccessible.
      • III. To find the Distance of two places which are both inaccessible.
      • IV. To measure the breadth of a River with a Staff.
      • V. To describe a Figure taken from the Field upon Paper.
      • VI. To describe upon Paper a Figure taken from the Field, which is inaccessible.
  • CHAP. III. Of measuring of Plains.
    • PROBLEMS.
      • I. To measure the Area of a right-angled Triangle ABC.
      • II. To measure the Area of an Oblique-angled Triangle DEF.
      • REMARKS.
      • III. To measure the Area of an equilateral right-angled Square ABCD.
      • IV. To measure the Area of a Parallelogram ABCD.
      • V. To find the Area of a Rhomb, ABCD.
      • VI. To find the Area of a Rhomboid ABCD.
      • VII. To find the Area of any unequilateral Quadrangle.
      • VIII. To find the Area of any regular Polygon.
      • IX. To find the Area of any irregular Poly∣gon ABCDE.
      • X. To find the Area of a Circle.
      • XI. To find the Area of an Oval Figure.
      • XII. To measure the Surface of any Equilate∣ral Pyramid.
      • XIII. To find the Convex Surface of a right lined Cylinder.
      • XIV. To find the Convex Surface of a regu∣lar Cone.
      • XV. To measure the Convex Surface of a Globe.
      • XVI. To find the Area of any Trapeium, as ABCD.
      • XVII. To find the Area of the Base of a round Tower, where you can only come at one part.
  • CHAP. IV. Of Measuring of Solids.
    • PROBLEMS.
      • I. To find the Solidity of a Parallelepiped.
      • II. To find the Solidity of a Prism.
      • III. To find the Solidity of a Cylinder.
      • IV. To find the Solidity of Pyramids and Cones.
      • V. To find the Solidity of a Globe.
      • VI. To find the Solidity of a Tetraëdrum.
      • VII. To find the Solidity of an Octaëdrum.
      • VIII. To find the Solidity of a Dodecaëdrum.
      • IX. To find out the Solidity of an Icosaë∣drum.
      • X. To find the Solidity of a Cube.
      • XI. To find the Solidity of a solid Rhomb, and Rhomboid.
      • XII. To find the Solidity of a Wall, Rampart, Curtain, &c.
  • CHAP. V. Of Measuring Concave Bodies.
    • PROBLEMS.
      • I. To find the Capacity of a Concave Parallele∣piped.
      • II. To find the Capacity of a Ditch.
      • III. To find the Capacity of Columns, Towers, and other Prisms.
      • IV. To find the Capacity of any regular Py∣ramid.
      • V. To find the Capacity of a Cone.
      • VI. To find the Capacity of a Cylinder.
      • VII. To find the Capacity of a Cylinder whose Bases are unequal.
      • VIII. To find the Capacity of a Barrel whose Heads are equal.
      • IX. To find the Capacity of a Barrel whose Heads are unequal.
  • CHAP. VI. Of Transmutation.
    • PROBLEMS.
      • I. To turn a Cylinder into a Parallelepiped of the same height.
      • II. To turn a Cone into a Pyramid of the same height.
      • III. To turn a Parallelepiped into a Cylinder.
      • IV. To turn a Pyramid into a Cone.
      • V. To turn a Prism or a Cylinder into a Py∣ramid or a Cone of the same height, or the contrary.
      • VI. To make a Cube equal ta a Parallepiped.
      • VII. To make a Cube equal to a Cylinder given.
      • VIII. To make a Cube equal to a given Coe.
      • IX. To make a Cube equal to a Pyramid.
      • X. To make a Cone equal to a Globe.
      • XI. To make a Cube equal to a given Globe.
• illustrations
• A NEW TREATISE OF Fortification. BOOK I.
  • CHAP. I.
    • Sect. I. Of the Definition of Military Architecture.
    • Sect. 2. Of the Original of Fortification.
    • Sect. 3. Of the Parts of Fortification.
    • Sect. 4. Of the Division of Military Architecture.
  • CHAP. II.
  • CHAP. III.
  • CHAP. IV. Of the Names and Terms made use of as well in Attack∣ing, as in the Defence of Places, Alphabetically set down.
• A NEW TREATISE OF Fortification BOOK II.
  • CHAP I. Of the Maxims of Fortification.
    • I.
    • II.
    • III.
    • IV.
    • V.
    • VI.
    • VII.
    • VIII.
    • IX.
    • X.
    • XI.
    • XII.
    • XIII.
    • XIV.
    • XV.
    • XVI.
    • XVII.
    • XVIII.
    • XIX.
    • XX.
  • CHAP. II. Of the Situation of Places.
    • I.
      • Advertisement.
    • II.
    • III.
      • Advertisement.
    • IV.
      • Advertisement.
    • V.
    • VI.
    • VII.
      • Advertisement.
  • CHAP. III. Of the Quality of the Earth.
    • Sect. I.
    • Sect. II.
    • Sect. III.
    • Sect. IV.
  • CHAP. IV. Of Provision, and other Necessaries.
• A NEW TREATISE OF Fortification. BOOK III.
  • CHAP. I.
    • Sect. 1. How to inscribe any Polygon within a Circle givn
    • Set.
  • CHAP. II. How to make the Design of a Square.
    • The Square.
    • The Explanation of the Middle-si'd Table.
    • To make the Orillon.
    • To make the Hollow Tower or Flank retir'd.
  • CHAP. III. Of the Structure of the Body of the Place of the Square.
    • The Explanation of this Table.
  • CHAP. IV. Of the Structure of the Half-Moon before the Curtin of the Square.
  • CHAP. V. Of the Structure of the Ravelin before the Curtin.
    • Sect. 2. To make a Ravelin with Lunettes.
    • Sect. 3. To make a Ravelin with Counter-guards.
    • Sect. 4. To make a Ravelin, to be placed at the Entrances into Places.
  • CHAP. VI. To make a Horn-work before the Curtin.
    • To make a Ravelin before these Horns.
  • CHAP. VII. To make a Horn-work before the Bastion.
  • CHAP. VIII. To make a Horn-work with Shoulders.
  • CHAP. IX. To make a Horn-work with a Crown.
  • CHAP. X. To make a Crown-work before the Curtin.
  • CHAP. XI. To make a Corwn-work before the Bastion.
  • CHAP. XII. To make a Ravelin before the Point of a Bastion.
  • CHAP. XIII. To make a Single Tenail.
    • The Ravelin before the Work.
  • CAAP. XIV. To make a double Tenail.
  • CHAP. XV. To make a Bastion with Counter-Guards.
  • CHAP. XVI. Of the Structure of a Pentagon.
    • The Explication of this Table.
    • Of the Structure of a Tenaille in the Moat.
  • CHAP. XVII. Of the Structure of a Hexagon, and other Polygons.
  • CHAP. XVIII. To make the Profil.
    • The Profil of the Body of the Place.
    • The Profil of Exterior Works.
  • CHAP. XIX. How to trace out the Draught of a Fortress in the Field.
    • The Explication of this Table.
  • CHAP. XX. To make the Streets in a Fortress.
• A NEW TREATISE OF Fortification, BOOK IV.
  • CHAP I. Of the Principal Angles of a Fortress.
    • Sect. 1. To find the Angle of the Center of every Regular Fortress.
    • Sect. 2. To find the Angle of the Gorge, as it is called afer Vau∣ban's manner; or the Angle of Exterior Polygons.
    • Sect. 3.
    • Sect. 4. Of the Angle of the Bastions.
    • Sect. 5. Of the Angle of the Curtain.
  • CHAP. II. Of the Flank.
  • CHAP. III. Of the Faces.
  • CHAP. IV. Of the Orillon, and Flank retir'd; together with the Brisure, or Place where the Great Guns are to be planted.
  • CHAP. V. Of the Curtain.
  • CHAP. VI. Of the Parapet.
  • CHAP. VII. Of the Banquets.
  • CHAP. VIII. Of the Rampart.
  • CHAP. IX. Of the Embrasures and Merlons.
  • CHAP. X. Of the Moat in the Body of the Place.
  • CHAP. XI. Of the Moat belonging to the Outer Works, and the A∣vat-Moat.
  • CHAP. XII. Of the covered Way, and of the lacis.
  • CHAP. XIII. Of False Brayes.
  • CHAP. XIV. Of Cavaleers.
    • 1.
    • II.
    • III.
    • IV.
  • CHAP. XV. Of Counterscarps.
  • CHAP. XVI. Of the Streets, Places of Arms, Corps de Guard, and Magazines.
  • CHAP. XVII. Of the Gates.
  • CHAP. XVIII. Of Back-Doors, or Sally-Ports, and Draw-Bridges.
  • CHAP. XIX. Of Bridges.
• A NEW TREATISE OF Fortification. BOOK V.
  • CHAP. I.
    • Of the Raising a Redoubt.
  • CHAP. II. Of the Half Redoubt.
  • CHAP. III. Of the Star-Square.
  • CHAP. IV. Of the Star-Pentagon.
  • CHAP. V. Of the Star-Hexagon.
  • CHAP. VI. Of the Triangle of Half Bastions.
  • CHAP. VII. Of the Square of the Half Bastions.
  • CHAP. VIII. Of the Square of entire Bastions.
  • CHAP. IX. Of a Pentagon with entire Bastions.
  • CHAP. X. Of the Half-Hexagon with entire Bastions.
    • A Remark.
  • CHAP. XI. Of the Maxims of Irregular Fortification.
  • CHAP. XII. The manner of Fortifying an irregular Place, where there is nothing but the Field.
  • CHAP. XIII. Of the Body of the Placo in an Irregular Fortification.
  • CHAP. XIV. To make a Half-Moon before these Fortifications.
  • CHAP. XV. To set other exterior Works before the same Fortifications.
  • CHAP. XVI. How to fortifie an Irregular Place already built.
    • I
    • II.
      • Observation.
    • III.
    • IV.
      • Observation.
    • V.
  • CHAP. XVII. How to Fortifie an Acute Angle.
  • CHAP. XVIII. How to fortifie a Re-entring Angle.
  • CHAP. XIX. Of the Artillery.
• illustrations