Chapter VII: Part I

GEOMETRY.—Straight Lines.—Curved Lines.—Solids.—Compound
Lines.—Parallel Lines—Oblique or Converging Lines.—Plane
Figures.—Angles.—Right Angles.—Acute Angles.—Obtuse
Angles.—Right-angled Triangles.—Quadrilateral
Figures.—Parallelograms.—Rectangles.—Squares.—Rhomboids.—
Trapeziums.—Trapezoids.—Diagonals.—Polygons.—Pentagons.—Hexagons.—
Heptagons.—Octagons.—Circles.—Chords.—Tangents.—
Sectors.—Quadrants.—Arcs.—Concentric and Eccentric
Circles.—Altitudes.—Problems I. to XXIX.—Drawing of
Angles.—Construction of Geometrical Figures.—Bisection of
Lines.—Trisection of Lines and Angles.—Division of Lines into
any Number of Parts.—Construction of Triangles, Squares and
Parallelograms.—Construction of Proportionate Squares.—Construction
of Polygons.—Areas of Polygons.—Areas of Concentric Rings and
Circles.—Segments of Circles.—The use of Ordinates for Obtaining
Arcs of Circles.—Drawing an Ellipse with a Trammel.—Drawing
an Ellipse by means of a String.—Same by Ordinates.—Raking
Ellipses.—Ovals.—Sixty-two Illustrations.

PART II.

ARCHES, CENTRES.—Window and Door Heads.—Semi-circular Arch—Segmental
Arches.—Stilted Arches.—Horseshoe Arch.—Lancet Arch.—Equilateral
Arch.—Gothic Tracery.—Wheel-Windows.—Equilateral Tracery.—Square
Tracery.—Finished Leaf Tracery.—Twenty-Two Illustrations.

PART III.

ROOFS.—Saddle Roof.—Lean-to or Shed Roof.—Simple Hip-Roof.—Pyramidal
Roof.—Theoretical Roof.—Roof with Straining Beam.—Gothic
Roof.—Hammer-Beam Roofs.—Curved Principal Roofs.—Roofs with
Suspending Rods.—Deck Roofs.—King-post and Principal Roof.—Queen-post
and Principal Roof.—Roofs with Laminated Arches.—Strapped Roof
Frames.—Tie-beam Roofs.—Roofs for Long Spans.—Theatre Roof.—Church
Roof.—Mansard Roof.—Slopes of Roofs.—Rules for Determining the Sizes
of Timbers for Roofs.—Acute and Obtuse Angled Hip-Roofs.—Development
of Hip-Roofs.—Obtaining Lengths and Bevels of Rafters.—Backing
Hip Rafters.—Lengths, Bevels and Cuts of Purlins.—Circular,
Conical and Segmental Roofs.—Rafters with Variable Curves.—Veranda
Rafters.—Development of all kinds of Rafters.—Curved Mansard
Rafters.—Framed Mansard Roofs.—Lines and Rules for obtaining various
kinds of Information.—Thirty-four Illustrations.

Part IV.

COVERING OF ROOFS.—Shingling Common Roofs.—Shingling
Hip-Roofs.—Method of Shingling on Hip Corner.—Covering Circular
Roofs.—Covering Ellipsoidal Roofs.—Valley Roofs.—Four Illustrations.

PART V.

THE MITERING AND ADJUSTING OF MOULDINGS.—Mitering of Spring
Mouldings.—Preparing the Mitre-box for Cutting Spring
Mouldings.—Rules for Cutting Mouldings with Diagrams.—Mitre-boxes of
various forms.—Lines for Spring Mouldings of various kinds.—Seven
Illustrations.

PART VI.

SASHES AND SKYLIGHTS.—Raised Skylights.—Skylights with Hips.—Octagon
Skylights with Segmental Ribs.—Angle-bars, with Rules and Diagrams,
showing how to obtain the Angles, Forms, etc.—Sash-Bars, Hints on
their Construction.—Twelve Illustrations.

PART VII.

MOULDINGS.—Angle Brackets.—Corner Coves.—Enlarging and Reducing
Mouldings.—Irregular Mouldings.—Raking Mouldings, with Rules
for Obtaining.—Mouldings for Plinths and Capitals of Gothic
Columns.—Mouldings around Square Standards.—Mitering Circular
Mouldings with each other.—Mitering Circular Mouldings with Straight
ones.—Mitering Mouldings at a Tangent.—Mitering Spring Circular
Mouldings.—Description of Spring Mouldings.—Lines for Circular Spring
Mouldings.—Seventeen Illustrations.