Book:Alfred E. Holbrow/Geometrical Drawing/Twelfth Edition

Subject Matter

 * Definition:Geometry

Contents

 * Preface


 * Preface -- Second Edition

Plane Geometry

 * Section $\text {I}$. -- Introduction.
 * Units of Measurement, Measuring Equipment, Use of a Line and Pins, Drawing and Drawing Material.


 * Section $\text {II}$. -- Lines and Angles
 * Definitions, Simple Problems with Practical Applications Measuring obstructed lines in the field, Perpendiculars and Parallels, Use of Set Squares and Protractors, Angle Measuring in the open, Prismatic Compass, Out-door Records.


 * Section $\text {III}$. -- Division of Lines, and Construction of Scales
 * Simple Problems in the Division of Lines, Construction of Scales, Diagonal Scales, Scale of Chords, Proportional Division of Lines, Graphic Determination of Proportional Parts.


 * Section $\text {IV}$. -- Triangles
 * Definitions, Necessary Data, Applications to Out-door Measuring, Use of the Plane Table, The Theodolite, Measurement of Inaccessible Objects and determination of Heights.


 * Section $\text {V}$. -- Quadrilaterals
 * Simple and Practical Problems of the Square, Rectangle, Rhombus, Rhomboid, etc., Measuring and Plotting Regular and Irregular Quadrilaterals, Applications to Field Work.


 * Section $\text {VI}$. -- Polygons
 * General Constructions, Particular Methods of setting out applicable to Certain Figures, Measurement of Regular Polygons, the Recording of Dimensions, Correction of Error.


 * Section $\text {VII}$. -- Areas
 * The Area of Plane Figures, Construction of Figures of Required Area, Division of Areas, Areas of Measured Ground.


 * Section $\text {VIII}$. -- Circles and Lines
 * Definitions, Building up Curves, the Circle and Line, Draughtsmanship, Circles in Contact, Field Work and Examples.


 * Section $\text {IX}$. -- The Ellipse
 * Deduction, Definitions and Properties, Methods of setting out on paper and practically. Use of the Trammel, Line and Pins.


 * Section $\text {X}$. -- Inscribed and Circumscribing Figures
 * Utilising the Problems of the previous Sections, with Applications to Inscribed and Circumscribed Triangles, Squares, Polygons, Circles and Semi-Circles. Application to Ornamental Work and Draughtsmanship.


 * Section $\text {XI}$. -- Copying, Enlarging and Reducing
 * The Application of Geometrical Principles to the Copying, Enlarging and Reducing of given figures, Copying from Dimensioned Diagrams, Use of Squares in enlarging or reducing.


 * Section $\text {XII}$. -- Geometrical Ornament
 * The application of the Triangle, Square, Polygon etc., to Network, Borders, Diaper patterns; Interlaced Borders, Filling Enclosed Areas, Sub-division of Rectangles, Circles; Construction of Arch Outlines.

Solid Geometry

 * Section $\text {XIII}$. -- Solids and Simple Projection
 * Geometrical Solids, their appearance, properties and general features; Construction of Models in Paper, Card and Wood; Principles of Projection, Plans and Elevations.


 * Section $\text {XIV}$. -- Auxiliary Views and Sections
 * Projection of Geometrical Solids and other objects in more difficult positions, Sections of Solids and the Development of the Surfaces.


 * Section $\text {XV}$. -- Pictorial Projection
 * Types of Pictorial Projection, Oblique Projection, Objects in Isometric Projection.


 * Section $\text {XVI}$. -- Workshop Drawings
 * Dimensioned Scale Drawings of the equipment illustrated in the earlier sections, Wood Models, Drawing Board, Tee and Set Squares, Plane Table and Tripod, Prismatic Compass, A Model Theodolite.


 * Section $\text {XVII}$. -- Points, Lines and Planes
 * An Introduction to the Projection of Points, Lines and Planes. Determination of Inclination, True Length, Explanatory Models, Planes in various positions, Intersecting Planes.