Practical Plane and Solid Geometry.

(20 Lectures, 2nd and 3rd Terms.)

Practical Geometry and its connection with an art training.

Instruments—how to select and use them.

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Plane Geometry. — Definitions:—Lines, Angles, Triangles, Quadrangles, Polygons, the Circle and Ellipse.

The division of Lines and Angles.

Trilateral Figures:—Equilateral, Isosceles, Scalene. Right, Acute, and Obtuse Angled Triangles, their construction from given sides, angles, and dimensions.

Quadrangles:—The Square, Rectangle, Rhombus, Rhomboid, and Trapezia, their construction from given sides, angles, and dimensions.

Polygons:—their construction from given sides, angles, and dimensions. Inscribed and described rectilineal figures.

Proportion and area.

The Circle:—inscribed and circumscribed rectilineal figures.

The Ellipse:—different methods of construction. Tangents and perpendiculars.

Solid Geometry.—Definitions of Elementary Solids:—The Cube, Prism, Pyramid, Sphere, Cylinder, and Cone.

Planes of projection. Plans, Elevations, and Sections.

Given the projection of a solid in either plane to find its projection in the other plane. Vertical and Horizontal Sections.

The Circle and its projection applied to the cylinder, cone, and sphere.