II. Plane Geometry.

Similarity of figures formed by straight lines, their contents. Theory of the circle; measurement of the circle and of its parts. Geometrical analysis and application of algebra to geometry. (2½ months.)

III. Plane Trigonometry.

Trigonometrical functions and their logarithms. Calculation of triangles and polygons, certain parts being given. Application to the circle. (2 months.)

B. THE LECTURES IN THE SECOND CŒTUS COMPRISE,—

I. Geometry.

1. Geometry of solids. Place of lines and superfices in space. Solid angles, solids, determination of their superfices and contents. Applications, with consideration of the weights of material bodies.

2. Solid trigonometry, with its application to the superfices of the earth.

3. The theories of projection and co-ordinates.